Exam craft

Scope. Every VCAA Further Mathematics / General Mathematics examination paper and examination report in the local corpus, 2006–2026 (corpus/text\*.txt). Every claim below is traceable to a named corpus file. VCAA's own words are quoted wherever possible; ellipses and [...] mark elision. Corpus text is OCR-derived, so obvious character-encoding artefacts (� for ', ×, –) have been silently repaired inside quotes; nothing else has been altered.

How to read this. Sections 1–4 are the response contract — what VCAA's verbs demand and what a full-mark answer physically looks like on the page. Section 5 is the architecture — how a paper is assembled. Sections 6–7 are exam-room strategy and the ranked list of what actually costs students marks.

The single most important source. Every Exam 2 examination report from 2006 to 2024 opens with a "General comments" section in which VCAA states its expectations in its own voice. Those sections are the backbone of Sections 1–4 and 7. (Note: the 2023 Exam 2 report is not in this corpus, and the 2025 Exam 2 report — 2026-01_2025-GeneralMaths2-report.txt — has no General comments section; its advice is distributed through the per-question notes instead.)

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0. The three design eras (orientation)

The renaming is announced in VCAA's own words at the end of the last Further report (Documents_exams_mathematics_2022_2022furmaths2-report.txt):

"This was the last year of the Further Mathematics study design and examination. In 2023, VCE
Further Mathematics will be renamed VCE General Mathematics Units 3–4 and will follow the revised
study design and examination specifications."

VCAA's current specification document (2025-04_genmath-specs-w.txt) states the rule that governs everything in Section 1:

"Students should use command/task words, other instructional information within questions and
corresponding mark allocations to guide their responses."

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1. Command-word taxonomy

1.1 Frequency of instruction verbs across all Exam 2 papers in the corpus

Counted over every Exam 2 paper 2006–2026 (*furmath2*, *furmaths2*, *genmath2*, *GeneralMaths2*):

The headline finding: "Determine" is the house verb. It outnumbers every other instruction roughly 2:1. If a General Mathematics question wants a number, it almost always says Determine, Calculate or Find — and VCAA treats those three as interchangeable in difficulty.

1.2 Mark allocation by verb

Counting instances where the mark allocation is printed on the same line as the instruction, across all Exam 2 papers:

Rule of thumb: every command word defaults to 1 mark. Two- and three-mark parts are made by compounding tasks, not by escalating the verb — and VCAA often prints the compound explicitly as 1 + 1 = 2 marks, 1 + 2 = 3 marks, 2 + 1 = 3 marks, 1 + 1 + 1 = 3 marks (seen across the corpus, e.g. Documents_exams_mathematics_2017_2017furmath2-w.txt: "c. Explain why the matrix PQ is not defined. 1 + 1 = 2 marks").

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1.3 The verbs, one by one

Write down — 1 mark, always. Retrieval only. No working expected.

Used when the answer can be read straight off a table, diagram, matrix or definition. It is VCAA's signal that no calculation is required.

Real examples: - "a. Write down the number of categorical variables in Table 1." — 1 mark (Documents_exams_mathematics_2023_2023genmath2-w.txt) - "a. Write down the order of matrix V." — 1 mark (Documents_exams_mathematics_2024_2024GeneralMaths2-w.txt) - "Write down the matrix F." — 1 mark, where F is a diagonal matrix (2025-11_2025-GeneralMaths2.txt) - "a. Write down the immediate predecessor(s) for activity I." — 1 mark (Documents_exams_mathematics_2023_2023genmath2-w.txt) - "Write down the critical path for this project." (Documents_exams_mathematics_2016_2016furmath2-w.txt) - "f. Write down whether this prediction is an interpolation or an extrapolation." — 1 mark (Documents_exams_mathematics_2023_2023genmath2-w.txt) - "Write down a route that Reynold could follow to minimise the total distance travelled." — 1 mark (Documents_exams_mathematics_2023_2023genmath2-w.txt) - "Write down the greater depreciation amount in dollars correct to the nearest cent." (Documents_exams_mathematics_2009furmath2-w.txt)

The one systematic exception is a recurrence relation, which can be worth 2 marks because it has two components (initial value and rule): - "Write down a recurrence relation, in terms of B₀, Bₙ₊₁ and Bₙ, that could be used to model the balance of the loan over these four years. — 2 marks" (Documents_exams_mathematics_2019_2019furmath2-w.txt)

And VCAA's marking guide confirms both halves must be right for the mark:

"8ai | V₀ = 40 000 Vₙ₊₁ = Vₙ – 8000 | A1 | **BOTH parts must be correct**"
(2025-11_2025-GeneralMaths2-assessment-guide.txt)

What the reports say a correct response looks like:

"Many questions on the examination were worth one mark only, and with these questions the mark was
awarded for a correct answer. Generally there was no need to put the answer into a sentence. For
example in Networks Question 3c. the required answer was simply activity. Some responses went on
to erroneously give the float time of this activity and therefore could not be awarded the mark."
— Documents_exams_mathematics_2019_FM2_examrep19.txt

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Determine — 1 mark default; 2 marks when the task compounds. The workhorse calculation verb.

Real examples across years: - "Determine the bearing of B from A." — 1 mark (Documents_exams_mathematics_2006furmath2-w.txt) - "Determine the monthly interest payment, correct to the nearest cent." (Documents_exams_mathematics_2012_2012furmath2-w.txt) - "Determine the minimum number of students who will need to participate in rock climbing." (Documents_exams_mathematics_2013_2013furmath2-w.txt) - "Determine the interest rate per annum." — 1 mark (Documents_exams_mathematics_2023_2023genmath2-w.txt) - "b. Determine the equation of the least squares line in terms of the variables life span and … — 2 marks" (2026-06_2026-NHT-GeneralMaths2.txt) - "b. Determine the latest start time of activity H. — 2 marks" - "Determine the deseasonalised value for average monthly ice cream consumption in …" (Documents_exams_mathematics_2023_2023genmath2-w.txt) - "b. Determine the values of the intercept and the slope of this least squares line." — 1 mark

The 2-mark variants are always genuinely two-step. VCAA's guide shows the split:

"3 | SD = 280 000; 560 000 is 3 SD below mean; 1 680 000 is 1 SD above mean | 83.85% | **M1A1** | Correct SD of 280 000" — 2025-11_2025-GeneralMaths2-assessment-guide.txt
(M1 = method mark for the standard deviation; A1 = answer mark.)

"For all questions worth more than one mark, students are strongly advised to show working. An
incorrect answer on its own will not be awarded any marks in a two-mark question; however, often a
method mark can be awarded for appropriate working."
— Documents_exams_mathematics_2019_FM2_examrep19.txt

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Calculate — 1 mark default. Identical demand to Determine; used slightly more in measurement/finance.

• "Calculate the height of the tree." — 1 mark (Documents_exams_mathematics_2012_2012furmath2-w.txt)
• "Calculate the annual flat interest rate charged. Write your answer as a percentage correct to one decimal place." (Documents_exams_mathematics_2009furmath2-w.txt)
• "Calculate the value of θ, rounded to the nearest degree." — 1 mark
• "a. Calculate the state matrix, S₁, to show the expected number of shoppers at each of the three centres …" — 1 mark
• "b. Calculate the interest associated with payment number 3." — 1 mark
• "c. Calculate the coefficient of determination for the association between the daily maximum temperature …" — 1 mark
• "i. Calculate the nine-mean smoothed rainfall for month 7." — 1 mark
• "Calculate the maximum number of cube-shaped boxes that can fit into the space within the display …" — 1 mark (Documents_exams_mathematics_2021_2021furmath2-w.txt)

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Find — 1 mark default; 2 marks when a composite quantity is required.

• "a. Find the cost at the airport for 23 kg of luggage." — 1 mark
• "a. Find the distance, SX, correct to the nearest metre." — 1 mark
• "b. Find the effective rate of interest per annum charged on this hire-purchase agreement." — 1 mark
• "Find the shortest great circle distance between Magadan and Sydney." (Documents_exams_mathematics_2019_2019furmath2-w.txt)
• "b. Find the volume of the solid concrete staircase in cubic metres. — 2 marks"
• "b. Find the value of f that will allow the farmer to maintain a constant number of ladybirds in … — 2 marks"
• "Find the residual, rounded to the nearest whole number, when the least squares line is …" (2026-06_2026-NHT-GeneralMaths2.txt)

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State — 1 mark, always. A named item or a classification. One or two words.

• "b. State whether the variable type is numerical, nominal or ordinal." — 1 mark (2025-11_2025-GeneralMaths2.txt)
• "a. State the order of matrix E." — 1 mark (2025-11_2025-GeneralMaths2.txt)
• "State the activities that are common to both critical paths." — 1 mark (2025-11_2025-GeneralMaths2.txt)
• "a. State the critical path for this project." — 1 mark (2026-06_2026-NHT-GeneralMaths2.txt)
• "c. State all the activities that have a float time of 2 minutes." (2026-06_2026-NHT-GeneralMaths2.txt)
• "b. State the value of k." (Documents_exams_mathematics_2010furmath2-w.txt)

Report on what a correct response looks like:

"The answer is linearity. A one-word answer was all that was required. Some gave long answers
that contradicted what was expected of them…"
— Documents_exams_mathematics_2019_FM2_examrep19.txt, Q5f.i

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Describe — 1 mark (occasionally 2). Answer only the named attributes. Nothing more.

This is the single most dangerous verb on the paper, because students volunteer extra attributes and lose the mark. VCAA names the required attributes explicitly in the stem, and the attributes are the mark scheme.

• "a. Describe the shape of the distribution." — 1 mark (Documents_exams_mathematics_2020_2020furmath2-w.txt)
• "b. Describe this association in terms of strength and direction." — 1 mark (Documents_exams_mathematics_2020_2020furmath2-w.txt)
• "b. Describe the association between relative humidity and temperature in terms of strength and direction." — 1 mark (Documents_exams_mathematics_2022_2022furmath2-w.txt)
• "b. Describe the linear association between life span and sleep time in terms of strength and direction. — 2 marks" (2026-06_2026-NHT-GeneralMaths2.txt)
• "c. Describe the general pattern in rainfall that is revealed by the smoothed time series plot." (Documents_exams_mathematics_2009furmath2-w.txt)
• "c. Describe the way in which the number of people attending the Dinosaurs' games is expected to change…" (Documents_exams_mathematics_2010furmath2-w.txt)

What VCAA says a correct response looks like — three years in a row on the same point:

"For example, in Question 1f. of the Core section when asked to describe the shape of the
distribution, some students gave additional information concerning the centre and spread.
Attention needed to be given to the type of statistical description required."
— Documents_exams_mathematics_2018_FM2_examrep18.txt

"…in Core Question 6b. students were asked to describe the strength and direction of the association
between two variables. Many students recognised that the association was strong and negative but
then gave unnecessary additional information that the association was of linear (or non-linear)
form." — Documents_exams_mathematics_2020_2020furmaths2-exam-report.txt

"…in Core Question 4b., students were only asked to describe the association in terms of strength
and direction. It was not appropriate to further comment on form or possible outliers."
— Documents_exams_mathematics_2022_2022furmaths2-report.txt

The 2025 marking guide encodes the order requirement:

"4e | strength: weak / direction: negative | A1H1 | Accept only this answer"
(2025-11_2025-GeneralMaths2-assessment-guide.txt); 2024's guide adds "3d | Strong, Positive | A1 | **In this order**" (2025-04_2024generalmathematics2-assessment-guide.txt).

One documented safe extra: "Negatively skewed. It was acceptable to include the absence of outliers." — 2025-03_2024generalmaths2-report.txt, Q2a. In 2019, the same extra was fatal on a different question (see §4.4) — so the safe rule is: say only what was asked.

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Explain why / Explain — 1 mark (occasionally 1 + 1 = 2). Must connect mathematics to the specific data in the question.

• "a. Explain why MQ is not defined." — 1 mark (2026-06_2026-NHT-GeneralMaths2.txt)
• "c. Explain why the matrix PQ is not defined. — 1 + 1 = 2 marks" (Documents_exams_mathematics_2017_2017furmath2-w.txt)
• "d. Explain, in terms of rows and columns, why the matrix product V × P is defined." — 1 mark
• "c. Explain why the effective interest rate per annum is higher than the flat interest rate…" — 1 mark
• "ii. Explain why this prediction may be of limited reliability." — 1 mark
• "Explain why, quoting the values of an appropriate statistic." (Documents_exams_mathematics_2017_2017furmath2-w.txt)
• "Explain why, quoting appropriate percentages to support your explanation." — 1 mark
• "Explain why this dummy activity is used on the network diagram." (Documents_exams_mathematics_2012_2012furmath2-w.txt)
• "Explain why the median is a better measure of the centre of the body weight data than …" (2026-06_2026-NHT-GeneralMaths2.txt)

What a correct response looks like — VCAA is blunt and consistent:

"It is not sufficient to say 'As you can see, there are odd vertices.' This could simply be a
transcription from a definition in the book of notes without showing any reference to the data in
the question. Responses such as this do not indicate that the student understands what vertices
are, let alone what odd vertices are. A response that does indicate an understanding of vertices
could be 'Vertices at Q and P are of odd degree while all the other vertices are of even degree.'"
— Documents_exams_mathematics_further_maths2_assessrep_08.txt (2008)

"Generic definitions that did not specifically refer to the vertices in this network were not
accepted. Examples of this were 'a eulerian circuit requires all vertices of even degree', 'does
not contain a eulerian circuit' and 'because all towns must have an even degree leading to it.'
None of these statements indicate that the student understands which, if any, of these vertices has
an odd degree." — Documents_exams_mathematics_further_maths2_assessrep_08.txt (2008)

"Responses had to be relevant to the context of the question. A number of students seemed to quote
material directly from their notes and gave unacceptable answers such as 'there is no connection or
edge' or 'cannot get to one point from another' with no link to the context at hand."
— Documents_exams_mathematics_further2_assessrep_10.txt (2010)

"Many students had difficulty with responses to Questions 5fi. and 5fii., often contradicting
themselves or writing definitions directly from a bound reference without any link to the
question." — Documents_exams_mathematics_2019_FM2_examrep19.txt

The marking guides show the shape of an accepted answer:

"10a | MQ is NOT defined because the number of columns in M (1) is not equal to the number of rows in Q (3). | A1 | **Must reference M & Q OR 1 and 3 for columns/rows**"
— 2025-11_2025-GeneralMaths2-assessment-guide.txt
"17a | Two vertices are of odd degree OR Not all vertices are of even degree. | A1 | **MUST mention vertices and type**" — same file
"1d | Due to data being skewed and/or the presence of an outlier. | A1 | **Must reference skew or outlier**" — same file

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Give a reason / Justify your answer — 1 mark, sometimes the second mark of a 2-mark pair.

• "ii. Give a reason why this prediction may have limited reliability." — 1 mark (Documents_exams_mathematics_2017_2017furmath2-w.txt)
• "Give a reason to justify your answer." (Documents_exams_mathematics_2010furmath2-w.txt)
• "…is associated with gender? Justify your answer by quoting appropriate percentages."
• "…is associated with year level? Justify your answer by quoting appropriate percentages. It is sufficient to consider only one category…"
• "b. Do the equations have a unique solution? Provide an explanation to justify your response."

The 2-mark anatomy is explicit in the reports:

"A statement that a decrease or change in median (or IQR) signals an association was required for
the first mark to be awarded. Median (or IQR) values for all three months needed to be quoted
correctly for the second mark to be awarded. Successful responses focused on one statistic only
(usually the median) and quoted the values from the table rather than estimating from the
boxplots." — Documents_exams_mathematics_2019_FM2_examrep19.txt, Q3

"A statement that clearly indicates the contention is supported with a change or difference in one
category of event was required for the first mark. For the second mark a statement similar to the
following (choosing one category) using appropriate percentages was required: 'The percentage of
females who participated in the 12 km walk (34%) was higher than the percentage of males who
participated in that event (16%).'"
— Documents_exams_mathematics_2021_NHT_2021-NHT-Further-Maths-2-exam-report.txt

So the template for a justify with statistics answer is: [direction of difference] + [the two or three actual numbers, copied exactly from the table] + [the two variable names].

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Comment on — extremely rare (2 occurrences in the whole corpus). Treated as Describe with a comparison.

The only modern instance: - "ii. Using the information in Table 2, comment on the relative spread in the …" — 1 mark (2025-11_2025-GeneralMaths2.txt, Q1c.ii)

VCAA's model answer and its warning:

"House sale prices have a lower spread than apartment sale prices as shown by the lower standard
deviation. The question clearly indicated using the information in Table 2, so using other
statistics such as range and IQR was not appropriate."
— 2026-01_2025-GeneralMaths2-report.txt

And the marking guide:

"1cii | House sale prices have a lower spread (standard deviation) than spread of apartment sale prices. | H1 | OR equivalent. **Must have comparative word, spread or standard deviation and the two variables.**" — 2025-11_2025-GeneralMaths2-assessment-guide.txt

So Comment on = comparative word + the named statistic + both groups/variables, using only the statistic the question pointed you at.

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Show that — 1 mark (sometimes 2). The most rule-bound verb on the paper. See Section 2 in full.

• "a. Show that the annual interest rate of the loan is 3.34% per annum." — 1 mark
• "b. Show that the compound interest rate for this loan is 2.6% per annum." — 1 mark (Documents_exams_mathematics_2021_2021furmath2-w.txt)
• "d. Show that the moth captured in the forest that had a wingspan of 52 mm is an outlier. — 2 marks"
• "i. Show that the predicted winning time for the women's 100 m freestyle in 2032 is 49.252 seconds." — 1 mark (Documents_exams_mathematics_2021_2021furmath2-w.txt)
• "b. Show that the elephant habitat is expected to be overpopulated in 2016. — 2 marks"
• "a. Show that the average depreciation in the value of the caravan per year was $2750." (Documents_exams_mathematics_2016_2016furmath2-w.txt)
• "i. Show that the value of the missing residual is 27 984." (2025-11_2025-GeneralMaths2.txt)
• "Show that the wind speeds of 59 km/h and 70 km/h would appear as outliers in this boxplot." (Documents_exams_mathematics_2022_2022furmath2-w.txt)

Use … to show that — the constrained variant. The named method is compulsory.

• "a. Use recursion to show that the value of the tools after two years, V₂, is $48 600." (Documents_exams_mathematics_2019_2019furmath2-w.txt)
• "a. Use recursion to show that the value of the machinery after two years is $98 160."
• "b. Use recursion to show that the value of the snooker table after two years, V₂, is $2640." — 1 mark
• "a. Use the cosine rule to show that the angle θ, correct to the nearest degree, is equal to 81°."
• "a. Use the point (100, 8075) to show that the value of k is 1425."
• "i. Use the equation of the least squares line and the information in Table 4 to show that the …" — 1 mark
• "b. Use information from the plots above to show why the bird with a skull length of 33.5 mm is …"
• "a. Show recursive calculations that …" (2022 Core Q8a — see §2)

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Interpret — 1 mark (occasionally 2). Must be expressed in the named variables, with a rate of change.

• "a. Interpret the slope of this least squares line in terms of the atmospheric pressure at this weather station …" (Documents_exams_mathematics_2019_2019furmath2-w.txt)
• "c. Interpret the slope of the least squares line in terms of the variables relative humidity and temperature." — 1 mark
• "d. Interpret the coefficient of determination in terms of life span and sleep time." — 1 mark
• "ii. Interpret the intercept of the least squares line in terms of the variables …" (Documents_exams_mathematics_2016_2016furmath2-w.txt)
• "a. Interpret Constraint 4 in terms of the number of Flick hockey sticks and the number of Jink hockey sticks." — 1 mark (Documents_exams_mathematics_2016_2016furmath2-w.txt)
• "a. Interpret each of the three elements in the first row of matrix L." — 1 mark (2026-06_2026-NHT-GeneralMaths2.txt)
• "ii. Interpret the value of this determinant in relation to the solution of the simultaneous linear … " — 1 mark (Documents_exams_mathematics_2022_2022furmath2-w.txt)

What VCAA says a correct response looks like:

"An interpretation of the slope of a line was required. Several students wrote 'strong, positive,
linear relationship' but [that is a description of the association, not of the slope]. …
The interpretation of the slope had to relate to the average pay rate and the year. This means that
appropriate units must [be used]."
— Documents_exams_mathematics_2013_FM2_examrep13.txt

"Interpretation of the slope needed reference to a ratio of changes — a change in [the] response
variable [for a unit change in the explanatory variable]."
— Documents_exams_mathematics_2017_fm2_examrep17.txt

"Many students gave a response that was close to being correct but did not include the 1 degree
increase in temperature. The interpretation of the slope must refer to a change in the response
variable for each unit change in the explanatory variable."
— Documents_exams_mathematics_2022_2022furmaths2-report.txt

"Instead, the slope represented the increase in population for a specific increase in area of one
unit or 1 km²." — Documents_exams_mathematics_2014_FM2_examrep14.txt

Model answers from the marking guides:

"3e | (On average), for each 1 m increase in W_gold, W_best increases by 0.860 m | A1 | **Must be clear reference to the change in both variables**" — 2025-04_2024generalmathematics2-assessment-guide.txt

For coefficient of determination, the required frame is fixed:

"85.7% of the variation in M_gold can be explained by the variation in year. Some students did
not reference the variation in both variables." — 2025-03_2024generalmaths2-report.txt, Q1e
"75% of the variation in sale price can be explained by the variation in days."
— 2026-01_2025-GeneralMaths2-report.txt, Q5b

And a standing trap:

"Common incorrect interpretations referred to causation."
— Documents_exams_mathematics_furthermaths2_assessrep_06.txt

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In the context of this problem / in terms of … — a modifier, not a verb. It converts a definition question into an application question.

• "d. In the context of the problem, what information does matrix G contain?" (Documents_exams_mathematics_2012_2012furmath2-w.txt)
• "a. Explain the meaning of Inequality 1 in the context of this problem." — 1 mark
• "a. Explain the meaning of Inequality 5 in the context of this situation." — 1 mark
• "ii. Interpret the intercept on the horizontal axis in the context of converting dollars to yen." — 1 mark
• "Explain this number in the context of selecting customers for the studies in 2017 and 2018." (Documents_exams_mathematics_2016_2016furmath2-w.txt)

VCAA on what this demands:

"Many students struggled with relating explanations to the context of a problem. … Formulaic
answers were common, with some students referring to 'the first term of the series' rather than to
the cost of the first section of tollway, or 'x and y cannot be more than 150' instead of referring
to the number of pillows sold."
— Documents_exams_mathematics_further2_assessrep_10.txt (2010)

"Sometimes a mark is available for students who simply know definitions or have written these in
their bound reference and can apply the definition within the context of the question. For
example in core Question 6b., the definition of a perpetuity is that its value does not change over
time." — Documents_exams_mathematics_2021_2021furthermath2-report.txt

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Complete the table / sentence / rule / matrix / calculation — 1 mark (occasionally 2). Fill only the boxes.

VCAA uses boxed-response scaffolds heavily. Everything the marker wants is inside the boxes.

• "c. i. Complete the table below by finding the standard deviation, to the nearest whole number, for the sale price of apartments in the sample." — 1 mark (2025-11_2025-GeneralMaths2.txt)
• "b. Complete the stem plot above by adding the data values for days 11 to 15." — 1 mark
• "d. Use the data in Table 1 to complete the following two-way frequency table, Table 2. — 2 marks"
• "Complete the following sentence by filling in the boxes provided." — 1 mark (Documents_exams_mathematics_2020_2020furmath2-w.txt, …2022furmath2-w.txt)
• "Complete the calculations below by writing the appropriate numbers in the boxes provided. — 2 marks"
• "a. Complete the network diagram above by inserting activity G." — 1 mark
• "c. Complete the rule below that gives the value of the coffee machine, Mₙ, in dollars, after n cups…" — 1 mark
• "Complete the matrix equation below to show that purchasing a family ticket could give families …" (Documents_exams_mathematics_2023_2023genmath2-w.txt)
• "Complete the equation for the least squares regression line below by writing the intercept and [slope] …" (Documents_exams_mathematics_2015_2015furmath2-w.txt)

Marking-guide notes show the all-or-nothing nature:

"1d | House(%)/Apartment(%): 0/30, 40/50, 60/20, 100/100 | A1 | **Must have ALL five numbers correct**" — 2025-11_2025-GeneralMaths2-assessment-guide.txt
"15b | 5 + 4 = 7 + 2 | A1 | **All three boxes correct**" — same file
"16 | x = 2, y = 4, z = 2 | A1A1 | Any two boxes correct / All three boxes correct" — same file

Report warning:

"Many students did not follow rounding instructions and wrote 9.7, instead of 9.69, in the first box."
— Documents_exams_mathematics_2015_FM2_examrep15.txt

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Draw / Plot / Sketch / Mark / Label / Shade — 1 mark (occasionally 2). Graphical accuracy is marked to the gridline.

• "a. Draw the graph of the least squares line on the scatterplot above." — 1 mark
• "ii. Draw the three median line on the time series plot." — 1 mark
• "b. Draw activity G on the directed network above." — 1 mark
• "Draw a cross-section of the mountain from A to C on the graph. — 2 marks" (…2015furmath2-w.txt)
• "a. Draw in a minimal spanning tree for this network on the diagram below." (…2008furmath2-w.txt)
• "Draw this cut on the directed network above. Label this cut as Cut 2." (2026-06_2026-NHT-GeneralMaths2.txt)
• "ii. Plot the residual from part i by placing an X on the residual plot above." (2025-11_2025-GeneralMaths2.txt)
• "b. Use three-median smoothing to smooth the time series. Plot the smoothed time series on the plot above."
• "b. Use seven-median smoothing to smooth the time series plot below. Mark the smoothed values … Mark each smoothed data point with a cross (×)."
• "b. Sketch the cross-section of the block of land along the horizontal axis, PQ, below." — 1 mark
• "c. Sketch the weekly profit, P, of selling n single-size bed frames for 0 ≤ n ≤ 40 on the graph below." — 1 mark
• "Label the new vertex 'X' and write the distances on the new edges." — 1 mark
• "b. Construct the boxplot below." — 1 mark
• "Use the five-number summary to construct a boxplot, showing any outliers if appropriate… — 2 marks"

What a correct response looks like:

"Students are advised to use a ruler to draw straight lines. These are often required in the Core
Data analysis and the Graphs and relations module. The use of a ruler enables more accurate lines
and related working." — Documents_exams_mathematics_2019_FM2_examrep19.txt

"Some students skipped this question entirely, while others drew a line by eye. It is necessary to
calculate appropriate points and plot them in order to get an accurate line. Students should ensure
that their line extends across the whole set of axes. Most lines were drawn using a ruler."
— Documents_exams_mathematics_2020_2020furmaths2-exam-report.txt

"Students who wrote the endpoints of (1908, 75.256) and (2020, 48.04) on the graph tended to be
successful. The line needed to be positioned correctly on the graph. The best way to achieve this
would be to establish the two endpoints and connect the two using a ruler. While the writing of
coordinates is not necessary to achieve this aim, it is useful."

"Students should take care when graphing that the tip of the pen, and not the ruler, is on the
correct point. Otherwise the line is moved."
— Documents_exams_mathematics_2020_2020furmaths2-exam-report.txt

"Students need to be precise when marking a point on a grid. For example, Question 3b required
the point (1.9, 1.934). Some students were not as precise as they needed to be when placing 1.934 in
the first half of the grid between 1.93 and 1.94."
— 2025-03_2024generalmaths2-report.txt

"In two questions students were required to provide a label on a diagram. This direction meant that
the label needed to be drawn on the diagram as indicated." — 2025-03_2024generalmaths2-report.txt

"Lower and upper fences are not part of the data set and therefore should not be plotted on a
boxplot." — Documents_exams_mathematics_2020_2020furmaths2-exam-report.txt

The tolerance VCAA actually applies is published in its marking guides, and it is tight:

"3b | A1 | Edge intercepts. left side: > 1.930, < 1.940; right side: > 2.08, ≤ 2.090. **Line must cover the range of W_gold values from 1.92 to 2.06 and extrapolate to correct edge intercepts.**"
"3gi | A1 | Actual point is (2.02, 0.0328). **Cross MUST be on the 2.02 m line horizontally. Cross must be ABOVE 0.030 and BELOW 0.035.**"
— 2025-04_2024generalmathematics2-assessment-guide.txt
"4a | A1 | **Last three points MUST be ON TOP of data points. Points must be joined by a dashed line.**" — same file
"13a | A1 | **MUST see two edges and vertex labelled as P.**" — same file
"15c | A1 | **MUST have correct arrow.** Line can be solid or dashed. Label as "dummy" or "d"…" — same file

---

Identify / Name / List — 1 mark. Name the thing(s), nothing else.

• "a. Identify a feature of this plot that is consistent with this time series having a seasonal component." — 1 mark (Documents_exams_mathematics_2023_2023genmath2-w.txt)
• "a. Identify the explanatory variable in the least squares equation." (2025-11_2025-GeneralMaths2.txt)
• "a. Excluding any possible outliers, identify two qualitative features of the time series plot. — 2 marks"
• "c. Name the four activities that have a float time." — 1 mark
• "a. Name the explanatory variable in the equation of this least squares line." — 1 mark
• "ii. List all the points within the feasible region that result in this maximum profit." — 1 mark

The 2024/2025 reports show that VCAA polices the official vocabulary for these:

"Overall, students need to be very clear on the key knowledge and key skills contained in the VCE
Mathematics Study Design 2023–2027 for General Mathematics, and to use the formal terminology
within the course. For example, Question 4b asked for qualitative features of a time series plot.
The possible features are all clearly named within the study design."
— 2025-03_2024generalmaths2-report.txt

"There was no evidence of an outlier, of seasonality or of structural change. Some students
erroneously referred to 'an irregular fluctuation'. It should be noted that irregular fluctuations
are present in all time series plots." — 2025-03_2024generalmaths2-report.txt, Q4b

---

Estimate / Predict / Verify — the verbs VCAA does not use as bare commands

This is a genuine and useful finding, and it contradicts most textbook glossaries:

• "Verify" does not appear once as an instruction in any exam paper in the corpus. The only occurrences of the word are in the exam-room declaration ("…questions are correct, and sign your name in the space provided to verify this") and in report prose. VCAA's equivalent is Show that.
• "Estimate" is never a bare imperative. It appears only embedded: "b. Use the 68–95–99.7% rule to estimate …" — 1 mark (Documents_exams_mathematics_2018_nht_2018FM2-nht-w.txt), and "…is used to estimate the seasonal indices…" (…2018FM1-nht-w.txt).
• "Predict" is never a bare imperative either. The canonical form is "Use … to predict":
• "c. Use the equation of the least squares line to predict the evening congestion level when the morning …" — 1 mark
• "e. Use the equation of the least squares line to predict the average monthly ice cream consumption, in … " — 1 mark (Documents_exams_mathematics_2023_2023genmath2-w.txt)
• "Use the equation to predict male life expectancy for that country."
• "iii. Use the least squares line to predict when the percentage congestion level in Sydney …"
• "d. When the least squares line is used to predict the weight of a bird with a head length of … — 2 marks"
• "Determine the equation of the least squares regression line that could be used to predict the … — 2 marks"
• "Comment on" — two occurrences only (see above).

Practical consequence for study material: teach Show that, Determine, Use … to predict and Use … to show that. Do not teach "Verify" or bare "Estimate"/"Predict" as if they were live VCAA commands.

---

Rounding / accuracy instructions attached to a verb

These are not separate command words; they are compulsory riders. Every form seen in the corpus:

---

2. The "show that" rules

VCAA has written out the rules for show that more times, and at greater length, than for any other aspect of the examination. Here are the passages, verbatim, in chronological order.

2.1 The passages, year by year

2007 — Documents_exams_mathematics_further2_assessrep_07.txt:

"Several questions required students to 'show that' a dimension had a given value. These were often
poorly answered as many students were unable to clearly communicate their mathematical reasoning.
Simple statements such as 12² + 32² were frequently disconnected from the question as they were not
labelled but merely presented as a statement that may have had something to do with the question.
Such questions … require a written explanation of a result as if it was being explained to a person
who could understand the mathematics but may not be capable of answering the question themselves."

2008 — Documents_exams_mathematics_further_maths2_assessrep_08.txt (the fullest early statement):

"There were also a number of questions throughout the paper that required students to 'show that…' a
certain result is true. Each 'show that' question required students to give a clear demonstration
of a mathematical process that produces the given numerical result. Steps should have been labelled
and the calculation should then have followed. Mere substitution of the given number to demonstrate
that it was a satisfactory result was not sufficient to 'show that' it was the result.

Another common purpose of a 'show that' question is to minimise consequential errors. For example,
imagine there are three parts to a question, parts a., b. and c., and that the answer for part a. is
required for parts b. and c. If the answer to part a. is then incorrect, then the correct answers to
parts b. and c. are unlikely. A 'show that' question in part a. will give the correct outcome for
that part even if the student is not able to do the mathematics. Regardless, this given number should
be used in parts b. and c. and consequential marks will not apply in these parts, since an incorrect
student answer to part a. should not be part of subsequent working."

And, in the same report, on a failed square root:

"A further example of a poorly answered 'show that' question was Question 1b. in Geometry, where
students needed to show that a = 1.6. After an initial few lines of working that were generally quite
well done, the calculation often concluded with: a² = 159.118 ; a = 1.6. While it appears as though
a square root has been taken for the last step, there is no explicit indication as to whether the
student actually did this, since the last line was given in the question."

2013 — Documents_exams_mathematics_2013_FM2_examrep13.txt:

"The given diameter of 63.66 m needed to be the end result of a calculation in this 'show that'
question. A common unacceptable answer included an appropriate equation involving the radius, r,
but did not include an explanation of how this gave the diameter, d, as required. While this last
step might appear to be unnecessary, it is essential that connections between variables are
explained."

2015 — Documents_exams_mathematics_2015_FM2_examrep15.txt (the "don't use the given number" rule, with a worked counter-example):

"'Show that' questions give the answer to a basic and appropriate calculation and students are
required to write that calculation. The given number in a 'show that' question is sometimes needed
in a following question. With this number, students can attempt the following question, even if they
cannot complete the 'show that' question.

The given number in a 'show that' question is not to be used in a calculation; it must be the result
of a calculation. For example, in Question 2a. in Module 4: Business-related mathematics:
The sound system cost $3800 and was valued at $3150 two years later. Show that the (flat rate)
depreciation was $325 p.a.
'Show that' required students to find the quantity named (annual depreciation) and get the answer
provided ($325). The expected answer could have been obtained as (3800 − 3150)/2 = 325.
The following calculations use the 325 to show a different result than what was required and were
not acceptable for this example question:
• 3800 − 2 × 325 = 3150 — shows how to find the depreciated value after two years
• 3150 + 2 × 325 = 3800 — shows how to find the initial value"

2016 — Documents_exams_mathematics_2016_FM2_examrep16.txt repeats the 2015 wording verbatim, with the caravan depreciation figures:

"The following calculations use the 2750 to show a different result than what is required and were
not acceptable for this question: • 38 000 − 8 × 2750 = 16 000 — shows how to find the depreciated
value after eight years • 16 000 + 8 × 2750 = 38 000 — shows how to find the initial value"

2017 — Documents_exams_mathematics_2017_fm2_examrep17.txt:

"Some questions on the examination asked students to 'show that' a particular answer could be
obtained. Students must work towards the given result with all relevant steps shown. The answer
the student is asked to show may be in a subsequent part of the question."

2018 — Documents_exams_mathematics_2018_FM2_examrep18.txt: identical wording, plus "…may be relevant in a subsequent part of the question."

2019 — Documents_exams_mathematics_2019_FM2_examrep19.txt (the single richest passage in the corpus; three worked cases):

"Some questions asked students to show that a particular answer could be obtained. Students must
work towards the given result with relevant steps shown. The answer the student is asked to show may
be relevant in a subsequent part of the question. The following examples illustrate what is
required to show that a given result can be obtained.

In Core question 7a. students were asked to use recursion to show that the value of the tools
after two years, V₂ = $48 600. This means students must show each iteration by writing down the
relevant calculation:
V₁ = 60 000 × 0.9 = 54 000
V₂ = 54 000 × 0.9 = 48 600
To state V₁ = 54 000 without showing how this was obtained does not address the instruction to
'show'. Using V₂ = 60 000 × 0.9² = 48 600 does not address the use recursion instruction.

In the Recursion and financial modelling module Question 8b. students were asked to show that the
annual interest rate is 4.2% from the given recurrence relation. Stating that 1 + r/1200 = 1.0035
and r = 4.2% amounts to recognising the well-known interest rate rule and then stating the
conclusion. To show that the result is the case, some calculation must be provided:
r/1200 = 0.0035 ; r = 1200 × 0.0035 = 4.2%

In the Geometry and measurement module, Question 3ai. students were asked to show that the distance
AC is 20 m. This required more than setting up the equation attributed to Pythagoras,
AC² + 15² = 25². Writing AC² = 25² − 15² is also insufficient as the solution to this could be
positive or negative. A positive square root is the requirement for this task:
AC = √(25² − 15²) = √400 = 20

In each of these cases the result must be the conclusion of the reasoning process. Showing the
process is the basis of achieving the mark."

2020 — Documents_exams_mathematics_2020_2020furmaths2-exam-report.txt (adds the "don't start from the answer" rule in the sharpest form):

"Some questions asked students to 'show' that a particular answer could be obtained. Students must
work towards the given result with all relevant steps shown. The answer the student is asked to show
may be relevant in a subsequent part of the question. In other words, if a student starts with the
answer they have been asked to show, they will not be eligible for the mark.

In Core Question 7b. students were asked to show recursive calculations that would determine the
value of the machine after two years. This meant students needed to show each iteration by writing
down the relevant calculation:
V₁ = 120 000 − 15 000 = 105 000
V₂ = 105 000 − 15 000 = 90 000
The final answer on its own, or a statement such as V₂ = 105 000 − (2 × 15 000) = 90 000, would not
satisfy the requirements of this question.

In Geometry Question 3d. students were asked to show that the bearing of the hotel from the airport
was 104°. This required the calculation (involving tan) that resulted in the appropriate angle that
rounded to 14° or 76° and then to also show the step that leads to the bearing: either
90° + 14° = 104° or 180° − 76° = 104°.

In each case above the result that is required must be the conclusion to the process. Marks are
awarded for showing the process of obtaining the required result."

2021 — Documents_exams_mathematics_2021_2021furthermath2-report.txt:

"Questions that were not well answered often involved the instruction to 'show that' a particular
answer could be obtained. Students must work towards the given result with all relevant steps shown.
When a student started with the answer given, the mark could not be awarded. For example, in core
Question 8b., students were asked to show that the compound interest rate for a loan was 2.6% per
annum. A student who worked back from this value to find the factor of 1.001 in the recurrence
relation could not be given the mark."

And, on the same question, the CAS prohibition:

"The correct answer was (1.001 − 1) × 26 100 [equivalent]. Some students did not recognise the detail
required and wrote an equation involving r and then 'Solve'. Students must be aware that any
response including CAS syntax/notation cannot attract full marks. In the instance of 1-mark questions
(particularly 'show that' questions such as this one), the student may not be awarded the mark."

And on a 2-mark show recursive calculations item:

"V₀ = $152 431 ; V₁ = 1.00425 × 152 431 − 900 = $152 178.83 ; V₂ = 1.00425 × 152 178.83 − 900 =
$151 925.59. Many students correctly calculated the factor of 1.00425 but either added the $900 or
did not show the recursive calculations in full."

2022 — Documents_exams_mathematics_2022_2022furmaths2-report.txt:

"A question that asks to 'show that' a particular answer could be obtained was a problem for many
students. Make sure when doing a 'show that' question, any equations or values used to 'show' the
answer are copied correctly. Students should recall that they cannot simply substitute a value or use
the fact they are attempting to 'show' as part of this process.
Further to this, Core Question 8a. required students to 'show recursive calculations'. The mark can
only be obtained by showing the step-by-step approach. An answer on its own is not sufficient to
attract the marks."

Also in 2022, on a Geometry show that:

"6400 cos 27°. This question was a 'show that' question, which meant that students could not just
write an equation involving r that needed to be solved. An acceptable alternative was 6400 sin 63°."

And on a Matrices show that:

"20 × 50 − 40 × 30. This question was a 'show that' question, which required the calculation to be
clearly demonstrated."

2024 — 2025-03_2024generalmaths2-report.txt (now embedded in the self-check list):

"Students are strongly encouraged to read the question again after writing their final answer, and
consider the following: Has the question been fully answered? Does the answer match the value
provided in a 'show that' question? Is the answer reasonable in a practical context?"

2025 — 2026-01_2025-GeneralMaths2-report.txt, Q4f.i (the show that residual question, only 41% correct):

"Predicted value = 1 765 353 − 35 054 × 15.5 = 1 222 016 ; Residual = 1 250 000 − 1 222 016 = 27 984.
Students needed to show all working that led to the given residual value."

2.2 What VCAA's own marking guides say

These are the assessor-facing instructions, published verbatim in the assessment guides:

"2ci | IQR = 2.04 − 1.85 = 0.19 ; Lower fence = 1.85 − 1.5 × 0.19 = 1.565 ; Upper fence = 2.04 + 1.5 × 0.19 = 2.325 | A1 | ***SHOW THAT question — MUST see BOTH fence calculations"
— 2025-04_2024generalmathematics2-assessment-guide.txt

"7a | E₀ = 300 000 ; E₁ = 1.003 × 300 000.00 − 2159.41 = 298 740.59 ; E₂ = 1.003 × 298 740.59 − 2159.41 = 297 477.40 | A1 | ***SHOW THAT question — Show BOTH calculations and final answer is correct" — same file

"4fi | Pred. = 1 765 353 − 35 054 × 15.5 = 1 222 016 ; Resid. = 1 250 000 − 1 222 016 = 27 984 | A1 | ****SHOW THAT question" — 2025-11_2025-GeneralMaths2-assessment-guide.txt

"3f | Predicted value = 0.300 + 0.860 × 2.02 = 2.0372 ; Residual = 2.07 − 2.0372 = 0.0328 | M1A1 | MUST see the predicted value calculation. MUST see residual calculation."
— 2025-04_2024generalmathematics2-assessment-guide.txt

2.3 The distilled rules

1. Work towards the given result. Never work from it. If the given number appears anywhere on the left-hand side of your working, you have failed the question (2015, 2016, 2020, 2021, 2022).
2. Every relevant step must be visible. The last line must be the given value, arrived at, not restated. "Showing the process is the basis of achieving the mark" (2019).
3. A stated final value alone earns nothing. "The final answer on its own … would not satisfy the requirements" (2020); "An answer on its own is not sufficient to attract the marks" (2022).
4. "Use X to show that" makes method X compulsory. "Use recursion" forbids the closed-form rule: V₂ = 60 000 × 0.9² = 48 600 does not address the instruction (2019); V₂ = 105 000 − (2 × 15 000) = 90 000 does not satisfy the requirements (2020). "Show recursive calculations" requires each iteration written out, one line per year (2020, 2021, 2022).
5. Take the last step explicitly. Write the square root (AC = √400 = 20, 2019; a² = 159.118 → a = 1.6 was rejected in 2008). Convert the angle to a bearing (90° + 14° = 104°, 2020). State the named quantity, not a related one (2013, the diameter-from-radius case).
6. No CAS syntax. No "Solve". An equation plus solve(…) is not a demonstration (2021, 2022).
7. The shown value is a gift for later parts — take it. "With this number, students can attempt the following question, even if they cannot complete the 'show that' question" (2015/2016). Conversely, you must use the given value, not your own: "consequential marks will not apply in these parts, since an incorrect student answer to part a. should not be part of subsequent working" (2008).
8. Copy the given equations and values exactly. "Make sure … any equations or values used to 'show' the answer are copied correctly" (2022).
9. Round as instructed even inside a show-that. "Show that the distance … is 5 m, rounded to the nearest metre"; "Show that the correlation coefficient, r, is equal to 0.641, rounded to three significant figures."

---

3. Rounding and accuracy rules

3.1 The governing instruction, and when it changed

2006–2015 papers carried, on the Section A / Core instructions page:

"You need not give numerical answers as decimals unless instructed to do so. Alternative forms may
involve, for example, π, surds or fractions."
— e.g. Documents_exams_mathematics_2013_2013furmath2-w.txt

2016–2022 papers added a Recursion-specific default:

"Answer all questions in the spaces provided. You need not give numerical answers as decimals unless
instructed to do so. Alternative forms may include, for example, π, surds or fractions. In
'Recursion and financial modelling', all answers should be rounded to the nearest cent unless
otherwise instructed."
— Documents_exams_mathematics_2016_2016furmath2-w.txt, …2019furmath2-w.txt, …2022furmath2-w.txt

2023 onwards replaced all of that with one universal rule, printed on the Instructions page of every paper:

"In all questions where a numerical answer is required, you should only round your answer when
instructed to do so."
— Documents_exams_mathematics_2023_2023genmath2-w.txt, 2025-11_2025-GeneralMaths2.txt

VCAA quotes its own instruction back at students in both current reports:

"With regards to rounding, the instructions section at the beginning of the examination clearly
states that 'In all questions where a numerical answer is required, you should only round your
answer when instructed to do so.' Students often rounded when an exact answer should have been
given. For example, in Question 1e the percentage quoted needed to be 85.7% not 86%."
— 2025-03_2024generalmaths2-report.txt

"…Students sometimes rounded their answer when an exact answer should have been given. For example,
in this question the percentage given needed to be 83.85% not 84%."
— 2026-01_2025-GeneralMaths2-report.txt, Q3

3.2 No instruction to round ⇒ an exact answer is required

Stated in essentially the same words for six consecutive years, each time with a concrete example:

The 2014 report gives the pre-2016 logic for why an instruction is sometimes absent:

"…some questions did not include any instructions on how to round the answer. This occurred, for
example, when the correct answer to the question calculated to be a whole number or the context of
the question required a whole number. For instance, a number of elephants cannot be a decimal
number, except if the question refers to an average. Similarly, if the correct answer to a
question is a terminating decimal such as 23.475, then this question may not have any instructions
about rounding and the complete number, with three decimal places in this example, must be
written." — Documents_exams_mathematics_2014_FM2_examrep14.txt

3.3 Money: never round to 5c, 10c or the dollar unless told

This is VCAA's longest-running single complaint — raised in 2007, 2009, 2010, 2011, 2013, 2017, 2018, 2019, 2020, 2021, 2022 and 2024.

"In Business-related mathematics, many students continued to inappropriately round sums of money to
the nearest five cents, despite the instruction to give an answer correct to the nearest one cent.
In practice, Australians round sums of money to the nearest five cents only for cash sales. In
answering questions in this module, rounding instructions must be followed."
— Documents_exams_mathematics_further2_assessrep_09.txt (2009)

"Some students rounded off answers involving money to the nearest five cents despite the instruction
to give the answer correct to the nearest cent. Unless directed otherwise, all answers involving
currency should be treated as electronic payments, such as by credit card or direct debit where no
rounding to the nearest five cents occurs."
— Documents_exams_mathematics_furthermaths2_assessrep_11.txt (2011)

"The rounding of answers in dollars is a continuing issue and applies to the Core and all modules.
Some students rounded to the nearest dollar, despite instructions to round to the nearest cent.
While Australia does not use one-cent pieces in its physical currency, students must not round
currency answers to the nearest five cents unless specifically instructed to do so. Banking, money
exchange, supermarkets, petrol stations and other organisations deal with single cents, or even
fractions of a cent, electronically on a daily basis."
— Documents_exams_mathematics_2013_FM2_examrep13.txt

"In Recursion and financial modelling students are often asked to round their answer to the nearest
cent. It is not appropriate to round to the nearest five cents or 10 cents in this instance."
— Documents_exams_mathematics_2017_fm2_examrep17.txt

"…in Question 5b. of the Core section, the required answer was $5484.23 and some students
incorrectly rounded further to $5484.20 or $5484.25."
— Documents_exams_mathematics_2018_FM2_examrep18.txt

"In the Recursion and financial modelling module students sometimes further engaged from a correct
answer to an incorrect answer because they rounded to the nearest 5c or dollar. They needed to
treat the answer to the nearest cent as if it were electronic money where no further rounding
occurs. For example, in Core Question 9a. the required answer was $1704.03 and some students
incorrectly rounded further to $1704.05 or $1704."
— Documents_exams_mathematics_2019_FM2_examrep19.txt

"In Recursion and financial modelling students are often instructed to answer questions to the
nearest cent (which means two decimal places). Students sometimes unnecessarily changed from a
correct answer to an incorrect answer because they rounded to the nearest 5c, 10c or dollar. In all
questions where rounding applies, this is clearly stated in the question."
— Documents_exams_mathematics_2020_2020furmaths2-exam-report.txt

"Nearest cent" means exactly two decimal places — a trailing zero is compulsory:

"…in core Question 9b., the required answer to the nearest cent was $7039.20. A student who
answered $7039.2 could not be awarded the mark. This given answer actually represents one decimal
accuracy of any value between $7039.15 and $7039.24."
— Documents_exams_mathematics_2021_2021furthermath2-report.txt

"E₂ = … = $297 477.40. Note that an answer of $297 477.4 is not correct to the nearest cent."
— 2025-03_2024generalmaths2-report.txt, Q7a

3.4 Significant figures vs decimal places

Raised in 2016, 2017, 2018, 2019, 2020, 2021, 2024 and 2025 — almost always about the least-squares line coefficients.

"There was much evidence of confusion between decimal point rounding and significant figure
rounding. Many students rounded to two decimal places rather than two significant figures as
required. The number 0.9 has only one significant figure, whereas 0.90 has two significant
figures." — Documents_exams_mathematics_2016_FM2_examrep16.txt

"Rounding of answers to a specified level of accuracy is an important skill that students must be
able to demonstrate. When completing the equation of a least squares line, some students did not
understand the difference between decimal places rounding and significant figures rounding."
— appears essentially verbatim in …2017_fm2_examrep17.txt, …2018_FM2_examrep18.txt,
…2019_FM2_examrep19.txt, …2020furmaths2-exam-report.txt, …2021furthermath2-report.txt

"Many students rounded to three decimal places rather than three significant figures."
— Documents_exams_mathematics_2021_2021furthermath2-report.txt

"Significant figures remain a challenge and many students were not able to interpret values from
their calculator that were written using exponent notation (5.16E-3)."
— 2025-03_2024generalmaths2-report.txt, Q1d

"Significant figures remain problematic and many students did not interpret values from their
calculator that were written using exponent notation (such as 1.05E6)."
— 2026-01_2025-GeneralMaths2-report.txt, Q5a

Related: reading calculator exponent output correctly is a recurring sub-skill — "interpreting a calculator result of something such as 4.8E-34 as zero in context" (2007); "interpreting a large number shown on the calculator, such as 2.944E7" (2014).

3.5 Premature rounding of intermediate values

"Some students rounded off an answer in the middle of a calculation and then continued working with
the rounded number, thus compounding a round-off error."
— Documents_exams_mathematics_furthermaths2_assessrep_06.txt (2006)

"Rounding off should only occur at the final answer stage in a question, not part way through the
calculation. Teachers should emphasise that the continued use of a rounded answer will often
compound the rounding error… In cases where the answer to a previous question must be used, the
rounded version of the previous answer can be used without penalty. (Despite this, students who
use the unrounded version of the previous answer are not penalised as long as their mathematics is
correct.)" — Documents_exams_mathematics_further2_assessrep_07.txt (2007)

"A number (for example, length) found during working out within a question should not be rounded
off when used to determine the subsequent answer for that question."
— Documents_exams_mathematics_further2_assessrep_09.txt (2009)

"In general, when the answer for a previous question is expected to be rounded, then students should
use that rounded final answer for the consequential question. Intermediate values should not be
rounded within a question. Intermediate values should be retained and the final answer should only be
rounded as required." — Documents_exams_mathematics_2014_FM2_examrep14.txt

"Students should also take care to avoid premature rounding. They should use all the decimal places
in their calculator for intermediate steps and then only round the final answer to the required
accuracy level." — Documents_exams_mathematics_2017_fm2_examrep17.txt

"Rounding should only be done at the final step. The expected number of children should not have
been rounded to 10." — 2026-01_2025-GeneralMaths2-report.txt, Q13b.i (only 9% scored the mark)

The one exception, stated consistently: between questions, you may carry either the rounded or the unrounded previous answer (2006, 2007, 2009, 2014). Within a single question, never round.

3.6 How rounding errors are penalised — the one-mark cap and the "shown calculation" concession

2006–2007 rule:

"As in 2006, rounding errors were penalised once per paper. Answers written to fewer decimal
places than required were not considered rounding errors and scored zero. Where students engaged
with a question beyond the required answer, a penalty was applied if the extension was in error (for
example, an incorrect simplification)."
— Documents_exams_mathematics_furthermaths2_assessrep_06.txt, repeated in …further2_assessrep_07.txt

2009 — the origin must be visible:

"Rounding off continues to be an issue, especially for students who do not show working and only
write their final answer. For example, if the correct answer to a question is 7.81 and a student
writes an answer of 7.82, then the answer is wrong. If, however, the student shows working out to
indicate its origins, 7.8149 ≈ 7.82, then the rounding error origin of 7.82 is clearly evident."
— Documents_exams_mathematics_further2_assessrep_09.txt

2010 — the three-case worked illustration (the clearest statement anywhere in the corpus):

"There is a maximum of one rounding-error mark deducted per paper. For example, if a student made
four clear rounding errors in the entire examination, they could be allowed marks for three of their
incorrectly rounded answers. However, to qualify for this allowance, the source of each rounding
error must be clear. This can be shown by writing the calculation and/or the unrounded answer before
the rounded answer.

• Length = 1558.8457 ≈ 1558.9 — This answer is incorrect; however, because the source of the
rounding is apparent, this answer would qualify for a rounding-error allowance.
• Length = 1558.9 — This answer is incorrect. Because the source of this answer is not apparent,
this answer does not qualify for a rounding-error allowance.
• Length = 1558.85 ≈ 1558.9 — The answer and the source of the rounding are both incorrect and
this answer does not qualify for a rounding-error [allowance]."
— Documents_exams_mathematics_further2_assessrep_10.txt

2012 — rounding error vs absolute error vs further engagement error:

"A rounding error occurs where the student has clearly rounded a number incorrectly. For example,
if a student, when rounding off to one decimal place as required, had written 3.3496… = 3.5, then
this is considered a rounding error for which a maximum of one mark for the entire paper is
deducted. If this student had already been penalised for making a rounding error earlier in the
paper, then full marks would be given for writing 3.3496… = 3.5 in this instance. However, if the
student had only written an answer of 3.5 with no other working before it, then it is not clear if a
rounding error has been made. This is then an absolute error, which will be penalised without
limit.

A further engagement error occurs where a student has written down a correct answer but has then
continued with the question to eventually end up with an incorrect answer. For example, a question
asks for an answer correct to the nearest cent and $123.47 is the expected answer. Any student whose
final answer was $123.47 would get full marks. A student who then worked on to obtain $123.45 will
lose one mark as a further engagement error. … Students will lose a maximum of one mark for each
type of further engagement error for the entire paper. So, a student who wrote 12.49 = 12.5 metres
(expected answer is 12.49 metres) on one page and then later wrote $123.47 = $123.45 on another page
would lose only one mark for the first further engagement error and get full marks for the second.
But, if this same student then subsequently wrote [an incorrect matrix simplification] … then this
would be a different type of further engagement error and would again incur the loss of a mark.

Without written calculations, students who only provide answers do not have access to rounding
error or further engagement error consideration and allowances."
— Documents_exams_mathematics_2012_fm2_assessrep12.txt

2020, 2021, 2022 — the modern two-limb concession (identical wording all three years):

"In Core questions where a maximum of one rounding error was penalised, a second rounding error would
not have resulted in the loss of marks if either:
• a correct calculation was shown prior to the final incorrectly rounded answer
• additional correct decimal places could be seen earlier in the response or in the final answer."
— Documents_exams_mathematics_2020_2020furmaths2-exam-report.txt,
Documents_exams_mathematics_2021_2021furthermath2-report.txt,
Documents_exams_mathematics_2022_2022furmaths2-report.txt

2024/2025 assessor notation. The current marking guides tag each rounding-sensitive item: ***Rounding to 2 dp applies, ***Rounding to 3 dp applies, ***Rounding to 4 dp applies, ***One decimal place rounding applies, ***Whole number rounding applies, ***Rounding to nearest cent applies, ***Round to nearest dollar applies, ***Ignore minor rounding errors — and, for items where the concession does not apply, Designated rounding question — Accept only this answer (2025-11_2025-GeneralMaths2-assessment-guide.txt, Q1c.i and Q7c). One 2024 item shows the concession being written into the guide explicitly:

"8 | … | A1A1 | *** Rounding to nearest cent applies, **providing Finance Solver working shown and additional decimal places shown**" — 2025-04_2024generalmathematics2-assessment-guide.txt

3.7 The practical rounding checklist

1. Read the rider. If there is none, write the exact value (2017–2025).
2. Never round inside a question; round once, at the end (2006, 2007, 2009, 2014, 2017, 2025).
3. "Nearest cent" = exactly two decimal places, trailing zero included (2021, 2024).
4. Never further-round money to 5c/10c/$1 (2007→2024).
5. Decimal places ≠ significant figures. 0.9 is 1 s.f.; 0.90 is 2 s.f. (2016).
6. Always write the unrounded value before the rounded one — that single habit converts an uncapped absolute error into a capped rounding error (2009, 2010, 2012, 2020–2022).
7. Don't "further engage" past the requested answer (2012, 2018, 2019, 2020, 2024, 2025).

---

4. Answer-presentation rules

4.1 Show working on anything worth more than one mark

The instruction appears in near-identical words every year from 2016 to 2025:

"All students are encouraged to show their working out in all questions that require some
calculation. This may allow a method mark to be awarded if a question is worth more than one
mark. … Assessors only mark the student's presented work. They cannot assume that 'a student must
have done this to get that answer.' Where a formula is used, students could write the formula and
then rewrite it with the correct terms substituted in the correct positions. If a TVM function is
used, a table of their inputs, including relevant negative signs, is acceptable."
— Documents_exams_mathematics_further2_assessrep_07.txt (2007)

"Where two or more marks were available for a question, a response that showed only a single,
incorrect answer gained no marks. If the student had demonstrated an understanding of the
mathematics required by the question, a method mark may have been available."
— Documents_exams_mathematics_2016_FM2_examrep16.txt

"For questions worth more than one mark, students are strongly advised to show working. An
incorrect answer will not be awarded any marks in a two-mark question; however, often a method mark
can be awarded for an intelligible attempt. A suitable calculation or a table of input values for
the finance solver are examples by which that understanding may be shown."
— Documents_exams_mathematics_2017_fm2_examrep17.txt

"…for example, in Question 2d. of the Core section, an answer of +1.8 without any working was not
awarded any marks." — Documents_exams_mathematics_2018_FM2_examrep18.txt

"…often a method mark can be awarded for a reasonable attempt with relevant and correct working. For
example, in Core Question 11, a method mark was available for students who correctly found the
repayment value of $2400 but were unable to determine the number of further repayments required."
— Documents_exams_mathematics_2020_2020furmaths2-exam-report.txt

"…in core Question 4c., a method mark was available for a student who correctly found the
theoretical year of approximately 2054.176 but who was then unable to recognise that the answer
needed was the next Olympic year of 2056."
— Documents_exams_mathematics_2021_2021furthermath2-report.txt

"…in Matrices Question 4b., a method mark was available if the correct state matrix was identified,
even if a clear conclusion was not provided."
— Documents_exams_mathematics_2022_2022furmaths2-report.txt

"For questions worth more than one mark, students are advised to show working. An incorrect answer on
its own will not be awarded any marks. A method mark can, where appropriate, be awarded to students
who have shown the development of their answer."
— 2026-01_2025-GeneralMaths2-report.txt, Q13b.ii

Full marks for a bare correct answer are, however, guaranteed:

"Full marks were awarded for each complete and correct answer, whether or not this was accompanied
by working. For a two-mark question, if the answer was incorrect, working out may have earned a
method mark, but such working needed to clearly show a significant, logical and correct step towards
the question solution." — Documents_exams_mathematics_2014_FM2_examrep14.txt

Method marks are denoted M1 and answer marks A1 in the published marking guides (M1A1 = a two-mark part split method/answer); the 2025 guide adds H1 for a holistically judged descriptive mark (2025-11_2025-GeneralMaths2-assessment-guide.txt, 2025-04_2024generalmathematics2-assessment-guide.txt).

4.2 Consequential marks — the exact conditions

2012 — Documents_exams_mathematics_2012_fm2_assessrep12.txt:

"Consequential marks will only be awarded where
• the question is structured so that this is applicable
• a calculation is written that shows the application of the previous answer
• the answer found applies to the written calculation
• the answer is reasonable within the context of the question."

2014 — Documents_exams_mathematics_2014_FM2_examrep14.txt:

"To be eligible for consequential mark consideration:
• the use of the incorrect prior answer must not trivialise the consequential question
• there must be a calculation that shows the correct use of the incorrect prior answer
• the resulting consequential answer must match the written calculation and be rounded as required
• the consequential answer must be reasonable within the context."

2016–2019 compress this to one sentence, e.g.:

"Some questions required the further application of a previous answer. If the previous answer was
incorrect, the student may have been eligible for consequential error consideration. For this to
apply, working out needed to show a correct substitution of the previous reasonable, but incorrect,
answer into a relevant calculation. The resulting answer then needed to match that substitution and
also be a reasonable answer. For example, in Question 3b. of the Geometry and Measurement module, a
student who used Pythagoras's theorem appropriately using their incorrect answer from Question 3a.
was able to be awarded the consequential mark."
— Documents_exams_mathematics_2018_FM2_examrep18.txt

2009 adds the blunt version:

"If working out is absent or difficult to follow, then rounding error allowances, method and
consequential marks cannot be applied if the answer is incorrect."
— Documents_exams_mathematics_further2_assessrep_09.txt

2011 clarifies where each kind of mark lives:

"Method marks often apply in questions worth two marks or more, while consequential marks may apply
to some single-mark questions. To qualify for a possible consequential mark, students must show a
mathematical calculation or statement that clearly shows how a previously wrong result has been used
correctly to obtain a consequently wrong answer."
— Documents_exams_mathematics_furthermaths2_assessrep_11.txt

4.3 One-mark questions need no sentence

"Many questions on the examination were worth one mark only, and with these questions the mark was
awarded for a correct answer. Generally there was no need to put the answer into a sentence. …
Many students copied a correct answer incorrectly from calculations into a concluding sentence."
— Documents_exams_mathematics_2017_fm2_examrep17.txt

"…in Question 2e. of the Core the required answer was 85%, but students were not required to
describe the meaning of this percentage." — Documents_exams_mathematics_2018_FM2_examrep18.txt

"Each year, several students write all of their answers within explanatory sentences. This not only
takes up time unnecessarily but often takes up space that has been allowed for a possible calculation
or other relevant working to be shown. Except where an explanation is explicitly required by the
question (for example, when the question states 'show that'), a clearly identified answer is usually
sufficient." — Documents_exams_mathematics_further2_assessrep_07.txt (2007)

"Students are advised not to write sentences when a numerical answer is asked for. For example, in
Question 1a.ii an answer of 50% was sufficient to attract the mark. There was no need to write '50%
of the M_gold values are greater than 2.25 m'. Similarly, if a variable is defined (such as
W_gold), then there is no need to refer to the variable as 'the gold medal-winning height for the
women's high jump'." — 2025-03_2024generalmaths2-report.txt

4.4 Keep descriptive answers brief; point form is acceptable; extra detail can destroy a correct answer

"When descriptive answers are required to a question, students are advised to keep answers brief.
A response in point form is also acceptable."
— Documents_exams_mathematics_2019_FM2_examrep19.txt (and near-identically 2020, 2021, 2022)

"For questions requiring written responses (rather than calculations or numerical values), it is
acceptable to provide written responses in point form. There are many examples of suitable responses
in past exams that students can use as exemplars." — 2025-03_2024generalmaths2-report.txt

The rule about extra detail — VCAA's own worked examples of students losing a mark for adding more:

1. 2017 — the general statement:

   "When descriptive answers are required to a question, brevity is encouraged in the response. Some
   students correctly answered a question and then added extra irrelevant information. However, this
   extra information cannot be awarded extra marks and, if it is incorrect, can lead to marks not
   being awarded." — Documents_exams_mathematics_2017_fm2_examrep17.txt

2. 2019, Core Q3 — the canonical example:

   "For example, in Core Question 3 students were asked to refer to the values of an appropriate
   statistic (the median being an appropriate choice) in their response. Many students went further
   and compromised their answer by referring to the minimum and maximum values as well."
   and, in the per-question note: "Some students went on to comment on the minimums and maximums;
   this additional information compromised an otherwise correct answer. Comments about the shape of
   the boxplots were also not appropriate."
   — Documents_exams_mathematics_2019_FM2_examrep19.txt

3. 2019, Networks Q3c — a one-mark answer destroyed by one extra number:

   "…in Networks Question 3c. the required answer was simply activity [X]. Some responses went on
   to erroneously give the float time of this activity and therefore could not be awarded the mark."
   — Documents_exams_mathematics_2019_FM2_examrep19.txt

4. 2020, Core Q4c — the same failure, spelled out:

   "…in Core Question 4c. the required answer was simply 29%. Some students went on to erroneously
   describe this as the percentage of variation in weight that could be described by the variation in
   body density. The mark could not be awarded due to this incorrect further engagement."
   and: "Some students gave additional information that negated an otherwise correct answer.";
   "Some students went on to also quote other statistics, such as the maximums or ranges, and this
   additional information devalued an otherwise correct answer."
   — Documents_exams_mathematics_2020_2020furmaths2-exam-report.txt

5. 2024, Networks Q15b — the clearest statement of the rule, showing both outcomes:

   "Students need to be careful that if they provide additional information in their response, it
   must be correct. For example, in Question 15b only the activity E needed to be written to
   attract the mark. If the response also included the delayed time correctly as 3 hours, then the
   mark was still awarded. However, where a student further engaged to provide an incorrect delay time
   in their response, the mark was not awarded."
   — 2025-03_2024generalmaths2-report.txt

6. 2025, Networks Q18c — the same trap, one year later, and the assessor instruction that enforces it:

   "Students need to be careful that if they provide additional information in their response, it must
   be correct. Only the activity F needed to be written to obtain the mark."
   — 2026-01_2025-GeneralMaths2-report.txt
   "18c | Activity: B C E F G / Float: 5 1 5 6 1 | F | A1 | **Reject, as further engagement, if incorrect float time given for F**" — 2025-11_2025-GeneralMaths2-assessment-guide.txt

The rule, distilled: extra detail is tolerated only if it is correct; it is never rewarded; and if it is wrong, or if it contradicts the required answer, the correct part of your answer dies with it. The assessment guide makes this a general marking policy:

"Responses 'off task' or contradictory — A response that does not address the subject of the
question cannot be awarded any marks. If contradictory responses are given (i.e.: the response
conflicts with earlier comments or working out) full marks cannot be awarded."
— 2025-11_2025-GeneralMaths2-assessment-guide.txt

And where a question asks for a fixed number of items:

"Specified Number of Examples/Reasons — Where a student provides more than the required number,
the assessor should only assess the required number of responses. These should be assessed in the
order in which they appear." — same file

4.5 Legibility, scanning, pen colour

Exam 2 scripts have been scanned and marked on screen since at least 2016, and VCAA says so every year.

"Scanned images are used for assessing and students should ensure their answers can be clearly
read. Students were asked to write in blue or black pen. Students are urged to take greater care
with the presentation of their responses."
— Documents_exams_mathematics_2017_fm2_examrep17.txt (also 2016, 2019)

"Scanned images are used for assessing and students should ensure their answers can be read clearly.
It is important that students take care with the presentation of their responses so that they are
legible and, in particular, that numbers and decimal points are properly shown."
— Documents_exams_mathematics_2020_2020furmaths2-exam-report.txt

"…They should ensure their responses are written in a dark colour (e.g. black non-erasable pen or 2B
pencil) so they are readable when scanned."
— Documents_exams_mathematics_2021_2021furthermath2-report.txt, and near-identically 2022 and 2024.

"Some assessors reported that legibility of written responses seemed to be more of an issue this
year. Figures that had been written over were sometimes indecipherable, and poorly constructed 2s
and 7s, 4s and 9s and 0s and 6s could easily have been misread. Where an answer was not clear, marks
could not be awarded." — Documents_exams_mathematics_further2_assessrep_07.txt (2007)

Assessor policy on unreadable work:

"Make every effort to read the student's work. If unable to read the response, send the script for
review, selecting the 'illegible response' review category."
— 2025-11_2025-GeneralMaths2-assessment-guide.txt

4.6 Use a ruler

Raised in 2007, 2009, 2010, 2011, 2017, 2018, 2019, 2020, 2021, 2022 and 2024.

"Students are expected to bring a ruler into the examination to rule straight lines when necessary.
Quite a few students drew a line on a graph without using a ruler and the accuracy of the response
was insufficient for the question." — Documents_exams_mathematics_further2_assessrep_09.txt (2009)

"Most students used a straight edge to draw lines on graphs. Freehand lines were often
insufficiently accurate to gain marks or to be useful for reading values."
— Documents_exams_mathematics_further2_assessrep_10.txt (2010)

"Students should bring a ruler to accurately draw straight lines. This is often required in the Data
analysis section." — 2025-03_2024generalmaths2-report.txt

Rulers are explicitly on VCAA's approved-materials list: "basic stationery requirements (pens, pencils, highlighters, erasers, sharpeners and rulers)" — 2025-04_genmath-specs-w.txt.

4.7 Transcription errors

"Some students inadvertently transpose digits when transferring data from the question or their own
working, resulting in an incorrect answer. Where this is the case, marks may still be available to
students if they have shown their working out."
— Documents_exams_mathematics_2013_FM2_examrep13.txt

"Copying/transcribing numbers directly from technology output, or from elsewhere, was often not done
accurately and prevented some students from receiving full marks. Students need to ensure that their
responses are carefully written, that decimal points are clear and that each number is written
properly to avoid misinterpretation."
— Documents_exams_mathematics_2020_2020furmaths2-exam-report.txt

"Transcription errors can be costly. Students need to take great care when transferring their
answers from the calculator. It was not uncommon to see answers with a 0 or 1 missing or digits
interchanged." — Documents_exams_mathematics_2021_2021furthermath2-report.txt

"Transcription errors were often seen; students need to take greater care when transferring their
answers from the calculator. An extra zero was often seen in answers to the recursion and financial
modelling questions." — Documents_exams_mathematics_2022_2022furmaths2-report.txt

"Transcription errors were often seen, and students should take care copying from one line to the
next or from their CAS." — 2025-03_2024generalmaths2-report.txt

4.8 Answering in context

"In several questions throughout the paper, students were expected to explain their interpretation of
information. Many students used this as an opportunity to express their opinions rather than make
observations based on the mathematics. Students are expected to show understanding of explanations
or assertions; this may be demonstrated by mathematics presented in a logical and clear manner or by
directly relating a mathematical definition to data stated in the question."
— Documents_exams_mathematics_further_maths2_assessrep_08.txt (2008)

"Students should answer data analysis questions by referring to the statistics provided or obtained.
Personal opinion or interpretation of socioeconomic issues is generally not relevant to data
analysis." — Documents_exams_mathematics_2015_FM2_examrep15.txt

"Students should be prepared to explain their reasoning when answering questions. Such explanations
should be concise and relate clearly to the context of the question."
— Documents_exams_mathematics_furthermaths2_assessrep_11.txt (2011)

"Questions of this type require reasoning rather than comments about which season each month falls
in." — Documents_exams_mathematics_2019_FM2_examrep19.txt

"Students should read the question carefully, and accept as correct what is specified in the
question. For example, in Question 3h some students claimed the prediction would be reliable,
despite the question indicating otherwise." — 2025-03_2024generalmaths2-report.txt

4.9 Crossing out

"Some students had crossed out a solution without replacing it. In several such cases, the crossed out
work was partly correct. However, deleted work cannot be assessed at all."
— Documents_exams_mathematics_furthermaths2_assessrep_06.txt (2006)

"Work that is crossed out will not be assessed unless there is written notation by the student that
indicates the crossing out should be ignored."
— Documents_exams_mathematics_furthermaths2_assessrep_11.txt (2011)

"Any work or answer that had been crossed out was not assessed, unless the crossing out was negated
by a written instruction such as 'Please ignore the crossing out' or 'Please mark this after all'."
— Documents_exams_mathematics_2014_FM2_examrep14.txt

Current assessor policy:

"Crossing Out — If a student response has been crossed out, the part crossed out should not be
considered. If the entire response is crossed out, this is awarded zero ('0')."
— 2025-11_2025-GeneralMaths2-assessment-guide.txt

4.10 Other published marking policies worth knowing (2024–2025 assessment guides)

From 2025-11_2025-GeneralMaths2-assessment-guide.txt and 2025-04_2024generalmathematics2-assessment-guide.txt:

• Spelling: "Unless otherwise instructed in the Assessment Guide …, incorrect spelling should not affect the scoring of a student's response."
• Two attempts shown: full marks if "Two sets of working out are shown, both attempts are correct, and the answer is correct."
• Half marks: "Half marks must not be awarded for a response or carried over to subsequent questions."
• Language: "Unless otherwise stated, responses in a language other than English should be scored zero (0)." (Exam papers say "All written responses must be in English" / "Write your responses in English.")
• Not attempted vs zero: "'Not Attempted'… may include: Blank responses; 'I don't know'; Repeating the question, task, source material, or any other text directly from the examination; A response with no relevance to the question."
• Answer written in the wrong place is escalated as an "Incorrect writing task", not automatically zeroed.
• Mark codes: A1 answer mark, M1 method mark, H1 holistic mark, A1A1/M1A1 for two-mark parts.

---

5. Exam structure and how questions are built

5.1 Exam 1 (multiple choice)

5.1.1 The instruction block — identical for twenty years

Every Exam 1 paper in the corpus, 2006 to 2026, carries the same five (later six) bullets:

"Answer all questions in pencil on the answer sheet provided for multiple-choice questions.
Choose the response that is correct for the question.
A correct answer scores 1, an incorrect answer scores 0.
Marks will not be deducted for incorrect answers.
No marks will be given if more than one answer is completed for any question."
— Documents_exams_mathematics_2006furmath1-w.txt

From 2016 the semicolon replaces the comma ("scores 1; an incorrect answer scores 0") and a sixth bullet is added: "Unless otherwise indicated, the diagrams in this book are not drawn to scale." (Documents_exams_mathematics_2016_2016furmath1-w.txt).

A correction worth making explicit: VCAA never writes "or that best answers the question". A search of all 128 corpus files returns zero hits for "best answers". The instruction is invariantly "Choose the response that is correct for the question" — VCAA asserts that exactly one option is correct, not merely best. There is no negative marking and no penalty for guessing, so every question should be answered.

The 2025 answer sheet (2025-10_MCAS_GeneralMaths1.txt) adds the mechanical rules:

"Use a pencil for all entries. • If you make a mistake, erase the incorrect answer – do not
cross it out. • Marks will not be deducted for incorrect answers. • No mark will be given if more
than one answer is completed for any question. / For each question, shade the box that indicates your
answer."

5.1.2 Structure by era

Sources: the "Structure of book" grids in Documents_exams_mathematics_2006furmath1-w.txt (13 / 13 / 13; 54 / 27 / 6 modules / 3 / 27; Total 40), Documents_exams_mathematics_2016_2016furmath1-w.txt (24 / 24 / 24; 32 / 16 / 4 / 2 / 16; Total 40), Documents_exams_mathematics_2020_2020furmath1-w.txt (30 / 30 / 30; 40 / 10 / 4 / 1 / 10; Total 40), Documents_exams_mathematics_2023_2023genmath1-w.txt (40 / 40 / Total 40), and 2025-11_2025-GeneralMaths1_0.txt ("40 questions (40 marks)").

The five-option → four-option change happened at the November 2024 main sitting. Evidence: the 2023 paper has 40 E. option lines and its report has a % E column; the 2024 main report (2025-03_2024generalmaths1-report.txt) has columns % A | % B | % C | % D | % N/A only, and the 40-item key in Documents_exams_mathematics_2024_2024genmaths1-markguideresponses.txt contains no E; the 2025 paper has zero E. lines and its answer sheet shows boxes A B C D only. The last five-option paper in the corpus is the May 2024 NHT sitting (Documents_exams_mathematics_2024_NHT_2024GM1-nht-w.txt, whose report key still contains E). This matters for any cross-year difficulty comparison: the guessing baseline moves from 20% to 25%.

Section B mechanics in the module eras — the students had to declare their modules:

"Show the modules you are answering by shading the matching boxes on your multiple-choice answer
sheet and writing the name of the module in the box provided."
— Documents_exams_mathematics_2013_2013furmath1-w.txt (the "and writing the name of the module"
clause first appears in 2008; 2006–2007 end at "…answer sheet.")

5.1.3 Per-topic question-number map, Exam 1

2023+ General Mathematics. Stated in identical words in the 2023, 2024 and 2025 reports (2025-07_2023generalmaths1-report.txt, 2025-03_2024generalmaths1-report.txt, 2026-02_2025-GeneralMaths1-report.txt):

"The examination comprised 40 multiple-choice questions covering all areas of study.
Questions 1–16: Data analysis / Questions 17–24: Recursion and financial modelling /
Questions 25–32: Matrices / Questions 33–40: Networks and decision mathematics"

This matches the specification exactly (2025-04_genmath-specs-w.txt): "16 will be allocated to data analysis, 8 … recursion and financial modelling, 8 … matrices, and 8 … networks and decision mathematics." The in-paper topic banners in the 2023 and 2025 papers confirm the boundaries at Q17, Q25 and Q33.

2016–2022 Further Mathematics.

"In 2019, the Core section comprised two components: Data analysis (Questions 1–16) and
Recursion and financial modelling (Questions 17–24)."
— Documents_exams_mathematics_2019_FM1_examrep19.txt (same sentence, year changed, in the 2016,
2017, 2018, 2021 and 2022 reports)

Critical: module questions are numbered 1 to 8 within each module, not 25–32. The module order (Matrices → Networks → Geometry and measurement → Graphs and relations) is stable 2016–2022.

2020 (adjusted COVID structure).

"In 2020, the Core section comprised two components: Data analysis (Questions 1–20) and
Recursion and financial modelling (Questions 21–30)."
— Documents_exams_mathematics_2020_2020furmaths1-exam-report.txt
"For 2020 only, students were required to complete questions from one module." — same file Each module ran Questions 1–10 for 10 marks.

2006–2015 Further Mathematics.

Confirmed by locating SECTION A → Question 1 → Question 13 → SECTION B in the 2007, 2010, 2013 and 2015 papers, and by the six 9-row module tables in every Era-A report. Module order is identical in every year 2006–2015.

Topic lineage across the three eras:

5.1.4 The house stem forms

Counting across the corpus, VCAA's Exam 1 stems come in four shapes:

1. "… is closest to" — 404 occurrences, by far the dominant form. It exists to make rounding and small arithmetic slips non-fatal and to allow a distractor lattice at several precisions. e.g. "The deseasonalised rainfall for May 2019 is closest to"; "The shortest distance along the meridian between Cape Town and Stockholm, in kilometres, is closest to".
2. "What is …?" / "How many …?" — 272 and 246 occurrences; direct single-value questions.
3. "Which of the following …" — 8 occurrences, always a statement-evaluation item ("Which of the following statements is not true?").
4. "How many of these statements are true?" with options A. 0 … E. 4 — an entirely off-by-one distractor set by construction. Used in 2021, 2022, 2023 and 2025.

5.1.5 How distractors are built — the ranked patterns

The Exam 1 reports name, per question, the percentage choosing each option and frequently explain why a wrong option attracted students. Synthesising every such explanation across 2006–2025, the recurring distractor-design patterns, most frequent first:

VCAA reuses distractor designs across years, sometimes with copy-pasted report prose. Documented repeats: the +√r² sign trap (2018 Core Q9 and 2019 Core Q10, word-for-word identical comment); the truncated-axis intercept (2017 and 2018 Core Q8); the boxplot-with-outliers five-number summary (2015 Core Q6 and 2017 Core Q2); the missing base of a composite solid (2008 Module 2 Q6 and 2019 Module 3 Q3); the ratio inequality (2015, 2016, 2017, 2019, 2020); the seasonal-index percentage change (every year 2011–2025 that has commentary); time-zone/longitude (2016, 2018, 2019, 2022 Module 3).

Items where a distractor outdrew the key (evidence of distractor strength — computed from the report tables for the years that publish an explicit key column):

Roughly 5–6 such inversions per year in the five-option era, falling to 1 in 2025. The item types that invert most often are planarity/face counting, count-the-true-statements, scale factors, transition matrices, and critical-path/precedence tables.

5.1.6 Exam 1 difficulty by topic

No Exam 1 report in the corpus ever states a mean total out of 40. The 2006–2009 reports say only that "the average marks for the Core – Data analysis and each of the modules [were] close to, or exceeding, 50 per cent" (Documents_exams_mathematics_furthermaths1_assessrep_06.txt and successors). Mean facility computed from the reports' own published key percentages, for the years that print an explicit Correct answer column (2021 onwards):

(2024 and 2025 are four-option papers, so the +8-point jump in 2025 is not evidence of rising ability.)

Recursion and financial modelling is structurally the hardest Exam 1 block — lowest or second-lowest in every era-C year, and named as the problem area in VCAA's own words repeatedly:

"Students did not score as highly on questions involving the use of recurrence relations or the
finance solver, or where questions required two or more steps."
— 2025-07_2023generalmaths1-report.txt
"The most significant student weakness was in the incorrect use of a financial solver to solve an
annuity problem presented in non-routine form (Question 24)."
— Documents_exams_mathematics_2016_FM1_examrep16.txt

The general pattern VCAA states every year is the same:

"Students generally answered the questions in this section well, particularly questions that required
standard, routine calculations (Questions 1, 2, 3 and 15). Questions that required the use or
analysis of graphical or tabular information were answered less well (Questions 8, 9, 13 and 16)."
— Documents_exams_mathematics_2018_fm1_examrep18.txt
"…students seemed to struggle with questions involving elementary application of the key skills and
key knowledge from the study design. Routine practice of these skills is important."
— Documents_exams_mathematics_2017_fm1_examrep17.txt

Module selection in the Further era was heavily skewed toward Matrices: 2017/2018 uptake was Matrices 89%, Networks 51/50%, Geometry and measurement 29%, Graphs and relations 31/32% (Documents_exams_mathematics_2017_fm1_examrep17.txt, …2018_fm1_examrep18.txt).

---

5.2 Exam 2 (written)

5.2.1 Front matter and totals by era

15 minutes reading + 1 hour 30 minutes writing, and 60 marks, are invariant across all twenty years. Only the clock slot moved (afternoon 2006–2012, morning 2013–2020, afternoon 2021–).

The era-C weights are locked by specification (2025-04_genmath-specs-w.txt):

"The examination will consist of short-answer and extended-answer questions, including multi-stage
questions. 24 marks will be allocated to data analysis, 12 marks … recursion and financial
modelling, 12 marks … matrices, and 12 marks … networks and decision mathematics. All questions
will be compulsory. The total marks for the examination will be 60."

5.2.2 The instructions page, and when the rounding rule changed

2006–2015 (Documents_exams_mathematics_2006furmath2-w.txt, …2013furmath2-w.txt):

"This examination consists of a core and six modules. Students should answer all questions in the
core and then select three modules and answer all questions within the modules selected.
You need not give numerical answers as decimals unless instructed to do so. Alternative forms may
involve, for example, π, surds or fractions.
Diagrams are not to scale unless specified otherwise." (the diagram line first appears in 2008) Plus, on the cover: "Detach the formula sheet from the centre of this book during reading time."

2016–2022 (Documents_exams_mathematics_2019_2019furmath2-w.txt):

"Instructions for Section A — Answer all questions in the spaces provided. You need not give
numerical answers as decimals unless instructed to do so. Alternative forms may include, for example,
π, surds or fractions. In 'Recursion and financial modelling', all answers should be rounded to the
nearest cent unless otherwise instructed. Unless otherwise indicated, the diagrams in this book are
not drawn to scale."
"Instructions for Section B — Select two modules and answer all questions within the selected
modules. …" (2020: "Select one module and answer all questions within the selected module.") The "nearest cent" line matches exactly the 2016–2022 Exam 2 papers and nothing else in the corpus.

2023 onwards (Documents_exams_mathematics_2023_2023genmath2-w.txt, 2025-11_2025-GeneralMaths2.txt):

"Answer all questions in the spaces provided. [2025 adds: Write your responses in English.]
In all questions where a numerical answer is required, you should only round your answer when
instructed to do so.
Unless otherwise indicated, the diagrams in this book are not drawn to scale."

First appearance of that wording: the March 2023 sample paper (Documents_exams_mathematics_genmath2-sample-w.txt), then the 2023 main paper. It appears in no paper from 2006 to 2022, and it replaces the era-B "nearest cent" default, which vanishes at the same moment. This is the single most consequential instruction change in the twenty-year span, and VCAA has had to quote it back at students in both subsequent reports (see §3.1).

Materials, 2016 onwards: "pens, pencils, highlighters, erasers, sharpeners, rulers, one bound reference, one approved technology (calculator or software) and, if desired, one scientific calculator. Calculator memory DOES NOT need to be cleared." Students are not permitted "blank sheets of paper and/or correction fluid/tape". 2016–2019 papers also carry "Students are to write in blue or black pen", dropped from 2020.

5.2.3 Per-topic question-number map, Exam 2

2023+ General Mathematics — numbering runs continuously 1..N across the whole paper. There are no sections, no module labels, and no per-topic restart. Confirmed in all six era-C papers in the corpus.

2023 (Documents_exams_mathematics_2023_2023genmath2-w.txt) — 14 questions

2024 (from 2025-03_2024generalmaths2-report.txt + 2025-04_2024generalmathematics2-assessment-guide.txt; the paper file itself is an empty stub) — 15 questions

2025 (2025-11_2025-GeneralMaths2.txt) — 18 questions

Invariants of the era-C design across all six papers examined (2023, 2024, 2025, the March 2023 sample, 2024 NHT, 2026 NHT): four topic blocks, always in the order Data analysis → Recursion and financial modelling → Matrices → Networks and decision mathematics; always 24/12/12/12; question count varies 14–18; Data analysis carries 3–6 questions and every other block 3–4; and the paper always ends with a project-network / critical-path question worth 4–5 marks.

2016–2022 Further. Section A is numbered continuously; each Section B module restarts at 1.

Data analysis always comes first; Recursion always occupies the final 3–5 questions of Section A.

Each Section B module is 12 marks (15 in 2020), numbered Q1..Q3/Q4/Q5 within the module:

VCAA describes the 2020 variant in its own words:

"The examination was based on the VCE Mathematics Adjusted Study Design for 2020 only. Students
were required to complete: the compulsory Core section of Data Analysis (worth 30 marks) / the
compulsory Core section of Recursion and financial modelling (worth 15 marks) / one selected
module (worth 15 marks)."
— Documents_exams_mathematics_2020_2020furmaths2-exam-report.txt

2006–2015. Core 15 marks, then three chosen modules of 15 marks each; each block ends with the printed line "Total 15 marks". Core question count drifts 3 → 3 → 4 → 5 while the Core mark total stays at 15. Two era-A oddities worth knowing: 2013 Module 6 Matrices Question 2 is worth 12 marks (nine parts) — the largest single question anywhere in the corpus; and 2006–2012 papers use composite mark notation (1 + 1 = 2 marks, 2 + 1 = 3 marks, and in 2010 even 1 + 1 + 1 + 2 + 2 = 7 marks), which is retired by 2013 in favour of per-part margin marks under a Question N (M marks) header.

5.2.4 How a question scenario is built

The architecture is identical in all three eras: a prose context block naming the variables → a data artefact (table, scatterplot, stem plot, network, matrix) → parts that escalate. The escalation ladder, in order:

1. Read off / classify. One value or one word, straight from the artefact.
2. One-step computation. Mean, median, range, a single substitution.
3. Interpret in context. Slope, intercept, coefficient of determination, a matrix element.
4. Chain two or more steps — usually the 2-mark part.
5. Extend the model to a new scenario — a changed condition, an added vertex, a budget constraint.

Worked example — 2023 Question 1, Data analysis, 9 marks (Documents_exams_mathematics_2023_2023genmath2-w.txt). Context: oyster sizing from electronic images, five named variables, a 15-row table.

Shape 1,1,1,1,1,2,2 — five one-step parts, then both 2-mark parts at the end, the last abandoning the dataset entirely for an inverse normal problem.

Worked example — 2025 Question 4, Data analysis, 8 marks, with a "show that" (2025-11_2025-GeneralMaths2.txt). Context: sale price vs distance from the city centre, with the least squares equation and r² given.

This is the canonical VCAA show that placement: it scaffolds the next part rather than gating it.

Worked example — 2016 Module 1 Matrices Question 3, 7 marks — showing the average collapsing as the parts escalate (Documents_exams_mathematics_2016_2016furmath2-w.txt / …2016_FM2_examrep16.txt): a (1 mk, avg 0.9) → b (1 mk, 0.4) → c (1 mk, 0.5) → d (1 mk, 0.2) → e.i (1 mk, 0.2) → e.ii (2 mk, 1.0). Part e introduces an entirely new model (Sₙ₊₁ = TSₙ + B) and asks students to explain the −80 element in context.

Narrative threading. Era-C papers routinely run one persona or setting across an entire topic block — "Arthur" across the three 2023 Recursion questions (a motorcycle loan, an annuity, a holiday loan); "the circus" across the four 2023 Matrices questions; "Frances's home gym" across 2025 Q18. This means a student who misreads the shared context can lose several questions at once.

5.2.5 Mark-allocation patterns

There is exactly one genuine 3-mark part in the entire twenty-year corpus: 2016 Section A Core Q3b.i (Documents_exams_mathematics_2016_2016furmath2-w.txt) — "Determine the equation of the least squares line … Round your answer to two significant figures. — 3 marks", average 1.6. Every other "3 marks" string in the corpus is a composite annotation (1 + 1 + 1 = 3 marks, 2 + 1 = 3 marks) denoting two or three separate parts. From 2017 onwards the maximum part size is 2 marks, without exception. VCAA's Chief Assessor confirms this for the current design (2025-04_General_Maths_Examination_2.txt):

"Looking now at the marking principles for the General Mathematics Exam 2. Questions in 2024 were
all worth one or two marks, and full marks were awarded for a clear correct answer that addressed
all the requirements of a question regardless of working out shown."

Rule 1 — 2-mark parts cluster in Data analysis. In 2023 all four are in Data analysis; in 2024, three of four; in 2017, 2018 and 2021, Data analysis holds five of the paper's six to twelve. In 2018, 2019 and 2020 three of four modules carry zero 2-mark parts.

Rule 2 — within a question, the 2-mark part is almost always last. 2023 Q1 [1,1,1,1,1,2,2]; Q2 [1,1,1,2]; Q4 [1,1,2]. 2016 Core Q1 [1,1,1,1,1,2]. 2018 Core Q3 [1,1,1,1,1,2,2]. 2020 Core Q2/Q3/Q6 all [1,1,1,2]. Exceptions exist (2019 Core Q6, 2021 Q5, 2025 Q5 are all [2,1]) but are a minority.

Rule 3 — the standalone whole-question 2-marker. A question with no lettered parts, worth 2 marks, placed as a section's last item, is a recurring device: 2019 Core Q3 ("Explain why the information given above supports the contention that minimum daily temperature is associated with the month. Refer to the values of an appropriate statistic in your response." — 2 marks); 2020 Core Q11; 2025 Q3, Q10 and Q16.

5.2.6 Where the hardest question sits

Difficulty escalates monotonically within every section. Mean facility (average mark ÷ maximum) by first / middle / last third of each section, computed from the reports' own mark-distribution tables:

The mean ratio falls from the first third to the last third in 45 of the 46 section-years measured. The single exception in the whole corpus is the 2019 Geometry and measurement module.

The lowest-scoring part sits in the last third of its section in 26 of 30 section-years for 2016–2020, and is the literal final part of its section in 16 of those 30. 2018 and 2022 are the cleanest years: five of six sections in 2018 and four of six in 2022 have their worst part as the section's last part.

Lowest-average part by section and year (position given as index within the section's part sequence):

The single most reliable prediction in this document: the last question of an Exam 2 paper is a project-network question, its last part is a crashing / budget-optimisation task, and it is almost always the worst-performing item on the paper. 2019 M4 Q3e avg 0.1; 2020 M2 Q5d avg 0.1; 2022 M2 Q3d avg 0.02; 2024 Q15e avg 0.1 (93% zero); 2025 Q18d avg 0.2 (79% zero).

5.2.7 VCAA's own statements about escalation

Stated explicitly, in near-identical words, every year from 2006 to 2017:

"Students performed well on the first questions for every module; however … As they progressed
through each module, the questions became more complex."
— Documents_exams_mathematics_furthermaths2_assessrep_06.txt (2006) and
Documents_exams_mathematics_further2_assessrep_07.txt (2007)

"In general, students were able to answer the first questions in each module very well but found the
subsequent more complex questions challenging."
— Documents_exams_mathematics_further2_assessrep_09.txt (2009); the same sentence, lightly reworded,
appears in …further2_assessrep_10.txt (2010), …furthermaths2_assessrep_11.txt (2011) and
…2012_fm2_assessrep12.txt (2012)

"Examination 2 is designed to present students with straightforward questions at the commencement
of each module, where the mathematics required is reasonably evident. Questions then become more
challenging towards the end of each module."
— Documents_exams_mathematics_2013_FM2_examrep13.txt — the clearest statement of design intent
anywhere in the corpus

"The 2014 Further Maths examination 2 presented opportunities for students of all abilities to start
well with the Core and each module. Questions then became more challenging as students progressed
through each module." — Documents_exams_mathematics_2014_FM2_examrep14.txt
(the same sentence appears in …2015_FM2_examrep15.txt)

"Most students were able to start Data analysis and Financial modelling in the Core section and
their two chosen modules well. Throughout each section, questions became progressively more
challenging." — Documents_exams_mathematics_2016_FM2_examrep16.txt

"Throughout each section, questions progressively became more challenging."
— Documents_exams_mathematics_2017_fm2_examrep17.txt

From 2018 the boilerplate sentence disappears, but the design does not — the escalation gradient in 2018 is the sharpest in the corpus. What remains is per-question difficulty language attached, overwhelmingly, to end-of-section parts:

"Only a small proportion of students answered the question entirely correctly."
— 2018 Core Data analysis Q3e., the section's final part
"Many students did not attempt this question." — 2019 Module 1 Q3b.ii, the module's final part
"Very few students scored full marks." — 2020 Module 4 Q4d., the final part of the final module
"This was a challenging final question for the majority of students." — 2022 Core Recursion Q8d.
"A challenging final question that was often not attempted or was incorrectly answered."
— 2022 Module 3 Q3b.
"Only a minority of students were able to gain this final mark." — 2022 Module 4 Q3d., and the
last sentence of the entire 2022 report
"Only a small percentage of students were successful on this final question. Those who were
successful tended to use a very systematic trial approach."
— 2025-04_General_Maths_Examination_2.txt, on 2024 Q15e, the final part of the paper

In 2021 the escalation shows up in the placement of the stock phrase "This question was not answered well", which occurs 14 times and lands almost entirely on the back half of each section, against 21 occurrences of "answered well" clustered at positions 1–6 (Documents_exams_mathematics_2021_2021furthermath2-report.txt).

5.2.8 What this means for a student

• Marks 1 to about 40 of the 60 are reachable by routine technique. Every section opens with read-off and one-step items. Finish all four openings before attacking any ending.
• The last part of each of the four sections is where the paper is won or lost — and in Matrices and Networks those parts routinely score below 0.25 of their maximum.
• A "show that" is a gift, not a barrier. Use the given number in the following part even if you cannot produce it.
• Later parts depend on earlier answers, so a visible calculation protects you twice: once for a method mark, once for consequential credit downstream (§4.2).

---

6. Reading time and technology

6.1 The 15 minutes reading time

Both examinations have 15 minutes reading time and 1 hour 30 minutes writing time (2025-04_genmath-specs-w.txt; confirmed on every paper front cover 2006–2026, e.g. "Reading time is 15 minutes: 2.00 pm to 2.15 pm / Writing time is 1 hour 30 minutes: 2.15 pm to 3.45 pm" — 2025-11_2025-GeneralMaths2.txt).

What VCAA tells students to do with it, year by year:

"Students are advised to ensure that they use their reading time effectively, to carefully read all
questions they will attempt and think about what each question is asking. Careful reading can also
help prevent students from overlooking questions or parts of questions."
— Documents_exams_mathematics_further2_assessrep_07.txt (2007)

"Failure to read a question completely and/or carefully was again evident on many papers. Students
should be instructed on the effective use of reading time."
— Documents_exams_mathematics_further2_assessrep_09.txt (2009)

"Students are advised to use the reading time wisely and to read each question carefully.
Underlining or highlighting important information can also be a useful strategy."
— Documents_exams_mathematics_further2_assessrep_10.txt (2010)
(2008 adds: "Highlighting or underlining relevant data within questions throughout the year may help
students to identify important information that must be extracted, used or answered.")

"Students are urged to use reading time to identify and comprehend all the questions they are to
answer. It was clear that many students did not read some questions carefully and misread or
misunderstood what was required." — Documents_exams_mathematics_2015_FM2_examrep15.txt

"The importance of the 15-minute reading time cannot be overstated as it was clear that many
students did not read the questions carefully and often gave an answer that did not relate to the
question asked. Students are strongly encouraged to read the question again after they have
completed their answer to ensure that they are answering appropriately. This can also assist with
checking the reasonableness of the answer." — Documents_exams_mathematics_2017_fm2_examrep17.txt

"Students are strongly encouraged to make good use of the fifteen-minute reading time, and check
their response to a question after they have completed their answer to ensure that they are
answering the question suitably." — Documents_exams_mathematics_2019_FM2_examrep19.txt

"Students should use the 15 minutes' reading time to be clear about what the questions are asking.
Often answers seemed to be copied from notes based on a similar problem but not applied to the exam
question." — Documents_exams_mathematics_2020_2020furmaths2-exam-report.txt

"It is recommended that when students complete practice papers at home they allow 15 minutes reading
time first. Students may not always use the reading time efficiently or effectively. Practising
with this time will assist greatly as it simulates the actual exam experience."
— Documents_exams_mathematics_2021_2021furthermath2-report.txt

"Fifteen minutes of reading time is available and students should ensure that they are only looking
at the sections of the examination they will be completing. It is recommended that when students
complete practice examinations at home they allow 15 minutes reading time first."
— Documents_exams_mathematics_2022_2022furmaths2-report.txt
(Under the 2023+ design there are no optional modules, so every section is now one "you will be
completing" — but the underlying advice, triage before you write, stands.)

Two era-specific reading-time housekeeping notes: - 2006–2015: "Detach the formula sheet from the centre of this book during reading time." (Documents_exams_mathematics_2013_2013furmath2-w.txt, …2013furmath1-w.txt). In 2006 this cost marks: "It appeared that some of the students who did not remove (as instructed on the front cover) the green formula sheet in the middle of the examination booklet may not have seen the last questions of the Graphs and relations module." — Documents_exams_mathematics_furthermaths2_assessrep_06.txt - 2016 onwards: the formula sheet is a separate booklet ("You may keep the formula sheet").

A 2016 warning about timing, not reading:

"There was evidence that some students ran out of time. Students should ensure that they plan
their work in order to complete the entire examination in the allotted time."
— Documents_exams_mathematics_2016_FM2_examrep16.txt

6.2 The self-check routine VCAA actually recommends

The 2024 report distils twenty years of advice into a three-question checklist to run after writing each answer:

"Students are strongly encouraged to read the question again after writing their final answer, and
consider the following:
• Has the question been fully answered?
• Does the answer match the value provided in a 'show that' question?
• Is the answer reasonable in a practical context?"
— 2025-03_2024generalmaths2-report.txt

Supporting quotations on reasonableness:

"Students are expected to recognise an inappropriate answer, yet many examples of inappropriate
answers were given." — Documents_exams_mathematics_furthermaths2_assessrep_11.txt (2011)
"…1322.0 metres is not a reasonable answer for the length of fencing around the top of the
excavation…" — Documents_exams_mathematics_2012_fm2_assessrep12.txt
"…it was unreasonable for the value of a caravan to decrease by $5000 for every kilometre that it
travelled… If the answer seems unreasonable, then an error has been made and this error may be found
and corrected if time permits." — Documents_exams_mathematics_2016_FM2_examrep16.txt
"…monthly repayments of $5 280 938.76 would be needed to repay a loan of $30 000 over five years at an
interest rate of 9% pa" — Documents_exams_mathematics_further2_assessrep_07.txt (2007)
"…a weekly allocation to homework of 1239.9 hours and another of −273.911 hours."
— Documents_exams_mathematics_further_maths2_assessrep_08.txt (2008)

6.3 Technology (CAS) — what is allowed, and what it can cost you

Permitted, both exams (2025-04_genmath-specs-w.txt):

"students are permitted to bring into the examination room an approved technology with numerical,
graphical, symbolic, financial and statistical functionality … One bound reference (which may be
annotated) may also be brought into the examination room for both examinations."
Approved materials: "basic stationery requirements (pens, pencils, highlighters, erasers, sharpeners
and rulers); an approved technology…; one scientific calculator; one bound reference."

Papers add "Calculator memory DOES NOT need to be cleared." (2016 onwards) and "Students are not permitted to bring mobile phones and/or any unauthorised electronic devices into the examination room."

The rules VCAA has stated about using it:

1. Write mathematics, not calculator syntax.

   "Technology syntax is not to be used in providing answers; standard mathematical notation is to
   be used. The answer is expected to be written in full and not, for example using technology
   syntax such as 2.944E7." — Documents_exams_mathematics_2014_FM2_examrep14.txt
   "Students should write answers using mathematical notation, not technology syntax."
   — Documents_exams_mathematics_2020_2020furmaths2-exam-report.txt
   "Students must be aware that any response including CAS syntax/notation cannot attract full
   marks. In the instance of 1-mark questions (particularly 'show that' questions such as this one),
   the student may not be awarded the mark."
   — Documents_exams_mathematics_2021_2021furthermath2-report.txt

2. A finance-solver input table is acceptable working.

   "If a TVM function is used, a table of their inputs, including relevant negative signs, is
   acceptable." — Documents_exams_mathematics_further2_assessrep_07.txt (2007)
   "When using a TVM function, a table to show students' inputs should be written as 'working out',
   including relevant negative signs and decimal places for inputs as applicable."
   — Documents_exams_mathematics_further2_assessrep_09.txt (2009)
   "Correct tables of input values for the financial solver may have illustrated working out to
   qualify for [a method or rounding-error allowance]."
   — Documents_exams_mathematics_2016_FM2_examrep16.txt
   "A suitable calculation or a table of input values for the finance solver are examples by which
   that understanding may be shown." — Documents_exams_mathematics_2017_fm2_examrep17.txt The current reports print exactly this table as the model answer, e.g. "Finance solver entries: N = 52 / I% = 6.960000 / PV = 50 000 / PMT = −75 / FV = −49 565.34 / P/Y & C/Y = 52" (2026-01_2025-GeneralMaths2-report.txt, Q9b.i).

3. Sign convention matters.

   "Understanding of the sign convention for the finance solver is very important, as is the
   careful tracking of values used in subsequent calculations."
   — Documents_exams_mathematics_2018_fm1_examrep18.txt (the same sentence appears about TVM in
   …2017_fm1_examrep17.txt)
   "Some students found the payment correctly from the calculator but answered as positive
   22 216.27." — 2026-01_2025-GeneralMaths2-report.txt, Q10
   "A common error was to choose option E, which corresponded to both the PV and FV being incorrectly
   allocated the same sign." — Documents_exams_mathematics_2016_FM1_examrep16.txt, Q24

4. Know your defaults and bracket correctly.

   "Students are expected to be familiar with the technology they use and its default settings.
   Some students obtained unreasonable answers in trigonometry, which may have been caused by
   calculating in radian rather than in degree mode. Further Mathematics students should regard a
   negative angle or an absurdly large (or small) calculated length as a signal to check their
   calculation." — Documents_exams_mathematics_further2_assessrep_10.txt (2010)
   "Poor use of calculators was evident again this year, especially when brackets should have
   been used to group a numerator of a fraction before dividing by a denominator."
   — Documents_exams_mathematics_furthermaths2_assessrep_06.txt (2006)
   "Ineffective calculator usage again seems to have led to incorrect values for s, often due to
   not bracketing the numerator…" — Documents_exams_mathematics_further2_assessrep_07.txt

5. Interpret calculator output.

   "All students must be able to interpret a calculated answer. In practical situations a final
   answer such as 4.8E−34 is likely to indicate a zero value. Similarly, a final answer of, for
   example, 14.9999993, should be taken as 15 in most situations, especially where integer values are
   expected." — Documents_exams_mathematics_further2_assessrep_07.txt (2007)
   "interpreting a large number shown on the calculator, such as 2.944E7"
   — Documents_exams_mathematics_2014_FM2_examrep14.txt
   "…many students were not able to interpret values from their calculator that were written using
   exponent notation (5.16E-3)." — 2025-03_2024generalmaths2-report.txt

6. Use the values the question gives you, not your own solver output.

   "Students were instructed to use the values in the table. Using a finance solver resulted in a
   different balance to the nearest cent which was not appropriate."
   — 2026-01_2025-GeneralMaths2-report.txt, Q7c

7. Historical note (2006–2015 only): the annuities formula was explicitly deprecated in favour of the TVM solver — "the use of the annuities formula is not required in the current study design. It is neither an efficient nor an effective way of solving annuities-related problems." (Documents_exams_mathematics_2012_fm2_assessrep12.txt). Under the 2023+ design the analogous pairing is recurrence relation + finance solver.

8. The broader warning about technology-driven teaching:

   "With the increasing capability of graphics and CAS calculators to store and execute various
   programs, students must expect that their mathematical knowledge will continue to be examined in
   ways that require sensible use of such technology. This includes interpreting and communicating
   results, along with demonstrating an understanding of underlying mathematical ideas…"
   — Documents_exams_mathematics_further2_assessrep_07.txt (2007), repeated in 2008.
   "Of growing concern is evidence that some teachers appear to be presenting formulaic or 'black-box'
   solutions for students. … Such 'black-box' solutions to examination questions are often attempted
   in inappropriate circumstances." — same file.

9. Exam 1 note. The finance solver is also the weak point on Exam 1: "Students did not answer well the questions involving the use of the finance solver or questions involving a change in condition part way through the problem (Questions 19, 20, 21, 23 and 24)" (Documents_exams_mathematics_2020_2020furmaths1-exam-report.txt); "Students did not score as highly on questions involving the use of recurrence relations or the finance solver, or where questions required two or more steps" (2025-07_2023generalmaths1-report.txt).

6.4 The bound reference

One bound reference, which may be annotated, is permitted in both examinations (2025-04_genmath-specs-w.txt):

"This may be a textbook, a securely bound lecture pad, an exercise book or a permanently bound
student-constructed set of notes without foldouts."

Do build a glossary.

"Students and teachers could consider the development of a glossary inside the cover of their bound
book. If this is developed through the year, terms that may be seen only occasionally could be
readily accessed." — Documents_exams_mathematics_further_maths2_assessrep_08.txt (2008)
"Some students seemed to have difficulty with standard vocabulary; for example, misinterpreting
'proportion', 'predicting a value using the least squares regression equation' and 'perpetuity'.
The development of a glossary throughout the year may be beneficial."
— Documents_exams_mathematics_further2_assessrep_10.txt (2010)
"Some students seemed to have a limited understanding of terms such as 'residual value',
'right-triangular prism' and 'perpetuity'. The development of a glossary of key terms throughout the
year is suggested." — Documents_exams_mathematics_2012_fm2_assessrep12.txt
"Points that teachers and students could usefully address include: … a glossary of relevant terms in
the student's bound reference." — Documents_exams_mathematics_2016_FM2_examrep16.txt (also 2015)

A definition in the bound reference can be worth a mark — but only if applied.

"Sometimes a mark is available for students who simply know definitions or have written these in
their bound reference and can apply the definition within the context of the question. For example
in core Question 6b., the definition of a perpetuity is that its value does not change over time. This
accessible question was incorrectly answered by many students."
— Documents_exams_mathematics_2021_2021furthermath2-report.txt

Copying out of it without linking to the question earns nothing — the complaint runs 2006 → 2019.

"In sections of the examination that required written explanations, some student responses seemed to
be copied directly from their 'bound book of notes' and usually demonstrated little understanding of
the answer or the question." — Documents_exams_mathematics_furthermaths2_assessrep_06.txt (2006)
"Some students seemed to rely on their bound book of notes for formulas they do not understand."
— Documents_exams_mathematics_further_maths2_assessrep_08.txt (2008)
"…it was evident that some students were simply transcribing statements from their bound reference
notes, regardless of their relevance to the question. Further Mathematics students are expected to
explain their understanding or to write an analysis of a calculation result within a real life
context." — Documents_exams_mathematics_further2_assessrep_09.txt (2009)
"…often contradicting themselves or writing definitions directly from a bound reference without any
link to the question." — Documents_exams_mathematics_2019_FM2_examrep19.txt

6.5 The formula sheet

• Provided with both examinations, and identical for both. "A formula sheet will be provided with the examination. The formula sheet will be the same for examinations 1 and 2." — 2025-04_genmath-specs-w.txt. (Verified by diffing Documents_exams_mathematics_generalmaths1-formula-w.txt against Documents_exams_mathematics_generalmaths2-formula-w.txt: identical apart from the "Examination 1" / "Examination 2" header.)
• Students keep it. "You may keep this Formula Sheet." / "At the end of the examination — You may keep the formula sheet." (2016 onwards; before 2016 it was a detachable centrefold.)
• Contents (2023+ General Mathematics, 4 pages):
• Data analysis — standardised score z = (x − x̄)/s_x; lower and upper fence in a boxplot Q1 − 1.5 × IQR, Q3 + 1.5 × IQR; least squares line of best fit y = a + bx where b = r·s_y/s_x and a = ȳ − b·x̄; residual value = actual value − predicted value; seasonal index = actual figure / deseasonalised figure.
• Recursion and financial modelling — first-order linear recurrence relation u₀ = a, uₙ₊₁ = R·uₙ + d; effective rate of interest for a compound interest loan or investment.
• Matrices — determinant and inverse of a 2 × 2 matrix; S₀ = initial state, Sₙ₊₁ = T·Sₙ + B; Leslie matrix recurrence relation S₀ = initial state, Sₙ₊₁ = L·Sₙ.
• Networks and decision mathematics — Euler's formula v + f = e + 2, and nothing else.
• Note what is not on it: no mensuration, trigonometry, Pythagoras, sine or cosine rule — those left with the Geometry and measurement module after 2022. Nothing for shortest path, critical path, maximum flow, the Hungarian algorithm, or matrix powers.
• VCAA expects prior familiarity.

  "Students are expected to be familiar with the formula sheet included with the examination."
  — Documents_exams_mathematics_2016_FM2_examrep16.txt
  "Students are expected to be familiar with the formula sheet, which is published on the VCAA
  website." — Documents_exams_mathematics_2017_fm2_examrep17.txt
  "Students should familiarise themselves with the formula sheet during reading time, or the
  formula sheet published on the VCAA website well before the examination."
  — Documents_exams_mathematics_2021_2021furthermath2-report.txt
  "Students should familiarise themselves with this formula sheet well before the examination."
  — 2025-03_2024generalmaths2-report.txt

• Students lose marks by not using it: "calculating a residual value (despite the fact that the relevant formula was given on the formula sheet)" (Documents_exams_mathematics_further2_assessrep_07.txt); "…despite the formula for the volume of a sphere appearing on the formula sheet"; "The negative sign was required, as determined by the correct use of the residual formula on the formula sheet."

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7. The recurring examiner complaints, ranked

Ranked by the number of distinct examination reports in the corpus that raise each complaint, most frequent first. "Years" lists report years in which the complaint appears (Exam 1 and Exam 2 reports combined).

1. Rounding — wrong, premature, or applied when none was asked for

36 reports. Years: 2006, 2007, 2008, 2009, 2010, 2011, 2012, 2013, 2014, 2015, 2016, 2017, 2018, 2019, 2020, 2021, 2022, 2023, 2024, 2025 (plus NHT 2017, 2018). The most-raised issue in the entire corpus, with three distinct sub-complaints: rounding money to 5c/10c/$1 (2007→2024); confusing significant figures with decimal places (2016→2025); and rounding when the question gave no instruction (2017→2025).

"With regards to rounding, the instructions section at the beginning of the examination clearly
states that 'In all questions where a numerical answer is required, you should only round your
answer when instructed to do so.'" — 2025-03_2024generalmaths2-report.txt

2. "Show that" answered badly

26 reports. Years: 2007, 2008, 2009, 2011, 2012, 2013, 2015, 2016, 2017, 2018, 2019, 2020, 2021, 2022, 2024, 2025. Working back from the given value; stating the answer without the steps; ignoring the "use recursion" constraint; not taking the final step.

"Questions that were not well answered often involved the instruction to 'show that' a particular
answer could be obtained." — Documents_exams_mathematics_2021_2021furthermath2-report.txt

3. Not reading the question / not answering the question asked

20+ reports. Years: 2006, 2007, 2008, 2009, 2010, 2011, 2012, 2013, 2014, 2015, 2016, 2017, 2018, 2019, 2020, 2021, 2022, 2024.

"Students' ability to read and understand the question seemed to be a problem this year."
— Documents_exams_mathematics_furthermaths2_assessrep_06.txt (2006)
"It was concerning that some students did not read questions carefully. For example, in Question 1ai.
in the Core section, it seemed that many students did not read the key words in the introductory
sentence… 'The average of all the numbers in the stemplot' was a common incorrect answer."
— Documents_exams_mathematics_furthermaths2_assessrep_11.txt (2011)
"Failure to read the question carefully cost many students marks. For example, Question 3a. in the
Core section asked for 'The wind direction with the lowest recorded wind speed…' However, many
students answered this question as if it were 'The lowest recorded wind speed…'"
— Documents_exams_mathematics_2012_fm2_assessrep12.txt
"It was clear that many students did not read the questions carefully enough and often gave answers
that appeared to be based on a similar kind of question from their studies and revision."
— Documents_exams_mathematics_2019_FM2_examrep19.txt
"Another example of the importance of reading carefully was in Question 8, with 'the final repayment
amount being slightly different from all the other repayments'. Some students incorrectly used 289
payments to find a final payment of $4.20 (not slightly different)…"
— 2025-03_2024generalmaths2-report.txt
"While the majority of students were able to perform the requisite computations correctly, many did
not read the question carefully and identify which computations to perform."
— Documents_exams_mathematics_further1_assessrep_11.txt (Exam 1, 2011)

4. Writing an answer with no working — forfeiting method and consequential marks

18 reports. Years: 2006, 2007, 2008, 2009, 2010, 2011, 2012, 2013, 2014, 2015, 2016, 2017, 2018, 2019, 2020, 2021, 2022, 2025.

"A significant number of students who gave incorrect answers forfeited the chance to gain any method
or consequential marks by not showing working."
— Documents_exams_mathematics_further2_assessrep_09.txt (2009)
"Assessors only mark the student's presented work. They cannot assume that 'a student must have done
this to get that answer.'" — Documents_exams_mathematics_further2_assessrep_07.txt (2007)
"Organised presentation of a multi-step calculation was essential for high marks. Many students
wrote answers without calculations to two-mark questions."
— Documents_exams_mathematics_2015_FM2_examrep15.txt

5. Consequential-mark eligibility not met

14 reports. Years: 2006, 2007, 2008, 2009, 2010, 2011, 2012, 2013, 2014, 2015, 2016, 2017, 2018, 2019. Almost always the same failure: no visible calculation showing how the previous (wrong) answer was carried forward.

"Consequential marks may only be available if the mathematical reasoning shows how a previous
student-generated answer was used to generate the answer to the current question."
— Documents_exams_mathematics_further2_assessrep_09.txt (2009)

6. Transcription and copying errors

12 reports. Years: 2008, 2009, 2013, 2017, 2019, 2020, 2021, 2022, 2024, 2025 (+ NHT).

"Transcription errors can be costly. … It was not uncommon to see answers with a 0 or 1 missing
or digits interchanged." — Documents_exams_mathematics_2021_2021furthermath2-report.txt

7. Lines drawn freehand; points plotted imprecisely; no ruler

12 reports. Years: 2007, 2009, 2010, 2011, 2017, 2018, 2019, 2020, 2021, 2022, 2024, 2025.

"Where lines are drawn freehand, on graphs in particular, these are often insufficiently accurate to
gain marks or to be useful for reading values from the graph."
— Documents_exams_mathematics_furthermaths2_assessrep_11.txt (2011)

8. Significant figures misunderstood / exponent notation misread

11 reports. Years: 2016, 2017, 2018, 2019, 2020, 2021, 2024, 2025 (+ NHT 2017, 2018). A sub-case of #1, but distinct enough that VCAA names it separately almost every year since 2016 — nearly always on the least-squares-line coefficients.

9. Terminology, vocabulary and the study-design glossary

9 reports. Years: 2008, 2009, 2010, 2012, 2015, 2016, 2017, 2024, 2025.

"There were many cases where students' seemed to be unfamiliar with relevant mathematical
terminology. A particular case was in Data analysis where the question required a reciprocal
transformation. Many students did not seem to understand this term and inappropriately performed a
log transformation instead." — Documents_exams_mathematics_further_maths2_assessrep_08.txt (2008)
"Overall, students need to be very clear on the key knowledge and key skills contained in the VCE
Mathematics Study Design 2023–2027 for General Mathematics, and to use the formal terminology within
the course." — 2025-03_2024generalmaths2-report.txt

10. Adding extra, unrequested detail that destroys a correct answer ("further engagement")

10 reports. Years: 2006, 2007, 2012, 2017, 2018, 2019, 2020, 2022, 2024, 2025. Rising in prominence: it is raised in the general comments of both current reports and written into the assessor guide as a rejection instruction.

"Students need to be careful that if they provide additional information in their response, it must
be correct." — 2025-03_2024generalmaths2-report.txt and 2026-01_2025-GeneralMaths2-report.txt

11. Unreasonable answers not recognised

8 reports. Years: 2007, 2008, 2009, 2010, 2012, 2013, 2016, 2017.

"Students are encouraged to review each answer, relate it to the context of the question and ask
themselves whether it is reasonable." — Documents_exams_mathematics_2012_fm2_assessrep12.txt (Largely improved by 2013: "There were fewer examples of unreasonable numerical answers this year than has been seen in the past.")

12. Illegible handwriting / scanning problems

8 reports. Years: 2007, 2016, 2017, 2019, 2020, 2021, 2022, 2024. Persistent since scanned on-screen marking began.

13. Answers not related to the context of the question

8 reports. Years: 2008, 2009, 2010, 2011, 2012, 2014, 2016, 2021.

"Formulaic answers were common, with some students referring to 'the first term of the series'
rather than to the cost of the first section of tollway."
— Documents_exams_mathematics_further2_assessrep_10.txt (2010)

14. Copying from the bound reference instead of answering

7 reports. Years: 2006, 2008, 2009, 2013, 2016, 2019, 2021.

15. Crossed-out work that was actually correct

4 reports. Years: 2006, 2007, 2011, 2014.

"Deleted work cannot be assessed." — Documents_exams_mathematics_further2_assessrep_07.txt

Honourable mentions (raised repeatedly but less often)

• "Black-box" / formulaic solutions taught without understanding — 2007, 2008, 2009, 2010.

  "This was apparent where answers were provided using an incorrect, but related, formula that the
  student clearly did not understand conceptually."
  — Documents_exams_mathematics_further2_assessrep_07.txt

• Failing to bracket a numerator before dividing — 2006, 2007, 2016.
• Radian/degree mode errors — 2010.
• Not attempting a question at all, especially where instructions follow a graph — 2006, 2007, 2009, 2010, 2015.

  "This seemed to happen particularly where a graph was involved and where instructions immediately
  followed a graph." — Documents_exams_mathematics_further2_assessrep_10.txt

• Using technology syntax in answers — 2014, 2020, 2021.
• Answering with a matrix where a number was asked for — 2008.

  "An example is the provision of a matrix where a question specifically asks for a number. In such
  instances, the matrix cannot be accepted even though one of its elements may be the required
  number." — Documents_exams_mathematics_further_maths2_assessrep_08.txt

• Running out of time — 2016.
• Causal language about r² — 2006, 2009, 2024.

The four-line summary VCAA would probably write itself

1. Read the command word and the mark allocation; answer exactly that, and nothing more.
2. Show a calculation for every part worth more than one mark, and write the unrounded value before the rounded one.
3. On "show that", finish at the given number — never start from it.
4. Round only when told, round only once, and round to exactly what was asked.

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Appendix — Corpus notes and caveats

• The 2023 Exam 2 examination report is not in this corpus (only the 2023 Exam 1 report, 2025-07_2023generalmaths1-report.txt).
• The 2025 Exam 2 report (2026-01_2025-GeneralMaths2-report.txt) has no "General comments" section — it opens directly at the per-question notes. Its advice (rounding, further engagement, precision on grids, significant figures) is distributed through those notes instead.
• Three corpus files are empty stubs (form-feed bytes only): Documents_exams_mathematics_2024_2024GeneralMaths1-w.txt (2024 main Exam 1), Documents_exams_mathematics_2024_2024GeneralMaths2-w.txt (2024 main Exam 2), and 2025-05_2025-NHT-generalmaths2.txt. The 2024 main papers are reconstructible from 2025-03_2024generalmaths1-report.txt, Documents_exams_mathematics_2024_2024genmaths1-markguideresponses.txt, 2025-03_2024generalmaths2-report.txt, 2025-04_2024generalmathematics2-assessment-guide.txt and 2025-04_General_Maths_Examination_2.txt (a transcript of the 2024 Chief Assessor's presentation).
• Correct answers cannot be recovered from the 2006–2020 Exam 1 report tables — the key was shown by grey shading ("The correct answer is indicated by shading"), which is lost in text extraction. Only 2021 onwards carry an explicit Correct answer column.
• Documents_exams_mathematics_further1_assessrep_10.txt (2010 Exam 1) contains tables only — no general comments and no per-question commentary.
• The 2014 and 2015 Exam 1 report tables are column-scrambled by the PDF-to-text conversion; the prose in those reports is reliable, the numbers in their tables are not.
• All -w.txt files carry OCR mojibake: en-dashes and bullets render as �; superscripts, subscripts, surds, matrix brackets and inline fractions are frequently lost. Matrix and network questions are often unreconstructible as mathematics from the text alone.
• NHT (Northern Hemisphere Timetable) papers and reports — separate May/June sittings — are present for 2017–2026. Their reports have no General comments sections; they are per-question sample answers only. They are useful for extra question wordings but not for policy statements.