VCE Mathematical Methods Past Exam Questions
Browse VCE Mathematical Methods exam questions from 2015–2026, including NHT and VCE papers. Filter by topic, year and paper; open the original source.
Matching results: 114 indexed questions and parts.
Question 7(d)(i)Question part (d)(i)
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Report-based difficulty · MediumAverage marks: 50% of available · official reportFull marks: 44% of students · official report
i. State the coordinates of the stationary point of inflection for the graph of y f x g x = ( ) ( ). 1 mark
Search excerpt only. Open the original question for exact equations and diagrams.Source: 2025 VCE Mathematical Methods examination 1 (PDF, 873.59 KB) · Report: 2025 VCE Mathematical Methods 1 external assessment report (DOCX, 11.15 MB)Question 9(b)Question part (b)
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Estimated difficulty · Medium
b. Consider the case where w > 0. This page is blank. Mathematical Methods
Search excerpt only. Open the original question for exact equations and diagrams.Source: 2025 VCE Mathematical Methods examination 1 (PDF, 873.59 KB)Section A, Question 4
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Estimated difficulty · Medium
Question 4 The graph of y = f(x) is shown below. Which option shows the graph of y= F(x), where Fis an anti-derivative of £2 A. B. Id I ® 2 £ 8 H ° = o [=] Section A
Search excerpt only. Open the original question for exact equations and diagrams.Source: 2025 VCE (NHT) Mathematical Methods examination 2 (PDF, 4.82 MB)Section A, Question 16
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Estimated difficulty · Medium
Question 16 Consider the function h x a bx e ( ) log ( ) = , where a b R , \{ } ∈ 0 . Given that its derivative ′ h x ( ) has range (0, ∞), which of the following must be true? A.
Search excerpt only. Open the original question for exact equations and diagrams.Source: 2025 VCE Mathematical Methods examination 2 (PDF, 1.13 MB)Section B, Question 1(a)Question part (a)
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Estimated difficulty · Easy
a. Find the x-value of the stationary point of inflection of the graph of y= g (x). 1 mark
Search excerpt only. Open the original question for exact equations and diagrams.Source: 2025 VCE (NHT) Mathematical Methods examination 2 (PDF, 4.82 MB)Section B, Question 1(a)Question part (a)
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Estimated difficulty · Easy
a. Find the coordinates of both stationary points of g. 2 marks
Search excerpt only. Open the original question for exact equations and diagrams.Source: 2025 VCE Mathematical Methods examination 2 (PDF, 1.13 MB)Section B, Question 1(b)Question part (b)
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Estimated difficulty · Easy
b. Sketch the graph of y g x = ( ) on the axes below, labelling the stationary points and axial intercepts with their coordinates. 2 marks 1 −1 −2 2 1 −1 −2 2 x y O Section B
Search excerpt only. Open the original question for exact equations and diagrams.Source: 2025 VCE Mathematical Methods examination 2 (PDF, 1.13 MB)Section B, Question 1(c)Question part (c)
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Estimated difficulty · Medium
c. Complete the following gradient table with appropriate values of x and g' x ( ) to show that g has a stationary point of inflection. 2 marks x g′(x)
Search excerpt only. Open the original question for exact equations and diagrams.Source: 2025 VCE Mathematical Methods examination 2 (PDF, 1.13 MB)Section B, Question 1(e)Question part (e)
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Estimated difficulty · Easy
e. Let h be the result after applying a sequence of transformations to g, such that h has a stationary point of inflection at (1, 0) and a local maximum at (-1, 1). Write down a po
Search excerpt only. Open the original question for exact equations and diagrams.Source: 2025 VCE Mathematical Methods examination 2 (PDF, 1.13 MB)Section B, Question 1(g)(ii)Question part (g)(ii)
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Estimated difficulty · Easy
ii. Find all values of k for which the graph of y = g, (x) has exactly one stationary point. 3 marks, Section B
Search excerpt only. Open the original question for exact equations and diagrams.Source: 2025 VCE (NHT) Mathematical Methods examination 2 (PDF, 4.82 MB)Section B, Question 2(d)Question part (d)
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Estimated difficulty · Medium
d. The function g is the anti-derivative of f that passes through the point (1, =5). Id I ® 2 £ 8 H ° = o [=] Page 13 0f 24
Search excerpt only. Open the original question for exact equations and diagrams.Source: 2025 VCE (NHT) Mathematical Methods examination 2 (PDF, 4.82 MB)Section B, Question 2(d)(i)Question part (d)(i)
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Estimated difficulty · Easy
i. Write down an expression for the derivative of h x ( ). 1 mark
Search excerpt only. Open the original question for exact equations and diagrams.Source: 2025 VCE Mathematical Methods examination 2 (PDF, 1.13 MB)How to use ClassConnect past exam questions
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