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 9(b)Question part (b)
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Estimated difficulty · Easy
b. The graph of y = f (x) has exactly one stationary point.
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i. Find the coordinates of this stationary point. 2 marks
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Estimated difficulty · Easy
ii. Determine the nature of this stationary point. 2 marks
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Estimated difficulty · Medium
d. Given that f x dx p q ( ) 0, where p ≠ q and p q R , ∈ , find an expression for p in terms of q. 3 marks
Search excerpt only. Open the original question for exact equations and diagrams.Source: 2026 VCE (NHT) Mathematical Methods examination 1 (PDF, 910.64 KB)Section B, Question 2(a)Question part (a)
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Estimated difficulty · Easy
a. State the coordinates of both stationary points of f. 1 mark
Search excerpt only. Open the original question for exact equations and diagrams.Source: 2026 VCE (NHT) Mathematical Methods examination 2 (PDF, 1.3 MB)Section B, Question 2(f)(i)Question part (f)(i)
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i. Find the x-values of the stationary points of g in terms of k. 1 mark
Search excerpt only. Open the original question for exact equations and diagrams.Source: 2026 VCE (NHT) Mathematical Methods examination 2 (PDF, 1.3 MB)Section B, Question 2(f)(iii)Question part (f)(iii)
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Estimated difficulty · Easy
iii. Let L be the straight line passing through the stationary points of g. Find the total area of the regions bounded by the graph of y = g(x) and the line L, between the stationa
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Estimated difficulty · Medium
Question 4 (17 marks) Let f be a differentiable function with domain [0, 5]. The graph of y = f (x) is shown below. It has exactly four stationary points, which have coordinates (1
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Estimated difficulty · Medium
f. Let g : (-0.8, 1.8) → R, g(x) = x3 - x2 - x + 3.
Search excerpt only. Open the original question for exact equations and diagrams.Source: 2026 VCE (NHT) Mathematical Methods examination 2 (PDF, 1.3 MB)Section B, Question 4(f)(iii)Question part (f)(iii)
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Estimated difficulty · Medium
iii. Find the x-values of the stationary points of f g x ( ) . 4 marks Section B
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Report-based difficulty · EasyAverage marks: 75% of available · official reportFull marks: 61% of students · official report
b. Let f x x ( ) 6 1 5. Find the gradient of the tangent to y f x = ( ) at x = 8. 2 marks
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 5(b)Question part (b)
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Report-based difficulty · MediumAverage marks: 50% of available · official reportFull marks: 43% of students · official report
b. Let g x e ex x ( ) 2 8 7, where x R ∈ . The function g x ( ) has exactly one stationary point, a local minimum. Find the largest value of a such that when g is restricted to the
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)How to use ClassConnect past exam questions
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