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.
Section B, Question 2(h)Question part (h)
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Estimated difficulty · Medium
h. Use the derivative C2′(t) to find the times during which the amount of active caffeine is decreasing by at least 8 milligrams per hour. Express your answer in interval notation,
Search excerpt only. Open the original question for exact equations and diagrams.Source: 2023 VCE (NHT) Mathematical Methods examination 2Section B, Question 3(b)Question part (b)
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Report-based difficulty · EasyAverage marks: 90% of available · official reportFull marks: 85% of students · official report
b. The derivative, gʹ (x), can be expressed in the form gʹ (x) = k × 2x. Find the real number k. 1 mark
Search excerpt only. Open the original question for exact equations and diagrams.Source: 2023 VCE Mathematical Methods 2 examination · Report: 2023 VCE Mathematical Methods 2 external assessment reportQuestion 8(c)Question part (c)
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c. Consider the average value of the function f over the interval x ∈ [0, k], where k ∈ [0, 2]. Find the value of k that results in the maximum average value. 2 marks MATHEMATICAL
Search excerpt only. Open the original question for exact equations and diagrams.Source: 2022 Mathematical Methods exam 1Section A, Question 7
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Report-based difficulty · EasyAverage marks: 73% of available · official reportAnswered correctly: 73% · official report
Question 7 The graph of y = f (x) is shown below. y x The graph of y = f ' (x), the first derivative of f (x) with respect to x, could be A. B. C. D. E.
Search excerpt only. Open the original question for exact equations and diagrams.Source: 2022 Mathematical Methods exam 2 · Report: 2022 Mathematical Methods exam 2 reportSection A, Question 13
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Question 13 Let f x g x x ( ) ( ) 1 2 , where g is a function that is continuous and differentiable for all x ∈ R. The gradient of the tangent to the graph of f at the point where
Search excerpt only. Open the original question for exact equations and diagrams.Source: 2022 VCE (NHT) Mathematical Methods examination 2Section B, Question 1(a)Question part (a)
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a. Find f ' (x), the derivative of f, with respect to x. 1 mark
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b. Give the coordinates of the stationary point of f. 1 mark
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Report-based difficulty · EasyAverage marks: 100% of available · official reportFull marks: 96% of students · official report
b. State the derivative of f with respect to x. 1 mark The tangent to f at point M has gradient −2.
Search excerpt only. Open the original question for exact equations and diagrams.Source: 2022 Mathematical Methods exam 2 · Report: 2022 Mathematical Methods exam 2 reportSection B, Question 2(c)Question part (c)
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Estimated difficulty · Easy
c. Find the rule for h3 , a quadratic function with a stationary point at (4, 6) and which passes through (2, 2). 2 marks Sally believes the function h3 is closely related to the i
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Report-based difficulty · MediumAverage marks: 60% of available · official reportFull marks: 64% of students · official report
a. Find the value of g 6 . 1 mark The derivative of g with respect to x is given by g x x f x ( ) cos( ) sin( ) 2 2 2 .
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Estimated difficulty · Easy
c. i. Write down the rule for the derivative of h. 1 mark
Search excerpt only. Open the original question for exact equations and diagrams.Source: 2022 VCE (NHT) Mathematical Methods examination 2Section B, Question 5(d)Question part (d)
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Report-based difficulty · DifficultAverage marks: 30% of available · official reportFull marks: 23% of students · official report
d. Find the average value of the derivative function g' (x) between x 8 and x 6 . 2 marks
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