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(a)Question part (a)
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Report-based difficulty · EasyAverage marks: 70% of available · official reportFull marks: 48% of students · official report
a. Express the derivative f/(f) as a hybrid function. 2 marks . ’ [=]
Search excerpt only. Open the original question for exact equations and diagrams.Source: 2024 VCE Mathematical Methods 2 examination · Report: 2024 VCE Mathematical Methods 2 external assessment report (DOCX, 860.29 KB)Section B, Question 2(c)(ii)Question part (c)(ii)
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Report-based difficulty · EasyAverage marks: 90% of available · official reportFull marks: 85% of students · official report
ii. Find the derivative g/(f). 1 mark ii. Find the value of 7 for which g/(1) = 10. Give your answer correct to three decimal places. 1 mark ° e 2 £ iS 8 3 = [=] d. Find the time €
Search excerpt only. Open the original question for exact equations and diagrams.Source: 2024 VCE Mathematical Methods 2 examination · Report: 2024 VCE Mathematical Methods 2 external assessment report (DOCX, 860.29 KB)Section B, Question 3(b)(i)Question part (b)(i)
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Report-based difficulty · EasyAverage marks: 75% of available · official reportFull marks: 63% of students · official report
i. Complete the graph of / on the set of axes above until December 2023, that is, for re (24,36] Label the endpoint at 7 = 36 with its coordinates. 2 marks i. Find the derivative /
Search excerpt only. Open the original question for exact equations and diagrams.Source: 2024 VCE Mathematical Methods 2 examination · Report: 2024 VCE Mathematical Methods 2 external assessment report (DOCX, 860.29 KB)Section B, Question 4(b)Question part (b)
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Estimated difficulty · Easy
b. Given that f has a stationary point of inflection at (−2, 2) and an axial intercept at (0, 4), find the values of a, b and c. 2 marks N H T
Search excerpt only. Open the original question for exact equations and diagrams.Source: 2024 VCE (NHT) Mathematical Methods examination 2Section B, Question 4(g)Question part (g)
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Estimated difficulty · Medium
g. Using the derivatives of f and g at x = − 4, show that the angle at the left corner of the shaded tile, at the point (−4, 0), is 90°. 2 marks N H T
Search excerpt only. Open the original question for exact equations and diagrams.Source: 2024 VCE (NHT) Mathematical Methods examination 2Section B, Question 5(b)Question part (b)
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Estimated difficulty · Easy
b. i. Find the derivative of /* g. 1 mark Section B
Search excerpt only. Open the original question for exact equations and diagrams.Source: 2024 VCE Mathematical Methods 2 examinationSection B, Question 5(e)Question part (e)
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Estimated difficulty · Medium
e. The value of a determines the number of intersection points of the graphs of g and g−1. Complete the following table by stating the value(s) of a in each case. 2 marks Number of
Search excerpt only. Open the original question for exact equations and diagrams.Source: 2024 VCE (NHT) Mathematical Methods examination 2Question 1(a)Question part (a)
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Estimated difficulty · Easy
a. Find the derivative of y = x sin(x) with respect to x. 1 mark
Search excerpt only. Open the original question for exact equations and diagrams.Source: 2023 VCE (NHT) Mathematical Methods examination 1Section A, Question 7
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Report-based difficulty · MediumAverage marks: 60% of available · official reportAnswered correctly: 60% · official report
Question 7 Let f (x) = loge x, where x > 0 and ) g x x 1 , where x < 1. The domain of the derivative of ( f ⸰ g)(x) is A. x ∈ R B. x ∈ (− ∞, 1] C. x ∈ (− ∞, 1) D. x ∈ (0, ∞) E. x ∈
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 reportSection A, Question 13
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Report-based difficulty · MediumAverage marks: 52% of available · official reportAnswered correctly: 52% · official report
Question 13 The following algorithm applies Newton’s method using a For loop with 3 iterations. Inputs: f(x), a function of x df(x), the derivative of f(x) x0, an initial estimate
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 reportSection B, Question 1(b)Question part (b)
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Report-based difficulty · EasyAverage marks: 80% of available · official reportFull marks: 68% of students · official report
b. Find the coordinates of the stationary points of f. 2 marks Instructions for Section B Answer all questions in the spaces provided. In all questions where a numerical answer is
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 reportSection B, Question 2(g)Question part (g)
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Estimated difficulty · Medium
g. Find the derivative C2′(t), giving your answer as a hybrid function that includes the relevant domains. 2 marks 2023 MATHMETH EXAM 2 (NHT) 16 D O N O T W R I T E I N T H I S A R
Search excerpt only. Open the original question for exact equations and diagrams.Source: 2023 VCE (NHT) Mathematical Methods examination 2How to use ClassConnect past exam questions
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