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(f)Question part (f)
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Estimated difficulty · Medium
f. Let F be an anti-derivative of f that passes through (0, c), where c R ∈ . This page is blank. Examination continues on the next page.
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 4(g)Question part (g)
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g. Let g R g x ax bx cx d : , , ( ) 0 5 2 3 2 be a polynomial function, where a b c d R , , , ∈ . Suppose g f ( ) ( ) 0 0 = and g' f ( ) ( ) 0 0 . This page is blank. Mathematical
Search excerpt only. Open the original question for exact equations and diagrams.Source: 2025 VCE Mathematical Methods examination 2 (PDF, 1.13 MB)Question 7(b)Question part (b)
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b. I. Find f(x). 1 mark 2; Ii. Determine the range of f(x) over the interval [2 z] . 1 mark lil. Hence, verify that f(x) has a stationary point for x & [5 1 mark
Search excerpt only. Open the original question for exact equations and diagrams.Source: 2024 VCE Mathematical Methods 1 examinationQuestion 8(a)Question part (a)
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a. Find an anti-derivative for f (x). 1 mark
Search excerpt only. Open the original question for exact equations and diagrams.Source: 2024 VCE (NHT) Mathematical Methods examination 1Question 9(d)Question part (d)
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d. Let y = g (x) be the tangent to y = f (x) at the point 3 3 , ( ) f . y = g(x) ( ) 3, (3) fx = 1 y = f (x) y x O Using d dx xe f xx ( ) , or otherwise, determine the area of the
Search excerpt only. Open the original question for exact equations and diagrams.Source: 2024 VCE (NHT) Mathematical Methods examination 1Section A, Question 2
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Report-based difficulty · EasyAverage marks: 81% of available · official reportAnswered correctly: 81% · official report
Question 2 = A function g : R —> R has the derivative g(x) = H 2 Given that g (0) = 5, the value of g(2) is s A. 2 7 B. 3 5 cs Ed @ D. 7 ® ° =
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 A, Question 16
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Report-based difficulty · DifficultAverage marks: 36% of available · official reportAnswered correctly: 36% · official report
Question 16 Suppose that a differentiable function f: R —> R and its derivative /: R — R satisfy f(4) = 25 and fr@)=15. Determine the gradient of the tangent line to the graph of y
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 A, Question 16
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Estimated difficulty · Easy
Question 16 The values for two continuous functions, f and g, and their derivatives are given in the tables below. x = 0 x = 2 x = 0 x = 2 f (x) 2 −1 g(x) 1 −1 f ′(x) −1 2 g′(x) 0
Search excerpt only. Open the original question for exact equations and diagrams.Source: 2024 VCE (NHT) Mathematical Methods examination 2Section A, Question 19
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Question 19 Let f : R → R be a continuous and differentiable function. Part of the graph of f is shown below. The stationary points of f are at 1 1 , ( ) f and 3 3 , ( ) f . ( ) 3,
Search excerpt only. Open the original question for exact equations and diagrams.Source: 2024 VCE (NHT) Mathematical Methods examination 2Section B, Question 1(b)Question part (b)
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b. Use the derivative f ′ to find the coordinates of the turning points of f, when p = 3. 2 marks Section B
Search excerpt only. Open the original question for exact equations and diagrams.Source: 2024 VCE (NHT) Mathematical Methods examination 2Section B, Question 1(c)Question part (c)
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c. i. Find the value of p for which f would have exactly one stationary point. 1 mark
Search excerpt only. Open the original question for exact equations and diagrams.Source: 2024 VCE (NHT) Mathematical Methods examination 2Section B, Question 1(c)(ii)Question part (c)(ii)
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ii. Find the values of p for which f would not have any stationary points. 1 mark
Search excerpt only. Open the original question for exact equations and diagrams.Source: 2024 VCE (NHT) Mathematical Methods examination 2How to use ClassConnect past exam questions
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