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: 1,902 indexed questions and parts.
Question 9(b)(i)Question part (b)(i)
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Report-based difficulty · MediumAverage marks: 40% of available · official reportFull marks: 22% of students · official report
i. Find, in terms of w, the coordinates of the minimum point of the graph of y x x w ( )( ) 1 . 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 9(b)(ii)Question part (b)(ii)
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Report-based difficulty · DifficultAverage marks: 5% of available · official reportFull marks: 4% of students · official report
ii. Hence, or otherwise, find the positive values of w for which f x g x ( ) ( ) = has exactly three solutions. 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)Section A, Question 1
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Estimated difficulty · Medium
Question 1 Ifx — ais a factor of 3x* — 5x — ax, where a € R\{0}, then the value of a is A 2 5 : 3 Po 3 = S D. 2 2 EH
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 1
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Estimated difficulty · Easy
Question 1 A function that has a range of [6, 12] is A. f R R f x x : , ( ) cos ( ) 6 3 9 B. f R R f x x : , ( ) cos ( ) 6 6 3 C. f R R f x x : , ( ) cos ( ) 9 3 6 D. f R R f x 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 A, Question 2
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Estimated difficulty · Easy
Question 2 All asymptotes of the graph of y x 2 1 2 tan are given by A. x k k Z , B. x k k Z 2 , C. x k k Z 2 1, D. x k k Z 4 1 2 , Section A
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Estimated difficulty · Medium
Question 2 = E) Suppose that /: R — Rand g : R — R are functions such that f(x) = g'(x) ~2, /(0) = 1 and g (0) = 2. 5 Then A g)=/"()+2 B. g(¥)=/f(x)+2x+1 C. g=3 D. g()=f()+2
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 3
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Estimated difficulty · Medium
Question 3 » " If fde=3, then | (2/(x)+3)dx is equal to ) A. 3(b-a+2) B. 3(b-a-2) C. 3a-h+2) D. 3(a-b-2)
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Estimated difficulty · Easy
Question 3 The graph of y f x = ( ) is shown below. −4 −3 −2 −1 1 O 2 3 4x −2 −1 1 2 3 4 y Which one of the following options best represents the graph of y f x ( ) 2? A. B. C. D.
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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 4
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Estimated difficulty · Easy
Question 4 Consider the system of equations below containing the parameter k, where k R ∈ . kx y k x k y k 3 2 2 1 6 2 2 ( ) Find the value(s) of k for which this system has no rea
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Estimated difficulty · Easy
Question 5 Which of the following sets represents a function that has an inverse function? A. ( , ), ( , ), ( , ) 1 3 2 0 2 1 B. ( , ), ( , ), ( , ) 1 3 2 2 3 1 C. ( , ), ( , ), (
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Estimated difficulty · Medium
Question 5 The scores of a national standardised test are approximately normally distributed with mean of 120 and standard deviation of 15. Andrew scored 117.9 and Chloe's score is
Search excerpt only. Open the original question for exact equations and diagrams.Source: 2025 VCE (NHT) Mathematical Methods examination 2 (PDF, 4.82 MB)How to use ClassConnect past exam questions
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