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: 29 indexed questions and parts.
Question 8(a)(ii)Question part (a)(ii)
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Estimated difficulty · Medium
ii. Hence, or otherwise, evaluate the definite integral | f(x) dx. 3 marks o ° =) S H FE he
Search excerpt only. Open the original question for exact equations and diagrams.Source: 2025 VCE (NHT) Mathematical Methods examination 1 (PDF, 1.92 MB)Section A, Question 4
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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 B, Question 2(c)Question part (c)
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c. Use a definite integral to evaluate the area bounded by the graphs of y f x = ( ) and y g x = ( ), where x [ ] 12, 2 . Give the area correct to two decimal places. 2 marks
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 2(d)Question part (d)
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Estimated difficulty · Medium
d. The function g is the anti-derivative of f that passes through the point (1, =5). Id I ® 2 £ 8 H ° = o [=] Page 13 0f 24
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 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 3(b)(i)Question part (b)(i)
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i. If k = 47, write a definite integral to show that the probability of the driver being late is 0.08704 1 mark
Search excerpt only. Open the original question for exact equations and diagrams.Source: 2025 VCE Mathematical Methods examination 2 (PDF, 1.13 MB)Question 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 8(b)Question part (b)
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Estimated difficulty · Easy
b. The average value of the function, f, over 0 ≤ x ≤ m is 1 3 . Find the value of m. 3 marks N H T
Search excerpt only. Open the original question for exact equations and diagrams.Source: 2024 VCE (NHT) Mathematical Methods examination 1Section A, Question 20
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Report-based difficulty · MediumAverage marks: 41% of available · official reportAnswered correctly: 41% · official report
Question 20 The function f': R — R has an average value & on the interval [0, 2] and satisfies /(x) = f(x +2) for 6 allx € R. The value of the definite integral I, fds is A. B. C.
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(a)Question part (a)
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Report-based difficulty · EasyAverage marks: 80% of available · official reportFull marks: 79% of students · official report
a. Write a definite integral which gives the probability that a piece of luggage is labelled as heavy. 1 mark
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 5(c)Question part (c)
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c. I Write a single definite integral that gives the area bounded by the graphs of y= (f°g)x) andy = (g ° /)(x) in the interval [0, 27] 1 mark
Search excerpt only. Open the original question for exact equations and diagrams.Source: 2024 VCE Mathematical Methods 2 examinationSection B, Question 1(c)(ii)Question part (c)(ii)
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Estimated difficulty · Easy
ii. Write down an expression using definite integrals that gives the area of the regions bound by f and g. 2 marks
Search excerpt only. Open the original question for exact equations and diagrams.Source: 2023 VCE Mathematical Methods 2 examinationHow to use ClassConnect past exam questions
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