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.
Section B, Question 5(c)Question part (c)
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Estimated difficulty · Medium
c. i. Give the general solution for f (x) = 0. 1 mark 23 2023 MATHMETH EXAM 2 (NHT) d o n o t w r i t e i n t h i s a r e a Let the definite integral g a f x dx a ( ) ( ) 1 0 where
Search excerpt only. Open the original question for exact equations and diagrams.Source: 2023 VCE (NHT) Mathematical Methods examination 2Question 2(a)Question part (a)
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Report-based difficulty · MediumAverage marks: 50% of available · official reportFull marks: 45% of students · official report
a. Let g R g x x : , , ( ) 3 2 2 3 . Find the rule for an antiderivative of g(x). 1 mark
Search excerpt only. Open the original question for exact equations and diagrams.Source: 2022 Mathematical Methods exam 1 · Report: 2022 Mathematical Methods exam 1 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 B, Question 3(b)Question part (b)
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b. i. State the value of the definite integral f h dh ( ) .1 5 3 ∫ . 1 mark 19 2022 MATHMETH EXAM 2 d o n o t w r i t e i n t h i s a r e a TURN OVER
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e. i. Find an antiderivative of ga in terms of a. 1 mark 2021 MATHMETH EXAM 2 26 d o n o t w r i t e i n t h i s a r e a
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ii. Use a definite integral to show that the area bounded by ga and the x-axis over the interval [0, 2aπ] is equal above and below the x-axis for all values of a. 3 marks
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Report-based difficulty · MediumAverage marks: 40% of available · official reportFull marks: 36% of students · official report
b. Using d x x dx x x x e 2 log ( ) log ( ) , show that x loge (x) has an antiderivative x x x e 2 2 2 4 log ( ) − . 1 mark
Search excerpt only. Open the original question for exact equations and diagrams.Source: 2020 Mathematical Methods exam 1 · Report: 2020 Mathematical Methods exam 1 reportSection A, Question 15
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Estimated difficulty · Easy
Question 15 Part of the graph of a function f, where a > 0, is shown below. O (–2a, 2a) (0, –a) (a, a) f y x The average value of the function f over the interval [–2a, a] is A. 0
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ii. Write down a definite integral that will give the total area of the shaded regions in the graph above. 1 mark
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ii. Find an antiderivative of f (x). 1 mark
Search excerpt only. Open the original question for exact equations and diagrams.Source: 2019 Mathematical Methods exam 1Question 8(c)Question part (c)
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Report-based difficulty · EasyAverage marks: 70% of available · official reportFull marks: 63% of students · official report
c. Write down a definite integral that gives the value of A. 1 mark
Search excerpt only. Open the original question for exact equations and diagrams.Source: 2018 Mathematical Methods exam 1 · Report: 2018 Mathematical Methods exam 1 reportSection A, Question 17
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Question 17 If F(x) is an antiderivative of f (x) and F(4) = –6, then F(8) is equal to A. f ′(8) + 6 B. –6 + f ′(4) C. ∫4 8 f x dx ( ) D. − + ( ) ∫ 6 4 f x dx ( ) E. − + ∫ 6 4
Search excerpt only. Open the original question for exact equations and diagrams.Source: 2018 VCE (NHT) Mathematical Methods examination 2How to use ClassConnect past exam questions
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