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 8(a)Question part (a)
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Estimated difficulty · Easy
a. Based on the graphs above, state one reason why the graph of y = g(x) is not the graph of y = f ′(x). 1 mark
Search excerpt only. Open the original question for exact equations and diagrams.Source: 2023 VCE (NHT) Mathematical Methods examination 1Question 8(a)Question part (a)
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Report-based difficulty · MediumAverage marks: 40% of available · official reportFull marks: 43% of students · official report
a. Show that k = 1 64 . 1 mark
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b. Determine the equation of g(x) given that g′(x) = f (x). 3 marks 2023 MATHMETH EXAM 1 (NHT) 12 D O N O T W R I T E I N T H I S A R E A
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Report-based difficulty · MediumAverage marks: 40% of available · official reportFull marks: 26% of students · official report
b. Find E(T ). 2 marks 11 2023 MATHMETH EXAM 1 TURN OVER d o n o t w r i t e i n t h i s a r e a
Search excerpt only. Open the original question for exact equations and diagrams.Source: 2023 VCE Mathematical Methods 1 examination · Report: 2023 VCE Mathematical Methods 1 external assessment reportQuestion 8(c)Question part (c)
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Estimated difficulty · Medium
c. Some functions have the property f (x) = f (−x) for all x ∈ R. Show that when two functions, m and n, have this property, the function k(x) = m(x) + n(x) also has this property.
Search excerpt only. Open the original question for exact equations and diagrams.Source: 2023 VCE (NHT) Mathematical Methods examination 1Question 8(c)Question part (c)
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Report-based difficulty · DifficultAverage marks: 23.3% of available · official reportFull marks: 11% of students · official report
c. What is the probability that a person has to queue for more than two minutes, given that they have already queued for one minute? 3 marks 2023 MATHMETH EXAM 1 12 D O N O T W R I
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Question 9 – continued Question 9 (6 marks) The shapes of two walking tracks are shown below. P y x track 1 track 2 O Track 1 is described by the function f (x) = a − x(x − 2)2. Tr
Search excerpt only. Open the original question for exact equations and diagrams.Source: 2023 VCE Mathematical Methods 1 examinationQuestion 9(a)Question part (a)
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Report-based difficulty · EasyAverage marks: 90% of available · official reportFull marks: 90% of students · official report
a. Given that f (0) = 12 and g(1) = 9, verify that a = 12 and b = −3. 1 mark 13 2023 MATHMETH EXAM 1 D O N O T W R I T E I N T H I S A R E A Question 9 – continued TURN OVER
Search excerpt only. Open the original question for exact equations and diagrams.Source: 2023 VCE Mathematical Methods 1 examination · Report: 2023 VCE Mathematical Methods 1 external assessment reportQuestion 9(b)Question part (b)
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Report-based difficulty · MediumAverage marks: 50% of available · official reportFull marks: 30% of students · official report
b. Verify that f (x) and g(x) both have a turning point at P. Give the co-ordinates of P. 2 marks 2023 MATHMETH EXAM 1 14 D O N O T W R I T E I N T H I S A R E A
Search excerpt only. Open the original question for exact equations and diagrams.Source: 2023 VCE Mathematical Methods 1 examination · Report: 2023 VCE Mathematical Methods 1 external assessment reportSection A, Question 1
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Question 1 The amplitude, A, and the period, P, of the function f x x ( ) ) 1 2 sin (3 2 are A. A P 2 3 , B. A P 2 3 C. A P D. A P E. A P
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Question 1 The period of the function y x 3 2 3 1 sin is A. π 2 B. C. 2 D. 3 E. 3
Search excerpt only. Open the original question for exact equations and diagrams.Source: 2023 VCE (NHT) Mathematical Methods examination 2Section A, Question 2
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Question 2 Let f t t t t ( ) 1 3 2 50 3 2 . The instantaneous rate of change of f when t = 1 is A. 247.5 B. 50.2 C. 50.0 D. –13.8 E. –22.0
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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