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 6(c)Question part (c)
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Estimated difficulty · Easy
c. Let g R R g x x : \ , ( ) 0 1 . Determine the rule of the function h such that the graph of y h g x ( ) 1 is identical to the graph of y = f (x). 2 marks 2023 MATHMETH EXAM 1 (N
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Estimated difficulty · Medium
Question 7 (6 marks) Let f (x) = loge(3 + 2x − x2).
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Estimated difficulty · Medium
Question 7 (7 marks) Consider f : (−∞, 1] → R, f (x) = x2 − 2x. Part of the graph of y = f (x) is shown below. y x 1 2 −1 O 1 2 3 3
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Examiner-report difficulty · Easy
a. State the range of f. 1 mark
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a. Find the implied domain of f. 3 marks
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b. Sketch the graph of the inverse function y = f −1(x) on the axes above. Label any endpoints and axial intercepts with their coordinates. 2 marks
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b. State the x-coordinate for the local maximum of f (x). 1 mark
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Report-based difficulty · MediumAverage marks: 50% of available · official reportFull marks: 21% of students · official report
c. Determine the equation and the domain for the inverse function f −1. 2 marks Question 7 – continued 9 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
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Estimated difficulty · Easy
c. Find the values of x when f (x) = 0. 2 marks 11 2023 MATHMETH EXAM 1 (NHT) 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 · DifficultAverage marks: 25% of available · official reportFull marks: 19% of students · official report
d. Calculate the area of the regions enclosed by the curves of f, f −1 and y = − x. 2 marks 2023 MATHMETH EXAM 1 10 D O N O T W R I T E I N T H I S A R E A
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Estimated difficulty · Difficult
Question 8 – continued Question 8 (6 marks) Suppose that the queuing time, T (in minutes), at a customer service desk has a probability density function given by f t kt t t ( ) ( )
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Estimated difficulty · Medium
Question 8 – continued TURN OVER Question 8 (8 marks) Consider the function f, where f R R f x x x : , ( ) sin( ) 1 3 2 , and a function g, where the domain of g is R but the equat
Search excerpt only. Open the original question for exact equations and diagrams.Source: 2023 VCE (NHT) Mathematical Methods examination 1How to use ClassConnect past exam questions
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