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.
Section A, Question 20
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Question 20 Let a > 1, and consider the functions f and g defined below. f R R f x a x : , ( ) g R R g x a x : , ( ) 2 2 Which one of the following sequences of transformations, wh
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 20
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Question 20 In the xy-plane, there is a system of two linear equations with a unique solution and another system of two linear equations with infinitely many solutions. These four
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 20(b)Question part (b)
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Section B
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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 1
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Question 1 (12 marks) Consider the function g : R — R, g (x) = (= 1)(x + 1)>.
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Question 1 (13 marks) Let g R R : → be defined by g x x x ( ) 4 33 4.
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a. Find the x-value of the stationary point of inflection of the graph of y= g (x). 1 mark
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a. Find the coordinates of both stationary points of g. 2 marks
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b. Sketch the graph of y g x = ( ) on the axes below, labelling the stationary points and axial intercepts with their coordinates. 2 marks 1 −1 −2 2 1 −1 −2 2 x y O Section B
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b. Find the coordinates of the local minimum of the graph of y = g (x). 1 mark
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c. Complete the following gradient table with appropriate values of x and g' x ( ) to show that g has a stationary point of inflection. 2 marks x g′(x)
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c. Find the average rate of change of g (x) between x = 0 and x = 2. 1 mark
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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