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 10
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Question 10 Let X ~ Bi (n, p), where 0.5 < p < 1. For a particular value of n, as p increases A. E (X ) increases and var (X ) increases. B. E (X ) increases and var (X ) decreases
Search excerpt only. Open the original question for exact equations and diagrams.Source: 2026 VCE (NHT) Mathematical Methods examination 2 (PDF, 1.3 MB)Section A, Question 11
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Question 11 Let f : R → R, f (x) = x2 + cx + ab g : R → R, g(x) = (x - a) 2 (x - b) where a, b, c ∈ R. Given that the graphs y = f (x) and y = g(x) have the same x-intercepts, whic
Search excerpt only. Open the original question for exact equations and diagrams.Source: 2026 VCE (NHT) Mathematical Methods examination 2 (PDF, 1.3 MB)Section A, Question 12
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Question 12 Consider the 10 functions, all with domain [0, 2 p] and defined as f n (x) = sin (n x), where n is an integer with 1 ≤ n ≤ 10. f1 (x) = sin (x), f2 (x) = sin (2x), f3 (
Search excerpt only. Open the original question for exact equations and diagrams.Source: 2026 VCE (NHT) Mathematical Methods examination 2 (PDF, 1.3 MB)Section A, Question 13
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Question 13 Which set of x-values is not a subset of the general solution to sin (2x) = 3 2 ? A. 2 3 k k Z , B. 3 2 k k Z , C. 5 6 D. 7 6 2
Search excerpt only. Open the original question for exact equations and diagrams.Source: 2026 VCE (NHT) Mathematical Methods examination 2 (PDF, 1.3 MB)Section A, Question 14
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Question 14 Consider the system of two linear equations below, where a and b are real numbers. Equation 1: 2x - 3y = 1 Equation 2: ax + by = 2 The system of two equations has no re
Search excerpt only. Open the original question for exact equations and diagrams.Source: 2026 VCE (NHT) Mathematical Methods examination 2 (PDF, 1.3 MB)Section A, Question 15
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Question 15 Consider a continuous function f : R → R, which has an average value of 2 over the interval [−1, 1]. Let g : R → R, g(x) = mf (n x) + c, where m, n and c are positive r
Search excerpt only. Open the original question for exact equations and diagrams.Source: 2026 VCE (NHT) Mathematical Methods examination 2 (PDF, 1.3 MB)Section A, Question 16
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Question 16 Let f : R → R, f x x x ( ) cos sin 6 3 . Let h : R → R be the result of applying the following sequence of transformations to f : 1. a dilation by a factor of 1 2 from
Search excerpt only. Open the original question for exact equations and diagrams.Source: 2026 VCE (NHT) Mathematical Methods examination 2 (PDF, 1.3 MB)Section A, Question 17
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Question 17 Suppose the graphs of the functions f : [0, 1] → R and g : [0, 1] → R are as shown below. x y 1.0 0.5 0.5 1.0 y = f (x) O x y = g(x) O The graph of y = ( f g)(x) is b
Search excerpt only. Open the original question for exact equations and diagrams.Source: 2026 VCE (NHT) Mathematical Methods examination 2 (PDF, 1.3 MB)Section A, Question 18
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Question 18 The graph of y = f ′(x) is shown below. x 1 −1 4 3 2 1 O −1 −2 −3 y The graph of y = f (x) could be A. B. C. D. 4 3 2 1 O −2 −3 Section A End of Section A
Search excerpt only. Open the original question for exact equations and diagrams.Source: 2026 VCE (NHT) Mathematical Methods examination 2 (PDF, 1.3 MB)Section A, Question 19
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Question 19 A basketball player has three attempts to score from the free throw line. If the player scores at least twice, they win the game. Assume that for each attempt, the prob
Search excerpt only. Open the original question for exact equations and diagrams.Source: 2026 VCE (NHT) Mathematical Methods examination 2 (PDF, 1.3 MB)Section A, Question 20
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Question 20 A soup company wishes to design a new can for its soup. The can must be in the shape of a cylinder with a fixed volume V cm3. In order to minimise costs, the company ch
Search excerpt only. Open the original question for exact equations and diagrams.Source: 2026 VCE (NHT) Mathematical Methods examination 2 (PDF, 1.3 MB)Section B, Question 1
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Question 1 (13 marks) A glass of water is placed in a refrigerator. The temperature of the water, in degrees Celsius, t hours after it is placed in the refrigerator is given by the
Search excerpt only. Open the original question for exact equations and diagrams.Source: 2026 VCE (NHT) Mathematical Methods examination 2 (PDF, 1.3 MB)How to use ClassConnect past exam questions
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