VCE Past Exam Questions
Search 14,316 indexed VCE questions and parts across 19 subjects. Filter by topic, year, sitting and paper, then open the original source.
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Section A, Question 6
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Question 6 The graph of y = 2x - 1 + 3 is reflected in the line y = x. The rule for the image is A. y = log 2 (2x - 6) B. y = log 2 (2x - 3) C. y = log 2 (3 - x) + 1 D. y = log 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 7
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Question 7 Consider the continuous functions f : [0, 2] → R and g : [0, 2] → R, whose graphs are drawn to scale below. x y 1 −1 1 2 y = f (x) y = g (x) O There is a value of x for
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 8
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Question 8 The following sequence of steps is an attempt to solve the exponential equation 3 4 3 x . The sequence of steps contains at least one error. Step 1 Take a logarithm of 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 9
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Question 9 A straight line is tangent to the graphs of both y = x2 + 4x and y = (x + 5)2 - 4. The gradient of this line is A. - 4 B. 0 C. 4 D. 5
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 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)How to use ClassConnect past exam questions
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