VCE Specialist Mathematics Past Exam Questions
Browse VCE Specialist Mathematics exam questions from 2015–2026, including NHT and VCE papers. Filter by topic, year and paper; open the original source.
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Section A, Question 2
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Report-based difficulty · MediumAverage marks: 59% of available · official reportAnswered correctly: 59% · official report
Question 2 The graph of y x ax bx c 3 2 has asymptotes given by y = 2x + 1 and x = 1. The values of a, b and c are, respectively A. 2, −4, 2 B. 1 2 1 4 , , − − C. 1 , , − D. 1 E. 2
Search excerpt only. Open the original question for exact equations and diagrams.Source: 2023 VCE Specialist Mathematics examination 2 · Report: 2023 VCE Specialist Mathematics 2 external assessment reportSection A, Question 2
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Estimated difficulty · Easy
Question 2 Let f (x) = arcsin(x) and g(x) = ax + b, where a, b ∈ R. The graph of y f g x ( ) is shown below. O 2 π 4 –1 1 2 3 y x − The values of a and b are, respectively A. 1 2 a
Search excerpt only. Open the original question for exact equations and diagrams.Source: 2023 VCE (NHT) Specialist Mathematics examination 2Section A, Question 2(e)Question part (e)
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Estimated difficulty · Easy
Instructions for Section A Answer all questions in pencil on the answer sheet provided for multiple-choice questions. Choose the response that is correct for the question. A correc
Search excerpt only. Open the original question for exact equations and diagrams.Source: 2023 VCE (NHT) Specialist Mathematics examination 2Section A, Question 3
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Estimated difficulty · Easy
Question 3 The graph of the relation f x x x ( ) 1 1 2 does not have a A. domain of R\{−1, 1}. B. horizontal asymptote. C. vertical asymptote. D. vertical axis intercept. E. local
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Report-based difficulty · EasyAverage marks: 72% of available · official reportAnswered correctly: 72% · official report
Question 3 In the interval − π ≤ x ≤ π, the graph of y = a + sec(x), where a ∈ R, has two x-intercepts when A. 0 ≤ a ≤ 1 B. −1 < a < 1 C. a ≤ −1 or a > 1 D. −1 ≤ a < 0 E. a < −1 or
Search excerpt only. Open the original question for exact equations and diagrams.Source: 2023 VCE Specialist Mathematics examination 2 · Report: 2023 VCE Specialist Mathematics 2 external assessment reportSection A, Question 3(e)Question part (e)
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Estimated difficulty · Easy
Instructions for Section A Answer all questions in pencil on the answer sheet provided for multiple-choice questions. Choose the response that is correct for the question. A correc
Search excerpt only. Open the original question for exact equations and diagrams.Source: 2023 VCE Specialist Mathematics examination 2Section A, Question 4
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Estimated difficulty · Medium
Question 4 If z = a + bi, where a, b ∈ R and a > b > 0, then Arg z i z is equal to A. 3 4 B. C. 3 or π D. E. 5
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Report-based difficulty · MediumAverage marks: 62% of available · official reportAnswered correctly: 62% · official report
Question 4 If z = − (2a + 1) + 2ai, where a is a non-zero real constant, then 4 1 a z + is equal to A. 2 4 cis B. 2 3 4 C. cis D. 2 3 cis E. cis
Search excerpt only. Open the original question for exact equations and diagrams.Source: 2023 VCE Specialist Mathematics examination 2 · Report: 2023 VCE Specialist Mathematics 2 external assessment reportSection A, Question 5
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Estimated difficulty · Easy
Question 5 z = 2 + 4i is a root of the equation z3 + pz2 + qz + 5 = 0, where p, q ∈ R. The real root of the equation is A. −4 B. − 1 4 C. 1 D. 4 E. 20 2023 SPECMATH EXAM 2 (NHT) 4
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Report-based difficulty · DifficultAverage marks: 34% of available · official reportAnswered correctly: 34% · official report
Question 5 Let z be a complex number where Re(z) > 0 and Im(z) > 0. Given z = 4 and arg(z3) = − π , then z2 is equivalent to A. 4z B. −2z C. 3z D. z 2 E. −4z
Search excerpt only. Open the original question for exact equations and diagrams.Source: 2023 VCE Specialist Mathematics examination 2 · Report: 2023 VCE Specialist Mathematics 2 external assessment reportSection A, Question 6
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Report-based difficulty · MediumAverage marks: 69% of available · official reportAnswered correctly: 69% · official report
Question 6 Consider the following pseudocode. define f(x,y)=e xy x0 y0 h0.5 n0 while n≥0 yy+h×f(x,y) xx+h nn+1 print y end while After how many iterations will the pseudocod
Search excerpt only. Open the original question for exact equations and diagrams.Source: 2023 VCE Specialist Mathematics examination 2 · Report: 2023 VCE Specialist Mathematics 2 external assessment reportSection A, Question 6
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Estimated difficulty · Medium
Question 6 The set S consists of all points on the complex plane that are equidistant from the points represented by 1 + 2i and −2 + i. The set S expressed in Cartesian form is A.
Search excerpt only. Open the original question for exact equations and diagrams.Source: 2023 VCE (NHT) Specialist Mathematics examination 2How to use ClassConnect past exam questions
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