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 20
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Question 20 Let X and Y be independent normal random variables with E(X ) = 15, E(Y ) = 25, Var (X ) = 16 and Var (Y ) = 9. Let Q be the random variable such that Q = cX + 2Y. Give
Search excerpt only. Open the original question for exact equations and diagrams.Source: 2026 VCE (NHT) Specialist Mathematics examination 2 (PDF, 1.24 MB)Section A, Question 20(d)Question part (d)
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Search excerpt only. Open the original question for exact equations and diagrams.Source: 2026 VCE (NHT) Specialist Mathematics examination 2 (PDF, 1.24 MB)Section B, Question 1
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Question 1 Consider the following statement. ‘If the temperature is 35 °C or more, then the students do not play sport.’ The contrapositive of this statement is A. if the temperatu
Search excerpt only. Open the original question for exact equations and diagrams.Source: 2026 VCE (NHT) Specialist Mathematics examination 2 (PDF, 1.24 MB)Section B, Question 1(a)Question part (a)
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a. Express f (x) in the form Ax B Cx x 4 2 , where A, B, C ∈ R. 1 mark
Search excerpt only. Open the original question for exact equations and diagrams.Source: 2026 VCE (NHT) Specialist Mathematics examination 2 (PDF, 1.24 MB)Section B, Question 1(b)Question part (b)
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b. State the equations of the straight-line asymptotes of the graph of f. 1 mark
Search excerpt only. Open the original question for exact equations and diagrams.Source: 2026 VCE (NHT) Specialist Mathematics examination 2 (PDF, 1.24 MB)Section B, Question 1(c)Question part (c)
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c. Find f ′(x). 1 mark Section B
Search excerpt only. Open the original question for exact equations and diagrams.Source: 2026 VCE (NHT) Specialist Mathematics examination 2 (PDF, 1.24 MB)Section B, Question 1(d)Question part (d)
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d. i. State the coordinates of any turning points of the graph of f. 1 mark
Search excerpt only. Open the original question for exact equations and diagrams.Source: 2026 VCE (NHT) Specialist Mathematics examination 2 (PDF, 1.24 MB)Section B, Question 1(d)(ii)Question part (d)(ii)
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ii. The graph of f has a stationary point of inflection. State the coordinates of this point of inflection. 1 mark
Search excerpt only. Open the original question for exact equations and diagrams.Source: 2026 VCE (NHT) Specialist Mathematics examination 2 (PDF, 1.24 MB)Section B, Question 1(e)Question part (e)
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e. Sketch the graph of f, including asymptotes, on the axes below. Label the following features: • the straight-line asymptotes with their equations • any turning points and points
Search excerpt only. Open the original question for exact equations and diagrams.Source: 2026 VCE (NHT) Specialist Mathematics examination 2 (PDF, 1.24 MB)Section B, Question 1(f)Question part (f)
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f. Now consider the function fk with rule f x x x k x k ( ) 3 2 2 2 8 2 , where k ∈ R. For what value(s) of k will the graph of f k have only one straight-line asymptote? 1 mark
Search excerpt only. Open the original question for exact equations and diagrams.Source: 2026 VCE (NHT) Specialist Mathematics examination 2 (PDF, 1.24 MB)Section B, Question 1(g)Question part (g)
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g. Next, consider the function fb with rule f x x bx x b ( ) 3 2 2 8 2 4 , where b ∈ R.
Search excerpt only. Open the original question for exact equations and diagrams.Source: 2026 VCE (NHT) Specialist Mathematics examination 2 (PDF, 1.24 MB)Section B, Question 1(g)(i)Question part (g)(i)
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i. Find the equation of the oblique asymptote of the graph of f b. 1 mark
Search excerpt only. Open the original question for exact equations and diagrams.Source: 2026 VCE (NHT) Specialist Mathematics examination 2 (PDF, 1.24 MB)How to use ClassConnect past exam questions
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