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 18
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Question 18 For two non-parallel planes I1; and I1,, the cross product of their respective normal vectors n, and n, A. will be parallel to both IT; and IT, B. isthe vector resolute
Search excerpt only. Open the original question for exact equations and diagrams.Source: 2025 VCE (NHT) Specialist Mathematics examination 2 (PDF, 5.7 MB)Section A, Question 18
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Report-based difficulty · MediumAverage marks: 49% of available · official reportAnswered correctly: 49% · official report
Question 18 The lines given by r i j k i j k 1 2 3 4 ( ) r and r i k i j k 2 ( ) s intersect at the point (4, 3, t ), where λ, m ∈ R and r, s and t are re
Search excerpt only. Open the original question for exact equations and diagrams.Source: 2025 VCE Specialist Mathematics examination 2 (PDF, 1.17 MB) · Report: 2025 VCE Specialist Mathematics 2 external assessment report (DOCX, 908.84 KB)Section A, Question 19
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Report-based difficulty · MediumAverage marks: 59% of available · official reportAnswered correctly: 59% · official report
Question 19 The plane with equation x + y + z = a, where a ∈ R, intersects the coordinate axes at three points that form the vertices of a triangle. The area of this triangle is gi
Search excerpt only. Open the original question for exact equations and diagrams.Source: 2025 VCE Specialist Mathematics examination 2 (PDF, 1.17 MB) · Report: 2025 VCE Specialist Mathematics 2 external assessment report (DOCX, 908.84 KB)Section A, Question 19
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Question 19 W is a random variable such that = aX + bY, where X and Y are independent random variables and a,b eR. Given that E(X) = 1, Var(X) = 1, E(Y) = 2, Var(¥) = 2, £( = Land
Search excerpt only. Open the original question for exact equations and diagrams.Source: 2025 VCE (NHT) Specialist Mathematics examination 2 (PDF, 5.7 MB)Section A, Question 20
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Report-based difficulty · MediumAverage marks: 54% of available · official reportAnswered correctly: 54% · official report
Question 20 Let P ~ , N 2 2 2 , Q ~ , N 3 32 , R ~ , N 5 6 2 and Z ~ , N( ) 0 1 . Given that P, Q and R are independent random variables, Pr 3 2 25 P Q R is equal to A. Pr Z 5 3 3
Search excerpt only. Open the original question for exact equations and diagrams.Source: 2025 VCE Specialist Mathematics examination 2 (PDF, 1.17 MB) · Report: 2025 VCE Specialist Mathematics 2 external assessment report (DOCX, 908.84 KB)Section A, Question 20
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Question 20 Certain electronic components have resistances that can be assumed to be normally distributed with a mean of 1000 ohms and a standard deviation of 20 ohms. Two independ
Search excerpt only. Open the original question for exact equations and diagrams.Source: 2025 VCE (NHT) Specialist Mathematics examination 2 (PDF, 5.7 MB)Section A, Question 20(d)Question part (d)
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Estimated difficulty · Easy
This page is blank. Examination continues on the next page.
Search excerpt only. Open the original question for exact equations and diagrams.Source: 2025 VCE Specialist Mathematics examination 2 (PDF, 1.17 MB)Section A, Question 20(d)Question part (d)
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Estimated difficulty · Easy
This page is blank. Id I ® 2 £ 8 H ° = o [=] Examination continues on the next page. Section B
Search excerpt only. Open the original question for exact equations and diagrams.Source: 2025 VCE (NHT) Specialist Mathematics examination 2 (PDF, 5.7 MB)Section B, Question 1
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Question 1 (10 marks) Consider the family of functions f with rule /(x) = constant. , where a is a real Question 1 continues on the next page.
Search excerpt only. Open the original question for exact equations and diagrams.Source: 2025 VCE (NHT) Specialist Mathematics examination 2 (PDF, 5.7 MB)Section B, Question 1(a)Question part (a)
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a. Write down the implied domain of / given that a # ~2. 1 mark
Search excerpt only. Open the original question for exact equations and diagrams.Source: 2025 VCE (NHT) Specialist Mathematics examination 2 (PDF, 5.7 MB)Section B, Question 1(a)Question part (a)
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Report-based difficulty · MediumAverage marks: 69.7% of available · official reportFull marks: 40.9% of students · official report
a. Sketch the graph of y x x x x ( ) 3 23 on the axes below. Label the asymptotes with their equations, and label the turning point and the point of inflection with their coordinat
Search excerpt only. Open the original question for exact equations and diagrams.Source: 2025 VCE Specialist Mathematics examination 2 (PDF, 1.17 MB) · Report: 2025 VCE Specialist Mathematics 2 external assessment report (DOCX, 908.84 KB)Section B, Question 1(b)Question part (b)
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b. The rule for f can be written as (x) =x + a + g(x). +2 1 ars 2 marks
Search excerpt only. Open the original question for exact equations and diagrams.Source: 2025 VCE (NHT) Specialist Mathematics examination 2 (PDF, 5.7 MB)How to use ClassConnect past exam questions
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