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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Question 7(a)Question part (a)
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a. Find the coordinates of any points on the curve that have a vertical tangent. 2 marks
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b. Find the Cartesian equation of the curve. 1 mark
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Question 8 (3 marks) Given that f ′(x) = 4x3 loge (2x) and f 1 2 0 , find f (x).
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Question 9 (6 marks) The asymptotes of the graph of f x x x x x ( ) 2 3 3 2 2 2 3 2 are shown below. a. x = 1 1 –1 y O 2 3 – 6 4 2 – 2 – 4 P Find the equation of the parabolic asym
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b. Find the x-intercepts of the graph of f (x). 2 marks
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c. Given that there is a turning point, P, at approximately (−0.14, −1.03) as shown, sketch the graph of y = f (x) on the axes provided on page 8, labelling the y-intercept. 2 mark
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Question 10 (4 marks) Consider the family of complex polynomials P(z) = z4 + bz3 + cz2 + dz + 1, where b, c, d ∈ R. Given that P(i) = 0, and that P(z) = 0 has three distinct soluti
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Question 11 (4 marks) Consider the two planes 2x + y + z = 4 and px + (p + 1)y + 2z = 1, where p ∈ R. Given that the acute angle between the two planes is 60°, find all possible va
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Question 3 Consider the following algorithm to estimate the area of a certain surface of revolution. define f(x) return x2 1 + sum 🡠 0 left 🡠 0 while left ≤ 1 area 🡠 2π × f f f
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Question 4 For m > 1, how many vertical asymptotes does the graph of f x x x m x m ( ) 1 3 2 2 2 have? A. 0 B. 1 C. 2 D. 3
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Question 5 Consider the circle given by | z - 2 - i | = 3, where z ∈ C. The maximum value of | z | for those points that lie on this circle is A. 2 2 2 + B. 3 5 + C. 1 5 + D. 3 5 -
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 6
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Question 6 Consider the Argand diagram below. –2 –1 1 2 Re(z) Im(z) π 6 O 1 2 The shaded region is best described by A. z z z z : : ( ) 1 2 3 2 arg B. z z z z : : ( ) 1 2 6 3 C. z
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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