VCE Mathematical Methods Past Exam Questions
Browse VCE Mathematical Methods exam questions from 2015–2026, including NHT and VCE papers. Filter by topic, year and paper; open the original source.
Matching results: 114 indexed questions and parts.
Question 9(b)Question part (b)
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Report-based difficulty · DifficultAverage marks: 30% of available · official reportFull marks: 35% of students · official report
b. For x in the interval (0, 1), show that the gradient of the tangent to the graph of f is 1 3 2 − x x . 1 mark 2017 MATHMETH EXAM 1 12
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Estimated difficulty · Medium
d. Find the coordinates of C when θ = 45°. 4 marks MATHEMATICAL METHODS Written examination 1
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Estimated difficulty · Easy
Question 2 Part of the graph of a cubic polynomial function f and the coordinates of its stationary points are shown below. O 5 50 –50 –6 (–3, 36) x y 5 400 , 3 27 − f
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Estimated difficulty · Easy
iii. Find the values of x for which the gradient of the tangent to the graph of y = f (x) is equal to the gradient of the line segment joining the points on the graph where x = 1 a
Search excerpt only. Open the original question for exact equations and diagrams.Source: 2017 VCE (NHT) Mathematical Methods examination 2Section B, Question 2(d)Question part (d)
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Estimated difficulty · Easy
d. The coordinates of the stationary points of g are P(2, 0) and Q(p(a + 1), q(a – 2)3 ), where p and q are rational numbers. Find the values of p and q. 2 marks 2017 MATHMETH EXAM
Search excerpt only. Open the original question for exact equations and diagrams.Source: 2017 VCE (NHT) Mathematical Methods examination 2Section B, Question 2(e)Question part (e)
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Estimated difficulty · Medium
e. Show that the gradient of the tangent to the graph of y = g (x) at the point (a, 0) is positive for a ∈ R\{2}. 1 mark
Search excerpt only. Open the original question for exact equations and diagrams.Source: 2017 VCE (NHT) Mathematical Methods examination 2Section B, Question 4(f)Question part (f)
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Estimated difficulty · Medium
f. A trapezium ODBX is formed with vertices at O, X(16, 0), B(b, f (b)) and D(a, f (a)), as shown in the diagram below, where DB is parallel to OX. O X(16, 0) D(a, f (a)) B(b, f (b
Search excerpt only. Open the original question for exact equations and diagrams.Source: 2017 VCE (NHT) Mathematical Methods examination 2Section B, Question 4(h)Question part (h)
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Estimated difficulty · Medium
h. The lines L1 and L2 are the tangents at the origin to the graphs of gk and gk –1 respectively. Find the value(s) of k for which the angle between L1 and L2 is 30°. 2 marks MATHE
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Estimated difficulty · Medium
iv. Find the coordinates of the stationary point of h and state its nature. 2 marks
Search excerpt only. Open the original question for exact equations and diagrams.Source: 2016 Mathematical Methods exam 1Question 8(b)Question part (b)
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Estimated difficulty · Medium
b. i. Calculate Pr . X e > 1 2 marks MATHEMATICAL METHODS Written examination 1
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Report-based difficulty · EasyAverage marks: 90% of available · official reportFull marks: 87% of students · official report
b. State the rule for the derivative function f ′. 1 mark
Search excerpt only. Open the original question for exact equations and diagrams.Source: 2016 Mathematical Methods exam 2 · Report: 2016 Mathematical Methods exam 2 reportSection B, Question 2(a)(ii)Question part (a)(ii)
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Estimated difficulty · Easy
ii. Find the values of x for which the graph of y = g (x) has a stationary point. 1 mark
Search excerpt only. Open the original question for exact equations and diagrams.Source: 2016 Mathematical Methods exam 2How to use ClassConnect past exam questions
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