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.
Section B, Question 5(g)Question part (g)
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Report-based difficulty · DifficultAverage marks: 10% of available · official reportFull marks: 5% of students · official report
g. Find the value of the acute angle between the tangent to the graph of f and the tangent to the graph of f –1 at x = 1. 1 mark
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Report-based difficulty · MediumAverage marks: 60% of available · official reportFull marks: 30% of students · official report
Question 2 (3 marks) The derivative with respect to x of the function f : (1, ∞) → R has the rule ′ = − − ( ) f x x ( ) 1 2 1 2 2 Given that f (2) = 0, find f (x) in terms of x.
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Estimated difficulty · Medium
c. Find the value of b for which the area of the shaded region is a maximum and find this maximum area. 2 marks MATHEMATICAL METHODS Written examination 1
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Report-based difficulty · DifficultAverage marks: 10% of available · official reportFull marks: 4% of students · official report
d. Let f : [0, 3π] → R, f (x) = (3π – x) sin (x) and g : [0, 3π] → R, g (x) = (x – 3π) sin (x). The line l1 is the tangent to the graph of f at the point π π 2 5 , and t
Search excerpt only. Open the original question for exact equations and diagrams.Source: 2018 Mathematical Methods exam 1 · Report: 2018 Mathematical Methods exam 1 reportSection A, Question 5
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Estimated difficulty · Easy
Question 5 Consider f x x p x ( ) , = +2 x ≠ 0, p ∈ R. There is a stationary point on the graph of f when x = –2. The value of p is A. –16 B. –8 C. 2 D. 8 E. 16
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Estimated difficulty · Easy
h. i. Find the values of a for which p has only one stationary point. 1 mark 13 2018 MATHMETH EXAM 2 TURN OVER CONTINUES OVER PAGE 2018 MATHMETH EXAM 2 14
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Estimated difficulty · Easy
iii. If p has only one stationary point, find the values of a for which p(x) = 0 has no solutions. 2 marks
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Estimated difficulty · Medium
e. Part of the graph of f, with the tangent to the graph at P where x e = 1 2 , is shown below. E is the point corresponding to the x-axis intercept of this tangent. F is the point
Search excerpt only. Open the original question for exact equations and diagrams.Source: 2018 VCE (NHT) Mathematical Methods examination 2Section B, Question 5(g)Question part (g)
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Report-based difficulty · DifficultAverage marks: 10% of available · official reportFull marks: 3% of students · official report
g. Find the area enclosed by the graphs of g and g–1 when they have the same endpoints. 1 mark
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Examiner-report difficulty · Easy
a. Let f : (–2, ∞) → R, f (x) = x x + 2 . Differentiate f with respect to x. 2 marks
Search excerpt only. Open the original question for exact equations and diagrams.Source: 2017 Mathematical Methods exam 1 · Report: 2017 Mathematical Methods exam 1 reportQuestion 3(b)Question part (b)
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Estimated difficulty · Easy
b. Sketch the graph of f on the axes below. Label the axis intercepts and any stationary points with their coordinates. 3 marks 6 4 2 O –1 –2 –3 –4 1 2 –2 –4 –6 x y 2017 MATHMETH E
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Estimated difficulty · Medium
c. Let g D R g x x c : , ( ) , → = + − 2 1 where D is the maximal domain of g and c is a real number. MATHEMATICAL METHODS Written examination 1
Search excerpt only. Open the original question for exact equations and diagrams.Source: 2017 VCE (NHT) Mathematical Methods examination 1How to use ClassConnect past exam questions
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