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: 0% of available · official reportFull marks: 2% of students · official report
g. Find the greatest possible minimum value of ga. 1 mark MATHEMATICAL METHODS Written examination 2
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Estimated difficulty · Medium
g. Parts of the graphs of p and q are shown below for when a = 100. y O –1 1 x p q The shaded area is bounded by the graphs of p and q. Find the smallest value, b, such that the sh
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Estimated difficulty · Medium
d. Let g : (a, ∞) → R, g(x) = f (x) + k for k ∈ R. MATHEMATICAL METHODS Written examination 1
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Report-based difficulty · EasyAverage marks: 80% of available · official reportFull marks: 80% of students · official report
b. Express f x x x ( ) ( ) ( ) = + − 1 4 2 2 2 2 in the form f x x bx c ( ) = + + 4 4 2 , where b and c are integers. 1 mark Instructions for Section B Answer all questions in the
Search excerpt only. Open the original question for exact equations and diagrams.Source: 2020 Mathematical Methods exam 2 · Report: 2020 Mathematical Methods exam 2 reportSection B, Question 5(h)Question part (h)
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Report-based difficulty · DifficultAverage marks: 2% of available · official reportFull marks: 2% of students · official report
h. Let T R R T x y m n x h k : , 2 2 0 0 → = + , where m, n ∈ R\{0} and h, k ∈ R. State any restrictions on the values of m, n, h and k, given t
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Estimated difficulty · Difficult
c. Hence, or otherwise, find the value of k for which Pr(W = k) is the greatest. 2 marks MATHEMATICAL METHODS Written examination 1
Search excerpt only. Open the original question for exact equations and diagrams.Source: 2019 VCE (NHT) Mathematical Methods examination 1Question 9(b)Question part (b)
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Report-based difficulty · DifficultAverage marks: 35% of available · official reportFull marks: 22% of students · official report
b. Find the values of x for which the derivative of g f x ( ) ( ) is negative. 2 marks
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Report-based difficulty · MediumAverage marks: 45% of available · official reportFull marks: 30% of students · official report
e. Find the coordinates of the stationary point of the graph of f g x ( ) ( ). 2 marks
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Report-based difficulty · DifficultAverage marks: 20% of available · official reportFull marks: 19% of students · official report
f. State the number of solutions to g f x f g x ( ) ( ) ( ) + ( ) = 0. 1 mark
Search excerpt only. Open the original question for exact equations and diagrams.Source: 2019 Mathematical Methods exam 1 · Report: 2019 Mathematical Methods exam 1 reportSection A, Question 13
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Estimated difficulty · Easy
Question 13 The graph of f (x) = x3 – 6(b – 2)x2 + 18x + 6 has exactly two stationary points for A. 1 < b < 2 B. b = 1 C. b = ± 4 6 2 D. 4 6 4 6 − ≤ ≤ + b E. b b < − > + 4 6 or
Search excerpt only. Open the original question for exact equations and diagrams.Source: 2019 VCE (NHT) Mathematical Methods examination 2Section B, Question 1(b)Question part (b)
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Estimated difficulty · Easy
b. i. State the nature of the stationary point on the graph of f at the origin. 1 mark Instructions for Section B Answer all questions in the spaces provided. Write using blue or b
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Estimated difficulty · Medium
g. Find the value of k, k > 0, for which the tangent to the graph of p at its y-intercept and the tangent to the graph of q at its x-intercept are parallel. 1 mark MATHEMATICAL MET
Search excerpt only. Open the original question for exact equations and diagrams.Source: 2019 VCE (NHT) Mathematical Methods examination 2How to use ClassConnect past exam questions
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