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.
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Section A, Question 14
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Question 14 Let f be the probability density function for a continuous random variable X, where f x k x x ( ) sin ( ) cos ( ) 0 4 4 2 0 otherwise and k is a positive real number. T
Search excerpt only. Open the original question for exact equations and diagrams.Source: 2025 VCE Mathematical Methods examination 2 (PDF, 1.13 MB)Section A, Question 14
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Question 14 Consider the functions (x) = log, (+* + 2x — 3) and g (x) = 2x +7, cach defined over its maximal domain. ‘The maximal domain of the product function r(x) = f(x) g (x) i
Search excerpt only. Open the original question for exact equations and diagrams.Source: 2025 VCE (NHT) Mathematical Methods examination 2 (PDF, 4.82 MB)Section A, Question 15
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Question 15 The graph of y g x = ( ) passes through the point (1, 3). The graph of y g x 1 2 3 ( ) must pass through the point A. (-1, -2) B. (2, -2) C. (-1, 2) D. (2, 2)
Search excerpt only. Open the original question for exact equations and diagrams.Source: 2025 VCE Mathematical Methods examination 2 (PDF, 1.13 MB)Section A, Question 15
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Question 15 The function g is differentiable over the domain R and satisfies g(2) =g(4) =a and g'(2) =g'(4) = b. Given that p(x) = g(x) g (2x). then p'(2) must be equal to A. ab B.
Search excerpt only. Open the original question for exact equations and diagrams.Source: 2025 VCE (NHT) Mathematical Methods examination 2 (PDF, 4.82 MB)Section A, Question 16
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Question 16 Let X be a normal random variable that satisfies Pr(X > 6) = Pr(X < 8) = Pr(Z < 0.5), where Z ~ N(0, 1) is the standard normal random variable. The standard deviation o
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Question 16 Consider the function h x a bx e ( ) log ( ) = , where a b R , \{ } ∈ 0 . Given that its derivative ′ h x ( ) has range (0, ∞), which of the following must be true? A.
Search excerpt only. Open the original question for exact equations and diagrams.Source: 2025 VCE Mathematical Methods examination 2 (PDF, 1.13 MB)Section A, Question 17
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Question 17 In a set of 10 products, six products are defective. Two products are randomly selected, without replacement, from the set of 10 products. It is known that at most one
Search excerpt only. Open the original question for exact equations and diagrams.Source: 2025 VCE (NHT) Mathematical Methods examination 2 (PDF, 4.82 MB)Section A, Question 17
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Question 17 Given that f R R : → satisfies f x dx f x dx ( ) ( ) 1 2 3 , the graph of y f x = ( ) could be A. B. C. D. 1 O 2 3 4 x y 1O2 3 4 Section A
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Question 18 Consider the algorithm below, which can be used to find an approximate solution to the equation log, (x) — B =0. define f(x) return log, (x) - x/3 a <4 b€ 6 for i from
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Question 18 Consider the following graphs, which represent probability mass functions. I II III IV Which pair of these probability mass functions has the same mean? A. I and II B.
Search excerpt only. Open the original question for exact equations and diagrams.Source: 2025 VCE Mathematical Methods examination 2 (PDF, 1.13 MB)Section A, Question 19
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Question 19 Let A be a point on the line y x c and B be a point on the curve y x e log ( ) 1 . If A and B are placed such that the line segment AB has the minimum possible length,
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Question 19 Let B and C be discrete random variables whose values are obtained from two rolls of a fair six-sided die. Let B be the number obtained on the first roll and C be the n
Search excerpt only. Open the original question for exact equations and diagrams.Source: 2025 VCE (NHT) Mathematical Methods examination 2 (PDF, 4.82 MB)How to use ClassConnect past exam questions
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