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 Parts of the graphs of two functions, f (x) = x and g(x) = cos(x), are shown below, where x is measured in radians. f (x) = x g(x) = cos(x) P y x 0.6 0.8 O The pseudoco
Search excerpt only. Open the original question for exact equations and diagrams.Source: 2024 VCE (NHT) Mathematical Methods examination 2Section A, Question 15
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Question 15 The finance team at a small technology company estimates that the production cost per item is given by the rule C n n n n ( ) . . 0 5 37 5 1900 1250 2 , where n ∈ Z + a
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Report-based difficulty · MediumAverage marks: 53% of available · official reportAnswered correctly: 53% · official report
Question 15 The points of inflection of the graph of y = 2 tan (+ (x A.
Search excerpt only. Open the original question for exact equations and diagrams.Source: 2024 VCE Mathematical Methods 2 examination · Report: 2024 VCE Mathematical Methods 2 external assessment report (DOCX, 860.29 KB)Section A, Question 16
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Report-based difficulty · DifficultAverage marks: 36% of available · official reportAnswered correctly: 36% · official report
Question 16 Suppose that a differentiable function f: R —> R and its derivative /: R — R satisfy f(4) = 25 and fr@)=15. Determine the gradient of the tangent line to the graph of y
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Question 16 The values for two continuous functions, f and g, and their derivatives are given in the tables below. x = 0 x = 2 x = 0 x = 2 f (x) 2 −1 g(x) 1 −1 f ′(x) −1 2 g′(x) 0
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Report-based difficulty · DifficultAverage marks: 27% of available · official reportAnswered correctly: 27% · official report
Question 17 Consider the algorithm below, which prints the roots of the cubic polynomial f(x) = x* — 2x> — 9x + 18. define f(x) return (x - 2 c « £(0) if c < 0 then c € (0) end if
Search excerpt only. Open the original question for exact equations and diagrams.Source: 2024 VCE Mathematical Methods 2 examination · Report: 2024 VCE Mathematical Methods 2 external assessment report (DOCX, 860.29 KB)Section A, Question 17
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Question 17 Suppose that for three events, A, B and C, Pr( | ) Pr( | ) Pr( ) A B C B C = = 1 and . Which of the following statements about A, B and C must be true? A. Pr(A) = 1 B.
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Question 18 Let f R f x ax : [ , ] , ( ) cos 0 2 6 , where a > 0. There is a unique solution to f (x) = 1 and a unique solution to f (x) = −1. The minimum possible value of a is A.
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Report-based difficulty · MediumAverage marks: 58% of available · official reportAnswered correctly: 58% · official report
Question 18 Find the value of x which maximises the area of the trapezium below. > x x x A. 10 B. 52 C7 o S D. io H ° 2
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Question 19 Let f : R → R be a continuous and differentiable function. Part of the graph of f is shown below. The stationary points of f are at 1 1 , ( ) f and 3 3 , ( ) f . ( ) 3,
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Report-based difficulty · MediumAverage marks: 57% of available · official reportAnswered correctly: 57% · official report
Question 19 5 Consider the normal random variable X that satisfies Pr (X < 10) = 0.2 and Pr (X > 18) = 0.2 Ee The value of Pr (X < 12) is closest to = [3 A. 0.134 » B. 0297 4 C. 03
Search excerpt only. Open the original question for exact equations and diagrams.Source: 2024 VCE Mathematical Methods 2 examination · Report: 2024 VCE Mathematical Methods 2 external assessment report (DOCX, 860.29 KB)Section A, Question 20
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Report-based difficulty · MediumAverage marks: 41% of available · official reportAnswered correctly: 41% · official report
Question 20 The function f': R — R has an average value & on the interval [0, 2] and satisfies /(x) = f(x +2) for 6 allx € R. The value of the definite integral I, fds is A. B. C.
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