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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Question 4(b)(ii)Question part (b)(ii)
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Report-based difficulty · EasyAverage marks: 70% of available · official reportFull marks: 71% of students · official report
ii. Find E( ) X . 1 mark
Search excerpt only. Open the original question for exact equations and diagrams.Source: 2025 VCE Mathematical Methods examination 1 (PDF, 873.59 KB) · Report: 2025 VCE Mathematical Methods 1 external assessment report (DOCX, 11.15 MB)Question 5
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Estimated difficulty · Medium
Question 5 (4 marks) Let/:R—>R,f(x)=e"andg:R > R, gx) =e" +2.
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Report-based difficulty · EasyAverage marks: 75% of available · official reportFull marks: 61% of students · official report
a. Solve e ex x 2 8 7 0 for x. 2 marks
Search excerpt only. Open the original question for exact equations and diagrams.Source: 2025 VCE Mathematical Methods examination 1 (PDF, 873.59 KB) · Report: 2025 VCE Mathematical Methods 1 external assessment report (DOCX, 11.15 MB)Question 5(a)Question part (a)
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Estimated difficulty · Easy
a. Find the x-value of the point of intersection of the graphs of y = f(x) and y = g(x). 2 marks
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Estimated difficulty · Easy
b. Find the x-value where the graphs of y= (x) and y = g(x — 1) have equal gradients. 2 marks Id I ® 2 £ 8 H ° = o [=]
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Report-based difficulty · MediumAverage marks: 50% of available · official reportFull marks: 43% of students · official report
b. Let g x e ex x ( ) 2 8 7, where x R ∈ . The function g x ( ) has exactly one stationary point, a local minimum. Find the largest value of a such that when g is restricted to the
Search excerpt only. Open the original question for exact equations and diagrams.Source: 2025 VCE Mathematical Methods examination 1 (PDF, 873.59 KB) · Report: 2025 VCE Mathematical Methods 1 external assessment report (DOCX, 11.15 MB)Question 6
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Estimated difficulty · Easy
Question 6 (3 marks) Consider the binomial random variable X ~ , Bi 6 1 4 .
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Estimated difficulty · Medium
Question 6 (4 marks) A high jumper has up to three attempts to jump over a bar at a specific height. Once one attempt is successful, the high jumper does not make another attempt a
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Estimated difficulty · Easy
a. Let be a discrete random variable representing the number of attempts the high jumper makes at this height.
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Estimated difficulty · Easy
i. Complete the table below for the probability distribution of N. 1 mark n 1 2 3 Pr(N=n) 0.6
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Estimated difficulty · Easy
ii. Find E(V), the mean number of attempts the high jumper makes at this height. 1 mark
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Report-based difficulty · MediumAverage marks: 50% of available · official reportFull marks: 34% of students · official report
b. Determine Pr ( ) X ≥ 5 . Give your answer in the form a b 2 , where a b Z , ∈ . 2 marks
Search excerpt only. Open the original question for exact equations and diagrams.Source: 2025 VCE Mathematical Methods examination 1 (PDF, 873.59 KB) · Report: 2025 VCE Mathematical Methods 1 external assessment report (DOCX, 11.15 MB)How to use ClassConnect past exam questions
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