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 B, Question 2(f)(i)Question part (f)(i)
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i. Show that it is not possible for the graph of y F x = ( ) to pass through both (-12, 1) and (2, 8). 2 marks
Search excerpt only. Open the original question for exact equations and diagrams.Source: 2025 VCE Mathematical Methods examination 2 (PDF, 1.13 MB)Section B, Question 2(f)(ii)Question part (f)(ii)
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ii. The graph of y F x = ( ) can be dilated by a factor of m from the x-axis such that its image passes through both (-12, 1) and (2, 8). Find the values of m and c. 2 marks Sectio
Search excerpt only. Open the original question for exact equations and diagrams.Source: 2025 VCE Mathematical Methods examination 2 (PDF, 1.13 MB)Section B, Question 3
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Question 3 (14 marks) The time taken for a driver to travel to work each day, in minutes, is modelled by a continuous random variable T with probability density function f t t t t
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Question 3 (9 marks) Let h(r)= sin 42} Lunas), where £0. The function /» models the water height, in metres, on a tide height marker at the base of a boat ramp. The variable / repr
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 B, Question 3(a)Question part (a)
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a. Find the water height at 6.00 am on this Monday morning. Give your answer in metres, correct to two decimal places. 1 mark
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 B, Question 3(a)Question part (a)
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a. i. Find the mean time taken, in minutes, for the driver to travel to work each day. 1 mark
Search excerpt only. Open the original question for exact equations and diagrams.Source: 2025 VCE Mathematical Methods examination 2 (PDF, 1.13 MB)Section B, Question 3(a)(ii)Question part (a)(ii)
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ii. Find the standard deviation of the time taken, in minutes, for the driver to travel to work each day. 2 marks Section 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 B, Question 3(b)Question part (b)
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b. Find the average height of water between 6.00 am and 6.00 pm on this Monday. Give your answer in metres, correct to two decimal places. 2 marks
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 B, Question 3(b)Question part (b)
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Estimated difficulty · Easy
b. The driver allows k minutes to travel to work each day. If the journey takes longer than k minutes, the driver will be late. Whether the driver is late on a particular day is in
Search excerpt only. Open the original question for exact equations and diagrams.Source: 2025 VCE Mathematical Methods examination 2 (PDF, 1.13 MB)Section B, Question 3(b)(i)Question part (b)(i)
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i. If k = 47, write a definite integral to show that the probability of the driver being late is 0.08704 1 mark
Search excerpt only. Open the original question for exact equations and diagrams.Source: 2025 VCE Mathematical Methods examination 2 (PDF, 1.13 MB)Section B, Question 3(b)(ii)Question part (b)(ii)
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ii. If k = 47, find the probability that the driver will be late on at least one day in a five-day working week. Give your answer correct to four decimal places. 2 marks
Search excerpt only. Open the original question for exact equations and diagrams.Source: 2025 VCE Mathematical Methods examination 2 (PDF, 1.13 MB)Section B, Question 3(b)(iii)Question part (b)(iii)
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Estimated difficulty · Easy
iii. For k = 47, let P be the proportion of days the driver is late in any five-day working week. Find Pr (0.4 ≤ P ≤ 0.6) correct to four decimal places. 2 marks
Search excerpt only. Open the original question for exact equations and diagrams.Source: 2025 VCE Mathematical Methods examination 2 (PDF, 1.13 MB)How to use ClassConnect past exam questions
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