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 3(b)(iv)Question part (b)(iv)
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iv. Find the integer k such that the probability, correct to one decimal place, of the driver being late at least once in any five-day working week is 0.2 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(c)Question part (c)
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c. A boat requires a water height of more than 1.4 metres to be ramp. fely launched off the Between 6.00 am and 6.00 pm on this Monday, find the total amount of time when it is saf
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(c)Question part (c)
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c. At a given traffic light, the wait time is modelled by a normal distribution with a mean of 2.5 minutes and a standard deviation of σ minutes.
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(c)(i)Question part (c)(i)
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i. If 0 6 . , find the probability that the wait time will be less than 3.5 minutes. Give your answer correct to two decimal places. 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(c)(ii)Question part (c)(ii)
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ii. Find the value of σ such that there is a 2% chance of a wait time longer than 3.5 minutes. Give your answer correct to two decimal places. 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(d)Question part (d)
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d. The driver passes through three traffic lights (A, B and C) on their journey to work. The probability of each traffic light being red is shown in the table below. Traffic light
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(d)Question part (d)
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d. Find the absolute maximum height of the water on this Monday after 6.00 am, and the time when it occurs. Give the height in metres, correct to two decimal places, and the time c
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(e)Question part (e)
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e. Show that /1(25k) = 3 for all positive integers k. 1 mark
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f. Find the period of the function A. 1 mark Section B
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Question 4 (13 marks) A claim is a request to an insurance company for payment after an incident. Company A offers car insurance. Let X be a random variable representing the claim
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Question 4 continues on the next page. Question 4 (19 marks) Consider the function f R f x x : , , ( ) sin ( ) 0 5 2 1 . The graph of y f x = ( ) is shown below. xO y y = f (x) 1 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 B, Question 4(a)Question part (a)
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a. Evaluate f 2 3 . 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)How to use ClassConnect past exam questions
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