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 4(a)Question part (a)
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a. Find the mean claim amount, E(X), in thousands of dollars. 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 4(b)Question part (b)
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b. Find the exact values of x for which f x ( ) = 3 2 . 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 4(b)Question part (b)
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Estimated difficulty · Medium
b. A claim of more than $2000 (that is, X > 2) is classified as large. fii. Tn a random sample of 10 claims, find the probability that more than one claim is classified as large. G
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 4(b)(i)Question part (b)(i)
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i. Find the probability that a claim is classified as large. 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 4(b)(ii)Question part (b)(ii)
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ii. Given that a claim is classified as large, find the probability that it is more than $4000. 2 marks o ° =) S H FE he
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 4(b)(iv)Question part (b)(iv)
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Estimated difficulty · Medium
iv. A household has two cars insured with company A. For cach car, there is a 20% chance that a claim will be made next year, independent of the other car. The claim amounts are al
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 4(c)Question part (c)
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Estimated difficulty · Medium
c. Let 7, be a random variable that approximates the time taken, in days, for company A to settle a claim. Suppose 7 follows a normal distribution with a mean of 32 days and a stan
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 4(c)Question part (c)
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Estimated difficulty · Easy
c. There exist real numbers a and k in the interval 0 5 2 , , such that f x k f x ( ) ( ) for all x a ∈ [ , ] 0 . Find the value of k and the largest possible value of a. 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 4(c)(i)Question part (c)(i)
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i. Find Pr (7, < 45). Give your answer correct to three 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 4(c)(ii)Question part (c)(ii)
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ii. Company A settles 99.5% of claims within k days. Find the value of k. Give your answer correct to the nearest whole number. 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 4(c)(iii)Question part (c)(iii)
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Estimated difficulty · Easy
iii. Company B also offers car insurance. In a random sample of 80 claims to company B, 76 were paid. Find the approximate 95% confidence interval for the proportion of claims paid
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 4(c)(iv)Question part (c)(iv)
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Estimated difficulty · Medium
iv. Let Tj be a random v: company B to settle a iable that approximates the time taken, in days, for im. Suppose 7 follows a normal distribution with a mean of 25 days and a standa
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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