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)(ii)Question part (b)(ii)
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Report-based difficulty · MediumAverage marks: 60% of available · official reportFull marks: 59% of students · official report
ii. The function f predicts that every 12 months, monthly online sales increase by » million dollars. Find the value of 1 mark
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 B, Question 3(b)(iv)Question part (b)(iv)
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Report-based difficulty · DifficultAverage marks: 30% of available · official reportFull marks: 21% of students · official report
iv. Hence, find the maximum instantaneous rate of change for the function ; correct to the nearest million dollars per month, and the values of 7 in the interval (0, 36] when this
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 B, Question 3(c)Question part (c)
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Estimated difficulty · Medium
c. In a fortnight with ten workdays, find the probability that all four people are working in the office on at least three days. Write your answer correct to four decimal places. 2
Search excerpt only. Open the original question for exact equations and diagrams.Source: 2024 VCE (NHT) Mathematical Methods examination 2Section B, Question 3(d)Question part (d)
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Estimated difficulty · Medium
d. The business owner is trying to find ways to reduce costs. Her daily electricity costs, in dollars, can be modelled using a continuous random variable, C, which has the probabil
Search excerpt only. Open the original question for exact equations and diagrams.Source: 2024 VCE (NHT) Mathematical Methods examination 2Section B, Question 3(d)(i)Question part (d)(i)
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Estimated difficulty · Easy
i. Identify the maximum daily electricity cost, in dollars, for this small business. 1 mark
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Estimated difficulty · Easy
ii. Find the mean daily electricity cost, in dollars. 1 mark
Search excerpt only. Open the original question for exact equations and diagrams.Source: 2024 VCE (NHT) Mathematical Methods examination 2Section B, Question 3(d)(iii)Question part (d)(iii)
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Estimated difficulty · Medium
iii. Find the probability that, on a given day, the electricity cost is within two standard deviations of the mean. 2 marks N H T
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Estimated difficulty · Easy
e. In a random sample of 200 LED sensors, 30 LED sensors were found to be defective.
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Estimated difficulty · Easy
i. State the sample proportion of LED sensors that were found to be defective. 1 mark
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Estimated difficulty · Easy
ii. Use this sample proportion to find a 90% confidence interval for the population proportion of defective LED sensors, correct to three decimal places. 1 mark
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Estimated difficulty · Easy
f. A new sample of size n is taken, which is used to calculate a 95% confidence interval for the population proportion of defective LED sensors. This confidence interval, correct t
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Estimated difficulty · Easy
p. which can be used to model monthly online sales in 2022 Find the values of / and & such that the graph of y = (7) has a local maximum at (23, 4750). 2 marks
Search excerpt only. Open the original question for exact equations and diagrams.Source: 2024 VCE Mathematical Methods 2 examinationHow to use ClassConnect past exam questions
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