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.

Indexed questions and parts1,902in Mathematical Methods
Subject banks1subject
Exam years2015–2026Available in this subject

Matching results: 1,902 indexed questions and parts.

Section B, Question 2(f)(ii)Question part (f)(ii)

Mathematical Methods2024VCE21 marks
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Report-based difficulty · MediumAverage marks: 40% of available · official reportFull marks: 37% of students · official report

ii. Find how long it takes, after the heater is switched on, until the heater has used 0.5 kilowatt hours of energy Give your answer in hours. 1 mark

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Source: 2024 VCE Mathematical Methods 2 examination · Report: 2024 VCE Mathematical Methods 2 external assessment report (DOCX, 860.29 KB)

Section B, Question 2(g)Question part (g)

Mathematical Methods2024NHT22 marks
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Estimated difficulty · Easy

g. i. Find, correct to two decimal places, the height of the mass, in metres, after one second has elapsed. 2 marks This page is blank. N H T

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Source: 2024 VCE (NHT) Mathematical Methods examination 2

Section B, Question 2(g)(ii)Question part (g)(ii)

Mathematical Methods2024NHT21 marks
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Estimated difficulty · Easy

ii. State the rule for the composite function h t ( ) . 1 mark

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Source: 2024 VCE (NHT) Mathematical Methods examination 2

Section B, Question 2(g)(iii)Question part (g)(iii)

Mathematical Methods2024NHT22 marks
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Estimated difficulty · Easy

iii. Find, correct to two decimal places, the average height of the mass, in metres. 2 marks Section B

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Source: 2024 VCE (NHT) Mathematical Methods examination 2

Section B, Question 3

Mathematical Methods2024NHT212 marks
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Estimated difficulty · Difficult

Question 3 (12 marks) A small business has four people working full-time. The business rents an office, and on most days some people work from home. On any given workday, the numbe

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Source: 2024 VCE (NHT) Mathematical Methods examination 2

Section B, Question 3

Mathematical Methods2024VCE211 marks
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Estimated difficulty · Medium

Question 3 (11 marks) The points shown on the chart below represent monthly online sales in Australia. The variable y represents sales in millions of dollars. The variable represen

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Source: 2024 VCE Mathematical Methods 2 examination

Section B, Question 3(a)Question part (a)

Mathematical Methods2024NHT21 marks
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Estimated difficulty · Easy

a. Find E(N), the expected value for the number of people working in the office. 1 mark

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Source: 2024 VCE (NHT) Mathematical Methods examination 2

Section B, Question 3(a)Question part (a)

Mathematical Methods2024VCE2
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Estimated difficulty · Easy

a. A cubic polynomial p : (0, 12] = R, p(r) = af + bf" + ct +d can be used to model ‘monthly online sales in 2021. The graph of y = p() is shown as a dashed curve on the set of axe

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Source: 2024 VCE Mathematical Methods 2 examination

Section B, Question 3(a)(i)Question part (a)(i)

Mathematical Methods2024VCE23 marks
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Report-based difficulty · MediumAverage marks: 56.7% of available · official reportFull marks: 42% of students · official report

i. Find, correct to two decimal places, the values of a, b, ¢ and d. 3 marks

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Source: 2024 VCE Mathematical Methods 2 examination · Report: 2024 VCE Mathematical Methods 2 external assessment report (DOCX, 860.29 KB)

Section B, Question 3(a)(ii)Question part (a)(ii)

Mathematical Methods2024VCE2
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Report-based difficulty · DifficultAverage marks: 30% of available · official reportFull marks: 26% of students · official report

ii. Letq: (12, 24] — R. q(t) = p(t — hi) + k be a cubic function obtained by translating

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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)Question part (b)

Mathematical Methods2024NHT21 marks
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Estimated difficulty · Medium

b. Find the probability that all four people are working in the office, given that at least two people are working in the office. 1 mark

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Source: 2024 VCE (NHT) Mathematical Methods examination 2

Section B, Question 3(b)(i)Question part (b)(i)

Mathematical Methods2024VCE2
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Report-based difficulty · EasyAverage marks: 75% of available · official reportFull marks: 63% of students · official report

i. Complete the graph of / on the set of axes above until December 2023, that is, for re (24,36] Label the endpoint at 7 = 36 with its coordinates. 2 marks i. Find the derivative /

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Source: 2024 VCE Mathematical Methods 2 examination · Report: 2024 VCE Mathematical Methods 2 external assessment report (DOCX, 860.29 KB)
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