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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: 114 indexed questions and parts.

Section B, Question 5(e)Question part (e)

Mathematical Methods2022VCE23 marks
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Report-based difficulty · DifficultAverage marks: 30% of available · official reportFull marks: 22% of students · official report

e. Find four solutions to the equation g' (x) = 0 for the interval x ∈ [0, π]. 3 marks MATHEMATICAL METHODS Written examination 2

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Source: 2022 Mathematical Methods exam 2 · Report: 2022 Mathematical Methods exam 2 report

Question 1(a)Question part (a)

Mathematical Methods2021NHT12 marks
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Estimated difficulty · Easy

a. Find the derivative of e x x 2 2 1 + . 2 marks

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Source: 2021 VCE (NHT) Mathematical Methods examination 1

Question 1(a)Question part (a)

Mathematical Methods2021VCE11 marks
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Report-based difficulty · EasyAverage marks: 90% of available · official reportFull marks: 87% of students · official report

a. Differentiate y = 2e–3x with respect to x. 1 mark

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Source: 2021 Mathematical Methods exam 1 · Report: 2021 Mathematical Methods exam 1 report

Question 8

Mathematical Methods2021VCE15 marks
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Estimated difficulty · Medium

Question 8 (5 marks) The gradient of a function is given by dy dx x x 6 2 3 2 . The graph of the function has a single stationary point at 3 29 4 , .

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Source: 2021 Mathematical Methods exam 1

Question 8(b)Question part (b)

Mathematical Methods2021VCE12 marks
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Report-based difficulty · MediumAverage marks: 40% of available · official reportFull marks: 23% of students · official report

b. Determine the nature of the stationary point. 2 marks 2021 MATHMETH EXAM 1 10 d o n o t w r i t e i n t h i s a r e a

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Source: 2021 Mathematical Methods exam 1 · Report: 2021 Mathematical Methods exam 1 report

Question 9(b)Question part (b)

Mathematical Methods2021NHT11 marks
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Estimated difficulty · Easy

b. Determine, with appropriate justification, the number of stationary points of the graph of f. 1 mark

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Source: 2021 VCE (NHT) Mathematical Methods examination 1

Question 9(c)Question part (c)

Mathematical Methods2021NHT11 marks
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Estimated difficulty · Medium

c. State the range of f ′. 1 mark MATHEMATICAL METHODS Written examination 1

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Source: 2021 VCE (NHT) Mathematical Methods examination 1

Question 9(c)Question part (c)

Mathematical Methods2021VCE1
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c. For 0 < q ≤ 1, let P′ be the point of intersection of the graph of h with the unit circle, where P′ is always the point of intersection that is closest to A, as shown in the dia

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Source: 2021 Mathematical Methods exam 1

Section B, Question 1(c)Question part (c)

Mathematical Methods2021VCE21 marks
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Report-based difficulty · EasyAverage marks: 90% of available · official reportFull marks: 90% of students · official report

c. Find the derivative of Vbox with respect to x. 1 mark

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Source: 2021 Mathematical Methods exam 2 · Report: 2021 Mathematical Methods exam 2 report

Section B, Question 1(e)Question part (e)

Mathematical Methods2021NHT22 marks
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Estimated difficulty · Medium

e. i. Find the value of the derivative of f and the value of the derivative of g at x = π 3 . 2 marks 2021 MATHMETH EXAM 2 (NHT) 12 DO NOT W R I T E N T H I S A R E A

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Source: 2021 VCE (NHT) Mathematical Methods examination 2

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

Mathematical Methods2021NHT21 marks
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Estimated difficulty · Easy

b. i. State the derivative of h (x). 1 mark

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Source: 2021 VCE (NHT) Mathematical Methods examination 2

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

Mathematical Methods2021VCE21 marks
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Report-based difficulty · EasyAverage marks: 70% of available · official reportFull marks: 67% of students · official report

d. Find the gradient of the tangent to the graph of p at x = a. 1 mark 19 2021 MATHMETH EXAM 2 d o n o t w r i t e i n t h i s a r e a TURN OVER The diagram below shows parts of th

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Source: 2021 Mathematical Methods exam 2 · Report: 2021 Mathematical Methods exam 2 report
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