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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: 1,902 indexed questions and parts.

Section A, Question 11(e)Question part (e)

Mathematical Methods2023VCE2
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Estimated difficulty · Easy

2023 MATHMETH EXAM 2 6 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: 2023 VCE Mathematical Methods 2 examination

Section A, Question 12

Mathematical Methods2023NHT2
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Question 12 The graph of y = f (x) is shown below. O y x The graph of y = f ′ (x) is best represented by A. B. C. D. E.

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Source: 2023 VCE (NHT) Mathematical Methods examination 2

Section A, Question 12

Mathematical Methods2023VCE2
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Report-based difficulty · DifficultAverage marks: 29% of available · official reportAnswered correctly: 29% · official report

Question 12 The probability mass function for the discrete random variable X is shown below. X −1 0 1 2 Pr(X = x) k2 3k k −k2 – 4k + 1 The maximum possible value for the mean of X

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Source: 2023 VCE Mathematical Methods 2 examination · Report: 2023 VCE Mathematical Methods 2 external assessment report

Section A, Question 12(c)Question part (c)

Mathematical Methods2023NHT2
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2023 MATHMETH EXAM 2 (NHT) 6 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: 2023 VCE (NHT) Mathematical Methods examination 2

Section A, Question 13

Mathematical Methods2023NHT2
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Question 13 A tangent line to the graph of y = loge(2x) + loge(x − 2) passes through the origin. The x-coordinate, correct to two decimal places, where the tangent line touches the

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Source: 2023 VCE (NHT) Mathematical Methods examination 2

Section A, Question 13

Mathematical Methods2023VCE2
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Report-based difficulty · MediumAverage marks: 52% of available · official reportAnswered correctly: 52% · official report

Question 13 The following algorithm applies Newton’s method using a For loop with 3 iterations. Inputs: f(x), a function of x df(x), the derivative of f(x) x0, an initial estimate

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Source: 2023 VCE Mathematical Methods 2 examination · Report: 2023 VCE Mathematical Methods 2 external assessment report

Section A, Question 13(e)Question part (e)

Mathematical Methods2023VCE2
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7 2023 MATHMETH EXAM 2 TURN OVER 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: 2023 VCE Mathematical Methods 2 examination

Section A, Question 14

Mathematical Methods2023VCE2
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Report-based difficulty · DifficultAverage marks: 29% of available · official reportAnswered correctly: 29% · official report

Question 14 A polynomial has the equation y = x (3x – 1) (x + 3) (x + 1). The number of tangents to this curve that pass through the positive x-intercept is A. 0 B. 1 C. 2 D. 3 E.

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Source: 2023 VCE Mathematical Methods 2 examination · Report: 2023 VCE Mathematical Methods 2 external assessment report

Section A, Question 14

Mathematical Methods2023NHT2
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Estimated difficulty · Medium

Question 14 There are two boxes of sweets. Box 1 contains five strawberry-flavoured sweets and seven lemon-flavoured sweets. Box 2 contains six strawberry-flavoured sweets and 12 l

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Source: 2023 VCE (NHT) Mathematical Methods examination 2

Section A, Question 15

Mathematical Methods2023VCE2
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Report-based difficulty · MediumAverage marks: 65% of available · official reportAnswered correctly: 65% · official report

Question 15 Let X be a normal random variable with mean of 100 and standard deviation of 20. Let Y be a normal random variable with mean of 80 and standard deviation of 10. Which o

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Source: 2023 VCE Mathematical Methods 2 examination · Report: 2023 VCE Mathematical Methods 2 external assessment report

Section A, Question 15

Mathematical Methods2023NHT2
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Question 15 For the continuous random variable X with probability density function f x a x x x x ( ) ( )( )( ) 6 2 2 2 6 0 elsewhere where a is a positive real constant, the varian

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Source: 2023 VCE (NHT) Mathematical Methods examination 2

Section A, Question 15(c)Question part (c)

Mathematical Methods2023VCE2
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Estimated difficulty · Easy

2023 MATHMETH EXAM 2 8 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: 2023 VCE Mathematical Methods 2 examination
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