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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 2

Mathematical Methods2023VCE2
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Estimated difficulty · Easy

Question 2 For the parabola with equation y = ax2 + 2bx + c, where a, b, c ∈ R, the equation of the axis of symmetry is A. x b a B. x b 2 C. y = c D. x b = E. x b = 2

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Source: 2023 VCE Mathematical Methods 2 examination

Section A, Question 2(e)Question part (e)

Mathematical Methods2023VCE2
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Instructions for Section A Answer all questions in pencil on the answer sheet provided for multiple-choice questions. Choose the response that is correct for the question. A correc

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Source: 2023 VCE Mathematical Methods 2 examination

Section A, Question 3

Mathematical Methods2023VCE2
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Question 3 Two functions, p and q, are continuous over their domains, which are [−2, 3) and (−1, 5], respectively. The domain of the sum function p + q is A. [−2, 5] B. [−2, −1) ∪

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Source: 2023 VCE Mathematical Methods 2 examination

Section A, Question 3

Mathematical Methods2023NHT2
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Question 3 The function f (x) = 3 2 2 − − x x is strictly decreasing over the domain A. (–3, 3) B. (–1, 1) C. (–3, 1) D. [–1, 1] E. [–3, 1]

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Source: 2023 VCE (NHT) Mathematical Methods examination 2

Section A, Question 3(e)Question part (e)

Mathematical Methods2023NHT2
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Instructions for Section A Answer all questions in pencil on the answer sheet provided for multiple-choice questions. Choose the response that is correct for the question. A correc

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Source: 2023 VCE (NHT) Mathematical Methods examination 2

Section A, Question 4

Mathematical Methods2023NHT2
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Question 4 Consider the polynomial equation f (x) = xn − px + 1, where p < 0, and n is a positive whole number larger than zero. The highest value of n, from the options below, for

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Source: 2023 VCE (NHT) Mathematical Methods examination 2

Section A, Question 4

Mathematical Methods2023VCE2
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Report-based difficulty · MediumAverage marks: 55% of available · official reportAnswered correctly: 55% · official report

Question 4 Consider the system of simultaneous linear equations below containing the parameter k. kx + 5y = k + 5 4x + (k +1)y = 0 The value(s) of k for which the system of equatio

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

Section A, Question 5

Mathematical Methods2023NHT2
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Question 5 The probability distribution for the discrete random variable X is shown in the table below x 0 1 2 3 Pr (X = x) 0.2 0.4 0.3 0.1 The value of E(X) is A. 1.0 B. 1.3 C. 1.

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Source: 2023 VCE (NHT) Mathematical Methods examination 2

Section A, Question 5

Mathematical Methods2023VCE2
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Report-based difficulty · MediumAverage marks: 62% of available · official reportAnswered correctly: 62% · official report

Question 5 Which one of the following functions has a horizontal tangent at (0, 0)? A. y x 1 3 B. y x = 1 C. y x = 2 D. y x = 4 E. y x =

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

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

Mathematical Methods2023VCE2
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2023 MATHMETH EXAM 2 4 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 6

Mathematical Methods2023NHT2
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Question 6 The range of the function f R f x x : , , ( ) tan 0 1 2 2 2 is A. R B. (0, 2) C. [0, 1] D. [−2, 2] E. [0, 2]

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Source: 2023 VCE (NHT) Mathematical Methods examination 2

Section A, Question 7

Mathematical Methods2023NHT2
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Question 7 If f x dx ( ) 3 2 5 and f x dx ( ) 2 1 , then f x dx ( ) 2 is equal to A. 5 B. 1 C. 3 7 D. −1 E. −5

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Source: 2023 VCE (NHT) Mathematical Methods examination 2
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