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 A, Question 7
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Report-based difficulty · MediumAverage marks: 60% of available · official reportAnswered correctly: 60% · official report
Question 7 Let f (x) = loge x, where x > 0 and ) g x x 1 , where x < 1. The domain of the derivative of ( f ⸰ g)(x) is A. x ∈ R B. x ∈ (− ∞, 1] C. x ∈ (− ∞, 1) D. x ∈ (0, ∞) E. x ∈
Search excerpt only. Open the original question for exact equations and diagrams.Source: 2023 VCE Mathematical Methods 2 examination · Report: 2023 VCE Mathematical Methods 2 external assessment reportSection A, Question 7(e)Question part (e)
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Estimated difficulty · Easy
2023 MATHMETH EXAM 2 (NHT) 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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Estimated difficulty · Easy
Question 8 The weights of apples that have been picked from an orchard are normally distributed with a mean of 182 grams and a standard deviation of 10 grams. 25% of the apples are
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Report-based difficulty · MediumAverage marks: 49% of available · official reportAnswered correctly: 49% · official report
Question 8 A box contains n green balls and m red balls. A ball is selected at random, and its colour is noted. The ball is then replaced in the box. In 8 such selections, where n
Search excerpt only. Open the original question for exact equations and diagrams.Source: 2023 VCE Mathematical Methods 2 examination · Report: 2023 VCE Mathematical Methods 2 external assessment reportSection A, Question 8(e)Question part (e)
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Estimated difficulty · Easy
5 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
Search excerpt only. Open the original question for exact equations and diagrams.Source: 2023 VCE Mathematical Methods 2 examinationSection A, Question 9
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Report-based difficulty · MediumAverage marks: 42% of available · official reportAnswered correctly: 42% · official report
Question 9 The function f is given by f x x ax ( ) tan sin( ) 2 4 2 2 8 The value of a for which f is continuous and smooth at x = 2 π is A. −2 B. 2 C. − 1 D. 1 E. 2
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Estimated difficulty · Easy
Question 9 The area between the graph of y = x3 − x2 − 2x and the lines y = 0, x = −1 and x = 2 is A. 5 12 B. 19 C. 37 D. − 9 4 E. −15
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Estimated difficulty · Medium
Question 10 A person rolls five fair, six-sided dice. The outcome for each of the dice rolls is independent of the outcome for any of the other dice rolls. What is the probability
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Report-based difficulty · MediumAverage marks: 60% of available · official reportAnswered correctly: 60% · official report
Question 10 A continuous random variable X has the following probability density function. g x x x ( ) 1 20 9 12 0 1 6 6 9 elsewhere The value of k such that Pr(X < k) = 0.35 is A.
Search excerpt only. Open the original question for exact equations and diagrams.Source: 2023 VCE Mathematical Methods 2 examination · Report: 2023 VCE Mathematical Methods 2 external assessment reportSection A, Question 11
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Report-based difficulty · DifficultAverage marks: 22% of available · official reportAnswered correctly: 22% · official report
Question 11 Two functions, f and g, are continuous and differentiable for all x ∈ R. It is given that f (−2) = −7, g(−2) = 8 and f ʹ (−2) = 3, gʹ (−2) = 2. The gradient of the grap
Search excerpt only. Open the original question for exact equations and diagrams.Source: 2023 VCE Mathematical Methods 2 examination · Report: 2023 VCE Mathematical Methods 2 external assessment reportSection A, Question 11
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Estimated difficulty · Medium
Question 11 If u = g(x) and v = e g(2x), where g is a differentiable function, then d dx uv ( ) is equal to A. 3g(x)e g(2x) B. e g x g x g x ( ) ( ) ( ) 2 2 C. e g x g x g x g x (
Search excerpt only. Open the original question for exact equations and diagrams.Source: 2023 VCE (NHT) Mathematical Methods examination 2Section A, Question 11(e)Question part (e)
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Estimated difficulty · Easy
5 2023 MATHMETH EXAM 2 (NHT) TURN OVER d o n o t w r i t e i n t h i s a r e a
Search excerpt only. Open the original question for exact equations and diagrams.Source: 2023 VCE (NHT) Mathematical Methods examination 2How to use ClassConnect past exam questions
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