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 6
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Question 6 A biased coin has a probability of 0.4 of showing heads. The coin is flipped 10 times. The probability of the coin showing heads at most twice is closest to A. 0.12 B. 0
Search excerpt only. Open the original question for exact equations and diagrams.Source: 2025 VCE (NHT) Mathematical Methods examination 2 (PDF, 4.82 MB)Section A, Question 6
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Question 6 The trapezium rule is used, with two trapeziums, to estimate the area bounded by the graph of y f x = ( ), the x-axis and the lines x = 0 and x = 1. For which function w
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Question 7 Letg:[-1.1,0] > R, g(x) =x" — 3x*+ 2° — 6x + 2. The range of g, correct to two decimal places, is A. B. Cc. D. 0.00, 2.00] ~0.06,4.71] 0.00,4.71] [f [ [-0.06, 2.00] o °
Search excerpt only. Open the original question for exact equations and diagrams.Source: 2025 VCE (NHT) Mathematical Methods examination 2 (PDF, 4.82 MB)Section A, Question 7
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Question 7 Consider the algorithm below. n 17 k 5 while n > k n n – k print n end while In order, the values printed by the algorithm are A. 12 B. 12, 7 C. 12, 7, 2 D. 12, 7,
Search excerpt only. Open the original question for exact equations and diagrams.Source: 2025 VCE Mathematical Methods examination 2 (PDF, 1.13 MB)Section A, Question 8
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Question 8 A random sample of n Victorian households is taken to estimate the proportion of all Victorian households that have vegetable gardens. The approximate 95% confidence int
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Question 8 The graph of y = / (x) is shown below, where f: R = R, f(x) = x* ~ x. y The area of the region marked 4 is the same as the area of the region marked B. Given that a > 0,
Search excerpt only. Open the original question for exact equations and diagrams.Source: 2025 VCE (NHT) Mathematical Methods examination 2 (PDF, 4.82 MB)Section A, Question 9
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Question 9 Given that the graph of y = g (x) has a local minimum at (2, 1), the graph of y = g (~2x) must have Id I ® 2 £ 8 H ° = o [=] A. alocal minimumat (1, 1). B. alocal minimu
Search excerpt only. Open the original question for exact equations and diagrams.Source: 2025 VCE (NHT) Mathematical Methods examination 2 (PDF, 4.82 MB)Section A, Question 9
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Question 9 One day, at a particular school, m students walked to school and the remaining n students travelled to school using a different form of transport. Of the m students who
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Question 10 Consider f R R f x x x : , ( ) 2 12 and g R R g x x : , ( ) sin ( ) . The inequality ( )( ) f g x > 0 is satisfied when A. sin ( ) x 1 B. 1 0 sin ( ) x C. 1 2 1 sin (
Search excerpt only. Open the original question for exact equations and diagrams.Source: 2025 VCE Mathematical Methods examination 2 (PDF, 1.13 MB)Section A, Question 11
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Question 11 The chart below shows the daily price of a stock market share over a 30-day period. 34 35 36 37 38 39 40 day 5 0 10 15 20 25 30 share price ($) Over which of the follow
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Question 12 For a normal random variable X, it is known that Pr ( ) . X 200 0 325 and Pr ( ) . 180 200 0 589 X The mean and standard deviation of X are closest to A. 190 and 10 B.
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Question 13 The graphs of y f x = ( ) and y g x = ( ) are sketched on the same set of axes below. y y = f (x) y = g(x) O x Which of the following could be the graph of y g f x = (
Search excerpt only. Open the original question for exact equations and diagrams.Source: 2025 VCE Mathematical Methods examination 2 (PDF, 1.13 MB)How to use ClassConnect past exam questions
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