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 B, Question 2(c)Question part (c)
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Estimated difficulty · Medium
c. At what rate is the amount of caffeine in Kim’s body decaying 4 hours after they drink an espresso? Give your answer in milligrams per hour in the form a b e , where a and b are
Search excerpt only. Open the original question for exact equations and diagrams.Source: 2023 VCE (NHT) Mathematical Methods examination 2Section B, Question 2(c)Question part (c)
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Report-based difficulty · MediumAverage marks: 50% of available · official reportFull marks: 55% of students · official report
c. Find the average rate of change, in metres per minute, of the height of a pod on the wheel as it travels from point A to point B. 1 mark 2023 MATHMETH EXAM 2 14 d o n o t w r i
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 B, Question 2(d)Question part (d)
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Estimated difficulty · Easy
d. i. State the values of k and m. 1 mark 15 2023 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 2023 MATHMETH EXAM 2 16
Search excerpt only. Open the original question for exact equations and diagrams.Source: 2023 VCE Mathematical Methods 2 examinationSection B, Question 2(d)Question part (d)
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d. When t ≥ 4, is the function C2 strictly increasing, strictly decreasing or neither? 1 mark
Search excerpt only. Open the original question for exact equations and diagrams.Source: 2023 VCE (NHT) Mathematical Methods examination 2Section B, Question 2(d)(ii)Question part (d)(ii)
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Estimated difficulty · Easy
ii. Find all possible values of n. 2 marks
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Estimated difficulty · Easy
iii. Sketch the graph of the piecewise function w on the axes below, showing the coordinates of the endpoints. 3 marks 120 150 90 60 30 5 10 15 20 25 w t O
Search excerpt only. Open the original question for exact equations and diagrams.Source: 2023 VCE Mathematical Methods 2 examinationSection B, Question 2(e)Question part (e)
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Estimated difficulty · Medium
e. Show that the function C2 is not continuous for t > 0. 1 mark
Search excerpt only. Open the original question for exact equations and diagrams.Source: 2023 VCE (NHT) Mathematical Methods examination 2Section B, Question 2(f)Question part (f)
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Estimated difficulty · Easy
f. Using C2 , find the maximum amount of active caffeine in Kim’s body and the time at which this level was reached. Give the maximum amount of caffeine, in milligrams, correct to
Search excerpt only. Open the original question for exact equations and diagrams.Source: 2023 VCE (NHT) Mathematical Methods examination 2Section B, Question 2(g)Question part (g)
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Estimated difficulty · Medium
g. Find the derivative C2′(t), giving your answer as a hybrid function that includes the relevant domains. 2 marks 2023 MATHMETH EXAM 2 (NHT) 16 D O N O T W R I T E I N T H I S A R
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Estimated difficulty · Medium
h. Use the derivative C2′(t) to find the times during which the amount of active caffeine is decreasing by at least 8 milligrams per hour. Express your answer in interval notation,
Search excerpt only. Open the original question for exact equations and diagrams.Source: 2023 VCE (NHT) Mathematical Methods examination 2Section B, Question 3
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Estimated difficulty · Medium
Question 3 (11 marks) Consider the graph of f (x) = x3 − ax, where a is a real number, with its turning points, A and C, as shown below. 3 2 , 2 3 3 a a A −
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Question 3 (12 marks) Consider the function g : R → R, g(x) = 2x + 5.
Search excerpt only. Open the original question for exact equations and diagrams.Source: 2023 VCE Mathematical Methods 2 examinationHow to use ClassConnect past exam questions
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