VCE Past Exam Questions
Search 14,316 indexed VCE questions and parts across 19 subjects. Filter by topic, year, sitting and paper, then open the original source.
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Section A, Question 18
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Question 18 The graph of y = f ′(x) is shown below. x 1 −1 4 3 2 1 O −1 −2 −3 y The graph of y = f (x) could be A. B. C. D. 4 3 2 1 O −2 −3 Section A End of Section A
Search excerpt only. Open the original question for exact equations and diagrams.Source: 2026 VCE (NHT) Mathematical Methods examination 2 (PDF, 1.3 MB)Section A, Question 19
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Question 19 A basketball player has three attempts to score from the free throw line. If the player scores at least twice, they win the game. Assume that for each attempt, the prob
Search excerpt only. Open the original question for exact equations and diagrams.Source: 2026 VCE (NHT) Mathematical Methods examination 2 (PDF, 1.3 MB)Section A, Question 20
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Question 20 A soup company wishes to design a new can for its soup. The can must be in the shape of a cylinder with a fixed volume V cm3. In order to minimise costs, the company ch
Search excerpt only. Open the original question for exact equations and diagrams.Source: 2026 VCE (NHT) Mathematical Methods examination 2 (PDF, 1.3 MB)Section B, Question 1
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Question 1 (13 marks) A glass of water is placed in a refrigerator. The temperature of the water, in degrees Celsius, t hours after it is placed in the refrigerator is given by the
Search excerpt only. Open the original question for exact equations and diagrams.Source: 2026 VCE (NHT) Mathematical Methods examination 2 (PDF, 1.3 MB)Section B, Question 1(a)Question part (a)
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a. State the initial temperature of the water, in degrees Celsius. 1 mark
Search excerpt only. Open the original question for exact equations and diagrams.Source: 2026 VCE (NHT) Mathematical Methods examination 2 (PDF, 1.3 MB)Section B, Question 1(b)Question part (b)
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b. State the equation of the asymptote for the graph of y = f (t). 1 mark
Search excerpt only. Open the original question for exact equations and diagrams.Source: 2026 VCE (NHT) Mathematical Methods examination 2 (PDF, 1.3 MB)Section B, Question 1(c)Question part (c)
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c. Find the value of k and, hence, show that f (t) can be expressed in the form f (t) = 6 + 33 - t. 2 marks Section B
Search excerpt only. Open the original question for exact equations and diagrams.Source: 2026 VCE (NHT) Mathematical Methods examination 2 (PDF, 1.3 MB)Section B, Question 1(d)Question part (d)
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d. How long after being placed in the refrigerator does it take the water temperature to reach 8.5 °C? Give your answer in hours, correct to two decimal places. 1 mark
Search excerpt only. Open the original question for exact equations and diagrams.Source: 2026 VCE (NHT) Mathematical Methods examination 2 (PDF, 1.3 MB)Section B, Question 1(e)Question part (e)
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e. Three hours after the water is placed in the refrigerator (that is, when t = 3), the refrigerator door is opened. The temperature of the water then increases at a rate of g′(t)
Search excerpt only. Open the original question for exact equations and diagrams.Source: 2026 VCE (NHT) Mathematical Methods examination 2 (PDF, 1.3 MB)Section B, Question 1(e)(ii)Question part (e)(ii)
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ii. Find h′(t) for t ≠ 3 and verify that the function h is not differentiable at t = 3. 3 marks
Search excerpt only. Open the original question for exact equations and diagrams.Source: 2026 VCE (NHT) Mathematical Methods examination 2 (PDF, 1.3 MB)Section B, Question 1(f)Question part (f)
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f. Temperature can also be measured in degrees Fahrenheit. The temperature of the water in degrees Fahrenheit is given by the equation p t h t ( ) ( ) 9 5 32.
Search excerpt only. Open the original question for exact equations and diagrams.Source: 2026 VCE (NHT) Mathematical Methods examination 2 (PDF, 1.3 MB)Section B, Question 1(f)(i)Question part (f)(i)
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i. State a sequence of two transformations, a dilation followed by a translation, that will map the graph of y = h(t) to the graph of y = p(t). 2 marks 1. 2.
Search excerpt only. Open the original question for exact equations and diagrams.Source: 2026 VCE (NHT) Mathematical Methods examination 2 (PDF, 1.3 MB)How to use ClassConnect past exam questions
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