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 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
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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
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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)Section B, Question 1(f)(ii)Question part (f)(ii)
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ii. State a sequence of two transformations, a translation followed by a dilation, that will map the graph of y = h(t) to the graph of y = p(t). 1 mark 1. 2. Section B
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Question 2 continues on the next page. Question 2 (15 marks) Let f : R → R, f x x x ( ) 2 1. The graph of y = f (x) is shown below. O y
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 2(a)Question part (a)
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a. State the coordinates of both stationary points of f. 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 2(b)Question part (b)
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b. Find the area bounded by the graph of y = f (x), the line x = -1, the line x = 1 and the x-axis. 2 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)How to use ClassConnect past exam questions
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