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(c)(ii)Question part (c)(ii)
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Estimated difficulty · Easy
ii. Find the values of p for which f would not have any stationary points. 1 mark
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Report-based difficulty · EasyAverage marks: 80% of available · official reportFull marks: 76% of students · official report
ii. Find the coordinates of the local maximum of g. 1 mark fii. Find the values of x for which g'(x) > 0. 1 mark
Search excerpt only. Open the original question for exact equations and diagrams.Source: 2024 VCE Mathematical Methods 2 examination · Report: 2024 VCE Mathematical Methods 2 external assessment report (DOCX, 860.29 KB)Section B, Question 1(c)(iv)Question part (c)(iv)
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Report-based difficulty · MediumAverage marks: 60% of available · official reportFull marks: 51% of students · official report
iv. Consider the two tangent lines to the graph of y = g(x) at the points where Determine the coordinates of the point of intersection of these two tangent lines: 2 marks o 1 3 ° a
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Estimated difficulty · Easy
d. The graph of f passes through the origin for all values of p.
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d. Let g remain as the function g:R — R, g(x) = (x+1)* (x2), which is the function f where a = 1. Let / be the function hi: R — R, h(x) = (x + D(x )(x+2)(x~2), which is the functio
Search excerpt only. Open the original question for exact equations and diagrams.Source: 2024 VCE Mathematical Methods 2 examinationSection B, Question 1(d)(i)Question part (d)(i)
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Estimated difficulty · Medium
i. Use calculus to show that the tangent line to f at the origin has the equation y = −px. 2 marks
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Report-based difficulty · MediumAverage marks: 40% of available · official reportFull marks: 37% of students · official report
i. Using translations only, describe a sequence of transformations of /, for which its image would have a local maximum at the same coordinates as that of g. 1 mark
Search excerpt only. Open the original question for exact equations and diagrams.Source: 2024 VCE Mathematical Methods 2 examination · Report: 2024 VCE Mathematical Methods 2 external assessment report (DOCX, 860.29 KB)Section B, Question 1(d)(ii)Question part (d)(ii)
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Report-based difficulty · DifficultAverage marks: 15% of available · official reportFull marks: 5% of students · official report
ii. Using a dilation and translations, describe a different sequence of transformations of h, for which its image would have both local minimums at the same coordinates as that of
Search excerpt only. Open the original question for exact equations and diagrams.Source: 2024 VCE Mathematical Methods 2 examination · Report: 2024 VCE Mathematical Methods 2 external assessment report (DOCX, 860.29 KB)Section B, Question 1(d)(ii)Question part (d)(ii)
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Estimated difficulty · Easy
ii. Find, in terms of p, the area of the region bounded by the function f, the line y = −px and the line x = p, where p > 0. 2 marks
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Estimated difficulty · Easy
iii. The expression for the area found in part d.ii also gives the area bounded by a cubic function y = kx3, the x-axis and the line x = p, where p > 0. Find all possible values of
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Question 2 (11 marks) A model for the temperature in a room, in degrees Celsius, is given by where 7 represents time in hours after a heater is switched on. Question 2 continues on
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Question 2 (13 marks) A simple pendulum consists of a mass at the end of a string of fixed length 0.5 m. The other end of the string is attached to a fixed point, O. A string mass
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