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.
Matching results: 1,902 indexed questions and parts.
Section B, Question 2(a)Question part (a)
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Estimated difficulty · Easy
a. Find the maximum and minimum heights of the mass, in metres, above the ground. 2 marks
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Report-based difficulty · EasyAverage marks: 70% of available · official reportFull marks: 48% of students · official report
a. Express the derivative f/(f) as a hybrid function. 2 marks . ’ [=]
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Report-based difficulty · EasyAverage marks: 70% of available · official reportFull marks: 65% of students · official report
b. Find the average rate of change in temperature predicted by the model between 7 = 0 [] = and 1 = S . . . H Give your answer in degrees Celsius per hour. 1 mark 5 [3 » ®
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 2(b)Question part (b)
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b. Find, correct to two decimal places, the values of θ for which the mass has a height, h, less than 1.1 m. 2 marks Section B
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Estimated difficulty · Easy
c. Another model for the temperature in the room is given by g(r) = 22 — 10°, > 0. Section B
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Estimated difficulty · Medium
c. The angle, θ radians, as a function of time, t seconds, is given by the function : [ , ] , ( ) cos 0 30 3 9 2 R t t Show that the mass is initially at point A. 1 mark
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Report-based difficulty · EasyAverage marks: 90% of available · official reportFull marks: 85% of students · official report
ii. Find the derivative g/(f). 1 mark ii. Find the value of 7 for which g/(1) = 10. Give your answer correct to three decimal places. 1 mark ° e 2 £ iS 8 3 = [=] d. Find the time €
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 2(d)Question part (d)
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Estimated difficulty · Easy
d. Determine the period of the pendulum. The period is the time in seconds taken for the mass to travel from A to C and back to A. 1 mark
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e. How many times for t ∈ [0, 30] is the mass at point A? 1 mark
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Estimated difficulty · Easy
f. Determine the distance, in metres, that the mass travels as it swings from point A to point C. 1 mark N H T
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f. The amount of power, in kilowatts, used by the heater 7 hours after it is switched on, can be modelled by the continuous function p, whose graph is shown below. ool 15 0<r<04 PO
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Report-based difficulty · MediumAverage marks: 60% of available · official reportFull marks: 55% of students · official report
i. Given that p(r) is continuous for 7 > 0, show that A = 1.2¢*. 1 mark Ei » ®
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)How to use ClassConnect past exam questions
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