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: 114 indexed questions and parts.
Section B, Question 4(f)Question part (f)
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Estimated difficulty · Medium
f. The graph of g and the line y = x enclose a region of the plane. The region is shown shaded in the diagram below. y x y = x y = g(x) 1 –1 1 –1 O Let A(k) be the rule of the func
Search excerpt only. Open the original question for exact equations and diagrams.Source: 2016 Mathematical Methods exam 2Question 4(a)Question part (a)
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Report-based difficulty · EasyAverage marks: 75% of available · official reportFull marks: 62% of students · official report
a. Find the coordinates of the stationary points of the function. 2 marks 7 2015 MATHMETH (CAS) EXAM 1 TURN OVER The rule for f can also be expressed as f x x x ( ) . = − ( ) + ( )
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Report-based difficulty · DifficultAverage marks: 20% of available · official reportFull marks: 16% of students · official report
b. Find the gradient of the tangent to the circle at T in terms of θ. 1 mark 15 2015 MATHMETH (CAS) EXAM 1 Question 10 – continued TURN OVER
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Report-based difficulty · DifficultAverage marks: 20% of available · official reportFull marks: 11% of students · official report
d. Consider the trapezium CEDB with parallel sides of length b and d. Find the value of θ for which the area of the trapezium CEDB is a minimum. Also find the minimum value of the
Search excerpt only. Open the original question for exact equations and diagrams.Source: 2015 Mathematical Methods exam 1 · Report: 2015 Mathematical Methods exam 1 reportSection 2, Question 1(a)Question part (a)
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a. Write down the derivative f ′ (x) of f (x). 1 mark Instructions for Section 2 Answer all questions in the spaces provided. In all questions where a numerical answer is required,
Search excerpt only. Open the original question for exact equations and diagrams.Source: 2015 Mathematical Methods exam 2Section 2, Question 5(d)Question part (d)
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d. If the function V has a local minimum (a, m), where 0 ≤ a ≤ 5, it can be shown that m k d d = − ( ) 2 10 2 3 1 3 . Find the value of k. 2 marks MATHEMATICAL METHODS (CAS) Writte
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