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 A, Question 20(e)Question part (e)
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Estimated difficulty · Easy
2023 MATHMETH EXAM 2 10 d o n o t w r i t e i n t h i s a r e a
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Estimated difficulty · Medium
Question 1 (11 marks) Let f : R → R, f (x) = x(x – 2)(x + 1). Part of the graph of f is shown below. y x O
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Question 1 (16 marks) Let g : R → R, g(x) = (x + 2)2 − 1.
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a. Express the rule for g in the form g(x) = ax2 + bx + c, where a, b, c ∈ R. 1 mark
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Report-based difficulty · EasyAverage marks: 90% of available · official reportFull marks: 91% of students · official report
a. State the coordinates of all axial intercepts of f. 1 mark
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Estimated difficulty · Easy
b. The function g can also be written in the form g(x) = (x − p)(x − q), where p, q ∈ Z. Give the values of p and q. 1 mark
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Report-based difficulty · EasyAverage marks: 80% of available · official reportFull marks: 68% of students · official report
b. Find the coordinates of the stationary points of f. 2 marks Instructions for Section B Answer all questions in the spaces provided. In all questions where a numerical answer is
Search excerpt only. Open the original question for exact equations and diagrams.Source: 2023 VCE Mathematical Methods 2 examination · Report: 2023 VCE Mathematical Methods 2 external assessment reportSection B, Question 1(c)Question part (c)
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c. Find the value of k for which the graph of y = g(x) + k passes through the origin. 2 marks
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c. i. Let g : R → R, g(x) = x − 2. Find the values of x for which f (x) = g(x). 1 mark
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ii. Write down an expression using definite integrals that gives the area of the regions bound by f and g. 2 marks
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Estimated difficulty · Medium
iii. Hence, find the total area of the regions bound by f and g, correct to two decimal places. 1 mark
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Estimated difficulty · Easy
d. Using algebra, find the value(s) of d such that the graph of y = g(x − d) will pass through the origin. 2 marks Instructions for Section B Answer all questions in the spaces pro
Search excerpt only. Open the original question for exact equations and diagrams.Source: 2023 VCE (NHT) Mathematical Methods examination 2How to use ClassConnect past exam questions
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