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 2(b)Question part (b)
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b. Show that f can be expressed in the form f: D — R, f(x) = 4x.
Search excerpt only. Open the original question for exact equations and diagrams.Source: 2025 VCE (NHT) Mathematical Methods examination 2 (PDF, 4.82 MB)Section B, Question 2(b)Question part (b)
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b. Find the value of b, where b R ∈ , such that g x ( ) can be expressed in the form g x A bx ( ) 2 . 1 mark
Search excerpt only. Open the original question for exact equations and diagrams.Source: 2025 VCE Mathematical Methods examination 2 (PDF, 1.13 MB)Section B, Question 2(c)Question part (c)
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c. Use a definite integral to evaluate the area bounded by the graphs of y f x = ( ) and y g x = ( ), where x [ ] 12, 2 . Give the area correct to two decimal places. 2 marks
Search excerpt only. Open the original question for exact equations and diagrams.Source: 2025 VCE Mathematical Methods examination 2 (PDF, 1.13 MB)Section B, Question 2(c)Question part (c)
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c. Find the area bounded by the graph of y f(x), the x-axis and the lines x = 1 and x = 2.
Search excerpt only. Open the original question for exact equations and diagrams.Source: 2025 VCE (NHT) Mathematical Methods examination 2 (PDF, 4.82 MB)Section B, Question 2(d)Question part (d)
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d. Let h x f x g x ( ) ( ) ( ) .
Search excerpt only. Open the original question for exact equations and diagrams.Source: 2025 VCE Mathematical Methods examination 2 (PDF, 1.13 MB)Section B, Question 2(d)Question part (d)
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d. The function g is the anti-derivative of f that passes through the point (1, =5). Id I ® 2 £ 8 H ° = o [=] Page 13 0f 24
Search excerpt only. Open the original question for exact equations and diagrams.Source: 2025 VCE (NHT) Mathematical Methods examination 2 (PDF, 4.82 MB)Section B, Question 2(d)(i)Question part (d)(i)
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i. Sketch the function g on the axes below, over the domain D. Label the coordinates of the endpoint, the x-intercept and the points on the graph where x= 1 and x =2. y Is 10 5 | :
Search excerpt only. Open the original question for exact equations and diagrams.Source: 2025 VCE (NHT) Mathematical Methods examination 2 (PDF, 4.82 MB)Section B, Question 2(d)(i)Question part (d)(i)
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i. Write down an expression for the derivative of h x ( ). 1 mark
Search excerpt only. Open the original question for exact equations and diagrams.Source: 2025 VCE Mathematical Methods examination 2 (PDF, 1.13 MB)Section B, Question 2(d)(ii)Question part (d)(ii)
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ii. Leta>0.5 The area bounded by the graph of y = f(x), the x-axis and the lines x = 0.5 and x =a can be expressed in the form g(a) + b. Find the value of b. 2 marks Consider the f
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ii. Find the maximum value of h x ( ), where x [ ] 12, 2 . Give your answer correct to two decimal places. 1 mark
Search excerpt only. Open the original question for exact equations and diagrams.Source: 2025 VCE Mathematical Methods examination 2 (PDF, 1.13 MB)Section B, Question 2(e)Question part (e)
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e. Let g-1 be the inverse of g. Find the points where the graph of y g x 1 ( ) intersects with the graph of y x 2 7 ( ). 2 marks
Search excerpt only. Open the original question for exact equations and diagrams.Source: 2025 VCE Mathematical Methods examination 2 (PDF, 1.13 MB)Section B, Question 2(f)Question part (f)
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Estimated difficulty · Medium
f. Let F be an anti-derivative of f that passes through (0, c), where c R ∈ . This page is blank. Examination continues on the next page.
Search excerpt only. Open the original question for exact equations and diagrams.Source: 2025 VCE Mathematical Methods examination 2 (PDF, 1.13 MB)How to use ClassConnect past exam questions
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