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 5
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Estimated difficulty · Medium
Question 5 (14 marks) David is planning to build a vegetable garden in his backyard, using an existing wall for one side and up to 12 metres of timber for the remaining sides. Assu
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 5(a)Question part (a)
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a. David considers building a rectangular vegetable garden as shown below, with length 7 metres and width w metres. existing wall
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 5(a)(i)Question part (a)(i)
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i. David uses 12 metres of timber for the remaining three sides. Show that the area of the rectangular vegetable garden, in square metres, can be expressed as 12w — 2w%. 1 mark o °
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 5(a)(ii)Question part (a)(ii)
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ii. Find the maximum possible area of the rectangular vegetable garden. Give your answer in square metres. 2 marks
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 5(b)Question part (b)
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Estimated difficulty · Easy
b. David realises that his new vegetable garden must fit within the boundary created by his garden path. Let the existing wall be defined by the x-axis and the boundary of the gard
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 5(b)(i)Question part (b)(i)
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i. Given that g is continuous, find the value of £. 2 marks
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 5(b)(ii)Question part (b)(ii)
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ii. Show that A(w)=w| 12—e2 —¢3 |. 2 marks
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 5(b)(iii)Question part (b)(iii)
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Estimated difficulty · Medium
iii. Hence, find the value of w that gives the maximum area of this rectangular vegetable garden, and state the maximum of A(w). Give your answers correct to two decimal places. 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 5(b)(iv)Question part (b)(iv)
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Estimated difficulty · Medium
iv. Can David build the rectangular vegetable garden of maximum area, as described in part b.jii, with less than 12 metres of timber? Justify your answer. 1 mark
Search excerpt only. Open the original question for exact equations and diagrams.Source: 2025 VCE (NHT) Mathematical Methods examination 2 (PDF, 4.82 MB)Question 1(a)Question part (a)
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Estimated difficulty · Easy
a. Let y xe x 2 1 . Find and factorise dy dx . 2 marks
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Report-based difficulty · EasyAverage marks: 80% of available · official reportFull marks: 82% of students · official report
a. Lety=e'cos(3v) Find & ind 1 mark
Search excerpt only. Open the original question for exact equations and diagrams.Source: 2024 VCE Mathematical Methods 1 examination · Report: 2024 VCE Mathematical Methods 1 external assessment report (DOCX, 452.28 KB)Question 1(b)Question part (b)
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Estimated difficulty · Medium
b. Let f x x x e ( ) log ( ) = 3 . Evaluate f ′(x) at x = e. 2 marks
Search excerpt only. Open the original question for exact equations and diagrams.Source: 2024 VCE (NHT) Mathematical Methods examination 1How to use ClassConnect past exam questions
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