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.
Question 1(b)Question part (b)
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Report-based difficulty · MediumAverage marks: 60% of available · official reportFull marks: 54% of students · official report
b. Let f(x) =log, Find /'(3) 2 marks o 1 3 ° a g () 5 @ = ®
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Report-based difficulty · MediumAverage marks: 56.7% of available · official reportFull marks: 37% of students · official report
Question 2 (3 marks) Consider the simultaneous linear equations 3ke—2y=k+4 (k—a)x+hy=—k where x, y € R and k is a real constant. Determine the value of & for which the system of eq
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Estimated difficulty · Medium
Question 2 (5 marks) Consider the simultaneous linear equations ax + (2 – a)y = 3 x ay a 2 1 2 where a ∈ R and x, y ∈ R.
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Estimated difficulty · Easy
a. Find the value of a for which there are infinitely many solutions. 3 marks
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Estimated difficulty · Easy
b. Find the values of a for which there is a unique solution. 1 mark
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Estimated difficulty · Easy
c. Find a value of a such that the lines meet at right angles. 1 mark N H T
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Estimated difficulty · Medium
Question 3 (5 marks) Let g:R\{-3} > R, g(x)= -2, [aed] +3)?
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Estimated difficulty · Medium
Question 3 (5 marks) Let f : D → R, f (x) = 3loge(2 − x), where D is the domain for f.
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Estimated difficulty · Easy
a. State the maximal domain for f (x). 1 mark
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Report-based difficulty · EasyAverage marks: 70% of available · official reportFull marks: 42% of students · official report
a. On the axes below, sketch the graph of y = g (x), labelling all asymptotes with their equations and axis intercepts with their coordinates 3 marks y A
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 3(b)Question part (b)
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Report-based difficulty · MediumAverage marks: 40% of available · official reportFull marks: 27% of students · official report
b. Determine the area of the region bounded by the line x = —2, the x-axis, the y-axis and the graph of y = g(x). 2 marks o 1 3 ° a g () 5 @ = ®
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 3(b)Question part (b)
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Estimated difficulty · Easy
b. Sketch the graph of y = f (x), labelling the asymptote with its equation and the axial intercepts with their coordinates. 3 marks y x O
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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