VCE Specialist Mathematics Past Exam Questions
Browse VCE Specialist Mathematics exam questions from 2015–2026, including NHT and VCE papers. Filter by topic, year and paper; open the original source.
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Question 1(a)(ii)Question part (a)(ii)
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Estimated difficulty · Easy
ii. Find the speed of the car, in m s−1, when it has travelled 400 m. 1 mark
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Report-based difficulty · MediumAverage marks: 60% of available · official reportFull marks: 48% of students · official report
b. Hence or otherwise, solve the equation /(= Give your answers in Cartesian form. 2 marks o ° =) S H FE he ES @ El ? E
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Estimated difficulty · Easy
b. A second car accelerates in a straight line from rest, with constant acceleration, for 12 seconds. Given that the speed of this car is V m s−1 after 12 seconds, write down the a
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Report-based difficulty · MediumAverage marks: 50% of available · official reportFull marks: 49% of students · official report
c. Plot the solutions of (2) = 0 on the Argand diagram below. 1 mark Re(2) 4 2 £ 3 ° = o [=]
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Estimated difficulty · Easy
Question 2 (3 marks) Solve z i 4 8 8 3 , giving your answers in Cartesian form.
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Report-based difficulty · EasyAverage marks: 83.3% of available · official reportFull marks: 65% of students · official report
Question 2 (3 marks) Prove that if x is an odd integer then 2x> — 3x — 7 is even, using a direct proof.
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Estimated difficulty · Medium
Question 3 (6 marks) 1? Let RVI} > R. f(x) = & bv (x+1) B The rule /(x) can be written in the form f(x) = A+ —— + ——— where 4, B, C & Z. x+l (x+1)*
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Report-based difficulty · EasyAverage marks: 70% of available · official reportFull marks: 63% of students · official report
a. Show thatA=1,B=—4and C=4. 1 mark o ° =) S H FE he
Search excerpt only. Open the original question for exact equations and diagrams.Source: 2024 VCE Specialist Mathematics examination 1 · Report: 2024 VCE Specialist Mathematics 1 external assessment report (DOCX, 556.03 KB)Question 3(a)Question part (a)
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Estimated difficulty · Easy
a. Find the coordinates of the points of inflection of the graph of y = x4 − 6x2 + 4. 2 marks
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Estimated difficulty · Medium
b. Hence, or otherwise, find all values of x for which the graph of y = x4 − 6x2 + 4 is concave up. 1 mark N H T
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Report-based difficulty · EasyAverage marks: 80% of available · official reportFull marks: 65% of students · official report
b. The graph of / has one turning point. Find the coordinates of this turning point. 2 marks
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Report-based difficulty · DifficultAverage marks: 33.3% of available · official reportFull marks: 10% of students · official report
c. Sketch the graph of y= f(x) on the set of axes below. Label the asymptotes with their equations and the axial intercepts with their coordinates. 3 marks, y | A 6 4 2 > x —=6 4 2
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