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.
Matching results: 77 indexed questions and parts.
Section B, Question 2(b)Question part (b)
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Estimated difficulty · Medium
b. Point P represents the complex number p and is the midpoint of U and W. 15 2021 SPECMATH EXAM 2 (NHT) d o n o t w r i t e i n t h i s a r e a TURN OVER
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i. Sketch the circle z i 3 1 on the Argand diagram in part b. 1 mark
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Question 5 Given the complex number z = a + bi, where a ∈ R\{0} and b ∈ R, 4 2 zz z z + ( ) is equivalent to A. 1 + Im( ) Re( ) z B. 4 Re( ) Im( ) z z × [ ] C. 4 2 2 Re
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Question 2 (11 marks) Two complex numbers, u and v, are defined as u = −2 − i and v = −4 − 3i.
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Report-based difficulty · EasyAverage marks: 85% of available · official reportFull marks: 74% of students · official report
b. Plot the points that represent u and v and the relation | z − u | = | z − v | on the Argand diagram below. 2 marks –5 5 5 –5 O Im(z) Re(z)
Search excerpt only. Open the original question for exact equations and diagrams.Source: 2020 Specialist Mathematics exam 2 · Report: 2020 Specialist Maths exam 2 reportSection B, Question 2(d)Question part (d)
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d. i. Sketch the ray given by Arg ( ) z u − = π 4 on the Argand diagram in part b. 1 mark
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Report-based difficulty · EasyAverage marks: 80% of available · official reportFull marks: 81% of students · official report
a. Show that 3 3 2 3 6 − = − i cis π . 1 mark
Search excerpt only. Open the original question for exact equations and diagrams.Source: 2019 Specialist Mathematics exam 1 · Report: 2019 Specialist Maths exam 1 reportSection B, Question 1(e)Question part (e)
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Estimated difficulty · Easy
e. Sketch L and the graph of z = 4 on the Argand diagram below. 2 marks 5 4 3 2 1 –1 –2 –3 –4 –5 O –5 –4 –3 –2 –1 1 2 3 4 5 Im(z) Re(z)
Search excerpt only. Open the original question for exact equations and diagrams.Source: 2019 VCE (NHT) Specialist Mathematics examination 2Section B, Question 2(a)(ii)Question part (a)(ii)
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ii. Plot the solutions of 2z2 + 4z + 5 = 0 on the Argand diagram below. 1 mark Im(z) Re(z) O −1 −3 −2 −1 1 2 3 1 2 3 −2 −3
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iii. Sketch the circle on the Argand diagram in part a.ii. Intercepts with the coordinate axes do not need to be calculated or labelled. 1 mark
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Report-based difficulty · EasyAverage marks: 90% of available · official reportFull marks: 83% of students · official report
a. Show that 1 2 4 + = i cis π . 1 mark
Search excerpt only. Open the original question for exact equations and diagrams.Source: 2018 Specialist Mathematics exam 1 · Report: 2018 Specialist Maths exam 1 reportQuestion 8(a)Question part (a)
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Estimated difficulty · Easy
a. Sketch the circle on the Argand diagram below. 1 mark 4 3 2 1 O –1 –2 –3 –4 –4 –3 –2 –1 1 2 3 4 Im(z) Re(z)
Search excerpt only. Open the original question for exact equations and diagrams.Source: 2018 VCE (NHT) Specialist Mathematics examination 1How to use ClassConnect past exam questions
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