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.

Indexed questions and parts1,669in Specialist Mathematics
Subject banks1subject
Exam years2015–2026Available in this subject

Matching results: 77 indexed questions and parts.

Section B, Question 2(e)Question part (e)

Specialist Mathematics2016VCE21 marks
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Report-based difficulty · MediumAverage marks: 40% of available · official reportFull marks: 34% of students · official report

e. Sketch the ray given by Arg z ( ) = − 3 4 π on the Argand diagram in part c. 1 mark

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Source: 2016 Specialist Mathematics exam 2 · Report: 2016 Specialist Maths exam 2 report

Section 1, Question 5

Specialist Mathematics2015VCE2
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Estimated difficulty · Medium

Question 5 Given z i i = + + 1 3 1 , the modulus and argument of the complex number z5 are respectively A. 2 2 5 6 and B. 4 2 5 12 C. 4 2 7 D. 2 2 5 E. 4 2 12 and − π

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Source: 2015 Specialist Mathematics exam 2

Section 1, Question 9

Specialist Mathematics2015VCE2
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Estimated difficulty · Easy

Question 9 Let z1 = r1cis(θ1) and z2 = r2cis(θ2), where z1 and z1z2 are shown in the Argand diagram below; θ1 and θ2 are acute angles. Im(z) Re(z) z1z2 z1 O A statement that is nec

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Source: 2015 Specialist Mathematics exam 2

Section 2, Question 2(a)Question part (a)

Specialist Mathematics2015VCE22 marks
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Estimated difficulty · Easy

a. i. On the Argand diagram below, plot and label the points 0 + 0i and 1 3 + i . 2 marks –3 –2 –1 –1 1 2 3 –2 –3 2 3 1 O Im(z) Re(z) 15 2015 SPECMATH EXAM 2 TURN OVER

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Source: 2015 Specialist Mathematics exam 2

Section 2, Question 2(a)(ii)Question part (a)(ii)

Specialist Mathematics2015VCE22 marks
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Estimated difficulty · Easy

ii. On the same Argand diagram above, sketch the line z i z − + ( ) = 1 3 and the circle z − = 2 1 . 2 marks

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Source: 2015 Specialist Mathematics exam 2
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