QCE Specialist Mathematics free practice questions with answers
Read question 1 and its full worked answer from paper 1 of our 20-paper QCE Specialist Mathematics set, then download the 4-page PDF. These are original practice questions, not official past papers. Page updated 3 November 2026.
The modulus of (1 + 5i)(2 + i) is
A 130
B √7
C √5 + √26
D √130
Correct answer: D — √130
- |z₁z₂| = |z₁||z₂|.
- = √(26) × √(5) = √130.
- Why the other options are wrong:
- A (130): Take the square root.
- B (√7): Use |z₁||z₂|.
- C (√5 + √26): The modulus of a product is the PRODUCT of the moduli, not the sum.
|z₁z₂| = |z₁||z₂|: multiply the moduli.
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Questions about this sample
What is in the QCE Specialist Mathematics free sample?
The first 3 questions from paper 1 of the set, in the real exam layout, followed by the step-by-step worked answers. It is a 4-page PDF; this page shows question 1 with its answer.
How many full QCE Specialist Mathematics papers are there?
20 original papers for Queensland Year 12 students (QCE). Each is a technology-free paper with 10 multiple-choice questions plus short response (60 marks), 5 minutes perusal and 90 minutes working time, with a worked solution for every question. Papers start at A$15.99 and download instantly as a PDF.
Are these official past papers?
No. The sample is taken from our own original practice paper and is not an official past paper or affiliated with any exam authority.