Free QCE Mathematical Methods practice exam
Mathematical Methods · 100% original QCE Vault practice questions.
A free QCE Mathematical Methods practice exam made entirely from our original practice question bank. Work through timed papers, print an offline attempt, then use the worked solutions and marking criteria to assess your responses.
Paper 1
5 minutes perusal + 90 minutes working · 55 marks
Calculators not permitted
- Multiple choice: 10 questions · 10 marks
- Short response: 9 questions · 45 marks
Paper 2
5 minutes perusal + 90 minutes working · 55 marks
QCAA-approved calculator permitted
- Multiple choice: 10 questions · 10 marks
- Short response: 9 questions · 45 marks
Syllabus coverage and exam format
Covers differentiation, exponential models, integration, discrete and continuous random variables, and statistical inference. Each paper uses a 60% / 20% / 20% difficulty split by existing bank labels. No progressions or integration-by-recognition tasks are included.
Uses the 2025 v1.3 syllabus for students completing in 2026. Past QCAA papers guide the structure and timing; all selected questions are original QCE Vault practice questions.
How this exam was assembled
Based on the question counts, mark allocations, stimulus and response lengths in the 2020–2025 QCAA papers, using the current 2025 v1.3 syllabus for students completing in 2026. Every question comes from the original practice bank. Past QCAA papers guide the format, timing and length only; no past-paper questions are included. The total marks reflect the selected questions.
Covers differentiation, exponential models, integration, discrete and continuous random variables, and statistical inference. Each paper uses a 60% / 20% / 20% difficulty split by existing bank labels. No progressions or integration-by-recognition tasks are included.
Current syllabus · Past papers and current resource books · 2026 changes