QCE Mathematical Methods EA Practice Units 3 & 4
Practice questions on differentiation, integrals, further calculus, probability, and statistics.
QCE Mathematical Methods Units 3 and 4 cover further differentiation and applications, integrals, further calculus, and probability and statistics. The EA contributes 50% of your subject result for Mathematics — higher than most other subjects. Revizi’s practice questions cover the full range of problem types and difficulty levels you’ll encounter in the external assessment.
External Assessment: External assessments (EAs) are centrally set examinations developed by QCAA for each General subject. For Mathematical Methods, the EA contributes 50% of the overall subject result (higher than most subjects), with the remaining 50% from internal assessments. The EA includes technology-free and technology-active sections testing problem-solving and mathematical reasoning.
Topics Covered
Unit 3 Topic 1: Further differentiation and applications
- Chain, product and quotient rules
- Differentiation of trigonometric functions
- Rates of change and related rates
- Optimisation problems
Unit 3 Topic 2: Integrals
- Anti-differentiation techniques
- Definite integrals and area under curves
- Integration by substitution
- Applications of integration
Unit 4 Topic 1: Further calculus
- Differential equations
- Exponential growth and decay models
- Applications of calculus to motion
- Numerical integration techniques
Unit 4 Topic 2: Further probability and statistics
- Continuous random variables
- Normal distribution and z-scores
- Sampling distributions
- Confidence intervals and hypothesis testing
Question Types
Multiple-Choice Questions
Practice MCQs covering Unit 3 and 4 content from the QCAA syllabus.
Short Response Questions
Build technique with 2–5 mark responses requiring precise, evidence-based answers.
Extended Response
Practice 8–15 mark essays requiring structured arguments and analysis.
Stimulus-Based Questions
Analyse data, case studies and source material in context.
How Revizi Helps
QCAA Syllabus Alignment
Every question maps to QCAA syllabus content from Units 3 & 4.
Spaced Repetition
Weak areas are automatically scheduled for review to build long-term retention.
Performance Tracking
Monitor your accuracy across units and topics to prioritise remaining study time.
Related Practice Pages
Frequently Asked Questions
How much does the QCE Methods EA count?
For Mathematical Methods, the EA contributes 50% of your overall subject result — higher than most other General subjects where it’s 25%.
Does the QCE Methods EA have a non-calculator section?
Yes. The EA includes a technology-free section (no calculator) and a technology-active section where a graphics calculator is permitted.
Are these actual past EA questions?
No. Revizi generates original practice questions aligned to QCAA syllabus content for Mathematical Methods Units 3 & 4.
Last updated: March 2026