QCE Mathematical Methods EA Practice Units 3 & 4
Practice questions on differentiation, integration, discrete and continuous random variables, trigonometry, and statistical inference.
QCE Mathematical Methods Unit 3 ("Further calculus and introduction to statistics") and Unit 4 ("Further calculus, trigonometry and statistics") each cover five named topics. The EA contributes 50% of your subject result, the same weighting as the science 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, with the remaining 50% from internal assessments — the same 50/50 split used for the science subjects. The EA includes technology-free and technology-active sections testing problem-solving and mathematical reasoning.
Topics Covered
Unit 3: Further Calculus and Introduction to Statistics
- Topic 1: Differentiation of exponential and logarithmic functions
- Topic 2: Differentiation of trigonometric functions and differentiation rules
- Topic 3: Further applications of differentiation
- Topic 4: Introduction to integration
- Topic 5: Discrete random variables
Unit 4: Further Calculus, Trigonometry and Statistics
- Topic 1: Further integration
- Topic 2: Trigonometry
- Topic 3: Continuous random variables and the normal distribution
- Topic 4: Sampling and proportions
- Topic 5: Interval estimates for proportions
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
Questions are organised around 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 — the same weighting used for the QCE science subjects.
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