QCE Specialist Mathematics 2027 Practice Pack 3
Year 12 · Comprehensive Practice Pack
Packs 1–4 follow the same course scope and learning structure, with different questions in each pack. Choose any pack to start.
90 practice questions
Worked solutions and marking guidance
258 practice marks · 2 PDF booklets
Learn as you go through Year 12
2027 Practice Packs are designed to support your learning from the start of your Year 12 course. Follow the topics you’re learning at school, work through the examples and practise at your own pace. You don’t need to finish the whole course before you start. Use the solutions and review guidance to understand mistakes, then return to mixed revision and course checks as you cover more topics.
Ten topic chapters across Units 3 and 4, with worked examples, selected-skill checks, mixed revision and a review sheet.
2027 edition · Year 12
Syllabus alignment: QCAA Specialist Mathematics 2025 v1.4 (March 2026), Units 3 and 4
Topic practice across 10 chapter groups in Units 3 and 4.
Syllabus baseline checked .Materials and format: Untimed practice using the Specialist Mathematics formula book. Follow each question's technology mode; technology-active tasks require approved calculator functionality with CAS disabled where stated.
What is inside Pack 3?
Build your skills one topic at a time across QCE Specialist Mathematics Units 3 and 4, then bring them together in checks and mixed revision.
- 10 topic sets with worked support, independent practice and self-checks.
- Two course checks and mixed revision, with the actual chapter counts listed below.
- Course-specific resource conditions stated in the question booklet.
- A printable skill review sheet to record what to revisit.
- Worked solutions, marking criteria, common errors and suggested next steps.
The 90-question total includes topic self-checks, course checks and mixed revision. The 10 worked examples are additional learning support.
Two PDFs in the pack
The question booklet and separate solutions booklet use matching question references.
Questions and learning activities
90 practice questions · 258 practice marks
Both units in one student booklet: worked examples, topic questions, two course checks, mixed revision and the review sheet.
Solutions and marking guidance
Worked solutions and marking criteria for every practice question, with common errors and suggestions for what to practise next.
Use this separate booklet to check your method after attempting the questions.
What Pack 3 covers
The contents below follow the order in the question booklet. Each topic set includes its final self-check.
- Check 1 — before directed practice3 questions
- Unit 3Complex numbers, roots and polynomial structure9 questions
- Unit 3Induction and multi-angle reasoning8 questions
- Unit 3Vectors and geometry in three dimensions8 questions
- Unit 3Vector calculus and motion8 questions
- Unit 3Matrices, systems and course investigations8 questions
- Unit 4Integration methods and inverse functions8 questions
- Unit 4Integral applications and exponential models8 questions
- Unit 4Differential equations and changing quantities8 questions
- Unit 4Forces and rectilinear dynamics8 questions
- Unit 4Sample means and interval estimates8 questions
- Mixed revision — connect representations3 questions
- Check 2 — after directed practice3 questions
Total: 90 questions · 258 practice marks
How to use this resource
- Start with a topic you are learning at school. You do not need to finish the whole course first.
- Review the topic prerequisites and worked example. Attempt its practice questions, then the final self-check independently.
- Use the separate solutions and marking guidance to check your reasoning and record a next step on your review sheet.
- If you want a starting check, try Check 1 on topics you have already studied before viewing its solutions. Record untaught material as “Not yet studied”.
- Return to mixed revision and Check 2 as you cover more topics and complete directed practice. Compare your independent work on the selected topics.
This is self-marked topic practice for Year 12 QCE Specialist Mathematics. Use it alongside your school materials. Practice marks are a review aid and do not predict an assessment grade or ATAR.
Start with the free sample
Pack 0 provides an independent topic-sized learning sequence with the same self-marking approach. Open its page to check current sample availability.
View Pack 0 — Free sample →Independent practice resource
Original Skill Align topic practice for the course and edition shown above. Skill Align is an independent publisher and is not affiliated with or endorsed by QCAA. The course checks support self-review; they do not predict an external examination grade or provide a validated diagnostic score.