VCE Specialist Mathematics 2027 Practice Pack 4
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
273 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 whole-course workshops and ten additional examples, two selected-skill checks, mixed revision and a review sheet; each activity states its technology mode.
2027 edition · Year 12
Syllabus alignment: VCAA Mathematics Study Design v1.1 (November 2022), Specialist Mathematics Units 3–4, from 2023
Topic practice across 10 chapter groups in Units 3 and 4.
Syllabus baseline checked .Materials and format: Untimed practice with technology-free and technology-active tasks. Use the VCAA formula sheet; approved technology and a bound reference support technology-active work. Follow each question's mode.
What is inside Pack 4?
Build your skills one topic at a time across VCE 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 · 273 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 4 covers
The contents below follow the order in the question booklet. Each topic set includes its final self-check.
- Check 1 — establish a reasoning record3 questions
- Logic, quantifiers and proof8 questions
- Complex algebra, roots and geometry8 questions
- Rational and quotient function evidence8 questions
- Advanced differentiation and related rates8 questions
- Integration techniques and geometric measurement8 questions
- Differential equations and numerical models8 questions
- Vectors, geometry, lines and planes8 questions
- Rectilinear and vector kinematics8 questions
- Random combinations, sample means and intervals8 questions
- Hypothesis tests for a population mean8 questions
- Mixed revision — connect representations4 questions
- Check 2 — defend a fresh conclusion3 questions
Total: 90 questions · 273 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 VCE 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 VCAA. The course checks support self-review; they do not predict an external examination grade or provide a validated diagnostic score.