ATARMAxxing · Specialist Mathematics
QCE Specialist Mathematics Practice Questions
64 exam-style questions · full worked solutions
The 64 practice questions inside the QCE Specialist Mathematics Mastery Pack, grouped by area of study. Every question comes with a full worked solution.
- Further complex numbers and mathematical induction
- Multiple choice × 12
- Prove × 2
- Find and express × 1
- Apply and prove × 1
- Vectors and matrices in 3D
- Multiple choice × 12
- Determine × 1
- Solve × 1
- Find × 1
- Prove and hence × 1
- Vector calculus and motion
- Multiple choice × 12
- Determine × 1
- Calculate × 1
- Verify × 1
- Find × 1
- Calculus — integration, DEs and motion
- Multiple choice × 12
- Find × 2
- Solve × 1
- Determine × 1
Sample question
Paper 1 (technology-free). A cricket analyst models two influences on a ball as vectors a = 2i - j + 3k and b = i - 2k. The magnitude of the cross product a x b is:
- 3√2
- 3√6
- √66
- 9
Show the worked answer
Answer: B
a x b = (2,-1,3)x(1,0,-2) = (2, 7, 1); |a x b| = √(4+49+1) = √54 = 3√6.
Included in the QCE Specialist Mathematics Mastery Pack
20 full-length practice exams with worked solutions, 20 revision notes, 64 practice questions and 200 flashcards.
Unlock Specialist Mathematics — $20
Preview a sample note and question free on the QCE Specialist Mathematics hub →