ATARMAxxing · Mathematics Extension 2
HSC Mathematics Extension 2 Practice Questions
64 exam-style questions · full worked solutions
The 64 practice questions inside the HSC Mathematics Extension 2 Mastery Pack, grouped by area of study. Every question comes with a full worked solution.
- MEX-P1
- Multiple choice × 5
- Prove × 3
- MEX-P2
- Multiple choice × 4
- Prove × 3
- MEX-V1
- Multiple choice × 5
- Find × 2
- Prove × 1
- MEX-N1
- Multiple choice × 4
- Find × 4
- Prove × 1
- MEX-N2
- Multiple choice × 6
- Show × 2
- Find × 1
- Solve × 1
- Sketch × 1
- MEX-C1
- Multiple choice × 6
- Find × 3
- Evaluate × 1
- Show × 1
- MEX-M1
- Multiple choice × 6
- Prove × 1
- Find × 2
- Show × 1
Sample question
The complex number z = -1 + i√3 is expressed in the form r·e^(iθ) with -π < θ ≤ π. The value of θ is:
- π/3
- 2π/3
- -2π/3
- 5π/6
Show the worked answer
Answer: B
|z| = √((-1)² + (√3)²) = √4 = 2. The point (-1, √3) lies in the second quadrant. The reference angle is arctan(√3/1) = π/3, so arg(z) = π − π/3 = 2π/3, which lies in (−π, π]. Option B.
Included in the HSC Mathematics Extension 2 Mastery Pack
20 full-length practice exams with worked solutions, 20 revision notes, 64 practice questions and 200 flashcards.
Unlock Mathematics Extension 2 — $20
Preview a sample note and question free on the HSC Mathematics Extension 2 hub →