01
Pick a topic
Choose one of the Specialist Mathematics topics above or type your own, then pick your state. WACE, VCE, HSC, QCE and SACE each word their questions differently, and the paper follows yours.
02
Attempt it yourself
Exam-style questions with the mark allocation showing, so you know how much to write. You answer them — nothing is handed to you.
Find all solutions to z³ = 8i, giving your answers in Cartesian form. (6 marks)
03
Get it marked
Your answer comes back marked criterion by criterion in seconds — what you earned, what you half-earned, and what the examiner never saw.
6/6 · ✓ Converts 8i to polar form with a correct modulus and argument
04
Fix the gap
The topics you keep losing marks on come back around in your review until they're strong. That's the whole point.
complex numbers and De Moivre’s theorem
Choose your system
WACEVCEHSCQCESACE
Then your topic
complex numbers and De Moivre’s theoremloci in the complex planevectors in three dimensionsvector equations of lines and planes
Find all solutions to z³ = 8i, giving your answers in Cartesian form. (6 marks)
Specialist Mathematics · VCE
Marked in seconds
✓ Converts 8i to polar form with a correct modulus and argument
✓ Applies De Moivre’s theorem with the general 2kπ/3 spacing
✓ Finds all three roots rather than the principal one
✓ Converts every root back to Cartesian form as the question required
Weak topics, resurfacing
complex numbers and De Moivre’s theorem
loci in the complex plane
vectors in three dimensions