Want to know whether complex numbers is secure at Year 12 level? Answer 8 questions here, see the score and the correct answers straight away, and then try a new set. Everything is free, part of 3,261 free practice questions RHZ Tutoring publishes, and nothing about your child is collected.
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Free practice quizzes › Year 12 Specialist Mathematics quiz › Complex numbers
Here is the ground the questions cover. In Units 3 and 4 complex numbers extend to polar form, de Moivre's theorem, roots of complex numbers, factorising polynomials over the complex numbers and sketching regions in the complex plane.
The items are tagged to the VCE study design for Year 12, so a score here reflects the standard a Year 12 class is working to, not a generic online level.
A wrong answer is more useful than a right one if you know why it happened. In sessions with Year 12 students, these are the patterns our tutors see most:
None of these is a sign of low ability. Each is a reasonable idea that worked in an earlier year and needs replacing, which is exactly what a good explanation, or a tutor, does.
If the quiz shows a gap, more of the same worksheets rarely fixes it. Try these instead:
At VCE, practise by hand for Exam 1 and with the CAS for Exam 2, use past papers under time and mark against the examiners' reports. Fix the errors the same week.
Every set on this page is a seeded selection of 8 from the 8 complex numbers questions that pass our quality gate (this topic includes a few stretch-tier items to fill the set). A different seed gives a different set, and there are many more combinations than any one student will need. The correct answers never appear in the page source; the browser asks our server for them after you press Mark my answers.
Use this page to answer one question well: is complex numbers secure at Year 12 level? For the broader picture across every topic and every difficulty tier, the free Skills Check takes about fifteen minutes and produces a report a tutor walks you through.
Choose one answer for each question, then press Mark my answers. Set 40988 · New set of questions →
The free Skills Check takes about 15 minutes, covers every Year 12 topic including stretch and challenge questions, and sends a same-day topic-by-topic report. A tutor calls to walk you through it, no obligation.
Our Year 12 practice papers are full-length, curriculum-aligned and come with worked answers, so a student can practise on paper the way the real test is sat.
Small groups from $25 an hour and 1:1 from $35 an hour at our Truganina centre, or online anywhere in Australia. Same tutors, same Skills Check, same progress notes either way.
Questions? Call 03 9509 3293 or book a free consultation. RHZ Tutoring, 17/47 Apex Drive, Truganina VIC 3029.
Yes, completely: no sign-up, no email, no payment, and you can take it as many times as you like. It is one of 3,261 free practice questions RHZ Tutoring publishes across Prep to Year 12. Press New set of questions, or add ?seed= to the address, for a different selection from the same topic.
Because a single-topic set is the most precise free check available: if the score is low, the gap is in complex numbers and nowhere else. There are 8 eligible questions on this topic in our Year 12 Specialist Mathematics bank, so several different sets are available before any repeat.
From RHZ Tutoring's own Year 12 Specialist Mathematics question bank, written to the VCE study design, checked by a tutor and passed through an automated quality gate. The same bank feeds our tutoring sessions and the free Skills Check. This topic includes a few stretch-tier questions so that a full set is available.
Read the explanation for each incorrect answer first; most gaps in complex numbers are one of the misconceptions listed on this page. Then try a second set a few days later. If it is still low, the free Skills Check will show whether the gap is confined to this topic, and a tutor can build a short catch-up plan.
Yes. The Year 12 Specialist Mathematics quiz spreads ten questions across every topic for the year, and the hub lists topic quizzes for every year level from Prep to Year 12.
Mixed Year 12 Specialist Mathematics quiz (all topics) →