8 questions on calculus and differential equations, pitched at Year 12, marked instantly with an explanation for every item. The set is chosen from 8 curriculum-aligned questions on this topic, one slice of the 3,261 free practice questions on this site, and you can get a fresh set with one click.
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Free practice quizzes › Year 12 Specialist Mathematics quiz › Calculus & differential equations
A short orientation first. In Units 3 and 4 calculus covers integration techniques (substitution, partial fractions, trig identities), first-order differential equations, Euler's method, slope fields and related rates.
Our tutors wrote and checked these questions against the VCE study design, which is why the wording and the difficulty match what a Year 12 student meets at school.
If your child gets a question wrong here, it is worth checking whether one of these is behind it. They are the calculus and differential equations misconceptions RHZ tutors correct most often with Year 12 students:
Spotting which one applies is the useful part; the fix is usually quick once the misunderstanding is out in the open.
Practice works when it is short, regular and specific. For calculus and differential equations, our tutors suggest:
For VCE maths, fluency in the foundations frees up working memory for the extended questions. Do a short mixed set daily and a timed paper each fortnight.
The 8 questions are drawn from 8 eligible items on calculus and differential equations in our Year 12 Specialist Mathematics bank, including some stretch-tier questions so there are enough to make a full set. The selection is fixed for this address so a shared link shows the same quiz; press New set of questions or add ?seed= to the address for a different mix. Options are shuffled, no two questions share a stem, and the answer key is fetched from our server only after you submit, so it is not hidden in the page.
Because every question here is on calculus and differential equations, a low score is a clear signal and a high score is genuinely reassuring for this topic. What it cannot tell you is whether the other Year 12 Specialist Mathematics topics are equally secure, or how far above the year level the student can go; the free Skills Check covers both.
Choose one answer for each question, then press Mark my answers. Set 15785 · 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 calculus and differential equations 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 calculus and differential equations 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) →