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Free Year 11 Algebra Quiz — 10 Questions, Instant Results

10 questions on algebra, pitched at Year 11, marked instantly with an explanation for every item. The set is chosen from 11 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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✅ VCE study design aligned⚡ Instant marking + explanations📚 3,261 free practice questions

Free practice quizzesYear 11 Maths (VCE) quiz › Algebra

What Year 11 students need to know about algebra

A short orientation first. Year 11 algebra covers index and logarithm laws, polynomials and the factor theorem, algebraic fractions, literal equations and the algebraic manipulation that Units 1 and 2 of Methods and General rely on.

Our tutors wrote and checked these questions against the VCE study design, which is why the wording and the difficulty match what a Year 11 student meets at school.

The usual algebra errors at Year 11

If your child gets a question wrong here, it is worth checking whether one of these is behind it. They are the algebra misconceptions RHZ tutors correct most often with Year 11 students:

Each of these is fixable in a session or two once it has been named, which is why the results panel below shows the correct answer and an explanation rather than just a score.

How to practise algebra at home

Practice works when it is short, regular and specific. For algebra, our tutors suggest:

  1. Keep a running list of algebraic slips and re-do them.
  2. Practise the log laws alongside the index laws.
  3. Use the factor theorem to factorise cubics and check by expansion.

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.

How this algebra quiz works

We keep 11 algebra questions for Year 11 that meet our standard, at the easy and at-level tiers, and this page serves 10 of them at a time. The default set is stable, so a teacher or parent can share the link; a fresh set is one click away. Marking happens on our server so the answer key cannot be read from the page.

Use this page to answer one question well: is algebra secure at Year 11 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.

The quiz: 10 questions

Choose one answer for each question, then press Mark my answers. Set 75082 · New set of questions →

Question 1
Algebra

Solve: 4x = 28.

Question 2
Algebra

The polynomial p(x) = x³ + 3x² − 4x − 12 is to be fully factorised. Which of the following is the correct complete factorisation?

Question 3
Algebra

Expand: (x + 5)(x − 2).

Question 4
Algebra

Solve: 2x + 5 = 17.

Question 5
Algebra

Expand: 3(2x − 4).

Question 6
Algebra

A cubic polynomial has roots at x = −1, x = 2 and x = 4. When expanded, the coefficient of x² is −5. What is the leading coefficient of the polynomial?

Question 7
Algebra

Solve x² − 4x + 3 = 0.

Question 8
Algebra

For the polynomial p(x) = x³ − 6x² + 11x − 6, the three roots are consecutive integers. If a new polynomial is formed whose roots are the squares of the roots of p(x), what is the sum of the roots of the new polynomial?

Question 9
Algebra

Factorise: x² + 6x + 8.

Question 10
Algebra

Simplify: 5a + 3a − a.

How to read a score out of 10

9 or 10 out of 10
The easy and at-level content is secure. The useful question now is how far above the year level the student can go, which a ten-item quiz cannot show. The free Skills Check adds stretch and challenge questions on every topic so you can see the ceiling as well as the floor.
7 or 8 out of 10
Solid, with one or two specific gaps. Look at which topic the incorrect answers came from (the results panel names the weakest topic) and spend a week on that topic before re-testing with a different seed.
5 or 6 out of 10
Some core ideas are shaky. The pattern matters more than the score: two misses in the same topic is a gap; misses scattered across topics usually means reading the question too fast. Either way, the Skills Check will tell you which.
4 or fewer out of 10
Foundations from an earlier year are probably missing, which is common and fixable. Try the quiz one year level down to confirm, then talk to a tutor about a short catch-up plan rather than more of the same practice.

What to do with the result

1. Want the full picture?

The free Skills Check takes about 15 minutes, covers every Year 11 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.

Start the free Skills Check →

2. Printable practice with answers

Our Year 11 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.

Browse practice papers →

3. Tutoring in Melbourne's west or online

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.

See Maths tutoring → All tutoring →

Questions? Call 03 9509 3293 or book a free consultation. RHZ Tutoring, 17/47 Apex Drive, Truganina VIC 3029.

Frequently asked questions

Is this Year 11 algebra quiz free?

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.

Why only 10 questions on one topic?

Because a single-topic set is the most precise free check available: if the score is low, the gap is in algebra and nowhere else. There are 11 eligible questions on this topic in our Year 11 Maths bank, so several different sets are available before any repeat.

Where do the algebra questions come from?

From RHZ Tutoring's own Year 11 Maths 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. The questions on this page sit at the easy and at-level tiers.

What should I do if the score is low?

Read the explanation for each incorrect answer first; most gaps in algebra 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.

Is there a mixed Year 11 Maths quiz?

Yes. The Year 11 Maths 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.

Other Maths topics for Year 11

Mixed Year 11 Maths (VCE) quiz (all topics) →

All 3,261 free practice questions, Prep to Year 12 →