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Free Year 8 Area & volume Quiz — 10 Questions, Instant Results

10 questions on area and volume, pitched at Year 8, 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.

Start the quiz ↓   Or take the free 15-minute Skills Check →

✅ Victorian Curriculum aligned⚡ Instant marking + explanations📚 3,261 free practice questions

Free practice quizzesYear 8 Maths quiz › Area & volume

What Year 8 students need to know about area and volume

A short orientation first. Year 8 measurement covers the area of triangles, parallelograms, trapeziums, rhombuses and kites, the circumference and area of circles, the volume of prisms and cylinders, and converting between units of area and volume.

Our tutors wrote and checked these questions against the Victorian Curriculum, which is why the wording and the difficulty match what a Year 8 student meets at school.

The usual area and volume errors at Year 8

If your child gets a question wrong here, it is worth checking whether one of these is behind it. They are the area and volume misconceptions RHZ tutors correct most often with Year 8 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 area and volume at home

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

  1. Work with real objects: cans, boxes and tiles.
  2. Highlight the perpendicular height on every diagram before calculating.
  3. Build a formula sheet in your own words.

For Years 7 to 10, practise the way a test is sat: mixed questions, time limits, full working. Then mark it honestly and re-do the errors.

How this area and volume quiz works

The 10 questions are drawn from 11 eligible items on area and volume in our Year 8 maths bank, all at the easy and at-level tiers. 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 area and volume, 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 8 maths topics are equally secure, or how far above the year level the student can go; the free Skills Check covers both.

The quiz: 10 questions

Choose one answer for each question, then press Mark my answers. Set 16082 · New set of questions →

Question 1
Area & volume

The area of a circle radius 7 cm (use π ≈ 22/7) is?

Question 2
Area & volume

A triangle has base 10 cm, height 6 cm. Its area is?

Question 3
Area & volume

A box 2 cm by 3 cm by 5 cm has volume?

Question 4
Area & volume

A rectangle is 9 cm by 4 cm. Its area is?

Question 5
Area & volume

A triangular prism has a triangular face with base 8 cm and height 5 cm. The prism is 12 cm long. What is the volume of the prism?

Question 6
Area & volume

A trapezium with parallel sides 6 cm and 10 cm, height 4 cm has area?

Question 7
Area & volume

A cylinder radius 3 cm, height 10 cm (π ≈ 3.14) has volume?

Question 8
Area & volume

The circumference of a circle radius 7 cm (π ≈ 22/7) is?

Question 9
Area & volume

A square has its side length doubled. By what factor does its area increase?

Question 10
Area & volume

A composite shape consists of a rectangle 14 cm wide and 6 cm tall, with a right triangle removed from one corner. The triangle has a base of 4 cm and a height of 6 cm. What is the area of the remaining shape?

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 8 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 8 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 8 area and volume 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 area and volume and nowhere else. There are 11 eligible questions on this topic in our Year 8 Maths bank, so several different sets are available before any repeat.

Where do the area and volume questions come from?

From RHZ Tutoring's own Year 8 Maths question bank, written to the Victorian Curriculum, 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 area and volume 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 8 Maths quiz?

Yes. The Year 8 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 8

Mixed Year 8 Maths quiz (all topics) →

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