Free · No sign-up · Year 8 · Maths · Pythagoras

Free Year 8 Pythagoras Quiz — 10 Questions, Instant Results

A single-topic check for Year 8 maths: 10 multiple-choice questions on Pythagoras, selected from 11 items our tutors have checked, marked on the page with explanations. It is one of the 3,261 free practice questions across our whole bank, and there is nothing to sign up for.

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 › Pythagoras

What Pythagoras covers in Year 8 maths

Before the quiz, here is what the topic means at this level. Year 8 introduces Pythagoras' theorem for right-angled triangles: finding the hypotenuse, finding a shorter side, testing whether a triangle is right-angled, and applying the theorem to practical problems.

Every question on this page was written to a specific Victorian Curriculum reference for Year 8 and checked by an RHZ tutor before it could be served.

Where Year 8 students go wrong with Pythagoras

Most errors in Pythagoras are not random. When Year 8 students sit our Skills Check, the same handful of misunderstandings account for the majority of lost marks:

Spotting which one applies is the useful part; the fix is usually quick once the misunderstanding is out in the open.

What to do if Pythagoras needs work

Three things a parent or student can do this week:

  1. Learn the common triads (3-4-5, 5-12-13) to sanity-check answers.
  2. Practise finding a shorter side as often as the hypotenuse.
  3. Draw right triangles from real objects such as ladders and ramps.

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 the 10 questions are chosen

The 10 questions are drawn from 11 eligible items on Pythagoras 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.

Use this page to answer one question well: is Pythagoras secure at Year 8 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 14853 · New set of questions →

Question 1
Pythagoras

The longest side of a right triangle is the?

Question 2
Pythagoras

Legs 9 cm and 12 cm. The hypotenuse is?

Question 3
Pythagoras

The diagonal of a rectangle 8 cm by 15 cm is?

Question 4
Pythagoras

Which of the following sets of three lengths forms a right-angled triangle? Select the correct set.

Question 5
Pythagoras

Point A is at (1, 2) and point B is at (7, 10) on a coordinate grid. Which calculation gives the exact length of AB?

Question 6
Pythagoras

Hypotenuse 13 cm, one leg 12 cm. Other leg?

Question 7
Pythagoras

A ramp rises 1.2 m over a horizontal distance of 3.5 m. What is the length of the ramp surface, correct to two decimal places?

Question 8
Pythagoras

Which is Pythagoras' theorem?

Question 9
Pythagoras

Legs 6 cm and 8 cm. The hypotenuse is?

Question 10
Pythagoras

What is 5²?

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 Pythagoras 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 Pythagoras 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 Pythagoras 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 Pythagoras 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 →