Free · No sign-up · Year 7 · Maths · Geometry

Free Year 7 Geometry Quiz — 10 Questions, Instant Results

Want to know whether geometry is secure at Year 7 level? Answer 10 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.

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 7 Maths quiz › Geometry

Geometry in Year 7 maths

Here is the ground the questions cover. Year 7 geometry is about angle reasoning: vertically opposite angles, angles on a straight line and at a point, the angles made by parallel lines and a transversal, the angle sum of a triangle and quadrilateral, classifying triangles and quadrilaterals, and plotting on the Cartesian plane.

The items are tagged to the Victorian Curriculum for Year 7, so a score here reflects the standard a Year 7 class is working to, not a generic online level.

Mistakes we see most often in geometry

A wrong answer is more useful than a right one if you know why it happened. In sessions with Year 7 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.

Ways to build geometry at Year 7

If the quiz shows a gap, more of the same worksheets rarely fixes it. Try these instead:

  1. Use a protractor on angles you have estimated first.
  2. Fold paper along a mirror line and draw the reflection before checking.
  3. Build 3D shapes from nets and count faces, edges and vertices.

In secondary school the lift comes from regular independent practice with worked solutions to check against, and from fixing errors the same day. Twenty minutes, four times a week, is enough.

How the 10 questions are chosen

The 10 questions are drawn from 14 eligible items on geometry in our Year 7 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 geometry, 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 7 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 87640 · New set of questions →

Question 1
Geometry

A triangle has angles 40° and 65°. The third angle is:

Question 2
Geometry

Two angles on a straight line — one is 130°. The other is:

Question 3
Geometry

An isosceles triangle has one angle of 110°. What are the sizes of the other two angles?

Question 4
Geometry

A rectangle is 5 cm by 3 cm. Its perimeter is:

Question 5
Geometry

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

Question 6
Geometry

The area of a 5 cm by 3 cm rectangle is:

Question 7
Geometry

The exterior angle of a triangle is 125°. One of the two interior angles not next to the exterior angle is 60°. What is the other interior angle not next to the exterior angle?

Question 8
Geometry

Two lines cross; one angle is 70°. The vertically opposite angle is:

Question 9
Geometry

An angle of exactly 90° is called:

Question 10
Geometry

A triangle has base 8 cm and height 5 cm. Its area is:

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 7 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 7 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 7 geometry 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 geometry and nowhere else. There are 14 eligible questions on this topic in our Year 7 Maths bank, so several different sets are available before any repeat.

Where do the geometry questions come from?

From RHZ Tutoring's own Year 7 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 geometry 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 7 Maths quiz?

Yes. The Year 7 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 7

Mixed Year 7 Maths quiz (all topics) →

Geometry in other year levels

Year 5 Geometry

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