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Free Year 7 Ratios & rates Quiz — 10 Questions, Instant Results

This free Year 7 ratios and rates quiz asks 10 multiple-choice questions on one topic only, drawn from 12 tutor-checked items, and marks them the moment you press submit. It is part of RHZ Tutoring's bank of 3,261 free practice questions: no sign-up, no email, no download.

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

Free practice quizzesYear 7 Maths quiz › Ratios & rates

Ratios & rates at Year 7: what the curriculum expects

In Year 7 ratio and rate work includes simplifying ratios, dividing a quantity in a given ratio, equivalent ratios, unit rates, average speed and best-buy comparisons.

This topic sits inside the Victorian Curriculum for Year 7 maths; the questions stay at the easy and at-level tiers so the result is a fair check of the foundations.

Common ratios and rates misconceptions tutors see

The distractors in this quiz are built from real misconceptions rather than random wrong numbers, so a specific wrong answer usually points to a specific gap. The ones we see most at Year 7:

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.

Practising ratios and rates with a Year 7 student

The habits that move ratios and rates from shaky to secure at Year 7:

  1. Use ratio tables to divide quantities and check the parts add to the total.
  2. Compare unit prices at the supermarket.
  3. Calculate average speed for real trips.

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.

About the questions on this page

We keep 12 ratios and rates questions for Year 7 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.

A single-topic quiz is more precise than a mixed one: if the score here is low, the gap is in ratios and rates, not somewhere in Year 7 maths generally. It is still short, though, and it cannot show how a student copes with the stretch and challenge questions that decide a top result. That is what the free Skills Check adds.

The quiz: 10 questions

Choose one answer for each question, then press Mark my answers. Set 71273 · New set of questions →

Question 1
Ratios & rates

A bottle of shampoo costs $4.80 for 300 mL. A larger bottle costs $7.20 for 500 mL. A student says the larger bottle is better value. Is the student correct?

Question 2
Ratios & rates

Simplify the ratio 10 : 15.

Question 3
Ratios & rates

Share $30 in the ratio 2 : 3. The larger share is:

Question 4
Ratios & rates

A map scale is 1 : 100. A 4 cm length represents:

Question 5
Ratios & rates

A car uses 9 litres of fuel to travel 108 km. At the same rate, how far can it travel on a full tank of 45 litres?

Question 6
Ratios & rates

A tap fills 15 litres in 3 minutes. In 8 minutes it fills:

Question 7
Ratios & rates

A car travels 120 km in 2 hours. Its speed is:

Question 8
Ratios & rates

If 2 : 5 = 6 : x, then x =

Question 9
Ratios & rates

A recipe uses flour and sugar in the ratio 5 : 2. Mia has 350 g of flour and plenty of sugar. What is the maximum amount of sugar she should use to keep the ratio correct?

Question 10
Ratios & rates

Simplify the ratio 4 : 8.

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 ratios and rates 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 ratios and rates and nowhere else. There are 12 eligible questions on this topic in our Year 7 Maths bank, so several different sets are available before any repeat.

Where do the ratios and rates 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 ratios and rates 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) →

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