Year 8 ratio and proportion test to download as PDF

This Year 8 ratio and proportion test lasts 45 minutes and is marked out of 20. It covers the whole chapter for pupils aged 12-13, and the full answers are on a separate page.

⏱️ Duration : 45 min
🎯 Total : 20 marks
❓ 5 questions

Mark/20

Question 1 – Ratio skills
Answer all parts. Show your working.
1. Simplify the ratio \(36:48\). (1 mark)
2. Write \(2.4:6\) in the form \(1:n\). (1 mark)
3. Share £90 in the ratio \(2:3:4\). (2 marks)
Question 2 – Proportion
Use the unitary method.
1. 6 notebooks cost £7.20. Find the cost of 10 notebooks. (2 marks)
2. A car travels 156 miles on 12 litres of petrol. How far can it go on 20 litres? (2 marks)
Question 3 – Inverse proportion and scale
Answer each part.
1. 5 builders take 12 days to build a wall. How long will 4 builders take? (2 marks)
2. A map has a scale of 1:25 000. Two towns are 8 cm apart on the map. Find the real distance in km. (2 marks)
Question 4 – Problem: the cake sale
Sam and Tia bake cakes for a cake sale. They make 72 cakes in the ratio of their ingredient contributions, Sam : Tia \(=5:3\). They sell each cake for £1.50 and share the money in the same ratio.
1. How many cakes did each person bake? (2 marks)
2. Find the total money from selling all the cakes. (1 mark)
3. How much does Tia receive? (1 mark)
Question 5 – Problem: best buy
A pack of 6 batteries costs £4.80. A pack of 10 batteries costs £7.60 and a pack of 24 batteries costs £17.
1. Work out the cost of one battery in each pack. (2 marks)
2. Which pack is the best value? (1 mark)
3. Zoe needs 40 batteries. What is the cheapest way to buy at least 40 using these packs? (1 mark)

How to use this Year 8 ratio and proportion test

First, revise with the ratio and proportion lesson and the worksheet. Then sit the test in one go, with a timer set to 45 minutes. After that, mark your work with the ratio and proportion test answers. If you lose marks on a question, redo it the next day without help.

Finally, you can download this Year 8 ratio and proportion test as a PDF and print it like a real exam paper. Moreover, all the pages of this chapter work together, so you can move between them at any time. For example, many pupils read the lesson on Monday, practise on Wednesday and test themselves on Friday.