Year 8 circles test to download as PDF

This Year 8 circles 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 – Circumference and area
Use the π button on your calculator and give answers to 1 decimal place.
1. A circle has radius 9 cm. Find its circumference. (2 marks)
2. A circle has diameter 14 cm. Find its area. (2 marks)
Question 2 – Working backwards
Use \(\pi=3.14\).
1. The circumference of a circle is 37.68 cm. Find the diameter and the radius. (2 marks)
2. The area of a circle is 200.96 cm². Find the radius. (2 marks)
Question 3 – Semicircle
A semicircular flower bed has a diameter of 10 m.
1. Find its area. (2 marks)
2. Find its perimeter, including the straight edge. (2 marks)
Question 4 – Problem: the roundabout
A circular roundabout has radius 5 m. A circular grass island of radius 3 m is in the middle. The ring between the island and the outer edge is covered with tarmac.
1. Find the area of the tarmac, to 1 decimal place. (2 marks)
2. Tarmac costs £28 per m². Find the cost to the nearest £. (2 marks)
Question 5 – Problem: the bicycle journey
Zane's bicycle wheel has a diameter of 70 cm. He cycles 2.5 km to a friend's house.
1. Find the circumference of the wheel in metres, to 2 decimal places. (2 marks)
2. How many complete turns does the wheel make on the journey? (2 marks)

How to use this Year 8 circles test

First, revise with the circles: circumference and area 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 circles: circumference and area test answers. If you lose marks on a question, redo it the next day without help.

Finally, you can download this Year 8 circles 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.