EDEXCEL GCSE MATHS · FOUNDATION & HIGHER
Exam Practice: Circles
Circles · Area and volume · Lesson 4 of 7 · 11 marks · 25 minutes
Name Date
Answer all questions. Show your working. The calculator is allowed where the question says so.
Question 1 CALCULATOR [2 marks]
A circle has a diameter of 9 cm. Work out the circumference of the circle. Give your answer correct to 1 decimal place.
Question 2 NON-CALCULATOR [2 marks]
A circle has a radius of 5 cm. Work out the area of the circle. Give your answer in terms of π.
Question 3 CALCULATOR [3 marks]
The diagram shows a semicircle with diameter 10 cm. Work out the perimeter of the semicircle. Give your answer correct to 1 decimal place.
Question 4 CALCULATOR [4 marks]
A bicycle wheel has a diameter of 60 cm. How many complete turns does the wheel make when the bicycle travels 1 km?
Answers
Check your answer only once you have written one.
Question 1 [2 marks]
π × 9 = 28.27…= 28.3 cm
▸ π × 9 M1
▸ 28.3 A1
Question 2 [2 marks]
π × 5² = 25π cm²
▸ π × 5² M1
▸ 25π A1
Question 3 [3 marks]
Arc ½ × π × 10 = 5π= 15.707… Perimeter 15.707…+ 10 = 25.7 cm.
▸ ½ × π × 10 M1
▸ Adding 10 M1
▸ 25.7 A1
Question 4 [4 marks]
Circumference = π × 60 = 188.49… cm. 1 km = 100 000 cm. 100 000 ÷ 188.49…= 530.5…, so 530 complete turns.
▸ π × 60 P1
▸ 1 km = 100 000 cm (or circumference in km) P1
▸ 100 000 ÷ 188.49… P1
▸ 530 A1