Number worksheet — GCSE Foundation

1.Which one of these statements is true?

2.A semicircle has a diameter of 8 cm. Work out the exact area of the semicircle, in terms of π.

3.Simplify x⁷ × x⁴, giving your answer as a single power of x.

4.A quiz has 50 questions. Freya answers 10% of them incorrectly. Work out how many questions she answers incorrectly.

5.A cinema has 250 seats. 12% of the seats are reserved. Work out how many of the seats are reserved.

6.Work out (2/3)² + (1/2)². Give your answer as a fraction.

7.Petrol costs £1.48 per litre. Sam buys 35 litres and pays with three £20 notes. Work out his change.

8.Grace works out 7 × 99 by writing 99 as 100 − 1. Use her method to work out 7 × 99.

9.A market trader buys 8 melons at £1.35 each. He sells all of them for a total of £15.60. Work out his profit.

10.A gardener has 42 tulip bulbs and 56 daffodil bulbs. She plants them in rows, with every row containing the same number of tulip bulbs and the same number of daffodil bulbs, and no bulbs left over. Work out the greatest number of rows she can plant.

11.A choir has sopranos, altos and tenors in the ratio 6 : 4 : 5. What fraction of the choir is not tenors?

12.Amelia estimates 48 × 21 by working out 50 × 20 = 1,000. Work out whether her estimate is an under-estimate or an over-estimate, and by how much.

13.On a number line, point A is at −1. Point B is 4 units from point A. Write down the two possible positions of point B.

14.A number is multiplied by 4, then 8 is added, giving the result 40. Work out the number.

15.A shelf is 60 cm long, correct to the nearest 10 cm. Write down the upper bound for the length of the shelf, in centimetres.