Number worksheet — GCSE Foundation

1.Sara has a red T-shirt, a blue T-shirt and a green T-shirt. She has black shorts and grey shorts. By listing the combinations systematically, work out how many different outfits of one T-shirt and one pair of shorts she can make.

2.Round 4,685 to the nearest 100.

3.A garden has flowers, herbs and vegetables in the ratio 2 : 3 : 4. What fraction of the garden is not vegetables?

4.Work out an estimate for 588 ÷ 31, by rounding each number to 1 significant figure.

5.A space probe is 7.5 × 10⁸ km from Earth. Write this distance as an ordinary number.

6.Work out 2/3 × 3/4 exactly, giving your answer in its simplest form.

7.Write 12 as a product of its prime factors.

8.Ava measures a metal rod and records its length as 15 cm, correct to the nearest centimetre. Ben measures the same rod and records its length as 14.8 cm, correct to the nearest 0.1 cm. Decide whether both records can be correct, and give a reason for your answer.

9.A jug holds 3 1/3 litres of juice. Each glass holds 2/3 of a litre. Work out how many glasses can be filled from the jug.

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

11.A number line runs from 0 to 1 and is divided into 4 equal parts. Which mark on the line represents 1/4?

12.Write these three numbers in order of size, starting with the smallest: 0.7, 3/4, 0.72

13.Work out 3/7 × 14/9. Give your answer as a fraction in its simplest form.

14.Two allotments are combined. Allotment A grows vegetables and flowers in the ratio 3 : 2, and has 20 plots in total. Allotment B grows vegetables and flowers in the ratio 1 : 4, and has 20 plots in total. Work out the fraction of all the plots, in both allotments combined, that grow vegetables.

15.A school orders 187 packed lunches for a trip. Each packed lunch costs £4.85. The school has £900 to spend. By rounding each number to 1 significant figure, work out an estimate for the total cost and decide whether £900 is enough.