Number worksheet — GCSE Foundation

1.A café buys 18 boxes of teabags at £3.45 each, and sells all the teabags for £108 in total. Work out the café's profit.

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

3.Round 6.283 to 1 significant figure.

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

5.Work out 0.6 × 0.04.

6.In a photo album the ratio of colour photos to black-and-white photos is 9 : 4. Work out the number of black-and-white photos as a fraction of the number of colour photos.

7.Write down the symbol that makes this statement true: −9 ___ −4

8.Write 0.325 as a fraction in its simplest form.

9.The highest common factor of two numbers is 4 and their lowest common multiple is 60. One of the numbers is 20. Work out the other number.

10.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.

11.Work out (5 + 2) × 3²

12.Four weather stations each recorded their lowest overnight temperature. Which of these readings is the lowest?

13.Work out 1/2 of 1/4 of 80.

14.Simplify 5⁻² × 5⁴, giving your answer as a single power of 5.

15.Which of these is written correctly in standard form?