Number worksheet — GCSE Foundation

1.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.

2.Work out (−36) ÷ (−6) × 2

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

4.Work out the lowest common multiple of 9 and 15.

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

6.A train journey takes 45 minutes, correct to the nearest 5 minutes. Using t for the actual time of the journey in minutes, write down the error interval for t.

7.A company's turnover is 5.6 × 10⁷ pounds, spread evenly across 3.5 × 10² shops. Work out the average turnover per shop, in standard form.

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

9.Work out 6² − 4².

10.A country has an area of 25,000,000 hectares. Write this area in standard form.

11.The length of a pencil is 8.4 cm, correct to 1 decimal place. Using L for the length of the pencil in centimetres, write down the error interval for L.

12.Freya uses her calculator to work out 7² and writes down 14. Work out the correct value of 7².

13.Zoe worked out 3/8 + 1/8 by adding the numerators and the denominators, and got 4/16. Work out the correct value of 3/8 + 1/8, giving your answer in its simplest form.

14.A number, n, is a multiple of both 6 and 9. Work out the smallest possible value of n that is greater than 20.

15.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.