Number worksheet — GCSE Foundation

1.To estimate the cost of buying 38.7 m of rope at £21.40 per metre, both numbers are first rounded to 1 significant figure. Work out the estimate.

2.A tap fills a 20 litre bucket in 2 minutes 30 seconds. Work out the rate of flow, in litres per minute.

3.During one night on a mountain, four hikers each recorded the temperature they felt: Ben −6 °C, Priya −2 °C, Sam −9 °C, Alex 1 °C. Work out the difference between the coldest and the warmest of these four temperatures.

4.Work out √25 + 4² − 12 ÷ 3

5.Write these fractions in order, starting with the smallest: 2/3, 3/5, 5/6, 1/2

6.A recipe needs 0.485 kg of flour per cake. A bakery estimates its flour order by rounding this amount to 1 significant figure, then multiplying by the 60 cakes it plans to bake. Work out the bakery's estimate for the total flour needed, in kg.

7.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.

8.Write 0.00072 in standard form.

9.Work out (6 × 10⁷) + (3 × 10⁶). Give your answer in standard form.

10.A window display has red baubles, gold baubles and green baubles in the ratio 4 : 5 : 6. What fraction of the baubles are not green?

11.Work out ⁴√16

12.Write 0.0038 in standard form.

13.Work out 3/4 − 5/12 exactly, giving your answer in its simplest form.

14.A speed camera measures a car's speed as 34 mph, correct to the nearest mph. Work out the smallest possible actual speed of the car, in mph.

15.Jack buys 3 books, each costing £4.25, and pays with a £20 note. Work out how much change he receives.