Number worksheet — GCSE Foundation

1.Write these numbers in order, starting with the largest: 7/8, 0.8, 78%, 17/20

2.Work out (−2)³ + (−3)² − (−4)

3.Work out 3 × (−2)² − 5

4.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.

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

6.Grace drinks 1/3 of a bottle of water in the morning and another 1/3 of the same bottle in the afternoon. Work out what fraction of the bottle she has drunk altogether.

7.Write these three numbers in order, starting with the smallest: 7/20, 0.3, 32%

8.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.

9.Priya has 24 red beads and 36 blue beads. She makes identical bracelets, using every bead and with none left over. Work out the greatest number of bracelets she can make.

10.A jug holds 1.25 litres of water. Ella pours in another 400 ml. Work out the total volume, in litres.

11.Work out (8 × 10⁻⁵) × (5 × 10³). Give your answer in standard form.

12.A paint mix is made from white paint and blue paint in the ratio 5 : 3. Priya uses 1.2 litres of blue paint and the matching amount of white paint. Work out the total volume of the mix.

13.Four students work out 6 + 2 × 3. Which student has worked it out correctly?

14.A shape is made by joining a rectangle measuring 10 cm by 6 cm to a semicircle of diameter 6 cm along one of the rectangle's shorter sides. Work out the exact area of the shape, in terms of π.

15.A quantity surveyor calculates a length as 24.6851 m. Round this length to 2 decimal places.