Number worksheet — GCSE Higher

1.A triangle has a base of 8 cm and a perpendicular height of 5 cm, each correct to the nearest centimetre. Work out the upper bound of the area.

2.Work out 4368 ÷ 12.

3.Round 0.006852 to 2 significant figures.

4.A charity shop buys a coat for £24 and sells it for a profit that is 3/8 of the buying price. Work out the selling price.

5.The population of a planet is 8 × 10⁹. Write this population as an ordinary number.

6.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?

7.Which of these numbers rounds to 0.048 when rounded to 2 significant figures?

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

9.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.

10.Work out (2 × 10³) × (3 × 10⁴). Give your answer in standard form.

11.Work out the value of 2⁻⁴

12.A machine fills bags of sugar and shows the mass of each bag to the nearest 10 g. A checker rejects any bag whose actual mass is less than 996 g. One bag shows a mass of 1,000 g on the machine. Decide whether this bag could be rejected, and give a reason for your answer.

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

14.Work out 1 − 1/2 − 1/4 − 1/8 − 1/16. Give your answer as a fraction.

15.Work out √(4 × 9)