Number worksheet — GCSE Foundation

1.Write 0.005 in standard form.

2.A shop assistant says that 7.2 × 3.9 = 56.16. Work out an estimate for 7.2 × 3.9, by rounding each number to the nearest whole number, to show that the assistant’s answer cannot be correct.

3.3/5 of a 5/6 litre bottle of juice is poured out. Work out the exact volume poured out, in litres.

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

5.Write down the symbol that makes this statement true: 0.45 ___ 0.5

6.The thickness of a sheet of card is 0.02384 cm. Write this thickness correct to 2 significant figures.

7.Work out an estimate for 588 ÷ 31, by rounding each number to 1 significant figure.

8.A sponsored walk raised £350 for charity. 20% of the money raised is spent on equipment. Work out how much is spent on equipment.

9.Write 12 as a product of its prime factors.

10.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.

11.The attendance at a football match is 23,000, correct to the nearest thousand. Which of these attendances is not possible for the match?

12.Work out 15% of £40, using 10% and 5%.

13.Sam rounds 0.070268 to 3 significant figures and writes 0.0703. Which of these statements is correct?

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

15.Work out 3³ + 2⁴.