Number worksheet — GCSE Foundation

1.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.

2.A tin of beans has a mass of 650 g. A bag of rice has a mass of 1.35 kg. Work out the total mass, in kilograms.

3.A space probe is 7.5 × 10⁸ km from Earth. Write this distance as an ordinary number.

4.In a science experiment, the temperature of a liquid is recorded as 18.6 °C, correct to the nearest 0.2 °C. Write down the error interval for the actual temperature, T °C.

5.Write down the symbol that makes this statement true: 3/10 ___ 0.3

6.Work out (4 × 10⁻³) × (2 × 10⁵). Give your answer in standard form.

7.A jar of jam costs £2.35. Tom buys 3 jars. He says the total cost is more than £7. Work out the exact total cost, and state whether Tom's claim is correct.

8.Find the missing number: 17 × ▢ = 391

9.4ˣ = 64. Work out the value of x.

10.Which of these statements about −0.7 and −0.25 is true?

11.A metal cube has a mass of 540 g and a volume of 60 cm³. Work out its density in g/cm³.

12.Work out the value of √(16 + 9)

13.In a youth club the number of girls is 2/3 of the number of boys. What fraction of the members of the club are girls?

14.Work out (−6) + (−4) × 3

15.Work out 0.6 × 0.04.