Number worksheet — GCSE Foundation

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

2.Find the missing number: ▢ ÷ 15 = 24

3.A van has a mass of 2,000 kg, correct to 1 significant figure. Using m for the mass of the van in kilograms, write down the error interval for m.

4.Simplify 3² ÷ 3⁵, giving your answer as a single power of 3.

5.The distance from the Earth to the Moon is 384,000 km. Write this distance in standard form, in kilometres.

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.Which statement about the number 51 is correct?

8.Light travels at 2.998 × 10⁸ metres per second. A distant object in space is 3.1 × 10¹⁵ metres from Earth. Work out an estimate for the number of seconds light takes to travel from the object to Earth, by rounding each number to 1 significant figure.

9.By listing systematically, work out how many two-digit multiples of 5 can be made using the digits 0, 3 and 5, if each digit can be used at most once and the number cannot start with 0.

10.Four locations each record a temperature one winter morning. Which of these temperatures is the coldest?

11.Work out 4368 ÷ 12.

12.In a school, 3/5 of the students study French. Of these students, 2/3 also study Spanish. What fraction of all the students study both French and Spanish?

13.Work out 20 − 8 ÷ 2 + 1

14.A jug holds 3 1/3 litres of juice. Each glass holds 2/3 of a litre. Work out how many glasses can be filled from the jug.

15.Write down the symbol that makes this statement true: −9 ___ −4