Number worksheet — GCSE Foundation

1.Round 6.283 to 1 significant figure.

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

3.Work out (5 × 10⁴) ÷ (2 × 10⁻²). Give your answer in standard form.

4.A café offers 3 types of soup and 4 types of bread roll. Work out how many different combinations of one soup and one bread roll are possible.

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

6.The density of a type of plastic is 0.9 g/cm³. Work out this density in kg/m³.

7.A piece of ribbon is 2.4 metres long. Kim cuts 40 cm from it. Work out the length of ribbon left, in millimetres.

8.A shelf is 60 cm long, correct to the nearest 10 cm. Write down the upper bound for the length of the shelf, in centimetres.

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

10.A recipe states that a cake needs 200 g of flour, correct to the nearest 25 g. Work out the smallest possible mass of flour, in grams, that could actually be used.

11.Put these numbers in order, starting with the smallest: 3.2 × 10⁴, 2.9 × 10⁵, 4.1 × 10³

12.A bag holds 5 different sweets. Noah takes 2 of the sweets out of the bag together, so the order in which he takes them does not matter. Work out how many different pairs of sweets he could take.

13.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.

14.3.4 × 10⁵ is written as an ordinary number. Work out this number.

15.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.