Number worksheet — GCSE Higher

1.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.

2.Work out (6 × 10⁷) + (3 × 10⁶). Give your answer in standard form.

3.2/3 of an amount of money is £30. Work out the amount.

4.A florist has 5 different flowers. Freya picks 3 of them to make a small bunch, and the order in which she picks them does not matter. Work out how many different bunches she could make.

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

6.A netball team has 8 players. Two of them are chosen to be captains, and the two captains have equal standing. Work out how many different pairs of captains could be chosen.

7.The length of a pencil is 8.4 cm, correct to 1 decimal place. Using L for the length of the pencil in centimetres, write down the error interval for L.

8.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.

9.A market trader buys 8 melons at £1.35 each. He sells all of them for a total of £15.60. Work out his profit.

10.A photograph uses 4 × 10⁶ bytes of storage. A memory card holds 3.2 × 10¹⁰ bytes. Work out how many of these photographs the card can hold. Give your answer in standard form.

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

12.Write these fractions in order, starting with the smallest: 2/3, 3/5, 5/6, 1/2

13.Write these numbers in order, starting with the smallest: −1.4, 5/4, −6/5, 1.3, 0

14.A carton of orange juice holds 1.35 litres. Ruby pours the juice equally into 4 identical glasses. Work out how much juice is in each glass, giving your answer as a fraction of a litre in its simplest form.

15.After a price increase of 10%, a laptop costs £330. Work out the original price.