Number worksheet — GCSE Higher

1.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.

2.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.

3.Work out 3.7 × 24.

4.Ava measures a metal rod and records its length as 15 cm, correct to the nearest centimetre. Ben measures the same rod and records its length as 14.8 cm, correct to the nearest 0.1 cm. Decide whether both records can be correct, and give a reason for your answer.

5.A number is multiplied by 4, then 8 is added, giving the result 40. Work out the number.

6.Write 0.35 as a fraction in its lowest terms.

7.A rope is measured as 15 m, correct to the nearest metre. Write down the error interval for the true length, l, of the rope.

8.Work out 4368 ÷ 12.

9.A tap fills a 20 litre bucket in 2 minutes 30 seconds. Work out the rate of flow, in litres per minute.

10.Work out an estimate for 79.3 − 24.6, by rounding each number to the nearest whole number.

11.A quarter-circle has a radius of 6 cm. Work out the exact perimeter of the quarter-circle, giving your answer in terms of π.

12.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.

13.Work out (−36) ÷ (−6) × 2

14.Work out 5⁰ + 5¹ + 5²

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