Number worksheet — GCSE Higher

1.In a music collection, the ratio of pop albums to rock albums is 5 : 3. Work out the number of rock albums as a fraction of the number of pop albums.

2.A café sells ice cream in three flavours: vanilla, mango and pistachio. Isla buys a cone with two scoops, using two different flavours, one for the bottom scoop and one for the top scoop. Work out how many different cones she could buy.

3.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.

4.Work out 100 − 4 × 5²

5.A sponsored walk is 36 km long. Aisha has completed 8/12 of the walk. Work out how far she has walked.

6.Work out ⁴√81

7.Which of these numbers rounds to 0.048 when rounded to 2 significant figures?

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

9.Write 0.36 as a fraction in its simplest form.

10.Write down the reciprocal of 0.2

11.Work out −(−3)⁴ + (−3)³

12.Work out 4368 ÷ 12.

13.Round 592.5 to the nearest 10.

14.Write 0.325 as a fraction in its simplest form.

15.A cycle route is 350 m long. A footpath runs alongside it for 3/7 of that length. Work out the length of the footpath.