Number worksheet — GCSE Higher

1.√700 lies between which two consecutive integers?

2.A recipe for one cake needs 2/3 of a cup of sugar. Priya has 3 1/2 cups of sugar. Work out how many complete cakes she can make.

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

4.Work out 1 1/2 ÷ 3/4 exactly, giving your answer in its simplest form.

5.Work out 6² − 4².

6.Write 0.875 as a fraction in its simplest form.

7.A café offers sandwiches with one filling from 5 choices and one type of bread from 4 choices. Cheese and mustard, which is one of the 5 fillings, is not available on gluten-free bread, which is one of the 4 breads. Work out how many different sandwiches are possible.

8.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.

9.A three-digit code is made using the digits 1, 2 and 3, and each digit may be used more than once. Work out how many different three-digit codes can be made.

10.A cake recipe needs 3/4 of a kilogram of sugar. Aisha wants to make half the recipe. Work out how much sugar she needs, giving your answer as a fraction of a kilogram in its simplest form.

11.Work out the value of 2⁻⁴

12.Work out the reciprocal of (2 + 3)

13.A cinema has 250 seats. 12% of the seats are reserved. Work out how many of the seats are reserved.

14.Leah measures the length of her classroom with a tape measure marked in centimetres. She writes the length down as 7.3157 m. Give a reason why this is not an appropriate degree of accuracy.

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