Number worksheet — GCSE Higher

1.A café meal deal is one sandwich, one snack and one drink. There are 4 different sandwiches, 3 different snacks and 2 different drinks to choose from. Work out how many different meal deals are possible.

2.Write 200 as a product of its prime factors, using index notation.

3.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.

4.Work out (−2)² − 3

5.Work out the value of √49 + ∛27

6.Work out the value of 6² − 4³.

7.A lorry travels 105 miles in 1 hour 45 minutes. Work out its average speed in miles per hour.

8.Nadia has £84. She spends 3/7 of it on a jacket and the rest on a bag. Work out the ratio of the amount spent on the jacket to the amount spent on the bag, in its simplest form.

9.A car manufacturer offers a car in 6 colours and 4 trim levels. Two colour-and-trim combinations are not available: red with sport trim, and white with sport trim. Work out how many different colour-and-trim combinations are available.

10.Find the missing number: ▢ ÷ 15 = 24

11.Write down the reciprocal of 0.2

12.A restaurant adds a service charge of 15% to a bill of £120. Work out the service charge.

13.An allotment plot is divided into vegetables and flowers in the ratio 9 : 4. A third of the vegetable section is used for potatoes. What fraction of the whole plot is potatoes?

14.Work out 3.7 × 24.

15.Expand and simplify √3(2 + √12).