Number worksheet — GCSE Foundation

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

2.Work out 3π − π, giving your answer as a multiple of π.

3.Two-digit numbers are formed using the digits 2, 5, 7 and 8, and each digit may be used only once in a number. Work out how many of these two-digit numbers are even.

4.A plane flies 2340 km at an average speed of 780 km/h. It departs at 08:20. Work out the arrival time, using the 24-hour clock.

5.A student works out the exact area of a circle with radius 4 cm by squaring the radius but forgetting to multiply by π. Work out the correct exact area of the circle, in terms of π.

6.Write these numbers in order, starting with the smallest: 5, −8, 0, −3, 2

7.In the number 3.472, work out the value of the digit 7.

8.Work out ∛(−27) + ∛8

9.Four friends share a restaurant bill of £53.90 equally. A calculator gives each share as 13.475. Work out how much each friend should pay.

10.Work out (−36) ÷ (−6) × 2

11.A gym increases its membership price by 1/5. The original price is £60. Work out the new price.

12.A flight departs at 21:35 and lands at 06:10 the following morning. Work out the total flight time.

13.The error interval for the mass of a suitcase, m kg, is given as 22.5 ≤ m < 23.5. Write down the mass of the suitcase, correct to the nearest whole number.

14.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.

15.Which one of these statements is true?