Number worksheet — GCSE Foundation

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

2.A shelf is 60 cm long, correct to the nearest 10 cm. Write down the upper bound for the length of the shelf, in centimetres.

3.Work out (−2)³ + (−3)² − (−4)

4.Estimate the value of √45, giving your answer to the nearest whole number.

5.A café is planning its lunch menu. It will offer one soup from 3 choices and one sandwich from 4 choices, but the mushroom soup, one of the 3 soups, will only be served with the cheese sandwich, one of the 4 sandwiches, on a normal day. Work out how many different soup-and-sandwich combinations are available on a normal day.

6.Work out (−2)² − 3

7.A quantity surveyor calculates a length as 24.6851 m. Round this length to 2 decimal places.

8.A number, n, is a multiple of both 6 and 9. Work out the smallest possible value of n that is greater than 20.

9.A country's population is 8,340,000, and it is estimated that 1,950,000 of them live in the capital city. By rounding each number to 1 significant figure, work out an estimate for the number of people who do not live in the capital city.

10.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.

11.Work out √225 ÷ 3.

12.A quiz has 50 questions. Freya answers 10% of them incorrectly. Work out how many questions she answers incorrectly.

13.Bella's electricity supplier charges 28.5p per unit (kWh). Last month she used 340 units. Work out the total cost, giving your answer in pounds.

14.Work out 3.7 × 24.

15.Maya buys 4 plants at £3.20 each and a bag of compost for £6.75. She pays with a £20 note. Work out her change.