Number worksheet — GCSE Foundation

1.A block of butter has a mass of 250 g, correct to the nearest 10 g. Using m for the mass of the block in grams, write down the error interval for m.

2.Work out 1 − 1/2 − 1/4 − 1/8 − 1/16. Give your answer as a fraction.

3.Write 12 as a product of its prime factors.

4.A café buys 18 boxes of teabags at £3.45 each, and sells all the teabags for £108 in total. Work out the café's profit.

5.The number 72 can be written as 2³ × 3², and the number 108 can be written as 2² × 3³. Work out the highest common factor of 72 and 108.

6.Simplify x⁷ × x⁴, giving your answer as a single power of x.

7.A bus leaves the station at 09:47 and arrives at its destination at 11:23. Work out the journey time.

8.The density of a type of plastic is 0.9 g/cm³. Work out this density in kg/m³.

9.The mass of a parcel is 3 kg, correct to the nearest kilogram. Which of these masses is not possible for the parcel?

10.A cheetah runs at a steady speed of 25 metres per second. Work out this speed in kilometres per hour.

11.Simplify 3² ÷ 3⁵, giving your answer as a single power of 3.

12.Which one of these statements is true?

13.A shape is made by joining a rectangle measuring 10 cm by 6 cm to a semicircle of diameter 6 cm along one of the rectangle's shorter sides. Work out the exact area of the shape, in terms of π.

14.Chloe wants to work out 3 1/4 − 1 2/3. She converts both mixed numbers to twelfths, then subtracts the whole numbers and the fraction parts separately, without checking whether she needs to exchange first. Work out the correct value of 3 1/4 − 1 2/3, giving your answer as a mixed number in its simplest form.

15.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.