Number worksheet — GCSE Foundation

1.By listing systematically, work out how many two-digit multiples of 5 can be made using the digits 0, 3 and 5, if each digit can be used at most once and the number cannot start with 0.

2.The highest common factor of two numbers is 4 and their lowest common multiple is 60. One of the numbers is 20. Work out the other number.

3.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.

4.Meera says that 0.7 ÷ 0.1 = 0.07. Work out the correct value of 0.7 ÷ 0.1.

5.In a box of chocolates 5/8 are milk chocolates and the rest are dark chocolates. Work out the number of dark chocolates as a fraction of the number of milk chocolates.

6.In a car park the ratio of vans to cars is 2 : 7. Work out the number of vans as a fraction of the number of cars.

7.A circle has a radius of 5 cm. Work out the exact circumference of the circle, in terms of π.

8.A tin of beans has a mass of 650 g. A bag of rice has a mass of 1.35 kg. Work out the total mass, in kilograms.

9.A box stands on a table. The box exerts a force of 240 N on the table, and the base of the box has an area of 0.8 m². Work out the pressure the box exerts on the table, in N/m².

10.Write the fraction 47/50 as a decimal.

11.Work out an estimate for 8,900 ÷ 29, by rounding each number to 1 significant figure.

12.Work out an estimate for 588 ÷ 31, by rounding each number to 1 significant figure.

13.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.

14.Work out 5/6 × 2/9, giving your answer in its simplest form.

15.Work out how many factors 100 has.