Number worksheet — GCSE Foundation

1.Work out 1/2 of 1/4 of 80.

2.Write these fractions in order, starting with the smallest: 2/3, 3/5, 5/6, 1/2

3.The number 24 can be written as 2³ × 3, and the number 60 can be written as 2² × 3 × 5. Work out the lowest common multiple of 24 and 60.

4.Write these numbers in order, starting with the largest: 7/8, 0.8, 78%, 17/20

5.A concrete mix is made from cement and sand in the ratio 3 : 5 by mass. A builder mixes 96 kg of concrete. Work out the mass of cement in the mix.

6.Work out how many factors 36 has.

7.Work out the highest common factor of 12 and 18.

8.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?

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

10.Work out (4 × 10⁻³) × (2 × 10⁵). Give your answer in standard form.

11.A café sells ice cream in three flavours: vanilla, mango and pistachio. Isla buys a cone with two scoops, using two different flavours, one for the bottom scoop and one for the top scoop. Work out how many different cones she could buy.

12.2/3 of an amount of money is £30. Work out the amount.

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

14.A shop assistant says that 7.2 × 3.9 = 56.16. Work out an estimate for 7.2 × 3.9, by rounding each number to the nearest whole number, to show that the assistant’s answer cannot be correct.

15.Sara has a red T-shirt, a blue T-shirt and a green T-shirt. She has black shorts and grey shorts. By listing the combinations systematically, work out how many different outfits of one T-shirt and one pair of shorts she can make.