Number worksheet — GCSE Foundation

1.A rectangular tile measures 45 cm by 0.6 m. Work out its area, in square centimetres.

2.Work out ⁴√16

3.A pair of trainers is priced at £80 online. The shop takes 25% off the price and then adds £10 for next-day delivery. Work out the total cost.

4.Work out an estimate for 37 × 84, by rounding each number to 1 significant figure.

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.A car travels 180 km using 6 litres of fuel. Work out the car's fuel consumption in kilometres per litre, then work out how many kilometres it can travel on a full tank of 12 litres at this rate.

7.Work out the lowest common multiple of 9 and 15.

8.Write 200 as a product of its prime factors, using index notation.

9.Work out 20 − 8 ÷ 2 + 1

10.A cinema has 250 seats. 12% of the seats are reserved. Work out how many of the seats are reserved.

11.Work out an estimate for 2.9² + 3.1², by rounding each number to the nearest whole number.

12.Nadia has £84. She spends 3/7 of it on a jacket and the rest on a bag. Work out the ratio of the amount spent on the jacket to the amount spent on the bag, in its simplest form.

13.Work out 2⁵.

14.Two fair six-sided dice are rolled together. One die is red and the other is blue. Work out how many different outcomes are possible.

15.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.