Number worksheet — GCSE Foundation

1.Work out ⁴√16

2.Work out (5 × 10⁴) ÷ (2 × 10⁻²). Give your answer in standard form.

3.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.

4.Work out 18 − 4 × 2

5.Work out the total cost of 3 pens at 45p each and one notebook at £2.35. Give your answer in pounds.

6.Write down the symbol that makes this statement true: −9 ___ −4

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

8.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.

9.Using only 20p coins and 10p coins, and at least one of each, work out how many different ways there are to make exactly 60p. List the possibilities systematically.

10.Work out (−3) × 4 + 2 × (−5)

11.A spinner has 4 colours and a coin has 2 sides. Work out how many different outcomes are possible when the spinner is spun once and the coin is tossed once.

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

13.A fabric is dyed blue and yellow in the ratio 3 : 5. A tailor uses 1.5 m of blue fabric and the matching amount of yellow fabric needed for the ratio. Work out the total length of fabric used.

14.Work out an estimate for 79.3 − 24.6, by rounding each number to the nearest whole number.

15.During one night on a mountain, four hikers each recorded the temperature they felt: Ben −6 °C, Priya −2 °C, Sam −9 °C, Alex 1 °C. Work out the difference between the coldest and the warmest of these four temperatures.