Number worksheet — GCSE Higher

1.The distance from the Earth to the Moon is 384,000 km. Write this distance in standard form, in kilometres.

2.Which of these decimals lies between 1/4 and 2/5?

3.A carpenter has a plank of wood 4.8 m long. She cuts off 3 pieces, each 0.9 m long, to make shelves. Work out the length of wood remaining.

4.Which of these is written correctly in standard form?

5.Simplify √45.

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

7.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.

8.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.

9.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.

10.Write down the symbol that makes this statement true: −2/3 ___ −5/6

11.A number, y, is equal to 8.2 when rounded to 1 decimal place. Write down the error interval for y.

12.Rationalise the denominator of 10/(4 − √6), giving your answer in its simplest form.

13.Work out 3.7 × 24.

14.√700 lies between which two consecutive integers?

15.A cube-shaped storage tank has a volume of 15,625 cubic centimetres. Work out the length of one edge of the tank.