Number worksheet — GCSE Higher

1.Work out 3.7 × 24.

2.Write 12 as a product of its prime factors.

3.Simplify √45.

4.By first working out 2.9², then squaring your result, estimate 2.9⁴ to 2 significant figures.

5.2/3 of an amount of money is £30. Work out the amount.

6.A quantity surveyor calculates a length as 24.6851 m. Round this length to 2 decimal places.

7.A roll of ribbon is 8.4 m long. Ribbon is cut into pieces that are each 0.6 m long. Work out how many complete pieces can be cut from the roll.

8.Work out −4.5 + 2.8.

9.Chloe wants to work out 3 1/4 − 1 2/3. She converts both mixed numbers to twelfths, then subtracts the whole numbers and the fraction parts separately, without checking whether she needs to exchange first. Work out the correct value of 3 1/4 − 1 2/3, giving your answer as a mixed number in its simplest form.

10.A metal cube has a mass of 540 g and a volume of 60 cm³. Work out its density in g/cm³.

11.A plane flies 2340 km at an average speed of 780 km/h. It departs at 08:20. Work out the arrival time, using the 24-hour clock.

12.A photography studio offers 4 backdrops and 3 outfits for a portrait session. The plain grey backdrop, one of the 4 backdrops, cannot be used with the formal suit outfit, one of the 3 outfits. Work out how many different backdrop-and-outfit combinations are possible.

13.A plumber charges a call-out fee of £45 and then £28 for each hour she works. She is at a house from 09:15 until 12:45. Work out the total charge.

14.A paint mix is made from white paint and blue paint in the ratio 5 : 3. Priya uses 1.2 litres of blue paint and the matching amount of white paint. Work out the total volume of the mix.

15.Work out an estimate for 6.4 × 3.9, by rounding each number to the nearest whole number.