Number worksheet — GCSE Higher

1.Write these three numbers in order, starting with the smallest: 3/5, 0.55, 58%

2.A school council must choose a committee of 3 pupils from 8 volunteers. The three places on the committee are all the same, so only which pupils are chosen matters. Work out how many different committees could be formed.

3.A recipe uses 160 g of flour. Sam wants to increase the amount by 1/4. Work out the new amount of flour.

4.A speed camera measures a car's speed as 34 mph, correct to the nearest mph. Work out the smallest possible actual speed of the car, in mph.

5.Write these three numbers in order, starting with the smallest: 7/20, 0.3, 32%

6.To estimate the cost of buying 38.7 m of rope at £21.40 per metre, both numbers are first rounded to 1 significant figure. Work out the estimate.

7.The thickness of a sheet of card is 0.02384 cm. Write this thickness correct to 2 significant figures.

8.Work out (4 × 10³) × (3 × 10¹). Give your answer in standard form.

9.A courier's van has a weight limit of 850 kg for its parcels. The driver's display shows the total mass of the parcels loaded as 850 kg, correct to the nearest 5 kg. Decide whether the parcels are definitely within the weight limit.

10.A jumper is reduced by 15% in a sale to a price of £42.50. Work out the original price.

11.Round 0.006482 to 2 significant figures.

12.A café buys 18 boxes of teabags at £3.45 each, and sells all the teabags for £108 in total. Work out the café's profit.

13.Petrol costs £1.48 per litre. Sam buys 35 litres and pays with three £20 notes. Work out his change.

14.Work out 10% of 30% of £200.

15.A charity raises 8 × 10⁶ pounds. This total is shared equally among 2 × 10² local projects. Work out how much each project receives, in standard form.