Number worksheet — GCSE Higher

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

2.A café orders 340 bread rolls at 24p each and 85 cakes at £1.35 each. Work out the total cost of the order.

3.A restaurant adds a service charge of 15% to a bill of £120. Work out the service charge.

4.After a price increase of 10%, a laptop costs £330. Work out the original price.

5.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.

6.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.

7.A company's turnover is 5.6 × 10⁷ pounds, spread evenly across 3.5 × 10² shops. Work out the average turnover per shop, in standard form.

8.Given that 2⁵ = 32, work out 2⁶.

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

10.A company sells 4 × 10³ items per day, each priced at £2.50. It operates for 3 × 10² days a year. Work out the company's total revenue for the year. Give your answer in standard form.

11.Postage on a parcel is calculated as £4.60, correct to the nearest 20p. Which of these could not be the actual cost of the postage?

12.A cheetah runs at a steady speed of 25 metres per second. Work out this speed in kilometres per hour.

13.In a science experiment, the temperature of a liquid is recorded as 18.6 °C, correct to the nearest 0.2 °C. Write down the error interval for the actual temperature, T °C.

14.The density of a type of plastic is 0.9 g/cm³. Work out this density in kg/m³.

15.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.