Number worksheet — GCSE Foundation

1.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.

2.A van has a mass of 2,000 kg, correct to 1 significant figure. Using m for the mass of the van in kilograms, write down the error interval for m.

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

4.Work out (6 × 10⁷) + (3 × 10⁶). Give your answer in standard form.

5.A water tank holds 80 litres when full. It currently contains 60 litres. Work out what fraction of the tank is empty.

6.A café sells ice cream in three flavours: vanilla, mango and pistachio. Isla buys a cone with two scoops, using two different flavours, one for the bottom scoop and one for the top scoop. Work out how many different cones she could buy.

7.Which of these numbers rounds to 0.048 when rounded to 2 significant figures?

8.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.

9.Round 0.006482 to 2 significant figures.

10.Write these decimals in order, starting with the smallest: 0.6, 0.55, 0.601, 0.5, 0.56

11.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.

12.A flight departs at 21:35 and lands at 06:10 the following morning. Work out the total flight time.

13.A recipe states that a cake needs 200 g of flour, correct to the nearest 25 g. Work out the smallest possible mass of flour, in grams, that could actually be used.

14.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.

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