Number worksheet — GCSE Foundation

1.A recipe needs 0.485 kg of flour per cake. A bakery estimates its flour order by rounding this amount to 1 significant figure, then multiplying by the 60 cakes it plans to bake. Work out the bakery's estimate for the total flour needed, in kg.

2.A number, n, is equal to 3.7 when rounded to 1 decimal place. Write down the error interval for n.

3.Two fair six-sided dice are rolled together. One die is red and the other is blue. Work out how many different outcomes are possible.

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

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

6.Four locations each record a temperature one winter morning. Which of these temperatures is the coldest?

7.Work out 10% of 30% of £200.

8.The number of visitors to a museum on Saturday is given as 1,800, correct to the nearest 100. Which of these could not be the actual number of visitors?

9.Sam rounds 0.070268 to 3 significant figures and writes 0.0703. Which of these statements is correct?

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

11.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.

12.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.

13.A red blood cell has a diameter of about 7 × 10⁻⁶ metres. A virus has a diameter about 100 times smaller. Work out the diameter of the virus. Give your answer in standard form.

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

15.A cyclist rides at a steady speed of 8 metres per second. Work out this speed in kilometres per hour.