Number worksheet — GCSE Foundation

1.Work out an estimate for 6.8 × 41, by rounding each number to 1 significant figure.

2.A cinema has 21 rows of seats with 29 seats in each row. Work out an estimate for the number of people the cinema can hold, by rounding each number to 1 significant figure.

3.A weather app records the temperature at three points in one day: 6 °C at noon, −2 °C at midnight, and −7 °C just before dawn. Work out the difference between the highest and lowest of these three temperatures.

4.Work out 5 + 3 × (9 − 6)

5.A charity shop buys a coat for £24 and sells it for a profit that is 3/8 of the buying price. Work out the selling price.

6.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.

7.In a school long jump competition Priya's jump is recorded as 3.8 m and Nadia's jump is recorded as 3.9 m, each correct to the nearest 0.1 m. Priya says she may have jumped further than Nadia. Decide whether Priya is right, and give a reason for your answer.

8.Write 0.06 as a fraction in its simplest form.

9.Work out 1/2 of 1/4 of 80.

10.Simplify 5⁻² × 5⁴, giving your answer as a single power of 5.

11.A three-digit code is made using the digits 1, 2 and 3, and each digit may be used more than once. Work out how many different three-digit codes can be made.

12.In a classroom the ratio of boys to girls is 3 : 4. What fraction of the class are boys?

13.Write down the value of 3⁰

14.A box stands on a table. The box exerts a force of 240 N on the table, and the base of the box has an area of 0.8 m². Work out the pressure the box exerts on the table, in N/m².

15.n is a whole number and 2 ≤ n < 6. Write down all the possible values of n.