Number worksheet — GCSE Foundation

1.Write these numbers in order, starting with the smallest: 3, −1, 0, −5

2.In a school, 3/5 of the students study French. Of these students, 2/3 also study Spanish. What fraction of all the students study both French and Spanish?

3.Work out 15% of £40, using 10% and 5%.

4.Maya buys 4 plants at £3.20 each and a bag of compost for £6.75. She pays with a £20 note. Work out her change.

5.Work out the highest common factor of 15 and 25.

6.A vending machine sells 4 types of crisps, 5 types of chocolate bar and 2 types of drink. Work out how many different combinations of one crisp packet, one chocolate bar and one drink can be bought.

7.A country's population is 8,340,000, and it is estimated that 1,950,000 of them live in the capital city. By rounding each number to 1 significant figure, work out an estimate for the number of people who do not live in the capital city.

8.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.

9.Work out an estimate for 6.4 × 3.9, by rounding each number to the nearest whole number.

10.Work out 3/7 × 14/9. Give your answer as a fraction in its simplest form.

11.A restaurant offers a lunch deal of one starter from 5 options, one main from 6 options and one dessert from 3 options. Work out how many different lunch deals are possible.

12.Work out √144 − 2 × 3 + √25

13.In standard form, 2,000 is written as 2 × 10ⁿ. Write down the value of n.

14.Work out 20 − 8 ÷ 2 + 1

15.A recipe for one cake needs 2/3 of a cup of sugar. Priya has 3 1/2 cups of sugar. Work out how many complete cakes she can make.