Number worksheet — GCSE Foundation

1.A fabric is dyed blue and yellow in the ratio 3 : 5. A tailor uses 1.5 m of blue fabric and the matching amount of yellow fabric needed for the ratio. Work out the total length of fabric used.

2.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.

3.Four students work out 6 + 2 × 3. Which student has worked it out correctly?

4.£60 is shared between Amir, Bo and Chen in the ratio 1:2:3. Work out the fraction of the £60 that Amir and Bo receive together.

5.A car manufacturer offers a car in 6 colours and 4 trim levels. Two colour-and-trim combinations are not available: red with sport trim, and white with sport trim. Work out how many different colour-and-trim combinations are available.

6.A student writes 0.08 as the fraction 8/10, reading the 8 as if it stood in the tenths column and ignoring the zero. Work out the correct fraction that 0.08 is equal to, giving your answer in its simplest form.

7.A florist has 60 red roses and 84 white roses. She wants to make identical bunches using all the flowers, with the greatest possible number of bunches. Work out how many red roses will be in each bunch.

8.In a chess club, 3/8 of the members are girls and the rest are boys. Write down the ratio of girls to boys.

9.Amelia has 49 boxes of apples with 21 apples in each box. Work out an estimate for the total number of apples, by rounding each number to 1 significant figure.

10.Write 0.0038 in standard form.

11.Work out the reciprocal of (2 + 3)

12.A concert hall has 300 seats. 20% of the seats are in the balcony. Work out how many of the seats are in the balcony.

13.A jug holds 3 1/3 litres of juice. Each glass holds 2/3 of a litre. Work out how many glasses can be filled from the jug.

14.Simplify 3² ÷ 3⁵, giving your answer as a single power of 3.

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