Number worksheet — GCSE Foundation

1.Work out the value of ∛8.

2.Write these numbers in order, starting with the largest: 7/8, 0.8, 78%, 17/20

3.Two allotments are combined. Allotment A grows vegetables and flowers in the ratio 3 : 2, and has 20 plots in total. Allotment B grows vegetables and flowers in the ratio 1 : 4, and has 20 plots in total. Work out the fraction of all the plots, in both allotments combined, that grow vegetables.

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.A block of butter has a mass of 250 g, correct to the nearest 10 g. Using m for the mass of the block in grams, write down the error interval for m.

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

7.In a photo album the ratio of colour photos to black-and-white photos is 9 : 4. Work out the number of black-and-white photos as a fraction of the number of colour photos.

8.A coach journey has a 55 minute first leg, a 20 minute break and a 40 minute second leg. The coach leaves at 13:25. Work out the arrival time, using the 24-hour clock.

9.Work out 3 1/5 + 1 2/3. Give your answer as a mixed number in its simplest form.

10.Which of these numbers lies between −4 and −1 on a number line?

11.Work out 3/4 − 5/12 exactly, giving your answer in its simplest form.

12.A tank contains 120 litres of water. Water is drained out at a rate of 8 litres per minute for 6 minutes, and then a hose adds 15 litres. Work out how much water is left in the tank.

13.Which of these numbers lies between −8 and −5 on a number line?

14.Write these numbers in order, starting with the smallest: 5, −8, 0, −3, 2

15.A student always writes the digits after the decimal point over a denominator of 100, whatever the number of decimal places. Using this wrong rule, they convert 0.9 to a fraction. Work out the correct fraction that 0.9 is equal to, giving your answer in its simplest form.