Number worksheet — GCSE Foundation

1.A square petri dish has an area of 121 mm². A scientist wants to know its side length. Work out the side length of the dish.

2.The density of a type of plastic is 0.9 g/cm³. Work out this density in kg/m³.

3.Write the mixed number 2 1/4 as an improper fraction.

4.Put these three numbers in order of size, starting with the smallest: 3/8, 0.4, 0.35

5.A car travels 180 km using 6 litres of fuel. Work out the car's fuel consumption in kilometres per litre, then work out how many kilometres it can travel on a full tank of 12 litres at this rate.

6.In a box of counters the ratio of red counters to blue counters is 4 : 5. What fraction of the counters are blue?

7.A choir has sopranos, altos and tenors in the ratio 6 : 4 : 5. What fraction of the choir is not tenors?

8.Write 0.875 as a fraction in its simplest form.

9.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.

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

11.Insert one pair of brackets into 2 + 3 × 5 − 1 so that the calculation is equal to 24. Which calculation is correct?

12.Which of these decimals lies between 1/4 and 2/5?

13.A plumber charges a call-out fee of £45 and then £28 for each hour she works. She is at a house from 09:15 until 12:45. Work out the total charge.

14.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.

15.A jar of jam costs £2.35. Tom buys 3 jars. He says the total cost is more than £7. Work out the exact total cost, and state whether Tom's claim is correct.