Number worksheet — GCSE Foundation

1.In a class, 1/3 of the pupils are girls. There are 12 girls in the class. Work out how many pupils are in the class.

2.A window display has red baubles, gold baubles and green baubles in the ratio 4 : 5 : 6. What fraction of the baubles are not green?

3.Work out the value of 5³.

4.A number, n, is equal to 3.7 when rounded to 1 decimal place. Write down the error interval for n.

5.A carton of orange juice holds 1.35 litres. Ruby pours the juice equally into 4 identical glasses. Work out how much juice is in each glass, giving your answer as a fraction of a litre in its simplest form.

6.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.

7.A rectangular tile measures 45 cm by 0.6 m. Work out its area, in square centimetres.

8.Work out (2/3)² + (1/2)². Give your answer as a fraction.

9.A recipe uses 160 g of flour. Sam wants to increase the amount by 1/4. Work out the new amount of flour.

10.Four weather stations each recorded their lowest overnight temperature. Which of these readings is the lowest?

11.Write down the fraction, in its simplest form, that is equal to 0.6

12.Work out an estimate for 8,900 ÷ 29, by rounding each number to 1 significant figure.

13.Meera says that 0.7 ÷ 0.1 = 0.07. Work out the correct value of 0.7 ÷ 0.1.

14.Work out 3/8 of 96.

15.Work out (−2)² − 3