Number worksheet — GCSE Foundation

1.Work out 3 × (−2)² − 5

2.Write these numbers in order, starting with the smallest: −1.4, 5/4, −6/5, 1.3, 0

3.Write these three numbers in order, starting with the smallest: 3/5, 0.55, 58%

4.Work out 4368 ÷ 12.

5.Write 5,000,000 in standard form.

6.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.

7.A shortbread recipe uses flour and butter in the ratio 5 : 2. Yuki changes the recipe by doubling the amount of butter but keeping the amount of flour the same. Work out the fraction of the new mixture that is butter.

8.A shop assistant says that 7.2 × 3.9 = 56.16. Work out an estimate for 7.2 × 3.9, by rounding each number to the nearest whole number, to show that the assistant’s answer cannot be correct.

9.Work out 2 × (−3 + 7)

10.Work out 5/6 × 2/9, giving your answer in its simplest form.

11.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.

12.Work out −(−3)⁴ + (−3)³

13.Work out (−6) + (−4) × 3

14.Round 6.283 to 1 significant figure.

15.Light travels at 2.998 × 10⁸ metres per second. A distant object in space is 3.1 × 10¹⁵ metres from Earth. Work out an estimate for the number of seconds light takes to travel from the object to Earth, by rounding each number to 1 significant figure.