Number worksheet — GCSE Foundation

1.Write 0.00072 in standard form.

2.Write 60 as a product of its prime factors, using index notation.

3.A jug holds 1.8 litres of juice. Priya pours out 3/4 of a litre to fill a glass. Work out how much juice is left in the jug, in millilitres.

4.Ava measures a metal rod and records its length as 15 cm, correct to the nearest centimetre. Ben measures the same rod and records its length as 14.8 cm, correct to the nearest 0.1 cm. Decide whether both records can be correct, and give a reason for your answer.

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

6.Work out the value of √(16 + 9)

7.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.

8.An allotment plot is divided into vegetables and flowers in the ratio 9 : 4. A third of the vegetable section is used for potatoes. What fraction of the whole plot is potatoes?

9.Work out 3³ + 2⁴.

10.A bag holds 5 different sweets. Noah takes 2 of the sweets out of the bag together, so the order in which he takes them does not matter. Work out how many different pairs of sweets he could take.

11.A necklace is made from red beads and gold beads in the ratio 7 : 3. What fraction of the beads are gold?

12.Work out (4 × 10⁻³) × (2 × 10⁵). Give your answer in standard form.

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

14.Work out the highest common factor of 12 and 18.

15.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.