Number worksheet — GCSE Foundation

1.The population of a planet is 8 × 10⁹. Write this population as an ordinary number.

2.A cycle route is 350 m long. A footpath runs alongside it for 3/7 of that length. Work out the length of the footpath.

3.Write 0.45 as a fraction in its simplest form.

4.A machine fills bags of sugar and shows the mass of each bag to the nearest 10 g. A checker rejects any bag whose actual mass is less than 996 g. One bag shows a mass of 1,000 g on the machine. Decide whether this bag could be rejected, and give a reason for your answer.

5.Work out ∛(−27) + ∛8

6.The distance from the Earth to the Moon is 384,000 km. Write this distance in standard form, in kilometres.

7.A florist has 5 different flowers. Freya picks 3 of them to make a small bunch, and the order in which she picks them does not matter. Work out how many different bunches she could make.

8.Write 90 as a product of its prime factors.

9.A photography studio offers 4 backdrops and 3 outfits for a portrait session. The plain grey backdrop, one of the 4 backdrops, cannot be used with the formal suit outfit, one of the 3 outfits. Work out how many different backdrop-and-outfit combinations are possible.

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

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

12.Work out √25 + 4² − 12 ÷ 3

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

14.Jack buys 3 books, each costing £4.25, and pays with a £20 note. Work out how much change he receives.

15.For any two whole numbers, the product of the numbers is equal to the product of their highest common factor and their lowest common multiple. The highest common factor of 6 and 8 is 2, and 6 × 8 = 48. Work out the lowest common multiple of 6 and 8.