Number worksheet — GCSE Foundation

1.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.

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

3.Work out 4π + 2π, giving your answer as a multiple of π.

4.Write these three numbers in order, starting with the smallest: 7/20, 0.3, 32%

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

6.In a youth club the number of girls is 2/3 of the number of boys. What fraction of the members of the club are girls?

7.3/5 of a 5/6 litre bottle of juice is poured out. Work out the exact volume poured out, in litres.

8.Work out 2 × (−3 + 7)

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

11.Work out (4 × 10³) × (3 × 10¹). Give your answer in standard form.

12.In a box of chocolates 5/8 are milk chocolates and the rest are dark chocolates. Work out the number of dark chocolates as a fraction of the number of milk chocolates.

13.A company sells 4 × 10³ items per day, each priced at £2.50. It operates for 3 × 10² days a year. Work out the company's total revenue for the year. Give your answer in standard form.

14.Write down the symbol that makes this statement true: −9 ___ −4

15.Write these numbers in order, starting with the smallest: 3, −1, 0, −5