Number worksheet — GCSE Foundation

1.Work out 2 × 3 × 5 + 1 and decide whether the result is a prime number.

2.An allotment is divided into two plots in the ratio 2:3. The larger plot has an area of 18 m². Work out the fraction of the total area taken up by the smaller plot.

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

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

5.A pair of trainers is priced at £80 online. The shop takes 25% off the price and then adds £10 for next-day delivery. Work out the total cost.

6.The diameter of an artificial silk fibre is 4 × 10⁻⁶ metres. One nanometre is 10⁻⁹ metres. Work out the diameter of the fibre in nanometres.

7.Write down a prime number between 30 and 40.

8.Find the missing number: ▢ ÷ 15 = 24

9.Work out the value of √64.

10.Work out (−6) + (−4) × 3

11.A metal cube has a mass of 540 g and a volume of 60 cm³. Work out its density in g/cm³.

12.Write 200 as a product of its prime factors, using index notation.

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

14.A recipe needs 0.485 kg of flour per cake. A bakery estimates its flour order by rounding this amount to 1 significant figure, then multiplying by the 60 cakes it plans to bake. Work out the bakery's estimate for the total flour needed, in kg.

15.In a music collection, the ratio of pop albums to rock albums is 5 : 3. Work out the number of rock albums as a fraction of the number of pop albums.