Number worksheet — GCSE Foundation

1.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.

2.Work out an estimate for 397 ÷ 21, by rounding each number to 1 significant figure.

3.Work out the total cost of 3 pens at 45p each and one notebook at £2.35. Give your answer in pounds.

4.In a classroom the ratio of boys to girls is 3 : 4. What fraction of the class are boys?

5.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.

6.At midday the temperature in the Lake District was 3 °C. By midnight it had fallen to −6 °C. Work out the fall in temperature.

7.Work out 1 1/2 ÷ 3/4 exactly, giving your answer in its simplest form.

8.In the number 3.472, work out the value of the digit 7.

9.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.

10.Work out √25 + 4² − 12 ÷ 3

11.A gym increases its membership price by 1/5. The original price is £60. Work out the new price.

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

13.4ˣ = 64. Work out the value of x.

14.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.

15.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.