Number worksheet — GCSE Foundation

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

2.A student works out the exact area of a circle with radius 4 cm by squaring the radius but forgetting to multiply by π. Work out the correct exact area of the circle, in terms of π.

3.Work out an estimate for 8,900 ÷ 29, by rounding each number to 1 significant figure.

4.Work out 3.7 × 24.

5.Work out the lowest common multiple of 9 and 15.

6.Chloe wants to work out 3 1/4 − 1 2/3. She converts both mixed numbers to twelfths, then subtracts the whole numbers and the fraction parts separately, without checking whether she needs to exchange first. Work out the correct value of 3 1/4 − 1 2/3, giving your answer as a mixed number in its simplest form.

7.A square petri dish has an area of 121 mm². A scientist wants to know its side length. Work out the side length of the dish.

8.A circle has a radius of 5 cm. Work out the exact circumference of the circle, in terms of π.

9.Which of these is written correctly in standard form?

10.Work out 8% of £250.

11.The length of a pencil is 8.4 cm, correct to 1 decimal place. Using L for the length of the pencil in centimetres, write down the error interval for L.

13.Simplify x⁵ × x³ ÷ x², giving your answer as a single power of x.

14.A restaurant offers a lunch deal of one starter from 5 options, one main from 6 options and one dessert from 3 options. Work out how many different lunch deals are possible.

15.Write 0.875 as a fraction in its simplest form.