Number worksheet — GCSE Foundation

1.Oliver uses his calculator to work out 25% of 80 and writes down 320. Without using a calculator, work out the correct value of 25% of 80.

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

3.At a bus station one bus leaves every 6 minutes and another leaves every 9 minutes. The two buses leave together at the start of the day. Work out how long it is until they next leave together.

4.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.

5.A number, n, is equal to 3.7 when rounded to 1 decimal place. Write down the error interval for n.

6.Simplify 5⁻² × 5⁴, giving your answer as a single power of 5.

7.Work out 1/2 of 1/4 of 80.

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

9.In a school, 3/5 of the students study French. Of these students, 2/3 also study Spanish. What fraction of all the students study both French and Spanish?

10.Work out (−36) ÷ (−6) × 2

11.A number, n, is a multiple of both 6 and 9. Work out the smallest possible value of n that is greater than 20.

12.A circle has a radius of 3 cm. Which of these is the exact area of the circle?

13.Hannah works out 3.1 × 19.6 on her calculator and writes down 6.076. Work out an estimate for 3.1 × 19.6, by rounding each number to 1 significant figure.

14.A quiz has 50 questions. Freya answers 10% of them incorrectly. Work out how many questions she answers incorrectly.

15.Work out an estimate for 2.9² + 3.1², by rounding each number to the nearest whole number.