Number worksheet — GCSE Foundation

1.At a book fair the ratio of fiction books to non-fiction books is 4 : 5. Of the non-fiction books, 3/5 are about history. Work out the fraction of all the books at the fair that are history books.

2.Write 0.25 as a fraction in its simplest form.

3.A rectangular tile measures 45 cm by 0.6 m. Work out its area, in square centimetres.

4.Work out an estimate for 588 ÷ 31, by rounding each number to 1 significant figure.

5.A café orders 340 bread rolls at 24p each and 85 cakes at £1.35 each. Work out the total cost of the order.

6.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.

7.A country has an area of 25,000,000 hectares. Write this area in standard form.

8.A coach journey has a 55 minute first leg, a 20 minute break and a 40 minute second leg. The coach leaves at 13:25. Work out the arrival time, using the 24-hour clock.

9.The highest common factor of two numbers is 4 and their lowest common multiple is 60. One of the numbers is 20. Work out the other number.

10.A minibus can carry 16 passengers. A school is taking 179 pupils on a trip. By rounding 179 to the nearest 10, work out an estimate for the number of minibuses needed, given that the school cannot hire part of a minibus.

11.A number line runs from 0 to 1 and is divided into 4 equal parts. Which mark on the line represents 1/4?

12.Find the missing number: 17 × ▢ = 391

13.A train leaves Leeds at 14:35. The journey takes 1 hour 50 minutes. Work out the time the train arrives. Give your answer using the 24-hour clock.

14.Freya types 4² + 3² into her calculator and writes down 49. Work out the correct value of 4² + 3².

15.Priya adds 3.6 and 0.45 on paper and writes down 3.65 as her answer. Work out the correct value of 3.6 + 0.45.