Number worksheet — GCSE Foundation

1.Round 4,685 to the nearest 100.

2.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.

3.Two-digit numbers are formed using the digits 2, 5, 7 and 8, and each digit may be used only once in a number. Work out how many of these two-digit numbers are even.

4.A grain of fine sand has a mass of 0.001 grams. Write this mass in standard form.

5.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.

6.A bus leaves the station at 09:47 and arrives at its destination at 11:23. Work out the journey time.

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

8.Work out √144

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

10.Write these fractions in order, starting with the smallest: 2/3, 3/5, 5/6, 1/2

11.The mass of a parcel is 3 kg, correct to the nearest kilogram. Which of these masses is not possible for the parcel?

12.Simplify x⁷ × x⁴, giving your answer as a single power of x.

13.A rectangular field measures 19.6 m by 48.3 m. Work out an estimate for the area of the field, by rounding each length to 1 significant figure.

14.Grace works out 7 × 99 by writing 99 as 100 − 1. Use her method to work out 7 × 99.

15.A company sells 4 × 10³ items per day, each priced at £2.50. It operates for 3 × 10² days a year. Work out the company's total revenue for the year. Give your answer in standard form.