Number worksheet — GCSE Foundation

1.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.

2.Write these three numbers in order, starting with the smallest: 7/20, 0.3, 32%

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

4.A car manufacturer offers a car in 6 colours and 4 trim levels. Two colour-and-trim combinations are not available: red with sport trim, and white with sport trim. Work out how many different colour-and-trim combinations are available.

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.Write the fraction 9/25 as a decimal.

7.A washing machine costs £320 before VAT. VAT is charged at 20%. Work out the total price including VAT.

8.A student always writes the digits after the decimal point over a denominator of 100, whatever the number of decimal places. Using this wrong rule, they convert 0.9 to a fraction. Work out the correct fraction that 0.9 is equal to, giving your answer in its simplest form.

9.Simplify (y³)⁴, giving your answer as a single power of y.

10.Round 24,681 to the nearest 1,000.

11.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.

12.A number is multiplied by 4, then 8 is added, giving the result 40. Work out the number.

13.Work out an estimate for 113 + 491, by rounding each number to the nearest 100.

14.Write 0.36 as a fraction in its simplest form.

15.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.