Number worksheet — GCSE Foundation

1.A rectangular patio measures 90 cm by 120 cm. Ben wants to cover it exactly with identical square tiles, as large as possible, with no tiles cut. Work out the side length of the largest square tile he can use.

2.Freya uses her calculator to work out 7² and writes down 14. Work out the correct value of 7².

3.Work out (−2)³ + (−3)² − (−4)

4.Work out 3 1/5 + 1 2/3. Give your answer as a mixed number in its simplest form.

5.Write down the reciprocal of 5/8

6.A rectangular plywood panel measures 2.4 m by 0.75 m. Work out the area of the panel in square metres, giving your answer as a fraction in its simplest form.

7.A sponsored walk is 36 km long. Aisha has completed 8/12 of the walk. Work out how far she has walked.

8.In a classroom the ratio of boys to girls is 3 : 4. What fraction of the class are boys?

9.Work out an estimate for 397 ÷ 21, by rounding each number to 1 significant figure.

10.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.

11.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.

12.Work out the highest common factor of 15 and 25.

13.A shelf is 60 cm long, correct to the nearest 10 cm. Write down the upper bound for the length of the shelf, in centimetres.

14.A charity bake sale sells 187 cakes at £2.95 each. By rounding each number to 1 significant figure, work out an estimate for the total amount raised.

15.Work out √225 ÷ 3.