Number worksheet — GCSE Foundation

1.Work out (8 × 10⁻⁵) × (5 × 10³). Give your answer in standard form.

2.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.

3.Two bags of mixed nuts are combined. Bag A has peanuts and cashews in the ratio 2 : 3. Bag B has peanuts and cashews in the ratio 1 : 4. Both bags contain the same total number of nuts. Work out the fraction of the combined mixture that is peanuts.

4.Work out (5 × 10⁴) ÷ (2 × 10⁻²). Give your answer in standard form.

5.Which of these units would be most appropriate to use when stating the mass of a small car?

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

7.Work out 15% of £40, using 10% and 5%.

8.Work out an estimate for 312 × 19, by rounding each number to 1 significant figure.

9.A student writes 0.08 as the fraction 8/10, reading the 8 as if it stood in the tenths column and ignoring the zero. Work out the correct fraction that 0.08 is equal to, giving your answer in its simplest form.

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

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

12.Work out 3/7 × 14/9. Give your answer as a fraction in its simplest form.

13.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.

14.At a swimming pool the ratio of adults to children is 3 : 5. Of the children, 2/5 are boys. What fraction of the people at the pool are boys?

15.Four students work out 6 + 2 × 3. Which student has worked it out correctly?