Number worksheet — GCSE Foundation

1.Write 0.00072 in standard form.

2.A tap fills a 20 litre bucket in 2 minutes 30 seconds. Work out the rate of flow, in litres per minute.

3.Write these decimals in order, starting with the smallest: 0.6, 0.55, 0.601, 0.5, 0.56

4.Maya buys 4 plants at £3.20 each and a bag of compost for £6.75. She pays with a £20 note. Work out her change.

5.Write 45,000 in standard form.

6.Two fair six-sided dice are rolled and their scores are added together. By listing the possible totals systematically, work out how many different totals are possible.

7.A quantity surveyor calculates a length as 24.6851 m. Round this length to 2 decimal places.

8.Work out 8% of £250.

9.A number, n, is equal to 3.7 when rounded to 1 decimal place. Write down the error interval for n.

10.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.

11.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.

12.A circle has a radius of 3 cm. Which of these is the exact area of the circle?

13.To estimate the cost of buying 38.7 m of rope at £21.40 per metre, both numbers are first rounded to 1 significant figure. Work out the estimate.

14.A gym increases its membership price by 1/5. The original price is £60. Work out the new price.

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