Number worksheet — GCSE Foundation

1.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.

2.The error interval for the mass of a suitcase, m kg, is given as 22.5 ≤ m < 23.5. Write down the mass of the suitcase, correct to the nearest whole number.

3.A florist has 5 different flowers. Freya picks 3 of them to make a small bunch, and the order in which she picks them does not matter. Work out how many different bunches she could make.

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

5.A flight departs at 21:35 and lands at 06:10 the following morning. Work out the total flight time.

6.Two fair six-sided dice are rolled together. One die is red and the other is blue. Work out how many different outcomes are possible.

7.A photograph uses 4 × 10⁶ bytes of storage. A memory card holds 3.2 × 10¹⁰ bytes. Work out how many of these photographs the card can hold. Give your answer in standard form.

8.A country's population is 8,340,000, and it is estimated that 1,950,000 of them live in the capital city. By rounding each number to 1 significant figure, work out an estimate for the number of people who do not live in the capital city.

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

10.A cheetah runs at a steady speed of 25 metres per second. Work out this speed in kilometres per hour.

11.A lorry travels 105 miles in 1 hour 45 minutes. Work out its average speed in miles per hour.

12.A number, y, is equal to 8.2 when rounded to 1 decimal place. Write down the error interval for y.

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

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

15.Round 0.006482 to 2 significant figures.