Number worksheet — GCSE Foundation

1.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.

2.A vending machine sells 4 types of crisps, 5 types of chocolate bar and 2 types of drink. Work out how many different combinations of one crisp packet, one chocolate bar and one drink can be bought.

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

4.Two-digit numbers are made using the digits 1, 2, 3 and 4, and no digit may be used twice in the same number. Work out how many different two-digit numbers can be made.

5.Work out 5 + 3 × (9 − 6)

6.Write 0.45 as a fraction in its simplest form.

7.Last year a company made a profit of £5,200,000. Write this amount in standard form.

8.A speed camera measures a car's speed as 34 mph, correct to the nearest mph. Work out the smallest possible actual speed of the car, in mph.

9.Work out (−2)³ + (−3)² − (−4)

10.Zoe worked out 3/8 + 1/8 by adding the numerators and the denominators, and got 4/16. Work out the correct value of 3/8 + 1/8, giving your answer in its simplest form.

11.A recipe uses 160 g of flour. Sam wants to increase the amount by 1/4. Work out the new amount of flour.

12.A grain of fine sand has a mass of 0.001 grams. Write this mass in standard form.

13.Write down the fraction, in its simplest form, that is equal to 0.6

14.A jug holds 1.25 litres of water. Ella pours in another 400 ml. Work out the total volume, in litres.

15.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.