Number worksheet — GCSE Foundation

1.A three-digit code is made using the digits 1, 2 and 3, and each digit may be used more than once. Work out how many different three-digit codes can be made.

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

3.Simplify 5⁻² × 5⁴, giving your answer as a single power of 5.

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

5.A machine fills bags of sugar and shows the mass of each bag to the nearest 10 g. A checker rejects any bag whose actual mass is less than 996 g. One bag shows a mass of 1,000 g on the machine. Decide whether this bag could be rejected, and give a reason for your answer.

6.Write these numbers in order, starting with the smallest: 5, −8, 0, −3, 2

7.For any two whole numbers, the product of the numbers is equal to the product of their highest common factor and their lowest common multiple. The highest common factor of 6 and 8 is 2, and 6 × 8 = 48. Work out the lowest common multiple of 6 and 8.

8.A board game has 5 different character pieces and 4 different colour tokens. The dragon piece can only be used with the gold token. Work out how many different combinations of one character piece and one colour token are possible.

9.Grace buys three items costing £9.95, £19.90 and £4.99. Work out an estimate for the total cost, by rounding each price to the nearest pound.

10.A plane flies 2340 km at an average speed of 780 km/h. It departs at 08:20. Work out the arrival time, using the 24-hour clock.

11.Work out the highest common factor of 20 and 32.

12.A bus leaves the station at 09:47 and arrives at its destination at 11:23. Work out the journey time.

13.Work out 100 − 4 × 5²

14.Write down the reciprocal of 0.2

15.Work out the reciprocal of (2 + 3)