Number worksheet — GCSE Foundation

1.Write 0.005 in standard form.

2.Write the fraction 47/50 as a decimal.

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

4.By listing systematically, work out how many two-digit multiples of 5 can be made using the digits 0, 3 and 5, if each digit can be used at most once and the number cannot start with 0.

5.Work out 2/5 + 1/4, giving your answer in its simplest form.

6.On a number line, point A is at −1. Point B is 4 units from point A. Write down the two possible positions of point B.

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

8.Write 0.36 as a fraction in its simplest form.

9.Work out √(4 × 9)

10.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.

11.Grace drinks 1/3 of a bottle of water in the morning and another 1/3 of the same bottle in the afternoon. Work out what fraction of the bottle she has drunk altogether.

12.Work out 3π − π, giving your answer as a multiple of π.

13.Tickets to a theme park cost £38.50 for an adult and £19.75 for a child. A family estimates the total cost for 4 adults and 3 children, by rounding each ticket price to the nearest £5. Work out their estimate for the total cost.

14.Rice is sold in a 400 g bag for £1.12 and in a 1.5 kg bag for £3.90. Work out how much less the rice in the larger bag costs per kilogram.

15.Work out −(−3)⁴ + (−3)³