Number worksheet — GCSE Foundation

1.Write down the symbol that makes this statement true: 6/11 ___ 4/11

2.Write 0.35 as a fraction in its lowest terms.

3.Work out 3³ + 2⁴.

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

5.A photography studio offers 4 backdrops and 3 outfits for a portrait session. The plain grey backdrop, one of the 4 backdrops, cannot be used with the formal suit outfit, one of the 3 outfits. Work out how many different backdrop-and-outfit combinations are possible.

6.A pack contains 20 stickers. Noah gives 1/5 of the pack to his sister. Work out how many stickers he gives away.

7.In a youth club the number of girls is 2/3 of the number of boys. What fraction of the members of the club are girls?

8.A piece of ribbon is 2.4 metres long. Kim cuts 40 cm from it. Work out the length of ribbon left, in millimetres.

9.In a box of chocolates 5/8 are milk chocolates and the rest are dark chocolates. Work out the number of dark chocolates as a fraction of the number of milk chocolates.

10.Work out (−2)³ + (−3)² − (−4)

11.Work out 3/4 − 5/12 exactly, giving your answer in its simplest form.

12.A weather app records the temperature at three points in one day: 6 °C at noon, −2 °C at midnight, and −7 °C just before dawn. Work out the difference between the highest and lowest of these three temperatures.

13.A concert hall has 300 seats. 20% of the seats are in the balcony. Work out how many of the seats are in the balcony.

14.A tin of paint has a mass of 5.672 kg. Round this mass to 1 decimal place.

15.Work out 5 + 3 × (9 − 6)