Number worksheet — GCSE Foundation

1.Write down the symbol that makes this statement true: −2/3 ___ −5/6

2.Write 0.25 as a fraction in its simplest form.

3.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?

4.A tank contains 120 litres of water. Water is drained out at a rate of 8 litres per minute for 6 minutes, and then a hose adds 15 litres. Work out how much water is left in the tank.

5.A cinema has 21 rows of seats with 29 seats in each row. Work out an estimate for the number of people the cinema can hold, by rounding each number to 1 significant figure.

6.A necklace is made from red beads and gold beads in the ratio 7 : 3. What fraction of the beads are gold?

7.The mass of a parcel is 3 kg, correct to the nearest kilogram. Which of these masses is not possible for the parcel?

8.Light travels at 2.998 × 10⁸ metres per second. A distant object in space is 3.1 × 10¹⁵ metres from Earth. Work out an estimate for the number of seconds light takes to travel from the object to Earth, by rounding each number to 1 significant figure.

9.Work out the highest common factor of 15 and 25.

10.The diameter of an artificial silk fibre is 4 × 10⁻⁶ metres. One nanometre is 10⁻⁹ metres. Work out the diameter of the fibre in nanometres.

11.A café sells ice cream in three flavours: vanilla, mango and pistachio. Isla buys a cone with two scoops, using two different flavours, one for the bottom scoop and one for the top scoop. Work out how many different cones she could buy.

12.Write down the symbol that makes this statement true: 0.45 ___ 0.5

13.Insert one pair of brackets into 2 + 3 × 5 − 1 so that the calculation is equal to 24. Which calculation is correct?

14.Grace works out 7 × 99 by writing 99 as 100 − 1. Use her method to work out 7 × 99.

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