Number worksheet — GCSE Foundation

1.Round 0.006852 to 2 significant figures.

2.Work out 1/2 of 1/4 of 80.

3.A pair of trainers is priced at £80 online. The shop takes 25% off the price and then adds £10 for next-day delivery. Work out the total cost.

4.A cycle route is 350 m long. A footpath runs alongside it for 3/7 of that length. Work out the length of the footpath.

5.Priya has 24 red beads and 36 blue beads. She makes identical bracelets, using every bead and with none left over. Work out the greatest number of bracelets she can make.

6.Work out (8 × 10⁻⁵) × (5 × 10³). Give your answer in standard form.

7.A quarter-circle has a radius of 6 cm. Work out the exact perimeter of the quarter-circle, giving your answer in terms of π.

8.Work out 0.6 × 0.04.

9.The highest common factor of two numbers is 4 and their lowest common multiple is 60. One of the numbers is 20. Work out the other number.

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

11.3/5 of the students in a year group walk to school. 90 students walk to school. Work out the total number of students in the year group.

12.Oliver drives 95 km at an average speed of 50 km/h. Work out an estimate for the time the journey takes, by rounding the distance to the nearest 100 km.

13.A water tank holds 80 litres when full. It currently contains 60 litres. Work out what fraction of the tank is empty.

14.A recipe needs 0.485 kg of flour per cake. A bakery estimates its flour order by rounding this amount to 1 significant figure, then multiplying by the 60 cakes it plans to bake. Work out the bakery's estimate for the total flour needed, in kg.

15.Leah measures the length of her classroom with a tape measure marked in centimetres. She writes the length down as 7.3157 m. Give a reason why this is not an appropriate degree of accuracy.