Number worksheet — GCSE Foundation

1.Find the missing number: ▢ ÷ 15 = 24

2.Sam compares 0.6 and 5/8 by comparing the digit 6 with the digit 5, and says that 0.6 is the larger number. Convert 5/8 to a decimal to find the correct larger value.

3.Write down the value of 3⁰

4.Work out (−2)² − 3

5.The distance from the Earth to the Moon is 384,000 km. Write this distance in standard form, in kilometres.

6.A country has an area of 25,000,000 hectares. Write this area in standard form.

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

8.A lift has a safe working load of 500 kg. Four people get in the lift and the lift's display records their total mass as 493 kg, correct to the nearest kg. Decide whether the four people are definitely within the safe working load.

9.3/5 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.

10.A train leaves Leeds at 14:35. The journey takes 1 hour 50 minutes. Work out the time the train arrives. Give your answer using the 24-hour clock.

11.Work out 4π + 2π, giving your answer as a multiple of π.

12.Work out an estimate for 8,900 ÷ 29, by rounding each number to 1 significant figure.

13.Write 260,000 in standard form.

14.In a science experiment, the temperature of a liquid is recorded as 18.6 °C, correct to the nearest 0.2 °C. Write down the error interval for the actual temperature, T °C.

15.A café offers sandwiches with one filling from 5 choices and one type of bread from 4 choices. Cheese and mustard, which is one of the 5 fillings, is not available on gluten-free bread, which is one of the 4 breads. Work out how many different sandwiches are possible.