Number worksheet — GCSE Foundation

1.A number, n, is equal to 3.7 when rounded to 1 decimal place. Write down the error interval for n.

2.The number 36 can be written as 2² × 3², and the number 84 can be written as 2² × 3 × 7. Work out the highest common factor of 36 and 84.

3.Work out the total cost of 3 pens at 45p each and one notebook at £2.35. Give your answer in pounds.

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

5.2/3 of an amount of money is £30. Work out the amount.

6.The density of a type of plastic is 0.9 g/cm³. Work out this density in kg/m³.

7.Work out (2/3)² + (1/2)². Give your answer as a fraction.

8.Work out √144

9.Simplify x⁶ ÷ x²

10.Write down the reciprocal of 5/8

11.A pizza is cut into 12 equal slices. Ben eats 5 slices and Mia eats 3 slices. What fraction of the pizza is left, giving your answer in its simplest form?

12.A number is divided by 5, then 6 is subtracted, giving the result −1. Work out the number.

13.Four friends share a restaurant bill of £53.90 equally. A calculator gives each share as 13.475. Work out how much each friend should pay.

14.Work out −(−3)⁴ + (−3)³

15.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.