Number worksheet — GCSE Higher

1.A rectangular tile measures 45 cm by 0.6 m. Work out its area, in square centimetres.

2.A van has a mass of 2,000 kg, correct to 1 significant figure. Using m for the mass of the van in kilograms, write down the error interval for m.

3.In a school long jump competition Priya's jump is recorded as 3.8 m and Nadia's jump is recorded as 3.9 m, each correct to the nearest 0.1 m. Priya says she may have jumped further than Nadia. Decide whether Priya is right, and give a reason for your answer.

4.A cinema has 250 seats. 12% of the seats are reserved. Work out how many of the seats are reserved.

5.Write down the reciprocal of 0.2

6.Write down the exact decimal value of the fraction 1/6.

7.Rationalise the denominator of 10/(4 − √6), giving your answer in its simplest form.

8.A metal cube has a mass of 540 g and a volume of 60 cm³. Work out its density in g/cm³.

9.Write 12 as a product of its prime factors.

10.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.

11.A jumper is reduced by 15% in a sale to a price of £42.50. Work out the original price.

12.Two fair six-sided dice are rolled together. One die is red and the other is blue. Work out how many different outcomes are possible.

13.n is a whole number and 2 ≤ n < 6. Write down all the possible values of n.

14.Amelia estimates 48 × 21 by working out 50 × 20 = 1,000. Work out whether her estimate is an under-estimate or an over-estimate, and by how much.

15.A plumber charges a call-out fee of £45 and then £28 for each hour she works. She is at a house from 09:15 until 12:45. Work out the total charge.