Number worksheet — GCSE Foundation

1.On a number line, point A is at −1. Point B is 4 units from point A. Write down the two possible positions of point B.

2.Work out (−36) ÷ (−6) × 2

3.In a fruit crate the ratio of oranges to lemons is 5 : 6. What fraction of the fruit in the crate are lemons?

4.Work out (3 × 5)²

5.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.

6.Work out the highest common factor of 20 and 32.

7.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.

8.A vending machine sells 4 types of crisps, 5 types of chocolate bar and 2 types of drink. Work out how many different combinations of one crisp packet, one chocolate bar and one drink can be bought.

9.The mass of a radioactive sample, in grams, n years after it was first weighed is modelled by M = 200 × (1/2)ⁿ. Work out the mass the model gives after 3 years.

10.A spinner has 4 colours and a coin has 2 sides. Work out how many different outcomes are possible when the spinner is spun once and the coin is tossed once.

11.Write '3.2 million' as a number in figures.

12.A country's population is 8,340,000, and it is estimated that 1,950,000 of them live in the capital city. By rounding each number to 1 significant figure, work out an estimate for the number of people who do not live in the capital city.

13.Find the missing number: 17 × ▢ = 391

14.Which of these numbers lies between −8 and −5 on a number line?

15.3.4 × 10⁵ is written as an ordinary number. Work out this number.