Number worksheet — GCSE Foundation

1.A florist has 5 different flowers. Freya picks 3 of them to make a small bunch, and the order in which she picks them does not matter. Work out how many different bunches she could make.

2.Petrol costs £1.48 per litre. Sam buys 35 litres and pays with three £20 notes. Work out his change.

3.Write 45,000 in standard form.

4.Simplify x⁵ × x³ ÷ x², giving your answer as a single power of x.

5.Write down a prime number between 30 and 40.

6.Work out the value of ∛125.

7.Work out ⁴√81

8.Work out the value of 6² − 4³.

9.A company sells 4 × 10³ items per day, each priced at £2.50. It operates for 3 × 10² days a year. Work out the company's total revenue for the year. Give your answer in standard form.

10.A café is planning its lunch menu. It will offer one soup from 3 choices and one sandwich from 4 choices, but the mushroom soup, one of the 3 soups, will only be served with the cheese sandwich, one of the 4 sandwiches, on a normal day. Work out how many different soup-and-sandwich combinations are available on a normal day.

11.Work out 2⁵.

12.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.

13.Freya uses her calculator to work out 7² and writes down 14. Work out the correct value of 7².

14.A jar of jam costs £2.35. Tom buys 3 jars. He says the total cost is more than £7. Work out the exact total cost, and state whether Tom's claim is correct.

15.A number line runs from 0 to 1 and is divided into 4 equal parts. Which mark on the line represents 1/4?