Number worksheet — GCSE Foundation

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

2.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.

3.A sponsored walk raised £350 for charity. 20% of the money raised is spent on equipment. Work out how much is spent on equipment.

4.A student works out the exact area of a circle with radius 4 cm by squaring the radius but forgetting to multiply by π. Work out the correct exact area of the circle, in terms of π.

5.Work out 20 − 8 ÷ 2 + 1

6.Which one of these statements about negative numbers is true?

7.Work out 3³ + 2⁴.

8.Is 120 divisible by 5? Give a reason for your answer.

9.Which of these numbers is the largest: −9, −7, −4, −2?

10.Work out 3π − π, giving your answer as a multiple of π.

11.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.

12.Work out 2/5 of 45.

13.Work out 35% of 180.

14.Write 60 as a product of its prime factors, using index notation.

15.Work out 8% of £250.