Number worksheet — GCSE Foundation

1.Work out 100 − 4 × 5²

2.Work out 5⁰ + 5¹ + 5²

3.Which of these numbers rounds to 0.048 when rounded to 2 significant figures?

4.A garden path is measured by Jon as 12 m, correct to the nearest metre, and by Mia as 12.6 m, correct to the nearest 0.1 m. Which statement about the two measurements is correct?

5.The number of pages in a book is 240, correct to the nearest 10 pages. Write down the error interval for the actual number of pages, n.

6.Work out 3 + 4 × 2²

7.The number 24 can be written as 2³ × 3, and the number 60 can be written as 2² × 3 × 5. Work out the lowest common multiple of 24 and 60.

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

10.A shortbread recipe uses flour and butter in the ratio 5 : 2. Yuki changes the recipe by doubling the amount of butter but keeping the amount of flour the same. Work out the fraction of the new mixture that is butter.

11.Work out √225 ÷ 3.

12.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.

13.A concert hall has 300 seats. 20% of the seats are in the balcony. Work out how many of the seats are in the balcony.

14.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.

15.Write 0.875 as a fraction in its simplest form.