Number worksheet — GCSE Foundation

1.A spreadsheet shows that 812 − 397 = 315. Work out an estimate for 812 − 397, by rounding each number to the nearest 100, to check whether the spreadsheet's answer is reasonable.

2.Work out (−2/5) × (−10/3). Give your answer as a fraction in its simplest form.

3.Work out 2/5 + 1/4, giving your answer in its simplest form.

4.A pack contains 20 stickers. Noah gives 1/5 of the pack to his sister. Work out how many stickers he gives away.

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

6.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.

7.In a fruit basket the ratio of bananas to oranges is 2 : 5. What fraction of the fruit are oranges?

8.Work out 8% of £250.

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

10.Nadia has £84. She spends 3/7 of it on a jacket and the rest on a bag. Work out the ratio of the amount spent on the jacket to the amount spent on the bag, in its simplest form.

11.A number, x, is truncated (not rounded) to 1 decimal place and the result is 6.2. Write down the error interval for x.

12.Write 5,000,000 in standard form.

13.Write down the value of 7⁰

14.Tickets to a theme park cost £38.50 for an adult and £19.75 for a child. A family estimates the total cost for 4 adults and 3 children, by rounding each ticket price to the nearest £5. Work out their estimate for the total cost.

15.Work out the value of 6² − 4³.