Number worksheet — GCSE Foundation

1.Ava measures a metal rod and records its length as 15 cm, correct to the nearest centimetre. Ben measures the same rod and records its length as 14.8 cm, correct to the nearest 0.1 cm. Decide whether both records can be correct, and give a reason for your answer.

2.A sponsored walk is 36 km long. Aisha has completed 8/12 of the walk. Work out how far she has walked.

3.A garden has flowers, herbs and vegetables in the ratio 2 : 3 : 4. What fraction of the garden is not vegetables?

4.Work out an estimate for 89 + 52, by rounding each number to the nearest 10.

5.A quiz has 50 questions. Freya answers 10% of them incorrectly. Work out how many questions she answers incorrectly.

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

7.A digital timer truncates every time to 1 decimal place. It shows a swimmer's time for one length as 12.3 seconds. Using t for the swimmer's actual time in seconds, write down the error interval for t.

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

9.Write down the value of 7⁰

10.Chloe wants to work out 3 1/4 − 1 2/3. She converts both mixed numbers to twelfths, then subtracts the whole numbers and the fraction parts separately, without checking whether she needs to exchange first. Work out the correct value of 3 1/4 − 1 2/3, giving your answer as a mixed number in its simplest form.

11.A pizza is cut into 12 equal slices. Ben eats 5 slices and Mia eats 3 slices. What fraction of the pizza is left, giving your answer in its simplest form?

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

13.Work out an estimate for 113 + 491, by rounding each number to the nearest 100.

14.Work out (2/3)² + (1/2)². Give your answer as a fraction.

15.Work out the value of 5³.