Number worksheet — GCSE Foundation

1.A space probe is 7.5 × 10⁸ km from Earth. Write this distance as an ordinary number.

2.Round 24,681 to the nearest 1,000.

3.Amelia estimates 48 × 21 by working out 50 × 20 = 1,000. Work out whether her estimate is an under-estimate or an over-estimate, and by how much.

4.Work out the lowest common multiple of 9 and 15.

5.Freya types 4² + 3² into her calculator and writes down 49. Work out the correct value of 4² + 3².

6.For any two whole numbers, the product of the numbers is equal to the product of their highest common factor and their lowest common multiple. The highest common factor of 6 and 8 is 2, and 6 × 8 = 48. Work out the lowest common multiple of 6 and 8.

7.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?

8.A train journey takes 45 minutes, correct to the nearest 5 minutes. Using t for the actual time of the journey in minutes, write down the error interval for t.

9.Write the mixed number 2 1/4 as an improper fraction.

10.In a class, 1/3 of the pupils are girls. There are 12 girls in the class. Work out how many pupils are in the class.

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

12.A tin of soup has a mass of 450 g. A bag of potatoes has a mass of 2.6 kg. Work out the total mass, in kilograms.

13.3.4 × 10⁵ is written as an ordinary number. Work out this number.

14.Round 6.283 to 1 significant figure.

15.Sam compares 0.6 and 5/8 by comparing the digit 6 with the digit 5, and says that 0.6 is the larger number. Convert 5/8 to a decimal to find the correct larger value.