Number worksheet — GCSE Foundation

1.A length, L cm, has the error interval 24.5 ≤ L < 25.5. Write down the degree of accuracy to which the length was measured.

2.A charity raises 8 × 10⁶ pounds. This total is shared equally among 2 × 10² local projects. Work out how much each project receives, in standard form.

3.Work out (−36) ÷ (−6) × 2

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

5.Work out the value of 5³.

6.A circle has a radius of 5 cm. Work out the exact circumference of the circle, in terms of π.

7.In a car park the ratio of vans to cars is 2 : 7. Work out the number of vans as a fraction of the number of cars.

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

9.Round 0.0759 to 2 decimal places.

10.A café offers 3 types of soup and 4 types of bread roll. Work out how many different combinations of one soup and one bread roll are possible.

11.A tin of beans has a mass of 650 g. A bag of rice has a mass of 1.35 kg. Work out the total mass, in kilograms.

12.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.

13.Work out 250 ÷ 1000.

14.A bag holds 50 counters. 2/5 of them are red and the rest are blue. 5 red counters are then taken out of the bag. Work out the new ratio of red counters to blue counters. Give your answer in its simplest form.

15.The distance from the Earth to the Moon is 384,000 km. Write this distance in standard form, in kilometres.