Number worksheet — GCSE Foundation

2.Which of these statements about −0.7 and −0.25 is true?

3.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.

4.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.

5.Round 4,685 to the nearest 100.

6.Work out 15% of £40, using 10% and 5%.

7.Write these fractions in order, starting with the smallest: 2/3, 3/5, 5/6, 1/2

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

9.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.

10.A box holds 140 pens. 25% of the pens are red. Work out how many of the pens are red.

11.A restaurant adds a service charge of 15% to a bill of £120. Work out the service charge.

12.Sara has a red T-shirt, a blue T-shirt and a green T-shirt. She has black shorts and grey shorts. By listing the combinations systematically, work out how many different outfits of one T-shirt and one pair of shorts she can make.

13.In a youth club the number of girls is 2/3 of the number of boys. What fraction of the members of the club are girls?

14.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.

15.A water tank holds 80 litres when full. It currently contains 60 litres. Work out what fraction of the tank is empty.