Number worksheet — GCSE Foundation

1.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.

2.Work out 6² − 4².

3.Work out 1 − 1/2 − 1/4 − 1/8 − 1/16. Give your answer as a fraction.

4.Work out ((−3) + 5) × (−4) − (−6) ÷ 2

5.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.

6.Round 6.283 to 1 significant figure.

7.A café sells ice cream in three flavours: vanilla, mango and pistachio. Isla buys a cone with two scoops, using two different flavours, one for the bottom scoop and one for the top scoop. Work out how many different cones she could buy.

8.Simplify 5⁻² × 5⁴, giving your answer as a single power of 5.

9.A semicircle has a diameter of 8 cm. Work out the exact area of the semicircle, in terms of π.

10.Simplify x⁶ ÷ x²

11.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.

12.Amelia eats 5/8 of a bar of chocolate and Oliver eats 3/4 of an identical bar. Write both amounts as eighths and write down the greater of the two fractions.

13.3/5 of the students in a year group walk to school. 90 students walk to school. Work out the total number of students in the year group.

14.In a chess club, 3/8 of the members are girls and the rest are boys. Write down the ratio of girls to boys.

15.Work out the value of ∛8.