Number worksheet — GCSE Foundation

1.A window display has red baubles, gold baubles and green baubles in the ratio 4 : 5 : 6. What fraction of the baubles are not green?

2.Write down the symbol that makes this statement true: 0.45 ___ 0.5

3.Simplify (y³)⁴, giving your answer as a single power of y.

4.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.

5.Write down the value of 3⁰

6.Work out 2/5 + 1/4, giving your answer in its simplest form.

7.Work out √(4 × 9)

8.Which of these is equal to 5³?

9.In a music collection, the ratio of pop albums to rock albums is 5 : 3. Work out the number of rock albums as a fraction of the number of pop albums.

10.A car manufacturer offers a car in 6 colours and 4 trim levels. Two colour-and-trim combinations are not available: red with sport trim, and white with sport trim. Work out how many different colour-and-trim combinations are available.

11.Which of these numbers is a common factor of 18 and 24?

12.Two-digit numbers are formed using the digits 2, 5, 7 and 8, and each digit may be used only once in a number. Work out how many of these two-digit numbers are even.

13.A recipe uses 160 g of flour. Sam wants to increase the amount by 1/4. Work out the new amount of flour.

14.A pack contains 20 stickers. Noah gives 1/5 of the pack to his sister. Work out how many stickers he gives away.

15.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.