Number worksheet — GCSE Foundation

1.A café is planning its lunch menu. It will offer one soup from 3 choices and one sandwich from 4 choices, but the mushroom soup, one of the 3 soups, will only be served with the cheese sandwich, one of the 4 sandwiches, on a normal day. Work out how many different soup-and-sandwich combinations are available on a normal day.

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

3.Work out 5⁰ + 5¹ + 5²

4.Write 60 as a product of its prime factors, using index notation.

5.A cinema has 21 rows of seats with 29 seats in each row. Work out an estimate for the number of people the cinema can hold, by rounding each number to 1 significant figure.

6.A student works out the exact area of a circle with radius 4 cm by squaring the radius but forgetting to multiply by π. Work out the correct exact area of the circle, in terms of π.

7.Work out the value of ∛125.

8.Write down the symbol that makes this statement true: −9 ___ −4

9.Work out 3π − π, giving your answer as a multiple of π.

10.Work out the value of ∛8.

11.Amelia has 49 boxes of apples with 21 apples in each box. Work out an estimate for the total number of apples, by rounding each number to 1 significant figure.

12.Work out (−3) × 4 + 10

13.A number, x, is truncated (not rounded) to 1 decimal place and the result is 6.2. Write down the error interval for x.

14.Grace drinks 1/3 of a bottle of water in the morning and another 1/3 of the same bottle in the afternoon. Work out what fraction of the bottle she has drunk altogether.

15.Work out 3/4 − 5/12 exactly, giving your answer in its simplest form.