Number worksheet — GCSE Foundation

1.A circle has a radius of 3 cm. Which of these is the exact area of the circle?

2.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.

3.Work out √(4 × 9)

4.A pizza is cut into 12 equal slices. Ben eats 5 slices and Mia eats 3 slices. What fraction of the pizza is left, giving your answer in its simplest form?

5.A sponsored walk is 36 km long. Aisha has completed 8/12 of the walk. Work out how far she has walked.

6.Two fair six-sided dice are rolled together. One die is red and the other is blue. Work out how many different outcomes are possible.

7.A photography studio offers 4 backdrops and 3 outfits for a portrait session. The plain grey backdrop, one of the 4 backdrops, cannot be used with the formal suit outfit, one of the 3 outfits. Work out how many different backdrop-and-outfit combinations are possible.

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

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

10.Write 200 as a product of its prime factors, using index notation.

11.Two-digit numbers are made using the digits 1, 2, 3 and 4, and no digit may be used twice in the same number. Work out how many different two-digit numbers can be made.

12.Write 0.25 as a fraction in its simplest form.

13.A cinema has 250 seats. 12% of the seats are reserved. Work out how many of the seats are reserved.

14.Work out 3.7 × 24.

15.Write 5,000,000 in standard form.