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.On a number line, point A is at −1. Point B is 4 units from point A. Write down the two possible positions of point B.

3.An allotment plot is divided into vegetables and flowers in the ratio 9 : 4. A third of the vegetable section is used for potatoes. What fraction of the whole plot is potatoes?

4.Work out −4.5 + 2.8.

5.Work out (−36) ÷ (−6) × 2

6.A space probe is 7.5 × 10⁸ km from Earth. Write this distance as an ordinary number.

7.£60 is shared between Amir, Bo and Chen in the ratio 1:2:3. Work out the fraction of the £60 that Amir and Bo receive together.

8.Which of these numbers rounds to 0.048 when rounded to 2 significant figures?

9.A crowd of 8,400 people is recorded correct to the nearest 100. Work out the smallest possible number of people in the crowd.

10.A garden has flowers, herbs and vegetables in the ratio 2 : 3 : 4. What fraction of the garden is not vegetables?

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

12.Write 0.45 as a fraction in its simplest form.

13.Work out (3 × 10²) × (2 × 10⁵). Give your answer in standard form.

14.A supermarket sells apples at £1.85 per kg. Anna buys 3.6 kg of apples. Estimate the cost by rounding each number to 1 significant figure before multiplying. Work out Anna's estimate.

15.Simplify x⁵ × x³ ÷ x², giving your answer as a single power of x.