Number worksheet — GCSE Foundation

1.Work out 2/3 × 3/4 exactly, giving your answer in its simplest form.

2.A quiz has 50 questions. Freya answers 10% of them incorrectly. Work out how many questions she answers incorrectly.

3.A carton of orange juice holds 1.35 litres. Ruby pours the juice equally into 4 identical glasses. Work out how much juice is in each glass, giving your answer as a fraction of a litre in its simplest form.

5.Tickets for a fairground ride are sold in packs of 6. Tokens for the dodgems are sold in packs of 10. Yusuf wants to buy the smallest number of packs of each so that he ends up with the same number of ride tickets as dodgem tokens. Work out how many ride tickets that is.

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

7.Two fair six-sided dice are rolled and their scores are added together. By listing the possible totals systematically, work out how many different totals are possible.

8.Write these fractions in order, starting with the smallest: 2/3, 3/5, 5/6, 1/2

9.Grace works out 7 × 99 by writing 99 as 100 − 1. Use her method to work out 7 × 99.

10.Work out (−2/5) × (−10/3). Give your answer as a fraction in its simplest form.

11.Work out (6 × 10⁷) + (3 × 10⁶). Give your answer in standard form.

12.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?

13.A circle has a diameter of 10 cm. Work out the exact circumference of the circle, in terms of π.

14.A gardener has 42 tulip bulbs and 56 daffodil bulbs. She plants them in rows, with every row containing the same number of tulip bulbs and the same number of daffodil bulbs, and no bulbs left over. Work out the greatest number of rows she can plant.

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