Number worksheet — GCSE Foundation

1.A box holds 140 pens. 25% of the pens are red. Work out how many of the pens are red.

2.In a school, 3/5 of the students study French. Of these students, 2/3 also study Spanish. What fraction of all the students study both French and Spanish?

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

4.Write the fraction 47/50 as a decimal.

5.Light travels at 2.998 × 10⁸ metres per second. A distant object in space is 3.1 × 10¹⁵ metres from Earth. Work out an estimate for the number of seconds light takes to travel from the object to Earth, by rounding each number to 1 significant figure.

6.Four friends share a restaurant bill of £53.90 equally. A calculator gives each share as 13.475. Work out how much each friend should pay.

7.Write the fraction 3/4 as a decimal.

8.Write these numbers in order, starting with the largest: −0.6, 0.45, −0.15, 0.5, −0.09

9.A number line runs from 0 to 1 and is divided into 4 equal parts. Which mark on the line represents 1/4?

10.In a class, 1/3 of the pupils are girls. There are 12 girls in the class. Work out how many pupils are in the class.

11.Write these numbers in order, starting with the smallest: 5, −8, 0, −3, 2

12.Using only 20p coins and 10p coins, and at least one of each, work out how many different ways there are to make exactly 60p. List the possibilities systematically.

13.A shortbread recipe uses flour and butter in the ratio 5 : 2. Yuki changes the recipe by doubling the amount of butter but keeping the amount of flour the same. Work out the fraction of the new mixture that is butter.

14.Work out −6 × (−3).

15.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?