Number worksheet — GCSE Foundation

1.Which of these decimals lies between 1/4 and 2/5?

2.A train leaves Leeds at 14:35. The journey takes 1 hour 50 minutes. Work out the time the train arrives. Give your answer using the 24-hour clock.

3.In the number 3.472, work out the value of the digit 7.

4.In a box of chocolates 5/8 are milk chocolates and the rest are dark chocolates. Work out the number of dark chocolates as a fraction of the number of milk chocolates.

5.The distance from the Earth to the Moon is 384,000 km. Write this distance in standard form, in kilometres.

6.A number is divided by 5, then 6 is subtracted, giving the result −1. Work out the number.

7.A machine fills bags of sugar and shows the mass of each bag to the nearest 10 g. A checker rejects any bag whose actual mass is less than 996 g. One bag shows a mass of 1,000 g on the machine. Decide whether this bag could be rejected, and give a reason for your answer.

8.In a fruit basket the ratio of bananas to oranges is 2 : 5. What fraction of the fruit are oranges?

9.A grain of fine sand has a mass of 0.001 grams. Write this mass in standard form.

10.A café buys 18 boxes of teabags at £3.45 each, and sells all the teabags for £108 in total. Work out the café's profit.

11.Work out 3³ + 2⁴.

12.n is a whole number and 2 ≤ n < 6. Write down all the possible values of n.

13.In a music collection, the ratio of pop albums to rock albums is 5 : 3. Work out the number of rock albums as a fraction of the number of pop albums.

14.Work out 3/7 × 14/9. Give your answer as a fraction in its simplest form.

15.Simplify x⁷ × x⁴, giving your answer as a single power of x.