Number worksheet — GCSE Foundation

1.Find the missing number: 17 × ▢ = 391

2.Work out 4π + 2π, giving your answer as a multiple of π.

3.Two allotments are combined. Allotment A grows vegetables and flowers in the ratio 3 : 2, and has 20 plots in total. Allotment B grows vegetables and flowers in the ratio 1 : 4, and has 20 plots in total. Work out the fraction of all the plots, in both allotments combined, that grow vegetables.

4.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.

5.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.

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

7.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.

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

9.Work out 3π − π, giving your answer as a multiple of π.

10.Two lighthouses flash at the start of the same minute. The first lighthouse flashes every 8 minutes and the second flashes every 12 minutes. Work out how many minutes it will be until they next flash together.

11.Work out how many factors 36 has.

12.A digital timer truncates every time to 1 decimal place. It shows a swimmer's time for one length as 12.3 seconds. Using t for the swimmer's actual time in seconds, write down the error interval for t.

13.Write the fraction 9/25 as a decimal.

14.A café offers sandwiches with one filling from 5 choices and one type of bread from 4 choices. Cheese and mustard, which is one of the 5 fillings, is not available on gluten-free bread, which is one of the 4 breads. Work out how many different sandwiches are possible.

15.Which statement about the number 51 is correct?