Printable · GCSE Foundation · ages 14-16

Fractions in ratio problems worksheet — GCSE Foundation

Fifteen questions on "fractions in ratio problems" — DfE statement N11. Print it, or print three versions so neighbours cannot copy by letter; the key gives the letter for each version.

Non-calculator

VersionsA only A + B A + B + Csame questions, different order

AnswersQuestions only With answer key Key only

CalculatorMixed Non-calculator (Paper 1)Calculator (Papers 2 and 3)

New sheet

Fractions in ratio problems worksheet — GCSE Foundation

Maths · GCSE Foundation · N11 · Fractions in ratio problems · Non-calculator · 15 questions

MathsUKwww.geekhero.co.uk

1.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.
(a)2/5
(b)3/5
(c)3/10
(d)1/5
2.In a fruit crate the ratio of oranges to lemons is 5 : 6. What fraction of the fruit in the crate are lemons?
(a)6/11
(b)5/6
(c)5/11
(d)6/5
3.At a swimming pool the ratio of adults to children is 3 : 5. Of the children, 2/5 are boys. What fraction of the people at the pool are boys?
(a)1/4
(b)3/5
(c)3/20
(d)2/5
4.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.
(a)2/9
(b)4/9
(c)2/5
(d)4/7
5.In a box of counters the ratio of red counters to blue counters is 4 : 5. What fraction of the counters are blue?
(a)5/4
(b)5/9
(c)4/9
(d)4/5
6.In a classroom the ratio of boys to girls is 3 : 4. What fraction of the class are boys?
(a)3/4
(b)3/7
(c)7/3
(d)4/7
7.A charity raises money from a raffle and a cake sale in the ratio 5 : 3. Altogether the charity raises £320. Work out how much money the cake sale raised.
(a)£40
(b)£192
(c)£200
(d)£120
8.In a fruit basket the ratio of bananas to oranges is 2 : 5. What fraction of the fruit are oranges?
(a)2/7
(b)7/5
(c)5/2
(d)5/7
9.Two bags of mixed nuts are combined. Bag A has peanuts and cashews in the ratio 2 : 3. Bag B has peanuts and cashews in the ratio 1 : 4. Both bags contain the same total number of nuts. Work out the fraction of the combined mixture that is peanuts.
(a)3/5
(b)3/10
(c)1/10
(d)1/5
10.In a choir, 2/9 of the members are boys and the rest are girls. Write down the ratio of girls to boys, in its simplest form.
(a)2:9
(b)7:2
(c)2:7
(d)7:9
11.A choir has sopranos, altos and tenors in the ratio 6 : 4 : 5. What fraction of the choir is not tenors?
(a)2/3
(b)4/9
(c)2/5
(d)1/3
12.In a photo album the ratio of colour photos to black-and-white photos is 9 : 4. Work out the number of black-and-white photos as a fraction of the number of colour photos.
(a)4/9
(b)4/13
(c)9/13
(d)9/4
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.
(a)3/5
(b)3/8
(c)5/3
(d)5/8
14.In a youth club the number of girls is 2/3 of the number of boys. What fraction of the members of the club are girls?
(a)2/3
(b)2/5
(c)1/3
(d)3/5
15.A fruit bowl contains apples, pears and plums in the ratio 3 : 4 : 5. What fraction of the fruit are not plums?
(a)5/12
(b)7/24
(c)7/12
(d)7/5

Build your own mix at the worksheet builder.