Two Way Tables
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Either paper 3 marks
Every member of a sports club plays either tennis or squash. The two-way table shows information about the members.
Tennis Squash Total Men 14 15 29 Women 18 35 Total 32 32 64 (a)Find the number of women who play squash.
(b)One of the members is chosen at random.
Find the probability that the member is a man who plays tennis.
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Either paper 5 marks
Every student in Year 9 and Year 10 at a school chose either French or Spanish. The two-way table shows some information about their choices.
French Spanish Total Year 9 7 22 Year 10 7 Total 18 40 (a)Complete the two-way table.
(b)One of these students is chosen at random.
Find the probability that the student is in Year 10 and chose French.
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Either paper 4 marks
Everyone at a leisure centre one morning did exactly one activity. The two-way table shows what they did.
Swimming Gym Tennis Total Adults 11 12 11 34 Children 10 8 13 31 Total 21 20 24 65 (a)One of these people is chosen at random.
Find the probability that the person went swimming.
(b)Find the probability that the person is a child who played tennis.
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Either paper 3 marksTomas sells bicycles. The table shows the number of bicycles Tomas sold in each quarter of three years.
Quarter 1 Quarter 2 Quarter 3 Quarter 4 2015 14 59 24 54 2016 13 22 59 54 2017 80 22 26 20 (a)In which year did Tomas sell the most bicycles?
You must show your working.
(b)Tomas adds up the sales for each quarter over all three years, and uses these totals to decide how many bicycles to stock.
At the start of which quarter should Tomas stock the most bicycles?
Circle your answer.
Quarter 1 Quarter 2 Quarter 3 Quarter 4
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Either paper 4 marks
Each student in Year 10 and Year 11 chose either history or geography. The two-way table shows their choices.
History Geography Total Year 10 18 17 35 Year 11 15 13 28 Total 33 30 63 (a)One of the students who chose history is chosen at random.
Find the probability that this student is in Year 10.
(b)One of the Year 11 students is chosen at random.
Find the probability that this student chose geography.
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Either paper 4 marks
A group of Year 10 and Year 11 students chose an activity.
There were \(75\) students altogether.
\(32\) of them were Year 10 students.
\(40\) of them chose rowing.
\(17\) of the Year 10 students chose rowing.
(a)Work out how many of the Year 11 students chose climbing.
(b)One of the students is chosen at random.
Find the probability that this student chose rowing.
Give your answer as a fraction in its simplest form.
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Either paper 4 marks
108 people were each asked to choose their favourite type of book.
Each of them chose romance, adventure, horror or thriller.
48 of these people were children. The rest were adults.
14 of the 24 people who chose thriller were adults.
16 of the 27 people who chose romance were children.
10 children chose horror.
The number of children who chose adventure was the same as the number of adults who chose horror.
Work out the number of adults who chose adventure.
You must show how you get your answer.
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Either paper 3 marks
Every member of a sports club plays either tennis or squash. The two-way table shows information about the members.
Tennis Squash Total Men 20 7 27 Women 15 28 Total 35 20 55 (a)Calculate the number of women who play squash.
(b)One of the members is chosen at random.
Calculate the probability that the member is a man who plays tennis.
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Either paper 5 marks
Every student in Year 9 and Year 10 at a school chose either French or Spanish. The two-way table shows some information about their choices.
French Spanish Total Year 9 10 25 Year 10 12 Total 19 46 (a)Complete the two-way table.
(b)One of these students is chosen at random.
Find the probability that the student is in Year 10 and chose French.
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Either paper 4 marks
Everyone at a leisure centre one morning did exactly one activity. The two-way table shows what they did.
Swimming Gym Tennis Total Adults 12 8 12 32 Children 12 7 7 26 Total 24 15 19 58 (a)One of these people is chosen at random.
Work out the probability that the person went swimming.
(b)Work out the probability that the person is a child who played tennis.
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(a) \(17\)
(b) \(\frac{7}{32}\) -
(a) Year 9 Spanish 15, Year 10 French 11, Year 10 total 18, Spanish total 22
(b) \(\frac{11}{40}\) -
(a) \(\frac{21}{65}\)
(b) \(\frac{1}{5}\) -
(a) 2015: 2015 sold 151, 2016 sold 148, 2017 sold 148
(b) Quarter 4: its three years total 128, more than the other quarters -
(a) \(\frac{6}{11}\)
(b) \(\frac{13}{28}\) -
(a) \(20\)
(b) \(\frac{8}{15}\) - \(23\)
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(a) \(13\)
(b) \(\frac{4}{11}\) -
(a) Year 9 Spanish 15, Year 10 French 9, Year 10 total 21, Spanish total 27
(b) \(\frac{9}{46}\) -
(a) \(\frac{12}{29}\)
(b) \(\frac{7}{58}\)
Takes a couple of seconds the first time a sheet is made.