Grade 8 · Math

Read a conditional fraction in a two-way table

Choose the correct subgroup denominator when interpreting a two-way table.

6 authored questions + worked example

Worked example

A two-way table records travel and hats. Walk: 18 with a hat, 12 without a hat. Bus: 8 with a hat, 12 without a hat.

Among the students who walk, what fraction wear a hat?

Answer & why

Answer:

The condition selects walkers only: 30 students. Of them, 18 wear hats, so the fraction is = 3/5.

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All questions

All 6 authored questions for this skill.

Question 1

A two-way table records travel and hats. Walk: 9 with a hat, 6 without a hat. Bus: 3 with a hat, 12 without a hat.

Among the students who walk, what fraction wear a hat?

A hint

Restrict the denominator to the group after “among”; do not use the whole table.

Answer & why

Answer:

The condition selects walkers only: 15 students. Of them, 9 wear hats, so the fraction is = 3/5.

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Question 2

A two-way table records travel and hats. Walk: 14 with a hat, 6 without a hat. Bus: 10 with a hat, 10 without a hat.

Among the students who walk, what fraction wear a hat?

A hint

Restrict the denominator to the group after “among”; do not use the whole table.

Answer & why

Answer:

The condition selects walkers only: 20 students. Of them, 14 wear hats, so the fraction is = 7/10.

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Question 3

A two-way table records travel and hats. Walk: 8 with a hat, 12 without a hat. Bus: 4 with a hat, 16 without a hat.

Among the students who walk, what fraction wear a hat?

A hint

Restrict the denominator to the group after “among”; do not use the whole table.

Answer & why

Answer:

The condition selects walkers only: 20 students. Of them, 8 wear hats, so the fraction is = 2/5.

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Question 4

A two-way table records travel and hats. Walk: 15 with a hat, 10 without a hat. Bus: 5 with a hat, 20 without a hat.

Among the students who walk, what fraction wear a hat?

A hint

Restrict the denominator to the group after “among”; do not use the whole table.

Answer & why

Answer:

The condition selects walkers only: 25 students. Of them, 15 wear hats, so the fraction is = 3/5.

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Question 5

A two-way table records travel and hats. Walk: 18 with a hat, 12 without a hat. Bus: 8 with a hat, 12 without a hat.

Among the students who walk, what fraction wear a hat?

A hint

Restrict the denominator to the group after “among”; do not use the whole table.

Answer & why

Answer:

The condition selects walkers only: 30 students. Of them, 18 wear hats, so the fraction is = 3/5.

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Question 6

A two-way table records travel and hats. Walk: 12 with a hat, 8 without a hat. Bus: 6 with a hat, 14 without a hat.

Among the students who walk, what fraction wear a hat?

A hint

Restrict the denominator to the group after “among”; do not use the whole table.

Answer & why

Answer:

The condition selects walkers only: 20 students. Of them, 12 wear hats, so the fraction is = 3/5.

Add to plan