Blanche, Dorothy, Rose and Sophia are dividing a cheesecake that had previously been divided into four slices. The table above shows the values of the slices in the eyes of each player. Which divisions listed below are possible fair divisions of the cheesecake?

Blanche gets S 2 , Dorothy gets S 1 , Rose gets S 3 , Sophia gets S 4

Blanche gets S 3 , Dorothy gets S 1 , Rose gets S 2 , Sophia gets S 4

Blanche gets S 1 , Dorothy gets S 4 , Rose gets S 2 , Sophia gets S 3

Blanche gets S 3 , Dorothy gets S 2 , Rose gets S 4 , Sophia gets S 1

Fair Division Games

Authored by Abigail Pearce

Mathematics

10th - 12th Grade

CCSS covered

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13 questions

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MULTIPLE SELECT QUESTION

5 mins • 1 pt

Which of the following items are discrete items? Choose all that apply.

pizza

house

watch

children

cake

MULTIPLE SELECT QUESTION

2 mins • 1 pt

Which of the following items are continuous items? Choose all that apply.

land

money

diamond ring

dog

pecan pie

MULTIPLE SELECT QUESTION

5 mins • 1 pt

Alice, Bob and Carlos are dividing among themselves the family farm. The property is divided into three shares and the table above shows the values of the shares to each player.
Which of the shares are fair shares to Alice? Choose all that apply.

S₁

S₂

S₃

Tags

CCSS.6.RP.A.3C

MULTIPLE SELECT QUESTION

5 mins • 1 pt

Alice, Bob and Carlos are dividing among themselves the family farm. The property is divided into three shares and the table above shows the values of the shares to each player.
Which of the shares are fair shares to Bob? Choose all that apply.

S₁

S₂

S₃

MULTIPLE SELECT QUESTION

5 mins • 1 pt

Alice, Bob and Carlos are dividing among themselves the family farm. The property is divided into three shares and the table above shows the values of the shares to each player.
Which of the shares are fair shares to Carlos? Choose all that apply.

S₁

S₂

S₃

Tags

CCSS.6.RP.A.3C

MULTIPLE SELECT QUESTION

5 mins • 1 pt

Alice, Bob and Carlos are dividing among themselves the family farm. The property is divided into three shares and the table above shows the values of the shares to each player.
Find all possible fair divisions for this problem.

Alice gets S₁, Bob gets S₃, Carlos gets S₂

Alice gets S₃, Bob gets S₁, Carlos gets S₂

Alice gets S₁, Bob gets S₂, Carlos gets S₃

Alice gets S₃, Bob gets S₂, Carlos gets S₁

Tags

CCSS.6.RP.A.3B

MULTIPLE SELECT QUESTION

5 mins • 1 pt

Alice, Bob and Carlos are dividing among themselves the family farm. The property is divided into three shares and the table above shows the values of the shares to each player.
Which fair division is the best?

Alice gets S₁, Bob gets S₃, Carlos gets S₂

Alice gets S₃, Bob gets S₁, Carlos gets S₂

Alice gets S₁, Bob gets S₂, Carlos gets S₃

Alice gets S₃, Bob gets S₂, Carlos gets S₁

Tags

CCSS.6.RP.A.3C

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Fair Division Games

Which of the following items are discrete items? Choose all that apply.

Which of the following items are continuous items? Choose all that apply.

Alice, Bob and Carlos are dividing among themselves the family farm. The property is divided into three shares and the table above shows the values of the shares to each player.
Which of the shares are fair shares to Alice? Choose all that apply.

Alice, Bob and Carlos are dividing among themselves the family farm. The property is divided into three shares and the table above shows the values of the shares to each player.
Which of the shares are fair shares to Bob? Choose all that apply.

Alice, Bob and Carlos are dividing among themselves the family farm. The property is divided into three shares and the table above shows the values of the shares to each player.
Which of the shares are fair shares to Carlos? Choose all that apply.

Alice, Bob and Carlos are dividing among themselves the family farm. The property is divided into three shares and the table above shows the values of the shares to each player.
Find all possible fair divisions for this problem.

Alice, Bob and Carlos are dividing among themselves the family farm. The property is divided into three shares and the table above shows the values of the shares to each player.
Which fair division is the best?

Blanche, Dorothy, Rose and Sophia are dividing a cheesecake that had previously been divided into four slices.
Since there are four players in this problem, what is the minimum value of a fair share? Please give your answer in the form of a percent.

Blanche, Dorothy, Rose and Sophia are dividing a cheesecake that had previously been divided into four slices. The table above shows the values of the slices in the eyes of each player.
Which of the slices are fair shares to Blanche? Choose all that apply.

Blanche, Dorothy, Rose and Sophia are dividing a cheesecake that had previously been divided into four slices. The table above shows the values of the slices in the eyes of each player.
Which of the slices are fair shares to Dorothy? Choose all that apply.

Access all questions and much more by creating a free account

Similar Resources on Wayground

Popular Resources on Wayground

Discover more resources for Mathematics

Fair Division Games

Which of the following items are discrete items? Choose all that apply.

Which of the following items are continuous items? Choose all that apply.

Alice, Bob and Carlos are dividing among themselves the family farm. The property is divided into three shares and the table above shows the values of the shares to each player.Which of the shares are fair shares to Alice? Choose all that apply.

Alice, Bob and Carlos are dividing among themselves the family farm. The property is divided into three shares and the table above shows the values of the shares to each player.Which of the shares are fair shares to Bob? Choose all that apply.

Alice, Bob and Carlos are dividing among themselves the family farm. The property is divided into three shares and the table above shows the values of the shares to each player.Which of the shares are fair shares to Carlos? Choose all that apply.

Alice, Bob and Carlos are dividing among themselves the family farm. The property is divided into three shares and the table above shows the values of the shares to each player.Find all possible fair divisions for this problem.

Alice, Bob and Carlos are dividing among themselves the family farm. The property is divided into three shares and the table above shows the values of the shares to each player.Which fair division is the best?

Blanche, Dorothy, Rose and Sophia are dividing a cheesecake that had previously been divided into four slices.Since there are four players in this problem, what is the minimum value of a fair share? Please give your answer in the form of a percent.

Blanche, Dorothy, Rose and Sophia are dividing a cheesecake that had previously been divided into four slices. The table above shows the values of the slices in the eyes of each player.Which of the slices are fair shares to Blanche? Choose all that apply.

Blanche, Dorothy, Rose and Sophia are dividing a cheesecake that had previously been divided into four slices. The table above shows the values of the slices in the eyes of each player.Which of the slices are fair shares to Dorothy? Choose all that apply.

Access all questions and much more by creating a free account

Similar Resources on Wayground

Popular Resources on Wayground

Discover more resources for Mathematics

Alice, Bob and Carlos are dividing among themselves the family farm. The property is divided into three shares and the table above shows the values of the shares to each player.
Which of the shares are fair shares to Alice? Choose all that apply.

Alice, Bob and Carlos are dividing among themselves the family farm. The property is divided into three shares and the table above shows the values of the shares to each player.
Which of the shares are fair shares to Bob? Choose all that apply.

Alice, Bob and Carlos are dividing among themselves the family farm. The property is divided into three shares and the table above shows the values of the shares to each player.
Which of the shares are fair shares to Carlos? Choose all that apply.

Alice, Bob and Carlos are dividing among themselves the family farm. The property is divided into three shares and the table above shows the values of the shares to each player.
Find all possible fair divisions for this problem.

Alice, Bob and Carlos are dividing among themselves the family farm. The property is divided into three shares and the table above shows the values of the shares to each player.
Which fair division is the best?

Blanche, Dorothy, Rose and Sophia are dividing a cheesecake that had previously been divided into four slices.
Since there are four players in this problem, what is the minimum value of a fair share? Please give your answer in the form of a percent.

Blanche, Dorothy, Rose and Sophia are dividing a cheesecake that had previously been divided into four slices. The table above shows the values of the slices in the eyes of each player.
Which of the slices are fair shares to Blanche? Choose all that apply.

Blanche, Dorothy, Rose and Sophia are dividing a cheesecake that had previously been divided into four slices. The table above shows the values of the slices in the eyes of each player.
Which of the slices are fair shares to Dorothy? Choose all that apply.