Fair Division

Fair Division

11th - 12th Grade

13 Qs

quiz-placeholder

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Fair Division

Fair Division

Assessment

Quiz

Mathematics

11th - 12th Grade

Practice Problem

Hard

CCSS
7.EE.B.3, 8.EE.C.7B, 7.NS.A.2

+10

Standards-aligned

Created by

Rebecca Reynolds

Used 96+ times

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13 questions

Show all answers

1.

MULTIPLE CHOICE QUESTION

3 mins • 1 pt

Media Image

Three players (Ady, Brenden, and Cara) are sharing a pie. Suppose that the pie is divided into three slices (S1 ,S2 , and S3 ). The following table gives the value of each slice in the eyes of each of the players.


Which of the three slices are fair shares to Ady?

S1

S3

S1, S2

S1, S3

Tags

CCSS.3.NF.A.1

CCSS.3.NF.A.2B

2.

MULTIPLE CHOICE QUESTION

3 mins • 1 pt

Media Image

Angela and Ben want to divide fairly the chocolate-strawberry cake shown below. The total cost of the cake was $6.00. Angela values strawberry three times as much as she values chocolate, while Ben values chocolate twice as much as he values strawberry.


In Angela's eyes, the piece shown below is worth?

$3.75

$4.50

$5.00

$2.25

Tags

CCSS.7.EE.B.3

3.

MULTIPLE CHOICE QUESTION

3 mins • 1 pt

Media Image

Angela and Ben want to divide fairly the chocolate-strawberry cake shown below. The total cost of the cake was $6.00. Angela values strawberry three times as much as she values chocolate, while Ben values chocolate twice as much as he values strawberry.


In Ben's eyes, the piece shown below is worth?

$4.50

$4.00

$5.00

$4.75

Tags

CCSS.7.EE.B.3

4.

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

Media Image

Ned buys a chocolate-strawberry-vanilla cake in Figure (i) for $14.00. He cuts the cake into six 60° wedges as shown in Figure (ii). Ned values strawberry six times as much as chocolate. He does not value vanilla cake at all.


How much does Ned value piece 4?

$2.00

$2.50

$3.50

$3.00

Tags

CCSS.7.EE.B.3

5.

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

Media Image

Ned buys a chocolate-strawberry-vanilla cake in Figure (i) for $14.00. He cuts the cake into six 60° wedges as shown in Figure (ii). Ned values strawberry six times as much as chocolate. He does not value vanilla cake at all.


How much does Ned value piece 3?

$4.00

$6.00

$12.00

$8.00

Tags

CCSS.7.EE.B.3

6.

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

Brenda and Eddy buy a 12-in half ham, half turkey sub sandwich for $4.80. Eddy values ham 3 three as much as turkey.


What is the value of 1-inch of turkey to Eddy?

$0.60

$0.30

$0.20

$0.90

Tags

CCSS.8.EE.C.7B

7.

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

Brenda and Eddy buy a 12-in half ham, half turkey sub sandwich for $4.80. Eddy values ham 3 three as much as turkey.


What is the value of 1 inch of ham to Eddy?

$0.60

$0.30

$0.20

$0.90

Tags

CCSS.8.EE.C.7B

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