Last Diminisher Method Practice
Quiz
•
Mathematics
•
10th - 12th Grade
•
Medium
Standards-aligned
Abigail Pearce
Used 151+ times
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19 questions
Show all answers
1.
MULTIPLE CHOICE QUESTION
3 mins • 1 pt
Question 1-8 will all follow from this problem. A cake is to be divided among seven players (P1, P2, P3, P4, P5, P6, P7) using the last-diminisher method. The players play in a fixed order, with P1 first, P2 second, etc.
In round 1, after P1 makes the first cut, all other players pass.
Which player gets a fair share at the end of round 1?
P1
P3
P4
P6
P7
2.
MULTIPLE CHOICE QUESTION
3 mins • 1 pt
Question 1-8 will all follow from this problem. A cake is to be divided among seven players (P1, P2, P3, P4, P5, P6, P7) using the last-diminisher method. The players play in a fixed order, with P1 first, P2 second, etc.
In round 1, after P1 makes the first cut, all other players pass.
Who makes the first cut in round 2?
P1
P2
P4
P6
P7
3.
MULTIPLE CHOICE QUESTION
3 mins • 1 pt
A cake is to be divided among seven players (P1, P2, P3, P4, P5, P6, P7) using the last-diminisher method. The players play in a fixed order, with P1 first, P2 second, etc.
In round 1, after P1 makes the first cut, all other players pass.
In round two, after the first claim is made, P3, P6, and P7 are the only diminishers.
Who gets a share at the end of round 2?
P2
P3
P5
P6
P7
4.
MULTIPLE CHOICE QUESTION
3 mins • 1 pt
A cake is to be divided among seven players (P1, P2, P3, P4, P5, P6, P7) using the last-diminisher method. The players play in a fixed order, with P1 first, P2 second, etc.
In round 1, after P1 makes the first cut, all other players pass.
In round two, after the first claim is made, P3, P6, and P7 are the only diminishers.
Which player makes the first cut to begin round 3?
P1
P2
P3
P6
P7
5.
MULTIPLE CHOICE QUESTION
3 mins • 1 pt
A cake is to be divided among seven players (P1, P2, P3, P4, P5, P6, P7) using the last-diminisher method. The players play in a fixed order, with P1 first, P2 second, etc.
In round 1, after P1 makes the first cut, all other players pass.
In round two, after the first claim is made, P3, P6, and P7 are the only diminishers.
In round three P5 is the only diminisher.
Who gets a share at the end of round 3?
P2
P3
P4
P5
P6
6.
MULTIPLE CHOICE QUESTION
3 mins • 1 pt
A cake is to be divided among seven players (P1, P2, P3, P4, P5, P6, P7) using the last-diminisher method. The players play in a fixed order, with P1 first, P2 second, etc.
In round 1, after P1 makes the first cut, all other players pass.
In round two, after the first claim is made, P3, P6, and P7 are the only diminishers.
In round three P5 is the only diminisher.
In round 4, after the first claim is made, all the other players pass
Who gets a share at the end of round 4?
P2
P3
P4
P5
P6
7.
MULTIPLE CHOICE QUESTION
3 mins • 1 pt
A cake is to be divided among seven players (P1, P2, P3, P4, P5, P6, P7) using the last-diminisher method. The players play in a fixed order, with P1 first, P2 second, etc.
In round 1, after P1 makes the first cut, all other players pass.
In round two, after the first claim is made, P3, P6, and P7 are the only diminishers.
In round three P5 is the only diminisher.
In round 4, after the first claim is made, all the other players pass
In round 5, after the first claim is made, P3 and P4 are the only diminishers.
Who receives a share at the end of round 5?
P1
P3
P4
P6
P7
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