Last Diminisher Method Practice

Question 1-8 will all follow from this problem. A cake is to be divided among seven players (P₁, P₂, P₃, P₄, P_5, 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

Question 1-8 will all follow from this problem. A cake is to be divided among seven players (P₁, P₂, P₃, P₄, P_5, 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

A cake is to be divided among seven players (P₁, P₂, P₃, P₄, P_5, 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

A cake is to be divided among seven players (P₁, P₂, P₃, P₄, P_5, 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

A cake is to be divided among seven players (P₁, P₂, P₃, P₄, P_5, 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

A cake is to be divided among seven players (P₁, P₂, P₃, P₄, P_5, 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

A cake is to be divided among seven players (P₁, P₂, P₃, P₄, P_5, 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

A cake is to be divided among seven players (P₁, P₂, P₃, P₄, P_5, 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 is the divider in the final round?

• P₂

• P₃

• P₄

• P₅

• P₆

Questions 9 - 13 will follow from this problem. A cake is to be divided among five players (P₁, P₂, P₃, P₄, and P₅) using the last-diminisher method. The players play in a fixed order, with P₁ first, P₂ second, etc. In round 1, P₁ cuts a piece, and P₂ and P₄ are the only diminishers. Who receives a share at the end of round 1?

• P₁

• P₂

• P₃

• P₄

• P₅

Questions 9 - 13 will follow from this problem. A cake is to be divided among five players (P₁, P₂, P₃, P₄, and P₅) using the last-diminisher method. The players play in a fixed order, with P₁ first, P₂ second, etc. In round 1, P₁ cuts a piece, and P₂ and P₄ are the only diminishers.

Which player cuts the cake at the beginning of round 2?

• P₁

• P₂

• P₃

• P₄

• P₅