Illuminations: Even and Odd

Illuminations: Even and Odd

Even and Odd

Number 8 checkers and pile them up as shown. Use a minimum of moves to shift checkers 1, 3, 5, and 7 from the center to the “Odd” side circles and checkers 2, 4, 6, and 8 to the “even” side circles. To move, shift the top checker from one pile to the top of another. It is against the rules to put a checker with a  higher number on a checker with a lower one, or to place an odd-numbered check on an even0numbered checker or vice versa.

Thus, you can put checker 1 on 3, 3 on 7, or 2 on 6 – not 3 on 1 or 1 on 2.

Puzzle provided by Kordemsky: The Moscow Puzzles (Dover)


National Council of Teachers of Mathematics
Math Topics
Deductive Reasoning & Logical Thinking, Types of Numbers (Odd, Even, Prime, Composite)
K-6, Middle School, High School
5th Grade, 6th Grade, 7th Grade, 8th Grade, 9th Grade, 10th Grade, 11th Grade, 12th Grade
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National Council of Teachers of Mathematics

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Resource k12

Illuminations: Even and Odd

Even and Odd

Number 8 checkers and pile them up as shown. Use a minimum of moves to shift checkers 1, 3, 5, and 7 from the center to the “Odd” side circles and checkers 2, 4, 6, and 8 to the “even” side circles. To move, shift the top checker from one pile to the top of another. It is against the rules to put a checker with a  higher number on a checker with a lower one, or to place an odd-numbered check on an even0numbered checker or vice versa.

Thus, you can put checker 1 on 3, 3 on 7, or 2 on 6 – not 3 on 1 or 1 on 2.

Puzzle provided by Kordemsky: The Moscow Puzzles (Dover)

National Council of Teachers of Mathematics
Math Topics
Deductive Reasoning & Logical Thinking, Types of Numbers (Odd, Even, Prime, Composite)
K-6, Middle School, High School
5th Grade, 6th Grade, 7th Grade, 8th Grade, 9th Grade, 10th Grade, 11th Grade, 12th Grade
Descriptions of PDFs

Problem and solution

What are you looking for?

Organization

National Council of Teachers of Mathematics

Website URL

Type of Resource

Activity Sheet
PDF File

Assigned Categories