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Mathematics
PUZZLES
K.THIYAGU
Assistant Professor
Department of Education
Central University of Kerala, Kasaragod
CC-BY-SA (Math Puzzles) 1
A puzzle is a game, problem, or toy that tests a person's ingenuity or
knowledge. In a puzzle, the solver is expected to put pieces together in a
logical way, in order to arrive at the correct or fun solution of the puzzle.
CC-BY-SA (Math Puzzles) 2
Puzzle is a problem that test imagination, cleverness and skill of the solver.
Puzzles are often contrived as a form of Entertainment, But they can also
be considered as mathematical or logical problems in most of cases.
CC-BY-SA (Math Puzzles) 3
A mathematical puzzle is related to mathematical facts and
objects, or whose solution needs serious mathematical arguments
or calculations.
CC-BY-SA (Math Puzzles) 4
The wagon must travel a path that is given by a
mathematical function.
CC-BY-SA (Math Puzzles) 5
Maze
Puzzle
CC-BY-SA (Math Puzzles) 6
Maze
Puzzle
CC-BY-SA (Math Puzzles) 7
Crossword
Puzzle
CC-BY-SA (Math Puzzles) 8
CC-BY-SA (Math Puzzles) 9
Balance Puzzle
There are 9 coins, all except
one are the same weight, the
odd one is heavier than the
rest. You must determine which
is the odd one out using an old
fashioned balance. You may
use the balance twice.
Explain how this can be done.
CC-BY-SA (Math Puzzles) 10
Put 1,2 & 3 on the left side and 4,5 &
6 on the right side. There are three
possible outcomes:
• scale tilts left - means the heavy
coin is in group 1,2 & 3
• scale tilts right - means the heavy
coin is in group 4,5 & 6
• scale balances - means the heavy
coin is in group 7,8 & 9
Using one weighing we have successfully
narrowed three groups down to one. If it's
not completely clear how we can make the
assumption that the bad coins is in group 7,8
& 9 when the scales balance, remember we
know there is a bad coin, there has to be, we
have eliminated the other two groups, it must
be in the third.
We need to do the same again and
we will arrive at the final coin. Lets
label the three coins we have
narrowed it down to as A, B & C. Not
strictly necessary but it's easier to
explain. So if we'd narrowed it down
to 4,5 & 6 they would become A,B &
C respectively. Putting A on the left
side, B on the right and C to one
side.
• A goes down - A is the heavy coin
• B goes down - B is the heavy coin
• Neither goes down - C is the heavy
coin
CC-BY-SA (Math Puzzles) 11
Answer
CC-BY-SA (Math Puzzles) 12
We probably known that the expression 2+2 and 2 X 2 are both equal to 4.
Can you find a set of THREE different whole numbers whose sum
and product are equal?
Answer: 1+2+3=6 and 1 x 2 x 3 = 6
CC-BY-SA (Math Puzzles) 13
What is the total number of
triangles in the diagram below?
Answer:
27 Total Triangles
CC-BY-SA (Math Puzzles) 14
What is the total number of Square
in the diagram below?
Answer: 14
CC-BY-SA (Math Puzzles) 15
TEN WAYS TO USE
PUZZLES IN MATH
EDUCATION:
Classroom
Resource
Arts & Crafts
Introduce
Ideas
(warmup)
Illustrate
Strategies
Original
Research
Problem
Posing
Skill Testing
Public Events
Livelier
Homework
Physical
Manipulative
CC-BY-SA (Math Puzzles) 16
Thank You
K.THIYAGU
Assistant Professor
Department of Education
Central University of Kerala, Kasaragod
CC-BY-SA (Math Puzzles) 17

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Mathematics Puzzles

  • 1. Mathematics PUZZLES K.THIYAGU Assistant Professor Department of Education Central University of Kerala, Kasaragod CC-BY-SA (Math Puzzles) 1
  • 2. A puzzle is a game, problem, or toy that tests a person's ingenuity or knowledge. In a puzzle, the solver is expected to put pieces together in a logical way, in order to arrive at the correct or fun solution of the puzzle. CC-BY-SA (Math Puzzles) 2
  • 3. Puzzle is a problem that test imagination, cleverness and skill of the solver. Puzzles are often contrived as a form of Entertainment, But they can also be considered as mathematical or logical problems in most of cases. CC-BY-SA (Math Puzzles) 3
  • 4. A mathematical puzzle is related to mathematical facts and objects, or whose solution needs serious mathematical arguments or calculations. CC-BY-SA (Math Puzzles) 4
  • 5. The wagon must travel a path that is given by a mathematical function. CC-BY-SA (Math Puzzles) 5
  • 10. Balance Puzzle There are 9 coins, all except one are the same weight, the odd one is heavier than the rest. You must determine which is the odd one out using an old fashioned balance. You may use the balance twice. Explain how this can be done. CC-BY-SA (Math Puzzles) 10
  • 11. Put 1,2 & 3 on the left side and 4,5 & 6 on the right side. There are three possible outcomes: • scale tilts left - means the heavy coin is in group 1,2 & 3 • scale tilts right - means the heavy coin is in group 4,5 & 6 • scale balances - means the heavy coin is in group 7,8 & 9 Using one weighing we have successfully narrowed three groups down to one. If it's not completely clear how we can make the assumption that the bad coins is in group 7,8 & 9 when the scales balance, remember we know there is a bad coin, there has to be, we have eliminated the other two groups, it must be in the third. We need to do the same again and we will arrive at the final coin. Lets label the three coins we have narrowed it down to as A, B & C. Not strictly necessary but it's easier to explain. So if we'd narrowed it down to 4,5 & 6 they would become A,B & C respectively. Putting A on the left side, B on the right and C to one side. • A goes down - A is the heavy coin • B goes down - B is the heavy coin • Neither goes down - C is the heavy coin CC-BY-SA (Math Puzzles) 11
  • 13. We probably known that the expression 2+2 and 2 X 2 are both equal to 4. Can you find a set of THREE different whole numbers whose sum and product are equal? Answer: 1+2+3=6 and 1 x 2 x 3 = 6 CC-BY-SA (Math Puzzles) 13
  • 14. What is the total number of triangles in the diagram below? Answer: 27 Total Triangles CC-BY-SA (Math Puzzles) 14
  • 15. What is the total number of Square in the diagram below? Answer: 14 CC-BY-SA (Math Puzzles) 15
  • 16. TEN WAYS TO USE PUZZLES IN MATH EDUCATION: Classroom Resource Arts & Crafts Introduce Ideas (warmup) Illustrate Strategies Original Research Problem Posing Skill Testing Public Events Livelier Homework Physical Manipulative CC-BY-SA (Math Puzzles) 16
  • 17. Thank You K.THIYAGU Assistant Professor Department of Education Central University of Kerala, Kasaragod CC-BY-SA (Math Puzzles) 17