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Thread: 5th Grade Math Puzzles.

  1. #1

    Default 5th Grade Math Puzzles.

    Puzzle 1

    My number is less than 30.
    My number of tiles will make a square.
    My number of tiles will make a rectangle 2 tiles wide.
    My number is greater than 5.

    Answer:

    Puzzle 2

    My number of tiles will make a rectangle 3 tiles wide.
    My number of tiles will make a rectangle 4 tiles wide.
    My number is greater than 20.
    My number is less than 30.

    Answer:

    Puzzle 3

    My number of tiles will make a rectangle 4 tiles wide.
    My number of tiles will make a rectangle 2 tiles wide.
    My number of tiles will make a rectangle 5 tiles wide.
    My number is less than 50.

    Answer:

    Puzzle 4

    My number is less than 25.
    My number of tiles will make only one rectangle.
    My number is odd.
    My number is a factor of 36.

    Answer:

    Puzzle 5

    You say my number when you start at 0 and count by 15’s.
    You say my number when you start at 0 and count by 25’s.
    My number is less than 200.
    My number is even.

    Answer:


    Puzzle 6

    My number has three digits.
    My number is less than 300.
    My number is a multiple of 40.
    My number is a multiple of 60.

    Answer:

    Puzzle 7

    My number is a square number.
    My number has two digits.
    My number is a multiple of 9.
    My number is even.

    Answer:

    Puzzle 8

    My number is prime.
    My number is a factor of 42.
    My number is less than 10.
    My number is a factor of 70.

    Answer:

    Puzzle 9

    My number is a factor of 60.
    My number has two digits.
    The sum of the digits in my number is 3.
    One factor of my number is 4.

    Answer:

    Puzzle 10

    My number is not a factor of 20.
    My number is a factor of 42.
    My number is less than 30.
    My number is even.

    Answer:

    Puzzle 11

    My number is a square number.
    My number is even.
    My number is less than 100.
    My number is prime.

    Answer:

    Puzzle 12

    My number is a multiple of 35.
    My number is a multiple of 25.
    My number is a multiple of 2.
    My number is less than 400.

    Answer:

    Puzzle 13

    My number is odd.
    My number has two digits.
    My number is a multiple of 3.
    The sum of the digits in my number is greater than 15.

    Answer:

    My number is less than 200.
    My number is a multiple of 11.
    My number has three digits.
    The sum of the digits in my number is 10.

    Answer:

  2. #2
    Ancient Arachnid Spider's Avatar
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    Default Re: 5th Grade Math Puzzles.

    Puzzle 1

    My number is less than 30.
    My number of tiles will make a square.
    My number of tiles will make a rectangle 2 tiles wide.
    My number is greater than 5.

    Answer: 16

    Puzzle 2

    My number of tiles will make a rectangle 3 tiles wide.
    My number of tiles will make a rectangle 4 tiles wide.
    My number is greater than 20.
    My number is less than 30.

    Answer: 24

    Puzzle 3

    My number of tiles will make a rectangle 4 tiles wide.
    My number of tiles will make a rectangle 2 tiles wide.
    My number of tiles will make a rectangle 5 tiles wide.
    My number is less than 50.

    Answer: 40

    Puzzle 4

    My number is less than 25.
    My number of tiles will make only one rectangle.
    My number is odd.
    My number is a factor of 36.

    Answer: 9 if you count a square as a rectangle, 3 if you count three tiles in a row as a rectangle.

    Puzzle 5

    You say my number when you start at 0 and count by 15’s.
    You say my number when you start at 0 and count by 25’s.
    My number is less than 200.
    My number is even.

    Answer: 150


    Puzzle 6

    My number has three digits.
    My number is less than 300.
    My number is a multiple of 40.
    My number is a multiple of 60.

    Answer: 120

    Puzzle 7

    My number is a square number.
    My number has two digits.
    My number is a multiple of 9.
    My number is even.

    Answer: 36

    Puzzle 8

    My number is prime.
    My number is a factor of 42.
    My number is less than 10.
    My number is a factor of 70.

    Answer: 7

    Puzzle 9

    My number is a factor of 60.
    My number has two digits.
    The sum of the digits in my number is 3.
    One factor of my number is 4.

    Answer: 12

    Puzzle 10

    My number is not a factor of 20.
    My number is a factor of 42.
    My number is less than 30.
    My number is even.

    Answer: 6

    Puzzle 11

    My number is a square number.
    My number is even.
    My number is less than 100.
    My number is prime.

    Answer: impossible. A prime number's only factors are itself and 1. If it is a square, it is either 1 (not even) or the product of a lesser number times itself (not prime). The only even prime number is 2.

    Puzzle 12

    My number is a multiple of 35.
    My number is a multiple of 25.
    My number is a multiple of 2.
    My number is less than 400.

    Answer: 350

    Puzzle 13

    My number is odd.
    My number has two digits.
    My number is a multiple of 3.
    The sum of the digits in my number is greater than 15.

    Answer: 99

    My number is less than 200.
    My number is a multiple of 11.
    My number has three digits.
    The sum of the digits in my number is 10.

    Answer: 154
    Atrophy: what you get when you win atournament.

  3. #3

    Default Re: 5th Grade Math Puzzles.

    Excellent job Spider. Checking her work took me longer than I'm prepared to admit. I actually came up with a couple additional answers, what do you think?

    Puzzle 3
    Answer: 20, 40

    Puzzle 6
    Answer: 120, 240

    Puzzle 8
    Answer: 2, 7

    Puzzle 10
    Answer: 6, 14

    Puzzle 11 made me scramble but I came up with 'no solution' also.

    Again, well done!

  4. #4
    Ancient Arachnid Spider's Avatar
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    Default Re: 5th Grade Math Puzzles.

    Your additional answers are indeed correct. Once I had one answer, I stopped looking (i.e. thinking).
    Atrophy: what you get when you win atournament.

  5. #5
    Mayor of Bringsburg homerdindon's Avatar
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    Scottsdale
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    Default Re: 5th Grade Math Puzzles.

    I would have pwned these but Spider beat me to it.

  6. #6
    Olympic Champ RYou's Avatar
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    Default Re: 5th Grade Math Puzzles.

    Puzzle 1 Answer: 16
    Puzzle 2 Answer: 24
    Puzzle 3 Answer: 40
    Puzzle 4 Answer: 3
    Puzzle 5 Answer: 75
    Puzzle 6 Answer: 240
    Puzzle 7 Answer: 36
    Puzzle 8 Answer: 7
    Puzzle 9 Answer: 12
    Puzzle 10 Answer: 6
    Puzzle 11 Answer: 2
    Puzzle 12 Answer: 350
    Puzzle 13 Answer: 99
    Puzzle 14 Answer: 154

  7. #7

    Default Re: 5th Grade Math Puzzles.

    I would have pwned these but Spider beat me to it.
    Homer, I considered posting that you were ineligible because you'd spoil it for others!

  8. #8

    Default Re: 5th Grade Math Puzzles.

    Quote Originally Posted by RYou View Post
    Puzzle 1 Answer: 16
    Puzzle 2 Answer: 24
    Puzzle 3 Answer: 40
    Puzzle 4 Answer: 3
    Puzzle 5 Answer: 75
    Puzzle 6 Answer: 240
    Puzzle 7 Answer: 36
    Puzzle 8 Answer: 7
    Puzzle 9 Answer: 12
    Puzzle 10 Answer: 6
    Puzzle 11 Answer: 2
    Puzzle 12 Answer: 350
    Puzzle 13 Answer: 99
    Puzzle 14 Answer: 154
    Good job RYou!. I am not sure 2 can be the correct solution to Puzzle 11 because 2 is not a square number, (is it?) The square root of 2 is an irrational number so therefore 2 is not a square (Pythagoras's constant). At least that's my thinking. What is your rationale?
    Last edited by pm01; 08-24-2007 at 11:18 AM.

  9. #9

    Default Re: 5th Grade Math Puzzles.

    Quote Originally Posted by RYou View Post
    Puzzle 1 Answer: 16
    Puzzle 2 Answer: 24
    Puzzle 3 Answer: 40
    Puzzle 4 Answer: 3
    Puzzle 5 Answer: 75
    Puzzle 6 Answer: 240
    Puzzle 7 Answer: 36
    Puzzle 8 Answer: 7
    Puzzle 9 Answer: 12
    Puzzle 10 Answer: 6
    Puzzle 11 Answer: 2
    Puzzle 12 Answer: 350
    Puzzle 13 Answer: 99
    Puzzle 14 Answer: 154
    Puzzle 5

    You say my number when you start at 0 and count by 15?s.
    You say my number when you start at 0 and count by 25?s.
    My number is less than 200.
    My number is even.

    I don't think 75 is an even number!
    I will smash your face into a car windshield and then take your mother, Dorothy Mantooth, out to a nice seafood dinner and never call her again!

    Tell me about it, this morning, I woke up and I shit a squirrel, but what I can't get is the damn thing is still alive. So now, I've got a shit covered squirrel running around my office and I don't know what to name it.

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