MATH BRAIN TEASERS

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Fun Facts (Hints)

Mathematics has an extensive history in just about every culture or civilized society known to man. Listed below are some cool facts to get those math juices flowing:
  • In 1852 mathematician JJ Sylvester established the "theory of algebraic invariants."
  • In 1995 math great Andrew Wiles, proved "Fermat's Last Theorem."
  • The first decimal number system is said to have been invented in Ancient Egypt around 5000BC.
  • The Ancient Mayan civilization located in Central America is one of the only cultures in the recorded history of the world to use a place-value number system.
  • The American Mathematical Society was formed in the late months of 1888 in New York.
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    Math Brain Teasers
    Math brain teasers are awesome math questions and problems given to entertain us while at the same time giving us an education. Cognitive skills are vital to performing well in almost every activity that we participate in daily, especially in the math field.

    This collection compiled by our staff on a regular basis will provide you with a great way to workout that math brain power, and will hopefully benefit you in your studies.

    This is an awesome collection for anyone ages 5 and up, and contains a comprehensive set of riddles related to math for a wide range of audiences.

    How many of these convoluted math riddles do you think that you can solve? Try out our collection, and be sure to come back regularly to solve our newly added math brain teasers.

    Prince Age Riddle

    Hint:
    Current Future Past

    Princess x 2z (x+y)/2
    Prince y x z

    I then created three equations, since the difference in their age will always be the same.

    d = the difference in ages

    x y = d
    2z x = d
    x/2 + y/2 z = d

    I then created a matrix and solved it using row reduction.

    x y z

    1 -1 0 d
    -1 0 2 d
    .5 .5 -1 d

    It reduced to:

    x y z

    1 0 0 4d
    0 1 0 3d
    0 0 1 5d/2

    This means that you can pick any difference you want (an even one presumably because you want integer ages).

    Princess age: 4d
    Prince age: 3d

    Ages that work

    Princess:
    4
    8
    16
    24
    32
    40
    48
    56
    64
    72
    80

    Prince:
    3
    6
    12
    18
    24
    30
    36
    42
    48
    54
    60
    Did you answer this riddle correctly?
    YES  NO  

    2 4 12 48 240 Riddle

    Hint:
    240. To get the number, multiply the previous number in the series by its position. 48 is in the 5th position, so 48 � 5 = 240
    Did you answer this riddle correctly?
    YES  NO  

    Missing Dollar Riddle

    Hint: Make a list of all of the people involved and how much money they ended up with/spent.
    The $9 paid by each guest accounts for the $2 that went to the bellhop. So rather than adding $27 to the $2 kept by the bellhop, the $27 accounts for the bellhops money. The $27 plus the $3 kept by the guests does add up to $30.
    Did you answer this riddle correctly?
    YES  NO  

    Carton Of Eggs Riddle

    Hint:
    5 eggs are taken by the first 5 people, then the 6th person takes the egg , while its still in the carton!!
    Did you answer this riddle correctly?
    YES  NO  

    Finding The Value Riddle

    Hint:
    Horse = 10
    Cowboy-Boot = 1
    HorseShoe= 2
    The Last equation = 21

    Detailed Explanation :
    Equation1:
    3Horse = 30
    => Horse = 10 .....(1)

    Equation2:
    1Horse + 2HorseShoe + 2HorseShoe = 18
    10 + 4HorseShoe =18
    HorseShoe = 2 .....(3)

    Equation3:
    2HorseShoe - 2Cowboy-Boot = 2
    4 - 2Cowboy-Boot = 2
    => Cowboy-Boot = 1 ... (2)

    Equation4:
    Cowboy-Boot+Horse*HorseShoe = 1+10*2
    =>21
    Did you answer this riddle correctly?
    YES  NO  

    Joe's 10 Coins Riddle

    Hint:
    A half-dollar, a quarter, four dimes, and four pennies.
    Did you answer this riddle correctly?
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    Bat And Ball Riddle

    Hint: The answer isn't 10 cents.
    Here's the solution:

    Although $1.00 + $0.10 does equal $1.10, if you take $1.00 $0.10 you get $0.90, but the problem requires that the bat costs $1 more than the ball.

    So, the ball must cost $0.05, and the bat must cost $1.05 since $1.05 + $0.05 = $1.10

    ---

    Still not convinced? You can use algebra to solve the problem:

    First, lets set up the equation:

    x + ($1.00 + x) = $1.10

    $1.00 + 2x = $1.10

    2x = $1.10 $1.00

    2x = $0.101

    Finally, solve for x:

    x = $0.05

    Check your work:

    x + ($1.00 + x) = $1.10, so

    $0.05 + ($1.00 + $0.05) = $1.10
    Did you answer this riddle correctly?
    YES  NO  

    At The Hardware Store Riddle

    Hint:
    Prices quoted were for house numbers at 12 cents per number. A number'6' cost me 12 cents.
    Did you answer this riddle correctly?
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    Magic Word Riddle

    Hint: Count the letters. The number of letters in each individual word make up an important number.
    Pi (number of letters in each word of the riddle)
    3,1 4 1 5 9
    2 6 5 3 5 8
    9 7 9
    3 2 3 8 4 6
    Did you answer this riddle correctly?
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    Combination Value Riddle

    Hint:
    A = 1
    B = 7
    C = 4
    D = 16
    E = 14
    F = 5
    G = 9
    H = 21
    Did you answer this riddle correctly?
    YES  NO  

    Post Your Math Brain Teasers Below

    Can you come up with a cool, funny or clever Math Brain Teasers of your own? Post it below (without the answer) to see if you can stump our users.
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