MATH BRAIN TEASERS

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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    Riddles and Answers © 2019

    Age Of Three Daughters Riddles

    Hint:
    3, 3, and 8. The only groups of 3 factors of 72 to have non-unique sums are 2 6 6 and 3 3 8 (with a sum of 14). The rest have unique sums:

    2 + 2 + 18 = 22
    2 + 3 + 12 = 18
    2 + 4 + 9 = 15
    3 + 4 + 6 = 13

    The house number alone would have identified any of these groups. Since more information was required, we know the sum left the answer unknown. The presence of a single oldest child eliminates 2 6 6, leaving 3 3 8 as the only possible answer.
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    Bus Driver Riddle

    Hint:
    You are.
    Did you answer this riddle correctly?
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    Pearl Problems Riddle

    Hint: If you took out 2 pearls, you would have about a 50% chance of getting 2 gold bars. However, you can take even more pearls and still retain the 50% chance.
    Take out 5000 pearls. If the remaining pearl is white, then you've won 5000 gold bars!
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    Coconut Toll Booth Riddle

    Hint:
    1 10
    2 10
    3 9
    4 9
    5 9
    6 8
    7 8
    8 7
    9 7
    10 7

    200-84 = 116
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    Going To The Picnic

    Hint:
    2 people.

    It is stated clearly that Mr. and Mrs. Smith went for a picnic. It does not say that the others accompanied them.
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    The Weight Of A Melon Riddle

    Hint: We are to determine X the total mass of melon after the drying. The Dry weight, DW is 1lb both before and after the drying. The New Water weight, WNW is clearly X - DW or X - 1
    50 lbs.
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    A Lady Steals $100

    Hint:
    The best answer from the choices is the owner lost $100. The $100 bill that was stolen was then given back to the owner. What the owner loses is the $70 worth of goods and the $30 in change, which makes for a total of $70 + $30 = $100. The owner has lost $100.

    Technically, the owner lost $30 plus the value, V, of the $70 of goods. Since stores typically sell goods at a markup, the value may be less than $70. But in the case of a loss leader, the owner may have lost more than $70.
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    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
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    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
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    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.
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