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 © 2022

    10 Boxes Riddle

    Hint:
    Let us simplify boxes by naming them from 1 to 10.
    Now the trick here is to pick different number of balls from different boxes. So to simplify things, we will pick balls corresponding to box number.

    Thus, pick 1 ball from Box 1, 2 balls from box 2, 3 balls from box 3 and so on. You will have 55 balls altogether. Now, put them all in the balance.

    If all balls were weighing accurate 10 grams, the total weight of the 55 balls would have been 550 grams. But one of the box must have had the defective balls.

    Suppose if the defective balls were in box number 2, then the total weight will be 2 grams less than 550. If the defective balls were in box 8, the total weight will be less than 8 grams from 550. In this way, you will be able to identify which box has the defective balls.
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    Eating Burgers Riddle

    Hint:
    18

    More hours => more burgers.
    More boys => more burgers.

    The time become twice (3 hours / 1.5 hours).
    Boys become six times (9 / 1.5).

    Number of burgers = 2 * 6 * Original(1.5)
    = 18
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    Bigger Upside Down Riddle

    Hint:
    A 6!
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    Adding Eights Riddle

    Hint:
    888 + 88 + 8 + 8 + 8 = 1000.
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    Green And Red Apple Trees Riddle

    Hint:
    The total was 40 Red apples and 32 Green apples.
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    Saving Money Riddle

    Hint:
    They would have saved $$4,095.
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    Guilders Expense Riddle

    Hint:
    Ten guilders. An artist cost 7 guilders, and a stonemason cost 3 guilders.
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    Shotgun Pete Riddle

    Hint:
    Pete owned 12 guns.
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    Hint:
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    Add Up To 100 Riddle

    Hint:
    1+2+3+4+5+6+7+(8x9)=100
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    How Many Spaces Riddle

    Hint:
    64; the space that comes after the 64th spoke, would be the first spoke.
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    The Bus Stop Riddle

    Hint:
    Ne, the bus driver.

    On the 1st stop, 5 people get on. On the 2nd stop, 5 people get off and 10 (twice as many as at 1st stop) people get on. On the 3rd stop, 10 people get off. So there are (5 5 + 10 10) 0 passengers left, which leaves the bus driver as the only person on board the bus.
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    Three Rivers Riddle

    Hint:
    This problem has an infinite number of solutions modeled by the equation 8a=7n, where a is the amount of flowers the man starts with and n is the number of flowers he leaves at each grave. The simplest and possibly trivial solution would be to start with 0 flowers and leave 0 flowers at each grave. A more significant solution would be to start with 7 flowers and leave 8 at each grave. Any positive integer multiple of this solution also satisfies the conditions. For example, the man starts with 14 flowers and leaves 16 at each grave; so, 14 doubles to 28, and 28-16= 12; 12 doubles to 24, and 24-16= 8; 8 doubles to 16, and 16-16= 0. The result is the same if the man starts with 21 flowers and leaves 24 flowers at each grave, or starts with 28 and leaves 32.
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    Farmer Stones Riddle

    Hint:
    The stones weight 1 pound, 3 pounds, 9 pounds and 27 pounds. These can be used in combination with each other on both sides of the scale to come up with any counterweight from 1 to 40 pounds.
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    A Farmers Sheep Riddle

    Hint:
    9
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