### 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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## Missing Dollar Riddle

Three guests check into a hotel room. The clerk says the bill is $30, so each guest pays $10. Later the clerk realizes the bill should only be $25. To rectify this, he gives the bellhop $5 to return to the guests. On the way to the room, the bellhop realizes that he cannot divide the money equally. As the guests didn't know the total of the revised bill, the bellhop decides to just give each guest $1 and keep $2 for himself. Each guest got $1 back: so now each guest only paid $9; bringing the total paid to $27. The bellhop has $2. And $27 + $2 = $29 so, if the guests originally handed over $30, what happened to the remaining $1?

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.

YES NO

*Did you answer this riddle correctly?*YES NO

## Carton Of Eggs Riddle

There is a carton of 6 eggs on a table and there are 6 people round the table. Everybody takes an egg and there is still one in the carton. How is this possible?

Hint:

5 eggs are taken by the first 5 people, then the 6th person takes the egg , while its still in the carton!!

YES NO

*Did you answer this riddle correctly?*YES NO

## Finding The Angles

Hint:

47

Explanation:

At first look, it seems pretty easy but on the contrary, it is pretty tricky a question. So let us simplify it by dividing the triangle into three equal triangles (the triangles so formed if outer side is connected to the center of the circle) and then count the number of triangles in each part by taking two or more parts together.

First, let us take the triangles in one part. There are 4 non-overlapping and 3 overlapping triangles.

4 + 3 = 7

7 * 3 = 21

Next, if we take number of triangles by taking two parts together, there are 8 in total.

8 * 3 = 24

Lastly, the number of triangles if all three parts are taken together, there are a total of 2.

21 + 24 + 2 = 47.

YES NO

Explanation:

At first look, it seems pretty easy but on the contrary, it is pretty tricky a question. So let us simplify it by dividing the triangle into three equal triangles (the triangles so formed if outer side is connected to the center of the circle) and then count the number of triangles in each part by taking two or more parts together.

First, let us take the triangles in one part. There are 4 non-overlapping and 3 overlapping triangles.

4 + 3 = 7

7 * 3 = 21

Next, if we take number of triangles by taking two parts together, there are 8 in total.

8 * 3 = 24

Lastly, the number of triangles if all three parts are taken together, there are a total of 2.

21 + 24 + 2 = 47.

*Did you answer this riddle correctly?*YES NO

## Finding The Value Riddle

Can you solve the equation by finding the value of

1. Horse

2. Cowboy boot

3. Horseshoe

4. The last equation.

1. Horse

2. Cowboy boot

3. Horseshoe

4. The last equation.

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

YES NO

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

Joe has ten coins totaling $1.19. From these coins, he cannot make exact change for a dollar, half-dollar, quarter, dime, or nickel.

What are the coins?

What are the coins?

Hint:

## Bat And Ball Riddle

If a baseball and a bat cost $1.10 together, and the bat costs $1.00 more than the ball, how much does the ball cost?

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

YES NO

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

At the hardware store

I was quoted 12 cents for one,

24 cents for 50, and

36 cents for 144.

I wanted six.

What was I buying and how much did it cost me?

I was quoted 12 cents for one,

24 cents for 50, and

36 cents for 144.

I wanted six.

What was I buying and how much did it cost me?

Hint:

Prices quoted were for house numbers at 12 cents per number. A number'6' cost me 12 cents.

YES NO

*Did you answer this riddle correctly?*YES NO

## Magic Word Riddle

Can you find the magic word hidden in this poem?

Sir, I bear a rhyme excelling

In mystic force and magic spelling

Celestial sprites elucidate

All my own striving cant relate

Sir, I bear a rhyme excelling

In mystic force and magic spelling

Celestial sprites elucidate

All my own striving cant relate

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

YES NO

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?*YES NO

## Combination Value Riddle

The letters A through H can be assigned the following values to make all the equations true. Find the right combination of letter values.

Values: 1, 4, 5, 7, 9, 14, 16, 21

C + F = G

A + C = F

B + G = D

B + E = H

D + F = H

Values: 1, 4, 5, 7, 9, 14, 16, 21

C + F = G

A + C = F

B + G = D

B + E = H

D + F = H

Hint:

## Running Hot And Cold

Hint:

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