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 © 2021
A Lady Steals $100
How smart are you?.....A lady walks in the store and steals $100 bill from the register without the owners knowledge. She comes back 5 mins later and buys $70 worth of goods with the $100 bill. The owner gives her $30 in change, how much did the owner lose????
A. $30
B. 70
C. $100
D. $130
E. $170
F. $200
DO NOT OVER THINK IT!
A. $30
B. 70
C. $100
D. $130
E. $170
F. $200
DO NOT OVER THINK IT!
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. Did you answer this riddle correctly?
YES NO
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. Did you answer this riddle correctly?
YES NO
Prince Age Riddle
A princess is as old as the prince will be when the princess is twice the age that the prince was when the princess's age was half the sum of their present ages.
What are their ages?
What are their ages?
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
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
YES NO
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. Did you answer this riddle correctly?
YES NO
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!! Did you answer this riddle correctly?
YES NO
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. Did you answer this riddle correctly?
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 Did you answer this riddle correctly?
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 Did you answer this riddle correctly?
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. Did you answer this riddle correctly?
YES NO
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
Did you answer this riddle correctly?
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:
Subtracting 10 From 100 Riddle
Hint:
Flying Superman Riddle
Hint:
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