### 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 © 2023

## 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:

## Subtracting 10 From 100 Riddle

Hint:

## Flying Superman Riddle

Hint:

## 17 Sheep Riddle

Hint:

## The Non Digital Clock Riddle

Calculate the number of degrees between the hour hand and the minute hand of a clock (nondigital) that reads 3:15.

Hint:

The hour hand will have moved one-fourth of an hour; therefore, there will be 7.5 degrees between the two hands.

YES NO

*Did you answer this riddle correctly?*YES NO

## 150 Pens Riddle

Rihanna brought home 150 pens but while packing them, she misplaced some of them. When her brother asked how many she had misplaced, she told him:

If you count in pairs, one will remain

If you count in a group of three, two will remain

If you count in a group of four, three will remain

If you count in a group of five, four will remain

If you count in a group of six, five will remain

If you count in a group of seven, nothing will remain.

How many pens do you think has she misplaced ?

If you count in pairs, one will remain

If you count in a group of three, two will remain

If you count in a group of four, three will remain

If you count in a group of five, four will remain

If you count in a group of six, five will remain

If you count in a group of seven, nothing will remain.

How many pens do you think has she misplaced ?

Hint:

## The Jug Full Of Beer

A barman is having a 12 liters jug full of beer. He needs to divide or split that beer into two equal parts. All he has is two empty jugs of capacity 8 liters and 5 liters.

How will he do it using them?

How will he do it using them?

Hint:

First fill the 8 liters jug complete - 4, 8, 0

Fill the 5 liters jug with 8 liters jug - 4, 3, 5

Pour back the beer from 5 liters jug to 12 liters jug - 9, 3, 0

Pour the 3 liters from 8 liters jug to 5 liters jug - 9, 0, 3

Fill the 8 liters jug completely from 12 liters jug - 1, 8, 3

Fill the 5 liters jug from the 8 liters jug - 1, 6, 5

Pour the entire 5 liters jug back in 12 liters jug - 6, 6, 0

You have successfully split the beer into two equal parts.

YES NO

Fill the 5 liters jug with 8 liters jug - 4, 3, 5

Pour back the beer from 5 liters jug to 12 liters jug - 9, 3, 0

Pour the 3 liters from 8 liters jug to 5 liters jug - 9, 0, 3

Fill the 8 liters jug completely from 12 liters jug - 1, 8, 3

Fill the 5 liters jug from the 8 liters jug - 1, 6, 5

Pour the entire 5 liters jug back in 12 liters jug - 6, 6, 0

You have successfully split the beer into two equal parts.

*Did you answer this riddle correctly?*YES NO

## A Large Box Of Money Riddle

I have a large money box, 48 centemeters square and 42 centemeters tall. Roughly how many coins can I place in my empty money box?

Hint:

## Filling Your Buckets Riddle

You have a 5 gallon bucket and a 3 gallon bucket with as much water as you need, but no other measuring devices. Fill the 5 gallon bucket with exactly 4 gallons of water.

Hint:

Fill the 5 gallon bucket all the way up. Pour it into the 3 gallon bucket until it is full. Empty the 3 gallon bucket. Pour the remaining 2 gallons into the 3 gallon bucket. Fill the 5 gallon bucket all the way up. Finish filling the 3 gallon bucket.

YES NO

*Did you answer this riddle correctly?*YES NO

## Feet In A Yard Riddle

Hint:

## Making Ten Riddle

Hint:

Yes it is possible in Roman Numerals. In Roman Numerals,

9 = IX

10 = X

11 = XI

Thus by removing one from 9, you are getting 10 and by removing one from 11, you are getting 10 again.

YES NO

9 = IX

10 = X

11 = XI

Thus by removing one from 9, you are getting 10 and by removing one from 11, you are getting 10 again.

*Did you answer this riddle correctly?*YES NO

## Post Your Math Brain Teasers Below

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