### THE BEAUTY OF MATHEMATICS 4

This is the fourth photo depicting the beauty and use of mathematics on famous places.

### THE BEAUTY OF MATHEMATICS 3

This is the third photo depicting the beauty and use of mathematics on famous places.

### THE BEAUTY OF MATHEMATICS 2

This is the second photo depicting the beauty of mathematics in our surroundings.

### THE BEAUTY OF MATHEMATICS 1

This is the first of the series of photos appreciating math in the world.

### HAPPY 40th ANNIVERSARY RUBIKS CUBE

This day is the 40th anniversary of the Rubik's cube, which was first introduced in Hungary.

### LEARN AT MATHEMATICS REALM

This is the extension of the mathematics realm blog. It contains math lessons, tutorials, downloads, etc.

### MATH ARTS 3

Another figure being formed from symmetrically rotated and transformed picture of a famous mall in Jakarta.

### NUMBER PUZZLE 2

A very simple number puzzle you would definitely like. One is explained well and the other is given for you to try. Good luck!

### NUMBER PUZZLE

This is a simple puzzle involving a pattern of numbers. Try to decipher the pattern and find the missing numbers.

### BIG NUMBER PUZZLE

This is a simple puzzle of creating the largest possible number using the indicated numbers and symbols

### CUBE COUNTING 2

This is the second part of the cube counting series. Just count the number of cubes being used in the figure.

### LEARN AT MATHEMATICS REALM

This is an extension of the mathematics realm blog. It provides information, lessons and tutorials on specific topics from different areas of mathematics.

### CONNECTING DOTS WITH LINES

This is one of the most common math puzzles. It involves connecting dots using a specified number of lines and following some conditions

### CURVES FORMED FROM STRAIGHT LINES

These are curves approximated by the series of straight lines. You can test your creativity by forming a mathematical artwork using the curves.

### HOW TO DIVIDE A SQUARE INTO FOUR EQUAL PARTS

These are some of the ways on how to get four equal parts in a square.

### SQUARING NUMBERS NEAR 100 (Case 2)

Second part of two cases. This is the easiest way to square a number near and greater than 100.

### SQUARING NUMBERS NEAR 100 (Case 1)

First part of two cases. This is the easiest way to square a number near and less than 100.

### MULTIPLYING NUMBERS BY USING LINES

The easiest way of multiplying numbers using parallel and intersecting lines.

### EARTH HOUR 2012!

This is to promote for the Earth Hour 2012 on March 31, 2012. Read more for details...

### DIGITAL CIRCLISM

See the beauty and use of circles in different artworks. Can you guess who are in the images?

### THE SIGNIFICANCE OF 40 DAYS IN THE BIBLE

This is the list of significant events in the Bible that have been done in 40 days.

### BASIC MATH QUIZ PART I (Decimals and Integers)

This will test your knowledge about basic concepts in mathematics, specifically on decimals and integers.

### SQUARING NUMBERS ENDING IN 5

This is the easiest way to square a number ending in 5.You can actually do this in seconds only!

### PARALLEL LINES

Comparison between the definition of parallel lines in Euclidean Geometry and in Non-Euclidean Geometry.

### MAZES

Aside from the usual form of mazes that we know, there are mazes that are computer generated, which also resemble some common objects or people.

### DAYS OF THE MONTHS

This uses body parts to easily remember the exact number of days for every month of the year.

### HOW FAR IS A STORM FROM YOU

A basic computation that can easily determine the distance of a storm from your location.

## December 28, 2011

## December 16, 2011

### THE MISSING COIN PROBLEM

© Ben Heine |

A man wanted to buy a book worth 97 pesos but he does not have money for it. He decided to borrow from his friends. He borrowed 50 pesos each from his two friends. Now he has 100 pesos, which is enough to buy the book. He then bought the book and got a change of 3 pesos.

Since he still have 3 pesos, he decided to pay 1 peso each to his friends. He then only have 49 pesos credit from each of his friends.

The question is that, since he has 49 pesos credit for each friend and one peso at hand, that is

49 + 49 = 98 (credit from his friend

98 + 1 = 99 (the 1 peso is available at hand)

The total is 99 pesos but the original amount is 100 pesos. Where is the other one peso?

Post your answers here with your explanations...

© Ben Heine |

*Note: All images used are with the permission of the owner, Mr. Ben Heine, a Belgian visual artist. You can visit his website and page at*

*http://www.benheine.com/*

http://www.facebook.com/pages/Ben-Heine/45292293615

## November 27, 2011

### DIGITAL CIRCLISM

© Ben Heine |

A

**circle**is the set of all points equidistant from a fixed point called the

**. Circles could be seen anywhere. The tires of a car, wall clocks, door knobs, plates, and other objects may come in circular shape. With all of these, I was truly amazed with the use of circles in artworks.**

*center*One of these are the works of Ben Heine. He used CIRCLES in forming photos/figures. He called them as DIGITAL CIRCLISM.

© Ben Heine |

Can you guess who are these?

**1. E _ _ _ _ P _ _ _ _ _ _ ?**

© Ben Heine |

© Ben Heine |

© Ben Heine |

© Ben Heine |

© Ben Heine |

© Ben Heine |

© Ben Heine |

Now, it's time for you to guess who are in the images...

_________________________________________________________________

*Note: All images used are with the permission of the owner, Mr. Ben Heine, a Belgian visual artist. You can visit his website and pages at*

http://www.benheine.com/

http://www.facebook.com/pages/Ben-Heine/45292293615

## September 3, 2011

### THE SIGNIFICANCE OF 40 DAYS IN THE BIBLE

Photo Courtesy : Andrea Church/morgueFile |

**40 DAYS**a spiritually significant time period. Here are some situations in the Bible denoting the role of

**40 DAYS**:

**40 DAYS**of rain.

**40 DAYS**on Mount Sinai.

**40 DAYS**in the Promise Land.

**40-DAY**challenge.

**40 DAYS**of strength from a single

**40 DAYS**to change.

**40 DAYS**in the wilderness.

**40 DAYS**with Jesus after resurrection.

**40 DAYS**as significant, then why don't we?

**40 days**that could change me and others for the better?"

*The Purpose Driven Life*. Quezon City: Purpose-Driven Ministries, Phil.,Inc.

## August 7, 2011

### MULTIPLYING NUMBERS BY 11

Photo Courtesy: Kirsty Hall/flickr |

Photo Courtesy: Andrea Jaccarino/stock.xchng |

If you were asked to multiply a given number by 11, how would you do it? I’m sure you’ll do the normal multiplication process like this:

**23**

__11__

__23__

**253**

**23**

*2+3 = 5*add the digits

**253**5 is written between 2 and 3

**(23)(11) = 253.**

**56**

5 6 copy the digits of the number

**5+6 =**

**11**add the digits

**5+1) 1 6**since the result is a two digit number, retain the

**6 1 6**

**(56)(11) = 616**.

It is that easy! Now, it is your turn. Find the product of each pair of numbers.

*Answers:*

*1. 374*

*2. 495*

*3. 737*

*4. 935*

*5. 1,078*

## July 17, 2011

## May 30, 2011

### YEAR 2011

Photo Courtesy: grietgriet/morgueFile |

This year there are four (4) unusual dates. These are:

1) 01/01/11 or

**1/1/11**= January 1, 2011

2) 01/11/11 or

**1/11/1**1 = January 11, 2011

3) 11/01/11 or

**11/1/11**= November 1, 2011

4)

**11/11/11**= November 11, 2011

Another one is that

**October 2011**had

**5 Sundays, 5 Mondays and 5 Saturdays.**Also, unusual result on the following:

Step 1: Get the last two digits of your year of birth.

For example, if you are born by year

**, take**

*1990***.**

*90*Step 2: Add that number to your age this year..

In our example, if you were born year 1990, you will be

*.*

**21****+**

*90**=*

**21**

*111*

*The amazing thing about this is that no matter what year you were born, the result in step 2 will always be*

__111__*. Try it for yourself!*

## May 23, 2011

### SQUARING NUMBERS ENDING IN 5

Photo Courtesy: Alvimann/morgueFile |

^{2}? How about 25

^{2}? How would you find the answer? Can you tell the answer in 3 to 5 seconds?

Yes, there is a fast way of squaring numbers ending in 5. The method lies on the pattern being formed by the numbers upon squaring as related to the numbers being squared. Let's observe the pattern of the numbers.

5

^{2}= 25

15

^{2}= 225

25

^{2}= 625

35

^{2}= 1,225

We know already that 5

^{2}is equal to 25, that is 5

^{2}= (5)(5) = 25. Since the remaining numbers end in 5, expectedly the results should also end in 25.

Photo Courtesy: losmininos/flickr |

**1**5

^{2}=

**2**25

**5**

__2__^{2}=

**6**25

**5**

__3__^{2}=

**12**25

Now, let us look for the relationship between the remaining digits (aside from 5 and 25). The numbers are

**1**and

**2**where 2 = (

**)(2)**

__1__**2**and

**6**6 = (

**)(3)**

__2__**3**and

**12**12 = (

**)(4)**

__3__In the first pair of numbers, 2 is the product of 1 and the next consecutive number which is 2. Same as with the second pair, 6 is the result when 2 is multiplied to the number next to it which is 3. In the third pair, 12 is the product of 3 and 4.

Hence, when you square a number ending in 5, you simply multiply the remaining digit of the number, aside from 5, to the number next to it. Let us try to use it in the following numbers.

- What is 45
^{2}?

*solution:*

**45**

^{2 }=. 2,025- Find the exact value of 55
^{2}?

*solution:*

(5)(6) = 30

Affix 25 to it. That is 3,025.

Hence,

**55**.

^{2}= 3025Now, it's your turn. Try to find the value of the following in 5 seconds.

- 65
^{2}

- 75
^{2}

- 85
^{2}

- 95
^{2}

- 105
^{2}

## April 21, 2011

### THE 3 CATS, 3 MICE PROBLEM

Photoi Courtesy: chaka/morgueFile |

Please post your answer with corresponding explanation / solution here.