TRIANGLE COUNT

Here is a very classic math puzzle/problem. Just simply count the number of triangles in each figure. However, many still find it confusing since you have to count all the smallest triangles, all bigger triangles, until the largest triangle. What is confusing in this part is that some triangles may be inside another triangle (e.g. 4 small triangles are inside the bigger triangle).  This problem requires patience, time and accuracy in...

Read More

MATH CLOCK

This is my math clock. Use it everyday... It could remind you of the abundance of mathematics around us - that the world is full of mathematics. A reminder that mathematics can be used by anyone, anywhere and anytime. A reminder that mathematics is important. A reminder that mathematics is necessary and sufficient! Try to solve each of the mathematical expressions! Good luck...

Read More

MULTIPLYING A NUMBER BY 5

There are a lot of shortcuts and techniques in multiplying numbers, you just have to choose what is easy for you. This time, let us try to multiply numbers by 5.  If a number is multiplied by 5, you could divide the number by 2 then multiply it by 10. This is easier because when a number is multiplied by 10, just simply append zero(0) to the number. This technique is very effective if the number being multiplied by 5 is divisible by 2. The...

Read More

CURVES FORMED FROM STRAIGHT LINES

Series of straight lines could form a curve when the edges are smoothed out. It does not actually form the curve but approximates its form. The curve being formed is usually a parabola - that is why they sometimes call it as a parabolic curve.  Let us discover how these curves are formed from the straight lines starting with the basics.  What you need are: 1. paper (you can have a white paper or a colored paper of your choice) 2....

Read More

HOW TO DIVIDE A SQUARE INTO FOUR (4) EQUAL PARTS

There are different ways of doing this. I'll show some of the solutions then you'll find the rest. Solution 1: The easiest way to divide the square into 4 equal parts is to draw three vertical lines or three horizontal lines forming four (4) equal areas. This can be shown in the figure below, where each part is shaded with a different color.   Solution 2: Another way of dividing it is to draw one vertical and one horizontal line...

Read More

CUBE COUNTING

Let us test your spatial ability by cube counting. Just simply count the number of cubes (1x1) in the figure. The figure is a 3-dimensional object and shows only a side view. That means you also need to count the cubes that are hidden, which you can only see in another perspective / view. Let us start with the basic Rubik's cube. How many cubes are there?I guess you know the answer already... it is a 3x3x3 cube meaning there are 27 cubes...

Read More

SQUARING NUMBERS NEAR 100 (Case 2)

Here is the second part of the method of squaring a number near 100.  Number Near and Greater than 100 Example 1: Find the square of 101.           step 1. Find the difference of the given number and 100. That is 101 - 100 = 1.           step 2. Since the number is greater than 100, add the result in step 1 to the given number.        step 3. Square the result in step...

Read More

SQUARING NUMBERS NEAR 100 (Case 1)

Last time, I have shared squaring numbers ending in 5. This time let us try to square numbers near 100 - those numbers less than 100 or numbers greater than 100. Number near and less than 100. Example 1: Find the square of 98.       step 1. Find the difference of 100 and the number. That is 100 - 98 = 2.           step 2. Since the number is less than 100, subtract 2 from the given number.    ...

Read More