**Square any two digit number:**

Suppose the number is 47

Look for the nearest multiple of 10

Example:

The nearest number is 50. We will reach 50 if we add 3 to 47

So multiply (47+3) x (47-3) = 50 × 44 = 2200 This is the 1st interim answer.

We had added 3 to reach the nearest multiple of 10 that is 50 thus 3x 3 = 9 This is the second interim answer.

The final answer is 2200 + 9 = 2209

**Multiply any two numbers from 11 to 20 in Easy Way:**

**Example:**

Take 15 × 13

Take the larger no on the top and the second digit of the smaller no. in the bottom.

15

3

Add 15+3 = 18 . Then multiply 18 × 10 = 180

Now multiply the second digit of both the no.s (ie; 5 × 3 = 15) Now add 180 + 15.

Here is the answer 180 + 15 = 195

This is a simple trick. It will help you a lot.

**Multiply any two digit number with 11:**

Example:

27 × 11

Divide the number as 2 _ 7

Add 2 + 7 = 9

Thus the answer is 2 9 7

But there is one complication. If you take a number like 57 Thus 5_7 x 11

Divide the number as 5 _ 7

Add 5 + 7 = 12

Now add 1 to 5 and place 2 in the middle so the answer is 5+1_2 _7 = _627

Thus the answer is 627.

**Square a two digit number ending in Five:**

Let the number be 35

35 × 35

Multiply the last digits of both the numbers 5 × 5 = 25

now add 1 to 3 thus 3 + 1 = 4

multiply 4 × 3 = 12

thus answer 1225

You will have to think over this one carefully.As 5 has to come in the end so the last two digits o the answer will be 25 . Add 1 to the first digit and multiply it by the original first digit . Now this answer forms the digits before the 25. Thus we get an answer.

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