NEW PAPER PATTERN OF 9TH CLASS 2013

Paper Pattern For 9th Class 2013 according to the new Syllabus of Punjab Text Book Board

MULTIPLICATION OF ANY NUMBER BY 11

I Have Make A Simple Technique to Multiplication Of Any Number by 11 That is:

1. First, Separate 1st and Last Number as 1st number at First Position and Last Number at Last Position.
2. If There is two digit number then add them and put result between 1st and Last Number.
3. If there is more than two digit number than add 1st number with 2nd put result in 2nd digit of result, and 2nd with 3rd put result in 3rd digit of result, and 3rd with 4th put result in 4th digit of result and so on.

For Example

We Want to Multiply 15274 by 11

1. Separate  1(First Digit) and 4(Last Digit).
   (1 will be 1st Digit of Result while 4 will be Last Digit Of Result.)
2. Add 1 and 5 (1+5 = 6), 5 and 2 (5+2 = 7), 2 and 7 (2+7 = 9) and 7 and 4 (7+4 = 11).
3. Result Will be (1)(6)(7)(9+1)(1)(4) (Add 1 as carry of 11 in previous number i.e. 9)
4. Final Result is 168014

Practice It As much.It Is simple, It seems to be larger because i tried my best to illustrate it in simple Wording and steps and explain all methods in beginner level as every one either a child or a Young one can Understand it.

I Hope That It Will Help The Students, Specially Students Who are Going to do Entry Test Of any University, Where Calculator Is Prohibited .I'll do My Best to Put Many More Helpful Techniques For Students On My Website So Stay Tuned On My Website .If You have any Techniques Regarding to that which are helpful For students. Please Remember Me In Your Prayers .Thanks

MULTIPLICATON OF NUMBER ENDING AT 5 BY 5

I Have Make A Simple Technique to Multiplication Of Number Ending At 5 By 5 That is:

1. First Multiply the Two Numbers With Each Other.
2. Put Zero 0 After It (Multiply By 10).
3. Add 25 In the Number Getting After Step-2.

For Example:

We Want to Multiply 35 By 5 (35x5)

1. First Multiply 3 By 5 We'll Get 3 x 5 = 15
2. Put Zero After It 150 (15 x 10 = 150)
3. Add 25 in 150 We'll Get 150 + 25 = 175.

 Practice It As much.It Is simple, It seems to be larger because i tried my best to illustrate it in simple Wording and steps and explain all methods in beginner level as every one either a child or a Young one can Understand it.

I Hope That It Will Help The Students, Specially Students Who are Going to do Entry Test Of any University, Where Calculator Is Prohibited .I'll do My Best to Put Many More Helpful Techniques For Students On My Website So Stay Tuned On My Website .If You have any Techniques Regarding to that which are helpful For students. Please Remember Me In Your Prayers .Thanks

SQUARE OF ANY NUMBER METHOD-1

I Have Make A Simple Technique to Square of Any Number Method-1 That is:

1. First Take the One's Part of the number and add this number to the original number.
2. Multiply The answer by Ten's Part.
3. Then Square the One's Part of the Number and add to  the number obtained in Step-2.

For Example

We Want to Square 24

1. Take  4 and Add it to 24. We'll get 24+4 = 28.
2. Multiply 28 by Ten's Part i.e 20.Simply Multiply by 2 and put 0 After It We'll get 28 x 20 = 560.
3. Then Square the One's Part Means "4". We'll get 16
4. Finally Add  16 in 560. We'll get 560 + 16 = 576.

Practice It As much.It Is simple, It seems to be larger because i tried my best to illustrate it in simple Wording and steps and explain all methods in beginner level as every one either a child or a Young one can Understand it.

I Hope That It Will Help The Students, Specially Students Who are Going to do Entry Test Of any University, Where Calculator Is Prohibited .I'll do My Best to Put Many More Helpful Techniques For Students On My Website So Stay Tuned On My Website .If You have any Techniques Regarding to that which are helpful For students. Please Remember Me In Your Prayers .Thanks

 

SQUARE OF THE NUMBERS FROM 11 TO 19

I Make A Simple Technique to Square of the Numbers From 11 to 19 That is:

1. First Take the One's Part of the number and add this number to the original number.
2. Multiply The answer by 10.
3. Then Square the One's Part of the Number and add to  the number obtained in Step-2.

For Example

We Want to Square 14

1. Take  4 and Add it to 14. We'll get 14+4 = 18.
2. Multiply 18 by 10. We'll get 18 x 10 = 180.
3. Then Square the One's Part Means "4". We'll get 16
4. Finally Add  16 in 180. We'll get 180 + 16 = 196.

It Is simple It seems to be larger because i tried my best to illustrate it in simple Explain all methods in beginner level as every one either a child or a Young one can Understand it.

I Hope That It Will Help The Students, Specially Students Who are Going to do Entry Test Of any University, Where Calculator Is Prohibited .I'll do My Best to Put Many More Helpful Techniques For Students On My Website So Stay Tuned On My Website .If You have any Techniques Regarding to that which are helpful For students. Please Remember Me In Your Prayers .Thanks

SQUARE OF A NUMBER ENDING AT 5

I Make A Simple Technique to Square a Number Ending at 5 That is:

1.  First Take Ten's Part of The Number and Multiply It with its Next Number.
2.  Then Simply, Put 25 After The Number Which Obtain After Multiplication.

For Example:

We Want to Square 35

1. Take "3" Multiply It With (3+1 =)  4
2. We Get 3 x 4 = 12
3. Then Put 25 After it
4. We Get  12 25

Practice It And Then You Will Apply  It on Question So Fast .

I Hope That It Will Help The Students, Specially Students Who are Going to do Entry Test Of any University, Where Calculator Is Prohibited .I'll do My Best to Put Many More Helpful Techniques For Students On My Website So Stay Tuned On My Website .If You have any Techniques Regarding to that which are helpful For students. Please Remember Me In Your Prayers .Thanks

Math Tricks Multiplication by 11

You can directly write down the answer to any number multiplied by 11.

• Take for example the number 51236 X 11.
• First, write down the number with a zero in front of it. 051236
  The zero is necessary so that the rules are simpler.
  
• Draw a line under the number.
• Bear with me on this one. It is simple if you work through it slowly. To do this, all you have to do this is "Add the neighbor". Look at the 6 in the "units" position of the number. Since there is no number to the right of it, you can't add to its "neighbor" so just write down 6 below the 6 in the units col.
• For the "tens" place, add the 3 to the its "neighbor" (the 6). Write the answer: 9 below the 3.
• For the "hundreds" place, add the 2 to the its "neighbor" (the 3). Write the answer: 5 below the 2.
• For the "thousands" place, add the 1 to the its "neighbor" (the 2). Write the answer: 3 below the 1.
• For the "ten-thousands" place, add the 5 to the its "neighbor" (the 1). Write the answer: 6 below the 5.
• For the "hundred-thousands" place, add the 0 to the its "neighbor" (the 5). Write the answer: 5 below the 0.
  That's it ... 11 X 051236 = 563596

 I Hope That It Will Help The Students, Specially Students Who are Going to do Entry Test Of any University, Where Calculator Is Prohibited .I'll do My Best to Put Many More Helpful Techniques For Students On My Website So Stay Tuned On My Website .If You have any Techniques Regarding to that which are helpful For students. Please Remember Me In Your Prayers .Thanks

Determinent Solver 3X3

DETERMINENT 2X2

Proof Of 2=1

 

This is a Proof of 2=1.I am sure that you know that it is wrong so 

Find The Error In It.

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