10 Cool Math Tricks For Students

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Become A Genius Student With These 10 Cool
Math Tricks 
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• Hi, I am Annie, Math specialist Teacher. Today I
  am going to tell you 10 cool math tricks which
  you never heard of and it will help you for Maths
  Assignments.
• So Shall we start?
• Lets begin students..

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• Dear Student,
• Mathematics is perhaps one subject that gives
  nightmares to many students.
• Most of us so much afraid of mathematics that
  this phobia of math can keep us away from other
  favourite subjects like physics, chemistry and
  computer science. These subjects require that you
  are good at mathematics.

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• One of the most important things that we must
  keep in mind about mathematics is that it might
  be difficult but not impossible.
• The only thing that we might lack is a good
  foundation of mathematics. When you look at most
  of the mathphobics, the only complaint that they
  have is that their basics in mathematics are not
  strong enough.
• So, the point is that if your basics of
  mathematics are strong, then learning advanced
  math is not at all difficult.

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• Also, if you look closely, there are few areas in
  basic mathematics that create an issue. These
  include multiplication, division and handling
  these two in decimals
• Almost all students remember multiplication
  tables up to 10, 11, 12 and maximum to 15 but not
  beyond that.

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• Division of numbers can be worse in comparison to
  multiplication.
• Dividing an indivisible number without paper and
  pen or no calculator can be mind boggling.

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• The next issue is with the decimal system. While
  multiplying or dividing numbers, if a decimal
  point appears, most students panic.
• In fact, while performing multiplication and
  division, students pray the numbers shouldnt
  have any decimal points whatsoever.

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• So Lets Begin

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(1)
Multiplication with 11

• Everyone knows that multiplying any single digit
  number with 11 is very easy.
• But, what about double digit number? What if you
  need to multiply a double digit number like 25
  with 11?
• The answer is very simple. Just add up 2 and 5
  and insert it between 2 and 5 and you have the
  product for 2511 275. Here if the addition
  exceeds 10, then what?
• For example 5811. When you add 5 and 8 the
  number is 13, so now let 3 remain in the middle
  and add 1 and 5. Now, you get 638, which is the
  product.

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Multiplication with 11 (Continue..)

• 5811
• 5 8 13
• 5 (13) 8
• (51) 38
• 638

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Squaring numbers
(2)

• Squaring numbers from 11 to 19 can be pretty
  easy, if you know this trick. For 112, 11112
  121 121. It is the same for 12 as well. 122
  12 222 144 144.
• Now when the multiplication of the second number
  exceeds 10, follow this method. For squaring 14,
  144/42 1816 1816 196 196. This
  trick can be applied till 19.

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(3)
Squaring of 2 digit numbers ending with 5

• There are lot of easy tricks that can be used for
  double digit numbers ending with 5. Say for
  example, if you have to find the square of 45.
  First find the square of 5 which is 25. Keep this
  aside and now focus on the digit in tens place.
  Add the next highest number to the number in the
  tens place. 41 5. Now multiply 4 and 5 which
  is 20. Place this number in front of 25 and there
  you have it, 2025. The square of 45.

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Squaring of 2 digit numbers near to 5
(4)

• With the above point, it is clear that squaring
  numbers ending with 5 is easy. But, what about
  numbers end near to 5. Say for example,
  continuing with the above example 45. Now, if we
  want to square 44. How can we use 45 know the
  square of 44. There is one trick we can use. Now,
  we already know the square of 45 which is 2025.

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Squaring of 2 digit numbers near to 5 (Cont.)

• Lets keep this aside. Now add 44 45 which is
  89. Subtract 89 from 2025. You get 1936, which is
  the square of 44. You can also apply this to know
  the square of a number which is just higher than
  a number ending with 5. Continuing with the above
  example, lets try to find the square of 46.
• Example-
• To Find Square Root of 46-
• Take Sq. Root of 452025
• Now Add 454691
• So, Sq. Root of 46 2025- 91 2116

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Squaring of 3 digit numbers ranging in 100s
(5)

• For squaring 3 digit numbers ranging between 100
  and 199 can also be very easy.
• Lets try to square 114.
• When look at this number, this number can be
  represented as 100 14. For squaring it, the
  first step is to add 14 to 114. We get 128. Keep
  this number aside. Now, find the square of 14
  which is 196. Now, for finding the final step,
  write down 128 and 196. Now add the 1 from 196 to
  128 leaving behind 96. Now the final answer for
  square of 114 is 12996. Note Keep in mind that
  the maximum number of digits of the product when
  multiplying 3 digit number with another 3 digit
  number is 5.

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• 1142 11414 142
• 128196
• 128196
• 12996
• 12996
• 1322 13232322
• 1641024
• 1641024
• 17424

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Multiplying different 2 digit numbers between 11
and 19
(6)

• This is a good trick that can help in calculating
  multiplying different numbers between 11 and 19.
• Say for example,
• lets multiply 17 and 12.
• Now, take 2 from 12 and add it to 17.
• The answer is 19.
• Add 0 to 19 and make it 190.
• Keep this number aside and multiply 7 and 2,
  which is 14.
• Now, for the final answer add this to 190, which
  is 204.
• The final answer for 1712 204.

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(7)
Multiplying any number with 5

• Heres another trick to multiply any number with
  5.
• For example,
• lets multiply 88 and 5.
• Lets find out how much is 88 divided by 2, which
  is 44.
• Now, write down 0 beside 44, i.e., 440.
• Now, thats the answer for 885.
• You can apply this trick to numbers which are not
  divisible by 2.
• Now, lets try 895.
• Now, 89 divided by 2 gives 44.5.
• Now instead of adding 0, we just ignore the
  decimal and there we have it. 895 445.

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(8)
Dividing by 5

• Now, the above trick can be used in reverse to
  calculate divisions by 5. Here in the above
  example for multiplying with 5, we divided the
  number with 2. Now, we need to multiply the
  number with 2 to arrive at the division by 5. For
  example, 73/5 732 146. Now, add decimal
  after the units place. 14.6. Thats the answer
  for 73/5 14.6
• Note The above 2 examples prove that 2 and 5 are
  related in terms of multiplication and division.
  You can also try various numbers to find out the
  relation between these two numbers yourself. And
  make your calculations simple and lot quicker
  than they used to be.

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Sum of first n numbers
(9)

• Apart from these tricks, there are certain simple
  formulae that can remember as well.
• If a question about 123.14 is asked. What
  would you do?
• It would be a total waste of time adding each and
  every number.
• Instead, memorize the formula (n (n1))/ 2.
  Note n is the highest number in the series.
  So, here n 14 and n1 15. So, the answer
  would be 1415/2 210/2 105.
• The answer for the above problem 123.14 is
  105. Here you can also remember that 12345
  l5. So, if a question says calculate the sum of
  first 6 numbers, dont panic, but start from 15.
  Add 15 to 6 21.

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(10)
Sum of first n square numbers

• This is also another tricky question. But, there
  is a formula for this as well.
• 1223242 ..102.
• Now the formula for would be (n(n1)(2n1))/6.
• So, the answer would be 10(101)(201)/6.
• This can be simplified into 51121/3.
• This can be further simplified into 5117 385.

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We hope these tricks help you to finish your math
homework easily and accurately.
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• Homework
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• so that you get to understand your assignments
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  has helped a number of students pursuing
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  universities, institutes or online Programs.

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