Tag: Math Tricks

Contains Math Tricks

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Arithmetic Smart Math

[Smart Math] Arithmetic Problem 27

Here’s and example of a SMART MATH problem for ARITHMETIC.

Arithmetic

Problem

How many integer solutions exists for the equation \left| y-\sqrt{(y+2)^{2}-9} \right|=5?

\left| y-\sqrt{(y+2)^{2}-9} \right|=5

  1. 0
  2. 1
  3. 2
  4. 3
  5. 4

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Multiplication Multiplying with 12 Speed Math

[Speed Math] MULTIPLYING WITH 12

Here’s an example of a SPEED MATH shortcut for MULTIPLYING WITH 12 : (Mul) Nx12 from the MULTIPLICATION category.

Multiplying with 12

When can I use this method?

For multiplying any number with 12.

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pdf Download Practice sheet for  MULTIPLYING WITH 12

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Notes –

  1. There is no real need to add the zero if you can remember to perform same steps for all the digits of the number (including the first and the last).
  2. Make sure to take care of the carryovers as you add the neighboring digits.

 

Related Shortcuts –

Multiplying with 6: (Mul) Nx6

Multiplying with 7: (Mul) Nx7

Multiplying with 11: (Mul) Nx11

Multiplying with 13: (Mul) Nx13

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Categories
Dividing 2-digit Number by 9 Division Speed Math

[Speed Math] DIVIDING 2-DIGIT NUMBER BY 9

Here’s an example of a SPEED MATH shortcut for DIVIDING 2-DIGIT NUMBER BY 9: (Div) Nd9(2d) from the DIVISION category.

Dividing 2-digit Number by 9

When can I use this method?

For dividing any 2-digit number by 9.

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pdf Download Practice sheet for DIVIDING 2-DIGIT NUMBER BY 9

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Notes –

  1. When the sum of the 2 digits is ≥ 9, further divide the sum using this method until you get the sum < 9. Add each Quotient you get along the way to get the final Quotient.
  2. If the sum of the 2 digits is = 9, add 1 to the Quotient and the Remainder becomes 0.


Related Shortcuts –

None


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Categories
Multiplication Multiplying with 999 Speed Math

[Speed Math] MULTIPLYING WITH 999

Here’s an example of a SPEED MATH shortcut for MULTIPLYING WITH 999 : (Mul) Nx999 from the MULTIPLICATION category.

Multiplying with 999

When can I use this method?

For multiplying any number with 999.

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pdf Download Practice sheet for MULTIPLYING WITH 999

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Notes –

  1. The separator should be inserted before the hundred’s (100’s) digit.
  2. The complement of a number is what you need to add to it to make it up to some specified total – in this case 1000.

Related Shortcuts –

Multiplying with 9: (Mul) Nx9
Multiplying with 99: (Mul) Nx99


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Categories
Multiplication Multiplying Numbers using Trachtenberg Method Speed Math

[Speed Math] MULTIPLYING NUMBERS USING TRACHTENBERG METHOD

Here’s an example of a SPEED MATH shortcut for MULTIPLYING NUMBERS USING TRACHTENBERG METHOD: (Mul) NxMy(Tt)
from the MULTIPLICATION category.

Multiplying Numbers using Line Intersection

When can I use this method?

For multiplying any number with any other number.

Ideally, the numbers should have digits of value less than 5. This, although not a restriction, but is helpful to draw out the lines clearly and count the intersection points properly.

 

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pdf Download Practice sheet for MULTIPLYING NUMBERS USING TRACHTENBERG METHOD

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Notes –

  1. This is one of the most generic methods of multiplication.
  2. As you would notice that it is not really a shortcut method, but just an alternative method of multiplication.

Related Shortcuts –

Multiplying Numbers using Grid Method: (Mul) NxMy(Gd)

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Categories
Multiplication Multiplying Numbers with even difference Speed Math

[Speed Math] MULTIPLYING NUMBERS WITH EVEN DIFFERENCE

Here’s an example of a SPEED MATH shortcut for MULTIPLYING NUMBERS WITH EVEN DIFFERENCE: (Mul) NxM(Ed)
 from the MULTIPLICATION category.

Multiplying Numbers with even difference

When can I use this method?

method?
For multiplying any two numbers provided that the difference between the numbers is even.

Also make sure that the numbers are relatively near each other, so that squaring the difference and midpoint numbers is easy.

This method becomes a little difficult when the numbers are far apart or the midpoint of the numbers is not a round number.

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pdf Download Practice sheet for MULTIPLYING NUMBERS WITH EVEN DIFFERENCE

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Notes –

  1. This method uses the concept of (a + b)(a – b) = a2 – b2

Related Shortcuts –

Multiplying Numbers using Nearby Method: (Mul) NxM(Nr)

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Categories
Multiplication Multiplying with 5 Speed Math

[Speed Math] MULTIPLYING WITH 5

Here’s an example of a SPEED MATH shortcut for MULTIPLYING WITH 5 : (Mul) Nx5 from the MULTIPLICATION category.

Multiplying with 5

When can I use this method?

For multiplying any number with 5.

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[starrater tpl=10]

[tubepress mode=”playlist” playlistValue=”PLngU_U4dGjQfKadl45SlDFcSJjVx6Otbv”]

pdf Download Practice sheet for MULTIPLYING WITH 5

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Notes –

  1. Make sure to insert the decimal correctly as you halve the number.

Related Shortcuts –

Multiplying with 25: (Mul) Nx25

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Categories
Multiplication Multiplying with 13 Speed Math

[Speed Math] MULTIPLYING WITH 13

Here’s an example of a SPEED MATH shortcut for MULTIPLYING WITH 13 : (Mul) Nx13 from the MULTIPLICATION category.

Multiplying with 13

When can I use this method?

For multiplying any number with 13.

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[starrater tpl=10]

[tubepress mode=”playlist” playlistValue=”PLngU_U4dGjQeKszNDV_BznMxv_MxkmkKI”]

pdf Download Practice sheet for MULTIPLYING WITH 13

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Notes –

  1. There is no real need to add the zero if you can remember to perform same steps for all the digits of the number (including the first and the last).
  2. Make sure to take care of the carryovers as you add the neighboring digits.

Related Shortcuts –

Multiplying with 6: (Mul) Nx6

Multiplying with 7: (Mul) Nx7

Multiplying with 11: (Mul) Nx11

Multiplying with 12: (Mul) Nx12

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Categories
Multiplication Multiplying with 99 Speed Math

[Speed Math] MULTIPLYING WITH 99

Here’s an example of a SPEED MATH shortcut for MULTIPLYING WITH 99 : (Mul) Nx99 from the MULTIPLICATION category.

Multiplying with 99

When can I use this method?

For multiplying any number with 99.

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[starrater tpl=10]

[tubepress mode=”playlist” playlistValue=”PLngU_U4dGjQd6_89Bvq1b_W8a5WwBEx6i”]

pdf Download Practice sheet for MULTIPLYING WITH 99

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Notes –

  1. The separator should be inserted before the ten’s (10’s) digit.
  2. The complement of a number is what you need to add to it to make it up to some specified total – in this case 100.

Related Shortcuts –

Multiplying with 9: (Mul) Nx9
Multiplying with 999: (Mul) Nx999


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Categories
Multiplication Multiplying with 9 Speed Math

[Speed Math] MULTIPLYING WITH 9

Here’s an example of a SPEED MATH shortcut for MULTIPLYING WITH 9 : (Mul) Nx9 from the MULTIPLICATION category.

Multiplying with 9

When can I use this method?

For multiplying any number with 9.

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[starrater tpl=10]

[tubepress mode=”playlist” playlistValue=”PLngU_U4dGjQedyib8rCbQ5h24MJVRLEGJ”]

pdf Download Practice sheet for MULTIPLYING WITH 9

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Notes –

  1. The separator should be inserted before the unit’s (one’s) digit.
  2. The complement of a number is what you need to add to it to make it up to some specified total – in this case 10.

Related Shortcuts –

Multiplying with 99: (Mul) Nx99
Multiplying with 999: (Mul) Nx999


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