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[Smart Math] Arithmetic Problem 27

Here’s and example of a SMART MATH problem for 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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[Speed Math] MULTIPLYING WITH 12

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

When can I use this method?

For multiplying any number with 12.

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Download Practice sheet for  MULTIPLYING WITH 12

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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[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.

When can I use this method?

For dividing any 2-digit number by 9.

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[tubepress mode=”playlist” playlistValue=”PLngU_U4dGjQdGq2z-94fnn2Ytaqo_TFDJ”]

Download Practice sheet for DIVIDING 2-DIGIT NUMBER BY 9

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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[Speed Math] MULTIPLYING WITH 999

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

When can I use this method?

For multiplying any number with 999.

[starrater tpl=10]

[tubepress mode=”playlist” playlistValue=”PLngU_U4dGjQcRhlbzJ27v63WofQsCgyMq”]

Download Practice sheet for MULTIPLYING WITH 999

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 –

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[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.

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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[tubepress mode=”playlist” playlistValue=”PLngU_U4dGjQfoRutSz4iQlg6Czdywvakp”]

Download Practice sheet for MULTIPLYING NUMBERS USING TRACHTENBERG METHOD

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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[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.

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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[tubepress mode=”playlist” playlistValue=”PLngU_U4dGjQd7aPF2hsBdJ-cV64jZlIay”]

Download Practice sheet for MULTIPLYING NUMBERS WITH EVEN DIFFERENCE

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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[Speed Math] MULTIPLYING WITH 5

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

When can I use this method?

For multiplying any number with 5.

[starrater tpl=10]

Download Practice sheet for MULTIPLYING WITH 5

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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[Speed Math] MULTIPLYING WITH 13

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

When can I use this method?

For multiplying any number with 13.

[starrater tpl=10]

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

Download Practice sheet for MULTIPLYING WITH 13

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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[Speed Math] MULTIPLYING WITH 99

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

When can I use this method?

For multiplying any number with 99.

[starrater tpl=10]

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

Download Practice sheet for MULTIPLYING WITH 99

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 –

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Categories

[Speed Math] MULTIPLYING WITH 9

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

When can I use this method?

For multiplying any number with 9.

[starrater tpl=10]

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

Download Practice sheet for MULTIPLYING WITH 9