Here’s an example of a SPEED MATH shortcut for Multiplying a Number ending with 5: (Mul) NxM(LD5) from the MULTIPLICATION category.

When can I use this method?

Although this can be used for multiplying any number with another number whose last digit is = 5, it is better suited for 2 or 3-digit numbers. Larger numbers could get increasingly difficult to multiply with this method.

Download Practice sheet for MULTIPLYING A NUMBER ENDING WITH 5

Notes –

1. This method uses the concept of doubling one number and halving another thereby not affecting the end product.
2. Always double the number whose last digit = 5.
3. While halving an odd number, make sure to put the decimal.

Related Shortcuts –

Multiplying a Number ending with 1: (Mul) NxM(LD1)

Multiplying a Number ending with 9: (Mul) NxM(LD9)
Multiplying Numbers using Aliquot Method: Mul) NxM(Aq)

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Here’s an example of a SPEED MATH shortcut for MULTIPLYING NUMBERS USING LINE INTERSECTION: (Mul) NxMy(Li)
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.

Download Practice sheet for MULTIPLYING NUMBERS USING LINE INTERSECTION

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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Here’s an example of a SPEED MATH shortcut for MULTIPLYING NUMBERS WITH LAST DIGIT SUM 10: (Mul) S10dx from the MULTIPLICATION category.

When can I use this method?

For multiplying any 2-digit number with another 2-digit number such that the sum of the last digits of the multiplier and multiplicand = 10 and the remaining digits of multiplier are same as that of the multiplicand.

For multiplying any 3-digit number with another 3-digit number such that the sum of the last digits of the multiplier and multiplicand = 10 and the remaining digits of multiplier are same as that of the multiplicand.

You cannot use this method to multiply numbers with unequal number of digits, i.e. multiplying a 2-digit number with a 3-digit number.

Download Practice sheet for MULTIPLYING NUMBERS WITH LAST DIGIT SUM 10

Notes –

1. The RHS of the answer should always be written in 2-digit form by prefixing a zero, if the value is single digit, e.g. write ‘9’ as ‘09’.

Related Shortcuts –

Multiplying Numbers with last digit sum 100: (Mul) S100dx
Multiplying Numbers with last digit sum 1000: (Mul) S1000dx

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Here’s an example of a SPEED MATH shortcut for MULTIPLYING NUMBERS WITH LAST DIGIT SUM 10: (Mul) S10dx from the MULTIPLICATION category.

When can I use this method?

For multiplying any 2-digit number with another 2-digit number such that the sum of the last digits of the multiplier and multiplicand = 10 and the remaining digits of multiplier are same as that of the multiplicand.

For multiplying any 3-digit number with another 3-digit number such that the sum of the last digits of the multiplier and multiplicand = 10 and the remaining digits of multiplier are same as that of the multiplicand.

You cannot use this method to multiply numbers with unequal number of digits, i.e. multiplying a 2-digit number with a 3-digit number.

Download Practice sheet for MULTIPLYING NUMBERS WITH LAST DIGIT SUM 10

Notes –

1. The RHS of the answer should always be written in 2-digit form by prefixing a zero, if the value is single digit, e.g. write ‘9’ as ‘09’.

Related Shortcuts –

Multiplying Numbers with last digit sum 100: (Mul) S100dx
Multiplying Numbers with last digit sum 1000: (Mul) S1000dx

We hope this helps you in getting to the answer faster. You can apply this shortcut in the exams and get to the answer before anyone else can.

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Here’s an example of a SPEED MATH shortcut for SQUARING 2-DIGIT NUMBERS NEAR A BASE : (Sq) NrB2 from the SQUARING AND SQUARE ROOTS category.

When can I use this method?

For squaring any 2-digit numbers.

The number can be either < or > a Base number.

Download Practice sheet for SQUARING 2-DIGIT NUMBERS NEAR A BASE

Notes –

1. When selecting a Base number, prefer a number that is near the number to be squared as well as it should be easy to multiply with (prefer round numbers).
2. This method uses the concept (B + a)² = [(B + a) + a] + a², where ‘(B + a)’ is the number to be squared, ‘B’ is the Base number and ‘a’ is the difference.
3. Whenever the number is more than the Base number, the difference is written as positive (+ve).
4. Whenever the number is less than Base Number, the difference is written as negative (-ve).
5. This method is a corollary to the Multiplication method NrB2

Related Shortcuts –

Squaring Numbers near 100 : (Sq) Nr100

Squaring Numbers near 1000 : (Sq) Nr1000

Squaring Numbers near 50 : (Sq) Nr50

Squaring Numbers near 500 : (Sq) Nr500

Squaring 3-digit Numbers near a Base : (Sq) NrB3

We hope this helps you in getting to the answer faster. You can apply this shortcut in the exams and get to the answer before anyone else can.

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Here’s an example of a SPEED MATH shortcut for MULTIPLYING 4-DIGIT NUMBERS NEAR A BASE NUMBER : (Mul) NrB4 from the MULTIPLICATION category.

When can I use this method?

For multiplying any 4-digit number with another 4-digit number such that the numbers are relatively near each other.

You may also use this method to multiply numbers a little farther away from each other as long as their differences from the Base number are easy to multiply.

Download Practice sheet for MULTIPLYING 4-DIGIT NUMBERS NEAR A BASE NUMBER

Notes –

1. When selecting a Base number, prefer a number that is near the multiplier and multiplicand as well as it should be easy to multiply with (prefer round numbers).
2. This method uses the concept (B + a) (B + b) = [(B + a) + b] + ab or [(B + b) + a] + ab, where ‘(B + a)’ and ‘(B + b)’ are numbers near a Base number ‘B’ and ‘a’ and ‘b’ are the respective differences.
3. Whenever the number is more than the Base number, the difference is written as positive (+ve).
4. Whenever the number is less than Base Number, the difference is written as negative (-ve).
5. When both numbers are either less or more than Base Number, you add the product of differences.
6. When one number is more than Base number and another less than Base number, you subtract the product of differences.

Related Shortcuts –

Multiplying 2-digit Numbers near a Base Number: (Mul) NrB2
Multiplying 3-digit Numbers near a Base Number: (Mul) NrB3
Multiplying Numbers near different Base Numbers: (Mul) NrBpBs
Multiplying Numbers using Nearby Method: (Mul) NxM(Nr)

We hope this helps you in getting to the answer faster. You can apply this shortcut in the exams and get to the answer before anyone else can.

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Is this a helpful shortcut? Don’t forget to rate this shortcut

Tell us what you think. How can we improve? Feel free to comment or ask questions. We can be reached at math(at)lazymaths(dot)com

Here’s an example of a SPEED MATH shortcut for MULTIPLYING A NUMBER ENDING WITH 1:(Mul) NxM(LD1) from the MULTIPLICATION category.

When can I use this method?

Although this can be used for multiplying any number with another number whose last digit is = 1, it is better suited for 2 or 3-digit numbers. Larger numbers could get increasingly difficult to multiply with this method.

Download Practice sheet for MULTIPLYING A NUMBER ENDING WITH 1

Notes –

1. This method uses the concept a x (b+1) = ab + a

Related Shortcuts –

Multiplying a Number ending with 5: (Mul) NxM(LD5)
Multiplying a Number ending with 9: (Mul) NxM(LD9)
Multiplying Numbers using Aliquot Method: Mul) NxM(Aq)

We hope this helps you in getting to the answer faster. You can apply this shortcut in the exams and get to the answer before anyone else can.

If you like this
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Want more of these? Click SPEED MATH

Wanna learn from other resources? Head to our MORE MATH page

You can also join OUR CLASSES and learn hundreds of such techniques. Learn to apply them in your exams and even in everyday life! We offer classroom training for SAT, GRE, GMAT and many more exams.

Is this a helpful shortcut? Don’t forget to rate this shortcut

Tell us what you think. How can we improve? Feel free to comment or ask questions. We can be reached at math(at)lazymaths(dot)com

Here’s an example of a SPEED MATH shortcut for MULTIPLYING NUMBERS WITH FIRST DIGITS SUM 100 : (Mul) F100dx from the MULTIPLICATION category.

When can I use this method?

For multiplying any 3-digit number with another 3-digit number such that the sum of the initial digits of the multiplier and multiplicand = 100 and the remaining digits of multiplier are same as that of the multiplicand.

For multiplying any 4-digit number with another 4-digit number such that the sum of the initial digits of the multiplier and multiplicand = 100 and the remaining digits of multiplier are same as that of the multiplicand.

You cannot use this method to multiply numbers with unequal number of digits, i.e. multiplying a 3-digit number with a 4-digit number.

Download Practice sheet for MULTIPLYING NUMBERS WITH FIRST DIGITS SUM 100

Notes –

1. Notice the way the common digits are added.
2. When multiplying 3-digit numbers with common last digit, remember to write the RHS of the answer in 2-digit form by prefixing a zero, if the value is single digit, e.g. write ‘9’ as ‘09’.
3. When multiplying 4-digit numbers with last 2 digits common, remember to write the RHS of the answer in 4-digit form by prefixing zero(s), if the value is less than 4-digit, e.g. write ‘9’ as ‘0009’ or ‘21’ as ‘0021’ or ‘121’ as ‘0121’.

Related Shortcuts –

Multiplying Numbers with first digits sum 10: (Mul) F10dx
Multiplying Numbers with first digits sum 1000: (Mul) F1000dx

We hope this helps you in getting to the answer faster. You can apply this shortcut in the exams and get to the answer before anyone else can.

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Want more of these? Click SPEED MATH

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

When can I use this method?

For multiplying any two numbers relatively near each other.

This method becomes a little difficult when the numbers are far apart.

Download Practice sheet for MULTIPLYING NUMBERS USING NEARBY METHOD

Notes –

1. Make sure to select a round number as the nearby number to ease the calculations.
2. This method uses the concept of (a + b)(a + c) = a (a + b + c) + (bc)

Related Shortcuts –

Multiplying Numbers with even difference : (Mul) NxM(Ed)

We hope this helps you in getting to the answer faster. You can apply this shortcut in the exams and get to the answer before anyone else can.

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Here’s an example of a SPEED MATH shortcut for SQUARING NUMBERS NEAR 1000 : (Sq) Nr1000 from the SQUARING AND SQUARE ROOTS category.

When can I use this method?

For squaring numbers near 1000.

The number can be either < or > 1000.

One can use this method to square numbers away from 1000 as long as it is comfortable to square the difference portions.

Download Practice sheet for SQUARING NUMBERS NEAR 1000

Notes –

1. This method uses the concept (1000 + a)² = [(1000 + a) + a] + a², where ‘(1000 + a)’ is the number near 1000 and ‘a’ is the difference.
2. Whenever the number is more than 1000, the difference is written as positive (+ve).
3. Whenever the number is less than 1000, the difference is written as negative (-ve).
4. This method is a corollary to the Multiplication method Nr1000

Related Shortcuts –

Squaring Numbers near 100 : (Sq) Nr100

Squaring Numbers near 50 : (Sq) Nr50

Squaring Numbers near 500 : (Sq) Nr500

Squaring 2-digit Numbers near a Base : (Sq) NrB2

Squaring 3-digit Numbers near a Base : (Sq) NrB3

We hope this helps you in getting to the answer faster. You can apply this shortcut in the exams and get to the answer before anyone else can.

If you like this
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Want more of these? Click SPEED MATH

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Is this a helpful shortcut? Don’t forget to rate this shortcut

Tell us what you think. How can we improve? Feel free to comment or ask questions. We can be reached at math(at)lazymaths(dot)com