This document provides shortcuts and tricks for multiplying multi-digit numbers. It includes four math tricks: 1) multiplying two numbers closer but less than 100 by taking the difference from 100 and diagonally subtracting, 2) multiplying two numbers closer but greater than 100 by taking the difference from 100 and diagonally adding, 3) multiplying any number by 11 by adding digits from right to left to form a chain, 4) multiplying any two-digit number by any two-digit number by multiplying ones place then tens place and adding the results. Examples are provided for each trick.

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Welcome
to
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On
Quantitative Aptitude
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3. Simplification
Addition and
Subtraction
Multiplication Fraction
Square and
Square root
Cube and
Cube Root
VBOD Mass
rules

4. Maths trick # 1

5. Shortcut Multiplication with Numbers closer but less than 100
99
x 98
Step 1: Take the difference with 100
1
2
2
Step 2: Multiply the difference
Step 3: After Multiplying the difference
if the answer is a single digit then pu
a ‘0’ before the answer .
0
Step 4: Diagonally subtract the number
with the difference
97
97
x 98
3
2
6095
94
x 96
6
4
2490
Math trick # 1
91
x 92
9
8
7283

6. 95
x 99
5
1
5094
1) 98
x 94
2
6
1292
2) 92
x 99
8
1
0891
3) 93
x 97
7
3
2190
4)
91
x 92
9
8
7283
5) 96
x 95
4
5
2091
6) 94
x 91
6
9
5485
7) 97
x 91
3
9
2788
8)
Step 1: Take the difference with 100
Step 2: Multiply the difference
Step 3: After Multiplying the difference
if the answer is a single digit then put
a ‘0’ before the answer .
Step 4: Diagonally subtract the number
with the difference
Maths trick # 1
Shortcut Multiplication with Numbers closer but less than 100

7. Maths trick # 2

8. Maths trick # 2
Shortcut Multiplication with Numbers closer but greater than 100
102
x 101
2
1
20103
105
x 107
5
7
35112
109
x 102
9
2
18111
Step 1: Take the difference with 100
Step 2: Multiply the difference
Step 3: After Multiplying the difference
if the answer is a single digit then put
a ‘0’ before the answer .
Step 4: Diagonally Add the number
with the difference

9. Maths trick # 2
Shortcut Multiplication with Numbers closer but greater than 100
103
x 104
Step 1: Take the difference with 100
3
4
12
Step 2: Multiply the difference
Step 3: After Multiplying the differenc
if the answer is a single digit then p
a ‘0’ before the answer .
Step 4: Diagonally Add the number
with the difference
107
1) 2) 3) 4)102
x 104
2
4
80106
109
x 105
9
5
45114
108
x 107
8
7
56115

10. Maths trick # 3

11. Maths trick # 3
Shortcut Multiplication with 11
123 x 11 =
Step 1: put two dots at the extreme end
3531
412 x 11 = 2354
Step 1: keep on adding digits from righ
forming a chain
5312 x 11 = 23485

12. Maths trick # 3
Shortcut Multiplication with 11
321 x 11 =1353
214 x 11 =4532
2314 x 11 =45452
1)
2)
3)
162 x 11 =28714)
Step 1: put two dots at the extreme
Step 1: keep on adding digits from ri
forming a chain

13. Maths trick # 4

14. Maths trick # 4
Multiplication of any two digit number with any two digit number
1)
2) +
3)
32
x 21
276
3 + 4
12
x 14
861
4 + 2
13
x 14
21
8
4 + 3
1
26
x 23
81
9
6 + 12
1
5

15. Maths trick # 4
Multiplication of any two digit number with any two digit number
1)
Class Work :
13
x 21
372
2) 62
x 12
447
3) 43
x 14
206
4) 51
x 31
1815
5) 15
x 13
591
6) 34
x 41
4913
7) 26
x 21
645
8) 31
x 12
273