*Vedic Maths special Technique solve without Pen And Copy*
20 Powerful Vedic Maths Techniques for Fast Mental Calculation (No Pen or Copy Needed)
Vedic Mathematics is an ancient Indian system known for its simplicity and speed. With regular practice, anyone can calculate faster than a calculator — all mentally. Here are 20 powerful techniques you can start using today:
1. Multiplication of Numbers Near 100
Method:
Subtract each number from 100, cross-subtract, and multiply the differences.
Example:
97 × 96
→ 97 – 100 = -3, 96 – 100 = -4
→ Cross-subtract: 97 – 4 = 93
→ Multiply: 3 × 4 = 12
Answer: 9312
2. Squaring Numbers Ending in 5
Method:
Let the number be x5. Multiply x with (x + 1), and add 25 at the end.
Example:
25² → 2 × 3 = 6 → 625
65² → 6 × 7 = 42 → 4225
3. Multiplying Two Numbers with Same Tens and Units Adding to 10
Method:
If numbers are like 43 × 47 → same tens, units add to 10.
Multiply tens digit × (tens+1), and multiply unit digits.
Example:
43 × 47 → 4×5 = 20, 3×7 = 21 → Answer: 2021
4. Multiplying Numbers Just Above or Below a Base (like 100, 50, 1000)
Example:
102 × 104 → base 100
→ +2 and +4 → 102 + 4 = 106
→ 2×4 = 08
Answer: 10608
5. Multiplying by 11
Method:
Write the first digit, add digits in pairs, and write the last digit.
Example:
32 × 11 → 3 (3+2) 2 → 352
56 × 11 → 5 (5+6) 6 → 616
6. Subtraction from Powers of 10
Method:
Use complements for 10, 100, 1000 etc.
Example:
1000 – 637
→ 9 – 6 = 3, 9 – 3 = 6, 10 – 7 = 3 → Answer: 363
7. Digit Sum Check (Casting Out Nines)
Method:
Check if the answer is likely correct using digit sums.
Example:
28 × 4 = 112
Digit sums: 2+8=10 → 1, 4, 1+1+2 = 4 → Same? Yes!
8. Multiply by 5 Mentally
Method:
Half the number, then multiply by 10.
Example:
48 × 5 → half of 48 = 24 → 24 × 10 = 240
9. Multiply by 9, 99, or 999
Method:
Subtract 1, then subtract from all 9’s.
Example:
54 × 99
→ 54 – 1 = 53
→ 99 – 54 = 45
Answer: 5346
10. Square of Numbers Ending in 1 or 9
Method:
Use identity: (a ± 1)² = a² ± 2a + 1
Example:
21² = 20² + 2×20 + 1 = 441
29² = 30² – 2×30 + 1 = 841
11. Doubling and Halving Technique
Method:
Double one number and halve the other.
Example:
25 × 16 → 50 × 8 = 400
48 × 75 → 96 × 37.5 = 3600
12. Dividing by 5 Mentally
Method:
Multiply by 2, then divide by 10.
Example:
235 ÷ 5 → 235 × 2 = 470 → 470 ÷ 10 = 47
13. Shortcut for Finding 10%, 5%, 20%
Method:
10% = ÷10
5% = half of 10%
20% = double of 10%
Example:
240 → 10% = 24, 5% = 12, 20% = 48
14. Cube of Numbers Ending in 5
Method:
x5³ = (x)(x+1) × 1000 + 125
Example:
15³ → 1×2 = 2 → 2000 + 125 = 2125
15. Multiplying by 12 Mentally
Method:
Multiply by 10 and add double of the number.
Example:
36 × 12 → 360 + 72 = 432
16. Division by 4 or 8 Mentally
Method:
Halve twice for ÷4, thrice for ÷8
Example:
96 ÷ 8 → 96 → 48 → 24 → 12
17. General Square Formula for 2-Digit Numbers
Method:
(a + b)² = a² + 2ab + b²
Example:
47² → a=40, b=7
→ 1600 + 560 + 49 = 2209
18. Difference of Squares Technique
Formula:
a² – b² = (a – b)(a + b)
Example:
41² – 39² = (41–39)(41+39) = 2 × 80 = 160
19. Square of Numbers Close to a Base
Example:
98² → (100 – 2)² = 10000 – 400 + 4 = 9604
101² = (100 + 1)² = 10000 + 200 + 1 = 10201
20. Multiply by 25 Mentally
Method:
Multiply by 100, then divide by 4.
Example:
64 × 25 = (64 × 100) ÷ 4 = 6400 ÷ 4 = 1600
These 20 techniques are game-changers for mental math. With practice, you'll become faster, sharper, and more confident in calculations.Increase interest in Maths.


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