*Technique for Fast Calculation*
Vedic Addition:
Example 1: 462 + 538
1. Add the hundreds place:
400 + 500 = 900
2. Add the tens place:
60 + 30 = 90
3. Add the ones place:
2 + 8 = 10 (Write down 0, carry over 1)
4. Combine the results:
900 + 90 + 10 = 1000
Final Answer: 462 + 538 = 1000
Example 2: 752 + 348
1. Add the hundreds place:
700 + 300 = 1000
2. Add the tens place:
50 + 40 = 90
3. Add the ones place:
2 + 8 = 10 (Write down 0, carry over 1)
4. Combine the results:
1000 + 90 + 10 = 1100
Final Answer: 752 + 348 = 1100
Example 3: 981 + 119
1. Add the hundreds place:
900 + 100 = 1000
2. Add the tens place:
80 + 10 = 90
3. Add the ones place:
1 + 9 = 10 (Write down 0, carry over 1)
4. Combine the results:
1000 + 90 + 10 = 1100
Final Answer: 981 + 119 = 1100
Example 4: 321 + 479
1. Add the hundreds place:
300 + 400 = 700
2. Add the tens place:
20 + 70 = 90
3. Add the ones place:
1 + 9 = 10 (Write down 0, carry over 1)
4. Combine the results:
700 + 90 + 10 = 800
Final Answer: 321 + 479 = 800
Example 5: 874 + 126
1. Add the hundreds place:
800 + 100 = 900
2. Add the tens place:
70 + 20 = 90
3. Add the ones place:
4 + 6 = 10 (Write down 0, carry over 1)
4. Combine the results:
900 + 90 + 10 = 1000
Final Answer: 874 + 126 = 1000
Vedic Subtraction:
Example 1: 643 - 287
1. Start from the nearest base (1000):
1000 - 287 = 713
2. Result: 643 - 287 = 356
Final Answer: 643 - 287 = 356
Example 2: 984 - 487
1. Start from the nearest base (1000):
1000 - 487 = 513
2. Result: 984 - 487 = 497
Final Answer: 984 - 487 = 497
Example 3: 876 - 429
1. Start from the nearest base (1000):
1000 - 429 = 571
2. Result: 876 - 429 = 447
Final Answer: 876 - 429 = 447
Example 4: 752 - 264
1. Start from the nearest base (1000):
1000 - 264 = 736
2. Result: 752 - 264 = 488
Final Answer: 752 - 264 = 488
Example 5: 991 - 365
1. Start from the nearest base (1000):
1000 - 365 = 635
2. Result: 991 - 365 = 626
Final Answer: 991 - 365 = 626
Vedic Multiplication:
Example 1: 23 × 21 (Vertically and Crosswise Method)
1. Multiply the ones digits:
3 × 1 = 3
2. Cross multiply:
(2 × 1) + (3 × 2) = 2 + 6 = 8
3. Multiply the tens digits:
2 × 2 = 4
4. Combine the results:
4 | 8 | 3 = 483
Final Answer: 23 × 21 = 483
Example 2: 42 × 34 (Vertically and Crosswise Method)
1. Multiply the ones digits:
2 × 4 = 8
2. Cross multiply:
(4 × 4) + (2 × 3) = 16 + 6 = 22
3. Multiply the tens digits:
4 × 3 = 12
4. Combine the results:
1 | 2 | 2 | 8 = 1428
Final Answer: 42 × 34 = 1428
Example 3: 53 × 21 (Vertically and Crosswise Method)
1. Multiply the ones digits:
3 × 1 = 3
2. Cross multiply:
(5 × 1) + (3 × 2) = 5 + 6 = 11
3. Multiply the tens digits:
5 × 2 = 10
4. Combine the results:
10 | 11 | 3 = 1113
Final Answer: 53 × 21 = 1113
Example 4: 64 × 51 (Vertically and Crosswise Method)
1. Multiply the ones digits:
4 × 1 = 4
2. Cross multiply:
(6 × 1) + (4 × 5) = 6 + 20 = 26
3. Multiply the tens digits:
6 × 5 = 30
4. Combine the results:
30 | 26 | 4 = 3264
Final Answer: 64 × 51 = 3264
Example 5: 87 × 68 (Vertically and Crosswise Method)
1. Multiply the ones digits:
7 × 8 = 56
2. Cross multiply:
(8 × 8) + (7 × 6) = 64 + 42 = 106
3. Multiply the tens digits:
8 × 6 = 48
4. Combine the results:
48 | 106 | 56 = 5916
Final Answer: 87 × 68 = 5916
Vedic Division:
Example 1: 144 ÷ 12
1. Estimate:
12 × 12 = 144
2. Result: 144 ÷ 12 = 12
Final Answer: 144 ÷ 12 = 12
Example 2: 573 ÷ 19
1. Estimate:
19 × 3 = 57 (The first digit of the quotient is 3)
2. Subtract:
57 - 57 = 0, bring down 3.
3. Divide:
19 × 0 = 0.
4. Final result: 30.15
Final Answer: 573 ÷ 19 = 30.15
Example 3: 168 ÷ 12
1. Estimate:
12 × 14 = 168
2. Result: 168 ÷ 12 = 14
Final Answer: 168 ÷ 12 = 14
Example 4: 963 ÷ 27
1. Estimate:
27 × 3 = 81
2. Subtract:
96 - 81 = 15, bring down 3.
3. Divide:
27 × 0 = 0.
4. Final result: 35.74
Final Answer: 963 ÷ 27 = 35.74
Example 5: 945 ÷ 45
1. Estimate:
45 × 21 = 945
2. Result: 945 ÷ 45 = 21
Final Answer: 945 ÷ 45 = 21
* Vedic Mathematics Worksheet (100 Questions in 10 Minutes)*
Addition (25 Questions)
1. 345 + 234 = ?
2. 421 + 189 = ?
3. 876 + 324 = ?
4. 562 + 238 = ?
5. 134 + 789 = ?
6. 412 + 618 = ?
7. 539 + 431 = ?
8. 803 + 157 = ?
9. 672 + 158 = ?
10. 545 + 467 = ?
11. 928 + 129 = ?
12. 563 + 287 = ?
13. 415 + 138 = ?
14. 697 + 258 = ?
15. 234 + 567 = ?
16. 348 + 276 = ?
17. 712 + 394 = ?
18. 503 + 367 = ?
19. 945 + 53 = ?
20. 352 + 448 = ?
21. 759 + 146 = ?
22. 625 + 335 = ?
23. 924 + 130 = ?
24. 188 + 912 = ?
25. 713 + 249 = ?
Subtraction (25 Questions)
26. 783 - 235 = ?
27. 642 - 391 = ?
28. 839 - 532 = ?
29. 927 - 617 = ?
30. 512 - 173 = ?
31. 934 - 457 = ?
32. 762 - 594 = ?
33. 845 - 278 = ?
34. 663 - 289 = ?
35. 510 - 256 = ?
36. 983 - 472 = ?
37. 521 - 148 = ?
38. 756 - 398 = ?
39. 467 - 215 = ?
40. 850 - 636 = ?
41. 719 - 356 = ?
42. 632 - 412 = ?
43. 815 - 270 = ?
44. 945 - 602 = ?
45. 734 - 238 = ?
46. 678 - 467 = ?
47. 512 - 231 = ?
48. 899 - 434 = ?
49. 526 - 218 = ?
50. 661 - 395 = ?
Multiplication (25 Questions)
51. 23 × 4 = ?
52. 14 × 5 = ?
53. 32 × 6 = ?
54. 27 × 8 = ?
55. 45 × 3 = ?
56. 62 × 2 = ?
57. 58 × 9 = ?
58. 71 × 7 = ?
59. 39 × 8 = ?
60. 14 × 12 = ?
61. 52 × 3 = ?
62. 67 × 2 = ?
63. 38 × 7 = ?
64. 22 × 6 = ?
65. 33 × 5 = ?
66. 81 × 4 = ?
67. 44 × 3 = ?
68. 64 × 5 = ?
69. 56 × 7 = ?
70. 25 × 9 = ?
71. 49 × 8 = ?
72. 16 × 15 = ?
73. 18 × 12 = ?
74. 36 × 6 = ?
75. 48 × 5 = ?
Division (25 Questions)
76. 144 ÷ 12 = ?
77. 525 ÷ 25 = ?
78. 672 ÷ 24 = ?
79. 784 ÷ 28 = ?
80. 963 ÷ 27 = ?
81. 432 ÷ 24 = ?
82. 144 ÷ 36 = ?
83. 864 ÷ 32 = ?
84. 198 ÷ 22 = ?
85. 539 ÷ 7 = ?
86. 672 ÷ 21 = ?
87. 315 ÷ 9 = ?
88. 980 ÷ 49 = ?
89. 612 ÷ 18 = ?
90. 567 ÷ 63 = ?
91. 990 ÷ 33 = ?
92. 756 ÷ 12 = ?
93. 450 ÷ 15 = ?
94. 999 ÷ 37 = ?
95. 855 ÷ 19 = ?
96. 231 ÷ 11 = ?
97. 462 ÷ 21 = ?
98. 720 ÷ 24 = ?
99. 840 ÷ 28 = ?
100. 999 ÷ 27 = ?
Instructions:
1. Set a timer for 10 minutes.
2. Work quickly, but carefully. Focus on accuracy over speed.
3. Use Vedic math methods to speed up calculations, especially for multiplication and division.
4. Try to finish all 100 questions. Even if you don't finish, try to complete as many as possible.
5. Review: Once you finish, go over the answers to ensure you’ve followed the correct methods.
This worksheet can be a great way to sharpen your Vedic Math skills and work on your speed.
*Basic kid's Mental Maths*
*Addition, Subtraction, Multiplication, and Division of one-digit numbers using Vedic Mathematics techniques:*
1. Vedic Addition of One-Digit Numbers:
In Vedic Math, addition is very straightforward, but for speed, we focus on carryover when the sum of the digits exceeds 9.
Example 1:
6 + 7 = ?
Step 1: Add the numbers directly: 6 + 7 = 13.
Step 2: Write 3 in the ones place (result), and 1 is the carryover.
Answer: 13 (The carryover of 1 will be added to the next digit, if applicable).
Example 2:
4 + 8 = ?
Step 1: Add the numbers: 4 + 8 = 12.
Step 2: Write 2 in the ones place, carry 1 to the next column.
Answer: 12.
2. Vedic Subtraction of One-Digit Numbers:
In Vedic Math, subtraction can often be faster using 9’s complement or direct subtraction when borrowing is not needed.
Example 1: Basic Subtraction
9 - 4 = ?
Step 1: Subtract the numbers directly: 9 - 4 = 5.
Answer: 5.
Example 2: Subtraction with Borrowing (Complementary Method)
7 - 8 = ?
Step 1: Here, the number is smaller than the number you're subtracting from. Use the 9's complement method.
Step 2: Find the 9's complement of 8. The complement of 8 is 1 (since 9 - 8 = 1).
Step 3: Find the complement of 7. The complement of 7 is 2 (since 9 - 7 = 2).
Step 4: Add the complements: 1 + 2 = 3. The result is -1.
Answer: -1.
Example 3: Simple Subtraction without Borrowing
9 - 5 = ?
Step 1: Subtract directly: 9 - 5 = 4.
Answer: 4.
3. Vedic Multiplication of One-Digit Numbers:
For one-digit multiplication, Vedic Mathematics uses direct multiplication and vertical and crosswise methods for more complex multiplications.
Example 1: Direct Multiplication
3 × 5 = ?
Step 1: Multiply directly: 3 × 5 = 15.
Answer: 15.
Example 2: Multiplying by 9
When multiplying by 9, Vedic Math uses a trick where the result can be found quickly.
9 × 4 = ?
Step 1: Subtract the number being multiplied from 10.
10 - 4 = 6.
Step 2: The first digit is 6.
Step 3: The second digit is found by subtracting the number from 9: 9 - 4 = 5.
Step 4: The answer is 36.
Answer: 36.
Example 3: Multiplication using the Vertical and Crosswise Method
For a one-digit multiplication example, this method might seem overkill but is a good practice for multi-digit numbers.
6 × 7 = ?
Step 1: Multiply directly: 6 × 7 = 42.
Answer: 42.
4. Vedic Division of One-Digit Numbers:
Vedic Math uses a short division method for dividing smaller numbers.
Example 1: Simple Division
8 ÷ 4 = ?
Step 1: Divide directly: 8 ÷ 4 = 2.
Answer: 2.
Example 2: Division with Remainder
9 ÷ 4 = ?
Step 1: Divide: 9 ÷ 4 = 2 (with remainder).
Step 2: The quotient is 2, and the remainder is 1.
Answer: 2 R1 (Quotient is 2 and remainder is 1).
Example 3: Division with Larger Dividends
6 ÷ 3 = ?
Step 1: Divide directly: 6 ÷ 3 = 2.
Answer: 2.
More Vedic Techniques:
1. Multiplying by 11:
For example, 7 × 11:
Break down: 7 × 11 = 7 × (10 + 1).
Step 1: Multiply 7 by 10: 70.
Step 2: Multiply 7 by 1: 7.
Step 3: Add the results: 70 + 7 = 77.
Answer: 77.
2. Multiplying by 5:
For example, 6 × 5:
Step 1: Multiply 6 by 10: 60.
Step 2: Divide by 2: 60 ÷ 2 = 30.
Answer: 30.
Practice Sheet for One-Digit Operations:
Addition:
1. 5 + 6 = ?
2. 8 + 1 = ?
3. 7 + 3 = ?
4. 6 + 4 = ?
5. 9 + 2 = ?
Subtraction:
6. 8 - 5 = ?
7. 7 - 3 = ?
8. 6 - 2 = ?
9. 9 - 6 = ?
10. 5 - 8 = ?
Multiplication:
11. 3 × 4 = ?
12. 2 × 6 = ?
13. 5 × 9 = ?
14. 7 × 8 = ?
15. 9 × 3 = ?
Division:
16. 8 ÷ 4 = ?
17. 9 ÷ 3 = ?
18. 6 ÷ 2 = ?
19. 7 ÷ 7 = ?
20. 6 ÷ 3 = ?
Summary:
Addition: Directly add the digits, carrying over when necessary.
Subtraction: Use the complement method for faster subtraction when borrowing is required.
Multiplication: Use direct multiplication for one-digit numbers, and apply tricks for multiplying by 9, 5, and 11.
Division: Divide using the short division method, and handle remainders when needed.
These methods provide a quick and efficient way to perform operations with one-digit numbers, and with practice, you can speed up your calculations significantly!
Mastering Fast Calculation in One Day: Techniques and Practice Plan
Fast calculation is not just a skill; it's a superpower that can boost your confidence, speed up your exams, and enhance your overall intelligence. With a focused approach, anyone can learn amazing mental math tricks in just one day. Here’s how you can do it.
Top Fast Calculation Techniques
1. Multiplication by 11
Multiply any two-digit number by 11 quickly.
Example: 43 × 11
Split the digits: 4 _ 3
Add the middle digit: 4 + 3 = 7
Answer: 473
2. Square of Numbers Ending in 5
Example: 25²
Multiply the first digit by its next: 2 × 3 = 6
Add 25 at the end → 625
Answer: 625
3. Multiplying Numbers Near 100
Example: 96 × 98
100 - 96 = 4, 100 - 98 = 2
96 - 2 = 94, 4 × 2 = 08
Answer: 9408
4. Fast Addition (Left to Right Method)
Example: 526 + 387
Add hundreds: 500 + 300 = 800
Tens: 20 + 80 = 100
Units: 6 + 7 = 13
Total: 800 + 100 + 13 = 913
5. Multiplying by 5, 25, and 125
Multiply by 5: Half the number × 10
Example: 46 × 5 = 23 × 10 = 230
Multiply by 25: Divide by 4 × 100
Example: 64 × 25 = 16 × 100 = 1600
Multiply by 125: Divide by 8 × 1000
Example: 32 × 125 = 4 × 1000 = 4000
6. Subtraction from 1000, 10000, etc.
Example: 1000 - 637
Subtract each digit from 9, last from 10
→ (9-6)(9-3)(10-7) = 3 6 3
Answer: 363
7. Squaring Numbers Between 50 and 60
Use formula: (50 + x)² = 2500 + 100x + x²
Example: 53² = 2500 + 300 + 9 = 2809
8. Vedic Crosswise Multiplication
Example: 23 × 14
Step 1: Units → 3 × 4 = 12
Step 2: Cross → (2×4 + 3×1) = 11
Step 3: Tens → 2 × 1 = 2
After managing carry: 322
9. Divisibility Rules
Learn quick tests for division:
Divisible by 2: Last digit is even
Divisible by 3: Sum of digits divisible by 3
Divisible by 5: Ends in 0 or 5
Divisible by 9: Sum divisible by 9
Divisible by 11: Alternating digit sum divisible by
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