📋 Table of Contents
- What is Vedic Mathematics?
- Trick 1: Multiplication by 11
- Trick 2: Multiplication of Numbers Near 100
- Trick 3: Square of Numbers Ending in 5
- Trick 4: Square of Any Two-Digit Number
- Trick 5: Cube of Two-Digit Numbers
- Trick 6: Division by 5, 25, 125
- Trick 7: Percentage to Fraction Conversion
- Trick 8: Multiplication by 5, 25, 50
- Trick 9: Finding Complement
- Trick 10: Digital Root (Navasesh)
- How to Apply in Exams
- FAQs
What is Vedic Mathematics?
Vedic Mathematics is an ancient system of Indian mathematics rediscovered from the Vedas by Sri Bharati Krishna Tirthaji in the early 20th century. It consists of 16 Sutras (formulas) and 13 sub-sutras that can solve complex mathematical problems in seconds.
At Shortcut Maths Coaching Institute in Jadavpur, Kolkata, we have integrated Vedic Maths techniques into our daily teaching. Our students consistently report saving 15-20 minutes in quantitative aptitude sections by using these shortcuts. In competitive exams like SSC CGL, IBPS PO, CAT, and Railway exams, where you get less than 1 minute per question, these techniques are game-changers.
- Saves 40-50% calculation time
- Reduces silly calculation errors
- Builds mental calculation confidence
- Helps in Data Interpretation speed
- Useful in all exams: SSC, Bank, Railway, CAT, MAT
Trick 1: Multiplication by 11 (Ekanyunena Purvena)
📐 Method: For any two-digit number AB × 11
Write A, then (A+B), then B. If (A+B) ≥ 10, carry over the 1 to A.
→ 4 | (4+3) | 3 = 473
→ 7 | (7+8) | 8 = 7 | 15 | 8
Carry 1: (7+1) | 5 | 8 = 858
→ 1 | (1+2) | (2+4) | 4 = 1 | 3 | 6 | 4 = 1364
Exam Application: Useful in simplification questions where multiplication by 11 appears directly or indirectly.
Trick 2: Multiplication of Numbers Near 100 (Nikhilam Navatascaramam Dasatah)
📐 Method: For numbers near 100
Find difference from 100. Cross-add one difference. Multiply differences (2 digits).
96 is 4 less than 100. 93 is 7 less than 100.
Cross-add: 96 - 7 = 89 (or 93 - 4 = 89)
Multiply differences: 4 × 7 = 28
Answer: 8928
103 is +3 from 100. 108 is +8 from 100.
Cross-add: 103 + 8 = 111
Multiply differences: 3 × 8 = 24
Answer: 11124
97 is -3. 104 is +4.
Cross-add: 97 + 4 = 101 (or 104 - 3 = 101)
Multiply: (-3) × 4 = -12 → Write as 100 - 12 = 88 (with carry)
Better way: 101 | 88 → 10088
Trick 3: Square of Numbers Ending in 5 (Ekadhikena Purvena)
📐 Method: For any number ending in 5 (A5)²
Multiply A by (A+1). Write 25 at the end.
3 × (3+1) = 12. Write 25.
Answer: 1225
7 × 8 = 56. Write 25.
Answer: 5625
10 × 11 = 110. Write 25.
Answer: 11025
Exam Application: Extremely useful in simplification, approximation, and number series questions.
Trick 4: Square of Any Two-Digit Number (Yavadunam Tavadunikritya)
📐 Method: (AB)² = A² | 2AB | B²
Write A², 2×A×B, and B² separately. Handle carries from right to left.
3² = 9 | 2×3×2 = 12 | 2² = 4
Write: 9 | 12 | 4 → Carry 1 from middle: (9+1) | 2 | 4 = 1024
6² = 36 | 2×6×7 = 84 | 7² = 49
Write: 36 | 84 | 49 → Carry from right:
36 | (84+4) | 9 = 36 | 88 | 9 → (36+8) | 8 | 9 = 4489
Trick 5: Cube of Two-Digit Numbers
📐 Method: (AB)³ using ratio method
For numbers like 12³: Write 1³ : 1²×2 : 1×2² : 2³ = 1 : 2 : 4 : 8
Double the middle terms and add with carry.
Ratio: 1 : 2 : 4 : 8
Double middle: 1 : (2+4) : (4+8) : 8 = 1 : 6 : 12 : 8
Handle carries: 1 : 6 : (12+0) : 8 → 1 : (6+1) : 2 : 8 = 1 : 7 : 2 : 8
Wait, better method:
1 | 2 | 4 | 8
→ 1 | (2×2=4, add to next) 4+4=8 | (4×2=8, add) 8+8=16 | 8
Standard: 1728
Trick 6: Division by 5, 25, 125
📐 Method: Multiply by 2, 4, 8 and shift decimal
÷5 = ×2 and ÷10 (shift decimal left)
÷25 = ×4 and ÷100
÷125 = ×8 and ÷1000
234 × 2 = 468. Shift decimal: 46.8
876 × 4 = 3504. Shift 2 places: 35.04
648 × 8 = 5184. Shift 3 places: 5.184
Exam Application: Used extensively in Data Interpretation calculations where division by these numbers is common.
Trick 7: Percentage to Fraction Conversion
📐 Memorize these conversions for instant calculation
50% = 1/2 | 33.33% = 1/3 | 25% = 1/4 | 20% = 1/5
16.66% = 1/6 | 14.28% = 1/7 | 12.5% = 1/8 | 11.11% = 1/9
10% = 1/10 | 9.09% = 1/11 | 8.33% = 1/12 | 7.69% = 1/13
6.66% = 1/15 | 6.25% = 1/16 | 5.88% = 1/17 | 5.55% = 1/18
37.5% = 3/8. So 240 × 3/8 = 30 × 3 = 90 (solved in 5 seconds!)
66.66% = 2/3. So 450 × 2/3 = 150 × 2 = 300
Trick 8: Multiplication by 5, 25, 50
📐 Method: Divide by 2, 4 and multiply by 10, 100
×5 = ×10 ÷ 2 | ×25 = ×100 ÷ 4 | ×50 = ×100 ÷ 2
84 ÷ 2 = 42. ×10 = 420
72 ÷ 4 = 18. ×100 = 1800
146 ÷ 2 = 73. ×100 = 7300
Trick 9: Finding Complement (All from 9, Last from 10)
📐 Method: For subtraction from powers of 10
Subtract all digits from 9 except the last digit, which is subtracted from 10.
4 from 9 = 5, 6 from 9 = 3, 7 from 10 = 3
Answer: 533
7 from 9 = 2, 2 from 9 = 7, 8 from 9 = 1, 3 from 10 = 7
Answer: 2717
Trick 10: Digital Root (Navasesh) for Verification
📐 Method: Sum digits repeatedly until single digit
Digital root helps verify answers quickly without full recalculation.
Digital root of 47: 4+7=11 → 1+1 = 2
Digital root of 32: 3+2 = 5
Product of DR: 2 × 5 = 10 → 1+0 = 1
Digital root of 1504: 1+5+0+4 = 10 → 1+0 = 1
Both match → Answer is likely correct ✓
How to Apply Vedic Maths in Competitive Exams
Simply knowing these tricks is not enough. You must practice them until they become second nature. Here's our recommended approach at Shortcut Maths:
- Week 1-2: Learn one trick daily. Solve 20 questions using each trick.
- Week 3-4: Mix all tricks in daily practice. Identify which trick applies to which question type.
- Week 5+: Use tricks in full-length mock tests. Track time saved per section.
🚀 Master Vedic Maths at Shortcut Maths
Join our Quantitative Aptitude batch and learn 50+ Vedic Maths shortcuts from expert faculty. Get daily practice sheets, shortcut formula books, and unlimited mock tests.
📞 Call 9804490328 to JoinFrequently Asked Questions
Q1. Is Vedic Maths enough for competitive exams?
Vedic Maths is a powerful tool but should be combined with strong conceptual understanding. It helps in calculation speed, but you still need to understand the underlying concepts of arithmetic, algebra, and geometry.
Q2. How long does it take to learn Vedic Maths?
With dedicated practice, you can learn the essential 10-15 tricks in 2-3 weeks. However, mastering them to use in exam conditions takes 1-2 months of regular practice.
Q3. Are Vedic Maths tricks allowed in exams?
Yes! These are mathematical techniques, not unfair means. They are completely legal and encouraged.
Q4. Which exams benefit most from Vedic Maths?
All competitive exams benefit: SSC CGL/CHSL, IBPS PO/Clerk, SBI PO, Railway NTPC, CAT, MAT, WBCS. Any exam with a Quantitative Aptitude or Numerical Ability section.
Q5. Do you offer Vedic Maths workshops at Shortcut Maths?
Yes! We conduct a 7-day Vedic Maths workshop every month at our Jadavpur center. Call 9804490328 to register for the next batch.
Last updated: May 15, 2026. For workshop registration, call +91-9804490328 or visit Shortcut Maths, Jadavpur, Kolkata.