What are the best Vedic math tricks for competitive exams?

Key tricks include squaring numbers ending in 5, multiplying by 11, base method for numbers near 100, Nikhilam sutra for subtraction, quick division by 5, and percentage shortcuts. Practice daily for 15 minutes.

How to calculate squares mentally?

For numbers ending in 5: multiply first digit by next consecutive digit, add 25. For numbers near 50: add/subtract difference from 25, append square of difference. For numbers near 100: use algebraic identity (a+/-b)^2.

How much time can speed math save in exams?

Mastering mental math can save 5-10 minutes in JEE/NEET, allowing more time for complex problems. With practice, you can reduce calculation time by 50% for standard numerical questions.

Speed Math Tricks: Solve Calculations Faster in Competitive Exams

2025-11-25 • Category: Mathematics

Learn Vedic math techniques and mental calculation shortcuts. Perfect for saving time in JEE, NEET, and board exams. Includes practice exercises.

Squaring Numbers Quickly

Numbers ending in 5: (n5)² = n×(n+1) followed by 25. Example: 65² = 6×7=42, answer 4225
Numbers near 50: (50+d)² = 2500 + 100d + d². Example: 53² = 2500+300+9 = 2809
Numbers near 100: (100−d)² = 10000 − 200d + d². Example: 97² = 10000−600+9 = 9409
Squaring two-digit numbers: split into tens (a) and units (b); answer = a²×100 + 2ab×10 + b²

Multiplication Shortcuts

Multiply by 11: sum adjacent digits and insert. Example: 36×11 = 3(3+6)6 = 396
Multiply any number by 5: divide by 2, multiply by 10. Example: 48×5 = 24×10 = 240
Cross multiplication for two-digit numbers: (a+b)(c+d) = ac + (ad+bc) + bd
Multiply by 25: divide by 4, multiply by 100. Example: 84×25 = 21×100 = 2100

Percentage and Division Shortcuts

10% of any number: move decimal one place left. Example: 10% of 346 = 34.6
5% = half of 10%; 15% = 10% + 5%; 20% = 2×10%
Divide by 5: multiply by 2, then by 0.1. Example: 375÷5 = 750÷10 = 75
Quick squares: 25² = 625; 35² = 1225; 45² = 2025; 55² = 3025 (pattern: first two digits increase by 10)

Frequently Asked Questions

What are the best Vedic math tricks for competitive exams?: Key tricks include squaring numbers ending in 5, multiplying by 11, base method for numbers near 100, Nikhilam sutra for subtraction, quick division by 5, and percentage shortcuts. Practice daily for 15 minutes.
How to calculate squares mentally?: For numbers ending in 5: multiply first digit by next consecutive digit, add 25. For numbers near 50: add/subtract difference from 25, append square of difference. For numbers near 100: use algebraic identity (a+/-b)^2.
How much time can speed math save in exams?: Mastering mental math can save 5-10 minutes in JEE/NEET, allowing more time for complex problems. With practice, you can reduce calculation time by 50% for standard numerical questions.

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