Vedic Maths Cheat Sheet

The Ultimate Speed Math Reference Guide

1. Multiplication Tricks

Near Base 100 (Nikhilam)

Example: 97 × 94

  • Deviations: 97 is (-3), 94 is (-6)
  • Left Part: 97 - 6 = 91
  • Right Part: (-3) × (-6) = 18
  • Answer: 9118

Vertically & Crosswise

Universal method for 2-digit

  • Step 1: Multiply units (Vertical)
  • Step 2: Cross multiply & add (Crosswise)
  • Step 3: Multiply tens (Vertical)

2. Squaring Shortcuts

Numbers Ending in 5

Example: 85²

  • First part: 8 × (8+1) = 72
  • Last part: Always 25
  • Answer: 7225

Base Method (Near 50)

Example: 46²

  • Difference from 50 is -4
  • 25 - 4 = 21 (First part)
  • 4² = 16 (Last part)
  • Answer: 2116

3. Division & Fractions

Butterfly Method (Fractions)

Example: 1/3 + 1/4

  • Cross Multiply: 1×4 + 1×3 = 7
  • Bottom: 3×4 = 12
  • Answer: 7/12

Checking Divisibility by 9

Add all digits. If sum is divisible by 9, the number is divisible by 9.

4. Special Tricks

Multiply by 11

Example: 23 × 11

  • Split the digits: 2 _ 3
  • Add them: 2+3 = 5
  • Place in middle: 253
  • Answer: 253

Magic of 9

To multiply by 9, multiply by 10 and subtract the number.
Example: 14 × 9 = 140 - 14 = 126

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