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Square Coding

Square Coding replaces each letter with the square of its position number. A=1²=1, B=2²=4, C=3²=9, ..., Z=26²=676. Words become sequences of square numbers. These problems test knowledge of perfect squares and multiplication skills.

10Worksheets
200+Practice Questions
IntermediateDifficulty
2-3 hoursHours to Master

What You'll Learn

Introduction & Overview Why This Matters How to Solve Pro Tips & Tricks
Shortcut Methods Common Mistakes Practice Worksheets Exam Importance

Introduction to Square Coding

Square Coding replaces each letter with the square of its position number. A=1²=1, B=2²=4, C=3²=9, ..., Z=26²=676. Words become sequences of square numbers. These problems test knowledge of perfect squares and multiplication skills.

Prerequisites

Perfect squares up to 26²=676 Alphabet positions (A=1 to Z=26) Multiplication skills Letter-to-number conversion
Why This Matters: Square Coding appears in 1-2 questions in SSC CGL and Banking PO exams. It tests perfect square knowledge and multiplication.

How to Solve Square Coding Problems

1

Step 1: Convert each letter to its position number (A=1, B=2, ..., Z=26)

2

Step 2: Square each position number: n²

3

Step 3: Write the square numbers in the same order as the letters

4

Step 4: For decoding, take the square root of each number

5

Step 5: Convert the square root (position) back to a letter

6

Step 6: Verify the squares are perfect squares

7

Step 7: Present the coded square sequence or decoded word

Pro Strategy: Memorize squares for positions 1-26. For decoding, recognize perfect squares and their square roots. The square root of the code gives the letter position.

Example Problem

Example: Code 'BAD' using square coding. Solution: Step 1: B=2, A=1, D=4 Step 2: 2²=4, 1²=1, 4²=16 Step 3: Code = 4,1,16 Answer: 4,1,16

Pro Tips & Tricks

  • Squares: 1²=1, 2²=4, 3²=9, 4²=16, 5²=25, 6²=36, 7²=49, 8²=64, 9²=81, 10²=100, 11²=121, 12²=144, 13²=169, 14²=196, 15²=225, 16²=256, 17²=289, 18²=324, 19²=361, 20²=400, 21²=441, 22²=484, 23²=529, 24²=576, 25²=625, 26²=676
  • A=1, B=4, C=9, D=16, E=25, F=36, G=49, H=64, I=81, J=100, K=121, L=144, M=169
  • N=196, O=225, P=256, Q=289, R=324, S=361, T=400, U=441, V=484, W=529, X=576, Y=625, Z=676
  • Square codes for common words: CAT → 9,1,400; DOG → 16,225,49; SUN → 361,441,676
  • The difference between consecutive squares is odd numbers (2n+1)
  • For decoding, use the square root function

Shortcut Methods to Solve Faster

Square code = position²
Position = √(square code)
Perfect squares end with 0,1,4,5,6,9
If code ends with 00, square root ends with 0
If code ends with 25, square root ends with 5
If code ends with 1, square root ends with 1 or 9
If code ends with 4, square root ends with 2 or 8
If code ends with 9, square root ends with 3 or 7
If code ends with 6, square root ends with 4 or 6

Common Mistakes to Avoid

Using n instead of n² (forgetting to square)
Using A=0 instead of A=1 (affects all squares)
Not recognizing perfect squares for decoding
Miscalculating squares for larger positions

Ready to Master Square Coding?

Start with Worksheet 1 and work your way up to expert level! Each worksheet includes:

20 practice questions
Detailed solutions
Step-by-step explanations
Start Practicing Now