How to find square of 2-digit numbers ending with 5, 4, 6 and 1

How to find square of 2-digit numbers ending with 5, 4, 6 and 1

Find the Square of 2-Digit Numbers Ending in 5, 4, 6, and 1

Introduction

Squaring 2-digit numbers can seem challenging, but with simple tricks, you can quickly compute them in your head. In this guide, we’ll cover shortcuts to find squares of numbers ending in 5, 4, 6, and 1. These mental math techniques will help students, competitive exam aspirants, and math enthusiasts.


Squaring Numbers Ending in 5

For any 2-digit number ending in 5 (e.g., 25, 35, 45), use this simple trick:

Formula:

(AB)² = A × (A + 1) | 25

Example:

Find (35)²:

  1. Take the first digit (3) and multiply it by the next number (4):
    3 × 4 = 12
  2. Append 25 at the end:
    35² = 1225

Squaring Numbers Ending in 4

For numbers ending in 4, use this method:

Formula:

(A4)² = A × (A + 1) × 100 + 16

Example:

Find (24)²:

  1. Take the first digit (2) and multiply it by the next number (3):
    2 × 3 = 6
  2. Multiply by 100: 6 × 100 = 600
  3. Add 16: 600 + 16 = 616
    24² = 576

Squaring Numbers Ending in 6

For numbers ending in 6, apply this formula:

Formula:

(A6)² = A × (A + 1) × 100 + 36

Example:

Find (26)²:

  1. Multiply the first digit (2) by the next number (3):
    2 × 3 = 6
  2. Multiply by 100: 6 × 100 = 600
  3. Add 36: 600 + 36 = 676
    26² = 676

Squaring Numbers Ending in 1

For numbers ending in 1, follow this technique:

Formula:

(A1)² = A × A × 100 + 2A × 10 + 1

Example:

Find (21)²:

  1. Square the first digit (2): 2² = 4
  2. Multiply by 100: 4 × 100 = 400
  3. Multiply first digit by 2 and then by 10: 2 × 2 × 10 = 40
  4. Add 1: 400 + 40 + 1 = 441
    21² = 441

Conclusion

Using these tricks, you can mentally square numbers ending in 5, 4, 6, and 1 within seconds. These techniques are particularly useful for competitive exams and daily calculations. Master them to boost your mental math skills!

 Find the Square of 2-Digit Numbers Ending in 5, 4, 6, and 1