Quick Trick to Square 2-Digit Numbers Ending in 5, 4, 6 & 1

Squaring two-digit numbers can seem tricky, but with the right shortcuts, you can perform calculations quickly and accurately. Here, we’ll explore easy methods to find squares of numbers ending in 5, 4, 6, and 1. These tricks can be particularly useful for students preparing for competitive exams and professionals looking to improve mental math skills.

1. Squaring Numbers Ending in 5

Formula: If a number ends in 5, the square follows a simple pattern:

(N5)2=N×(N+1)∣25(N5)^2 = N \times (N + 1) | 25

Example:

25²

1. Take the first digit (2) and multiply it by its next integer: 2×3=62 \times 3 = 6
2. Attach 25 at the end: 625

Shortcut Visualization: [Insert an image of numbers ending in 5 squared, showing the step-by-step approach]

2. Squaring Numbers Ending in 4

Formula: (N4)2=(N2−N)×100+16(N4)^2 = (N^2 – N) \times 100 + 16

Example:

24²

1. Square the base number (2² = 4)
2. Subtract the base: 4 – 2 = 2
3. Multiply by 100: 200
4. Add 16: 576

Shortcut Visualization: [Insert an image showcasing the process for numbers ending in 4]

3. Squaring Numbers Ending in 6

Formula: (N6)2=(N2+N)×100+36(N6)^2 = (N^2 + N) \times 100 + 36

Example:

26²

1. Square the base number (2² = 4)
2. Add the base: 4 + 2 = 6
3. Multiply by 100: 600
4. Add 36: 676

Shortcut Visualization: [Insert an image showing the squaring trick for numbers ending in 6]

4. Squaring Numbers Ending in 1

Formula: (N1)2=N2+2N+1(N1)^2 = N^2 + 2N + 1

Example:

21²

1. Square the base number (2² = 4)
2. Multiply by 2 and add: 4 + 2(2) = 8
3. Add 1: 441

Shortcut Visualization: [Insert an image breaking down the calculation for numbers ending in 1]

Conclusion

Mastering these tricks will save you time and effort in exams and daily calculations. Practice with different numbers, and soon, squaring will become second nature!