🔢 Square Tricks for Competitive Exams
1️⃣ Squares Ending With 5
Formula:
If a number ends with 5 → example **25, 35, 45...**
Remove 5 → take first digit → multiply with next digit → add 25.
Example: 35²
3 × (3+1) = 12
Add 25 → 1225
3 × (3+1) = 12
Add 25 → 1225
2️⃣ Near 100 Square Trick
If a number is close to 100 → use: (100 + x)² = 10000 + 200x + x²
Example: 102²
102 is 2 more than 100 → x=2
10000 + 200×2 + 4 = 10404
102 is 2 more than 100 → x=2
10000 + 200×2 + 4 = 10404
3️⃣ Square of Numbers Near 50
Formula: (50 + x)² = 2500 + 100x + x²
Example: 53²
x = 3
2500 + 300 + 9 = 2809
x = 3
2500 + 300 + 9 = 2809
4️⃣ Square of 2-digit Numbers (Easy Method)
Formula: (a+b)² = a² + 2ab + b² (Split numbers)
Example: 28²
a=20, b=8
20² = 400
2×20×8 = 320
8² = 64
Total = 784
a=20, b=8
20² = 400
2×20×8 = 320
8² = 64
Total = 784