Bank Exam Speed Maths Master Series Page 3 | Squares Tricks & Fast Square Calculation Methods

 

 Bank Exam Speed Maths Master Series – Page 3

Squares Tricks & Fast Square Calculation Methods

Shaktimatha Learning – Speed Maths Academy
Learn square tricks, shortcut formulas, and mental maths methods to improve speed and accuracy for Bank Exams, SSC, Railways, Insurance, and Competitive Exams.

 Importance of Squares in Competitive Exams

Squares are one of the most important topics in:

• Simplification
• Approximation
• Quadratic Equations
• Data Interpretation
• Number Series

Fast square calculation improves:

• Speed
• Accuracy
• Confidence

🎯 Why Learn Square Tricks?

Students who know square shortcuts can solve questions much faster.

 Example:

Normal Method → 48 × 48
Speed Method → Use square trick

✅ Faster & Easier

 Important Squares to Memorize

Range	Importance
1² to 20²	Must Learn
21² to 30²	Very Important
31² to 50²	Competitive Advantage

 Basic Square Formula

0

This formula is very useful for fast square calculations.

🔥 Trick 1: Square of Numbers Ending in 5

If a number ends with 5:

1

Example 1: 25²

Step 1 → 2 × 3 = 6
Step 2 → Write 25

✅ Answer = 625

Example 2: 45²

Step 1 → 4 × 5 = 20
Step 2 → Write 25

✅ Answer = 2025

Example 3: 85²

Step 1 → 8 × 9 = 72
Step 2 → Write 25

✅ Answer = 7225

 Trick 2: Square Near 100

2

Example: 98²

Difference from 100 = 2

Step 1 → 98 − 2 = 96
Step 2 → 2² = 04

✅ Answer = 9604

Example: 103²

Difference from 100 = 3

Step 1 → 103 + 3 = 106
Step 2 → 3² = 09

✅ Answer = 10609

 Trick 3: Square of Two-Digit Numbers

Example: 32²

3

32² = (30 + 2)²

= 30² + 2×30×2 + 2²

= 900 + 120 + 4

✅ Answer = 1024

 Fast Memorization Pattern

Number	Square
11	121
12	144
13	169
14	196
15	225
16	256
17	289
18	324
19	361
20	400

 Important Square Shortcuts

Type	Shortcut
Ending in 5	Multiply first digit with next digit + 25
Near 100	Base Method
Small Numbers	Formula Expansion

 Practice Questions

1. 35² = ?
2. 65² = ?
3. 98² = ?
4. 104² = ?
5. 42² = ?

✅ Answers

1. 1225
2. 4225
3. 9604
4. 10816
5. 1764

🎯 Preparation Strategy:
Practice squares daily using shortcut methods and formula expansion techniques to improve simplification speed, calculation accuracy, and confidence.

“Fast Calculations Come from Smart Practice, Not Hard Calculations.”

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Bank Exam Speed Maths Master Series