Approximate Values
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Cheat Sheets
Study MaterialApproximate Values Cheat Sheet
Approximate Values is one of the most useful quick-calculation topics in Quantitative Aptitude and is frequently used in SSC, Banking, Railway, UPSC, Defence, Insurance, and other competitive examinations.
This cheat sheet helps candidates memorize important square roots, cube roots, reciprocals, percentage conversions, and mathematical constants for faster calculations, simplifications, and approximation-based problem solving in exams.
About This Cheat Sheet
Complete guide to Approximate Values for competitive exams:
Important Square Roots
- √2 = 1.414
- √3 = 1.732
- √5 = 2.236
- √10 = 3.162
Important Cube Roots
- ∛2 = 1.260
- ∛3 = 1.442
- ∛5 = 1.710
- ∛10 = 2.154
Values of π and e
- π = 3.14
- π = 22/7
- π = 3.1416
- e = 2.718
Reciprocal Approximations
Quick decimal approximations of common fractions for fast calculations.
Percentage Approximations
- 33.33% = 1/3
- 66.67% = 2/3
- 25% = 1/4
- 75% = 3/4
RMS Approximation
- √[(a²+b²)/2]
- Root Mean Square
- Approximation Concepts
- Fast Calculation Methods
BODMAS Approximations
- Simplification Tricks
- Approximate Calculations
- Fast Arithmetic
- Competitive Exam Shortcuts
Shortcut Tricks
Fast memorization methods, approximation tricks, and exam-oriented calculation techniques.
Topics Covered
| Topic | Description |
|---|---|
| Square Root Approximations | Approximate values of common square roots |
| Cube Root Approximations | Approximate values of common cube roots |
| Value of π | Common approximations of pi |
| Value of e | Approximate value of Euler's number |
| Reciprocal Values | Decimal forms of common fractions |
| Percentage Conversions | Fraction to percentage approximations |
| RMS Approximation | Root Mean Square approximation concept |
| BODMAS Simplification | Approximate arithmetic calculations |
| Fast Arithmetic | Quick calculation methods |
| Square Root Memory Tricks | Memorization shortcuts for roots |
| Cube Root Memory Tricks | Memorization shortcuts for cube roots |
| Fraction Approximation | Converting fractions into decimals quickly |
| Percentage Approximation | Fast percentage calculations |
| Shortcut Tricks | Fast solving methods for exams |
Why This Cheat Sheet is Important
Improve Calculation Speed
↓
Memorize Important Values
↓
Apply Approximation Techniques
↓
Solve Questions Faster
↓
Score Better in Exams
Competitive Exams Covered
- SSC CGL
- SSC CHSL
- Bank PO & Clerk
- Railway Exams
- UPSC CSAT
- Defence Exams
- Insurance Exams
- State Government Exams
- MBA Entrance Exams
Quick Examples
Example 1:
Approximate the value of:
√2 + √3
√2 ≈ 1.414
√3 ≈ 1.732
Required value ≈ 3.146
Example 2:
Find approximate value of:
22/7
22/7 ≈ 3.14
Approximate value of π
Example 3:
Convert 33.33% into fraction approximation.
33.33% ≈ 1/3
Example 4:
Find approximate value of:
1/6
1/6 ≈ 0.1667
Example 5:
Approximate the cube root of 5.
∛5 ≈ 1.710
Final Takeaway
This Approximate Values Cheat Sheet provides complete revision material for all major approximations frequently used in competitive examinations. Regular practice of roots, reciprocals, percentage approximations, and shortcut techniques can significantly improve speed, accuracy, and mental calculation ability.
It is highly useful for quick revision before exams and helps candidates strengthen the foundation of Quantitative Aptitude and Fast Arithmetic.
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