Bank Exam Speed Maths Master Series – Page 4
Cubes Tricks & Fast Cube Calculation Methods
Learn cube tricks, shortcut formulas, and fast cube calculation methods to improve speed and accuracy for Bank Exams, SSC, Railways, Insurance, and Competitive Exams.
Importance of Cubes in Competitive Exams
Cubes are very important in:
- Simplification
- Approximation
- Number Series
- Quantitative Aptitude
- Data Interpretation
Fast cube calculations improve:
- Speed
- Accuracy
- Mental calculation ability
🎯 Why Learn Cube Tricks?
Students who memorize cubes and cube shortcuts can solve aptitude questions quickly.
Instead of multiplying:
23 × 23 × 23
Use cube methods.
✅ Faster Solution
Important Cubes to Memorize
| Number | Cube |
|---|---|
| 1³ | 1 |
| 2³ | 8 |
| 3³ | 27 |
| 4³ | 64 |
| 5³ | 125 |
| 6³ | 216 |
| 7³ | 343 |
| 8³ | 512 |
| 9³ | 729 |
| 10³ | 1000 |
Basic Cube Formula
This formula helps calculate cubes quickly.
🔥 Trick 1: Cube of Numbers Ending in 5
Example: 15³
15 × 15 × 15
15² = 225
225 × 15 = 3375
✅ Answer = 3375
Trick 2: Cube Near 100
Example: 101³
Difference from 100 = 1
101³ = 1030301
✅ Answer = 1030301
Example: 99³
Difference from 100 = 1
99³ = 970299
✅ Answer = 970299
Trick 3: Cube Pattern Observation
| Unit Digit | Cube Ends With |
|---|---|
| 1 | 1 |
| 2 | 8 |
| 3 | 7 |
| 4 | 4 |
| 5 | 5 |
| 6 | 6 |
| 7 | 3 |
| 8 | 2 |
| 9 | 9 |
Cube Root Shortcut
Example: Find cube root of 2744
Step 1 → Last digit = 4
Cube root last digit = 4
Step 2 → Nearest cube below 2744 = 1000
Cube root = 10+
✅ Answer = 14
Because: 14³ = 2744
Fast Cube Memorization
| Number | Cube |
|---|---|
| 11 | 1331 |
| 12 | 1728 |
| 13 | 2197 |
| 14 | 2744 |
| 15 | 3375 |
| 16 | 4096 |
| 17 | 4913 |
| 18 | 5832 |
| 19 | 6859 |
| 20 | 8000 |
Important Cube Tricks
| Topic | Shortcut |
|---|---|
| Cube Formula | Expansion Method |
| Cube Root | Unit Digit Pattern |
| Near 100 | Base Method |
| Memorization | Daily Revision |
Practice Questions
- 12³ = ?
- 14³ = ?
- 18³ = ?
- Cube root of 3375 = ?
- Cube root of 4913 = ?
✅ Answers
- 1728
- 2744
- 5832
- 15
- 17
Practice cubes, cube roots, unit digit patterns, and formula expansion daily to improve simplification speed, approximation solving, and mental calculation ability.
Bank Exam Speed Maths Master Series
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