Speed Math Tricksfor Class 8
Advanced speed calculation tricks for Class 8 — squares, cubes, and algebraic shortcuts that save critical exam time and build mathematical intuition.
Speed TricksYou'll Master
Each trick includes step-by-step instructions and real examples. Practice these daily and watch your speed multiply.
Square Numbers Near 50
For numbers close to 50, use the base-50 method
Steps
- 1(50+n)² = 2500 + 100n + n²
- 2Example: 53² → n=3
- 32500 + 300 + 9 = 2809
- 4Works perfectly for 45-55 range
Example
53² = 2809 | 48² = 2304
Cube Shortcut
Use (a+b)³ expansion for cubes near round numbers
Steps
- 123³ = (20+3)³
- 2= 8000 + 3(400)(3) + 3(20)(9) + 27
- 3= 8000 + 3600 + 540 + 27
- 4= 12,167
Example
23³ = 12,167
Algebraic Identity Speed
Use (a+b)(a-b) = a²-b² for quick multiplication
Steps
- 147 × 53 = (50-3)(50+3)
- 2= 50² - 3² = 2500 - 9
- 3= 2491
- 4Any numbers equidistant from a round number
Example
47 × 53 = 2500 - 9 = 2491
Exam Tips for Class 8
Memorize squares up to 30 for instant recall
Use algebraic identities as calculation shortcuts
Cross-verify using digit sum method
Practice timed drills: 20 problems in 5 minutes
Calculate Faster Than a Calculator
These tricks are just the beginning. In live classes, Aarti Ma'am teaches 50+ advanced speed techniques with daily practice drills.
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