Raah UPSC

Raah UPSC Exam Readiness

Daily 10 Calculation Drill

10 structured questions spanning Tables, Squares, Cubes, Powers, Multipliers & Triplet logic.

Ready for Today

Why Daily 10 Practice?

Gradually ramps difficulty without extreme "Ramanujan" math.
Focuses on core competitive exam multipliers (+20% = × 6/5, −20% = × 4/5).
Builds instant recall for Tables 1–40, Squares up to 50, Cubes up to 21 & 25.
Reinforces Pythagorean Triplets and 3-Digit multiplication shortcuts.

Handcrafted Reference Notes

Complete Calculation Cheat Sheets

All essential tables, powers, percentage fractions, triplets & square roots in one place.

Multiplication Tables (1–40)

Squares (up to 50) & Cubes (1–21 & 25)

Squares (1² to 50²) Key: 25²=625, 35²=1225, 45²=2025

Cubes (1³ to 21³ & 25³) Key: 5³=125, 6³=216

Powers & Golden Equivalences

Powers of 2 (Up to 2¹²) & Key Identities

2¹ = 2, 2² = 4, 2³ = 8, 2⁴ = 16

2⁵ = 32, 2⁶ = 64, 2⁷ = 128, 2⁸ = 256

2⁹ = 512, 2¹⁰ = 1024, 2¹¹ = 2048, 2¹² = 4096

Key Identity Rule:
2⁶ = 4³ = 8² = 64
2¹² = 4⁶ = 16³ = 64² = 4096

Powers of 3, 5 & 6

Powers of 3 (up to 3⁶):
3¹=3 | 3²=9 | 3³=27 | 3⁴=81 | 3⁵=243 | 3⁶=729

Powers of 5 (up to 5⁶):
5¹=5 | 5²=25 | 5³=125 | 5⁴=625 | 5⁵=3125 | 5⁶=15625

Powers of 6 (up to 6⁴):
6¹=6 | 6²=36 | 6³=216 | 6⁴=1296

Percentage vs Fraction & Multiplier Cards

Standard Value

20% = 1/5

+20% Increase

Multiply by 6/5 (1.2)

−20% Decrease

Multiply by 4/5 (0.8)

Pythagorean Triplets & Important Square Roots

Essential Exam Triplets (a² + b² = c²)

Important Square Roots (Up to 2 Decimals)

√2 = 1.414... (Approx: 1.41) √200 ≈ 14.14

√3 = 1.732... (Approx: 1.73) √300 ≈ 17.32

√5 = 2.236... (Approx: 2.24) √500 ≈ 22.36

Quick Root Approximation Shortcut:

√N ≈ √S + (N - S)/(2 × √S)
e.g. √27 ≈ √25 + (2)/(2 × 5) = 5 + 0.2 = 5.2 (Exact: 5.196)

Custom Drill Workshop

Custom Speed Test Generator

Tailor the exact numbers, ranges, and timing according to your study targets.

Test Settings

Select Topics

Tables (1–40) Squares (1–50) Cubes (1–21, 25) Powers (2, 3, 5, 6) Percentage & Fractions Addition / Subtraction / 3-Digit

Number of Questions

Timer per Question

Configure your drill on the left and click Generate to start!