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View AllUltimate WBBSE Math Formula Sheet
Welcome to Mehena, your ultimate digital educational platform. To help students prepare for the WBBSE Madhyamik Class 10 exams, we have compiled a complete, chapter-wise list of essential mathematical formulas covering Arithmetic, Algebra, Mensuration, Trigonometry, and Statistics.
1. Arithmetic (পাটিগণিত)
Simple Interest (সরল সুদ)
› I = (P × R × T) / 100
Compound Interest Amount (সমূল চক্রবৃদ্ধি)
› A = P(1 + R/100)n
Uniform Rate of Increase (সমহার বৃদ্ধি)
› A = P(1 + R/100)n
Uniform Rate of Decrease (সমহার হ্রাস)
› A = P(1 - R/100)n
2. Algebra (বীজগণিত)
Quadratic Equation Roots (শ্রীধর আচার্যের সূত্র)
› x = [-b ± √(b2 - 4ac)] / 2a
Discriminant (নিরূপক)
› Δ = b2 - 4ac
Variation (ভেদ) (Direct & Inverse)
› x ∝ y ⇒ x = ky (k ≠ 0)
a³ + b³ Formula
› a3 + b3 = (a+b)(a2 - ab + b2)
3. Mensuration (পরিমিতি)
Cuboid Volume (আয়তঘনের আয়তন)
› V = l × w × h
Cylinder Volume (লম্ব বৃত্তাকার চোঙের আয়তন)
› V = πr2h
Cylinder Curved Surface (চোঙের বক্রতল)
› S = 2πrh
Sphere Volume (গোলকের আয়তন)
› V = 4/3 πr3
Cone Volume (লম্ব বৃত্তাকার শঙ্কুর আয়তন)
› V = 1/3 πr2h
Cone Slant Height (শঙ্কুর তির্যক উচ্চতা)
› l = √(r2 + h2)
4. Trigonometry (ত্রিকোণমিতি)
Basic Identity 1
› sin2θ + cos2θ = 1
Basic Identity 2
› sec2θ - tan2θ = 1
Basic Identity 3
› csc2θ - cot2θ = 1
Complementary Angles (পূরক কোণ)
› sin(90° - θ) = cosθ
Standard Angles Value Chart (আদর্শ কোণের মান)
| Angles (θ) | 0° | 30° | 45° | 60° | 90° |
|---|---|---|---|---|---|
| sin θ | 0 | 12 |
1√2 |
√32 |
1 |
| cos θ | 1 | √32 |
1√2 |
12 |
0 |
| tan θ | 0 | 1√3 |
1 | √3 | ∞ |
5. Statistics (রাশিবিজ্ঞান)
Direct Mean (প্রত্যক্ষ পদ্ধতিতে গড়)
› x̄ = Σfixi / Σfi
Assumed Mean (কল্পিত গড় পদ্ধতি)
› x̄ = a + (Σfidi / Σfi)
Mode (সংখ্যাগুরু মান)
› Z = l + [(f1 - f0) / (2f1 - f0 - f2)] × h