All Important Formulas of Maths for WBJEE Exam : Students preparing for the WBJEE exam require a comprehensive formula sheet for quick revision and effective problem-solving. The "All Important Formulas of Maths for WBJEE Exam" PDF is designed to provide easy access to essential formulas aligned with the WBJEE Maths Syllabus 2025 and WBJEE Exam Pattern , covering core topics like algebra, trigonometry, calculus, and coordinate geometry.
This PDF helps students save time by consolidating all critical formulas in one place, reducing the need to flip through multiple textbooks. Using a formula sheet also improves recall during practice and strengthens understanding of the relationships between mathematical concepts, making it an indispensable tool for mastering complex problems. With this PDF, students can enhance their speed, accuracy, and confidence as they prepare for the WBJEE exam.All Important Formulas of Maths for WBJEE Exam | |
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Topic | Formula |
Quadratic Equations | Roots: x = (-b ± √(b² - 4ac)) / 2a |
Arithmetic Progression | aₙ = a + (n-1)d |
Geometric Progression | aₙ = ar^(n-1) |
Sum of AP | Sₙ = (n/2) [2a + (n-1)d] |
Sum of GP | Sₙ = a (rⁿ - 1) / (r - 1) for r ≠ 1 |
Pythagorean Identities | sin²θ + cos²θ = 1, 1 + tan²θ = sec²θ, 1 + cot²θ = csc²θ |
Angle Sum and Difference | sin(A ± B) = sinA cosB ± cosA sinB, cos(A ± B) = cosA cosB ∓ sinA sinB |
Double Angle Formulas | sin 2A = 2 sin A cos A, cos 2A = cos² A - sin² A |
Derivatives | d/dx [xⁿ] = nxⁿ⁻¹, d/dx [sin x] = cos x, d/dx [cos x] = -sin x |
Integrals | ∫ xⁿ dx = (xⁿ⁺¹) / (n+1) + C, ∫ (1/x) dx = ln |
Distance Formula | d = √((x₂ - x₁)² + (y₂ - y₁)²) |
Midpoint Formula | M = ((x₁ + x₂)/2, (y₁ + y₂)/2) |
Slope of a Line | m = (y₂ - y₁) / (x₂ - x₁) |
Equation of a Line | y - y₁ = m(x - x₁) |
Probability | P(E) = (Number of favorable outcomes) / (Total number of outcomes) |
Mean (Arithmetic Average) | x̄ = Σxᵢ / n |
Variance | σ² = Σ (xᵢ - x̄)² / n |
Standard Deviation | σ = √σ² |
All Important Formulas of Maths for WBJEE Exam PDF
Integrate Formulas into Daily Practice - Instead of merely memorizing formulas, apply them daily in practice problems. Each time you solve a problem, refer to the formula sheet to see how the formula connects to the question. This approach reinforces understanding and deepens your grasp of formula applications.
Understand the Context and Derivation - Understanding a formula’s origin and derivation can make it much easier to remember. While the formula sheet provides a quick reference, revisiting the derivations from your textbooks helps solidify your understanding. For example, knowing why Sn = n/2 [2a+(n-1)d] is the formula for the sum of an arithmetic progression reinforces both the concept and the formula.
Categorize Formulas by Topics for Focused Revision - The PDF categorizes formulas by topics like algebra, trigonometry, and calculus. For targeted revision, focus on one category at a time. Dedicate time to thoroughly understand and apply all formulas under a specific topic before moving on to the next. This segmentation makes the learning process structured and efficient.
Utilize Mnemonics and Associations for Memory Aid - For instance, to remember the Quadratic Formula: x = (-b ± √(b² - 4ac)) / 2a, you could use the mnemonic "Big Bears Don’t Forget Apples" (representing the terms in the formula: b, b², -4ac, 2a). Associating each part of the formula with a simple phrase can help you recall the sequence of terms more easily.
Practice with Timed Mock Tests Using the Formula Sheet Initially - During the initial stages of preparation, allow yourself to use the formula sheet while attempting timed mock tests. This habit not only familiarizes you with the formulas but also trains you to quickly locate and apply them. Gradually, as you progress, try taking the tests without the formula sheet to test your memory and speed.
Revise Formulas Daily for Consistent Retention - Regular, spaced-out revision is essential for retaining formulas in memory. Dedicate a few minutes each day to go over the formulas you’ve learned. Reviewing them consistently over time helps ensure you don’t need to relearn them at the last minute.
Identify and Focus on High-Weightage Topics - With the WBJEE exam pattern, certain topics may have higher weightage. Use this insight to prioritize studying formulas related to those topics more intensively. For example, if calculus and coordinate geometry are key areas, invest extra time in mastering the formulas for derivatives, integrals, and distance calculations in geometry.
Keep the Formula Sheet Visible in Your Study Space - Keep the printed PDF formula sheet in front of your study area so you can glance at it regularly. Passive exposure, combined with active use, helps internalize formulas more naturally, making recall faster during the exam.
Apply Formulas in Real-World Examples (Where Possible) - Applying formulas to real-life examples or scenarios (like calculating probability or distance) can add relevance and make learning more engaging. This practice is particularly useful for statistics and probability topics.
Other Links Related to WBJEE 2025 | |
WBJEE 2025 | WBJEE Syllabus 2025 |
WBJEE Apply Online 2025 | WBJEE Eligibility Criteria 2025 |
WBJEE Previous Year Question Papers |