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Overview of Class 12 Daily Practice Papers

Daily practice is crucial for JEE aspirants, especially for Class 12 students who face advanced topics in Mathematics. StudentBro.in offers Class 12 daily practice papers that cover all important topics in the JEE syllabus. These papers are designed to improve problem-solving skills, accuracy, and time management. By practicing a few questions daily, students can strengthen their understanding, recall formulas quickly, and build confidence for both JEE Main and Advanced exams.


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Topics Covered in Daily Practice Papers

  • Algebra: Matrices, Determinants, Complex Numbers, Binomial Theorem

  • Calculus: Limits, Derivatives, Integrals, Differential Equations, Applications of Derivatives and Integrals

  • Trigonometry: Trigonometric Functions, Identities, Equations, Inverse Functions

  • Coordinate Geometry: Straight Lines, Circles, Parabolas, Ellipses, Hyperbolas

  • Probability & Statistics: Probability Rules, Conditional Probability, Mean, Variance, Standard Deviation

  • Vectors & 3D Geometry: Vector Algebra, Dot & Cross Products, Equations of Lines and Planes

  • Mechanics & Physics-Related Maths: Kinematics, Dynamics, Motion Problems (as applied in JEE Maths questions)


Benefits of Daily Practice Papers

  • Improves understanding of Class 12 Maths concepts

  • Enhances speed and accuracy in solving questions

  • Reinforces formulas and problem-solving strategies

  • Identifies weak areas for focused revision

  • Prepares students for the types and patterns of JEE Main & Advanced questions


Structure of Daily Practice Papers

  • Section A – Algebra & Calculus: 10–15 questions with increasing difficulty

  • Section B – Trigonometry & Coordinate Geometry: 10–12 questions focusing on application

  • Section C – Probability, Vectors, and 3D Geometry: 5–10 conceptual and numerical questions

  • Time Duration: 1–2 hours to simulate exam conditions

  • Marking Scheme: 4 marks per correct answer, –1 for wrong answers (self-assessment option)


Tips to Maximize Benefit from Daily Practice

  • Solve papers under exam-like conditions to improve time management

  • Review mistakes immediately and revise formulas or concepts

  • Start with easier questions, then attempt challenging problems

  • Maintain a notebook with all solved questions and corrections

  • Track weekly progress to measure improvement and adjust preparation strategy


Sample Daily Practice Questions

Algebra:

  1. Solve the matrix equation AX = B for X

  2. If α and β are roots of x² – 3x + 2 = 0, find α³ + β³

Calculus:

  1. Find derivative of f(x) = x² sinx

  2. Evaluate ∫(x³ + 2x² – 5) dx

Trigonometry:

  1. Solve tan²x – 3tanx + 2 = 0 for 0 ≤ x ≤ 2π

  2. Prove cos³A + sin³A = (cosA + sinA)(1 – sinA cosA)

Coordinate Geometry:

  1. Find equation of tangent to circle x² + y² – 4x – 6y + 9 = 0

  2. Find vertex and focus of parabola y² = 8x

Probability & Statistics:

  1. A box contains 3 red, 2 blue, and 5 green balls. Probability of selecting 1 red and 1 green

  2. Find mean and variance of 1, 3, 5, 7, 9

Vectors & 3D Geometry:

  1. Find the angle between vectors a = i + 2j + k and b = 2i – j + 2k

  2. Equation of line passing through (1,2,3) parallel to vector 2i + j + k

Mechanics & Applied Problems:

  1. A particle moves under acceleration a = 2t m/s². Find velocity after 5 s if initial velocity is zero

  2. A block slides on an inclined plane with acceleration 3 m/s². Find force acting on it if mass is 4 kg


How Daily Practice Improves JEE Performance

  • Reinforces understanding of advanced Class 12 Maths topics

  • Builds speed in solving both numerical and theoretical problems

  • Helps memorize formulas and common problem-solving techniques

  • Encourages time management and accuracy under exam conditions

  • Bridges gap between theory and JEE-style application problems


Conclusion

JEE Maths Class 12 Daily Practice Papers from StudentBro.in are an essential resource for aspirants aiming to excel in entrance exams. Covering all major topics, these papers enhance problem-solving skills, accuracy, and speed. By practicing daily, students can develop confidence, identify weak areas, and prepare effectively for JEE Main & Advanced exams. StudentBro.in offers step-by-step solutions, tips, and structured papers to ensure consistent improvement and mastery of Class 12 Maths concepts.