Class 12 Mathematics Online Tests
Free chapter-wise tests based on latest CBSE syllabus
Unit I: Relations and Functions (08 Marks)
Chapter 1: Relations
Topics: Ordered pairs, Cartesian products, types of relations: reflexive, symmetric, transitive, and equivalence relations.
Take Test More TestsChapter 2: Functions
Topics: One-one and onto functions, composition of functions, invertible functions, binary operations.
Take Test More TestsChapter 3: Inverse Trigonometric Functions
Topics: Domains, ranges, principal value branches, graphs, and properties of inverse trigonometric functions.
Take Test More TestsUnit II: Algebra (10 Marks)
Chapter 4: Matrices
Topics: Types of matrices, operations, properties, transpose, symmetric and skew-symmetric matrices, invertible matrices.
Take TestsChapter 5: Determinants
Topics: Determinants up to order 3, properties, minors, cofactors, applications, adjoint and inverse, solving systems of equations.
Take TestsUnit III: Calculus (35 Marks)
Chapter 6: Continuity and Differentiability
Topics: Continuity, differentiability, derivatives of composite, implicit, inverse trig functions, second-order derivatives, MVT and Rolle’s Theorem.
Take TestsChapter 7: Applications of Derivatives
Topics: Increasing/decreasing functions, tangents and normals, maxima and minima, real-life applications.
Take TestsChapter 8: Integrals
Topics: Indefinite and definite integrals, properties, basic integration techniques, substitution, parts, partial fractions.
Take TestsChapter 9: Applications of Integrals
Topics: Area under curves (lines, parabolas, circles), area between two curves.
Take TestsChapter 10: Differential Equations
Topics: Formation, order, degree, general/particular solutions, variable separable method, linear equations.
Take TestsUnit IV: Vectors and Three-Dimensional Geometry (14 Marks)
Chapter 11: Vectors
Topics: Magnitude, direction, types of vectors, operations, dot and cross product, geometric interpretation.
Take TestsChapter 12: Three-Dimensional Geometry
Topics: Direction cosines and ratios, equations of lines and planes, coplanarity, angles, shortest distance.
Take TestsUnit V: Linear Programming (05 Marks)
Chapter 13: Linear Programming
Topics: Formulation, feasible and infeasible regions, graphical method, optimization of objective function.
Take TestsUnit VI: Probability (08 Marks)
Chapter 14: Probability
Topics: Conditional probability, Bayes’ theorem, random variables, probability distributions, Bernoulli trials, binomial distribution.
Take TestOther Free MCQ Online Tests Class 12 Mathematics
Free mcq online tests class 12 Relations and Functions
Free mcq online tests class 12 Inverse Trigonometric Functions
Free mcq online tests class 12 Matrices
Determinants free mcq online tests class 12
Free mcq online tests class 12 Continuity and Differentiability
Free mcq online tests class 12 Applications of Derivatives
Free mcq online tests class 12 Integrals
Free mcq online tests class 12 Applications of Integrals
Free mcq online tests class 12 Differential Equations
Free mcq online tests class 12 Vector Algebra
Free mcq online tests class 12 Three Dimensional Geometry
Free mcq online tests class 12 Linear Programming
Free mcq online tests class 12 Probability
Frequently Asked Questions (FAQ’s)
Questions
What are free MCQ online tests for Class 12 Relations and Functions and how do they help students?
Answers
Free MCQ online tests class 12 Relations and Functions are designed to help students practice one of the most conceptual chapters of Class 12 Mathematics. These online tests include objective questions based on relations, types of functions, domain, range, and composition of functions. By attempting free MCQ online tests class 12, students can improve conceptual clarity, understand CBSE exam patterns, and strengthen problem-solving speed. Regular practice also boosts confidence and helps identify weak areas before final board examinations.
Questions
How useful are free MCQ online tests class 12 Inverse Trigonometric Functions for board exam preparation?
Answers
Free MCQ online tests class 12 Inverse Trigonometric Functions are extremely useful for mastering formulas, properties, and standard values. This chapter often carries scoring questions in CBSE exams. Practicing inverse trigonometric functions free MCQ online tests class 12 helps students revise concepts like principal values, domains, ranges, and identities efficiently. These online tests are aligned with the latest syllabus and help students prepare for competitive exams while improving accuracy and time management.
Questions
Why should students attempt free MCQ online tests class 12 Matrices regularly?
Answers
Free MCQ online tests class 12 Matrices help students practice important topics such as types of matrices, matrix operations, transpose, and inverse of matrices. Since matrices involve step-wise calculations, MCQ practice improves speed and accuracy. Attempting free MCQ online tests class 12 Mathematics regularly allows students to identify frequently asked questions and common mistakes. These tests are especially helpful for last-minute revision and concept reinforcement before CBSE board exams.
Questions
What is the importance of determinants free MCQ online tests class 12?
Answers
Determinants free MCQ online tests class 12 focus on a crucial chapter that is closely related to matrices and linear equations. These tests help students practice properties of determinants, evaluation methods, and applications such as finding area and solving systems of equations. By attempting determinants free MCQ online tests class 12, students can enhance conceptual understanding and problem-solving efficiency, which is essential for scoring well in Class 12 Mathematics board exams.
Questions
How do free MCQ online tests class 12 Continuity and Differentiability improve performance?
Answers
Free MCQ online tests class 12 Continuity and Differentiability help students master limits, continuity, differentiability, and standard derivatives. This chapter forms the foundation of calculus and has significant weightage in CBSE exams. Practicing free MCQ online tests class 12 Mathematics enables students to quickly recall formulas, understand graphical interpretations, and avoid calculation errors. These online tests are ideal for strengthening basics and improving exam-oriented preparation.
Questions
Why are free MCQ online tests class 12 Applications of Derivatives important?
Answers
Free MCQ online tests class 12 Applications of Derivatives help students understand real-life applications such as rate of change, increasing and decreasing functions, maxima and minima, and tangents. These topics require strong conceptual clarity and practice. By attempting free MCQ online tests class 12, students can learn how to apply derivative concepts effectively and improve logical thinking. These tests also help students prepare for HOTS and case-study-based questions.
Questions
How can free MCQ online tests class 12 Integrals help in scoring higher marks?
Answers
Free MCQ online tests class 12 Integrals provide extensive practice on indefinite and definite integrals, substitution methods, and standard integrals. Integration is often considered challenging, and regular MCQ practice helps students recognize patterns quickly. Attempting free MCQ online tests class 12 Mathematics improves calculation speed and reduces exam stress. These tests are useful for both board exams and competitive exam preparation.
Questions
What are the benefits of free MCQ online tests class 12 Applications of Integrals?
Answers
Free MCQ online tests class 12 Applications of Integrals focus on calculating areas under curves and between curves. These questions require visualization and correct use of limits. Practicing applications of integrals free MCQ online tests class 12 helps students strengthen conceptual understanding and avoid common mistakes. These online tests are designed according to CBSE patterns and help students gain confidence in solving numerical and application-based problems.
Questions
How do free MCQ online tests class 12 Differential Equations support exam preparation?
Answers
Free MCQ online tests class 12 Differential Equations help students practice formation and solution of differential equations using different methods. This chapter is scoring and relatively easy with regular practice. Attempting free MCQ online tests class 12 Mathematics allows students to revise formulas, understand solution techniques, and improve speed. These tests are beneficial for quick revision before exams and for strengthening fundamentals.
Questions
Why should students practice free MCQ online tests class 12 Vector Algebra?
Answers
Free MCQ online tests class 12 Vector Algebra help students understand vector operations, dot product, cross product, and scalar triple product. This chapter is important for both board and competitive exams. Practicing vector algebra free MCQ online tests class 12 improves spatial understanding and formula application. Regular MCQ practice helps students avoid calculation errors and boosts confidence in solving objective questions efficiently.
Questions
What is the role of free MCQ online tests class 12 Three Dimensional Geometry?
Answers
Free MCQ online tests class 12 Three Dimensional Geometry help students master concepts like direction ratios, direction cosines, lines, planes, and angles between them. This chapter involves formula-based and conceptual questions. Practicing free MCQ online tests class 12 Mathematics enhances visualization skills and accuracy. These tests are extremely helpful for quick revision and improving performance in board examinations.
Questions
How do free MCQ online tests class 12 Linear Programming help students?
Answers
Free MCQ online tests class 12 Linear Programming focus on graphical methods, feasible regions, and optimization problems. This chapter is considered easy scoring if concepts are clear. Practicing free MCQ online tests class 12 helps students understand step-wise solutions and graphical interpretations. These tests are useful for quick concept revision and improving accuracy in objective-type questions.
Questions
Why are free MCQ online tests class 12 Probability essential for exam success?
Answers
Free MCQ online tests class 12 Probability help students practice conditional probability, Bayes’ theorem, and random variables. Probability is a high-weightage chapter in Class 12 Mathematics. By attempting probability free MCQ online tests class 12, students can improve logical reasoning, formula application, and numerical accuracy. Regular practice through online tests ensures better performance in CBSE board exams and competitive entrance tests.

