
CBSE Class 12 Maths Exam 2026 is scheduled to be conducted on 09 March 2026 (Monday). Mathematics plays a crucial role in determining overall board results, especially for science and commerce students. Over the years, CBSE has consistently framed questions directly or indirectly from NCERT textbooks, including solved examples, exercise questions, and miscellaneous problems. Identifying the most repeated NCERT questions chapter-wise helps students focus on high-weightage areas, strengthen conceptual clarity, and manage exam time efficiently. This article provides a detailed chapter-wise compilation of frequently asked NCERT-based questions for effective and targeted revision.
CBSE strongly follows the NCERT textbook while setting the Class 12 Maths question paper. Questions are often repeated with minor changes in values or presentation. Practising these frequently asked NCERT questions improves accuracy, boosts confidence, and helps students understand the board’s marking scheme and question pattern more effectively.
Total number of relations on a given set
Total number of functions on a given set
Determine whether the given relation is reflexive, symmetric, and transitive
Show that the given relation is an equivalence relation and find all equivalence classes
Domain and range of a function
State whether the given function is bijective or not
Total number of equivalence relations and bijective functions
Examples: Q3, Q5, Q11
Exercise 1.1: Q1 (iii, iv), Q2, Q3, Q5, Q8, Q9, Q12, Q14, Q15
Exercise 1.2: Q3, Q4, Q5, Q7, Q8, Q9, Q10
Miscellaneous: Q1, Q2, Q4
Graph of inverse trigonometric functions
Finding principal value
Express in the simplest form
Examples: Q2, Q3, Q4, Q6
Exercise 2.1: Q11, Q12, Q13, Q14
Exercise 2.2: Q4, Q5, Q7, Q8, Q9, Q11, Q13, Q15
Miscellaneous: Q1, Q6, Q7, Q8, Q9, Q10, Q13, Q14
Construct a matrix of given order when whole elements are given
MCQs based on types of matrices
Find missing values like a, b, c, and k using equality of matrices
Questions based on multiplication of matrices and its properties
Express a matrix as the sum of a symmetric and a skew-symmetric matrix
Questions on properties of symmetric and skew-symmetric matrices
MCQs on invertible matrices
Examples: Q2, Q3, Q5, Q8, Q10, Q11, Q16, Q17, Q22, Q24, Q25
Exercise 3.1: Q1, Q2, Q5, Q9, Q10
Exercise 3.2: Q4, Q5, Q7 (ii), Q10, Q12, Q13, Q16, Q17, Q18, Q21, Q22
Exercise 3.3: Q6, Q10 (iii), Q11, Q12
Miscellaneous: Q1, Q6, Q7, Q8, Q9, Q10, Q13, Q14
Show that the given points are collinear
Find the value of k if the area of a triangle is given
Evaluate the determinant using cofactors of elements of given rows and columns
Questions based on properties of determinants and adjoint of matrices
Solve the system of equations using the matrix method
Examples: Q2, Q4, Q5, Q7, Q11, Q13, Q14, Q15, Q18, Q19
Exercise 4.1: Q4, Q6, Q7, Q8
Exercise 4.2: Q2, Q3, Q4, Q5
Exercise 4.3: Q3, Q4, Q5
Exercise 4.4: Q13, Q14, Q15, Q16, Q17, Q18
Exercise 4.5: Q15, Q16
Miscellaneous: Q1, Q2, Q3, Q4, Q7, Q8, Q9
Find the value of k, a, and b if the function is continuous or differentiable at x=ax = ax=a
Find all the points of discontinuity of a given function
Derivative of inverse trigonometric functions
Logarithmic differentiation
Derivatives of a function in parametric form
Second-order derivative
Examples: Q10, Q13, Q26, Q27, Q28, Q30, Q34, Q36, Q37, Q38, Q39, Q40, Q42, Q43
Exercise 5.1: Q7, Q8, Q12, Q15, Q17, Q18, Q19, Q23, Q24, Q26, Q30, Q34
Exercise 5.2: Q6, Q7, Q9, Q10
Exercise 5.3: Q6, Q13, Q14, Q15
Exercise 5.4: Q4, Q7, Q10
Exercise 5.5: Q1, Q2, Q5, Q8, Q10, Q11, Q14, Q15
Exercise 5.6: Q5, Q7, Q8, Q10, Q11
Exercise 5.7: Q8, Q9, Q10, Q12, Q13, Q14, Q17
Miscellaneous: Q5, Q6, Q9, Q13, Q14, Q15, Q16, Q17, Q22
Rate of change of quantities
Find the interval in which the given function is increasing and decreasing
Show that the function is increasing or decreasing in the given interval
Find the absolute maximum and minimum values of a given function
Word problems on rate of change of quantities and maxima & minima
Examples: Q2, Q4, Q5, Q11, Q12, Q13, Q20, Q21, Q25, Q26, Q27, Q29, Q30, Q31, Q32, Q33, Q34, Q37
Exercise 6.1: Q3, Q4, Q7, Q8, Q10, Q11, Q13, Q14
Exercise 6.2: Q2, Q5, Q7, Q8, Q9, Q14, Q18, Q19
Exercise 6.3: Q2, Q3 (iii, vi, vii), Q4, Q7, Q8, Q10, Q11, Q17, Q18, Q21, Q22, Q23, Q25, Q26, Q29
Miscellaneous: Q1, Q2, Q3, Q4, Q6, Q8, Q9, Q10, Q11, Q14
Integration of trigonometric functions including simplification or substitution
Integration by partial fractions
Integration by parts
Definite integrals using properties
Integrals of some functions
Examples: Q2, Q6, Q9, Q10, Q11, Q12, Q13, Q14, Q16, Q23, Q25 (iii), Q27, Q28, Q30, Q31, Q32, Q33, Q34, Q37, Q39, Q40, Q41, Q42
Exercise 7.1: Q11, Q14, Q17, Q20, Q22
Exercise 7.2: Q3, Q9, Q14, Q19, Q20, Q24, Q25, Q26, Q28, Q30, Q33, Q34, Q37, Q38
Exercise 7.3: Q2, Q3, Q4, Q6, Q8, Q12, Q13, Q14, Q16, Q17, Q19, Q20, Q22, Q24
Exercise 7.4: Q15, Q16, Q19, Q23
Exercise 7.5: Q3, Q5, Q6, Q8, Q13, Q15, Q17, Q18, Q19
Exercise 7.6: Q6, Q9, Q10, Q13, Q11, Q14, Q18, Q19, Q22, Q24
Exercise 7.7: Q5, Q6, Q7, Q11
Exercise 7.8: Q9, Q12, Q16, Q17, Q18, Q20
Exercise 7.9: Q2, Q3, Q6, Q7, Q8
Exercise 7.10: Q2, Q3, Q4, Q5, Q6, Q8, Q10, Q12, Q15, Q16, Q21
Miscellaneous: Q2, Q4, Q7, Q8, Q10, Q11, Q15, Q19, Q21, Q23, Q24, Q27, Q28, Q30, Q31, Q32, Q33
Area under simple curves
Example: Q1, Q2, Q3, Q4
Exercise 8.1: Q2, Q3, Q4
Miscellaneous: Q1, Q2, Q3, Q5
Questions based on degree and order of differential equation
Differential equations with variable separable
Homogeneous differential equations
Linear differential equations
Find the general and particular of the given differential equations
Example: Q1, Q3, Q5, Q7, Q8, Q9, Q10, Q11, Q13, Q15, Q17, Q18, Q20, Q21, Q22
Exercise 9.1: Q1, Q3, Q4, Q5, Q11, Q12
Exercise 9.2: Q4, Q6, Q7, Q8, Q9, Q10
Exercise 9.3: Q1, Q4, Q5, Q6, Q7, Q9, Q10, Q11, Q13, Q14
Exercise 9.4: Q2, Q3, Q4, Q6, Q7, Q9, Q10, Q12, Q13, Q15
Exercise 9.5: Q1, Q3, Q4, Q7, Q8, Q9, Q11, Q13, Q14, Q15
Miscellaneous: Q1, Q4, Q5, Q6, Q7, Q8, Q9, Q11, Q12, Q13
Questions based on direction ratios and cosines
Triangle law and parallelogram law of vector addition
Finding the unit vector
Questions on section formulae
Problems on scalar product and vector product and their properties
Projection of a vector on a line
Finding the area of triangle parallelogram using vector
Finding angle between two vectors
Using vector show that given three points are collinear
Example: Q1, Q4, Q5, Q6, Q8, Q9, Q11, Q13, Q14, Q15, Q21, Q22, Q24, Q25, Q27, Q28, Q29
Exercise 10.1: Q1, Q4, Q5
Exercise 10.2: Q1, Q4, Q5, Q7, Q9, Q10, Q11, Q12, Q14, Q15, Q17, Q18
Exercise 10.3: Q1, Q2, Q3, Q5, Q6, Q8, Q10, Q13, Q16, Q18
Exercise 10.4: Q2, Q3, Q4, Q5, Q8, Q9, Q10, Q12
Miscellaneous: Q1, Q3, Q5, Q6, Q7, Q9, Q10, Q11, Q12, Q13, Q14, Q17, Q18, Q19
Question based on direction ratio and direction cosine of a line
Finding the equations of a line in space
Angle between two lines
Distance between two skew lines
Distance between two parallel lines
Questions based on finding the foot of perpendicular
Finding the coordinates of an image of given point
Find the value of p or any if two lines are parallel or perpendicular
Example: Q1, Q2, Q3, Q4, Q5, Q8, Q9, Q10
Exercise 11.1: Q1, Q3, Q4, Q5
Exercise 11.2: Q2, Q3, Q4, Q6, Q7, Q8, Q9, Q10, Q11, Q13, Q15
Miscellaneous: Q1, Q3
Solve linear programming problems graphically
Show that the minimum or maximum occurs more than two points
Example: Q1, Q2, Q3, Q4, Q5
Exercise 12.1: Q1, Q3, Q5, Q6, Q8, Q9, Q10
Conditional probability
Multiplication theorem on probability
Mcqs on independent events
Bayes' theorem and theorem of total probability
Questions based on properties related to sets
Example: Q2, Q3, Q5, Q7, Q8, Q9, Q11, Q12, Q13, Q14, Q17, Q18, Q19, Q20, Q21, Q22, Q23, Q24
Exercise 13.1: Q2, Q4, Q5, Q8, Q9, Q10, Q11, Q12, Q13, Q14, Q15
Exercise 13.2: Q4, Q5, Q6, Q7, Q9, Q10, Q11, Q12, Q13, Q15, Q16, Q18
Exercise 13.3: Q1, Q3, Q4, Q5, Q7, Q8, Q10, Q11, Q12, Q13, Q14
Miscellaneous: Q2, Q4, Q5, Q6, Q7, Q9, Q11, Q12, Q13