In this article, we have made available the CBSE 12th Mathematics Most Repeated Questions in the CBSE 12th Exams. Practicing these questions is a preparation tip which guarantees students being better prepared for the CBSE 12th Board Exam 2025. Be it 1 mark questions, or 3 and 4 marks questions, this article covers all the CBSE 12th Maths important questions which are often repeated in the exams.
Maths is a subject that requires attentiveness as it includes tough calculations and implementing formulae to solve questions quickly. It is a scoring subject and hence increases the overall percentage. Below are given the set of questions which are must-know for appearing students as these are often repeated in the exams.
CBSE 12th Board Maths Most Repeated Questions for Each Chapter
Given in the table below are the most repeated questions in CBSE 12th Board Maths Exams over the past years. Students must practice these questions to excel in the CBSE Class 12 Maths Exam 2025:
1. Relations and Functions
Q1. If R = {(a, a3): a is a prime number less than 5} be a relation. Find the range of R .
Q2. If f: {1,3, 4} → {1, 2, 5} and g: {1,2, 5} → {1, 3} given by f = {(1,2), (3, 5), (4,1)} and g = {(1,3), (2, 3), (5,1)}. Write down gof.
Q3. Let R is the equivalence relation in the set A = {0,1, 2, 3, 4, 5} given by R = {(a, b) : 2 divides (a – b)}. Write the equivalence class [0].
Q4. If R = {(x, y): x + 2y = 8} is a relation on N, then write the range of R.
Q5. If A = {1, 2, 3}, S = {4, 5,6, 7} and f = {(1, 4), (2, 5), (3, 6)} is a function from A to B. State whether f is one-one or not.
Q6. If f : R → R is defined by f{x) = 3x + 2, then define f[f(x)].
Q7. Write fog, if f: R → R and g:R → R are given by f(x) = |x| and g(x) = |5x – 2|.
Q8. Write fog, if f: R → R and g:R → R are given by f(x) = 8x3 and g(x) = xy3.
Q9. State the reason for the relation R in the set {1, 2, 3} given by R = {(1, 2), (2,1)} not to be transitive.
Q10. What is the range of the function?
2. Inverse Trigonometric Functions
Q1. Write the value of tan-1 (√3) – cot-1 (- √3).
Q2. Find the principal value of tan-1√3 – sec-1 (- 2).
Q3. Write the principal value of cos-1 [cos(680)°].
Q4. Write the value of cos-1 (1/2) – 2 sin-1 (½)
Q5. Using the principal values, write the value of cos-1(1/2) + 2 sin-1(1/2).
Q6. What is the principal value of tan-1 (- 1)?
Q7.
3. Matrices
Q1. Write the number of all possible matrices of order 2 × 2 with each entry 1, 2 or 3.
Q2. Write the element a of a 3 × 3 matrix A = [aij], whose elements are given by aij = |i−j|/2
Q3. If a matrix has 5 elements, then write all possible orders it can have.
Q4. If A is a square matrix such that A2 = A, then write the value of 7A — (I + A)3, where I is an identity matrix.
Q5.
Q6.
4. Determinants
Q1.
Q2.
Q3.
5. Continuity and Differentiability
Q1.
Q2.
6. Application of Derivatives
Q1. The total cost C(x) associated with the production of x units of an item is given by C(x) = 0.005x3 – 0.02x2 + 30x + 5000. Find the marginal cost when 3 units are produced, where by marginal cost we mean the instantaneous rate of change of total cost at any level of output.
Q2. Show that the function f(x) = x3 – 3x2 + 6x – 100 is increasing on R.
Q3. Show that the function f(x) = 4x3 – 18x2 + 27x – 7 is always increasing on R.
Q4. The volume of a cube is increasing at the rate of 8 cm3/s. How fast is the surface area increasing when the length of its edge is 12 cm?
Q5. The length x of a rectangle is decreasing at the rate of 5 cm/min and the width y is increasing at the rate of 4 cm/min. When x = 8 cm and y = 6 cm, find the rate of change of
(i) the perimeter.
(ii) area of rectangle.
Also see:
CBSE 12th Physics Board Exam 2025: Know Most Repeated Questions in the Last Years Here!
