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Content Curator | Updated On - Aug 27, 2024
CBSE Class 12 Maths Question Papers with Solutions PDF are provided in this article. Students can download set-wise Mathematics Question Paper solved PDF for the year 2024, 2023, 2022, 2020, and more through the links provided below. The theory exam carries 80 marks and 20 marks are allotted to the internal assessment.
CBSE Class 12 Maths Question Paper 2024
You can find the links to download set-wise CBSE Class 12 Maths Question Paper 2024 with solutions from the table below:
| Paper Code | Question Paper PDF | Answer Key PDF |
|---|---|---|
| Set 1 - 65/1/1 | Download PDF | Download PDF |
| Set 2 - 65/1/2 | Download PDF | Download PDF |
| Set 3 - 65/1/3 | Download PDF | Download PDF |
| Set 1 - 65/2/1 | Download PDF | Download PDF |
| Set 2 - 65/2/2 | Download PDF | Download PDF |
| Set 3 - 65/2/3 | Download PDF | Download PDF |
| Set 1 - 65/3/1 | Download PDF | Download PDF |
| Set 2 - 65/3/2 | Download PDF | Download PDF |
| Set 3 - 65/3/3 | Download PDF | Download PDF |
| Set 1 - 65/4/1 | Download PDF | Download PDF |
| Set 2 - 65/4/2 | Download PDF | Download PDF |
| Set 3 - 65/4/3 | Download PDF | Download PDF |
| Set 1 - 65/5/1 | Download PDF | Download PDF |
| Set 2 - 65/5/2 | Download PDF | Download PDF |
| Set 3 - 65/5/3 | Download PDF | Download PDF |
Maths Important Questions Class 12
Here are some important questions for CBSE Class 12 Maths board exam scheduled on March 9, 2024:
- Check whether the relation R defined on the set A = {1, 2, 3, 4, 5, 6} as R = {(a, b): b = a + 1} is reflexive, symmetric or transitive. (Relations and Functions)
- If R is a relation defined on the set of natural numbers N as follows:
R = {(x, y) : x ∈ N, y ∈ N and 2x + y = 24}, then find the domain and range of the relation R . Also, find whether R is an equivalence relation or not. (Relations and Functions) - If tan-1 (√3) + cot-1 x = π2‚ then find the value of x. (Inverse Trigonometric Functions)
- Prove that cot-1(1+sinx√+1−sinx√1+sinx√−1−sinx√) = x2, 0 < x < π2, or x ∈ π4 (Inverse Trigonometric Functions)
- If A is a square matrix such that A2 = I, then find the simplified value of (A – I)3 + (A + I)3 – 7A. (Matrices)
- The elements a of a 3 × 3 matrix are given by aij = 12|- 3i + j|. Write the value of element a32. (Matrices)
- If A and B are square matrices of the same order 3, such that |A| = 2 and AB = 27. Write the value of |B|. (Determinants)
- Prove that y = (4sinθ/2+cosθ) – θ is an increasing function in (0, π2). (Application of Derivatives)
- Find the value of ∫ sin x ∙ log cos x dx. (Integrals)
- Evaluate ∫∞1 ( |x – 1| + |x – 2| + |x – 4|) dx. (Integrals)
- Find the area of the region lying above X-axis and included between the circle x2 + y2 = 8x and inside the parabola y2 = 4x (Application of Integrals)
- Using integration, prove that the curves y2 = 4x and x2 = 4y divide the area of the square bounded by x = 0, x = 4, y = 4 and y = 0 into three equal parts. (Application of Integrals)
- Form the differential equation representing the family of curves y = e2x(a + bx), where ‘a’ and ‘b’ are arbitrary constants. (Differential Equations)
- Find the general solution of the differential equation dy/dx = ex+y. (Differential Equations)
CBSE Class 12 Maths Question Paper 2023 Solved PDF
Students can download CBSE Class 12 Maths Question Paper 2023 solved PDF from the links below:
| Paper Code | Question Paper Link |
|---|---|
| Set 1- 65/1/1 | Check Here |
| Set 2- 65/1/2 | Check Here |
| Set 3- 65/1/3 | Check Here |
| Set 1- 65/2/1 | Check Here |
| Set 2- 65/2/2 | Check Here |
| Set 3- 65/2/3 | Check Here |
| Set 1- 65/3/1 | Check Here |
| Set 2- 65/3/2 | Check Here |
| Set 3- 65/3/3 | Check Here |
| Set 1- 65/4/1 | Check Here |
| Set 2- 65/4/2 | Check Here |
| Set 3- 65/4/3 | Check Here |
| Set 1- 65/5/1 | Check Here |
| Set 2- 65/5/2 | Check Here |
| Set 3- 65/5/3 | Check Here |
| Set 5 - 65(B) | Check Here |
CBSE Class 12 Maths Question Paper 2022 Solved PDF
Students can download CBSE Class 12 Maths Question Paper 2022 solved PDF from the links below:
| Paper Code | Question Paper Link |
|---|---|
| Set 1 - 65/1/1 | Check Here |
| Set 2 - 65/1/2 | Check Here |
| Set 3 - 65/1/3 | Check Here |
| Set 1 - 65/2/1 | Check Here |
| Set 2 - 65/2/2 | Check Here |
| Set 3 - 65/2/3 | Check Here |
| Set 1 - 65/3/1 | Check Here |
| Set 2 - 65/3/2 | Check Here |
| Set 3 - 65/3/3 | Check Here |
| Set 1 - 65/4/1 | Check Here |
| Set 2 - 65/4/2 | Check Here |
| Set 3 - 65/4/3 | Check Here |
| Set 1 - 65/5/1 | Check Here |
| Set 2 - 65/5/2 | Check Here |
| Set 3 - 65/5/3 | Check Here |
| Set 5 - 65/B/5 | Check Here |
CBSE Class 12 Maths Question Paper 2020 Solved PDF
Students can download CBSE Class 12 Maths Question Paper 2020 solved PDF from the links below:
| Paper Code | Question Paper Link |
|---|---|
| Set 1- 65/1/1 | Check Here |
| Set 2- 65/1/2 | Check Here |
| Set 3 - 65/1/3 | Check Here |
| Set 3 - 65/2/3 | Check Here |
| Set 2- 65/3/2 | Check Here |
| Set 3 - 65/3/3 | Check Here |
| Set 4 - 65(B) | Check Here |
CBSE Class 12 Maths Question Paper 2019 Solved PDF
Download CBSE Class 12 Maths Question Paper 2019 solved PDF from the links below:
| Paper Code | Question Paper Link |
|---|---|
| Set 2- 65/1/2 | Check Here |
| Set 3 - 65/1/3 | Check Here |
| Set 2- 65/2/2 | Check Here |
| Set 3 - 65/2/3 | Check Here |
| Set 2- 65/3/2 | Check Here |
| Set 3 - 65/3/3 | Check Here |
| Set 2- 65/4/2 | Check Here |
| Set 3 - 65/4/3 | Check Here |
| Set 2- 65/5/2 | Check Here |
| Set 3 - 65/5/3 | Check Here |
| Set 4 - 65(B) | Check Here |
CBSE Class 12 Maths Question Paper 2018 Solved PDF
Check the links below to download CBSE Class 12 Maths Question Paper 2018 solved PDF:
| Paper Code | Question Paper Link |
|---|---|
| Set 1 - 65/1 | Check Here |
| Set 2 - 65/2 | Check Here |
| Set 3 - 65/3 | Check Here |
| Set 4 - 65(B) | Check Here |
CBSE Class 12 Maths Question Paper 2017 Solved PDF
Students can download CBSE Class 12 Maths Question Paper 2017 solved PDF from the links below:
| Paper Code | Question Paper Link |
|---|---|
| Set 1 - 65/1 | Check Here |
| Set 2 - 65/2 | Check Here |
| Set 3 - 65/3 | Check Here |
| Set 1 - 65/1/1 | Check Here |
| Set 2 - 65/1/2 | Check Here |
| Set 3 - 65/1/3 | Check Here |
| Set 1 - 46/1/1 | Check Here |
| Set 2 - 46/1/2 | Check Here |
| Set 3 - 46/1/3 | Check Here |
| Set 1 - 65/2/1 | Check Here |
| Set 2 - 65/2/2 | Check Here |
| Set 3 - 65/2/3 | Check Here |
| Set 4 - 65(B) | Check Here |
CBSE Class 12 Maths Question Paper 2016 Solved PDF
Students can download CBSE Class 12 Maths Question Paper 2016 solved PDF from the links below:
| Paper Code | Question Paper Link |
|---|---|
| Set 1 - 65/1/C | Check Here |
| Set 1 - 65/1/E | Check Here |
| Set 1 - 65/1/N | Check Here |
| Set 1 - 65/1/S | Check Here |
| Set 2 - 65/2/C | Check Here |
| Set 2 - 65/2/E | Check Here |
| Set 2 - 65/2/N | Check Here |
| Set 2 - 65/2/S | Check Here |
| Set 3 - 65/3/C | Check Here |
| Set 3 - 65/3/E | Check Here |
| Set 3 - 65/3/N | Check Here |
| Set 3 - 65/3/S | Check Here |
| Set 1 - 65/1/1/D | Check Here |
| Set 2 - 65/1/2/D | Check Here |
| Set 3 - 65/1/3/D | Check Here |
| Set 1 - 65/2/1/F | Check Here |
| Set 2 - 65/2/2/F | Check Here |
| Set 3 - 65/2/3/F | Check Here |
| Set 4 - 65(B) | Check Here |
CBSE Class 12 Maths Question Paper 2015 Solved PDF
The links to download CBSE Class 12 Maths Question Paper 2015 solved PDF are provided below:
| Paper Code | Question Paper Link |
|---|---|
| Set 1 - 65/1/A | Check Here |
| Set 2 - 65/2/A | Check Here |
| Set 3 - 65/3/A | Check Here |
| Set 1 - 65/1/RU | Check Here |
| Set 2 - 65/2/RU | Check Here |
| Set 3 - 65/3/RU | Check Here |
| Set 1 - 65/1/B | Check Here |
| Set 2 - 65/2/B | Check Here |
| Set 3 - 65/3/B | Check Here |
| Set 1 - 65/1/G | Check Here |
| Set 2 - 65/2/G | Check Here |
| Set 3 - 65/3/G | Check Here |
| Set 1 - 65/1/C | Check Here |
| Set 2 - 65/2/C | Check Here |
| Set 3 - 65/3/C | Check Here |
| Set 1 - 65/1/P | Check Here |
| Set 2 - 65/2/P | Check Here |
| Set 3 - 65/3/P | Check Here |
| Set 1 - 65/1/MT | Check Here |
| Set 2 - 65/2/MT | Check Here |
| Set 3 - 65/3/MT | Check Here |
| Set 1 - 65/1/1/D | Check Here |
| Set 2 - 65/1/2/D | Check Here |
| Set 3 - 65/1/3/D | Check Here |
| Set 1 - 65/2/1/F | Check Here |
| Set 4 - 65(B) | Check Here |
Frequently Asked Questions
Ques. How to prepare for CBSE Class 12 Maths Board Exam?
Ans.
- Understand the concepts thoroughly from NCERT textbooks and reference books.
- Practice solving problems regularly to strengthen problem-solving skills.
- Solve previous years' question papers and sample papers to get acquainted with the exam pattern.
- Create a study schedule and allocate time for each topic based on its weightage in the syllabus.
- Seek help from teachers or tutors to clarify doubts and difficult concepts.
Ques. What is the exam pattern for CBSE Class 12 Math?
Ans.
- The CBSE Class 12 Maths exam typically consists of four main sections: Algebra, Calculus, Geometry, and Probability & Statistics.
- The question paper includes both objective and subjective questions, with varying marks allotted to each section.
- Marks are awarded for correct answers, intermediate steps, and final answers, while negative marking may be applicable for incorrect answers in objective-type questions.
Ques. Where to find CBSE Class 12 Maths Question Paper PDFs?
Ans. CBSE Class 12 Math question papers in PDF format can be found on the official CBSE website, educational websites, and online forums.
*The article might have information for the previous academic years, which will be updated soon subject to the notification issued by the University/College.
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