Karnataka 2nd PUC Maths Question paper 2025 (12 March), Download Solution, Answer Key, Exam Analysis

Karnataka 2nd PUC Maths Question Paper 2025

The Karnataka 2nd PUC Maths Question Paper 2025 will be released soon, which was conducted on 12th March 2025. The question paper can be referred by students to evaluate the nature of questions, the level of difficulty, and the pattern of the exam. It will also benefit future candidates while preparing. The official question paper PDF will be posted below soon, so students can view it and cross-check their solutions.

Karnataka 2nd PUC Maths Answer Key 2025

Once the question paper is officially released, students can get the answer key below, to cross-verify their answers and evaluate their performance as per that. It will help the candidates to gain confidence over the right answers and realize their mistakes if any.

Karnataka 2nd PUC Maths Exam Pattern 2025

The Karnataka 2nd PUC Maths Exam Pattern 2025 describes the format of the question paper, the nature of the questions, the marking system, and the duration of the exam. Knowing the exam pattern makes it easy for students to become acquainted with the total questions, section-wise weightage, and distribution of marks. Familiarity with the exam pattern beforehand helps students prepare well and utilize time during the exam.

Karnataka 2nd PUC Maths Marking Scheme 2025

The Karnataka 2nd PUC Maths Marking Scheme 2025 states the distribution of marks for various sections of the Maths question paper. It is important for students to know the marking scheme as it will guide them to give importance to high-scoring topics, make optimal use of time during the exam, and approach questions strategically. The Department of Pre-University Education, Karnataka (DPUE) has laid down the marking pattern based on question type and section-wise weightage. In general, the question paper contains objective, short-answer, and long-answer questions. If students are aware of the marking scheme, they can prepare their answers accordingly and score the highest marks.

Karnataka 2nd PUC Maths Model Questions

The Karnataka 2nd PUC Maths Model Questions 2025 are prepared to make students familiar to the examination pattern, type of questions, and toughness. Practicing the model questions enhances problem-solving capabilities and raises exam confidence. Students can use these questions to improve their preparation and score well in the exam.

1- If a relation R on the set {1,2,3} is defined by R={(1,1)}, then R is

A) Symmetric but not transitive

B) Transitive but not symmetric

C) Symmetric and transitive

D) Neither symmetric nor transitive

2- $\sin \left(\tan ^{-1} x\right),|x|<1$ is equal to

(A) $\frac{\sqrt{1-x^2}}{x}$
(B) $\frac{x}{\sqrt{1-x^2}}$
(C) $\frac{1}{1+x^2}$
(D) $\frac{\mathrm{x}}{\sqrt{1+\mathrm{x}^2}}$.

3- Match List I with List II

Choose the correct answer from the options given below:

A) a-i, b-ii, c-iii

B) a-iii, b-ii, c-i

C) a-ii, b-i, c-iii

D) a-iii, b-i, c-ii

4- Statement 1: If A is a symmetric as well as a skew-symmetric matrix, then A is

a null matrix

Statement 2: $A$ is a symmetric matrix if $A^T=A$ and $A$ is a skew-symmetric
matrix if $A^T=-A$.

A) Statement 1 is true and Statement 2 is false.

B) Statement 1 is false and Statement 2 is false.

C) Statement 1 is true and Statement 2 is true, Statement 2 is not a correct

the explanation for Statement 1

D) Statement 1 is true and Statement 2 is true, Statement 2 is a correct

the explanation for Statement 1

$
\begin{aligned}
&\text { 5- The value of }\\
&\cos \left(\frac{\pi}{3}+\sin ^{-1}\left(\frac{1}{2}\right)\right)=
\end{aligned}
$

6- The probability of solving a specific problem independently by A and B are 1/2 and 1/3 respectively. If both try to solve the problem then the probability that the problem is solved is ?/3 , then the value of k is ________

7- Find ‘k’ if the area of the triangle with vertices (2,-6), (5,4) and (k,4) is 35 square units.

8- The radius of an air bubble is increasing at the rate of 0.5 cm/s. At what rate is the volume of the bubble is increasing when the radius is 1 cm?

9- Let $L$ be the set of all lines in a plane and $R$ be the relation in $L$ defined as $\mathrm{R}=\left\{\left(L_1, L_2\right): L_1\right.$ is perpendicular to $L_2$ \}. Show that R is symmetric but neither reflexive nor transitive.

10- Find the values of a and b such that

$f(x)= \begin{cases}5 & \text { if } x \leq 2 \\ a x+b & \text { if } 2<x<10 \\ 21 & \text { if } x \geq 10\end{cases}$

is a continuous function.

Preparation Tips for Karnataka 2nd PUC Maths Exam 2025

Preparation for Karnataka 2nd PUC Maths Exam 2025 needs a proper strategy to complete the syllabus, enhance problem-solving, and utilize time wisely during the exam. The following are some tips that would help prepare for students to do their best:

Understand the Syllabus

The most crucial step and the very first one in preparing for Karnataka 2nd PUC Maths Exam is to understand the syllabus. The Department of Pre-University Education, Karnataka (DPUE) has already made available the official syllabus of the 2025 exam, including significant topics such as Algebra, Calculus, Trigonometry, Probability, Statistics, and Linear Programming.

Why is it Important?

• Understanding the syllabus makes you realize high-weightage chapters.

• It helps you effectively organize your study timetable.

• You can concentrate on harder or more challenging questions.

Tip: Download the official syllabus from the KSEAB official website or take a look at the syllabus given by your school. Create a checklist and tick topics as you finish them.

Solve Previous Year's Papers

Previous year Karnataka 2nd PUC Maths question papers solution is one of the best modes to practice for the exam. Solving them familiarizes you with the question format, level of difficulty, and key topics which often occur in the exam.

Benefits of Solving Previous Year Papers:

• Enhances your speed and accuracy while solving the problems.

• Indicates to you frequently asked questions.

• Increases confidence by providing actual exam experience.

• Helps you grasp the time management while taking the actual exam.

Tip: Try solving at least 5-10 of last year's question papers and match your answers with solutions. Go through your errors and practice those concepts.

Create a Study Plan

A good study plan is important to complete the entire syllabus and provide sufficient time for revision. Without proper planning, students tend to neglect vital topics or try to finish the syllabus in the last hour.

How to Create an Effective Study Plan:

1. Plan Time for Every Chapter: Invest more time on challenging or weightage-based subjects such as Calculus, Trigonometry, and Probability.

2. Daily Practice: Devote a minimum of 2-3 hours per day to Mathematics.

3. Regular Revisions: Revise formulas, theorems, and key concepts on a regular basis.

4. Break Large Topics: Divide long units such as Calculus into small portions to not feel overwhelmed.

5. Set Weekly Goals: Try to finish a specific number of chapters each week and practice through sample papers.

Tip: Follow your study schedule regularly and monitor your progress to remain motivated.

Practice with Mock Tests

Practising mock tests or sample papers under simulated exam conditions can greatly enhance your performance in the actual exam. Mock tests assist you in:

• Effective Time Management: Complete the paper in 3 hours to get the feel of the actual exam.

• Enhance Problem-Solving Speed: Practice regularly to solve problems quickly and accurately.

• Find Weak Areas: Once you have attempted a mock test, review your errors and improve your weak areas.

Clear Basic Concepts

Mathematics needs a clear basic concept to resolve higher-level problems. If your basics are clear, you can solve higher-level questions with ease.

How to Clear Basic Concepts:

• Revisit NCERT Textbooks: NCERT textbooks explain the basics in simple language so that one can easily grasp concepts.

• Practice Formula-Based Questions: Read and practice all the important formulas, theorems, and trigonometric identities on a regular basis.

• Solve Step-by-Step: When solving a problem, divide it into small steps so that it does not get confusing.

• Take Help if Required: If you feel that any topic is tough for you, do not hold back to ask your teacher, or peers, or consult online tutorials.

Parallel Topics:

• Karnataka 2nd PUC Answer Key 2025
• Karnataka 2nd PUC Maths Answer Key 2025
• Karnataka 2nd PUC Physics Answer Key 2025