Karnataka 2nd PUC Maths Syllabus 2025–26 | Complete Guide
2nd PUC Maths is one of the most decisive subjects for students aiming for engineering, KCET, and high board scores. The Karnataka 2nd PUC Maths syllabus 2025–26 focuses heavily on calculus, vectors, and algebra, carrying 100 marks for theory with no practical component.
At Giraffe Learning, we treat 2nd PUC Maths as both a board-scoring subject and a KCET foundation, helping students prepare once and benefit twice.
Why 2nd PUC Maths Matters for Boards & KCET
2nd PUC Maths builds advanced problem-solving skills required for engineering entrance exams and Karnataka board exams. Nearly 50% of KCET Maths questions are drawn directly from the 2nd PUC syllabus, making this subject critical for ranking.
The syllabus includes 12 chapters across 6 major units, with application-based numericals, proofs, and long-answer problems forming the core of the exam. Students who master high-weightage chapters can realistically aim for 85+ out of 100 in board exams while staying KCET-ready.
The rationalised syllabus now puts greater emphasis on calculus, vectors, and coordinate geometry, reducing low-impact portions and making focused preparation more effective.
2nd PUC Maths Exam Pattern & Blueprint (2025–26)
The Karnataka 2nd PUC Maths exam is a 3-hour theory paper for 100 marks, structured to test depth, accuracy, and time management.
Question Distribution
- I-type: 10 × 1 mark = 10 marks
- II-type: 10 × 2 marks = 20 marks
- III-type: 8 × 3 marks = 24 marks
- IV-type: 6 × 5 marks = 30 marks
- V-type: 4 long problems = 16 marks
Key Pattern Insights
- Around 50% internal choice across sections
- Numericals: ~45%
- Proofs & theory: ~25%
- Graphs & applications: ~15%
At Giraffe Learning, classes are planned strictly using the official DPUE blueprint, so students practise exactly what matters.
Complete Unit-Wise 2nd PUC Maths Syllabus
The 2nd PUC Maths syllabus covers core engineering mathematics concepts.
II PUC Mathematics – Syllabus Blueprint (2025–26)
| Unit | Subtopics | PUC Exam Focus | Marks |
|---|---|---|---|
| Relations and Functions | Relations, functions, domain & range | Short-answer questions, basic application | 9 |
| Inverse Trigonometric Functions | Inverse trigonometric identities and properties | Conceptual questions, short problems | 6 |
| Matrices | Types of matrices, operations, inverse of matrix | Problem-solving, short numericals | 9 |
| Determinants | Determinants, properties, adjoint, inverse, applications | Numericals, application-based questions | 12 |
| Continuity and Differentiability | Limits, continuity, differentiability, derivatives | High-weightage numericals, derivations | 17 |
| Application of Derivatives | Rate of change, increasing/decreasing functions, maxima & minima | Numericals, real-life application problems | 8 |
| Integrals | Indefinite & definite integrals, properties, methods | Long-answer numericals, standard problems | 18 |
| Application of Integrals | Area under curves | Long problems (Part D/E) | 5 |
| Differential Equations | Order, degree, formation and solution of DEs | Short & long answer numericals | 8 |
| Vector Algebra | Vectors, dot & cross products, applications | Numericals, geometry-based problems | 8 |
| Three-Dimensional Geometry | Direction cosines, lines, planes | Numericals, spatial reasoning | 6 |
| Linear Programming | Graphical solution of LPP | Case-based / graph-based question | 6 |
| Probability | Conditional probability, Bayes' theorem | Numericals, reasoning-based questions | 8 |
| Total | 80 | ||
Focus Units 2–6 alone cover nearly 65% of the paper.
Chapter-Wise Weightage: What to Study First
| Chapter Group | Marks Range | KCET Priority |
|---|---|---|
| Integrals + Differential Equations | 20–25 | Highest |
| Vectors + 3D Geometry | 18–22 | High |
| Applications of Derivatives | 15–18 | High |
| Continuity & Differentiability | 12–15 | High |
| Matrices & Determinants | 10–12 | Medium |
| Probability | 8–10 | Medium |
This is why Giraffe Learning prioritises calculus and vectors over textbook chapter order.
How Giraffe Learning Helps You Score in 2nd PUC Maths
At Giraffe Learning, 2nd PUC Maths is taught with a scoring-first mindset.
- Blueprint-based teaching aligned to DPUE weightage
- Daily practice from high-scoring chapters
- Special focus on V-type long problems (16 marks)
- KCET-mapped MCQ practice alongside board prep
- Weekly tests and performance tracking
Students don't just finish the syllabus, they learn how to score.
Prepare 2nd PUC Maths with Giraffe Learning
2nd PUC Maths: Board vs KCET Comparison
| Aspect | PUC II Boards | KCET |
|---|---|---|
| Total Marks | 100 | 60 |
| Duration | 3 hours | 70 minutes |
| Question Type | 1–5 mark mix | MCQs only |
| Syllabus Overlap | 100% | ~95% |
| Difficulty | Moderate | High |
Smart Strategy: Master written solutions for boards first, then convert the same concepts into MCQ speed practice for KCET, exactly how Giraffe structures its Maths program.
Free 2nd PUC Maths Downloads
Get everything you need in one place:
- Download Official 2nd PUC Maths Syllabus 2025-26 PDF
- Official 2nd PUC Maths Blueprint for 2025-26
- 2nd PUC Maths Question Bank 2025-26 PDF
- Other 2025-26 model papers from the DPUE website
- Other 2nd PUC Blueprint 2025-26 from the DPUE website
Final Giraffe Learning CTA
Prepare for 2nd PUC Maths with Giraffe Learning's structured, blueprint-driven approach. From calculus mastery to KCET-ready MCQs, we help students score confidently in boards and compete effectively in engineering entrances.
Frequently Asked Questions about 2nd PUC Maths Syllabus
2nd PUC Maths carries 100 marks for theory only. There are no practical exams.
Integrals and differential equations carry the highest weightage, followed by vectors and applications of derivatives.
Yes. About 95% of KCET Maths overlaps with the 2nd PUC syllabus.
Very important. V-type long problems alone carry 16 marks and require strong step-wise practice.
Yes. Around 50% of the paper includes internal choices.
At least 10 years of PUC papers and 8 years of KCET papers.
The official syllabus and blueprint are released by the Karnataka DPUE.
With the right guidance, blueprint focus, and practice, students find Maths far more manageable.
Have more questions? Ask your question here
Exam Pattern & Syllabus
