Karnataka 1st PUC Mathematics Syllabus 2025–26 | Complete Guide
1st PUC Mathematics lays the academic foundation for 2nd PUC boards, KCET, and engineering entrance exams. The Karnataka 1st PUC Maths syllabus 2025–26 introduces students to sets, trigonometry, algebra, coordinate geometry, probability, and an early exposure to calculus.
The subject carries 100 marks for theory only, with no practical exam. At Giraffe Learning, 1st PUC Maths is taught as a thinking subject, focusing on concepts, stepwise problem-solving, and accuracy—so students are well prepared for advanced maths in 2nd PUC.
Why 1st PUC Mathematics Matters for Boards & KCET
Karnataka 1st PUC Maths builds logical reasoning and problem-solving skills that directly support 2nd PUC Mathematics. Nearly 35% of KCET Maths is based on 1st PUC topics, especially trigonometry, algebra, and coordinate geometry.
The syllabus includes 14 chapters that progress in a structured way from basic sets and relations to limits and derivatives. Students who gain clarity at this stage find advanced calculus and vectors in the 2nd PUC far easier.
With systematic practice, students can confidently aim for strong board scores while also laying a solid foundation for engineering entrance preparation.
1st PUC Maths Exam Pattern & Blueprint (2025–26)
The 1st PUC Mathematics exam is a 3-hour 15-minute theory paper for 100 marks, designed to test understanding, application, and accuracy.
Paper Structure
- Part A: 10 × 1 mark (10 marks)
- Part B: 10 out of 14 × 2 marks (20 marks)
- Part C: 10 out of 14 × 3 marks (30 marks)
- Part D: 6 out of 10 × 5 marks (30 marks)
- Part E: 1 out of 2 × 10 marks (6 + 4 subdivisions)
Around 50% of the internal choice is available across Parts B, C, D, and E. Blueprint-based preparation is essential to focus on the high-weighting chapters.
Complete Chapter-Wise 1st PUC Mathematics Syllabus
The syllabus covers foundational to intermediate mathematical concepts.
| Chapter | Subtopics | PUC Exam Focus | Marks |
|---|---|---|---|
| Ch 1 – Sets | Set operations, Venn diagrams, subsets, complements | Short answers, set identities, diagram-based questions | 8 |
| Ch 2 – Relations & Functions | Domain, range, types of relations, functions | Conceptual questions, mapping problems | 11 |
| Ch 3 – Trigonometric Functions | Identities, equations, graphs, transformations | High-weight problems, proofs, long answers | 19 |
| Ch 4 – Principle of Mathematical Induction | Proof of statements using PMI | Proof-based short & long answers | 5 |
| Ch 5 – Complex Numbers & Quadratic Equations | Argand plane, algebra of complex numbers, quadratic solutions | Numericals, algebraic manipulation | 9 |
| Ch 6 – Linear Inequalities | Solving inequalities, graphical representation | Short numericals, number line problems | 7 |
| Ch 7 – Permutation & Combination | Counting principle, factorial, arrangements & selections | Long problems, counting-based numericals | 9 |
| Ch 8 – Binomial Theorem | Expansion, general term, middle term | Expansion-based numericals | 8 |
| Ch 9 – Sequence & Series | AP, GP, sum of n terms | Formula-based numericals | 11 |
| Ch 10 – Straight Lines | Slope, equation forms, distance formula | Coordinate numericals | 10 |
| Ch 11 – Conic Sections | Circle, parabola, ellipse, hyperbola (standard forms) | Equation-based problems, diagrams | 9 |
| Ch 12 – Introduction to 3D Geometry | Coordinates in space, distance formula | Short numericals | 7 |
| Ch 13 – Limits & Derivatives | Limits, basic derivative rules | Limit evaluation, differentiation numericals | 15 |
| Ch 14 – Mathematical Reasoning | Logical statements, implications, truth tables | Short theoretical questions | 6 |
| Ch 15 – Statistics | Mean, variance, standard deviation | Data-based numericals | 7 |
| Ch 16 – Probability | Probability rules, addition theorem | Probability numericals | 9 |
| Total | 150 | ||
👉 Chapters on Trigonometry, Coordinate Geometry, and Calculus Intro together form nearly 50% of the paper.
Chapter-Wise Weightage: What to Focus On
| Chapter Group | Marks Range | Priority |
|---|---|---|
| Trigonometry (Ch 3) | 18–20 | Highest |
| Coordinate Geometry (Ch 9–11) | 24–28 | High |
| Algebra (Ch 4–8) | 30–35 | High |
| Calculus Intro (Ch 12) | 14–16 | High |
| Statistics + Probability | 15–18 | Medium |
Insight: Algebra and coordinate geometry dominate the exam pattern. Always verify the latest DPUE blueprint before final revision.
How to Prepare for 1st PUC Maths Effectively
- Practise 75 problems per chapter from high-weightage units
- Master 35 trigonometric identities, 25 conic equations, and 20 P&C applications
- Complete all textbook exercises without skipping steps
- Prepare formula sheets:
- Trigonometry: ~35 formulas
- Coordinate geometry: ~25 formulas
- Algebra: ~30 formulas
- Practise graph sketching and probability trees daily
Key Tip: The Part E (10 marks) question is crucial. Regular practice of long problems with subdivisions under timed conditions can significantly boost scores.
KCET Foundation: How 1st PUC Maths Helps
| Topic | 1st PUC Coverage | KCET Relevance |
|---|---|---|
| Trigonometry | Identities, equations | ~20% |
| Coordinate Geometry | Lines, basic conics | ~25% |
| Algebra | P&C, sequences | ~30% |
| Limits & Derivatives | Basic concepts | ~15% |
| Probability | Basic theorems | ~10% |
Strategy: A strong 1st PUC Maths base contributes nearly 35% of KCET Maths preparation. Focus especially on trigonometry and coordinate geometry.
Free 1st PUC Maths Downloads
Get all essential Maths resources in one place:
- Karnataka 1st PUC Maths Syllabus, Blueprint and Question Bank 2025–26 PDF
- Other 2025-26 model papers from the DPUE website
Build a strong Maths foundation with Giraffe Learning's 1st PUC Mathematics program. With concept-first teaching, regular practice, and blueprint-based focus, we help students score confidently in boards and prepare smoothly for 2nd PUC and KCET.
Frequently Asked Questions about 1st PUC Maths Syllabus
The subject carries 100 marks for theory only. There are no practical exams.
The paper has five parts: A, B, C, D, and E, testing short answers to long problems.
Trigonometric Functions usually carry the highest weightage.
About 35% of KCET Maths is based on 1st PUC topics.
Yes. Around 50% of questions have internal options.
Part E alone carries 10 marks and tests deep understanding.
Textbook exercises first, followed by model papers and previous questions.
The syllabus is available on the DPUE Karnataka website.
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Exam Pattern & Syllabus
