In short: Karnataka 2nd PUC Exam 1 starts February 27, 2027. These expected questions are based on 5-year blueprint analysis (2021-2026) from PUE Karnataka. Physics, Chemistry, Mathematics, and Biology — each subject's highest-probability questions, derivations, and numericals are listed here. Focus on these for maximum marks in minimum time.
Last updated: October 29, 2026. Source: PUE Karnataka — pue.karnataka.gov.in
How These Questions Were Selected
Selection criteria:
- Repeated in 3+ of last 5 years (2021-2026 PUC papers)
- High marks per question — 5-mark and 3-mark questions prioritised
- Blueprint alignment — chapters with highest marks allocation
- PUE Karnataka official blueprints — marks distribution per chapter
Source: PUE Karnataka blueprints — pue.karnataka.gov.in
Physics — Most Expected Questions (70 marks theory)
Chapter-wise Marks Distribution (Blueprint 2026-27)
| Chapter | Marks | Priority |
|---|---|---|
| Electric Charges and Fields | 8-10 | High |
| Current Electricity | 8-10 | High |
| Moving Charges and Magnetism | 6-8 | High |
| Electromagnetic Induction | 5-7 | High |
| Ray Optics and Optical Instruments | 8-10 | High |
| Wave Optics | 4-6 | Medium |
| Dual Nature of Radiation and Matter | 4-6 | Medium |
| Atoms | 3-5 | Medium |
| Nuclei | 3-5 | Medium |
| Semiconductor Electronics | 5-7 | High |
| Communication Systems | 2-3 | Low |
Most Expected 5-Mark Questions (Derivations)
Q1 ★★★ — Electric Charges and Fields
Derive the expression for the electric field due to an infinitely long straight uniformly charged wire using Gauss's law.
Why expected: Gauss's law applications asked every year. Cylindrical symmetry derivation = standard 5-mark question.
Key steps: Gaussian surface (cylinder) → flux calculation → E = λ/2πε₀r
Q2 ★★★ — Current Electricity
Derive the expression for the equivalent resistance of resistors connected in series and in parallel.
Why expected: Asked in 2021, 2022, 2024, 2025. Fundamental derivation.
Key steps: Series: V = V₁+V₂+V₃, I same → R_eq = R₁+R₂+R₃. Parallel: I = I₁+I₂+I₃, V same → 1/R_eq = 1/R₁+1/R₂+1/R₃
Q3 ★★★ — Moving Charges and Magnetism
Derive the expression for the force between two parallel current-carrying conductors. Define one Ampere.
Why expected: Definition of Ampere = standard board question. Asked in 2022, 2023, 2025.
Q4 ★★★ — Electromagnetic Induction
State and explain Faraday's laws of electromagnetic induction. Derive the expression for the EMF induced in a coil rotating in a uniform magnetic field.
Why expected: Faraday's laws + rotating coil = asked every year in some form.
Q5 ★★★ — Ray Optics
Derive the mirror formula: 1/v + 1/u = 1/f for a concave mirror. Draw the ray diagram.
Why expected: Mirror formula derivation = most consistently asked derivation in Ray Optics. Asked in 2021, 2022, 2023, 2024.
Q6 ★★★ — Ray Optics
Derive the lens maker's formula. Draw the ray diagram for refraction at a convex lens.
Why expected: Lens maker's formula = standard 5-mark derivation. Alternates with mirror formula.
Q7 ★★ — Dual Nature
Explain the photoelectric effect. State Einstein's photoelectric equation and explain each term.
Why expected: Photoelectric effect = standard 5-mark question. Einstein's equation with explanation asked in 2022, 2024.
Q8 ★★★ — Semiconductor Electronics
Explain the working of a p-n junction diode as a half-wave rectifier with a circuit diagram and waveforms.
Why expected: Rectifier = most asked semiconductor question. Half-wave rectifier asked in 2021, 2023, 2025.
Most Expected 3-Mark Questions
| Topic | Expected Question |
|---|---|
| Gauss's Law | State Gauss's law. Apply it to find E due to a uniformly charged sphere. |
| Kirchhoff's Laws | State Kirchhoff's current and voltage laws with examples. |
| Biot-Savart Law | State Biot-Savart law. Write its mathematical form. |
| Ampere's Circuital Law | State Ampere's circuital law. Apply it to a solenoid. |
| Lenz's Law | State Lenz's law. Explain with an example. |
| Total Internal Reflection | Define critical angle. State conditions for total internal reflection. |
| de Broglie Wavelength | Derive de Broglie wavelength formula. |
| Bohr's Postulates | State Bohr's postulates for hydrogen atom. |
| Logic Gates | Draw truth tables for AND, OR, NOT, NAND, NOR gates. |
Most Expected Numericals
| Chapter | Numerical Type |
|---|---|
| Current Electricity | Wheatstone bridge — find unknown resistance |
| Current Electricity | Kirchhoff's laws — find current in each branch |
| Ray Optics | Lens formula — find image position, magnification |
| Ray Optics | Prism — find angle of deviation, refractive index |
| Dual Nature | Photoelectric effect — find stopping potential, threshold frequency |
| Atoms | Bohr's model — find radius, energy of nth orbit |
| Nuclei | Radioactive decay — find half-life, remaining mass |
Chemistry — Most Expected Questions (70 marks theory)
Chapter-wise Marks Distribution
| Chapter | Marks | Priority |
|---|---|---|
| Solutions | 6-8 | High |
| Electrochemistry | 6-8 | High |
| Chemical Kinetics | 6-8 | High |
| Surface Chemistry | 3-4 | Low |
| d and f Block Elements | 6-8 | High |
| Coordination Compounds | 6-8 | High |
| Haloalkanes and Haloarenes | 4-6 | Medium |
| Alcohols, Phenols, Ethers | 4-6 | Medium |
| Aldehydes, Ketones, Carboxylic Acids | 6-8 | High |
| Amines | 4-6 | Medium |
| Biomolecules | 3-4 | Low |
Most Expected 5-Mark Questions
Q1 ★★★ — Solutions
Explain the following colligative properties with examples: (a) Elevation of boiling point (b) Depression of freezing point. Derive the relationship between molality and elevation of boiling point.
Why expected: Colligative properties = highest-weightage Solutions topic. Asked in 2021, 2022, 2024.
Q2 ★★★ — Electrochemistry
Explain the construction and working of a Daniel cell. Write the cell notation and calculate the EMF.
Why expected: Daniel cell = standard electrochemistry question. Cell notation + EMF calculation asked every year.
Q3 ★★★ — Chemical Kinetics
Derive the integrated rate equation for a first-order reaction. Define half-life and derive its expression.
Why expected: First-order kinetics + half-life = most asked Chemical Kinetics question. Asked in 2021, 2023, 2024, 2025.
Q4 ★★★ — d-block Elements
Explain the following properties of transition elements: (a) Variable oxidation states (b) Coloured compounds (c) Catalytic properties.
Why expected: Properties of transition elements = standard 5-mark question. Asked in 2022, 2023, 2025.
Q5 ★★★ — Coordination Compounds
Explain Werner's theory of coordination compounds. Give the IUPAC name of [Co(NH₃)₆]Cl₃.
Why expected: Werner's theory + IUPAC naming = standard coordination chemistry question.
Q6 ★★★ — Aldehydes and Ketones
Explain the following reactions of aldehydes: (a) Aldol condensation (b) Cannizzaro reaction (c) Tollens' test.
Why expected: Named reactions of aldehydes = most asked organic chemistry question. Asked every year.
Q7 ★★ — Amines
Explain the following reactions of amines: (a) Carbylamine reaction (b) Diazotisation (c) Coupling reaction.
Why expected: Amine reactions = standard 5-mark question. Diazotisation + coupling asked in 2022, 2024.
Most Expected 3-Mark Questions
| Topic | Expected Question |
|---|---|
| Solutions | Define osmotic pressure. State van't Hoff equation. |
| Electrochemistry | State Faraday's laws of electrolysis. |
| Chemical Kinetics | Define activation energy. Explain Arrhenius equation. |
| d-block | Why do transition metals form coloured compounds? |
| Coordination | Define ligand. Give examples of monodentate and bidentate ligands. |
| Haloalkanes | Explain SN1 and SN2 mechanisms with examples. |
| Alcohols | Explain Lucas test to distinguish primary, secondary, tertiary alcohols. |
| Carboxylic Acids | Explain Hell-Volhard-Zelinsky reaction. |
| Amines | Explain Hofmann bromamide reaction. |
Most Expected Numericals
| Chapter | Numerical Type |
|---|---|
| Solutions | Molarity, molality, mole fraction calculations |
| Solutions | Elevation of boiling point / depression of freezing point |
| Electrochemistry | Cell EMF using Nernst equation |
| Electrochemistry | Faraday's laws — mass deposited in electrolysis |
| Chemical Kinetics | Rate constant from concentration-time data |
| Chemical Kinetics | Half-life calculation for first-order reaction |
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Mathematics — Most Expected Questions (100 marks)
Chapter-wise Marks Distribution
| Chapter | Marks | Priority |
|---|---|---|
| Relations and Functions | 6-8 | High |
| Inverse Trigonometric Functions | 4-6 | Medium |
| Matrices and Determinants | 10-12 | High |
| Continuity and Differentiability | 8-10 | High |
| Applications of Derivatives | 6-8 | High |
| Integrals | 12-15 | High |
| Applications of Integrals | 4-6 | Medium |
| Differential Equations | 6-8 | High |
| Vector Algebra | 6-8 | High |
| Three Dimensional Geometry | 6-8 | High |
| Linear Programming | 4-6 | Medium |
| Probability | 6-8 | High |
Most Expected 5-Mark Questions
Q1 ★★★ — Matrices and Determinants
If A = [[1,2,3],[0,1,4],[5,6,0]], find A⁻¹ using the adjoint method. Verify that A·A⁻¹ = I.
Why expected: Matrix inverse using adjoint = most asked Matrices question. Asked in 2021, 2022, 2023, 2024, 2025.
Q2 ★★★ — Integrals
Evaluate: ∫(x² + 1)/(x⁴ + 1) dx using partial fractions.
Why expected: Integration by partial fractions = highest-weightage integration technique. Asked every year.
Q3 ★★★ — Integrals
Evaluate: ∫₀^(π/2) log(sin x) dx using the property ∫₀^a f(x)dx = ∫₀^a f(a-x)dx.
Why expected: Definite integral using properties = standard 5-mark question. This specific integral asked in 2022, 2024.
Q4 ★★★ — Differential Equations
Solve the differential equation: dy/dx + y·cot x = 2x + x²·cot x.
Why expected: Linear differential equation (integrating factor method) = most asked DE question.
Q5 ★★★ — Three Dimensional Geometry
Find the equation of the plane passing through three points A(1,1,0), B(1,2,1), C(-2,2,-1). Find the distance of the point (3,3,3) from this plane.
Why expected: Plane through 3 points + distance formula = standard 3D geometry question.
Q6 ★★★ — Probability
A bag contains 4 red and 6 blue balls. Two balls are drawn at random. Find the probability that: (a) both are red (b) one is red and one is blue (c) at least one is red.
Why expected: Probability with combinations = standard question. Asked in 2021, 2023, 2025.
Q7 ★★ — Applications of Derivatives
Find the maximum and minimum values of f(x) = x³ - 3x² + 3x - 1. Also find the points of inflection.
Why expected: Maxima/minima using second derivative test = standard application of derivatives question.
Most Expected 3-Mark Questions
| Topic | Expected Question |
|---|---|
| Relations and Functions | Prove that f(x) = 2x+3 is bijective. Find f⁻¹. |
| Inverse Trig | Prove: tan⁻¹(1/2) + tan⁻¹(1/3) = π/4 |
| Determinants | Solve the system of equations using Cramer's rule. |
| Continuity | Find the value of k for which f(x) is continuous at x=2. |
| Derivatives | Differentiate x^(sin x) with respect to x. |
| Integrals | Evaluate ∫ x·e^x dx using integration by parts. |
| Vectors | Find the angle between vectors a⃗ = 2î+3ĵ-k̂ and b⃗ = î-2ĵ+3k̂. |
| Linear Programming | Solve the LPP graphically: Maximise Z = 3x+4y subject to constraints. |
Biology — Most Expected Questions (70 marks theory)
Chapter-wise Marks Distribution
| Chapter | Marks | Priority |
|---|---|---|
| Reproduction in Organisms | 5-7 | High |
| Sexual Reproduction in Flowering Plants | 8-10 | High |
| Human Reproduction | 8-10 | High |
| Reproductive Health | 4-5 | Medium |
| Principles of Inheritance and Variation | 8-10 | High |
| Molecular Basis of Inheritance | 8-10 | High |
| Evolution | 4-6 | Medium |
| Human Health and Disease | 6-8 | High |
| Strategies for Enhancement in Food Production | 3-4 | Low |
| Microbes in Human Welfare | 3-4 | Low |
| Biotechnology: Principles and Processes | 5-7 | High |
| Biotechnology and Its Applications | 4-6 | Medium |
| Organisms and Populations | 4-6 | Medium |
| Ecosystem | 4-6 | Medium |
| Biodiversity and Conservation | 3-4 | Low |
| Environmental Issues | 3-4 | Low |
Most Expected 5-Mark Questions
Q1 ★★★ — Sexual Reproduction in Flowering Plants
Describe the structure of a mature angiosperm embryo sac (female gametophyte) with a neat labelled diagram.
Why expected: Embryo sac structure = most asked Botany question. Diagram + description asked in 2021, 2022, 2023, 2024, 2025.
Q2 ★★★ — Human Reproduction
Describe the process of spermatogenesis with a neat labelled diagram showing the stages.
Why expected: Spermatogenesis = most asked Human Reproduction question. Diagram mandatory.
Q3 ★★★ — Principles of Inheritance
Explain Mendel's law of independent assortment with a dihybrid cross. What is the phenotypic ratio in F2 generation?
Why expected: Dihybrid cross = standard genetics question. 9:3:3:1 ratio explanation asked every year.
Q4 ★★★ — Molecular Basis of Inheritance
Describe the process of DNA replication in prokaryotes. Explain the role of DNA polymerase, helicase, and ligase.
Why expected: DNA replication = most asked Molecular Biology question. Enzyme roles asked in 2022, 2023, 2025.
Q5 ★★★ — Molecular Basis of Inheritance
Explain the lac operon model of gene regulation in E. coli. Draw a neat diagram.
Why expected: Lac operon = standard 5-mark question. Diagram + explanation asked in 2021, 2023, 2024.
Q6 ★★★ — Biotechnology
Explain the process of PCR (Polymerase Chain Reaction) with a neat diagram. What are its applications?
Why expected: PCR = most asked Biotechnology question. Steps + diagram asked every year.
Q7 ★★ — Human Health and Disease
Explain the life cycle of Plasmodium (malarial parasite) in the human body and in the mosquito.
Why expected: Plasmodium life cycle = standard disease question. Asked in 2022, 2024.
Most Expected 3-Mark Questions
| Topic | Expected Question |
|---|---|
| Flowering Plants | Explain double fertilisation in angiosperms. |
| Human Reproduction | Describe the structure of a human sperm. |
| Reproductive Health | What is amniocentesis? Why is it banned in India? |
| Genetics | Explain codominance with an example (ABO blood groups). |
| Genetics | What is sex-linked inheritance? Explain with haemophilia. |
| Evolution | Explain Hardy-Weinberg principle. State its conditions. |
| Health | Explain the mechanism of action of antibiotics. |
| Biotechnology | What is recombinant DNA technology? Explain restriction enzymes. |
| Ecology | Explain the carbon cycle with a diagram. |
Preparation Priority Table
| Subject | Top 3 Chapters | Marks at Stake |
|---|---|---|
| Physics | Ray Optics, Current Electricity, Electric Charges | 25-30 |
| Chemistry | Aldehydes/Ketones, Electrochemistry, d-block | 20-25 |
| Mathematics | Integrals, Matrices, Probability | 30-35 |
| Biology | Molecular Basis, Genetics, Flowering Plants | 25-30 |
Frequently Asked Questions
How many derivations should I prepare for Physics?
Prepare at least 8-10 derivations: mirror formula, lens formula, Coulomb's law, Biot-Savart law, Faraday's law, de Broglie wavelength, Bohr's model energy, and rectifier working. These cover 25-30 marks.
Is integration the most important chapter in Maths?
Yes. Integration (Integrals + Applications of Integrals) carries 15-20 marks. Practice daily — standard forms, substitution, by parts, partial fractions, and definite integrals using properties.
How many organic reactions should I prepare for Chemistry?
Prepare all named reactions: Aldol condensation, Cannizzaro, Tollens' test, Fehling's test, Reimer-Tiemann, Kolbe's reaction, Sandmeyer reaction, Carbylamine reaction, Diazotisation, Coupling reaction, Hell-Volhard-Zelinsky, Hofmann bromamide. These cover 15-20 marks.
Where can I get previous year Karnataka PUC papers?
PUE Karnataka releases previous year papers at pue.karnataka.gov.in. Also available in Target Publications and Arihant Karnataka PUC guides.
Does the best-of-two system affect preparation strategy?
Yes. Since Exam 2 (May-June) is available for improvement, you can take Exam 1 as your primary attempt and use Exam 2 to improve specific subjects. But aim to do your best in Exam 1 — it also affects KCET rank.
Where can I check the latest official information?
Use the official sources listed at the end of this guide: PUE Karnataka official, Karnataka 2nd PUC blueprints 2026-27, Karnataka PUC previous year papers 2021-2026. Dates and rules can change, so check the latest notice there before you act on anything here.
Related Guides
- Karnataka 2nd PUC Exam 1 Strategy — Feb 27 to Mar 17 Subject Wise Plan 2027
- Karnataka PUC Best of Two and KCET — How Exam 2 Score Affects Engineering Rank 2027
- KCET 2027 — Complete Preparation Guide With Board Marks Weightage
- All Board Exams 2027 Master Calendar
- Karnataka 2nd PUC Commerce Important Questions 2027 — Accountancy, Business Studies, and Economics
- Karnataka PUC 2nd Year Exam 2 Booster - Blueprint Top 50 Science Questions 2027
Sources
- PUE Karnataka official — pue.karnataka.gov.in
- Karnataka 2nd PUC blueprints 2026-27 — pue.karnataka.gov.in
- Karnataka PUC previous year papers 2021-2026 — pue.karnataka.gov.in
- KSEAB — kseab.karnataka.gov.in
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