Class 11 & 12 PCMB Half-Yearly Exam Guide: Chapter-Wise Topics, Weightage & Question Patterns
Class 11 & 12 PCMB Half-Yearly Exam Guide: Chapter-Wise Topics, Weightage & Question Patterns.
Half-yearly exams are one of the most underrated tests of the academic year. They don't carry the weight of the board exam, but they set the tone for how the rest of the year goes — the habits, the confidence, and the exam temperament you build here carry straight into your final boards. For Class 11 and 12 students studying Physics, Chemistry, Maths, and Biology (PCMB), this is also usually the first real checkpoint on how well the foundation chapters have been understood.
Half-yearly exams typically cover the first 45-55% of the annual syllabus. In this guide, we've broken that portion down chapter by chapter for all four subjects across both classes, along with each chapter's importance level, the topics you absolutely cannot skip, and the type of questions that show up again and again in board-style papers.
A quick note before you start: the exact half-yearly portion can vary slightly between schools and state boards. This guide follows the standard NCERT chapter sequence that CBSE uses, which most state boards also closely follow — but it's worth cross-checking against your own school's syllabus notice just to be safe.
Class 11 Physics | Class 11 Chemistry | Class 11 Maths | Class 11 Biology
Class 12 Physics | Class 12 Chemistry | Class 12 Maths | Class 12 Biology | Last-Minute Revision Tips
Class 11 Physics — Half-Yearly Portion (Mechanics Unit)
The half-yearly portion usually covers Physics Part-I (Chapters 1-7). This is the foundation of all mechanics, and it happens to be the single highest-weightage section for both JEE and NEET as well — so time spent here pays off twice over.
| Chapter | Weightage | Must-Know Topics | Common Question Pattern |
|---|---|---|---|
| 1. Units and Measurements | Medium (2-3 marks) | SI units, significant figures, dimensional formula, error analysis | Dimensional analysis to check equation correctness; error calculation numericals |
| 2. Motion in a Straight Line | High (5-6 marks) | Velocity-time & position-time graphs, equations of motion, relative velocity | Graph-based numericals; derive equations of motion using calculus |
| 3. Motion in a Plane | High (5-6 marks) | Vector addition, projectile motion, circular motion, resultant velocity | Projectile range/height numericals; vector resolution problems |
| 4. Laws of Motion | Very High (6-7 marks) | Newton's three laws, friction, circular motion dynamics, pulley/block systems | Free-body diagram based numericals; banking of roads; friction coefficient problems |
| 5. Work, Energy and Power | High (5-6 marks) | Work-energy theorem, conservation of energy, elastic/inelastic collisions | Collision numericals (1D/2D); power calculation from work-time |
| 6. System of Particles and Rotational Motion | Very High (6-7 marks) | Centre of mass, torque, moment of inertia, angular momentum conservation | Moment of inertia of standard bodies; torque equilibrium numericals |
| 7. Gravitation | Medium-High (4-5 marks) | Kepler's laws, escape velocity, satellite motion, variation of g | Orbital velocity/time period derivations; escape velocity numericals |
Class 11 Chemistry — Half-Yearly Portion
This portion covers the foundation of Physical Chemistry, which directly feeds into Class 12 Physical Chemistry and forms one of the most heavily tested areas in NEET and JEE alike.
| Chapter | Weightage | Must-Know Topics | Common Question Pattern |
|---|---|---|---|
| 1. Some Basic Concepts of Chemistry | Medium (3-4 marks) | Mole concept, stoichiometry, limiting reagent, molarity/molality | Stoichiometry-based numericals; empirical/molecular formula problems |
| 2. Structure of Atom | High (5-6 marks) | Bohr's model, quantum numbers, electronic configuration, Aufbau principle | Electronic configuration of ions; quantum number based assertion-reason |
| 3. Classification of Elements and Periodicity | Medium (3-4 marks) | Periodic trends: atomic radius, ionization energy, electronegativity | Compare/arrange elements by trend; explain anomalies (e.g., ionization energy dips) |
| 4. Chemical Bonding and Molecular Structure | Very High (6-7 marks) | VSEPR theory, hybridization, molecular orbital theory, bond parameters | Shape prediction using VSEPR; hybridization identification; MOT bond order numericals |
| 5. Chemical Thermodynamics | High (5-6 marks) | Enthalpy, Hess's law, entropy, Gibbs free energy, spontaneity | Hess's law numericals; predict spontaneity from ΔG sign |
| 6. Equilibrium | Very High (6-7 marks) | Le Chatelier's principle, Kc/Kp, acid-base equilibrium, pH, buffer solutions | pH calculation numericals; ICE table based Kc problems; buffer capacity questions |
Class 11 Maths — Half-Yearly Portion
This is the core algebra and trigonometry portion, and it directly sets up the foundation for calculus in Class 12 — weak basics here tend to show up as struggles later, so it's worth getting genuinely comfortable with these chapters now.
| Chapter | Weightage | Must-Know Topics | Common Question Pattern |
|---|---|---|---|
| 1. Sets | Medium (2-3 marks) | Set operations, Venn diagrams, subsets, power sets | Venn diagram word problems; set-builder to roster form conversion |
| 2. Relations and Functions | High (4-5 marks) | Domain-range, types of functions, composition of functions | Find domain/range of given functions; verify function type (one-one/onto) |
| 3. Trigonometric Functions | Very High (7-8 marks) | Trigonometric identities, general solutions, sum-difference formulas | Prove trigonometric identities; solve general solution equations |
| 4. Complex Numbers and Quadratic Equations | High (5-6 marks) | Algebra of complex numbers, modulus-argument form, quadratic roots | Convert to polar form; find roots of quadratic with complex solutions |
| 5. Linear Inequalities | Medium (2-3 marks) | Solving linear inequalities, graphical representation | Solve and represent solution on number line; word problems |
| 6. Permutations and Combinations | High (5-6 marks) | Fundamental counting principle, nPr, nCr, circular permutations | Word-problem based selection/arrangement numericals |
| 7. Binomial Theorem | Medium-High (4-5 marks) | General term, middle term, binomial coefficients | Find specific term/coefficient in expansion; prove binomial identities |
Class 11 Biology — Half-Yearly Portion
This portion spans diversity, plant/animal morphology, and cell biology. It's also one of the highest-yield sections for NEET, especially the Cell chapter and the Plant/Animal Kingdom chapters.
| Chapter | Weightage | Must-Know Topics | Common Question Pattern |
|---|---|---|---|
| 1. The Living World | Medium (2-3 marks) | Taxonomic hierarchy, binomial nomenclature, taxonomic categories | Define/differentiate taxonomic terms; nomenclature rules based questions |
| 2. Biological Classification | High (4-5 marks) | Five kingdom classification, characteristics of Monera/Protista/Fungi | Compare kingdom characteristics in tabular form; identify examples |
| 3. Plant Kingdom | High (5-6 marks) | Algae, bryophytes, pteridophytes, gymnosperms classification & life cycle | Life cycle diagrams; distinguishing features between plant groups |
| 4. Animal Kingdom | Very High (6-7 marks) | Classification basis, phylum characteristics, examples | Phylum characteristic tables; identify phylum from given features |
| 5. Morphology of Flowering Plants | High (5-6 marks) | Root, stem, leaf, flower, fruit modifications | Diagram-based labeling; floral formula and floral diagram questions |
| 6. Anatomy of Flowering Plants | Medium-High (4-5 marks) | Tissue systems, secondary growth, internal structure of root/stem/leaf | Tissue diagram identification; anatomical differences dicot vs monocot |
| 7. Structural Organisation in Animals | Medium (3-4 marks) | Animal tissues, frog/earthworm/cockroach morphology | Tissue type identification; comparative anatomy short answers |
| 8. Cell: The Unit of Life | Very High (6-7 marks) | Cell organelles structure & function, prokaryotic vs eukaryotic cell | Organelle function matching; diagram-based labeling questions |
| 9. Biomolecules | High (5-6 marks) | Carbohydrates, proteins, enzymes, nucleic acids structure | Enzyme mechanism/factors affecting activity; structure-function questions |
Class 12 Physics — Half-Yearly Portion (Electricity & Magnetism)
This portion runs from electrostatics through to EM waves, and it's dense with both numericals and derivations. It's also core JEE/NEET territory, so mastering it now saves a lot of revision time later.
| Chapter | Weightage | Must-Know Topics | Common Question Pattern |
|---|---|---|---|
| 1. Electric Charges and Fields | High (5-6 marks) | Coulomb's law, electric field, Gauss's law applications | Gauss's law derivation for sphere/cylinder/sheet; field due to dipole numericals |
| 2. Electrostatic Potential and Capacitance | Very High (6-7 marks) | Potential due to charge/dipole, capacitor combinations, energy stored | Series-parallel capacitor numericals; potential energy of charge configuration |
| 3. Current Electricity | Very High (7-8 marks) | Ohm's law, Kirchhoff's laws, Wheatstone bridge, potentiometer | Kirchhoff's law circuit numericals; meter bridge/potentiometer based problems |
| 4. Moving Charges and Magnetism | High (5-6 marks) | Biot-Savart law, Ampere's law, force on current-carrying conductor | Magnetic field due to wire/loop/solenoid numericals; force between parallel currents |
| 5. Magnetism and Matter | Medium (3-4 marks) | Bar magnet as dipole, magnetic properties of materials, earth's magnetism | Dia/para/ferromagnetic property differences; bar magnet field numericals |
| 6. Electromagnetic Induction | High (5-6 marks) | Faraday's laws, Lenz's law, self and mutual inductance, eddy currents | EMF induced numericals; inductance of coil combinations |
| 7. Alternating Current | High (5-6 marks) | AC circuits (LCR), impedance, resonance, power factor | LCR circuit numericals; resonance frequency and Q-factor problems |
| 8. Electromagnetic Waves | Medium (2-3 marks) | EM spectrum, properties of EM waves, displacement current | EM spectrum sequence/uses based short answers |
Class 12 Chemistry — Half-Yearly Portion
This section combines Physical Chemistry (Solutions through Kinetics) with Inorganic Chemistry (d/f-block and Coordination Compounds) — both are heavy-weightage areas that reward careful, methodical revision.
| Chapter | Weightage | Must-Know Topics | Common Question Pattern |
|---|---|---|---|
| 1. Solutions | High (5-6 marks) | Colligative properties, Raoult's law, molality/molarity, van't Hoff factor | Colligative property numericals; abnormal molar mass problems |
| 2. Electrochemistry | Very High (6-7 marks) | Nernst equation, electrolysis, conductivity, EMF of cells | Nernst equation numericals; Kohlrausch's law based conductivity problems |
| 3. Chemical Kinetics | High (5-6 marks) | Rate law, order of reaction, integrated rate equations, Arrhenius equation | Rate constant/half-life numericals; graph-based order determination |
| 4. d- and f-Block Elements | Medium-High (4-5 marks) | Electronic configuration, oxidation states, magnetic properties, lanthanide contraction | Explain trends (oxidation state, color, magnetic behaviour) with reasons |
| 5. Coordination Compounds | Very High (6-7 marks) | Werner's theory, IUPAC nomenclature, isomerism, VBT/CFT | IUPAC naming of complexes; hybridization and magnetic property questions |
Class 12 Maths — Half-Yearly Portion
This is where calculus really begins — from Continuity all the way to Application of Derivatives. It's the most scoring part of Class 12 Maths, but only if you put in consistent practice rather than just reading through the theory.
| Chapter | Weightage | Must-Know Topics | Common Question Pattern |
|---|---|---|---|
| 1. Relations and Functions | Medium (3-4 marks) | Types of relations, one-one/onto functions, binary operations | Prove relation is equivalence relation; check function type |
| 2. Inverse Trigonometric Functions | Medium (2-3 marks) | Principal value branches, properties, simplification | Simplify expressions using ITF properties; find principal values |
| 3. Matrices | High (5-6 marks) | Matrix operations, types of matrices, inverse using adjoint | Solve for unknown matrix; prove matrix identities |
| 4. Determinants | Very High (6-7 marks) | Properties of determinants, Cramer's rule, area of triangle, inverse of matrix | System of equations using Cramer's rule/matrix method; property-based proofs |
| 5. Continuity and Differentiability | Very High (7-8 marks) | Continuity conditions, differentiation rules, chain rule, implicit differentiation | Check continuity/differentiability at a point; differentiate complex functions |
| 6. Application of Derivatives | High (5-6 marks) | Increasing/decreasing functions, maxima-minima, rate of change, tangent-normal | Optimization word problems (maxima-minima); tangent/normal equation numericals |
Class 12 Biology — Half-Yearly Portion
This portion covers Reproduction and the start of Genetics — and these are consistently among the highest-weightage chapters in NEET, particularly Molecular Basis of Inheritance.
| Chapter | Weightage | Must-Know Topics | Common Question Pattern |
|---|---|---|---|
| 1. Sexual Reproduction in Flowering Plants | High (5-6 marks) | Pollination, double fertilization, seed/fruit formation | Diagram-based structure identification; double fertilization process questions |
| 2. Human Reproduction | Very High (6-7 marks) | Male/female reproductive systems, gametogenesis, menstrual cycle | Diagram labeling; hormonal regulation of menstrual cycle questions |
| 3. Reproductive Health | Medium (2-3 marks) | Contraceptive methods, STDs, infertility & ART techniques | Compare contraceptive methods; ART technique (IVF, ZIFT etc.) short answers |
| 4. Principles of Inheritance and Variation | Very High (7-8 marks) | Mendel's laws, dihybrid/monohybrid cross, chromosomal theory, pedigree analysis | Cross ratio numericals (dihybrid/test cross); pedigree analysis problems |
| 5. Molecular Basis of Inheritance | Very High (7-8 marks) | DNA replication, transcription, translation, genetic code, Lac operon | Central dogma process-based questions; Lac operon regulation diagram questions |
Last-Minute Revision Tips
- Attack the high-weightage chapters first: Everything marked "Very High" above — Equilibrium, Current Electricity, Molecular Basis of Inheritance, and similar chapters — has consistently carried more marks year after year. If your time is limited, start there.
- NCERT, line by line, for Biology: Board questions in Biology are drawn almost directly from NCERT's own wording. Reading the textbook two or three times matters more than any external reference for this subject.
- Numerical subjects need practice, not just reading: For Physics, Maths, and the physical chemistry chapters, understanding the theory isn't enough — work through the NCERT in-text and exercise problems yourself, by hand.
- Diagrams matter in both Biology and Physics: Labeling-based questions show up often. Ten minutes a day of diagram practice compounds fast.
- Practice the question patterns above: For each chapter, try two or three practice questions that match the pattern listed in the tables before you sit the exam.
If your school is covering a different portion, or you want a deeper dive into any one chapter above, drop a comment below — the next post will pick up from there.
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