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Official papers · Class 10

Class 10 sample papers 2026–27

Find the official CBSE Maths and Science papers and marking schemes. Choose the right paper and plan your practice.

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Start here · Class 12

CBSE Class 12 Board Exam Preparation 2026–27: Complete Study Hub

Build a realistic CBSE Class 12 board plan for Maths, Physics and Chemistry with official resources, weekly checkpoints and guidance for parents.

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Free tool · Class 10 Maths

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12 resources

Class 12 Maths

Exam guide

CBSE Class 12 Maths Syllabus 2026–27: What to Study and How to Plan

Understand the CBSE Class 12 Mathematics 2026–27 syllabus, how to sequence practice, and where to check the official curriculum and board papers.

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Sample paper

Class 12 Maths sample paper 2026–27

Get the official CBSE paper and marking scheme, then review your working and choose what to practise next.

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Exam guide

CBSE Class 12 Maths Important Chapters and Weightage 2026–27: What the Official Syllabus Says

See official CBSE Class 12 Maths unit weightage for 2026–27, why chapter-wise marks are not guaranteed, and how to prioritise Calculus, Algebra, Vectors and more.

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Exam guide

Class 12 Maths 30-Day Study Plan: Daily Practice, Mock Papers and Parent Checkpoints

Follow a practical 30-day CBSE Class 12 Maths revision plan covering diagnosis, Calculus, Algebra, Vectors, Probability, timed papers and error correction.

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Exam guide

CBSE Class 12 Applied Maths Sample Paper 2026–27: Official PDF and Marking Scheme

Download the official CBSE Class 12 Applied Mathematics 2026–27 sample paper and marking scheme, understand its 38-question pattern and review your mock correctly.

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Practice

Class 12 Applications of Derivatives: Practice and Worked Solutions

Explore slopes in an interactive Class 12 calculus lab, then practise derivative sign tests, rates and maxima/minima with hints, worked solutions and retests.

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Practice

Class 12 Matrix Multiplication: Questions and Worked Solutions

Practise Class 12 matrix multiplication with dimension checks, row-by-column solutions, non-commutativity examples and independent retests.

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Practice

Class 12 2 × 2 Determinants and Inverses: Worked Practice

Practise 2 × 2 determinants, inverses and solving a system with original worked questions, sign checks and changed retests.

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Practice

Class 12 Continuity and Differentiability: Joins and Chain Rule

Practise continuity at piecewise joins, differentiability at a corner and the chain rule with original Class 12 questions and worked solutions.

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Practice

Class 12 Integration by Substitution: Spot the Inner Derivative

Choose substitutions, preserve missing factors and check antiderivatives with original integration practice and worked solutions.

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Practice

Class 12 Definite Integrals: Signed Area, Limits and Symmetry Practice

Understand signed integrals versus geometric area through original examples, symmetry checks and independent retests.

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Practice

Class 12 Conditional Probability Practice: Change the Sample Space

Practise conditional probability, independence and Bayes reasoning with original small-number examples and worked corrections.

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9 resources

Class 12 Physics

Exam guide

CBSE Class 12 Physics Syllabus 2026–27: Units, Numericals and Revision

A practical guide to the official CBSE Class 12 Physics 2026–27 curriculum, numericals, diagrams, practical work and board-paper preparation.

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Sample paper

Class 12 Physics sample paper 2026–27

Get the official CBSE paper and marking scheme. Check your answers, then practise the topics you found difficult.

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Exam guide

CBSE Class 12 Physics Important Chapters and Weightage 2026–27: A Reliable Priority Guide

Use official CBSE Class 12 Physics grouped weightage for 2026–27 to prioritise Optics, Electricity, Magnetism, Modern Physics and Electronic Devices accurately.

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Exam guide

CBSE Class 12 Physics Practical and Viva 2026–27: Experiments, Record and Preparation

Prepare for the 30-mark CBSE Class 12 Physics practical, viva, experiments, activities, investigatory project and record using the official 2026–27 scheme.

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Practice

Class 12 Capacitance Practice: Battery Connected or Disconnected?

Compare fixed-charge and fixed-voltage capacitors with original numerical questions, energy checks, hints and changed retests.

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Practice

Class 12 Current Electricity Numericals: EMF, Internal Resistance and Power

Separate cell EMF from terminal voltage and practise circuit current, power and resistance with original worked questions.

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Practice

Class 12 Electromagnetic Induction: Flux, Units and Lenz's Law Practice

Calculate average induced EMF and explain current direction with original flux questions, unit checks and independent retests.

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Practice

Class 12 Lens Formula Practice: Signs, Images and Magnification

Practise Class 12 thin-lens numericals with Cartesian signs, a worked ray diagram, magnification checks and independent retests.

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Practice

Class 12 Photoelectric Effect: Energy, Intensity and Stopping Potential Practice

Distinguish photon energy from intensity with original photoelectric questions, eV conversions and independent worked retests.

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4 resources

Class 12 Chemistry

20 resources

Class 10 Maths

Exam guide

CBSE Class 10 Maths Revision: Basic vs Standard and a Board Study Plan

Plan CBSE Class 10 Maths revision, check Basic vs Standard with your school, and choose practice from method errors, formula gaps and paper timing.

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Exam guide

CBSE Class 10 Maths Question Papers: Standard, Basic and a Practice Plan

Find official CBSE Class 10 Maths Standard and Basic papers and learn how to practise, mark and correct them for board preparation.

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Exam guide

Class 10 Quadratic Equations: Practice and Worked Solutions

Original Class 10 quadratic-equation practice with worked solutions: factorisation, discriminants, word problems and case studies, plus a short retest.

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Exam guide

Class 10 Arithmetic Progressions: Practice and Worked Solutions

Practise Class 10 arithmetic progressions with original nth-term, sum, word-problem and case-study questions, worked solutions and an independent retest.

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Practice

Class 10 Linear Equations Practice: Model, Eliminate and Check

Turn word problems into two equations, distinguish solution types and check original answers with guided practice and retests.

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Practice

Class 10 Polynomials Practice: Zeroes, Signs and Coefficients

Connect quadratic zeroes with coefficients, build polynomials from roots and catch sign errors through original practice.

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Practice

Class 10 Coordinate Geometry Practice: Distance and Internal Division

Practise distances, midpoints and section ratios with original coordinate questions, reasonableness checks and retests.

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Practice

Class 10 Trigonometry Practice: Choose Sides Before Ratios

Build sine, cosine and tangent from labelled triangles and solve original identity and height questions with retests.

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Practice

Class 10 Probability Practice: Count Outcomes Without Double-counting

Practise equally likely outcomes, complements and two-dice counting with original worked questions and independent retests.

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Method guide

Class 10 HCF and LCM Word Problems: Which Method to Use?

Choose HCF or LCM for Class 10 word problems using worked grouping and repeating-event examples, prime factors and checks.

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Visual explainer

Class 10 Similar Triangles: Corresponding Sides and Ratios

Match vertices and corresponding sides in Class 10 similar triangles. Compare AA, SSS and SAS criteria and follow a worked ratio example.

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Visual explainer

Class 10 Circle Tangent Theorems: Lengths and Angles

Use the radius-tangent and equal-tangent theorems in Class 10 circle problems, with diagrams and worked length and angle examples.

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Visual explainer

Class 10 Sector and Segment Area: Formulas and Example

Compare sector and segment area in Class 10 Maths. Follow a quarter-circle example and distinguish arc length, perimeter and area.

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Method guide

Class 10 Surface Area and Volume of Combined Solids

Calculate exposed surface area and volume for a cylinder joined to a hemisphere. Check hidden faces, open bases and units in Class 10 Maths.

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Reference guide

Class 10 Grouped Data: Mean, Median and Mode Explained

Calculate mean, median and mode from one grouped frequency table. Identify class marks, cumulative frequencies and the correct classes.

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Comparison guide

Class 10 Linear Equations: One, No or Infinite Solutions

Compare intersecting, parallel and coincident lines using worked equation pairs. Interpret contradictions and identities in Class 10 Maths.

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Method guide

Class 10 Quadratics: Choose a Method From the Equation

Compare equations with obvious, irrational and inadmissible roots. Choose factorisation or the quadratic formula and check the original conditions.

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Exam-writing guide

Class 10 Maths Proof Writing: Reasons and Worked Example

Follow an irrationality proof, organise geometry reasons and avoid circular arguments with this focused Class 10 Maths proof-writing guide.

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Reference guide

Class 10 Maths Formulas: Chapter-Wise Reference, Conditions and Examples

Revise Class 10 Maths formulas with symbol meanings, conditions, worked checks and a printable reference for algebra, geometry, trigonometry and statistics.

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Comparison guide

Class 10 Maths Tuition: One-to-One or Small Group?

Compare private and small-group Class 10 Maths tuition by pace, feedback, peer learning and cost. Check the current TutorMax one-to-one offer and demo format.

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21 resources

Class 10 Science

Exam guide

CBSE Class 10 Science Revision: Scope Checks and a Branch-Wise Plan

Plan Class 10 Science revision with branch-specific tasks, official sample papers and a clear warning about conflicting 2026–27 assessment-scope notes.

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Exam guide

CBSE Class 10 Science Question Papers: How to Practise and Review

Use official CBSE Class 10 Science previous papers and sample papers with a branch-wise review plan for Physics, Chemistry and Biology.

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Comparison guide

Class 10 Mirror and Lens Sign Conventions Compared

Compare mirror and lens formulas, Cartesian signs and magnification in Class 10 Science, with two worked real-image calculations.

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Comparison guide

Class 10 Myopia vs Hypermetropia: Lenses and Correction

Compare myopia and hypermetropia, image position and corrective lenses in Class 10 Science. Includes a worked lens-power calculation.

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Comparison guide

Class 10 Series and Parallel Resistance: Worked Comparison

Series vs parallel resistance explained with labelled circuit nodes, current and voltage comparisons, worked calculations and a self-check for Class 10 learners.

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Reference guide

Class 10: Right-Hand Thumb Rule vs Fleming’s Left-Hand Rule

Right-hand thumb rule vs Fleming’s left-hand rule: choose the correct rule, read dot/cross diagrams and check magnetic field or force direction.

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Method guide

Balancing Chemical Equations Class 10: Steps and Example

Balance aluminium reacting with oxygen using coefficients and an atom-count table. Learn why changing subscripts changes the substances.

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Concept guide

Class 10 pH Scale: Acids, Bases and Neutralisation

Interpret pH and litmus changes, distinguish acid strength from concentration and check neutralisation assumptions in Class 10 Science.

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Concept guide

Class 10 Metal Reactivity: Displacement and Corrosion

Use iron and copper displacement to compare metal reactivity. Explain rusting, painting and galvanising in this focused Class 10 guide.

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Reference guide

Class 10 Carbon Compounds: Bonds and Homologous Series

Compare saturated and unsaturated compounds, recognise functional groups and identify a homologous series in Class 10 Science.

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Process guide

Class 10 Life Processes: How the Four Processes Connect

Connect nutrition, respiration, transport and excretion. Compare breathing with cellular respiration in a focused Class 10 concept guide.

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Process guide

Class 10 Reflex Arc and Nervous vs Hormonal Control

Trace a withdrawal reflex from receptor to effector, compare nervous and hormonal signalling, and explain a shoot’s response to light.

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Process guide

Class 10 Pollination vs Fertilisation and Seed Formation

Distinguish pollination, fertilisation and germination in flowering plants. Follow the stages from pollen transfer to seed formation.

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Worked explanation

Class 10 Monohybrid Cross: Punnett Square and Ratios

Understand a monohybrid cross with a labelled Punnett square, genotype vs phenotype ratios, probability assumptions and a changed-cross self-check.

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Concept guide

Class 10 Food Chains: Energy Flow and the 10 Percent Law

Read food-chain arrows and calculate energy transfer with the approximate ten-percent model. Compare biodegradation and biomagnification.

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Exam-writing guide

Class 10 Science Diagrams: Repair a Mislabelled Reflex Arc

Compare an incorrect and corrected withdrawal-reflex diagram, then check ray constructions. Learn to verify labels, arrow direction and scientific relationships.

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Exam-writing guide

Class 10 Science Numericals: Audit Units, Time and Signs

Compare lens power, electrical energy and resistivity calculations. Diagnose centimetre, hour and area-conversion errors with checked original examples.

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Exam-writing guide

Class 10 Science: How to Read Case-Based Questions

Use a small dataset to distinguish observation from inference. Check variables, units and evidence before answering Science case-based questions.

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Exam guide

CBSE Class 10 Science Sample Paper 2026–27: Biology MCQs Q1–9 Explained

Watch TutorMax's 12:33 Biology walkthrough of CBSE Class 10 Science sample-paper questions 1–9. Jump to a question, revisit the reasoning and try fresh practice.

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Exam guide

CBSE Class 10 Science Sample Paper 2026–27: Chemistry MCQs Q17–24 Explained

Watch TutorMax's 13:00 walkthrough of Chemistry Q17–24 in the CBSE Class 10 Science sample paper. Jump to a question, revisit its reasoning and try fresh practice.

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Exam guide

CBSE Class 10 Science Sample Paper 2026–27: Physics MCQs Q30–32 Explained

Watch TutorMax's 5:46 walkthrough of Physics Q30–32 in the CBSE Class 10 Science sample paper. Jump to a question, revisit its reasoning and try fresh practice.

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2 resources

Class 9

6 resources

Cambridge & ICSE

4 resources

Maths foundations

5 resources

School planning

8 resources

Language exams

Exam guide

DELE Exam in India 2026–27: Dates, Fees, Levels, Centres and Format

Verified DELE 2026–27 dates, India fees and centres, registration status, levels, exam format and preparation guidance from official Cervantes sources.

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Exam guide

DELF Exam in India: Levels, Format, Centres and How to Prepare

DELF exam guide for India: levels A1 to B2, paper pattern and pass marks, Alliance Française test centres, registration, and a preparation plan with 1-on-1 online classes.

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Exam guide

Goethe-Zertifikat in India: A1 to C2 German Exam Guide

Goethe-Zertifikat guide for India: which level you need for visas, work and study, exam format and modules, Goethe-Institut (Max Mueller Bhavan) centres, and how to prepare online.

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Exam guide

DELE A1 Exam Guide: Format, Tasks, Scoring and Preparation

Understand the DELE A1 exam format, paper timings, speaking and writing tasks, pass rules, official practice material and a practical preparation plan.

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Exam guide

DELE A2 Exam Guide: Format, Tasks, Scoring and Preparation

See the DELE A2 exam format, timings, speaking and writing tasks, pass rules, official model papers and an evidence-based preparation plan.

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Exam guide

DELE B1 and B2 Exam Guide: Differences, Format and Preparation

Compare DELE B1 and B2 paper formats, timings, speaking and writing tasks, pass rules, official materials and preparation priorities.

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Exam guide

DELE vs SIELE: Which Spanish Exam Should You Take?

Compare DELE and SIELE by proof, format and validity, then check sitting-specific result windows against your application evidence deadline with a worked example.

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Exam guide

Is Goethe B2 Enough for University?

Use two TUM degree examples and a document checklist to distinguish teaching language, accepted German certificates and proof deadlines before choosing an exam.

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