Free CBSE Solver
Paste any CBSE question — Maths or Science, Class 6 to 12 — and get NCERT-aligned step-by-step working. Built to match CBSE marking schemes so you earn every method mark.
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A worked CBSE Class 10 quadratic — the method the examiner wants
Below is one fully worked example plus a short primer so you can see exactly how our AI reasons through a problem.
Example Problem
DEMO- 1
Identify a, b, c from the standard form ax² + bx + c = 0
Marking-scheme tip: always write a, b, c explicitly on a separate line. CBSE awards a method mark for this identification.
- 2
Write the quadratic formula (method mark)
Write it before substituting — examiners give a method mark for stating the formula even if later arithmetic is wrong.
- 3
Compute the discriminant
D > 0 means two distinct real roots.
- 4
Substitute into the formula
- 5
Compute both roots separately
- 6
State the final answer clearly
The roots are x = 5 and x = −2. CBSE marking scheme: full 3 marks for the correct method AND both roots written separately.
Final Answer
CBSE strategy — NCERT first, marking-scheme second
CBSE (Central Board of Secondary Education) is the most widely followed board in India, with the Class 10 and Class 12 exams as the two major checkpoints. The syllabus is defined by NCERT textbooks — what's in your NCERT is what appears on the board paper, with minor additions from the CBSE sample paper. The solver above follows the exact NCERT method for every topic so your working matches the marking scheme.
Marking schemes reward METHOD, not just answers. A three-mark CBSE Maths question is typically split: 1 mark for setup (identify formula, draw diagram, state given/find), 1 mark for correct substitution and working, 1 mark for the final answer. Students who jump straight to the final answer lose 50–66% of their marks even when the final answer is correct. The solver's output is explicitly structured this way — setup, method, final answer, each labelled — so you learn the discipline CBSE rewards.
Class 10 Maths focuses on real numbers, polynomials, pair of linear equations, quadratic equations, arithmetic progressions, coordinate geometry, trigonometry (including heights & distances), circles, areas and volumes, and statistics/probability. Class 12 Maths adds relations & functions, inverse trigonometry, matrices and determinants, continuity and differentiability, integration, differential equations, vector algebra, 3D geometry, linear programming, and probability. Class 12 Science splits into Physics, Chemistry, Biology with heavy chapter-by-chapter expectations.
The CBSE board paper structure is predictable: 20 MCQs (1 mark), 5 two-mark questions, 6 three-mark questions, 4 five-mark questions, 3 case-study questions. The pattern has been stable since 2021. Practice to THAT structure, not just to the chapters — time yourself on a mock sample paper to build exam-hall stamina. The solver helps with the per-question part; for structure, use CBSE's official sample papers.
CBSE questions to practise (Class 10 + 12 pattern)
Tap any problem to solve it with full step-by-step working.
- Solve with AI →1.Arithmetic ProgressionCBSE Class 10Easy
- Solve with AI →2.Real NumbersCBSE Class 10Medium
- Solve with AI →3.IntegrationCBSE Class 12Medium
- Solve with AI →4.Matrices & DeterminantsCBSE Class 12Medium
- Solve with AI →5.Pythagoras / TrianglesCBSE Class 10Easy
Exam at a Glance
CBSE — Pattern & Structure
CBSE (Central Board of Secondary Education) is India's most widely followed school board, with over 27,000 affiliated schools across the country. The Class 10 and Class 12 board examinations are the two high-stakes checkpoints — Class 10 results influence stream selection, while Class 12 marks determine eligibility for engineering (JEE), medical (NEET), and central university admissions. The syllabus is defined by NCERT textbooks, and the board releases an official sample paper and marking scheme every November before the March exam.
38
Total Questions
80
Total Marks
180
Minutes
No negative marking — full or zero per sub-part
Marking Scheme
Question Distribution by Subject
| Subject | Questions | Marks |
|---|---|---|
| Section A — MCQ & Assertion-Reason (1M each) | 20 | 20 |
| Section B — Very Short Answer (2M each) | 5 | 10 |
| Section C — Short Answer (3M each) | 6 | 18 |
| Section D — Long Answer (5M each) | 4 | 20 |
| Section E — Case Study (4M each) | 3 | 12 |
| Total | 38 | 80 |
Topics
Important Topics & Strategy by Subject
Class 10 Mathematics
Class 10 Maths is fully NCERT-based — every exam question traces directly to an NCERT exercise or example. The highest-weight chapters are Real Numbers, Quadratic Equations, Arithmetic Progressions, Coordinate Geometry, and Trigonometry (including Heights and Distances). Practise all NCERT exercises first, then the CBSE official sample paper, then previous-year PYQ from 2018–2024. Section E (case study) is the highest-mark single section — practice reading the passage and extracting the two sub-parts efficiently.
- Real Numbers — Euclid's division algorithm, fundamental theorem of arithmetic, decimal expansions
- Polynomials — relationship between zeroes and coefficients, division algorithm
- Pair of Linear Equations — graphical and algebraic methods (substitution, elimination, cross-multiplication)
- Quadratic Equations — factorisation, completing the square, quadratic formula, discriminant
- Arithmetic Progressions — nth term, sum of n terms, arithmetic mean
- Triangles — similarity criteria, Pythagoras theorem and its converse
- Coordinate Geometry — section formula, area of triangle, distance formula
- Introduction to Trigonometry — ratios, identities, complementary angles
- Heights and Distances — angle of elevation and depression, single-observer problems
- Statistics and Probability — mean/median/mode for grouped data, classical probability
Class 12 Mathematics
Class 12 Maths is deeper and more calculation-heavy than Class 10. Calculus (Continuity, Derivatives, Integrals) contributes roughly 44 marks out of 80 — master this section first. Matrices and Determinants is the easiest high-weight topic and reliably yields 10 marks with minimal effort. Vectors and 3D Geometry is predictable in pattern and highly scoring. Probability (Bayes' theorem, binomial distribution) is the last chapter but appears every year and is worth the preparation time.
- Relations and Functions — types of functions, composition, invertibility, binary operations
- Inverse Trigonometry — principal values, properties, simplification identities
- Matrices and Determinants — operations, transpose, adjoint, inverse, system of equations (Cramer's rule)
- Continuity and Differentiability — chain rule, implicit differentiation, Rolle's and MVT
- Applications of Derivatives — tangent/normal, increasing/decreasing, maxima and minima, rate of change
- Integrals — standard forms, substitution, integration by parts, partial fractions
- Definite Integrals and Area — properties, area between curves, CBSE-favourite limit-sum method
- Differential Equations — formation, variable separable, linear (integrating factor), homogeneous
- Vectors and 3D Geometry — dot/cross products, planes, lines, angle between lines/planes, shortest distance
- Linear Programming and Probability — graphical LPP, conditional probability, Bayes, binomial distribution
Class 10 & 12 Science
CBSE Science at Class 10 splits into Physics, Chemistry, and Biology chapters within a single paper; at Class 12 they become separate 70-mark theory papers. For Class 10, focus on Electricity, Magnetic Effects, Chemical Reactions and Equations, Carbon Compounds, Life Processes, and Heredity — these chapters combined yield the most exam marks. For Class 12, follow the official chapter weightage published by CBSE each year; Optics and Electrostatics (Physics), Organic Chemistry reactions (Chemistry), and Genetics + Ecology (Biology) are perennially high-weight.
- Electricity and Magnetic Effects (Class 10) — Ohm's law, series/parallel, Fleming's rules
- Chemical Reactions and Equations — types of reactions, balancing, corrosion, rancidity
- Acids, Bases and Salts — neutralisation, pH, salts, cleaning action of soap
- Carbon and Its Compounds — functional groups, nomenclature, reactions of ethanol and acetic acid
- Life Processes — nutrition, respiration, transportation, excretion
- Class 12 Optics — reflection, refraction, lenses, wave optics (YDSE, diffraction)
- Class 12 Electrostatics and Current Electricity — Gauss law, capacitors, Kirchhoff's laws
- Class 12 Organic Chemistry — alcohols, aldehydes, ketones, carboxylic acids, named reactions
- Class 12 Genetics and Evolution — Mendel's laws, DNA replication, mutations, Hardy-Weinberg
- Class 12 Ecology — ecosystems, energy flow, nutrient cycling, biodiversity and conservation
Preparation
Study Plan — Phase by Phase
A structured timeline built around how top scorers actually prepare.
April–June (Foundation Phase)
Cover every NCERT chapter thoroughly — read the text, do all Examples in the chapter, then all Exercise questions. Do not skip the Miscellaneous or Additional Exercise. Write formulae and theorems in a separate revision notebook as you go. By the end of June you should have touched every chapter at least once.
July–September (NCERT Mastery)
Reattempt every NCERT exercise from memory, without re-reading the chapter. Chapters where you need to re-read before solving are your weak chapters — flag them for extra practice. Supplement with CBSE Exemplar problems for Maths and Science; these are harder than the standard exercises and cover the same concepts in unfamiliar ways.
October–November (Sample Paper & PYQ)
Download the CBSE official sample paper (released every November) and solve it under timed conditions. Then solve 5 years of CBSE PYQ papers under exam conditions. Analyse your performance: note which question types you skip and which sections eat most of your time. Adjust your time-allocation strategy based on real data.
December–January (Topic Revision)
Revisit the flagged weak chapters with targeted practice — CBSE Exemplar + PYQ questions from just that chapter. Memorise the marking-scheme structure: setup (1M) + method (1M) + answer (1M) for 3-mark questions, so you never lose method marks. Prepare a one-page formula sheet per subject.
February–March (Final 4 Weeks)
Solve one complete mock paper every two days under strict exam conditions — 3 hours, no breaks, no phone. Review errors the same day. In the final week, only revise formula sheets and your personal error log. Sleep 8 hours; cognitive fatigue costs more marks than any topic you'd cram the night before.
Frequently asked questions
Is the solver aligned with the latest CBSE syllabus?+
Yes — NCERT Class 6 to 12 syllabus, including the 2024–25 curriculum changes. The solver detects the class from your question (e.g. recognises 'Real Numbers' as Class 10 and 'Continuity and Differentiability' as Class 12) and applies the method each NCERT chapter uses.
Does it follow the CBSE marking scheme?+
Yes — the output is explicitly structured as setup, method, final answer. Each step is labelled so you learn to write like the marking scheme expects. Students who adopt this discipline typically gain 5–15 marks on a 100-mark paper without knowing more content.
Can I upload CBSE sample papers or my school's mock?+
Yes — upload as PDF or photograph individual questions. The solver returns one solution per question detected on the page, so a full 30-question sample paper can be processed in one session.
Does it cover both Maths and Science?+
Yes. Maths Class 6–12 and Science (Physics, Chemistry, Biology) Class 6–12 are covered. Class 11 and 12 Science splits into three subjects, each with their own NCERT textbooks.
How is this different from the CBSE NCERT solutions books?+
The NCERT solutions books give the answer to each exercise question, one by one. This solver solves ANY question — including ones not in NCERT, sample paper questions, previous year papers, your school's test questions, and competition-style extensions. Plus it shows the working in a marking-scheme-aware format.
Does it work for CBSE Class 9 and Class 8?+
Yes — Class 6 to 12 are all covered. Maths is primary; Science coverage for Class 6–8 is solid; Class 9 and 10 Science questions get full step-by-step working.
Is it free for CBSE students?+
Yes. One guest solve per day without signup; a free account gives 5 daily solves plus NCERT-aligned flashcards, topic quizzes, and CBSE Class 10 / Class 12 study planners. Step-by-step working is never paywalled.
What about CBSE Hindi-medium students?+
The solver currently works in English. Paste the Hindi-medium question in English or English-with-formula-mix and the output is English. We're working on bilingual output for a future release.
Board exam ready — sign up on the free plan
Free account in 10 seconds: 5 daily NCERT-aligned solves, sample-paper quizzes, formula flashcards, and a Class 10 / Class 12 study planner. No credit card.
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