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Class 10 (041 / 241) · Class 12 (065 / Applied 241) · NEP 50/20/30

CBSE Maths Question Paper Generator

You opened Word for a Class 12 paper. Six hours later, the matrix still won't align.

Class 12 Maths (Code 065) needs a 5-section paper — 18 MCQs + 2 Assertion-Reason, 5 VSA, 6 SA, 4 LA, 3 Case Study = 38 questions / 80 marks. The definite integral you typed in Section D shifted on PDF export. The circle diagram in Q15 turned into a pixelated blob. The marking scheme is still blank.

Pick the class. Pick the chapters. Hit generate. LaTeX renders every integral and matrix at textbook precision. HD vector geometry diagrams. Step-by-step marking scheme generated alongside. Set A/B/C with value rotation in one click.

041
Class 10 Standard code
241
Class 10 Basic code
065
Class 12 Maths code
38
Questions / 80 marks
CBSE Maths 2025-26 blueprint · Same structure Class 10 + 12

5 sections. 38 questions. 80 marks. Applied automatically.

Same structure for Class 10 (Standard 041 / Basic 241) and Class 12 (Maths 065 / Applied 241). Difficulty calibration differs; sections are identical.

Section A
20

MCQ + A-R

18 MCQs + 2 Assertion-Reason × 1 mark each

Section B
10

VSA

5 Very Short Answer × 2 marks each

Section C
18

SA

6 Short Answer × 3 marks each

Section D
20

LA

4 Long Answer × 5 marks each

Section E
12

Case Study

3 Case Study × 4 marks each

Section-wise totals (Class 10 + 12 same structure)

38
Total questions
80
Theory marks
20
Internal marks
3 hrs
Duration

Internal choice provided in 2 questions each in Sections B, C, D and 3 questions in Section E. No overall choice. NEP 2020 50/20/30 blueprint applied — 50% competency-based, 20% objective MCQ, 30% constructed response.

References: CBSE Class 10 Mathematics Syllabus 2025-26 (Standard Code 041, Basic Code 241); CBSE Class 12 Mathematics Syllabus 2025-26 (Code 065); CBSE Sample Question Paper 2025-26 with marking scheme; NEP 2020 competency-based assessment framework.

Which Maths course?

Standard, Basic, Maths, Applied Maths — platform picks the right calibration.

Class 10 · CBSE Mathematics

Standard vs Basic — same syllabus, different difficulty.

Identical 7 units. Identical 5-section structure. Difference is in question difficulty per section.

Code 041 For Class 11+

Maths Standard

For students continuing Mathematics in Class 11 — Science stream or Commerce with Maths. Includes harder application-based and analytical questions. Higher-order Trigonometry, complex Coordinate Geometry, advanced Probability.

Code 241 For non-Maths streams

Maths Basic

For students NOT continuing Maths in Class 11 — Commerce without Maths, Humanities. Same syllabus but simpler problem-solving. Direct formula application questions, less analytical depth, fewer multi-step applications.

Class 12 · CBSE Mathematics

Maths vs Applied Maths — different syllabus, different scope.

Two genuinely different subjects, not just difficulty levels. Choose based on student's stream.

Code 065 Science stream

Mathematics

For Science stream students — JEE/NEET aspirants, engineering-bound students. Rigorous calculus, advanced algebra, vector and 3D geometry. Covers Relations & Functions, Matrices & Determinants, Integrals, Differential Equations, Vectors & 3D Geometry, Linear Programming, Probability.

Code 241 Commerce / Humanities

Applied Mathematics

For Commerce, Humanities, Social Science students — practical application focus. Covers Numbers and Quantification, Algebra, Calculus, Probability, Inferential Statistics, Index Numbers and Time-based Data, Financial Mathematics. CA/CS/business career-aligned.

Four challenges · solved

Why Maths papers take longer than any other subject.

Pillar 1
📐

Equation editor is a nightmare

Typing a definite integral with limits in Word requires navigating four menus. The output looks slightly wrong on different computers. PDF export often breaks. Matrices never align. Square roots become tildes. Faculty workarounds — exporting to Latex Editor, pasting back as image — take hours.

Solved: Dedicated LaTeX engine for every equation type. Integrals, matrices, derivatives, trigonometric identities render at textbook precision. SVG output — no PDF corruption.

Pillar 2
📊

Geometry diagrams in Word

A circle-with-tangent question needs a diagram. Teacher draws it in Paint and pastes — blurry, low-resolution, distorts on print. Or spends 20 minutes in Word's shape editor approximating a circle. A4 print reveals all distortions. Students complain the diagram doesn't match the question.

Solved: HD vector geometry library. One-click insertion of circles, triangles, coordinate axes, calculus curves. Scales perfectly at any size. No paste corruption.

Pillar 3
📝

Step-by-step marking is its own task

CBSE evaluators award marks per step. A 5-mark integration question gets — 1 mark for the approach, 0.5 marks for substitution, 2 marks for intermediate work, 1 mark for limits, 0.5 marks for final answer. Writing this correctly for 38 questions takes another full hour after the paper is done.

Solved: Step-by-step marking scheme auto-generated alongside every paper. Same format CBSE evaluators use. No manual rewriting.

Pillar 4
🔁

Set A/B/C without creating 3 papers

Board mock exams need 2-3 sets to prevent adjacent-student copying. Traditional solution: write 3 different papers. Triples the prep time. Makes post-test analysis impossible since students answered different questions.

Solved: Dynamic cloning with value rotation. Set A "60 km/h for 2.5 hours" becomes Set B "80 km/h for 1.75 hours" — same question, same difficulty, same marks, different answer. Marking scheme auto-updates.

"Creating a Class 12 Maths paper used to take me four hours on a Sunday — half of it fighting Word's equation editor. The 4 Long Answer questions in Section D were the worst — matrices never aligned, integrals broke on PDF export, and I'd have to redo the section just to fix one matrix's row spacing. Then I'd spend another hour writing the step-marking scheme for 38 questions. With this platform, the complete paper, marking scheme, and Set B alternate version are ready in 8 minutes. The single biggest change is that I haven't opened Word for a Maths paper in eight months — and our Section E Case Study questions are now NEP-aligned by default rather than added as an afterthought."
R
Ramesh Venkataraman
HOD Mathematics — CBSE Senior Secondary School (Classes 6-12), Bengaluru · 8-teacher Maths department

Every Maths question typology

From "evaluate the integral" to "real-world Case Study."

MCQs (Section A)

18 single-correct MCQs of 1 mark each. Direct formula application, concept identification, basic computation. Calibrated to Standard or Basic difficulty.

⚖️

Assertion-Reasoning

2 Assertion-Reason questions in Section A (1 mark each). Tests analytical evaluation — student decides if both assertion and reason are correct and whether reason explains assertion.

Very Short Answer (VSA)

5 questions in Section B (2 marks each). Single-step computation or single-concept application. Examples — solve a 2x2 determinant, find the derivative, evaluate a simple integral.

📐

Short Answer (SA)

6 questions in Section C (3 marks each). Multi-step computation requiring 2-3 working steps. Geometry constructions, intermediate integrations, trigonometric identities to prove.

Long Answer (LA)

4 questions in Section D (5 marks each). Multi-concept application — solve a 3x3 system, prove a complex theorem, integrate by parts with substitution, apply optimization.

🌍

Case Study (NEP competency)

3 questions in Section E (4 marks each). Real-world scenarios — "A park is shaped like a quadrilateral with corner coordinates..." Tests application beyond rote formula.

📊

Geometry diagrams

HD vector circles (with chord/tangent/sector), triangles (angle bisectors, medians, altitudes), coordinate axes with plotted points, calculus curves with area shading.

📈

Statistical graphs

Histograms, ogives, pie charts, bar graphs pre-populated with question data. Data interpretation questions auto-include the matching visual.

🔁

Set A/B/C value rotation

Generate 3 paper versions with identical structure but rotated numerical values. Marking scheme auto-updates. Prevents copying without creating 3 separate papers.

Chapter coverage

CBSE Maths chapters — Class 6 to 12.

Every chapter tagged. Select specific chapters for unit tests, mid-terms, or chapter-wise practice. Source mix configurable (NCERT, RD Sharma, RS Aggarwal, PYQs).

Class Key chapters / units Code & pattern
Class 12 Relations & Functions, Inverse Trigonometry, Matrices & Determinants, Continuity & Differentiability, Application of Derivatives, Integrals, Differential Equations, Vectors & 3D Geometry, Linear Programming, Probability 065 · 38 Qs / 80 marks
Class 12 Applied Numbers and Quantification, Algebra, Calculus, Probability, Inferential Statistics, Index Numbers and Time-based Data, Financial Mathematics 241 · 38 Qs / 80 marks
Class 11 Sets, Relations & Functions, Trigonometric Functions, Complex Numbers, Quadratic Equations, Sequences & Series, Straight Lines, Conic Sections, 3D Geometry, Limits, Statistics, Probability 041 prep · school internal pattern
Class 10 Real Numbers, Polynomials, Pair of Linear Equations, Quadratic Equations, AP, Triangles, Coordinate Geometry, Trigonometry, Circles, Areas, Surface Areas & Volumes, Statistics, Probability 041 Std / 241 Basic · 38 Qs / 80 marks
Class 9 Number Systems, Polynomials, Coordinate Geometry, Linear Equations, Lines & Angles, Triangles, Quadrilaterals, Circles, Heron's Formula, Surface Areas & Volumes, Statistics, Probability Foundation for Class 10 Boards
Class 6-8 Whole Numbers, Fractions & Decimals, Algebra (introduction), Basic Geometry, Mensuration, Data Handling, Ratio & Proportion, Exponents, Direct/Inverse Variation School internal · NCERT-mapped

Maths-specific FAQs

Questions Maths HODs ask before switching.

What's the CBSE Class 10 Maths 5-section blueprint?

+

Both Standard (Code 041) and Basic (Code 241): 80 theory + 20 internal. Five sections — Section A: 20 Qs (18 MCQ + 2 A-R) × 1 mark = 20 marks. Section B: 5 VSA × 2 marks = 10 marks. Section C: 6 SA × 3 marks = 18 marks. Section D: 4 LA × 5 marks = 20 marks. Section E: 3 Case Study × 4 marks = 12 marks. Total 38 questions, 80 marks. No overall choice; internal choice in 2 Qs each in Sections B, C, D and 3 Qs in Section E. NEP 50/20/30 blueprint applied.

What's the difference between Class 10 Maths Standard (041) and Maths Basic (241)?

+

Both follow identical syllabus (same 7 units) and identical 5-section structure. Difference is question difficulty. Maths Standard (Code 041) — for students continuing Maths in Class 11 (Science, Commerce with Maths). More application-based and higher-order questions. Maths Basic (Code 241) — for students NOT continuing Maths in Class 11 (Commerce without Maths, Humanities). Simpler problem-solving, direct formula application. Platform generates papers at correct difficulty for either course based on selection.

What's the CBSE Class 12 Mathematics blueprint and subject codes?

+

Class 12 Mathematics (Code 065) — Science stream, continuing rigorous Maths for JEE/NEET/engineering. Covers Relations & Functions, Matrices, Continuity, Integrals, Differential Equations, Vectors & 3D Geometry, Linear Programming, Probability. Class 12 Applied Mathematics (Code 241) — Commerce/Humanities, practical application focus. Covers Numbers & Quantification, Algebra, Calculus, Probability, Inferential Statistics, Index Numbers, Financial Mathematics. Both 80 theory + 20 internal, same 5-section structure as Class 10.

Does the platform render LaTeX equations correctly?

+

Yes. Dedicated LaTeX rendering engine handles definite integrals with limits, matrices (2×2, 3×3, n-dimensional), limits and derivatives, trigonometric identities (sin, cos, tan + inverse functions), combinatorial functions (nCr, nPr), vector algebra (i, j, k notation + dot and cross products), differential equations, partial derivatives, summation and product notation. Equations render at textbook-level precision in both PDF and DOCX. No Word equation editor workaround needed.

Does the platform include geometry diagrams?

+

Yes. HD vector geometry library covers — Triangles (angle bisectors, medians, altitudes, similar triangle constructions), Circles (chord, tangent, secant, sector constructions), Quadrilaterals (parallelogram, rhombus, trapezium, kite), Coordinate Geometry (axes with plotted points, lines, parabolas, ellipses, hyperbolas), Calculus (curve sketching, area-under-curve shading), Statistics (histograms, ogives, pie charts, bar graphs pre-populated with question data), 3D Geometry (vectors, planes, lines in 3D). One-click insertion, scales perfectly at any print size.

How does the step-by-step marking scheme work?

+

A Maths answer key isn't just the final answer — it's marks per step. Platform generates the full CBSE-format step marking rubric alongside every paper. For a 5-mark Long Answer (e.g., evaluate ∫₀^π sin(x) dx using substitution) — 1 mark for correct integration approach, 0.5 marks for identifying substitution u = cos(x), 2 marks for correct intermediate calculation (du = -sin(x)dx, limits transformation), 1 mark for evaluating at limits, 0.5 marks for final answer with sign. Same step-marking format CBSE evaluators use during board evaluation.

How does Set A/B/C value rotation work?

+

Dynamic cloning generates multiple paper versions — preventing copying without requiring three different papers. AI retains identical difficulty, syllabus coverage, question structure; changes (1) question order within sections, (2) numerical values in calculation-based questions. So Set A "60 km/h for 2.5 hours" becomes Set B "80 km/h for 1.75 hours" with marking scheme auto-updated. Question structurally identical, same concept, same marks. Three sets in one click. Same difficulty. No version drift.

What Maths reference books does the question bank cover beyond NCERT?

+

NCERT textbooks and exemplar problems (CBSE mandatory base). Additional sources tagged by chapter and difficulty — RD Sharma (harder application problems for Class 10 Trigonometry, Class 12 Calculus), RS Aggarwal (Statistics, Probability practice sets), past 10 years of CBSE board papers. Source mix configurable — 60% NCERT + 40% RD Sharma for Class 12 internal, 100% past board papers for Class 10 mock, 50% NCERT + 50% RS Aggarwal for Statistics-focused chapter test.

Does the platform support NEP 2020 competency-based Maths questions?

+

Yes. NEP 2020 requires 50% competency-based for Class 9-12. For Maths — Section E Case Study questions test real-world application ("A park is shaped like a quadrilateral with corner coordinates..."), Assertion-Reasoning questions in Section A test analytical evaluation, application-based MCQs test inference rather than formula recall. Platform applies 50/20/30 blueprint automatically — 50% competency (Case Study + Assertion-Reasoning + application MCQs), 20% objective MCQs (direct formula), 30% constructed response (SA + LA showing working).

How does this Maths-specific page differ from the AI Question Paper Generator hub?

+

The AI Question Paper Generator hub covers all subjects at directory level — cross-subject comparison, the CBSE 50/20/30 blueprint applied across subjects, routing to subject pages. This Maths-specific page goes deep into Mathematics specifications — Class 10 Standard 041 vs Basic 241 difference, Class 12 Maths 065 vs Applied 241 difference, the 5-section structure with exact question counts (18 MCQ + 2 A-R, 5 VSA, 6 SA, 4 LA, 3 Case Study = 38), LaTeX rendering, HD geometry diagram library, step-by-step marking, Set A/B/C value rotation, NCERT + RD Sharma + RS Aggarwal source mix. Evaluating broader platform → hub. Setting Maths papers → this page.

Other subject generators

Or browse the full directory.

For Maths HODs tired of Sunday evening Word fights

Class 10. Class 12. Standard or Basic. Maths or Applied.

5-section blueprint applied automatically. LaTeX equations. HD geometry diagrams. Step-by-step marking. Set A/B/C value rotation. NCERT + RD Sharma + RS Aggarwal sources. NEP 50/20/30.

From ₹30/student/month · 500+ Indian schools · CBSE Standard 041 + Basic 241 + Class 12 065 + Applied 241