CBSE Class 12 Applied Maths Sample Paper 2026–27: Official PDF and Marking Scheme
CBSE has published the official 2026–27 Class XII Applied Mathematics sample question paper and marking scheme. Applied Mathematics is subject code 241 and has a different curriculum and paper from Mathematics (041), so students should confirm the subject printed on their registration before downloading a paper.
This guide provides a subject-specific destination with direct official documents and a practical attempt, marking and correction workflow.
Download the official Applied Mathematics paper and marking scheme
Use the two CBSE Academic files together. The sample question paper is the timed attempt; the marking scheme shows the expected method, intermediate steps and mark allocation. Confirm that both documents say Applied Mathematics (241), Class XII and 2026–27.
Official 2026–27 Applied Maths paper pattern
The official sample paper carries 80 marks and allows three hours. It contains 38 compulsory questions across five sections. There is no overall choice, while the paper provides specified internal choices within Sections B, C, D and E. Calculators are not allowed.
Swipe across the table to see all columns.
| Section | Questions | Marks per question | Section marks |
|---|---|---|---|
| A | 18 MCQs + 2 assertion–reason questions | 1 | 20 |
| B | 5 very-short-answer questions | 2 | 10 |
| C | 6 short-answer questions | 3 | 18 |
| D | 4 long-answer questions | 5 | 20 |
| E | 3 case-study questions | 4 | 12 |
What the sample paper actually tests
The paper mixes mathematical methods with business, economic, statistical and real-world applications. A useful review therefore measures whether the student selected and interpreted the right model, not only whether the final arithmetic was correct.
- Numerical applications, including ratios, mixtures, races and modular arithmetic.
- Algebra and matrices used in structured problem solving.
- Calculus applied to revenue, demand, cost and optimization contexts.
- Financial mathematics involving investments, bonds, annuities, loans and depreciation.
- Probability distributions, descriptive and inferential statistics.
- Linear programming and interpretation of feasible regions.
- Time-based data, trend fitting and case-study analysis.
Attempt the paper under board conditions
Record the actual time spent on every section. A correct solution that takes too long is still useful diagnostic evidence because the board paper requires both method and pacing.
| Stage | Action |
|---|---|
| Before starting | Read the official instructions and prepare only permitted stationery. |
| First pass | Complete secure questions while marking any item that is consuming disproportionate time. |
| Second pass | Return to longer calculations and internal choices with the remaining time visible. |
| Final check | Verify units, assumptions, graphs, statistical conclusions and all case-study subparts. |
| After time | Stop writing before opening the official marking scheme. |
Use the marking scheme as a teaching tool
Award marks only for work visible on the page and supported by the official scheme. Then classify every lost mark so the next study session addresses the cause rather than repeating another full paper immediately.
| Error | What to do next |
|---|---|
| Wrong model or formula | Restate the situation, assumptions and governing method before solving two contrasting examples. |
| Calculation error | Find the first incorrect line and complete a short accuracy set using the same operation. |
| Interpretation error | Rewrite the conclusion in the context and include the required statistical or financial meaning. |
| Incomplete method | Compare each mark-bearing step and rewrite the answer with sufficient working. |
| Time loss | Practise a similar section with a stopping rule before attempting another full paper. |
Convert one mock into a seven-day repair plan
- Day 1: mark the complete paper and rank errors by marks lost, not by chapter preference.
- Days 2–3: rebuild the two concepts or models responsible for the largest losses.
- Day 4: redo missed questions without looking at the previous solution.
- Day 5: practise a fresh set testing the same skills in different contexts.
- Day 6: complete one weak section under a tighter time limit and review the written method.
- Day 7: update the unit tracker and decide whether another full mock or further repair is justified.
Do not use the Mathematics (041) paper by mistake
Mathematics (041) and Applied Mathematics (241) are separate CBSE subjects. Their curricula overlap in some mathematical tools, but the unit mix, applications and official sample papers differ. A student registered for Applied Mathematics should practise the subject 241 paper linked above.
What parents should review after the mock
- The student used the Applied Mathematics (241) paper and matching marking scheme.
- The attempt lasted no longer than the official three-hour limit.
- Lost marks are separated into concept, model selection, calculation, interpretation, presentation and time.
- Correction and retesting are scheduled before another full paper.
- The plan covers statistics, financial mathematics and applications as well as familiar algebra and calculus work.
Frequently asked questions
Has CBSE released the Class 12 Applied Maths sample paper for 2026–27?
Yes. CBSE Academic lists the official Applied Mathematics (241) Sample Question Paper and Marking Scheme for Class XII 2026–27.
How many questions are in the official Applied Maths sample paper?
The 2026–27 sample paper contains 38 compulsory questions across five sections and carries 80 marks in three hours.
Is Applied Mathematics the same as Mathematics?
No. Applied Mathematics (241) and Mathematics (041) are separate CBSE subjects with separate curricula and sample papers.
Can students use a calculator?
No. The official 2026–27 Applied Mathematics sample paper states that calculators are not allowed.
Should I solve another paper immediately after marking?
Usually, no. Repair the highest-cost errors, reattempt them without the solution and test the same skills with fresh questions before using another full mock.
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