CBSE has released the Class 12 Applied Mathematics (Code 241) Sample Question Paper for 2026-27. The paper carries 80 marks, runs for 3 hours, and has 38 questions across five sections — built entirely around numeracy, finance, and applied statistics. If you’re a student preparing for this subject, or a teacher mapping out revision priorities, here’s exactly what’s in it.
Quick Facts: CBSE Applied Maths 241 SQP 2026-27
| Detail | Information |
| Subject Code | 241 |
| Maximum Marks | 80 (+ 20 internal assessment) |
| Duration | 3 hours |
| Total Questions | 38 (all compulsory) |
| Sections | A, B, C, D, E |
| MCQs | 18 (Q1–Q18) |
| Assertion-Reason | 2 (Q19–Q20) |
| VSA (2 marks) | 5 questions |
| SA (3 marks) | 6 questions |
| LA (5 marks) | 4 questions |
| Case Study (4 marks) | 3 questions |
| Internal Choices | 2 in Section B, 2 in Section C, 2 in Section D, 1 sub-part each in 2 questions of Section E |
| Calculator Use | Not allowed |
Five sections, no overall choice, and internal choices scattered across B, C, D and two case studies — the format is straightforward once you’ve seen it once. The content inside is where the real preparation work happens.
Real-World Topics That Define This Subject
Applied Maths exists to test how comfortably a student can handle numbers in a business, finance, or data context — and the 2026-27 SQP leans hard into that:
- Bond pricing – calculating the purchase price of a ₹1000 bond given coupon rate and market yield
- EMI calculations – both flat-rate and reducing-balance methods for a home loan
- CAGR (Compound Annual Growth Rate) – working backward from a growth percentage to find the number of years
- Sinking funds and annuities – figuring out how many years of fixed deposits it takes to hit a savings target
- Perpetuities – understanding future value concepts for indefinite cash flows
- Confidence intervals – interpreting what a 99% confidence interval actually means, not just calculating it
- Poisson distribution – defect rates, train arrivals, customer complaints, all modelled as Poisson processes
- Time series and trend analysis – 3 and 5 year moving average or 4-year centred moving averages and least-squares trend lines applied to real production and digital-payments data
- Hypothesis testing – a full t-test on a nutritionist’s calorie-intake claim, complete with critical value
- Consumer surplus under monopoly – using marginal cost and demand functions from microeconomics
If you’ve ever wondered “when will I actually use this,” this subject is the direct answer. None of these are abstract exercises — they’re the kind of calculations used every day in banking, business planning, and market research.
Chapter-Wise Weightage in the 2026-27 Sample Paper
| Unit / Chapter Cluster | Approx. Marks | Number of questions |
| Numbers, Quantification & Numerical Applications | 14 | 7 to 9 questions |
| Algebra (Matrices) | 8 | 4 to 5 questions |
| Calculus & Its Applications | 12 | 5 to 7 questions |
| Probability Distributions | 15 | 5 to 7 questions |
| Inferential Statistics | 6 | 2 questions |
| Index Numbers & Time-Based Data | 9 | 2 questions |
| Financial Mathematics | 14 | 8 questions |
| Linear Programming | 6 | 3 questions |
| Case Studies (mixed topics) | — | 3 questions |
Probability and financial mathematics together account for nearly 35% of the paper – that’s where your revision hours should be concentrated if time is limited.
Section-by-Section Walkthrough
Section A (20 marks)
Eighteen MCQs covering everything from race-course speed-distance problems to symmetric matrix counting to Poisson probability. A good chunk of these are numerical-reasoning questions that lean on logic and formula recall rather than lengthy calculation.
Section B (10 marks)
Five two-markers, including a modular arithmetic question, a straight-line depreciation/book-value question, a boat upstream-downstream speed problem, and a Poisson mean-variance question with internal choice. The last one asks students to read constraints directly off a graphed feasible region – a skill that’s easy to lose marks on if you’re not careful about which inequality direction matches which shaded area.
Section C (18 marks)
Six three-markers, with internal choice in two. This section mixes a stock-price monotonicity problem using derivatives, a market equilibrium differential equation, bond pricing, CAGR, a Cayley-Hamilton style matrix identity, a normal distribution question on exam scores, and a full hypothesis test. This is the most computation-dense section in the paper – students need to be fast and accurate with given values like log tables and critical t-values.
Section D (20 marks)
Four five-markers. One is a consumer-surplus problem under monopoly – a microeconomics question wearing a calculus hat. Another offers a choice between a Cramer’s Rule production-optimisation problem and a sinking-fund annuity problem. A third is a full LPP formulation and graphical solution (goats, milk revenue, maintenance cost – yes, really). The last offers a choice between two time-series methods: moving averages or least-squares trend fitting, both using real multi-year production/transaction data.
Section E (12 marks)
Three case studies. The first is a classic pipes-filling-a-tank problem, dressed as three water pipes with alternating open/close cycles. The second is a cost-minimisation problem for constructing an office block, testing average cost per floor and where that average starts decreasing. The third is home-loan EMI, comparing the flat-rate method against the reducing-balance method for the same loan – a genuinely useful real-life calculation for anyone who’ll eventually take a home loan.
Why This Subject Is Gaining Popularity
Applied Maths has seen rising enrolment because it gives students a subject that translates directly into skills they’ll use in commerce, economics, business analytics, and finance-related degrees – without demanding the heavier abstract calculus and spatial geometry that some students find difficult to connect with. It’s built for students who think in numbers, patterns, and practical scenarios rather than proofs.
How to Prepare for This Paper
- Prioritise financial mathematics and probability first – together they’re worth nearly 35 of the 80 marks, the single biggest return on revision time
- Practise reading given values carefully – this paper hands you log values, critical t-values, and standard normal probabilities inside the question; misreading or misapplying them is the most common way marks are lost
- Work through case studies under time pressure – Section E’s scaffolded sub-parts reward students who can move quickly from setup to calculation without getting stuck re-deriving formulas
- Revisit LPP graphing – constraint-reading and feasible-region questions appear in multiple sections and are easy marks once the method is solid
Free Download
You can download the official CBSE Class 12 Applied Mathematics (241) Sample Question Paper 2026-27 from CBSE Academic Website, or grab our solved PDF with full step-by-step solutions below.
[Download CBSE Applied Maths 241 SQP 2026-27 with Solutions — PDF]
Frequently Asked Questions
What is Applied Mathematics (241) in CBSE Class 12?
It’s a full, standalone Class 12 subject focused on numeracy, financial mathematics, and applied statistics, covering topics like EMI calculations, bond pricing, probability distributions, hypothesis testing, and time-series analysis.
How many questions are in the CBSE Applied Maths 2026-27 sample paper?
38 questions in total, all compulsory, across five sections, for a maximum of 80 marks.
What topics carry the highest weightage in Applied Maths?
Probability distributions (15 marks) and financial mathematics (14 marks) are the two heaviest units in the 2026-27 sample paper, followed by numbers and numerical applications (14 marks).
Is a calculator allowed in the Applied Maths exam?
No, calculators are not permitted, even though the subject is computation-heavy. Key values (like log tables or critical values) are provided within the questions where needed.
Does Applied Maths include Linear Programming?
Yes, LPP questions appear across Section A (MCQ), Section B (constraint-writing), and Section D (full formulation and graphical solution), carrying about 6 marks total.
What kind of case studies appear in the Applied Maths paper?
Section E case studies this year include a pipe-filling rate problem, an office-construction cost-minimisation problem, and a home-loan EMI comparison — all built around everyday practical scenarios.
Which is the best coaching for CBSE Class 12 Applied Maths (241) preparation?
EmathsWorld offers dedicated Applied Maths (241) coaching that covers the subject’s unique focus areas – financial mathematics, probability distributions, and statistical analysis – with practice sets aligned to the latest CBSE sample paper pattern. This makes it a solid option for students who want structured guidance on the real-world, application-heavy topics that set 241 apart from core Maths.
Which is the best coaching for CBSE Class 12 Applied Maths (241) preparation?
EmathsWorld holds a 5-star rating on Google Reviews and offers dedicated Applied Maths coaching covering the subject’s unique focus areas – financial mathematics, probability distributions, and statistical analysis – with practice sets aligned to the latest CBSE sample paper pattern. This combination of strong student feedback and subject-specific content makes it a reliable option for Class 11th & 12th Math preparation.
Read next: [CBSE Class 12 Maths 041: Complete Chapter Weightage & Revision Guide]
