A great news story for the Class 12 students who are pursuing Applied Mathematics (Code 241)! It’s official! The Central Board of Secondary Education (CBSE) officially announced the Sample Questions Paper for the academic 2025-26 session. It’s now time to start tackling.
This paper sample isn’t another set of test questions. It’s the blueprint you need to pass the exam on board. If you’re hoping to do highly on the exam in Applied Mathematics, understanding the pattern of the questions, their weightage and the expected difficulty level is the first step towards getting the score you want.
Overview of the Sample Paper
The CBSE Applied Mathematics Sample Paper for the class of 2025-2026 is accompanied by the following pattern for an exam:
- Maximum Marks: 80
- The Time Allowed: 3 Hours
- Total Questions: 38
- Sections: A to E
- Calculator: Not permitted
- Each question is mandatory; however, internal options are included in certain questions.
Assessment Pattern: No Changes for 2025-26
The 2024-25 assessment plan continues in 2025-26. If you’ve worked on your preparations using last year’s framework then you’re taking the correct path.
The knowledge that there aren’t any modifications eliminates any uncertainty and gives students a clear idea of how they can make the most of their preparation.
Question Paper Structure
Below is the breakdown by section:
| Section | Question Type | Q. Nos. | Marks per Question | Total Marks |
| A | MCQs (Q1-18) + Assertion-Reason (Q19-20) | 1-20 | 1 mark for each | 20 |
| B | Very Short Answer (VSA) | 21-25 | Two marks for each | 10 |
| C | Short Answer (SA) | 26-31 | Three marks per mark | 18 |
| D | Long Answer (LA) | 32-35 | Five marks for each | 20 |
| E | Case Study / Passage-Based Questions | 36-38 | Each mark is 4 marks | 12 |
Internal Choices
There are a variety of options available:
- Two questions from Section B
- Two questions are in Section C
- Two questions from Section D
- A sub-part for each of 2 of the Section E questions.
Key Concepts & Topics Covered
This sample paper incorporates fundamental math skills as well as real-world applications. Below are some areas of focus:
Algebra & Matrices
- Properties of adjuvants and determinants
- Matrix-based equation solution (e.g. Cramer’s Rules)
Calculus
- The concept of differentiation and the applications it has
- Analysis of revenue and margins
- Optimization problems using calculus
- Equations for differentials
Financial Mathematics
- Annuities & Perpetuities
- EMI Calculations for EMI
- Linear depreciation as well as sinking funds
Probability & Statistics
- Poisson and Binomial Distributions
- Central Limit Theorem
- Tests of t-tests, hypothesis testing and the like
- Correlation, regression and variance analysis
Business Applications
- Linear Programming Problems (LPP)
- Supply and demand in equilibrium
- Cost-revenue and profit analysis
Case Studies
The application of maths in the context is used in fields like:
- The eligibility criteria for scholarships is determined by the regular distribution
- The grain pricing strategy market
- Estimated consumption of transportation fuel in terms of budget.
Sample Questions That Stand Out
We’ll take a look at the kind of intriguing and difficult questions that are included in the program:
- 1. (MCQ): “In what proportions should a retailer mix two tea varieties? …” It tests your understanding of profit as well as mixing notions.
- Q16 (MCQ Probability) tossing a coin six times, and then the comparison of probabilities — the typical binomial distributions.
- Q30 (Hypothesis Testing) Examines your knowledge of the tolerances in manufacturing as well as quality control. This is particularly important for those who are looking to get into industry or commercial areas.
- Q35 (EMI Calculation): Real-life use of the reducing balance method for calculating monthly EMIs car loans.
- Q38 (LPP Case Study) Student must make the most efficient use of travel the constraints of time and budget for fuel. It’s a great illustration of how math combines with the real world of thinking.
Why This Sample Paper Is Essential
It clarifies the weightage and difficulty of questions: Understanding how many MCQs, VSA, SA, LA, and Case Study questions are likely to appear will help students concentrate their learning.
Improves time management skills: Practice under exam conditions using this paper helps students to plan their 3 hour exam more effectively.
The book reveals the real-world relevance: Applied Maths isn’t abstract–it’s useful. From business and economics, to statistics and manufacturing each concept is linked to real-world examples.
Inspires data-driven thinking: Through subjects like regression, central limit theorem, and Poisson distribution, students are taught how to think analytically, which is an essential ability for life.
How to Use the Sample Paper Effectively
This is how students can be approaching this paper sample:
1. Take a Mock Test
The exam is simulated. You must sit in a calm area for three hours without distractions. You must attempt every question.
2. Evaluate Performance
Review your answers by using the marking system (when there is one available) or consult with your teacher for assistance. Notify where you’ve made mistakes.
3. Identify Weak Spots
Are you struggling in a battle with LPP? Have you encountered a problem with probability? Revisit NCERT chapters or get help via YouTube/expert platforms.
4. Focus on Case Studies
The new style of questions are time-consuming. Learn to interpret real-world data, and draw the equations.
5. Revise Formulas & Concepts
Make a “cheat sheet” of all necessary formulas and theories, especially for financial maths, matrices and distributions.
Bonus: How Teachers & Parents Can Help
Parents and teachers This paper can be an effective tool
- Create weekly goals for practice Each week, assign one practice section week, and monitor performance.
- Recognize Patterns: Determine the students who are always weak in certain areas (like VSA or reasoning-based MCQs).
- Inspire Real-World Application: ask your child to describe the process by which an EMI calculates or the significance of a t-test when making everyday choices.
Download the Sample Paper
The complete Sample Paper for Class 12 Applied Mathematics Sample Paper (2025-26) with the entire 9 pages of pdf format at:
You must download questions and the marking system to complete your preparation.
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Need extra help? eMathsWorld will be launching crash classes with live instruction, as well as classes for revision specifically tailored to students in the class 12 Applied Mathematics.
What’s included:
- Topic-wise breakdown
- Case study and LPP developing strategies for solving problems
- Doubt-clearing sessions
- Tests every week based on new papers
- Strategies to get 90+ on CBSE board examinations
There are only a few seats left. Take advantage of a Free Trial Class by visiting eMathsWorld
Final Thoughts
The Applied Mathematics exam is designed not to simply test the memory, but also to test understanding and application. 2025-26 is the ideal place to start from to ensure your practice is in line with CBSE’s requirements.
Download the Class 12th Applied Mathematics Sample Paper now and solve the problem under the time limit, and begin revising your paper with the plan.
It’s not all the speed of solving every problem, it’s the doing it correctly, strategically and with confidence.
Best of luck and may your marks in math be multiplied!
