CBSE Class 12 Applied Mathematics Sample Paper 2026 | Free PDF Download

CBSE has officially released the Class 10 Applied Maths Sample Paper for the 2025–26 academic session.

With the new dual-board exam format—including both November and March attempts—these sample papers will be very helpful for your preparation. Applied Maths focuses on real-life math problems, and the updated paper pattern encourages time-based practice and accuracy. These sample papers are a great way to understand the types of questions, improve speed, and get ready for both attempts. In this article, we explain everything you need to know about the Class 10 Applied Maths sample papers for 2025–26!

a) Year-wise Sample Papers Class 12 Applied Mathematics

Students can get the Applied Mathematics Sample Paper for Classes 12, directly for free from here. Download the sample papers and the marking scheme are available for free in PDF format.

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b) How to Access the Latest Class 12 Applied Mathematics Sample Papers 2025-26

There are several ways to access the most up-to-date Applied Mathematics sample papers:

Follow these simple steps to get the latest Maths sample papers:

Visit the  CBSE Academic Website → Sample Question Papers → Class XII → Applied Maths

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For effective practice, make sure you're familiar with the latest Class 12 Applied Mathematics Syllabus 2025–26, especially any weightage updates across Relations & Functions, Algebra, Calculus, Probability, and Numerical Methods sections.

Understanding the Class 12 Applied Mathematics Exam Paper 2025-26

The Class 12 Applied Mathematics Sample Paper is aligned with the latest exam pattern of the CBSE; this will help you understand the exam format and types of questions you may receive in the exam.

a) Key Changes in the Exam Pattern for Applied Mathematics (2025–26)

Though the dual-board structure is new, the exam blueprint for Applied Mathematics remains broadly similar. However, you'll need to align your preparation with the specific term pattern (November and March).

Here's the breakdown for Applied Mathematics Class 12:

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The theory paper is further divided as:

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b) Applied Mathematics Board Paper Pattern 2025-26 - Section-wise

The Applied Mathematics paper follows a comprehensive pattern covering practical mathematical applications, statistical analysis, and real-world problem solving across various domains.

Section A: Multiple Choice Questions (20 marks)

• 20 MCQs covering all units with 1 mark each
• Topics include function properties, algebraic operations, calculus applications, and statistical concepts

Section B: Very Short Answer Questions (10 marks)

• 5 questions worth 2 marks each
• Quick calculations, formula applications, and basic interpretations

Section C: Short Answer Questions (24 marks)

• 8 questions worth 3 marks each
• Problem-solving with methods, statistical analysis, and financial calculations

Section D: Long Answer Questions (20 marks)

• 4 questions worth 5 marks each
• Complex mathematical modeling, comprehensive statistical problems, and detailed financial analysis

Section E: Case Study Questions (6 marks)

• 2 case-based questions with sub-parts (3 marks each)
• Real-life applications of mathematical concepts in business, economics, and data analysis

Key topics include: Inverse Trigonometric Functions, Matrices, Determinants, Indefinite Integration, Differential Equations, Probability Distributions, Sampling, Linear Programming, and Financial Mathematics.

How Does the Two-Exam Format Affect Applied Mathematics Preparation?

The new format introduces two full exams in a year, requiring a focused and structured preparation plan:

• November Exam (Exam 1): May feature questions based on fundamental mathematical concepts, basic statistical methods, and core algebraic applications
• March Exam (Exam 2): Will likely include advanced calculus problems, complex statistical analysis, and comprehensive financial mathematics applications

How Sample Papers Helps in Studying Applied Mathematics?

• Mastering numerical methods and computational techniques for real-world problems
• Understanding statistical interpretation and data analysis procedures
• Improving speed in solving financial mathematics and linear programming problems
• Building confidence in explaining mathematical modeling and optimization techniques
• Developing analytical skills for case study-based mathematical applications
• Getting familiar with graphical representations and data visualization methods

How to Use Applied Mathematics Sample Papers 2025-26 Effectively?

• Practice in timed conditions: Especially for computational problems and statistical analysis
• Focus on step-by-step solutions: Show clear working for complex calculations and mathematical reasoning
• Refer to marking schemes: To understand expected level of detail in method explanations and final interpretations
• Master all units systematically: Ensure balanced preparation across pure mathematics concepts and their practical applications
• Practice accuracy in calculations: Use proper mathematical notation and maintain precision in numerical answers
• Use sample papers to strengthen application skills: Practice interpreting real-world scenarios and converting them into mathematical models

In conclusion, regular practice with Class 12 Applied Mathematics sample papers is key to mastering the dual-exam format and excelling in both board exams. These papers help you build practical mathematical thinking, refine your problem-solving skills, and gain confidence in tackling both theoretical concepts and real-world applications. Until the official 2025–26 papers are released, make use of previous years' papers and trusted resources like Educart to stay ahead.

Also check out:

• CBSE Class 12 Hindi Sample Papers 2025–26
• CBSE Class 12 Maths Sample Papers 2025–26

Stay tuned for latest update and all the best for your preparation!

Frequently Asked Questions

Q1. What is the exam pattern and marking scheme for Applied Mathematics 2025-26?

Theory paper: 80 marks (plus 20 marks internal assessment)

Duration: 3 hours

Sections include:

• Multiple-choice questions
• Short-answer (2–3 marks)
• Long-answer (4–6 marks)
• Case-based/numerical problems on calculus, financial mathematics, linear programming, probability distributions, and statistics.

Q2. Which topics are most important in the sample papers?

High-yield topics frequently tested are:

• Calculus (differentiation, integration, and marginal cost/revenue)
• Probability distributions and t‑tests
• Linear programming
• Financial mathematics (EMI, compound interest, sinking funds)
• Index numbers and time-series data

Q3. How many sample papers should I attempt, and when?

It’s advisable to solve at least 4–6 full-length sample papers, including the official CBSE one. Begin 1–2 months before exams once you’ve covered 80–90% of the syllabus to refine timing, answer structure, and numerical accuracy.

Q4. How can I best utilize sample papers for preparation?

1. Practice under exam conditions—strictly timed 3-hour sessions.
2. Self-mark using the official marking scheme.
3. Identify and revisit weak areas, particularly in calculus and statistics.
4. Analyze common question patterns to plan a strategic attempt order and reduce mistakes.

Q5. Were there any surprise or out-of-syllabus questions in the recent board exam?

Students on Reddit who appeared for the 2025 board shared: “I completed my paper 30 mins before the deadline, honestly it wasn’t too hard… i don’t think there were any out of syl qu though”

This suggests the exam remains within the CBSE syllabus and is generally well-aligned with sample papers.