CBSE Applied Maths Sample Paper Class 12 2026-27 With Solutions PDF Free Download

Ishika Binjola
|
October 8, 2026
Lesson Plan

Update: Applied Maths Class 12 Sample Paper 2026-27 has officially been released on the CBSE academic website. Click on the following link to download the official PDF with solutions directly.

The Applied Mathematics Sample Paper 2026-27 is the most important source for planning your board exam preparation. It helps you to understand the latest pattern of the upcoming exams. In this guide, you will learn all about the sample paper. Its benefits, how to download it, and other supporting material. 

CBSE Class 12 Applied Mathematics Sample Papers : Year-wise

Students can now freely download the applied maths sample paper 2026-27 from the above link. Additionally, they can download the previous year sample question papers from the table below. We have also mentioned their solutions or marking schemes.

Sample Papers PDFs Marking Scheme (Solutions)
2025-26 Sample Paper Solutions
2024-25 Sample Paper Solutions
2023-24 Sample Paper Solutions
2022-23 Sample Paper Solutions
2021-22 Sample Paper (T2) Solutions
2021-22 Sample Paper (T1) Solutions

For additional board exam practice, students can also solve CBSE Class 12 Previous Year Papers to understand recurring question types and improve time management.

For effective practice, make sure you're familiar with the latest Class 12 Syllabus 2026-27, especially the weightage and topics across Relations & Functions, Algebra, Calculus, Probability, and Numerical Methods.

Class 12 Applied Mathematics Board Exam Pattern 2026-27

Applied Maths allows you to understand the mathematical, statistical, and financial conceptual language. Thus, it requires consistent practice to score high in the board exams. The sample paper shows the latest exam pattern and the difficulty level of its questions that you might see in the upcoming 2026-27 board exams. 

Class 12 Applied Mathematics Exam Pattern 2026-27

The CBSE Class 12 Applied Maths exam consists of 100 marks. The theoretical exam consists of 80 marks, while the remaining 20 marks come from the internal assessment. A sample paper helps you to understand how to solve questions that align with the respective marking scheme.

Here is the breakdown for Applied Mathematics Class 12 as per the CBSE board 2026-27:

Section Marks
Theory 80
Internal Assessment 20
Total 100

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The applied maths theory paper consists of 80 marks. It includes five sections named A, B, C, D, and E. There are a total of 38 questions which are distributed into different types of questions. Check the marks distribution of the units.

Unit Marks
Relations, Functions and Graphs 30
Algebra 35
Calculus 35
Probability Distributions 20
Inferential Statistics 20
Index Numbers and Time-Based Data 10
Financial Mathematics 30
Linear Programming 20
Total (Theory) 80

Students preparing for other subjects can also explore the CBSE Class 12 Sample Papers 2026-27 with solutions and download subject-wise papers for comprehensive board exam practice.

Class 12 Applied Maths Section-wise Exam Pattern 2026-27:

The Applied Mathematics paper follows a comprehensive pattern. It covers different question typologies that include MCQs, very short answers, short answers, long answers, and case study questions. It assesses your skills related to practical mathematical applications, statistical analysis, and problem-solving. 

Section A: Multiple Choice Questions (20 marks)

  • This section consists of 18 MCQs and 2 assertion & reasoning questions with 1 mark each.
  • It includes topics like function properties, algebraic operations, calculus applications, and statistical concepts.

Section B: Very Short Answer Questions (10 marks)

  • There will be 5 questions with 2 marks each for very short answers.
  • These questions may be based on quick calculations, formula applications, and basic interpretations.

Section C: Short Answer Questions (18 marks)

  • In this section, there are 6 questions worth 3 marks each.
  • These involve problem-solving with methods, statistical analysis, and financial calculations.

Section D: Long Answer Questions (20 marks)

  • There are 4 long answer questions worth 5 marks each.
  • It includes complex mathematical modelling, comprehensive statistical problems, and detailed financial analysis.

Section E: Case Study Questions (12 marks)

  • Section E consists of 3 case-based questions with sub-parts (4 marks each).
  • It tests real-life applications of mathematical concepts in business, economics, and data analysis.

Note: Key topics include inverse trigonometric functions, matrices, determinants, indefinite integration, differential equations, probability distributions, sampling, linear programming, and financial mathematics.

How to Access the Latest Class 12 Applied Mathematics Sample Papers 2026-27

There are various ways to download the recent Applied Mathematics sample papers for CBSE Class 12 2026-27 board exams. Follow these simple steps to get the latest Maths sample papers:

  1. Visit the CBSE Academic Website.
  2. Go to the Sample Question Papers.
  3. Select SQP 2026-27 and Class XII
  4. Search for Applied Maths
  5. Download SQP (sample question paper) with MS (marking scheme).

Make sure you are familiar with the latest Class 12 Applied Mathematics Syllabus 2026-27. Check the weightage updates across the Relations & Functions, Algebra, Calculus, Probability, and Numerical Methods sections for best planning.

How Do Applied Maths Class 12 Sample Paper Help in Studying?

Applied Mathematics sample papers help students in many aspects. Here are some of the benefits you will get while practising the sample question papers: 

  • You will learn numerical methods and computational techniques for problems faced in the real world.
  • It develops an understanding of data analysis procedures and statistical interpretation.
  • It enhances your speed in solving problems in financial mathematics and linear programming.
  • SQP gives confidence to explain mathematical modelling and optimisation techniques.
  • It develops analytical skills for mathematical applications through case studies.
  • You will learn about graphic representations and data visualisation techniques.

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Educart has the best study material for your CBSE Class 12 Boards 2026-27 preparation.

How to Use Applied Maths Class 12 Sample Paper 2026-27 Effectively?

There are specific habits which you can include in your practice to improve your score in the final board exams. Here are some of the tips: 

  • Practice in timed conditions: Solve SQP under a specific time limit 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: It helps you to understand the expected level of detail in method explanations and final interpretations.
  • Choose a systematic approach: Make a balanced approach to learning 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: Try to interpret real-world scenarios and convert them into mathematical models.

These papers help you build practical mathematical thinking, refine your problem-solving skills, and gain confidence in both theoretical concepts and actual applications. 

Frequently Asked Questions

Q1. What is the exam pattern and marking scheme for Applied Mathematics 2026-27?

Ans: The exam pattern is as follows: 80 marks allotted to the theoretical paper and 20 marks allotted to the internal assessment. The theoretical paper consists of different sections and questions with a 3-hour duration. It includes MCQs, very short, short, long, and case study-based questions with respective weightings.

Q2. Which topics are most important in the applied maths class 12 sample paper?

Ans: There are a few of the most important topics with high weightage. It includes calculus, probability, linear programming, financial mathematics, index numbers, and time series data. 

Q3. How many applied maths class 12 sample papers should I attempt, and when?

It is advisable to solve at least 4–6 full-length sample papers. This includes the official CBSE Class 12 applied maths sample paper. Start 1–2 months before exams once you have covered 80–90% of the syllabus to refine timing, answer structure, and numerical accuracy.

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

You can solve the sample paper by taking it as a mock board exam. Set a timer while solving the exam. Check questions with the official marking scheme. Reattempt wrong as well as skipped questions. Focus extra on your weak concepts and repeated mistakes to improve marks.

Q5. Which book can I refer to for practice applied maths class 12 questions?

There are various sample papers, practice papers, and question banks you can opt to practise applied maths and boost your score. We suggest you use the Educart Class 12 Maths Question Bank to practise your skills and improve your score.

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