CBSE Class 12 Applied Mathematics Previous Year Question Paper 2024

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CBSE Class 12 Applied Mathematics Previous Year Question Paper 2024

Applied mathematics in Class 12 is an important subject that involves applying mathematical concepts and formulas to real-world problems. It is not just about understanding equations; it is about applying the equations to the real atmosphere. Students get tense about the preparation for applied math. To solve this problem, CBSE released the previous year's question paper.

Here at Educart, you will get a direct link to download the previous year's paper with marking scheme solutions to ensure that both teachers and students are equipped with the right material for a smooth learning journey.

CBSE Class 12 Applied
Question Papers 2024
(Marking Scheme)
465 Applied Mathematics Download

Applied Maths Class 12 Previous Year Question Paper Pattern 

Understanding question patterns is essential for better preparation. Here is the pattern most easily and simply:

Section Question Types No. of Questions
Section A MCQs and Assertion-Reason
based Questions
20Q (1m)
Section B Very Short Answer-type
Questions I
5Q (2m)
Section C Short Answer-type
Questions II
6Q (3m)
Section D Long Answer-type
4Q (5m)
Section E Case-based Questions 3Q (4m)

This question paper contains five sections: A, B, C, D, and E. Each section is compulsory. However, there is some internal choice in some questions.

  • Section A has 18 MCQs and 2 assertion-based questions of 1 mark each. MCQs are made to test basic knowledge; they cover all the major topics.

Example: The value of -70 mod 13 is:

  1. (a) 5 (b) −5 (c) 8 (d)−8
  • Section B has 5 Very Short Answer (VSA) questions of 2 marks each. The VSA questions test conceptual clarity and the ability to apply knowledge concisely.

Example: At what rate of interest will the present value of a perpetual of 1500 payable at the end of every 6 months be 20,000?

  • Section C has six short answer (SA) questions of 3 marks each. These questions test deep understanding and the ability to explain.

Example: Find: ∫(x2 + 1) 𝑙𝑜𝑔 𝑥 𝑑x

  • Section D has 4 Long Answer (LA) questions of 5 marks each. Long-answer questions often involve multiple steps and a detailed approach. 

Example: How many times does Sunil toss a fair coin so that the probability of getting at least one head is more than 90%?

  • Section E has 3 source-based, case-based, passage-based, and integrated units of assessment (four marks each) with sub-parts. These are mostly case-based or source-based questions and often involve complex problem-solving.

Internal choice is provided in 2 questions in Section B, 2 questions in Section C, and 2 questions in Section D. You have to attempt only one alternative to all such questions. 

Insights from the Class 12 Applied Mathematics Syllabus 

There are a total of eight units in applied mathematics; each unit carries a different weight of marks and allows you to apply the concepts to real-world problems. Let us get a brief overview of the syllabus important for class 12 math exams: 

Unit 1: Numbers, Quantification, and Numerical Applications 

This unit includes topics like modulo arithmetic, congruence modulo, alligation and mixture, numerical problems, boats, and streams and contains a total of 11 marks in the exam. 

Unit 2: Algebra 

Algebra contains 10-mark questions in the exam and includes major topics such as matrices and types of matrices, equality of matrices, transpose of a matrix, symmetric and skew-symmetric matrix, algebra of matrices, and determinants. 

Unit 3: Calculus

Calculus is a very important chapter, carries 15 marks of weight in the exams, and includes topics like Differentiation and its Applications, Integration and its Applications, Differential Equations, and Modelling. 

Unit 4: Probability Distributions 

Unit 4 includes probability distribution, mathematical expectation, variance, binomial distribution, and poison distribution and carries 10 marks in the exam. 

Unit 5: Inferential Statistics

Inferential statistics carries 5 marks in the exam, including topics like population and sample, parameters and statistics, statistical interferences, and t-tests.

Unit 6: Index Numbers and Time-Based Data

Unit 6 carries 6 marks of weightage in the exam and includes major topics like time series, components of time series, time series analysis for univariate data, secular trends, and methods of measuring trends. 

Unit 7: Financial Mathematics

Unit 7 is important as it carries 15 marks in the exam and contains topics like perpetually, sinking funds, calculation of EMI, calculation of returns, the nominal rate of return, and compound annual growth rate. 

Unit 8: Linear Programming

Unit 8 includes major topics like Introduction and related terminology, mathematical formulation of linear programming problems, different types of linear programming problems, and graphic methods of solution for problems in two variables, feasible and infeasible regions, and carries 8 marks in the exam. 

Download the CBSE Class 12 Applied Math Previous Year Papers from the links and include them in your exam preparation.


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