## CBSE class 11 commerce Maths revision test papers

CBSE class 11 commerce Maths revision test papers:- we will provide complete details of CBSE class 11 commerce Maths revision test papers in this article.

### CBSE class 11 commerce Maths revision test papers

The course in Accountancy is introduced at +2 stage of Senior Secondary education, as formal commerce education is provided after first ten years of schooling. With the fast changing economic scenario and business environment in a state of continuous flux, elementary business education along with accountancy as the language of business and as a source of financial information has carved out a place for itself at the Senior School stage. Its syllabus content should give students a firm foundation in basic accounting principles and methodology and also acquaint them with the changes taking place in the presentation and analysis of accounting information, keeping in view the development of accounting standards and use of computers.Against this background, the course puts emphasis on developing basic understanding about the nature and purpose of the accounting information and its use in the conduct of business operations. This would help to develop among students logical reasoning, careful analysis and considered judgement. Accounting as an information system aids in providing financial information. The emphasis at Class XI is placed on basic concepts and process of accounting leading to the preparation of accounts for a sole proprietorship firm. Computerized accounting is becoming popular with the increasing use of computers in business. Keeping this in view, the students are exposed compulsorily to the basic knowledge about computers and its use in accounting in the same year.

### CBSE class 11 commerce Maths revision test papers

**Methods and Techniques** :-The techniques used for teaching should promote habits of self-learning and reduce dependence on the teacher. The multi-skill, learner-centred, activity-based approach already recommended for the previous stages of education, is still in place, though it will be used in such a way that silent reading of prescribed selected texts for comprehension will receive greater focus as one of the activities. Learners will be trained to read independently and intelligently, interacting actively with texts and other reference materials (dictionary, thesaurus, encyclopedia, etc.) where necessary. Some pre-reading activity will generally be required, and course books suggest those activities. The reading of texts should be followed by post reading activities. It is important to remember that every text can generate different reading strategies. Students should be encouraged to interpret texts in different ways, understand the views of others and present their views on a literary text. Some projects may be assigned to students from time to time, for instance, students may be asked to put together a few literary pieces on a given theme.

### CBSE class 11 commerce Maths revision test papers

**Objectives**

**The general objectives at this stage are**:

- to provide extensive exposure to a variety of writings in English, including some classics to develop sensitivity to literary and creative uses of the language.
- to further expand the learners’ vocabulary resources through the use of dictionary, thesaurus and encyclopaedia.
- to develop a taste for reading with discernment and delight.
- to critically examine a text and comment on different aspects.
- to develop proficiency in English both in receptive and productive skills.

**At the end of this course, the learner**

- grasps the global meaning of the text, its gist and understands how its theme and sub-themes relate.
- relates to the details provided in the text, for example, how the details support a generalization or the conclusion either by classification or by contrast and comparison.
- comprehends details, locates and identifies facts, arguments, logical relationships, generalization, conclusion, in the texts.
- draws inferences, supplies missing details, predicts outcomes, grasps the significance of particular details and interprets texts.
- assesses and analyzes the point of view of the author.
- infers the meanings of words and phrases from the context; differentiates between apparent synonyms.
- appreciates stylistic nuances, the lexical structure; its literal and figurative uses and analyses a variety of texts.
- identifies different styles of writing like humorous, satirical, contemplative, ironical and burlesque.
- can produce text-based writing (writing in response to questions or tasks based on prescribed as well as ‘unseen’ texts)
- develops the advanced skills of reasoning, inferring, analysing, evaluating and creating.
- develops familiarity with the poetic uses of language including features of the language through which artistic effect is achieved.

### CBSE class 11 commerce Maths revision test papers

CBSE class 11 commerce Maths revision test papers: Every year Karnataka Pre University Certificate Examination is conducted by CBSE Board. Board releases every year Class 11 Commerce English Question Papers before three months from exams. Class 11 Commerce English Question Papers are very important for student’s preparation. Student can make his doubts clear like paper pattern, time duration, number of question. All these will be cleared easily and you can also learn about importance of Class 11 Commerce English Question Papers. Candidates you can download previous year Class 11 Commerce English Question Papers papers through official web portal. Candidates you can keep in touch with us for latest information about CBSE Class 11 Commerce English Question Papers.

**CBSE class 11 commerce Maths revision test papers**

### Unit-I: Sets and Functions

**1. Sets**

Sets and their representations. Empty set. Finite and Infinite sets. Equal sets. Subsets. Subsets of a set of real numbers especially intervals (with notations). Power set. Universal set. Venn diagrams. Union and Intersection of sets. Difference of sets. Complement of a set. Properties of Complement Sets. Practical Problems based on sets.

**2. Relations & Functions**

Ordered pairs, Cartesian product of sets. Number of elements in the cartesian product of two finite sets. Cartesian product of the sets of real (upto R x R). Definition of relation, pictorial diagrams, domain, co-domain and range of a relation. Function as a special kind of relation from one set to another. Pictorial representation of a function, domain, co-domain and range of a function. Real valued functions, domain and range of these functions: constant, identity, polynomial, rational, modulus, signum, exponential, logarithmic and greatest integer functions, with their graphs. Sum, difference, product and quotients of functions.

**3. Trigonometric Functions**

Positive and negative angles. Measuring angles in radians and in degrees and conversion of one into other. Definition of trigonometric functions with the help of unit circle. Truth of the sin^{2}x+cos^{2}x=1, for all x. Signs of trigonometric functions. Domain and range of trignometric functions and their graphs. Expressing sin (x±y) and cos (x±y) in terms of sinx, siny, cosx & cosy and their simple application. Deducing identities like the following:

Identities related to sin 2x, cos 2x, tan 2x, sin 3x, cos 3x and tan 3x. General solution of trigonometric equations of the type sin y = sin a, cos y = cos a and tan y = tan a.

### Unit-II: Algebra

**1. Principle of Mathematical Induction**

Process of the proof by induction, motivating the application of the method by looking at natural numbers as the least inductive subset of real numbers. The principle of mathematical induction and simple applications.

**2. Complex Numbers and Quadratic Equations**

Need for complex numbers, especially √1, to be motivated by inability to solve some of the quardratic equations. Algebraic properties of complex numbers. Argand plane and polar representation of complex numbers. Statement of Fundamental Theorem of Algebra, solution of quadratic equations in the complex number system. Square root of a complex number.

**3. Linear Inequalities**

Linear inequalities. Algebraic solutions of linear inequalities in one variable and their representation on the number line. Graphical solution of linear inequalities in two variables. Graphical solution of system of linear inequalities in two variables.

**4. Permutations and Combinations**

Fundamental principle of counting. Factorial n. (n!)Permutations and combinations, derivation of formulae and their connections, simple applications.

**5. Binomial Theorem**

History, statement and proof of the binomial theorem for positive integral indices. Pascal’s triangle, General and middle term in binomial expansion, simple applications.

**6. Sequence and Series**

Sequence and Series. Arithmetic Progression (A.P.). Arithmetic Mean (A.M.) Geometric Progression (G.P.), general term of a G.P., sum of n terms of a G.P., Arithmetic and Geometric series infinite G.P. and its sum, geometric mean (G.M.), relation between A.M. and G.M. Formula for the following special sum:

### Unit-III: Coordinate Geometry

**1. Straight Lines**

Brief recall of two dimensional geometry from earlier classes. Shifting of origin. Slope of a line and angle between two lines. Various forms of equations of a line: parallel to axis, point-slope form, slope-intercept form, two-point form, intercept form and normal form. General equation of a line. Equation of family of lines passing through the point of intersection of two lines. Distance of a point from a line.

**2. Conic Sections**

Sections of a cone: circles, ellipse, parabola, hyperbola; a point, a straight line and a pair of intersecting lines as a degenerated case of a conic section. Standard equations and simple properties of parabola, ellipse and hyperbola. Standard equation of a circle.

**3. Introduction to Three–dimensional Geometry**

Coordinate axes and coordinate planes in three dimensions. Coordinates of a point. Distance between two points and section formula.

### Unit-IV: Calculus

**1. Limits and Derivatives**

Derivative introduced as rate of change both as that of distance function and geometrically.

Intutive idea of limit. Limits of polynomials and rational functions, trignometric, exponential and logarithmic functions. Definition of derivative, relate it to slope of tangent of a curve, derivative of sum, difference, product and quotient of functions. The derivative of polynomial and trignometric functions.

### Unit-V: Mathematical Reasoning

**1. Mathematical Reasoning**

Mathematically acceptable statements. Connecting words/ phrases – consolidating the understanding of “if and only if (necessary and sufficient) condition”, “implies”, “and/or”, “implied by”, “and”, “or”, “there exists” and their use through variety of examples related to real life and Mathematics. Validating the statements involving the connecting words difference between contradiction, converse and contrapositive.

### Unit-VI: Statistics and Probability

**1. Statistics**

Measures of dispersion; Range, mean deviation, variance and standard deviation of ungrouped/grouped data. Analysis of frequency distributions with equal means but different variances.

**2. Probability**

Random experiments; outcomes, sample spaces (set representation). Events; occurrence of events, ‘not’, ‘and’ and ‘or’ events, exhaustive events, mutually exclusive events, Axiomatic (set theoretic) probability, connections with the theories of earlier classes. Probability of an event, probability of ‘not’, ‘and’ and ‘or’ events.

### CBSE class 11 commerce Maths revision test papers

**To download ****CBSE class 11 commerce maths sample papers**

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Sl No. | CBSE Class 11 Commerce Maths sample Papers | Download Link |

1. | CBSE Class 11 Commerce Maths sample Paper 01 | check here |

.2 | CBSE Class 11 Commerce Maths sample Paper 02 | check here |

3. | CBSE Class 11 Commerce Maths sample Paper 03 | check herec |

### CBSE class 11 commerce Maths revision test papers

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### CBSE class 11 commerce Maths revision test papers

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