IMO class 11 level 2 | IMO class 11 registration | IMO workbook class 11 pdf | IMO mock test for class 11

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Maths olympiad class 11 2023

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Maths is one of the vital subject and it is also of very much importance while preparing for various competitive exams and hence it is essential to prepare it from the very beginning. Understanding the concepts and applying them in the provided situation can improvise your analytical as well as logical thinking.

Maths is a very important resource for students of CBSE Class 11. Maths is an interesting subject for the enhancement of analytical and problem solving skills.

Unfortunately, many students find it difficult because of no interest or lack of better knowledge to comprehend.  Maths is really a difficult subject but very interesting when comprehended well and practice with easy to hard problems and students find it difficult because most of them do not have their basics clear for the subject. Lack of sufficient practice tool is a major reason why solving Mathematical problems seems a tough nut to crack.

School Connect Online students are not only solving and understanding questions from Maths from NCERT or Syllabus but also they are solving questions to practice Maths Olympiad this helps students to become expert

To help you with this, we have learning notes and videos, Practice questions for  NCERT,JEE Main and Advance,IIT JEE Main and  Advance, with Solutions for Class 11 Maths.

Maths olympiad questions for class 11 pdf

NCERT solutions of Class 11 Maths includes solutions of all questions and more to help and support practice with more relevant and important questions. These solutions have been provided and prepared by the most experienced teachers and important resources. A very simple approach has been followed while solving the questions and designing the NCERT Solutions for Class 11 Maths. Students will find it extremely easy to understand the problems and how to go about solving them.

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Unlike other subjects, rote learning cannot help you to excel in  Maths as it requires more analytical approach and critical ability to think and solve. Even for other subjects, rote learning is not recommended as it won’t be of much use after a point of time.  Maths, from the very beginning, needs one to think logically to enhance analytical ability. But just because the subject needs logical thinking and analytical skills does not mean it is tough.  Maths needs practice and with practice, anything can be perfected, even the way you think and analyze.
So, it is of utmost importance to take  Maths seriously right from your early school life. Getting your basics clear at this point will make it easier for you to handle difficult concepts as you grow older.

 Maths of Class 11 standard plays a vital role in strengthening the fundamentals of the subject with comprehensive analysis. It is at this point, Maths goes beyond simple addition, subtraction, multiplication, and division and move onto more complex concepts to practice and understand . So, one must prepare for this subject in a serious manner and get all their doubts clear,with maximum practice more and more to master the problem solving skill. Otherwise, they won’t be able to cope with the subject later, especially if they are planning to take up Science in their Higher Secondary level.Subject like Maths and Maths in higher classes has Maths base to solve and analyse.

IIT JEE Main And Advance Paper Analysis for Maths

Maths

Maths was the easiest paper amongst the three. Most questions were calculative. There were 10 questions asked from the 11th standard syllabus and 20 questions from the 11th standard syllabus. This section had 3 difficult questions, 14 moderate questions and 13 easy questions.

This is a breakup of chapters which had the toughest and easiest questions:

This is the breakup of marks between different topics of the Maths section:

Maths Syllabus for Class 11 

Unit-I: Sets and Functions

1. Sets

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

2. Relations & Functions

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

3. Trigonometric Functions

• Positive and negative Angles.
• Definition of trigonometric functions with the help of the unit circle.
• Truth of the sin2x+cos2x=1, for all x.
• Signs of trigonometric functions
• Domain and range of trigonometric functions and their graphs.
• Measuring angles in radians and in degrees and conversion of one into other. Expressing sin (x±y) and cos (x±y) in terms of sin x, sin y, cos x & cos y and their simple application.
• Deducing identities like the following: Identities related to sin 2x, cos2x, tan 2x, sin3x, cos3x and tan3x.
• 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 quadratic 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.
• Intuitive idea of limit.
• Limits of polynomials and rational functions, trigonometric, 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 trigonometric 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 Maths.
• 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.

IIT JEE Syllabus for Maths

Tips and Tricks to prepare for Maths

Attempt as many conceptual questions on those derivations as you can. This will give you a better understanding of the subject.

• Look for new questions on similar context from previous year’s question papers, sample papers and other model test papers.
• Always time yourself while solving sample papers as it will help you better manage time during the exam.

• Revision of notes and memorizing the formulas and the definition of difficult terms helps a lot while last minute preparation. Keep a few lists of topics separately for quick revision and it must contain the important formulae, derivations and important definitions. 
• Solve as many Class 11 sample papers you can.Practice past year question papers & model test papers.
• Time management is a must; take out time for re-creation as well along side preparation.
• Try and finish all the topics and questions in the NCERT books.CBSE board questions are majorly based on the question in this book only.

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