How to prepare and score Good marks in Math Paper?

Class 11 is the most crucial period in the making of a career for any student. You will be appearing for a lot many competitions, national and international, and a variety of degrees. You will also be appearing for your board exams next year. It becomes very important to have a good command of the basics taught in class 11 so that you can make your foundation strong.

Mathematics is the father of all subjects. It has its application in almost every subject and every field you go to. It has its application in even your daily life activities. However, not all can be the master of the subject. It takes a lot of hard work to excel in mathematics. You may be wondering if you can score decently in maths, in your class 11 examination. Well, you can even score a 100 in mathematics. You just need to study hard with dedication. Practice makes a man perfect. Practice can also make you a master of Mathematics.

Here are a few tips that might help

Prepare a good timetable – Some students are good in Calculus, some are good in Algebra and some are good in Probability. You may mind some chapters hard to study and time-consuming. But you cannot just simply leave the chapter and advance. You may not be able to solve difficult problems in that chapter. But you should try to get the concepts clear. Prepare a timetable in such a way that you can get over with the harder chapters first. And then you can study the easier ones. A minimum of 3-4 hours of study, daily, is important for good preparation.

Know the exam pattern and syllabus – You should be very well aware of the pattern of your board exam. This will help you strategize your exam preparation easily.

Focus on the important topics – You should study every topic, however, you should give extra attention to the important ones.

Sets and Functions

1. Sets 

1. Sets and Subsets
2. Power set.
3. Universal set.
4. Venn diagrams.
5. Union and Intersection of sets
6. Properties of Complement

2. Relations & Functions

1. Domain, co-domain and range of a function.
2. Real valued functions
3. Sum, difference, product and quotients of functions.

3. Trigonometric Functions 

1. Important identities like the following:

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

Algebra

1. Principle of Mathematical Induction 

Process of the proof by induction

2. Complex Numbers and Quadratic Equations
3. Algebraic properties of complex numbers
4. Argand plane and polar representation
5. Fundamental Theorem of Algebra
6. The square root of a complex number

3. Linear Inequalities
4. Algebraic solutions of linear inequalities
5. Graphical solution of linear inequalities
6. Graphical method of finding a solution of a system of linear inequalities

4. Permutations and Combinations
5. The fundamental principle of counting.
6. Factorial n. (n!)
7. derivation of Formulae from nPr and nCr and their connections,
8. simple applications.
9. Binomial Theorem
10. statement and proof of the binomial theorem for positive integral indices.
11. Pascal’s triangle
12. General and middle term in binomial expansion

Sequence and Series

1. Arithmetic Progression (A. P.)
2. Arithmetic Mean (A.M.)
3. Geometric Progression (G.P.)
4. The general term of a G.P.
5. Sum of n terms of a G.P.
6. Infinite G.P. and its sum
7. geometric mean (G.M.)
8. the relation between A.M. and G.M

Coordinate Geometry

1. Straight Lines
2. Shifting of origin
3. The slope of a line
4. The angle between two lines
5. Various forms of equations of line
6. General equation of line
7. Equation of family of lines passing through the point of intersection of two lines. The distance of a point from a line.

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

3. Introduction to Three-dimensional Geometry
4. Coordinate axes and coordinate planes in three dimensions
5. Distance between two points and section formula.

Calculus

1. Limits and Derivatives
2. The intuitive idea of limit
3. Limits of polynomials and rational functions
4. Derivatives of polynomial and trigonometric functions.

Mathematical Reasoning

1. Mathematical Reasoning
2. Mathematically acceptable statements.
3. Validating the statements involving the connecting words
4. the difference among contradiction, converse and contra positive.

Statistics and Probability

1. Statistics 
2. Measuring Dispersion Range, Mean deviation, variance and standard deviation of un grouped/grouped data
3. Analysis of frequency distributions with equal means but different variances.

2. Probability
3. Random experiments; outcomes, sample spaces
4. Events; the occurrence of events, ‘not’, ‘and’ and ‘or’ events
5. exhaustive events
6. mutually exclusive events
7. Axiomatic (set-theoretic)
8. Probability of an event, probability of ‘not’, ‘and’ and ‘or’ events.

Have a good reference material (CBSE Study material/ CBSE Study notes) – A good reference material is very important for you to refer to while studying. The most reliable source of reference is the CBSE Study material/ CBSE Study notes, available online. You can also refer to Toppers Notes available on the internet. These toppers notes, prepared by experts are strict as per CBSE standards.

Solve the CBSE Previous Year Question Papers – the way to test your preparation is to solve the CBSE previous year question papers. After solving, you can analyze the areas that you lack in and accordingly you can strategize your preparation.

Try solving the online test of math class 11, available online – You can solve these class 11th practice tests, after solving the previous year papers. These online test of math class 11 are prepared by experts to enhance your concepts and analytical thinking. The kind of questions in these class 11th practice tests for mathematics can help you build a strong knowledge in Mathematics.