The Maths for Class 10th under the CBSE board system is a very important subject and a fairly easy one from the point of view of scoring. The subject also requires more time to prepare as compared to the others. Maths is a very important subject because it will help you secure a high percentage in the board exams. In Maths, doing well is easy because as you solve everything correctly step by step, you can get full marks.
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1. Start with the Basics:
Your basics must be very clear especially in case of maths. You need to build your fundamentals to score well in exam. Follow NCERT textbooks and NCERT solutions for class 10 maths as they are very helpful to strengthen your concepts. All the problems are solved with ease only if the basic concepts involved in the problem are understood well.
Chaper 1 - Real Numbers
Chapter 2 - Polynomials
Chapter 3 - Pair of Linear Equation in Two Variables
Chapter 4 - Quadratic Equations
Chapter 5 - Arithmetic Equations
Chapter 6 - Triangles
Chapter 7 - Coordinate Geometry
Chapter 8 - Introduction to Trigonometry
Chapter 9 - Some Application of Trigonometry
Chapter 10 - Circles
Chapter 11 - Constructions
Chapter 12 - Areas Related to Circles
Chapter 13 - Surface Area and Volumes
Chapter 14 - Statistics
Chapter 15 - Probability
2.Make a timetable:
Making a proper time-table is very essential as it will keep you motivated. You should always time yourself while answering the sample papers as it will help you manage time during the exam. Revise as many times as you can. Also, try and finish chapters which you find easy to understand as it will boost your confidence. While preparing, mark the questions and topics that you find difficult. And, give more attention to these difficult areas.
3. Learn and Practice:
The one thing that is very crucial for Class 10 maths preparation is Practice. It is good to go through various types of problems, but at the same time, you should also make sure that you solve them for yourself.Solve a wide variety of problems covering all the topics, rather than just solving similar ones. Start solving Previous Year question papers just before the final exam so that you can have an actual feel of how the Maths paper might be and be aware of the pattern.
With the help of previous year papers, you will easily understand the level of questions which can be asked in CBSE Class 10th Maths board exam. Solving previous year papers will also enhance the writing speed of students.
STATISTICS & PROBABILITY
Tips and tricks to help you during the Exam:
1. Write Neatly:
You should keep in mind that the examiner has to understand every step of your answer and in most of the cases he would not be having much time to spend on a single answer. Avoid overwriting and write very neatly in your answer sheet.
2. Mention clear steps in your Answer:
Whenever you go through an answer, ensure to pay special attention to the steps that helped you to reach out to get the answer. You cannot simply write the answer and get full marks in Maths, you have to mention each and every step clearly. Instead of all this, learn the steps involved. You will definitely secure some marks for each step.
3. Attempt what you know first:
Read the question paper thoroughly before you begin to solve the questions. Mark the questions that you think will not take much time and attempt them first. In order to score high in Maths, you must attend the questions you know and then move on to the unfamiliar ones.
4. Draw Graphs
Using graphs and figures can help you to score more marks if you make them with concentration, accuracy and neatness. For this, you will need a ruler and a sharpened pencil. These are some of the simplest things that you should not forget to carry as they play a vital role in fetching marks.
Important Topics for Maths Class 10
Chapter 1: Real Numbers
Proof of irrationality
Terminating and non-terminating decimals
Euclid’s division lemma
Chapter 2: Polynomials
Zeros of polynomial
Division of polynomials
Relation between zeros and coefficients
Chapter 3: Pair of Linear Equations in Two Variables
Geometrically representing equations in two variables as lines
Conditions of inconsistency of pair of linear equations
Solving equations of two variables via different methods such as cross-multiplication.
Chapter 4: Quadratic Equations
Solution of Quadratic Equations by Using Quadratic Formula
Conditions under which a Quadratic Equation has Real or Imaginary Roots
Chapter 5: Arithmetic Progressions
nth Term of an Arithmetic Progression
Sum of n Terms of an Arithmetic Progression
Tip: Make sure you’ve understood the formulae used for nth term of AP and the sum of terms
Chapter 6: Triangles
Pythagoras Theorem and Its Applications
Tip: Remember to learn the Proof of all Theorems with proper statements and remember to draw the diagram while attempting the question.
Chapter 7:Coordinate Geometry
Section Formula for Internal Division
Area of a Triangle in a Coordinate Plane
Chapter 8: Introduction to Trigonometry
Relation between trigonometric ratios
Table for trigonometric ratios of some standard angles
Trigonometric ratios of complementary angles
Trigonometric identities and their proofs.
Chapter 9: Some Applications of Trigonometry
Solving Real World Problems Involving Heights and Distances
Chapter 10: Circles
Tangents Drawn from an External Point to a Circle
Proof and Application of Theorem 10.1 and 10.2
Chapter 11: Constructions
Construction of a Triangle Similar to The Given Triangle
Construction of Tangents to a Circle from a Point Outside the Circle
Chapter 12: Areas Related to Circles
Area of Segment of a Circle
Area of Combination of Circles and Other Plane Figures
Chapter 13: Surface Area & Volume
Curved Surface Area of Combination of Solids
Total Surface Area of Combination of Solids
Volume of Combination of Solids
Chapter 14: Statistics
Different methods for calculating mean or any missing frequency.
Methods to find median and mode for a given data.
Chapter 15: Probability
Theoretical Probability of Occurrence of Events
Finding Probability Using Complement of a Known Event
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