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How to prepare for Class 9 Mathematics (Maths): Tips & Tricks for Mathematics PDF Download

One thing to be kept in mind all along the way for Maths preparation is that practice is the key here. The more you practice for every topic, the better understanding is achieved.

The main topics in Class 9 Maths are basic arithmetic, algebra, geometry and mensuration, probability, etc. These topics should be practiced as much as possible. The key to solve problems is to by-heart the formulas, understand the theorems, and practice as many times as possible. Maths can become your favorite subject with practice and dedication.


How to prepare for Class 9 Mathematics (Maths): Tips & Tricks for Mathematics

Mathematics Class 9 - Docs, Videos, Tests

Includes 151 docs, 145 videos & 84 tests

Tips & Tricks for Mathematics :

1. Study from the Mathematics NCERT Textbook and practice all the solved examples and exercise questions thoroughly before moving forward to extra practice from additional books. Refer to NCERT Solutions in case of any doubt.

NCERT Textbooks and solutions

Chapter 1 - Number System

Chapter 2 - Polynomials

Chapter 3 - Coordinate Geometry

Chapter 4 - Linear Equations in Two Variables

Chapter 5 - Introduction to Euclids Geometry

Chapter 6 - Lines & Angles

Chapter 7 - Triangles

Chapter 8 - Quadrilaterals

Chapter 9 - Area of Parallelogram & Triangles

Chapter 10 - Circles

Chapter 11 - Constructions

Chapter 12 - Herons Formula

Chapter 13 - Surface Area & Volumes

Chapter 14 - Statistics

Chapter 15 - Probability

2. Practice, above all. The range of questions in class 9 is limited. With substantial practice, most question types will be internalized, and you won’t have to think for most questions.

3. Develop a good understanding of topics. It will help you with those challenging questions or derive formulae in the rare chance you forget. This can be done by watching videos for various topics that will help you develop an interest in the topic.

4. Understand all the concepts in as much depth as you can. And then solve different varieties of questions and problems. Attempt various topic-wise and chapter-wise tests. Also, practice mre with sample papers and previous year papers. Use your knowledge to solve some real life questions as well.

Past year Papers of Class 9 Mathematics

5. Give more importance to the topics which have high weightage. Solve the previous year exam papers which will increase your confidence and give you a pre-exam feel. It also helps to brush up all your concepts before the exam.

6. Don’t just read or mug up the topics but practice them. This is the most important thing which you need to keep in mind as reading maths does not help you. Instead, make a routine and give some time for practice.

Important Topics and Preparation tips for Each Chapter

Chapter 1 : Number Systems

For most students, this is the easiest chapter of all and it carries a weightage of 15 marks.

Frequently Asked Topics: Non-termination numbers, rationalisation, laws of exponents

Chapter 2: Polynomials

The highest scoring chapter is Polynomials. If you want to clear your exam with flying results, you need to prepare this chapter well. Practice as many questions as you can, calculation mistakes are a major factor in this chapter. 

Frequently Asked Topics: Remainder theorem (One question is sure from this topic), zeros of a polynomials, algebraic identities (most important).

Chapter 3: Coordinate Geometry

This topic is a favourite with students. Most of the students find this chapter interesting and unchallenging.

Chapter 4 – Linear Equation in Two Variables 

  • Plot the graphs of linear equations in two variables
  • Solve problems related to graphical solution of linear equations in two variables

Chapter 5: Introduction to Euclid’s Geometry

This is a very short chapter and needs very less time to learn. Go through all of the Euclid’s Axioms and postulates, you will be able to attempt the questions from this chapter.

Chapter 6-7: Geometry (Lines and Angles and Triangles)

Most of the students find geometry a little difficult, but they need to have patience and study the topic with full concentration. Geometry has a weightage of about 30% of the total marks. Students should give extra attention to this topic. 

Do prove all theorems with proper statements and concepts. Draw the diagrams while attempting the question. Practice as many questions as you can for this topic.

Chapter 8 – Quadrilaterals

  • Prove and use that “the diagonals of a parallelogram bisect each other” and its converse
  • Prove and use that “a quadrilateral is a parallelogram if a pair of opposite sides is equal and parallel”
  • Solve problems involving the mid point theorem and its converse

Chapter 9 – Areas of Parallelograms and Triangles

  • Prove and use that “Parallelograms on the same base and between the same parallels are equal in area”
  • Prove and use that “If a parallelogram and a triangle lie on the same base and between the same parallels, then the area of the triangle is one-half the area of the parallelogram”
  • Prove and use that “Two triangles on the same base (or equal bases) and between the same parallels are equal in area”.

Chapter 10 – Circles

  • Prove and use the theorem “equal chords of a circle subtend equal angles at the centre” and its converse
  • Prove and use the theorem “equal chords of a circle (or of congruent circles) are equidistant from the center (or centers)” and its converse
  • Use the property that “Congruent arcs (or equal arcs) of a circle subtend equal angles at the center” to solve problems
  • Prove and use the theorem “the angle subtended by an arc at the centre is double the angle subtended by it at any point on the remaining part of the circle”
  • Prove and use the theorem “The sum of either pair of opposite angles of a cyclic quadrilateral is 180º” and its converse.

Chapter 11 – Construction

  • Construct Angles of Special Measures Using Ruler and Compass and verify the validity of the construction
  • Construct a triangle given its base, sum/difference of the other two sides and one base angle; and understand the reasoning behind the construction
  • Construct a triangle given its perimeter and the base angles; and understand the reasoning behind the construction

Chapter 12: Heron’s Formula

This is a formula based chapter, take less effort and time, if practiced well. Most probably, about two questions will be asked from this topic. Practice a variety of questions from this topic to gain speed.

Chapter 13 – Surface Areas and Volumes

  • Surface Area of Right Circular Cylinders, Both Hollow and Solid
  • Students compute the surface areas of cones
  • Students compute the surface areas of spheres and hemispheres
  • Volume of Right Circular Cylinders, Both Hollow and Solid

Chapter 14 – Statistics

  • Students construct histograms in which, more than one class intervals are grouped together
  • Students read and interpret histograms in which, more than one class intervals are grouped together
  • Students construct frequency polygons both by drawing histograms and independently
  • Solve problems related to finding medians of data sets in cases where the number of terms is even or odd

Chapter 15 – Probability

  • Find probabilities of occurrence and nonoccurrence of events with the help of given experiments and highlight the effect of the increase in the number of trials

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FAQs on How to prepare for Class 9 Mathematics (Maths): Tips & Tricks for Mathematics

1. How can I effectively prepare for Class 9 Mathematics?
Ans. To effectively prepare for Class 9 Mathematics, you can follow these tips and tricks: 1. Understand the syllabus: Start by understanding the complete syllabus for Class 9 Mathematics. This will help you identify the topics that need more focus and plan your study schedule accordingly. 2. Create a study plan: Make a study plan that includes dedicated time for each topic. Break down the syllabus into smaller sections and allocate specific time slots for each. This will ensure that you cover all the topics systematically. 3. Practice regularly: Mathematics requires regular practice. Solve a variety of problems from different sources like textbooks, previous year question papers, and reference books. This will help improve your problem-solving skills and build confidence. 4. Understand the concepts: Focus on understanding the concepts rather than just memorizing formulas. If you have any doubts, seek help from your teacher or refer to additional study materials. 5. Review and revise: Regularly revise the topics you have studied to reinforce your understanding. Solve sample papers and take mock tests to assess your preparation level and identify areas that need improvement.
2. How can I improve my problem-solving skills in Class 9 Mathematics?
Ans. Improving problem-solving skills in Class 9 Mathematics can be done through the following steps: 1. Understand the problem: Read the problem carefully and understand what is being asked. Identify the given information and what needs to be found. 2. Plan a solution: Devise a plan or strategy to solve the problem. Break it down into smaller steps if necessary. This will help you approach the problem systematically. 3. Apply appropriate techniques: Use the relevant formulas, theorems, or concepts to solve the problem. Apply the appropriate mathematical operations and solve step by step. 4. Practice regularly: Regular practice is key to improving problem-solving skills. Solve a variety of problems from different sources to expose yourself to different types of questions and approaches. 5. Analyze your mistakes: When you make mistakes, analyze them to understand where you went wrong. Learn from your mistakes and try to avoid them in future problem-solving.
3. How can I manage my time effectively during the Class 9 Mathematics exam?
Ans. Time management during the Class 9 Mathematics exam can be done using the following strategies: 1. Familiarize yourself with the exam pattern: Understand the exam pattern, marking scheme, and the number of questions. This will help you allocate time for each section accordingly. 2. Practice time-based mock tests: Solve previous year question papers or take mock tests under timed conditions. This will help you get accustomed to solving questions within the given time limit. 3. Prioritize questions: Start with the easier questions that you are confident about. This will help you build momentum and save time for the more challenging ones. 4. Avoid getting stuck: If you are unable to solve a particular question within a few minutes, move on to the next one. Do not waste excessive time on a single question as it may affect your overall performance. 5. Review and revise: After completing the exam, use the remaining time to review your answers and make any necessary corrections. Also, utilize this time to revise any important formulas or concepts.
4. Are there any recommended reference books for Class 9 Mathematics?
Ans. Yes, there are several recommended reference books for Class 9 Mathematics. Some popular ones include: 1. "RD Sharma Mathematics for Class 9" by R.D. Sharma 2. "NCERT Exemplar Problems: Solutions Mathematics Class 9" by NCERT 3. "Mathematics for Class 9" by R.S. Aggarwal 4. "Secondary School Mathematics for Class 9" by V. Aggarwal 5. "Foundation Mathematics: Class 9" by S.K. Gupta These reference books provide additional practice questions, explanations, and solved examples that can supplement your understanding of the topics covered in the textbook.
5. How can I overcome my fear of Mathematics in Class 9?
Ans. Overcoming the fear of Mathematics in Class 9 can be achieved through the following steps: 1. Positive mindset: Develop a positive attitude towards Mathematics. Believe in your ability to understand and solve mathematical problems. 2. Identify the root cause: Identify the specific areas or topics that you find challenging or intimidating. Work on these areas by seeking help from your teacher or using additional study materials. 3. Break it down: Break down complex problems into smaller, manageable steps. This will make them less overwhelming and easier to solve. 4. Regular practice: Regularly practice Mathematics by solving problems from different sources. As you improve your problem-solving skills, your confidence will increase. 5. Seek help when needed: Do not hesitate to seek help from your teacher or classmates if you are struggling with a particular concept or problem. They can provide guidance and support to overcome your difficulties.
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