How To Score Full Marks in Class 10 Maths?

Achieving a perfect score in Class 10 Mathematics is a goal that many students aspire to. With the right strategies, dedication, and consistent effort, this objective is well within reach. This comprehensive guide will provide you with actionable steps to excel in your Maths board exam.

Understand the Syllabus and Exam Pattern

Before diving into preparation, it's crucial to familiarize yourself with the syllabus and the exam pattern. Knowing the weightage of each unit helps in prioritizing topics during your study sessions.

• Syllabus Breakdown: The Class 10 Maths syllabus typically includes units like Number Systems, Algebra, Coordinate Geometry, Geometry, Trigonometry, Mensuration, and Statistics & Probability.
• Exam Pattern: Understanding the distribution of marks and the types of questions (e.g., multiple-choice, short answer, long answer) will aid in effective preparation.

Also Check: NCERT Solutions for Class 10 Maths

Master the Fundamentals

A strong grasp of basic concepts is essential.

• Conceptual Clarity: Ensure you understand the underlying principles before attempting complex problems.
• NCERT Textbook: Thoroughly study the NCERT textbook, as it forms the foundation for board exams.

Create a Study Schedule

Organized study plans lead to efficient learning.

• Daily Goals: Set achievable targets for each day to cover various topics.
• Balanced Routine: Allocate time for revision, practice, and relaxation to maintain productivity.

Practice Regularly

Consistent practice is key to mastering Mathematics.

• Solve Exercises: Complete all exercise questions in the NCERT Class 10 textbook to build confidence.
• Sample Papers: Attempt sample question papers to familiarize yourself with the exam format.

Focus on Important Topics

Prioritize topics that carry more weight and are frequently tested.

• High-Weightage Chapters: Concentrate on Algebra, Geometry, and Trigonometry, as they often have significant weightage.
• Difficult Areas: Identify and spend extra time on topics you find challenging.

Memorize Formulas and Theorems

Having key formulas at your fingertips is crucial during exams.

• Formula List: Compile a list of important formulas and review them regularly.
• Application Practice: Apply these Maths formulas in various problems to understand their usage.

Time Management During Preparation

Efficient time management enhances productivity.

• Study Sessions: Use techniques like the Pomodoro Technique to maintain focus.
• Avoid Procrastination: Stick to your study schedule to ensure consistent progress.

Also Check: Toppers Complete Self Study Time Table for Class 10

Time Management During the Exam

Managing time effectively during the exam is crucial.

• Reading Time: Utilize the initial minutes to read through the paper and plan your approach.
• Question Prioritization: Start with questions you are confident about to secure marks early.

Revise Regularly

Regular revision reinforces learning and aids retention.

• Weekly Reviews: Set aside time each week to revisit previously studied topics.
• Mock Tests: Take timed mock tests to assess your preparation level.

Maintain a Healthy Lifestyle

A healthy body supports a sharp mind.

• Balanced Diet: Consume nutritious meals to keep your energy levels up.
• Adequate Sleep: Ensure you get enough rest to aid concentration and memory.

Seek Help When Needed

Don't hesitate to ask for assistance if you're struggling.

• Teachers and Peers: Discuss difficult concepts with teachers or study groups.
• Online Resources: Utilize educational platforms for additional explanations and practice.

Stay Positive and Confident

A positive mindset can significantly impact your performance.

• Self-Belief: Trust in your preparation and abilities.
• Stress Management: Practice relaxation techniques to manage exam anxiety.

Analyze Previous Years' Papers

Understanding the pattern of previous exams can provide valuable insights.

• Identify Trends: Look for frequently asked questions and important topics.
• Practice Accordingly: Focus on areas that have historically been emphasized.

Avoid Last-Minute Cramming

Cramming can lead to confusion and stress.

• Steady Preparation: Stick to your study plan and avoid leaving topics for the last minute.
• Relax Before Exam: Use the day before the exam to relax and lightly review key points.

Utilize Educational Videos

Visual learning can enhance understanding.

• Online Tutorials: Watch educational videos that explain complex concepts in an easy-to-understand manner.
• Interactive Learning: Engage with content that offers interactive problem-solving.

Class 10 Maths Syllabus and Tips to Score Full Marks

One of the most important things to master in any examination is to be thoroughly versed in the prescribed syllabus. For all the doubts that a student has regarding the syllabus, here’s everything that you need to study for the class 10 Maths examination:

• NUMBER SYSTEMS – 06 Marks

Real Numbers 

Fundamental Theorem of Arithmetic – statements after reviewing the work done earlier and after illustrating and motivating through examples; Proofs of the irrationality of. The decimal representation of rational numbers in terms of terminating/non-terminating recurring decimals.

• ALGEBRA – 20 Marks

1. Polynomials

Zeros of a polynomial. Relationship between zeros and coefficients of quadratic polynomials.

2. Pair of Linear Equations in Two Variables

Pair of linear equations in two variables and graphical methods of their solution, consistency/ inconsistency.

Algebraic conditions for a number of solutions. The solution of a pair of linear equations in two variables algebraically – by substitution, by elimination. Simple situational problems. Simple problems on equations reducible to linear equations.

3. Quadratic Equations

Standard form of a quadratic equation ax2 + bx + c = 0, (a ≠ 0). Solutions of quadratic equations (only real roots) by factorization and by using the quadratic formula. Relationship between discriminant and nature of roots.

4. Arithmetic Progressions

The motivation for studying Arithmetic Progression Derivation of the nth term and sum of the first n terms of an A.P.

• COORDINATE GEOMETRY – 06 Marks

1. Lines (In two-dimensions)
    

Review: Concepts of coordinate geometry, graphs of linear equations. Distance formula. Section formula (internal division).

• GEOMETRY – 15 Marks

a. Triangles

Definitions, examples, counterexamples of similar triangles.

1. (Prove) If a line is drawn parallel to one side of a triangle to intersect the other two sides in distinct points, the other two sides are divided in the same ratio.
2. (Motivate) If a line divides two sides of a triangle in the same ratio, the line is parallel to the third side.
3. (Motivate) If the corresponding angles are equal in two triangles, their corresponding sides are proportional, and the triangles are similar.
4. (Motivate) If the corresponding sides of two triangles are proportional, their corresponding angles are equal, and the two triangles are similar.
5. (Motivate) If one angle of a triangle is equal to one angle of another triangle and the sides, including these angles, are proportional, and the two triangles are similar.
6. (Motivate) If a perpendicular is drawn from the vertex of the right angle of a right triangle to the hypotenuse, the triangles on each side of the perpendicular are similar to the whole triangle and to each other.
7. (Prove) In a right triangle, the square on the hypotenuse is equal to the sum of the squares on the other two sides.

b. Circles

Tangent to a circle at the point of contact.

1. (Prove) The tangent at any point of a circle is perpendicular to the radius through the point of contact.
2. (Prove) The lengths of tangents drawn from an external point to a circle are equal.

c. Constructions

1. Division of a line segment in a given ratio (internally).
2. 2. Tangents to a circle from a point outside it.

• TRIGONOMETRY – 12 Marks

a. Introduction to Trigonometry

Trigonometric ratios of an acute angle of a right-angled triangle. Proof of their existence (well defined). Values (with proofs) of the trigonometric ratios of 30o, 45o, and 60o. Relationships between the ratios.

b. Trigonometric Identities

Proof and applications of the identity sin2A + cos2A = 1. Only simple identities to be given.

c. Heights and Distances: Angle of elevation, Angle of Depression

Simple problems on heights and distances. Problems should not involve more than two right triangles. Angles of elevation/depression should be only 30o, 45o, 60o.

• MENSURATION – 10 Marks

a. Areas Related to Circles

Motivate the area of a circle; area of sectors and segments of a circle. Problems based on areas and perimeter/circumference of the above-said plane figures. (In calculating the area of a segment of a circle, problems should be restricted to the central angle of 60°, 90° only. Plane figures involving triangles, simple quadrilaterals, and circles should be taken.)

b. Surface Areas and Volumes

1. Surface areas and volumes of combinations of any two of the following: cubes, cuboids, spheres, hemispheres, and right circular cylinders/cones.
2. 2. Problems involving converting one type of metallic solid into another and other mixed problems. (Problems with combinations of not more than two different solids can be taken).

• STATISTICS AND PROBABILITY – 11 Marks

a. Statistic

Mean, median, and mode of grouped data (bimodal situation to be avoided).

b. Probability

The classical definition of probability. Simple problems on finding the probability of an event.

The question paper pattern for this exam is:

• Section A: Objective Type Questions that are 20 in a number containing 1 mark each.
• Section B: Short Answer Type Questions – I, 6 questions of marks each.
• Section C: Short Answer Type Questions – II, 8 questions of 3 marks each.
• Section D: Long Answer Type Questions, 6 questions containing 4 marks each.

Some tips and tricks during preparation and exam time to score full marks would be to understand each unit and solve sums by yourself, find your strengths and weaknesses, complete the syllabus on time and start a thorough revision. During the exam, start with the section that you are most familiar with, keep your paper as clean as possible, solve in steps as step marking is essential and draw as many diagrams and graphs as time permits.