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CBSE Class 10 Syllabus for Maths, NCERT Solutions Class 10 Maths, Notes, International Maths Olympiad (IMO), International Science Olympiad (ISO) and International Coding and Learning Olympiad details 

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NCERT Solutions for Class 10 Maths

Read Notes and Videos,Practice,Mock Tests for Class 10 Maths

Practice questions and NCERT Solutions for Class 10

Maths is one of the vital subjects in Maths stream 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 learning as well as knowledge ability.

Maths is a very important resource for students of CBSE Class 10.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 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.

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, CBSE, with Solutions for Class 10 Maths.

Practice Solutions for Class 10 Maths

NCERT solutions of Class 10 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 10 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 Learning 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.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 10 standard plays a vital role in strengthening the fundamentals of the subject with comprehensive knowledge and understanding.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 Maths in their Higher Secondary level.

CBSE Class 10 Syllabus For Maths 2020

Before getting into the detailed CBSE Class 10 Syllabus for Maths, let us have a look at the units included in CBSE Maths Syllabus along with the marks distribution:

The CBSE Board examination will be conducted for 80 marks. The remaining 20 marks is allotted for Internal Assessment.

CBSE Class 10 Maths Syllabus & Exam Pattern

There were several changes in CBSE Class 10 Maths Exam Pattern and the changes are tabulated below:

CBSE New Exam Pattern For Class 10 Maths 

CBSE Class 10 Syllabus For Maths –  Number Systems

Real Numbers – Euclid’s division lemma, Fundamental Theorem of Arithmetic – statements after reviewing work done earlier and after illustrating and motivating through examples, Proofs of results – irrationality of √2, √3, √5, decimal expansions of rational numbers in terms of terminating/non-terminating recurring decimals

CBSE Class 10 Syllabus For Maths –  Algebra

Polynomials – Zeros of a polynomial. Relationship between zeros and coefficients of quadratic polynomials. Statement and simple problems on division algorithm for polynomials with real coefficients.

Pair Of Linear Equations In Two Variables
a. Pair of linear equations in two variables and graphical method of their solution, consistency/inconsistency.
b. Algebraic conditions for number of solutions. Solution of a pair of linear equations in two variables algebraically – by substitution, by elimination and by cross multiplication method. Simple situational problems. Simple problems on equations reducible to linear equations.

Quadratic Equations – a. Standard form of a quadratic equation ax2+bx+c=0, (a ≠ 0). Solution of the quadratic equations (only real roots) by factorization, by completing the square and by using quadratic formula. Relationship between discriminant and nature of roots.b. Situational problems based on quadratic equations related to day to day activities to be incorporated.

Arithmetic Progressions – Motivation for studying Arithmetic Progression Derivation of the nth term and sum of the first n terms of A.P. and their application in solving daily life problems.

CBSE Class 10 Syllabus For Maths –  Coordinate Geometry

Lines (In two-dimensions) – Concepts of coordinate geometry, graphs of linear equations. Distance formula. Section formula (internal division). Area of a triangle.

CBSE Class 10 Syllabus For Maths – Geometry

Triangles
Definitions, examples, counter examples of similar triangles.

(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.

(Motivate) If a line divides two sides of a triangle in the same ratio, the line is parallel to the third side.

(Motivate) If in two triangles, the corresponding angles are equal, their corresponding sides are proportional and the triangles are similar.

(Motivate) If the corresponding sides of two triangles are proportional, their corresponding angles are equal and the two triangles are similar.

(Motivate) If one angle of a triangle is equal to one angle of another triangle and the sides including these angles are proportional, the two triangles are similar.

(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.

(Prove) The ratio of the areas of two similar triangles is equal to the ratio of the squares on their corresponding sides.

(Prove) In a right triangle, the square on the hypotenuse is equal to the sum of the squares on the other two sides.

(Prove) In a triangle, if the square on one side is equal to sum of the squares on the other two sides, the angles opposite to the first side is a right triangle.

Circles
Tangents to a circle motivated by chords drawn from points coming closer and closer to the point.

(Prove) The tangent at any point of a circle is perpendicular to the radius through the point of contact.

(Prove) The lengths of tangents drawn from an external point to circle are equal.

Constructions

Division of a line segment in a given ratio (internally).

Tangent to a circle from a point outside it.

Construction of a triangle similar to a given triangle.

CBSE Class 10 Syllabus For Maths – Trigonometry

1. Introduction To Trigonometry – Trigonometric ratios of an acute angle of a right-angled triangle. Proof of their existence (well defined); motivate the ratios, whichever are defined at 0° and 90°. Values (with proofs) of the trigonometric ratios of 30°, 45° and 60°. Relationships between the ratios.
2. Trigonometric Identities – Proof and applications of the identity sin2A + cos2A = 1. Only simple identities to be given. Trigonometric ratios of complementary angles.
3. Heights and Distances – Simple and believable problems on heights and distances. Problems should not involve more than two right triangles. Angles of elevation/depression should be only 30°, 45°, 60°.

CBSE Class 10 Syllabus For Maths | Mensuration

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° and 120° only. Plane figures involving triangles, simple quadrilaterals and circle should be taken).

Surface Areas and Volumes – 

a. Problems on finding surface areas and volumes of combinations of any two of the following: cubes, cuboids, spheres, hemispheres and right circular cylinders/cones. Frustum of a cone.

b. Problems involving converting one type of metallic solid into another and other mixed problems

CBSE Class 10 Syllabus For Maths – Statistics And Probability

Statistics – Mean, median and mode of grouped data (bimodal situation to be avoided). Cumulative frequency graph.

Probability – Classical definition of probability. Simple problems on single events (not using set notation).

CBSE Class 10 Syllabus For Maths – Internal Assessment

The Internal Assessment carries 20 marks:

CBSE Class 10 Syllabus For Maths – Best Books For CBSE Class 10 Maths

Tips and Tricks to learn 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. 
• Practice the derivatives perfectly and do not miss the optics, magnetism and electrostatics as these are the important sections for major questions.Practicing the conceptual question can help in preparing practical as well as the concept once get clear can help in answering question from all sections.
• Solve as many Class 10  sample papers you can, but try to solve at least 3-4 completely. 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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