CBSE Class 10 Syllabus For Maths recently saw scraping of some topics. Students in search of CBSE Class 10 Revised Syllabus for Maths can refer to this article. Knowing the CBSE Class 10 Syllabus for Maths is a prerequisite thing for students appearing for Board Examination. Otherwise, they might miss out on certain chapters and topics. Maths is an important subject in Class 10. Mathematics plays a major role in choosing the career stream at higher secondary level.
So, students who want to go for Science must secure good marks in Mathematics. In order to secure good marks in Mathematics, students should be crystal clear with the CBSE Syllabus for Maths. In this article, we will give detailed CBSE Class 10 Syllabus For Maths along with section-wise marks distribution. Read on to find out everything about CBSE Class 10 Syllabus for Maths.
New CBSE Class 10 Maths Syllabus
Due to the loss of Classroom teaching time, HRD Minister Ramesh Nishank Pokriyal has reduced the CBSE Class 10 Maths Syllabus Up to 30%. CBSE syllabus has been acquitted keeping intact the learning outcomes so that the core concepts of students can be retained. Followed by the tweet, CBSE officials have also released a notification regarding the same. However, teachers are notified to explain the deleted topics even though if they are not included in the portion. The CBSE Class 10 Maths deleted portion are given below:
CBSE Class 10 Syllabus For Maths 2020-21
Before getting into the detailed CBSE Class 10 Syllabus for Maths, let us have a look at the units included in CBSE Mathematics Syllabus along with the marks distribution:
| Unit No | Unit Name | Marks |
| 1 | Number Systems | 06 |
| 2 | Algebra | 20 |
| 3 | Coordinate Geometry | 06 |
| 4 | Geometry | 15 |
| 5 | Trigonometry | 12 |
| 6 | Mensuration | 10 |
| 7 | Statistics & Probability | 11 |
| Total | 80 marks |
The CBSE Board examination will be conducted for 80 marks. The remaining 20 marks are allotted for Internal Assessment. Let us now look at the detailed CBSE Class 10 Syllabus for Mathematics – chapters and concepts under each unit.
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
| Maths CBSE Exam Pattern 2018-2019 | CBSE New Exam Pattern For 2019-2020 – Maths |
| The question paper consists of 30 questions divided into four sections A, B, C & D.i. Section A comprises 6 questions of 1 mark each. ii. Section B comprises 6 questions of 2 marks each. iii. Section C comprises 10 questions of 3 marks each. iv. Section D comprises 8 questions of 4 marks each. There is no overall choice. However, an internal choice has been provided in two questions of 1 mark each, two questions of 2 marks each, four questions of 3 marks each and three questions of 4 marks each. You have to attempt only one of the alternatives in all such questions | The question paper consists of 40 questions divided into four sections A, B, C & D.i. Section A comprises 20 questions of 1 mark each. ii. Section B comprises 6 questions of 2 marks each. iii. Section C comprises 8 questions of 3 marks each. iv. Section D comprises 6 questions of 4 marks each. There is no overall choice. However internal choices have been provided in two questions of 1 mark each, two questions of 2 marks each, three questions of 3 marks each and three questions of 4 marks each. Candidates must attempt only one of the alternatives in all such question |
CBSE Class 10 Syllabus For Maths – Number Systems
- Real Numbers – 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.
- 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. 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.
- Arithmetic Progressions – Motivation for studying Arithmetic Progression Derivation of the nth term.
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).
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.
- 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.
CBSE Class 10 Syllabus For Maths – Trigonometry
- 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 30°, 45° and 60°. Relationships between the ratios.
- Trigonometric Identities – Proof and applications of the identity sin2A + cos2A = 1. Only simple identities to be given.
- 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°. 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.
- 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 – Median and mode of grouped data (bimodal situation to be avoided).
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: Internal Assessment | |
| Regular Class Test / Periodical Test | 10 Marks |
| Assignments and Activity | 5 Marks |
| Note Book Submission | 5 Marks |
CBSE Class 10 Syllabus For Maths – Best Books For CBSE Class 10 Maths
| CBSE Class 10 Syllabus For Maths: Prescribed Books For Mathematics | |
| 1 | Mathematics Textbook for Class X – NCERT Publication |
| 2 | Guidelines for Mathematics Laboratory in Schools, Class X – CBSE Publication |
| 3 | Mathematics Exemplar Problems for Class X, NCERT Publication |
| 4 | Laboratory Manual – Mathematics, NCERT Publication |
Now you have a clear idea about CBSE Class 10 Syllabus for Maths. Make sure you finish each and every topic in the most effective and efficient manner.
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