Today we will talk about **CBSE Maths Syllabus Class 10 | CBSE Syllabus for Class 10 Maths 2020-21 PDF**. So let’s start the topic **CBSE Maths Syllabus Class 10 | CBSE Syllabus for Class 10 Maths 2020-21 PDF**.

**CBSE Maths Syllabus Class 10**

**COURSE STRUCTURE CLASS –X**

Units | Unit Name | Marks |

I | NUMBER SYSTEMS | 06 |

II | ALGEBRA | 20 |

III | COORDINATE GEOMETRY | 06 |

IV | GEOMETRY | 15 |

V | TRIGONOMETRY | 12 |

VI | MENSURATION | 10 |

VII | STATISTICS & PROBABILTY | 11 |

Total | 80 |

**UNIT I: NUMBER SYSTEMS**

**1. REAL NUMBER (15) Periods**

Euclid’s division lemma, Fundamental Theorem of Arithmetic – statements after

reviewing work done earlier and after illustrating and motivating through examples,

Proofs of irrationality of Decimal representation of rational numbers interms

of terminating/non-terminating recurring decimals.

**UNIT II: ALGEBRA**

**1. POLYNOMIALS (7) Periods**

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

polynomials. Statement and simple problems on division algorithm for polynomials with

real coefficients.

**2. PAIR OF LINEAR EQUATIONS IN TWO VARIABLES (15) Periods**

Pair of linear equations in two variables and graphical method of their

solution, consistency/inconsistency.

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.

**3. QUADRATIC EQUATIONS (15) Periods**

Standard form of a quadratic equation ax2 + bx + c = 0, (a ≠ 0). Solutions of quadratic

equations (only real roots) by factorization, and by using quadratic formula. Relationship

between discriminant and nature of roots.

Situational problems based on quadratic equations related to day to day activities to be

incorporated.

**4. ARITHMETIC PROGRESSIONS (8) Periods**

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.

**UNIT III: COORDINATE GEOMETRY**

**1. LINES (In two-dimensions) (14) Periods**

Review: Concepts of coordinate geometry, graphs of linear equations. Distance formula.

Section formula (internal division). Area of a triangle.

**UNIT IV: GEOMETRY**

**1. TRIANGLES (15) Periods**

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

of 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 angle.

**2. CIRCLES (8) Periods**

Tangent to a circle at, point of contact

- (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 a circle are equal.

**3. CONSTRUCTIONS (8) Periods**

- Division of a line segment in a given ratio (internally).
- Tangents to a circle from a point outside it.
- Construction of a triangle similar to a given triangle.

**UNIT V: TRIGONOMETRY**

**1. INTRODUCTION TO TRIGONOMETRY (10) Periods**

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

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of the trigonometric ratios of 300, 450 and 600. Relationships between the ratios.

**2. TRIGONOMETRIC IDENTITIES (15) Periods**

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

given.Trigonometric ratios of complementary angles.

**3. HEIGHTS AND DISTANCES: Angle of elevation, Angle of Depression. (8) Periods**

Simple problems on heights and distances. Problems should not involve more than two

right triangles. Angles of elevation / depression should be only 30°, 45°, 60°.

**UNIT VI: MENSURATION**

**1. AREAS RELATED TO CIRCLES (12) Periods**

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

area of segment of a circle, problems should be restricted to central angle of 60°, 90°

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

be taken.)

**2. SURFACE AREAS AND VOLUMES (12) Periods**

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

problems. (Problems with combination of not more than two different solids be taken).

**UNIT VII: STATISTICS AND PROBABILITY**

**1. STATISTICS (18) Periods**

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

frequency graph.

**2. PROBABILITY (10) Periods**

Classical definition of probability. Simple problems on finding the probability of an

event.

**MATHEMATICS-Standard QUESTION PAPER DESIGN CLASS – X (2020-21)**

Time : 3 Hours Max. Marks: 80

S. No. | Typology of Questions | Total Marks | % Weightage (approx.) |

1 | Remembering: Exhibit memory of previously learned material by recalling facts, terms, basic concepts, and answers. Understanding: Demonstrate understanding of facts and ideas by organizing, comparing, translating, interpreting, giving descriptions, and stating main ideas | 43 | 54 |

2 | Applying: Solve problems to new situations by applying acquired knowledge, facts, techniques and rules in a different way. | 19 | 24 |

3 | Analysing: Examine and break information into parts by identifying motives or causes. Make inferences and find evidence to support generalizations Evaluating: Present and defend opinions by making judgments about information, validity of ideas, or quality of work based on a set of criteria. Creating: Compile information together in a different way by combining elements in a new pattern or proposing alternative solutions |
18 | 22 |

Total | 80 | 100 |

INTERNAL ASSESSMENT |
20 MARKS |

Pen Paper Test and Multiple Assessment (5+5) | 10 Marks |

Portfolio | 05 Marks |

Lab Practical (Lab activities to be done from the prescribed books) | 05 Marks |

**MATHEMATICS-Basic QUESTION PAPER DESIGN CLASS – X (2020-21)**

Time: 3 Hrs. Max. Marks: 80

S. No. | Typology of Questions | Total Marks | % Weightage (approx.) |

1 | Remembering: Exhibit memory of previously learned material by recalling facts, terms, basic concepts, and answers. Understanding: Demonstrate understanding of facts and ideas by organizing, comparing, translating, interpreting, giving descriptions, and stating main ideas | 60 | 75 |

2 | Applying: Solve problems to new situations by applying acquired knowledge, facts, techniques and rules in a different way. | 12 | 15 |

3 | Analysing: Examine and break information into parts by identifying motives or causes. Make inferences and find evidence to support generalizations Evaluating: Present and defend opinions by making judgments about information, validity of ideas, or quality of work based on a set of criteria. Creating: Compile information together in a different way by combining elements in a new pattern or proposing alternative solutions |
8 | 10 |

Total | 80 | 100 |

INTERNAL ASSESSMENT |
20 MARKS |

Pen Paper Test and Multiple Assessment (5+5) | 10 Marks |

Portfolio | 05 Marks |

Lab Practical (Lab activities to be done from the prescribed books) | 05 Marks |

**PRESCRIBED BOOKS:**

- Mathematics – Textbook for Class X – NCERT Publication
- Guidelines for Mathematics Laboratory in Schools, class X – CBSE Publication
- Laboratory Manual – Mathematics, secondary stage – NCERT Publication
- Mathematics exemplar problems for class X, NCERT publication.
**CBSE Maths Syllabus Class 12**

**CBSE Mathematics Syllabus for Class 10 2020-21 PDF**

**Download CBSE Maths Syllabus for Class 10 PDF**

**Conclusion**

So, these were the **CBSE Maths Syllabus Class 10 | CBSE Syllabus for Class 10 Maths 2020-21 PDF**. If I forgot any book please mention it in the comment section, I will add it.