Get Here free PDF download of ** CBSE Class 10 Maths revision notes **and ** short key-notes ** to score more marks in your exams. These ** Notes of Mathematics Class 10 ** make the complicated problems look easy as they are broken into simple steps with a lucid explanation of each step. **Handwritten Notes ** of Mathematics for Class 10 are important to enable students to have a quick recap of the entire syllabus in no time. One can easily revise the precise notes in a day or two. This helps one to recall all he/she has read and practice for the entire year. Once they get the hint, the students are quick to recall the entire material. Study Key Notes or Revision notes helps students in quick revision to recall all that has been learned throughout the year. Notes make this process of recall easy.

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Class 10 Maths Marks Distribution | |
---|---|

Units | Marks |

Number Systems | 06 |

Algebra | 20 |

Coordinate Geometry | 06 |

Geometry | 15 |

Trigonometry | 12 |

Mensuration | 10 |

Statistics & Probability | 11 |

Internal Assessment | 20 |

Total | 100 |

CBSE Class 10 Maths Syllabus

- Real Numbers
- Polynomials
- Pair of Linear Equations in Two Variables
- Quadratic Equations
- Arithmetic Progressions
- Triangles
- Coordinate Geometry
- Statistics
- Probability
- Introduction to Trigonometry
- Some Applications of Trigonometry
- Circles
- Constructions
- Area Related to Circles
- Surface Areas and Volumes

**UNIT I: NUMBER SYSTEMS**

**1. REAL NUMBER**

Fundamental Theorem of Arithmetic - statements after reviewing work done earlier and after illustrating and motivating through examples, Proofs of irrationality.

**UNIT II: ALGEBRA**

**POLYNOMIALS**Zeros of a polynomial. Relationship between zeros and coefficients of quadratic polynomials.**PAIR OF LINEAR EQUATIONS IN TWO VARIABLES**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. Simple situational problems.**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 quadratic formula. Relationship between discriminant and nature of roots. 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.

**UNIT III: COORDINATE GEOMETRYCoordinate Geometry** Review: Concepts of coordinate geometry, graphs of linear equations. Distance formula. Section formula (internal division).

**UNIT IV: GEOMETRY**

**TRIANGLES**Definitions, examples, counter examples 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 in two triangles, the corresponding angles are equal, 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, the two triangles are similar.**CIRCLES**Tangent to a circle at, 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.

**UNIT V: TRIGONOMETRY**

**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 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: Angle of elevation, Angle of Depression. (10)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°, and 60°.

**UNIT VI: MENSURATION**

**AREAS RELATED TO CIRCLES**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.**SURFACE AREAS AND VOLUMES**Surface areas and volumes of combinations of any two of the following: cubes, cuboids, spheres, hemispheres and right circular cylinders/cones.

**UNIT VII: STATISTICS AND PROBABILITY**

**STATISTICS**Mean, median and mode of grouped data (bimodal situation to be avoided).**PROBABILITY (10) Periods**Classical definition of probability. Simple problems on finding the probability of an event.

**PRESCRIBED BOOKS:**

- Mathematics - Textbook for class IX - NCERT Publication
- Mathematics - Textbook for class X - NCERT Publication
- Guidelines for Mathematics Laboratory in Schools, class IX - CBSE Publication
- Guidelines for Mathematics Laboratory in Schools, class X - CBSE Publication
- Laboratory Manual - Mathematics, secondary stage - NCERT Publication
- Mathematics exemplar problems for class IX, NCERT publication.
- Mathematics exemplar problems for class X, NCERT publication.

Structure of CBSE Maths Sample Paper for Class 10 is

Type of Question | Marks per Question | Total No. of Questions | Total Marks |
---|---|---|---|

Objective Type Questions | 1 | 20 | 20 |

Short Answer Type Questions - I | 2 | 6 | 12 |

Short Answer Type Questions - II | 3 | 8 | 24 |

Long Answer Type Questions | 4 | 6 | 24 |

Total | 40 | 80 |

For Preparation of exams students can also check out other resource material

CBSE Class 10 Maths Sample Papers

CBSE Class 10 Maths Worksheets

CBSE Class 10 Maths Test Papers

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