# QUICK REVISION CBSE CLASS 10 MATHEMATICS

The ebook ‘Quick revision Chapterwise mind- maps’ Class-10 Mathematics covers 15 chapters of NCERT

This ebook is unique and the mind maps are designed in the most comprehensive manner.

Mind maps are extremely helpful in faster recall and quick revision

Asset for students to excel in CBSE board exam as well as competitive exams like NTSE etc.

### CBSE Class 10 Marking Scheme And Weightage Distribution – Maths

Below mentioned are the list of chapters/units with their weights for the board exams for 2019-20:

The CBSE Class 10 marking scheme and weightage distribution for Mathematics are tabulated below:

Unit |
Title |
Weightage |

1 | Number System | 06 |

2 | Algebra | 20 |

3 | Co-ordinate Geometry | 06 |

4 | Geometry | 15 |

5 | Trigonometry | 12 |

6 | Mensuration | 10 |

7 | Statistics And Probability | 11 |

Total Marks |
80 |

### REAL NUMBER

**number**we normally use, such as 1, 15.82, −0.1, 3/4, etc. Positive or negative, large or small, whole

**numbers**or decimal

**numbers**are all

**Real Numbers**. They are called “

**Real Numbers**” because they are not Imaginary

**Numbers**.

POLYNOMIALS

A **polynomial** is **defined** as an expression of two or more algebraic terms. The term **polynomial** itself means “poly” (means many) and “nomial” (means terms). A **polynomial** can consist of constants, variables, and even exponents.

PAIR OF LINEAR EQUATIONS IN TWO VARIABLES

If **two linear equations** have the **two** same **variables**, they are called a **pair of linear equations in two variables**. Following is the most general form of **linear equations**: a_{1}**x** + b_{1}y + c_{1} = 0.

A real number x is called a root of the quadratic equation ax^{2} + bx + c =0, a 0 if aα^{2} + bα + c =0.In this case, we say x = α is a solution of the quadratic equation.

**NOTE:**

1. The zeroes of the quadratic polynomial ax^{2} + bx + c and the roots of the quadratic equation ax^{2} + bx + c = 0 are the same.

2. Roots of quadratic equation ax^{2} + bx + c =0 can be found by factorizing it into two linear factors and equating each factor to zero.

**ARITHMETIC PROGRESSION**

A **sequence** is called an **arithmetic progression** (abbreviated A.P.) if and only if the difference of any term from its preceding term is constant. A **sequence** in which the common difference between successors and predecessors will be constant. i.e. a, a+d,a+2d.

**Triangle** is derived from word Tri **meaning** three & Angle, implies 3 angles. It is a closed figure formed by 3 intersecting lines.

The point of intersection of axis is called origin. The distance of a point from y axis is called x –**coordinate** or abscissa and the distance of the point from x –axis is called y – **coordinate** or Ordinate.

**Trigonometry** is a branch of mathematics dealing with relations involving lengths and angles of triangles. It can, in a simpler manner, be called the study of triangles. The angles are either measured in degrees or radians

A **circle** is a closed shape with a set of points in a plane which are at a specific distance from the center. This specific distance is known to be the radius of a **circle**.

**Statistics** deals with collection, presentation, analysis and interpretation of numerical data. Arranging data in a order to study their salient features is called presentation of data. Data arranged in ascending or descending order is called arrayed data or an array.

Theoretical **probability** associated with an event E is defined as “If there are ‘n’ elementary events associated with a random experiment and m of these are favourable to the event E then the **probability** of occurrence of an event is defined by P(E) as the ratio “.