CBSE Compartment Exam Date Sheet 2023

June 1, 202339 Insightful Publications

**CBSE Syllabus for Class 9 Maths: **CBSE Mathematics is an important subject in any class. Students can score full marks in this subject if they have conceptual clarity and solve sample questions sincerely. The CBSE syllabus for Class 9 Maths covers a variety of concepts on Algebra, Geometry, Real Numbers, Mensuration, Statistics & Probability.

Students can also watch the 3D videos on Embibe to understand their Maths topics. The concepts are explained through animation which makes learning easy. Also, there are 200+ sample questions which will help students memorise the formulas. Continue reading to know all the important details on the CBSE syllabus for Class 9 Maths.

The Class 9 exam is a non-board level exam. It is conducted by respective schools internally. Before we provide you with the detailed CBSE syllabus for Class 9 Maths, let us have an overview of the exam:

Particulars | Details |
---|---|

Class | CBSE Class 9 |

Exam Board | Central Board of Secondary Education |

Subject | Maths |

Category | CBSE Syllabus Maths |

Language | English |

Official Website | cbse.gov.in |

To score good marks, students must finish all of the Math problems in the textbook and go over the CBSE Class 9 Math curriculum. Therefore, beginning with the academic year 2022–2023, students must be familiar with the CBSE syllabus for Class 9 Maths. Click the PDF link to download the CBSE Class 9 Maths syllabus. This is the official curriculum that has been released by CBSE:

Knowing the marking scheme for CBSE Class 9 Maths will help students know how to prioritise the chapters. Students should practice questions on all chapters and not skip any chapter even if it holds the least marks. Check the table below to have an idea about the CBSE Class 9 Maths marks weightage for 2022-23:

Units | Unit Name | Marks |
---|---|---|

I | Number System | 10 |

II | Algebra | 20 |

III | Coordinate Geometry | 04 |

IV | Geometry | 27 |

V | Mensuration | 13 |

VI | Statistics & Probability | 06 |

– | Total | 80 |

– | Internal Assessment | 20 |

– | Grand Total | 100 |

**Unit I: Number Systems**

**1. Real Numbers (18 Periods)**

- Review of representation of natural numbers, integers, and rational numbers on the number line. Rational numbers as recurring/ terminating decimals. Operations on real numbers.
- Examples of non-recurring/non-terminating decimals. Existence of non-rational numbers (irrational numbers) such as √2, √3 and their representation on the number line. Explaining that every real number is represented by a unique point on the number line and, conversely, viz., every point on the number line represents a unique real number.
- Definition of nth root of a real number.
- Rationalisation (with precise meaning) of real numbers of the type (and their combinations) where x and y are natural numbers and a and b are integers.
- Recall of laws of exponents with integral powers. Rational exponents with positive real bases (to be done by particular cases, allowing the learner to arrive at the general laws.)

**Unit II: Algebra**

**1. Polynomials (26 Periods)**

- Definition of a polynomial in one variable, with examples and counter examples. Coefficients of a polynomial, terms of a polynomial and zero polynomial. Degree of a polynomial. Constant, linear, quadratic and cubic polynomials. Monomials, binomials, trinomials. Factors and multiples. Zeros of a polynomial. Motivate and State the Remainder Theorem with examples. Statement and proof of the Factor Theorem. Factorization of ax2 + bx + c, a ≠ 0 where a, b and c are real numbers, and of cubic polynomials using the Factor Theorem. Recall algebraic expressions and identities. Verification of identities:

**2. Linear Equations in Two Variables (16 Periods)**

- Recall linear equations in one variable. Introduction to the equation in two variables. Focus on linear equations of the type ax + by + c=0. Explain that a linear equation in two variables has infinitely many solutions and justify their being written as ordered pairs of real numbers, plotting them and showing that they lie on a line.

**Unit III: Coordinate Geometry Coordinate Geometry (7 Periods)**

The Cartesian plane, coordinates of a point, names and terms associated with the coordinate plane, notations.

**Unit IV: Geometry**

**1. Introduction to Euclid’s Geometry (7 Periods)**

History – Geometry in India and Euclid’s geometry. Euclid’s method of formalizing observed phenomena into rigorous Mathematics with definitions, common/obvious notions, axioms/postulates and theorems. The five postulates of Euclid. Showing the relationship between axiom and theorem, for example: (Axiom)

- Given two distinct points, there exists one and only one line through them. (Theorem)
- (Prove) Two distinct lines cannot have more than one point in common.

**2. Lines And Angles (15 Periods)**

- (Motivate) If a ray stands on a line, then the sum of the two adjacent angles so formed is 180O and the converse.
- (Prove) If two lines intersect, vertically opposite angles are equal.
- (Motivate) Lines which are parallel to a given line are parallel.

**3. Triangles (22 Periods)**

- (Motivate) Two triangles are congruent if any two sides and the included angle of one triangle is equal to any two sides and the included angle of the other triangle (SAS Congruence).
- (Prove) Two triangles are congruent if any two angles and the included side of one triangle is equal to any two angles and the included side of the other triangle (ASA Congruence).
- (Motivate) Two triangles are congruent if the three sides of one triangle are equal to three sides of the other triangle (SSS Congruence).
- (Motivate) Two right triangles are congruent if the hypotenuse and a side of one triangle are equal (respectively) to the hypotenuse and a side of the other triangle. (RHS Congruence)
- (Prove) The angles opposite to equal sides of a triangle are equal.
- (Motivate) The sides opposite to equal angles of a triangle are equal.

**4. Quadrilaterals (13 Periods)**

- (Prove) The diagonal divides a parallelogram into two congruent triangles.
- (Motivate) In a parallelogram, opposite sides are equal and conversely.
- (Motivate) In a parallelogram, opposite angles are equal and conversely.
- (Motivate) A quadrilateral is a parallelogram if a pair of opposite sides are parallel and equal.
- (Motivate) In a parallelogram, the diagonals bisect each other and conversely.
- (Motivate) In a triangle, the line segment joining the mid points of any two sides is parallel to the third side and in half of it and (motivate) its converse.

**5. Circles (17 Periods)**

- (Prove) Equal chords of a circle subtend equal angles at the centre and (motivate) its converse.
- (Motivate) The perpendicular from the centre of a circle to a chord bisects the chord, and conversely, the line is drawn through the centre of a circle to bisect a chord perpendicular to the chord.
- (Motivate) Equal chords of a circle (or of congruent circles) are equidistant from the centre (or their respective centres) and conversely.
- (Prove) The angle subtended by an arc at the centre is double the angle subtended by it at any point on the remaining part of the circle.
- (Motivate) Angles in the same segment of a circle are equal.
- (Motivate) If a line segment joining two points subtends an equal angle at two other points lying on the same side of the line containing the segment, the four points lie on a circle.
- (Motivate) The sum of either of the pair of the opposite angles of a cyclic quadrilateral is 180° and its converse.

**Unit V: Mensuration **

**1. Areas (5 Periods)**

- Area of a triangle using Heron’s formula (without proof)

**2. Surface Areas and Volumes (17 Periods)**

- Surface areas and volumes of spheres (including hemispheres) and right circular cones.

**Unit VI: Statistics & Probability**

**Statistics (15 Periods)**

- Bar graphs, histograms (with varying base lengths), and frequency polygons.

Students can follow the below-mentioned chapter-wise tips and tricks to prepare better for their annual Maths exam:

- Keep all the important theorems and formulas on the tip of your fingers. Prepare a small notebook that contains all essential equations and formulas and revise them diligently before exams.
- Finish the NCERT books for Class 9 Maths and then opt for reference books.
- Solve all the in-text problems and refer to the NCERT solutions for Class 9 Maths to understand a step-by-step approach to every question.
- Try to finish the syllabus portions with higher weightage and then move on to the units with fewer marks.
- Solve CBSE Class 9 Maths sample questions and previous year’s question papers to boost exam confidence. Make sure you give these exams in a single sitting of three hours.
- Take as many CBSE Class 9 Maths mock tests as possible, on the Embibe app. The tests are free and students receive detailed feedback on submitting a test, which can help them improve their performance.

Take note of the below chapter-wise preparation tips to prepare better for the Maths exams:

**Polynomials:**Try to understand all the polynomials definitions along with their coefficients and degrees.**Quadrilaterals:**Try to focus on all the types of quadrilaterals and their properties.**Circles:**Learn all the important properties and theorems associated with circles. Practice the required diagrams.**Constructions:**Practice various triangles and angles to score good marks in this section.**Surface Areas and Volumes:**Try to practice various numericals to calculate the area and volume of cubes, cuboids, spheres and cylinders.**Statistics:**This chapter discusses data collection and representation through graphs and tables. You must learn and practice calculating mean, median, and mode.

Below are some of the most frequently asked questions on the CBSE Syllabus for Class 9 Maths:

**Ans: **To score well in the CBSE Class 9 final exam, you should prepare from the NCERT textbooks because they teach basic concepts in simple language. It will be easy for you to understand the chapters well from the NCERT books.

**Ans: **All CBSE Class 9 students are advised to download the latest Maths syllabus for 2022-23 from this page.

**Ans: **There are 15 chapters in CBSE Class 9 Maths.

**Ans: **The syllabus for 2022-23 for CBSE Class 9 subjects has been reduced by 30 per cent.

**Ans: **Students can attempt mock tests for CBSE Class 9 Maths on the Embibe app.

We hope this article on the CBSE syllabus for Class 9 Maths is useful to you. Stay tuned to Embibe for latest updates on CBSE Class 9 exam.