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OFFICIAL SYLLABUS
MATHEMATICS (THEORY)
UNIT I: NUMBER SYSTEMS
REAL NUMBERS
Review of representation of natural numbers, integers, rational numbers on the number line. Rational numbers as recurring/terminating decimals.
Examples of nonrecurring/nonterminating decimals
Definition of nth root of a real number.
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.)
Rationalization (with precise meaning) of real numbers of the type (& their combinations)
UNIT II: ALGEBRA
POLYNOMIALS
Definition of a polynomial in one variable, its coefficients, with examples and counterexamples, its terms, zero polynomial. Degree of a polynomial. Constant, linear, quadratic, cubic polynomials; monomials, binomials, trinomials. Factors and multiples. Zeros/roots of a polynomial/equation.
The analogy to integers, Factorization
Recall of algebraic expressions and identities.
LINEAR EQUATIONS IN TWO VARIABLES
Recall linear equations in one variable. Introduction to the equation in two variables. Prove 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 seem to lie on a line. Examples, problems from real life, and with algebraic and graphical solutions being done simultaneously.
UNIT III: COORDINATE GEOMETRY
COORDINATE GEOMETRY
The Cartesian plane, coordinates of a point, names and terms associated with the coordinate plane, notations, plotting points in the plane, the graph of linear equations as examples; focus on linear equations of the type ax + by + c = 0 by writing it as y = mx + c and linking with the chapter on linear equations in two variables.
UNIT IV: GEOMETRY
LINES AND ANGLES
1. (Motivate) If a ray stands on a line, then the sum of the two adjacent angles so formed is 1800 and the converse.
2. (Prove) If two lines intersect, the vertically opposite angles are equal.
3. (Motivate) Results on corresponding angles, alternate angles, interior angles when a transversal intersects two parallel lines.
4. (Motivate) Lines, which are parallel to a given line, are parallel.
5. (Prove) The sum of the angles of a triangle is 180 0.
6. (Motivate) If a side of a triangle is produced, the exterior angle so formed is equal to the sum of the two interiors' opposite angles.
TRIANGLES
1. (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)
2. (Motivate) Two triangles are congruent if the three sides of one triangle are equal to three sides of the other triangle (SSS Congruence).
3. (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.
4. (Prove) The angles opposite to equal sides of a triangle are equal.
5. (Motivate) The sides opposite to equal angles of a triangle are equal.
QUADRILATERALS
1. (Prove) The diagonal divides a parallelogram into two congruent triangles.
2. (Motivate) In a parallelogram opposite sides are equal, and conversely.
3. (Motivate) In a parallelogram opposite angles are equal, and conversely.
4. (Motivate) A quadrilateral is a parallelogram if a pair of its opposite sides are parallel and equal.
5. (Motivate) In a parallelogram, the diagonals bisect each other and conversely.
6. (Motivate) In a triangle, the line segment joining the midpoints of any two sides is parallel to the third side and (motivate) its converse.
CIRCLES
Through examples, arrive at definitions of circle-related concepts, radius, circumference, diameter, chord, arc, subtended angle.
CONSTRUCTIONS
Construction of a triangle of given perimeter and base angles.
UNIT V: MENSURATION
SURFACE AREAS AND VOLUMES
Surface areas and volumes of cubes, cuboids, spheres (including hemispheres), and right circular cylinders/ cones.
UNIT VI: STATISTICS AND PROBABILITY
STATISTICS
Introduction to Statistics: Collection of data, presentation of data — tabular form, ungrouped / grouped, bar graphs, qualitative analysis of data to choose the correct form of presentation for the collected data.
PROBABILITY
History, Repeated experiments, and observed frequency approach to probability. The focus is on empirical probability. (A large amount of time to be devoted to group and to individual activities to motivate the concept; the experiments to be drawn from real-life situations, and from examples used in the chapter on statistics).
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Paper Format
Paper Type - Theory + Internal Assessment
Paper Marks - Theory (80 Marks) + Internal Assessment (20 Marks)
Maximum Total marks - 80 + 20 = 100 Marks
Time duration - 3 hours (Only For Theory Exam)
Unit & their Weightage
S.No | Unit | Marks |
1. | Number Systems | 06 |
2. | Algebra | 20 |
3. | Coordinate Geometry | 06 |
4. | Geometry | 22 |
5. | Mensuration | 14 |
6. | Statistics and Probability | 12 |
Total Marks | 80 Marks |
Internal Assessment - 20 Marks | ||
1. | Evaluation of Activities | 10 Marks |
2. | Project Work | 05 Marks |
3. | Continuous Evaluation | 05 Marks |
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Conditions of eligibility for admission to class IX.
1. Candidates who have been studying in a School recognised by or affiliated to this Board or any other recognised Board of Secondary Education in India.
2. Candidates can not take admission directly in class IX.
3. Candidates had completed a regular course of study for class VIII and passed class VIII examination from a school affilicated to this Board.
4. The candidates percentage for attendance should be 75% so that the Board to make him/her eligible for the Examinations.
5. Candidate can be admitted to a school only on the transfer of the parents(s) or shifting of their families from one place to another, after procuring from the student the marksheet and the Transfer Certificate duly countersigned by the Educational Authorities of the Board concerned.
6. There is no age limit for candidates taking the Examination.
7. Candidate should have doucments in support of his having passed the qualifying or equivalent qualifying examination.
TIME TABLE 2023
Date & Day | Date & Day | Time Duration |
Tuesday 28 March 2023 | Mathematics | 10:00 AM to 01:00 PM (3 Hrs.) |
Date & Day | Subject | Time Duration |
Friday 17 March 2023 | Hindi | 10:00 AM to 01:00 PM (3 Hrs.) |
Saturday 18 March 2023 | Urdu, Punjabi, Bengali | 10:00 AM to 01:00 PM (3 Hrs.) |
Tuesday 21 March 2023 | Science | 10:00 AM to 01:00 PM (3 Hrs.) |
Friday 24 March 2023 | English | 10:00 AM to 01:00 PM (3 Hrs.) |
Saturday 25 March 2023 | Indian Music (Vocal) Indian Music (Instrumental) | 10:00 AM to 12:00 PM (2 Hrs.) |
Ranjan Kala | 10:00 AM to 01:00 PM (3 Hrs.) | |
Tuesday 28 March 2023 | Mathematics | 10:00 AM to 01:00 PM (3 Hrs.) |
Wednesday 29 March 2023 | Home Science | 10:00 AM to 01:00 PM (3 Hrs.) |
Saturday 1 April 2023 | Social Science | 10:00 AM to 01:00 PM (3 Hrs.) |
Monday 3 April 2023 | ITES, Automatic Retail, Tourism & Hospitality, Beauty & Wellness, Agriculture, Electronic & Hardware, Multiskilling, Plumber | 10:00 AM to 12:00 PM (2 Hrs.) |
Business Element, Accountancy, Agriculture | 10:00 AM to 01:00 PM (3 Hrs.) | |
Wednesday 5 April 2023 | Sanskrit | 10:00 AM to 01:00 PM (3 Hrs.) |
Thursday 6 April 2023 | Typing English or Hindi, Indian Music (Melodic Instrumental) | 10:00 AM to 12:00 PM (2 Hrs.) |
Information Technology | 10:00 AM to 01:00 PM (3 Hrs.) |
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Paper Analysis 2020
1. There will be four Sections in this Paper. Objective, Very Short, Short, Long .
2. The total no. of questions will be 30.
3. Question no. 1 to 10 are objctive type questions. Each questions carries 1 marks.
4. Internal options are given in 2 questions of 2 marks, 3 questions of 3 marks and 3 questions of 6 marks.
5. Questions no. 11 to 15 carry 2 marks each.
6. Questions no. 16 to 25 carry 3 marks each.
7. Questions no. 26 to 30 carry 6 marks each.
8. Draw neat graf & table wherever required.
And
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, three 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.
Comment
1. The difficulty level of the Mathematics paper 2020: Moderate to difficult
2. The pattern of the Mathematics paper was similar to the latest Mathematics Sample Paper
3. All the questions in the paper were asked from the latest syllabus and based on NCERT textbooks
4. The average range of expected marks was 70+ (out of 80)
1. The total no. of questions will be 30.
2. Question no. 1 to 10 are objctive type questions. Each questions carries 1 marks.
3. Internal options are given in 2 questions of 2 marks, 3 questions of 3 marks and 3 questions of 6 marks.
4. Questions no. 11 to 15 carry 2 marks each.
5. Questions no. 16 to 25 carry 3 marks each.
6. Questions no. 26 to 30 carry 6 marks each.
7. Draw neat graf & table wherever required.
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