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OFFICIAL SYLLABUS 2022
UNIT | TOPICS | MARKS |
I | NUMBER SYSTEMS | 04 |
II | ALGEBRA | 18 |
III | GEOMETRY | 15 |
IV | COORDINATE GEOMETRY | 06 |
V | TRIGONOMETRY | 12 |
VI | MENSURATION | 10 |
VII | STATISTICS AND PROBABILITY | 15 |
UNIT I: NUMBER SYSTEMS
1. REAL NUMBER
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 root 2, 3 and 5 Decimal representation of rational numbers in terms of terminating/non-terminating recurring decimals.
UNIT II: ALGEBRA
1. POLYNOMIALS
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
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 EQUATIONSStandard form of a quadratic equationa x
a x 2 + bx + c = 0, (a not equal to 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 activities to be incorporated.
4. 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 GEOMETRY
1. LINES (In two-dimensions)
Review: Concepts of coordinate geometry, graphs of linear equations. Distance formula. Section formula (internal division). Area of a triangle.
UNIT IV: GEOMETRY
1. TRIANGLES
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
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.
...
OFFICIAL SYLLABUS 2022
UNIT | TOPICS | MARKS |
I | NUMBER SYSTEMS | 04 |
II | ALGEBRA | 18 |
III | GEOMETRY | 15 |
IV | COORDINATE GEOMETRY | 06 |
V | TRIGONOMETRY | 12 |
VI | MENSURATION | 10 |
VII | STATISTICS AND PROBABILITY | 15 |
UNIT I: NUMBER SYSTEMS
1. REAL NUMBER
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 root 2, 3 and 5 Decimal representation of rational numbers in terms of terminating/non-terminating recurring decimals.
UNIT II: ALGEBRA
1. POLYNOMIALS
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
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 EQUATIONSStandard form of a quadratic equationa x
a x 2 + bx + c = 0, (a not equal to 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 activities to be incorporated.
4. 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 GEOMETRY
1. LINES (In two-dimensions)
Review: Concepts of coordinate geometry, graphs of linear equations. Distance formula. Section formula (internal division). Area of a triangle.
UNIT IV: GEOMETRY
1. TRIANGLES
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
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
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
Trigonometric ratios of an acute angle of a right-angled triangle. Proof of their existence (well defined); motivate the ratios whichever are defined at 0oand 90º. Values of the trigonometric ratios of 30º, 45º and 60º. Relationships between the ratios.
2. TRIGONOMETRIC IDENTITIES
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.
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
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
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
Mean, median and mode of grouped data (bimodal situation to be avoided). Cumulative frequency graph.
2. PROBABILITY
Classical definition of probability. Simple problems on finding the probability of an event.
PRESCRIBED BOOKS:
Mathematics - NCERT's Book Published under Copyright
Note - For 2022 Exam, some of the Units/Chapters have been reduced from the syllabus.
To Know more - Click here
There will be one paper in this Subject
Time Duration: 3 :15 hrs
Maximum Marks: 80
Unit & their weightage
UNIT | TOPICS | MARKS |
I | NUMBER SYSTEMS | 04 |
II | ALGEBRA | 18 |
III | GEOMETRY | 15 |
IV | COORDINATE GEOMETRY | 06 |
V | TRIGONOMETRY | 12 |
VI | MENSURATION | 10 |
VII | STATISTICS AND PROBABILITY | 15 |
Eligibility conditions for admission to class X.
1. Candidates who are studying in a school recognized or affiliated by this Board or any other recognized Board of Secondary Education in India.
2. Candidates cannot directly take admission in class X.
3. The candidates had completed a regular course of study for class IX and passed class IX examination from a school affiliated to this board.
4. The percentage of the candidates to appear should be 75% so that the board can make him/her eligible for the examination.
5. A candidate can be admitted to the school only if there is a transfer of parents or transfer of their family from one place to another, after obtaining the mark sheet and transfer certificate from the student duly countersigned by the educational authorities of the Board. .
6. There is no age limit for the candidates appearing for the exam.
7. The candidate must have documents in support of passing the qualifying examination or equivalent qualifying examination.
OFFICIAL SCHEDULE 2022
Date & Day | Subject & Code | Timing |
31 March, 2022 (Thursday) | English (02) | 9:00 Am to 11:45 Am |
05 April, 2022 (Tuesday) | Science (07) | 9:00 Am to 11:45 Am |
12 April, 2022 (Tuesday) | Mathematics (09) | 9:00 Am to 11:45 Am |
18 April, 2022 (Monday) | Social Science (08) | 9:00 Am to 11:45 Am |
22 April, 2022 (Friday) | Third Language - Sanskrit (71), Urdu (72), Gujrati (73), Sindhi (74), Punjabi (75), Sanskratam Ist Paper (95/1) | 9:00 Am to 11:45 Am |
25 April, 2022 (Monday) | Hindi (01) | 9:00 Am to 11:45 Am |
26 April, 2022 (Tuesday) | Automotive (101), Beauty and Health (102), Health Care (103), Information Technology or Dedicated Services of Information Technology (104), Retail Sale (105), Turism and Hospitality (106), Self Defence (107), Costume Design Clothind and Home Decor (108), Electronivs and Hardware (109), Agriculture (110), Plumber (111), Telecom (112), Sanskratam II nd Paper (95/2) | 9:00 Am to 11:45 Am |
ANALYSIS - 2020 (CODE - S - 07)
1. There are total 13 questions in this part.
2. This question paper is divided into three sections: Section A, Section B and Section C.
3. All sections are compulsory. Solve all the parts of a question together.
4. There are total 5 questions in Section A. Question 1 to 5 carry 2 marks for each question.
5. There are total 5 questions in Section B. Question 6 to 10 carries 3 marks for each question.
6. There are total 3 questions in Section C. Question 11 to 13 carries 5 marks for each question.
7. In section C all 3 questions internal choice is given.
And
There is no overall choice. However, an internal choice has been provided In section C all 3 questions.
Comment
1. The difficulty level of the Mathematics paper : Moderate to difficult
2. 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. There are total 13 questions in this part.
2. This question paper is divided into three sections: Section A, Section B and Section C.
3. All sections are compulsory. Solve all the parts of a question together.
4. There are total 5 questions in Section A. Question 1 to 5 carry 2 marks for each question.
5. There are total 5 questions in Section B. Question 6 to 10 carries 3 marks for each question.
6. There are total 3 questions in Section C. Question 11 to 13 carries 5 marks for each question.
7. In section C all 3 questions internal choice is given.
The updated timetable extends the exam period until April 7, 2025, providing students with additional time for their preparations...
Posted On: 04 Feb, 2025 | |
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However, the complete timetable is yet to be released. Once the datesheet is made available, students can download it from the RBSE official website...
Posted On: 14 Jan, 2025 | |
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However, the complete timetable is yet to be released. Once the datesheet is made available, students can download it from the RBSE official website...
Posted On: 14 Jan, 2025 | |
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