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OFFICIAL SYLLABUS
Mathematics (theory)
UNIT I : NUMBER SYSTEMS
1. Real Number
Euclids division lemma ,Fundamental theorm of Arithmetic -statement after reviewing work done earlier and after illustrating and motivating through examples, Proofs of results, decimal expansions of rational numbers in terms of terminating/nonterminating recurring decimals.
UNIT II : ALGEBRA
1. POLYNOMIALS
Zeros of a polynomial ,relationship between zeros and cofficient of a polynomial with particular reference to 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 equation in two variable ,Geometric representation of different possibilities of solutions/inconsistency. Algebraic conditions for number of solutions. Solution of pair of linear equations in two variables algebraically- by substitution, by elimination and by cross multiplication. Simple situational problems must be included. Simple problems on equations reducible to linear equations may be included.
3. QUDRATIC EQUATION
Standered form of solution of the the quadratic equations(only real roots) by factorization and by completing the square, i.e. by using quadratic formula. Relationship between discriminant and nature of roots. Problems related to day to day activities to be incorporated.
4. ARITHMATIC PROGREETION
Motivation for studying AP derivation of standerd result of finding the nth term of sum first in terms.
UNIT III : TRIGONOMETRY
Trignometric ratio of an actuates angle of a right angle tringle .proof there exsistance (well defined); motivate the ratios, whichever are defined at 0o & 90o Values (with proofs) of thetrigonometric ratios of 30o, 45o & 60o. Relationships between the ratios.
2.TEIGNOMETRIC IDENTITIES
Proof the application of the identity sin2 A+cos2A=1.only simple identity to be given .Trigonometric ratios of complementary angles.
3. HEIGHTS AND DISTANCES
Simple and believable problems on heights and distances. Problems should not involve more than two right triangles. Angles of elevation / depression should be only 30o, 45o & 60o.
UNIT IV : COORDINATE GEOMETRY
LINES (In two-dimensions)
Review the concepts of coordinate geometry done earlier including graphs of linear equationsAwareness of geometrical representation of quadratic polynomials. Distance between two
points and section formula(internal). Area of a triangle.
UNIT V : GEOMETRY
1. 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.
6. (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.
7. (Prove) The ratio of the areas of two similar triangles is equal to the ratio of the squares on their corresponding sides.
8. (Prove) In a right triangle, the square on the hypotenuse is equal to the sum of the squares on the other two sides.
9. (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 traingle.
2. CIRCLES - Tangents to a circle motivated by chords drawn from points coming closer and closer to the point.
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 circle are equal.
3. CONSTRUCTIONS
1. Division of a line segment in a given ratio (internally)
2. Tangent to a circle from a point outside it.
3. Construction of a triangle similar to a given triangle.
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 areaand perimeter / circumference of the above said plane figures. (In calculating area of segmentof a circle, problems should be restricted to central angle of 60o, 90o & 120o only. Plane figures involving triangles, simple quadrilaterals and circle should be taken.)
2. SURFACE AREAS AND VOLUMES
(i) Problems on finding surface areas and volumes of combinations of any two of thefollowing: cubes, cuboids, spheres, hemispheres and right circular cylinders/cones. Frustum of a cone.
(ii) 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 defination of probability ,connection with probability as given in class 10 .simple problems on single event ,not usin set notation
INTERNAL ASSESMENT
Evalution of activities
project wo
...OFFICIAL SYLLABUS
Mathematics (theory)
UNIT I : NUMBER SYSTEMS
1. Real Number
Euclids division lemma ,Fundamental theorm of Arithmetic -statement after reviewing work done earlier and after illustrating and motivating through examples, Proofs of results, decimal expansions of rational numbers in terms of terminating/nonterminating recurring decimals.
UNIT II : ALGEBRA
1. POLYNOMIALS
Zeros of a polynomial ,relationship between zeros and cofficient of a polynomial with particular reference to 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 equation in two variable ,Geometric representation of different possibilities of solutions/inconsistency. Algebraic conditions for number of solutions. Solution of pair of linear equations in two variables algebraically- by substitution, by elimination and by cross multiplication. Simple situational problems must be included. Simple problems on equations reducible to linear equations may be included.
3. QUDRATIC EQUATION
Standered form of solution of the the quadratic equations(only real roots) by factorization and by completing the square, i.e. by using quadratic formula. Relationship between discriminant and nature of roots. Problems related to day to day activities to be incorporated.
4. ARITHMATIC PROGREETION
Motivation for studying AP derivation of standerd result of finding the nth term of sum first in terms.
UNIT III : TRIGONOMETRY
Trignometric ratio of an actuates angle of a right angle tringle .proof there exsistance (well defined); motivate the ratios, whichever are defined at 0o & 90o Values (with proofs) of thetrigonometric ratios of 30o, 45o & 60o. Relationships between the ratios.
2.TEIGNOMETRIC IDENTITIES
Proof the application of the identity sin2 A+cos2A=1.only simple identity to be given .Trigonometric ratios of complementary angles.
3. HEIGHTS AND DISTANCES
Simple and believable problems on heights and distances. Problems should not involve more than two right triangles. Angles of elevation / depression should be only 30o, 45o & 60o.
UNIT IV : COORDINATE GEOMETRY
LINES (In two-dimensions)
Review the concepts of coordinate geometry done earlier including graphs of linear equationsAwareness of geometrical representation of quadratic polynomials. Distance between two
points and section formula(internal). Area of a triangle.
UNIT V : GEOMETRY
1. 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.
6. (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.
7. (Prove) The ratio of the areas of two similar triangles is equal to the ratio of the squares on their corresponding sides.
8. (Prove) In a right triangle, the square on the hypotenuse is equal to the sum of the squares on the other two sides.
9. (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 traingle.
2. CIRCLES - Tangents to a circle motivated by chords drawn from points coming closer and closer to the point.
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 circle are equal.
3. CONSTRUCTIONS
1. Division of a line segment in a given ratio (internally)
2. Tangent to a circle from a point outside it.
3. Construction of a triangle similar to a given triangle.
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 areaand perimeter / circumference of the above said plane figures. (In calculating area of segmentof a circle, problems should be restricted to central angle of 60o, 90o & 120o only. Plane figures involving triangles, simple quadrilaterals and circle should be taken.)
2. SURFACE AREAS AND VOLUMES
(i) Problems on finding surface areas and volumes of combinations of any two of thefollowing: cubes, cuboids, spheres, hemispheres and right circular cylinders/cones. Frustum of a cone.
(ii) 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 defination of probability ,connection with probability as given in class 10 .simple problems on single event ,not usin set notation
INTERNAL ASSESMENT
Evalution of activities
project work
Countinuous Evalution
For more Details Click here
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 | 04 |
2. | Algebra | 20 |
3. | Trigonometry | 12 |
4. | Coordinate Geometry | 08 |
5. | Geometry | 16 |
6. | Mensuration | 10 |
7. | Statistics and Probability | 10 |
Total Marks | 80 Marks |
Internal Assessment - 20 Marks | ||
1. | Evaluation of Activities | 10 Marks |
2. | Project Work | 05 Marks |
3. | Continuous Evaluation | 05 Marks |
For More Information:- Click Here
Conditions of eligibility for admission to class X.
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 X.
3. Candidates had completed a regular course of study for class IX and passed class IX 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 counter signed 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.) |
For More Information:- Click Here
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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