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OFFICIAL SYLLABUS - 2022
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.
2. 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.
3. 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.
4. QUADRATIC EQUATIONS
Standard form of a quadratic equationa x2 + 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.
5. 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.
6. 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.
7. COORDINATE GEOMETRY
LINES - (In two-dimensions)Review: Concepts of coordinate geometry, graphs of linear equations. Distance formula. Section formula (internal division). Area of a triangle.
8. 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.
9. TRIGONOMETRIC IDENTITIES
Proof and applications of the identity sin2A + cos2A = 1. Only simple identities to be given. Trigonometric ratios of complementary angles.
10. 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.
11. 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.
12. 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.)
13. 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).
14. STATISTICS
Mean, median and mode of grouped data (bimodal situation to be avoided). Cumulative frequency graph.
15. PROBABILITY
Classical definition of probability. Simple problems on finding the probability of an event.
There will be One Paper in this Subject.
Time Duration : 3 Hrs.
Maximum Marks : Theory - 80, INA - 20 = 100 Marks
Units & their Weightage
S.NO | CHAPTER | TOTAL MARKS | 1 Marks | 2 Marks | 4 Marks | 6 Marks |
1 | REAL NUMBER | 3 | 1 | 1 | - | - |
2 | POLYNOMIALS | 4 | 2 | 1 | - | - |
3 | PAIR OF LINEAR EQUATIONS IN TWO VARIABLES | 6 | 4 | 1 | - | - |
4 | QUADRATIC EQUATIONS | 6 | 2 | - | 1 | - |
5 | ARITHMETIC PROGRESSIONS | 6 | 2 | - | 1 | - |
6 | TRIANGLES, CIRCLES | 12 | 4 | 1 | - | 1 |
7 | COORDINATE GEOMETRY | 5 | 3 | 1 | - | - |
8 | INTRODUCTION TO TRIGONOMETRY | 6 | 4 | 1 | - | - |
9 | TRIGONOMETRIC IDENTITIES | 4 | - | - | 1 | - |
10 | CONSTRUCTIONS | 4 | - | - | 1 | - |
11 | AREAS RELATED TO CIRCLES | 4 | 2 | 1 |
There will be One Paper in this Subject.
Time Duration : 3 Hrs.
Maximum Marks : Theory - 80, INA - 20 = 100 Marks
Units & their Weightage
S.NO | CHAPTER | TOTAL MARKS | 1 Marks | 2 Marks | 4 Marks | 6 Marks |
1 | REAL NUMBER | 3 | 1 | 1 | - | - |
2 | POLYNOMIALS | 4 | 2 | 1 | - | - |
3 | PAIR OF LINEAR EQUATIONS IN TWO VARIABLES | 6 | 4 | 1 | - | - |
4 | QUADRATIC EQUATIONS | 6 | 2 | - | 1 | - |
5 | ARITHMETIC PROGRESSIONS | 6 | 2 | - | 1 | - |
6 | TRIANGLES, CIRCLES | 12 | 4 | 1 | - | 1 |
7 | COORDINATE GEOMETRY | 5 | 3 | 1 | - | - |
8 | INTRODUCTION TO TRIGONOMETRY | 6 | 4 | 1 | - | - |
9 | TRIGONOMETRIC IDENTITIES | 4 | - | - | 1 | - |
10 | CONSTRUCTIONS | 4 | - | - | 1 | - |
11 | AREAS RELATED TO CIRCLES | 4 | 2 | 1 | - | - |
12 | SURFACE AREAS AND VOLUMES | 7 | 3 | - | 1 | - |
13 | STATISTICS | 8 | 2 | - | - | 1 |
14 | PROBABILITY | 5 | 3 | 1 | - | - |
TOTAL | 80 | 32 | 8 | 5 | 2 |
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 Time Table - 2022
Mathematics Paper dated 16 th May, 2022 (Monday) from 10:00 AM.
Date & Day | Subject & Code | Timing |
29, April 2022 (Friday) | Punjabi - A (01), Punjab History & Culture - A (07) | 10 Am |
30, April 2022 (Saturday) | Vadan Instrumental (31) | 10 Am |
02, May 2022 (Monday) | English (02) | 10 Am |
04, May 2022 (Wednesday) | Science (05) | 10 Am |
05, May 2022 (Thursday) | Sangeet Tabla (32) | 10 Am |
06, May 2022 (Friday) | Punjabi - B (72), Punjab History & Culture - A (73) | 10 Am |
07, May 2022 (Saturday) | Mechanical Drawing & Chitrakala (28), Cutting & Tailoring (29), Agriculture (35), Health Science (70), Regional Language, Vocational | 10 Am |
09, May 2022 (Monday) | Social Science (06) | 10 Am |
10, May 2022 (Tuesday) | Sangeet Gayan (30) | 10 Am |
11, May 2022 (Wednesday) | Computer Science (63) | 10 Am |
12, May 2022 (Thursday) | Home Science (33) | 10 Am |
13, May 2022 (Friday) | Welcome Life (92) | 10 Am |
16, May 2022 (Monday) | Mathematics | 10 Am |
17, May 2022 (Tuesday) | NSQF (All Subject) | 10 Am |
18, May 2022 (Wednesday) | Hindi (03) / Urdu (71) | 10 Am |
19, May 2022 (Thursday) | Physical Education | 10 Am |
ANALYSIS MATHEMATICS - 2019 (CODE - 04/A)
1. There are total 28 questions in this part.
2. This question paper is divided into four sections: Section A, Section B, Sectiom C and Section D.
3. All sections are compulsory. Solve all the parts of a question together.
4. There are total 8 questions in Section A. Question 1 to 8 carry 1 marks for each question.
5. There are total 8 questions in Section B. Question 9 to 16 carries 2 marks for each question.
6. There are total 8 questions in Section C. Question 17 to 24 carries 4 marks for each question.
7. There are total 4 questions in Section D. Question 25 to 28 carries 6 marks for each question.
AND
Internal Choice is given in Question no. 19, 20, 21, 25, 26, 27, 28.
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 28 questions in this part.
2. This question paper is divided into four sections: Section A, Section B, Sectiom C and Section D.
3. All sections are compulsory. Solve all the parts of a question together.
4. There are total 8 questions in Section A. Question 1 to 8 carry 1 marks for each question.
5. There are total 8 questions in Section B. Question 9 to 16 carries 2 marks for each question.
6. There are total 8 questions in Section C. Question 17 to 24 carries 4 marks for each question.
7. There are total 4 questions in Section D. Question 25 to 28 carries 6 marks for each question.
8. Internal Choice is given in Question no. 19, 20, 21, 25, 26, 27, 28.
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