Syllabus for the Mathematics subject of Class 10th, PDF file, The state board of School Education Jammu and Kashmir Syllabus:
Download the PDF file of 10th Math course by JKBose
JKBose 10th Maths Subject and Marks
Statistics and Probability
Unit wise Marks for Mathematics subject of JKBose class 10th
Unit 1: NUMBER SYSTEMS
Real Numbers 05 Marks
Euclid’s division lemma, Fundamental Theorem of Arithmetic statements after reviewing work done earlier and after illustrating and motivating through examples. Proofs of results-irrationality of, decimal expansions of rational numbers in terms of terminating / non terminating recurring decimals.
UNIT 2: ALGEBRA
Zeros of a Polynomial. Relationship between zeros and Coefficients of a Polynomial with particular reference to quadratic polynomials. Statement and simple problems on division algorithm for polynomials with real coefficients.
Pair of Linear Equations in Two variables07 Marks
Pair of Linear equations in two variables. Geometric representations of different possibilities of solutions/ inconsistency. Algebraic conditions for a number of solutions. Solutions 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
Quadratic Equations10 Marks
Standard form of a quadratic equations ax2 + bx + c = 0 ( a # 0 ). Solutions of quadratic equations ( only real roots ) by factorization and by completing the square i.e. by using the quadratic formula. Relationship between discriminant and nature of roots. Problems related to day to day activities to be incorporated.
Arithmetic Progressions(AP)07 Marks
Motivation for studying AP. Derivation of standard results of finding the nth term and sum of first n terms.
UNIT 3: TRIGONOMETRY
Introduction to Trigonometry07 Marks
Trigonometric ratios of an acute angle of a right-angled triangle. Proof of their existence ( well defined); motivate the ratios, whichever are defined at 0degree and 90. Value ( with proofs ) of the trigonometric ratios of 30degree, 45, and 60. Relationships between the ratios.
Trigonometric Identities: Proof and applications of the identity sin 2 A + cos2 A + 1. Only simple identities to be given. Trigonometric ratios of complementary angles.
Heights and Distances07 Marks
Simple and believable problems on heights and distances. Problems should not Involve more than two right triangles. Angles of elevation/ depression should be only 30, 45, 60 degree.
UNIT 4: COORDINATE GEOMETRY
Lines ( in two- dimensions) 08 Marks
Review the concepts of coordinate geometry done earlier including graphs of linear equations. Awareness of geometrical representations of quadratic polynomials. Distance between two points and section formula ( internal ). Area of a triangle.
UNIT 5: GEOMETRY
Triangles 09 Marks
Definitions, examples, counterexamples 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.
JKBose Class 10th Maths Geometry Syllabus
( 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 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 on 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 the sum of the squares on the other two sides, the angles opposite to the side is a right triangle.
Tangents to a circle motivated by chords drawn from points coming closer and closer to the point.
( 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.
Division of a line segment in a given ratio ( Internally )
Tangent to a circle from a point outside it.
Construction of a triangle similar to a given triangle.
UNIT 6: MENSURATION
Areas Related to Circles04 Marks
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 the area of a segment of a circle, problems should be restricted to the central angle of 60, 90, and 120 degrees only. Plane figures involving triangles, simple quadrilateral, and circle should be taken).
Surface Areas and Volumes07 Marks
Problems on finding surface areas and volumes of combinations of any two of the following cubes, cuboids, spheres, hemispheres, and right circular cylinders/ cones. Frustum of 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 7: STATICS AND PROBABILITY
Mean, median, and mode of grouped data ( Bimodal situation to be avoided). Cumulative frequency graph.
Classical definition of Probability. Connection with probability as given in Class IX. Simple problems on single events, not using set notation.
Hello dear Jammu and Kashmir board of school education class 10th students, today we will share the JKBose 10th syllabus of English subject in this post.
Furthermore JKBose has recently updated the syllabus for 10th Class, we have gathered all that information in this post
so lets continue here😊
JKBOSE 10th English Syllabus in Details
Weightage of marks as shown against each:
One seen passage from the prescribed textbook will be given followed by blanks, asking antonyms/synonyms, phrases, and the meaning of difficult words. The total no. of objective type questions in this passage shall be eight each carrying ½ mark. 1/2 x 8 = 4 Marks, also
One unseen passage followed by five blanks to be filled in with correct answers each blank shall carry 1 Mark. 1 x 5 = 5 Marks.
Moreover, One question with internal choice shall be asked from the prose portion based on content, Theme/situation/style and shall carry five marks (150-200 words). 1 x 5 = 5 Marks.
One question from the prose portion with regard to literary devices such as (irony, humor, satire, imagery, simile, metaphor, etc). the question shall carry five marks(internal choice). 1x 5 = 5 Marks.
One question will be asked from the poetry portion carrying 06 Marks.
The poem shall be given followed by its summary with blanks to be filled in by the students. Each blank shall carry ½ mark. 1/2 x 6 = 3 Marks.
Also, Certain poetic expressions will be asked from poetry given and their meaning in the bubbles to be filled in the table appropriate places. 1/2 x 6 = 3 Marks.
One question will be asked from the poetry portion carrying five marks with the following details:
A stanza from a poem will be given asking students two questions of 2 marks. 2 x 2 = 4 Marks.
Meanwhile, Words from stanza asking for their meaning. 1/2 x 2 = 1 Marks.
Two stanzas or a part shall be given and the students shall be asked to identify poetic devices. each question shall carry 3 marks. 2 x 3 =6 Marks.
Additionally, A question shall be asked with regard to the understanding of a stanza or part of a poem or a poem (125-150) words. 1 x 4 = 4 Marks
Two questions shall be asked from short stories regarding theme/ climax/anticlimax/character/writing work/ literary devices etc. Each question shall carry 5 marks (150-200) words.
One question shall be asked from the play regarding the scene, situation, character, humor, irony, theme, climax, etc.
The question shall carry five marks and the student shall have to answer within 150 to 200 words. (Internal Choice) 5 Marks, Furthermore
Writing Skills (The writing skill shall also include the exercise at the end of the lessons in the textbook.
Note for notice board (the material shall be given and students shall have to take the information from the given material. The notice in no case shall exceed 50 words and the notice is to be put ina notice box. 4 Marks, Furthermore
Elaboration of notes from the given information/ note-making from the passage/fill in the blanks from the given notes/ information. 4 Marks, also
Letter writing of 150 words from the information provided in the question paper. 5 Marks
Also, Essay (controlled) with given information about the topic. 7 Marks
Editing / Proof Reading
Rearranging of Jumbled Sentences
Paragraph writing with blanks to be filled in with the following