Organisation : J & K Sainik School Manasbal
Entrance Exam : Jammu and Kashmir Sainik School Entrance Examination ( JKSSEE ) – 2024
Document Type : Syllabus
Website : https://www.jksainikschool.in/WS/Default.aspx
Syllabus For Jammu and Kashmir Sainik School Entrance Exam
Syllabus For Class XI :
SECTION A: MATHEMATICS
Total Question – 50
Max Marks – 100
Units | Unit Name| Marks
I NUMBER SYSTEMS 10
II ALGEBRA 20
III COORDINATE GEOMETRY 15
IV GEOMETRY 15
V TRIGONOMETRY 15
VI MENSURATION 15
VII STATISTICS & PROBABILITY 10
Total 100
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UNIT 1: NUMBER SYSTEMS
1. REAL NUMBER
Fundamental Theorem of Arithmetic – statements after reviewing work done earlier and after illustrating and motivating through examples, Proofs of irrationality of √2, √3, √5
UNIT 2: ALGEBRA
1. POLYNOMIALS
Zeros of a polynomial. Relationship between zeros and coefficients of quadratic polynomials.
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. Simple situational problems.
3. QUADRATIC EQUATIONS
Standard form of a quadratic equation ax2 + bx + c = 0, (a ≠ 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 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 3: COORDINATE GEOMETRY
1. Coordinate Geometry
Review: Concepts of coordinate geometry, graphs of linear equations.
Distance formula. Section formula (internal division).
UNIT 4: 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.
2. CIRCLES
Tangent to a circle at, point of contact
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 a circle are equal.
UNIT 5: 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 0° and 90°. Values of the trigonometric ratios of 30°, 45°, and 60°. Relationships between the ratios.
2. TRIGONOMETRIC IDENTITIES
Proof and applications of the identity sin2A + cos2A = 1. Only simple identities to be given.
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°, and 60°.
UNIT 6: MENSURATION
1. AREAS RELATED TO CIRCLES
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.
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.
UNIT 7: STATISTICS AND PROBABILITY
1. STATISTICS
Mean, median and mode of grouped data (bimodal situation to be avoided).
2. PROBABILITY
Classical definition of probability. Simple problems on finding the probability of an event.
SECTION B: INTELLIGENCE/ REASONING
Total Question – 35
Max Marks – 70
1. Pattern Completion
2. Figure Series Completion
3. Geometrical Figure Completion (Triangle, Square, Circle)
4. Mirror Imaging
5. Punched Hole Pattern (Folding/Unfolding)
6. Calendar, Time, and Clock
7. Embedded Figure
8. Coding-Decoding
9. Orientation/Direction
10. Space Visualization
SECTION C: GENERAL SCIENCE
Total Question – 30
Max Marks – 60
I. Chemical Substances-Nature and Behaviour 15 Marks
II. World of Living 15 Marks
III. Natural Phenomena 12 Marks
IV. Effects of Current 13 Marks
V. Natural Resources 05 Marks
SECTION D: ENGLISH
Total Question – 25
Max Marks – 50
Section A: Reading Skills
This section assesses students’ reading comprehension abilities through unseen passages. The passages can be discursive or case-based, incorporating visual inputs such as statistical data or charts.
Section B: Grammar
The grammar section evaluates students’ understanding of various grammatical concepts. The topics covered include tenses, modals, subjectverb concord, reported speech (commands, requests, statements, and questions), determiners, spelling, and syntax. Emphasis is given to accurate usage of spelling, punctuation, and grammar in context.
Scheme of Examination for JKSSEE
Mode of Examination: OMR answer sheets for admission to Classes of VI, IX and XI.
Type of Questions: Multiple Choice Questions Scheme of Examination is as follows:
For VI Standard :
Section| Topic | No. of Questions | Marks for each correct answer | Total marks
A Mathematics 45 2 90
B Intelligence/Reasoning 35 2 70
C English 20 2 40
D General Science 20 2 40
E Social Science/GK 15 2 30
Total 135 270
For IX Standard :
Section| Topic | No. of Questions | Marks for each correct answer | Total marks
A Mathematics 45 2 90
B Intelligence/Reasoning 35 2 70
C English 20 2 40
D General Science 20 2 40
E Social Science/GK 15 2 30
Total 135 270
For XI Standard :
Section| Topic | No. of Questions | Marks for each correct answer | Total marks
A Mathematics 50 2 100
B Intelligence/Reasoning 35 2 70
C General Science 30 2 60
D English 25 2 50
Total 140 280
Download JKSSEE Syllabus
Jammu and Kashmir Sainik School Entrance Examination ( JKSSEE ) – 2024 Syllabus Download here – http://www.syllabus.gen.in/uploads/pdf2024/3509-s.pdf