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V. K. SaxenaPrincipal
Swami Mohan Dass Model School, Jalandhar
Shilpi Ahuja
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II. ALGEBRA (Contd.) 23
III. GEOMETRY (Contd.) 17
IV. TRIGONOMETRY (Contd.) 08
V. PROBABILITY 08
VI.
TOTAL 90
COORDINATE GEOMETRY 11
VII. MENSURATION 23
Standard form of a quadratic equation + + = 0, ( 0). Solutions of the quadratic equations (only real roots) by
factorization, by completing the square 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.
Motivation for studying Arithmetic Progression Derivation of the term and sum of first terms of A.P. and their application in
solving daily life problems.
Tangents to a circle at a 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.
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.
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°.
Classical definition of probability. Simple problems on single events (not using set notation).
Review: Concepts of coordinate geometry, graphs of linear equations. Distance between two points. Section formula (internal
division). Area of a triangle.
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Second Term Marks: 90
UNITS MARKS
UNIT II : ALGEBRA (Contd.)
3. QUADRATIC EQUATIONS (15) Periods
4. ARITHMETIC PROGRESSIONS (8) Periods
UNIT III :GEOMETRY (Contd.)
2. CIRCLES (8) Periods
3. CONSTRUCTIONS (8) Periods
UNIT IV : TRIGONOMETRY (Contd.)
3. HEIGHTSAND DISTANCES (8) Periods
UNITV : STATISTICS AND PROBABILITY
2. PROBABILITY (10) Periods
UNITVI : COORDINATE GEOMETRY
1. LINES (In two-dimensions) (14) Periods
MATHEMATICS (CLASS–X)
SYLLABUS
UNITVII :MENSURATION
1. AREAS RELATEDTO CIRCLES (12) Periods
2. SURFACEAREASANDVOLUMES (12) Periods
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.)
(i) 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 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.)
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To
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All chapters as per
Syllabus and Textbook
NCERT
Concepts, Formulae,
Tips and Tricks
provides a comprehensive
summary of the concept
Every chapter divided
into Sub-topics
Super Refresher
NCERT Exemplar Problems
with complete solution to
supplement the entire
NCERT support material
Important Questions from
examination point of view
to ensure passing marks
Value Based Questions
to apply mathematical concepts
to real life situations with stress on
social values
NCERT
with detailed solution
Textbook Exercises
Highlights essential
information which
must be remembered
Self Practice questions for
consolidation of each concept
Mathematics
3
of 90 marks each
Model Question Papers
Self Assessment with answers
at the end of each chapter
HOTS (Higher Order Thinking Skills)
Questions with answers
Additional Questions with
answers at the end of each chapter
1 Quadratic Equations
2 Arithmetic Progressions
3 Coordinate Geometry
4 Some Applications of Trigonometry
5 Circles
6
7 Areas Related to Circles
8 Surface Areas and Volumes
Appendix (1-2)
1–41
42–95
96–140
141–175
176–213
Constructions 214–238
239–286
287–341
9 Probability 342–378
379–391
Model Question Papers for Practice (1-3) 392–400
CONTENTS
MBD Super Refresher MathematicsClass-X Part-II CBSE /NCERT
Publisher : MBD GroupPublishers
ISBN : 9789385905469Author : V. K. Saxena, ShilpiAhuja
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