QUESTION BANK - KopyKitab · l Examination Paper 2016 (All sets of Delhi, Outside Delhi & Foreign)...
Transcript of QUESTION BANK - KopyKitab · l Examination Paper 2016 (All sets of Delhi, Outside Delhi & Foreign)...
TERM 2MAR 2017
EXAMS
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Summative & FormativeAssessment
CLASS 10
MATHEMATICS
Previous 5 Years’ Exam Questions
CBSE Continuous and Comprehensive Evaluation (CCE)
QUESTION BANKwith Complete Solutions
© Publisher
Oswaal Books
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1608
CONTENTS
l 5 - 9Syllabus
l Examination Paper 2016
(All sets of Delhi, Outside Delhi & Foreign) 10 - 24
l of Outside Delhi Set-II 2015 (Issued by CBSE) 25 - 40Topper Answers
( 3 )
Summative Assessment_______________
Unit II : Algebra (Contd.)1. Quadratic Equations 41 - 68
l Topic 1. Solution of Quadratic
Equations
l Topic 2. Discriminant and Nature
of Roots
2. Arithmetic Progressions 69 - 91th l Topic 1. To find n term of the
Arithmetic Progression
l Topic 2. Sum of an Arithmetic
Progression
Unit III : Geometry (Contd.)3. Circles 92 - 115
4. Constructions 116 - 132
l Topic 1. Division of a Line
Segment in a given Ratio
l Topic 2. Tangents to a Circle from
a point outside it
l Topic 3. Construction of a Triangle
similar to a given Triangle
Unit IV : Trigonometry
5. Heights and Distances 133 - 161
Unit V : Statistics and Probability
6. Probability 162 - 177
Unit VI : Co-ordinate Geometry
7. Lines (in two-dimensions) 178 - 205
l Topic 1. Distance between
two points and
section formula
l Topic 2. Area of Triangle
Unit VII : Mensuration8. Areas Related to Circles 206 - 228
9. Surface Areas and Volumes 229 - 262
l Topic 1. Surface areas
and volumes
l Topic 2. Problem involving
converting one type of
metallic solid into another
l Topic 3. Frustum
Formative ______________ Assessment
263 - 287
Note: For detailed study material
of Formative Assessment please
log on to www.cbse.nic.in
PREFACECBSE always believes in Global Trends of Educational Transformation. The CBSE curriculum
gets its lead from National Curriculum Framework – 2005 and Right to Free and Compulsory
Education Act – 2009. CBSE introduced CCE in the later half of 2009. CCE has been started to
improve the quality of Education and was meant to lessen the burden of studies on Students. CCE
stands for Continuous & Comprehensive Evaluation. The term 'Continuous' in CCE refers to
periodicity and regularity in assessment and the term 'Comprehensive' refers to overall assessment
of the learner, in both curricular & co curricular scheme of things.
These Oswaal CCE Question Banks for Classes IX & X have been written so as to supplement
the need of the students to prepare for these progressive assessments at school during the entire
year.
Oswaal CCE Question Bank has been divided into two sections: Summative Assessment (SA) &
Formative Assessment (FA). In the Summative section, chapters are arranged ‘TOPICWISE’ where
each topic is explained in detail and covers all typologies of Questions specified by CBSE, with well
labelled diagrams and high quality figures/diagrams for fast learning. Answers from CBSE
Marking scheme are highlighted in order to specify the correct method of answering questions for
attaining maximum marks.
Formative section of the book will assist the students to prepare for the frequent class room
based evaluation, both as an individual and as a group activity. The various formative techniques
include Quizzes, Chapter assignment, Work sheets, Projects, Seminar, Symposium, Action Plans,
etc. These activities have been elaborated by CBSE Board on www.cbse.nic.in. The students can
read through all these components while revising a chapter to be always prepared for the surprise
FA's in the class.
At last we would like to thank our authors, editors, reviewers and specially students who
regularly send us suggestions which helps in continuous improvement of this book and makes this
book stand in the category of “One of the Best”. Wish you all Happy Learning.
Why Topic Wise Question Banks Are A Better Choice than Previous Year’s Papers ?
Question Banks Previous Years’ Papers
1. Chapter-wise and Topic –wise presentation
in Question Banks facilitates systematic
study.
2. Question Banks can be referred to by the
students throughout the year as well as at
the completion of each chapter in school.
3. Question Banks, take into account any
changes in syllabus or layout and hence are
fully updated and aligned as per the latest
specifications by the Board.
1. Year Wise presentation restricts
methodical flow of learning.
2. These can be referred to only after the
completion of the full syllabus in school.
3. Previous Years' questions cannot be
changed and hence fail to be adept with
the latest Board specifications
–Publisher
( 4 )
SYLLABUS
(Code No. 041)
Mathematics Class - XFor Term II (October - March)
Course StructureSECOND TERM
( 5 )
UNIT II : ALGEBRA (Contd.)
3. QUADRATIC EQUATIONS (15) Periods2 Standard form of a quadratic equation ax + bx + c = 0, (a ¹ 0). Solution of the quadratic equations (only
real roots) by factorization, by completing the square and by using quadratic formula. Relationship
discriminant and nature of roots.
Situational problems based on quadratic equations related to day to day activities to be in coporates.
4. ARITHMETIC PROGRESSIONS (8) Periodsth Motivation for studying Arithmetic Progression Derivation of the n term and sum of first n terms of A.P
and their application in solving daily life problems.
UNIT III : GEOMETRY (Contd.)
2. CIRCLES (8) Periods
Tangents to a circle at a point.
(I) (Prove) The tangent at any point of a circle is perpendicular to the radius through the point of
contact.
(ii) (Prove) The lengths of tangents drawn from an external point to circle are equal.
3. CONSTRUCTIONS (8) Periods
(i) Division of a line segment in a given ratio (internally).
(ii) Tangent to a circle from a point outside it.
(iii) Construction of a triangle similar to a given triangle.
Time : 3 Hours Marks : 90
Units Marks
II ALGEBRA (Contd.) 23
III GEOMETRY (Contd.) 17
IV TRIGONOMETRY (Contd.) 08
V PROBABILITY 08
VI CO-ORDINATE GEOMETRY 11
VII MENSURATION 23
Total 90
... contd. Syllabus
( 6 )
UNIT IV : TRIGONOMETRY
3. HEIGHTS AND DISTANCES (8) Periods
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°.
UNIT V : STATISTICS AND PROBABILITY
2. PROBABILITY (10) Periods
Classical definition of probability. Simple problems on single events (not using set notation).
UNIT VI : COORDINATE GEOMETRY
1. LINES (In two dimensions) (14) Periods
Review : concepts of coordinate geometry graphs of linear equations. Distance between two points and
section formula (internal Division). Area of a triangle.
UNIT VII : MENSURATION
1. AREAS RELATED TO CIRCLES (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.)
2. SURFACE AREAS AND VOLUMES (12) Periods
(I) 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.)
... contd. Syllabus
( 7 )
PRESCRIBED BOOKS :
Mathematics - Textbook for class X - NCERT Publication1.
Guidelines for Mathematics Laboratory in Schools, class X - CBSE Publication2.
A Handbook for Designing Mathematics Laboratory in Schools - NCERT Publication3.
Laboratory Manual - Mathematics, secondary stage - NCERT Publication4.
5. Mathematics - Exemplar Problems for class X - NCERT Publication
( 9 )
Qu
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––
2*
88%
To
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4 ×
1 =
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2 =
12
10 ×
3 =
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11 ×
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44
90
100%
*On
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th
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A (
4 m
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be
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th
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xts
.
–
Oswaal CBSE CCE Question Bank WithComplete Solutions For Class 10 TermII (October to March 2017) Mathematics
Publisher : Oswaal Books ISBN : 9789386177278 Author : Panel Of Experts
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