Term 2 (October to March 2015)

OSWAAL BOOKS“Oswaal House” 1/11, Sahitya Kunj, M.G. Road, AGRA-282002Ph.: 0562-2857671, 2527781, Fax : 0562-2854582, 2527784

email : contact@oswaalbooks.com, website : www.oswaalbooks.com

Published by :

*Solutions for SQP 6-10 can be downloaded from www.oswaalbooks.com

CBSEContinuous and Comprehensive Evaluation (CCE)

Class9

SAMPLEQUESTION

PAPERS

CONTENTS z Syllabus v - vii

z On Tips Notes 9 - 25

z Sample Question Papers � Sample Question Paper - 1 (Solved) 26 - 29 � Sample Question Paper - 2 (Solved) 30 - 32 � Sample Question Paper - 3 (Solved) 33 - 35 � Sample Question Paper - 4 (Solved) 36 - 38 � Sample Question Paper - 5 (Solved) 39 - 41

z Self Assessment � Sample Question Paper - 6 42 - 44 � Sample Question Paper - 7 45 - 47 � Sample Question Paper - 8 48 - 51 � Sample Question Paper - 9 52 - 55 � Sample Question Paper - 10 56 - 59

z Solutions � Sample Question Paper - 1 60 - 68 � Sample Question Paper - 2 69 - 78 � Sample Question Paper - 3 79 - 87 � Sample Question Paper - 4 88 - 95 � Sample Question Paper - 5 96 - 104

z Open Text-Based Assessment 1. Theme – A One Day Trip of Four Friends Questions Based on Theme 1 108 - 1132. Theme – Health Camp in Dune Valley School Questions Based on Theme 2 115 - 118

* SOLUTIONS for Sample Question Paper 6 to 10 can be downloaded from www.OswaalBooks.com

qq

(iii)

PREFACE

The Albert Einstein said “Education is not the learning of facts, but the training of mind

to think”. So to train the mind and strengthen the roots of students, the CBSE started

Continuous & Comprehensive Evaluation (CCE). The term ‘Continuous’ in the CCE refers to the

periodicity and regularity in assessment and the term ‘Comprehensive’ refers to overall assessment

of the learner, in both curricular & co curricular scheme of things.

The CBSE initiated the change and to support it, Oswaal Publication started an

exclusive series of books which comprises of Sample Question Papers along with other titles. The

thought was to give students enough questions to solve rather than feeding them with answers to

remember.

The Sample Question Papers strictly follow the CBSE guidelines, syllabus and marking scheme.

This book has total 10 sample question papers. Out of which 5 question papers are solved, and the

answers follow the word limit specified by the CBSE. The answers have been written in steps and

each step specifies marks as per the CBSE marking scheme. In this way students can learn what to

write, how much to write and time management which will reduce their stress during examination.

However as mentioned Oswaal Publication believes that students should do self-

practice with enough number of questions, hence this book has 5 more sample papers which are

unsolved and meant for self-assessment. After solving the unsolved sample question papers, students

can download solutions from our website and can check their work. In this way

students can take proactive measures for examinations by learning from their mistakes.

Each Sample Question Paper includes value based and HOTS questions (Higher Order

Thinking Skills). Each and every single question covers all typologies specified by CBSE.

Wherever required, well labelled and high quality figures/diagrams are given for easy and fast

learning. One of the major attractions is “On Tips Notes” which will help students in revision of the

whole syllabus very fast and effectively. Oswaal Publication believes in continuous

improvement, hence this book is updated, reviewed every year with new questions and all the

answers are checked twice.

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.

—Publisher

SYLLABUS COURSE STRUCTURE - 2014-15

CLASS IX

Second Term Marks : 90

UNITS MARKS

II. ALGEBRA (Contd.) 16

III. GEOMETRY (Contd.) 38

V. MENSURATION (Contd.) 18

VI. PROBABILITY 08

VII. STATISTICS 10

TOTAL 90

Note : The text of OTBA for SA-II will be from Unit - 7 statistics.

UNIT II : ALGEBRA (Contd.)

2. LINEAR EQUATIONS IN TWO VARIABLES (14) Periods

Recall of linear equations in one variable. Introduction to the equation in two variables. Prove that a linear equation in two variables has infinitely many solutions and justify them being written as ordered pairs of real numbers, plotting them and showing that they seem to lie on a line. Examples, problems from real life, including problems on Ratio and Proportion and with algebraic and graphical solutions being done simultaneously.

UNIT III : GEOMETRY (Contd.)

4. QUADRILATERALS (10) Periods

1. (Prove) The diagonal divides a parallelogram into two congruent triangles.

2. (Motivate) In a parallelogram opposite sides are equal and conversely.

3. (Motivate) In a parallelogram opposite angles are equal and conversely.

4. (Motivate) A quadrilateral is a parallelogram having a pair of its opposite sides parallel and equal.

5. (Motivate) In a parallelogram the diagonals bisect each other and conversely.

6. (Motivate) In a triangle the line segment joining the mid-points of any two sides is parallel to the third side and (motivate) its converse.

(v)

5. AREA (4) Periods Review concept of area, recall area of a rectangle. 1. (Prove) Parallelograms on the same base and between the same parallels have the same

area. 2. (Motivate) Triangles on the same (or equal base) base and between the same parallels are

equal in area.

6. CIRCLES (15) Periods Through examples, arrive at definitions of circle related concepts, radius, circumference,

diameter, chord, arc, secant, sector, segment subtended angle. 1. (Prove) Equal chords of a circle subtend equal angles at the centre and (motivate) its

converse. 2. (Motivate) The perpendicular from the centre of a circle to a chord bisects the chord and

conversely, the line drawn through the centre of a circle to bisect a chord is perpendicular to the chord.

3. (Motivate) There is one and only one circle passing through three given non-collinear points.

4. (Motivate) Equal chords of a circle (or of congruent circles) are equidistant from the centre (or their repective centers) and conversely.

5. (Prove) The angle subtended by an arc at the centre is double the angle subtended by it at any point on the remaining part of the circle.

6. (Motivate) Angles in the same segment of a circle are equal. 7. (Motivate) If a line segment joining two points subtends equal angle at two other points

lying on the same side of the line containing the segment, the four points lie on a circle. 8. (Motivate) The sum of either of the pair of the opposite angles of a cyclic quadrilateral is

180° and its converse.

7. CONSTRUCTIONS (10) Periods 1. Construction of bisectors of line segment and angles of measure 60°, 90°, 45° etc, equilateral

triangles. 2. Construction of a triangle given its base, sum / difference of the other two sides and one

base angle. 3. Construction of a triangle of given perimeter and base angles.

UNIT V : MENSURATION (Contd.)

2. SURFACE AREAS AND VOLUMES (12) Periods Surface areas and volumes of cubes, cuboids, spheres (including hemispheres) and right

circular cylinders / cones.

UNIT VI : PROBABILITY (12) Periods

History, Repeated experiments and observed frequency approach to probability. Focus is on empirical probability. (A large amount of time to be devoted to group and to individual activities to motivate the concept; the experiments to be drawn from real - life situations and from examples used in the chapter on statistics).

UNIT VII : STATISTICS (13) Periods

Introduction to Statistics : Collection of data, presentation of data – tabular form, ungrouped / grouped, bar graphs, histograms (with varying base lengths), frequency polygons, qualitative analysis of data to choose the correct form of presentation for the collected data. Mean, median, mode of ungrouped data.

(vi)

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(vii)

ON TIPS NOTESNote taking is a skill that we use in many walks of life : at school, university and in the world of work. However, accurate note making requires a thorough understanding of concepts. We, at Oswaal, have tried to encapsulate all the chapters from the given syllabus into the following ON TIPS NOTES. These notes will not only facilitate better understanding of concepts, but will also ensure that each and every concept is taken up and every chapter is covered in totality. So go ahead and use them to your advantage..... go get the OSWAAL ADVAN-TAGE!!

CHAPTER 1 : Linear Equations in Two Variables

Fundamentals :

A linear equation in two variables has infinitely many solutions. Standard form of a linear equation in two variable is ax + by + c = 0, where a and b are coefficients and

c is a constant. The value of x and y which satisfy the equation is known as the solution of the equation. The graph of every linear equation in two variables is a straight line. x = 0 is the equation of the y-axis. y = 0 is the equation of the x-axis.

Types of Graph :

The graph of x = k is a straight line parallel to the y-axis, example x = 5 and x = – 8, shown below :

6 5 4 3 2– – – – ––1

–2

–3

–4

4

3

2

1

1 2 3 4 5 68 7– – –

–5

–6

–7

7 8

7

6

5

y

y'

x' x1– 9 10–9–10

–8

–9

–10

8

9

10

x = 5x = – 8

O

cont inue

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