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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 : [email protected], 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
(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)
QU
ES
TIO
N P
AP
ER
DE
SIG
N 2
014-
15C
LA
SS
–IX
MA
TH
EM
AT
ICS
CO
DE
NO
. 041
T
ime
: 3 H
ours
M
ark
s : 9
0
S.
No.
Typ
olog
y of
Qu
esti
ons
Ver
y S
hor
tA
nsw
er
(VS
A)
(1 M
ark
)
Sh
ort
An
swer
- I
(SA
)(2
Mar
ks)
Sh
ort
An
swer
- II
(SA
)(3
Mar
ks)
Lon
gA
nsw
er(L
A)
(4 M
ark
s)
Tot
alM
ark
s%
Wei
ghta
ge
1.R
emem
beri
ng
- (K
now
led
ge b
ased
Sim
ple
reca
ll q
uest
ions
, to
kno
w s
peci
fic f
acts
, te
rms,
co
ncep
ts, p
rinc
iple
s, o
r th
eori
es; I
dent
ify,
defi
ne,
or r
ecit
e, in
form
atio
n)
12
23
2326
%
2.U
nd
erst
and
ing
- (C
omp
reh
ensi
on
- to
be
fa
mil
iar
wit
h m
eani
ng
and
to
unde
rsta
nd
conc
eptu
ally
, in
terp
ret,
co
mpa
re,
cont
rast
, ex
plai
n, p
arap
hras
e, o
r in
terp
ret
info
rmat
ion)
11
12
1416
%
3.A
pp
lica
tion
-
(Use
ab
stra
ct
info
rmat
ion
in
conc
rete
sit
uati
on,
to a
pply
kno
wle
dge
to n
ew
situ
atio
ns;
Use
gi
ven
cont
ent
to
inte
rpre
t a
situ
atio
n, p
rovi
de a
n ex
ampl
e, o
r so
lve
a pr
oble
m)
12
32
2224
%
4.H
igh
Ord
er T
hin
kin
g S
kil
ls (
An
alys
is
&
Syn
thes
is
- C
lass
ify,
co
mpa
re,
cont
rast
, or
di
ffer
enti
ate
betw
een
diff
eren
t pi
eces
of
in
form
atio
n; O
rgan
ize
and/
or i
nteg
rate
uni
que
piec
es o
f inf
orm
atio
n fr
om a
var
iety
of s
ourc
es)
11
41
1921
%
5.C
reat
ing,
Eva
luat
ion
an
d M
ult
i-D
isci
pli
nar
y-
(Gen
erat
ing
new
ide
as,
prod
uct
or -
way
s of
vi
ewin
g th
ings
; A
ppra
ise,
jud
ge,
and/
or j
usti
fy
the
valu
e or
wor
th o
f a d
ecis
ion
or o
utco
me,
or
to
pred
ict
outc
omes
bas
ed o
n va
lues
)
––
–3*
1213
%
Tot
al4
× 1
= 4
6 ×
2 =
1210
× 3
= 3
011
× 4
= 4
490
100%
Not
e :
The
que
stio
n pa
per
wil
l inc
lude
a s
ecti
on o
n O
pen
Tex
t B
ased
Ass
essm
ent
(que
stio
ns o
f 10
mar
ks).
The
cas
e st
udie
s w
ill b
e su
ppli
ed
to
stu
dent
s in
adv
ance
. The
se c
ase
stud
ies
are
desi
gned
to
test
the
ana
lyti
cal a
nd h
ighe
r or
der
thin
king
ski
lls
of s
tude
nts.
*One
of t
he L
A (4
mar
ks) w
ill a
sses
s th
e va
lues
inhe
rent
in t
he t
exts
.
(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
A B C D E F G H I J K L M N O P Q R S T U V W X Y Z #
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