DAVPUBLIC SCHOOLS, JHARKHAND ZONE-D

1ST TERMINAL EXAMINATION-2023-24

FULL MARK: 80
CLASS: IX TIME: 3 HRS
SUBJECT: Mathematics

GENERAL INSTRUCTIONS:

1. This Question Paper has 5 Sections A-E.

2. Section A has 20 MCQs carrying l mark each.
each.
3. Section B has 5 questions carrying 02 marks
4. Section C has 6 questions carrying 03 marks each.
each.
5. Section D has 4 questions carrying 05 marks
units of assessment (04 marks each)with subparts of
6. Section E has 3 case based integrated
the values of 1, 1 and 2 marks each respectively.
1| Section :A
Page
1 Every rational number is
(b) An integer (c)a real no. (d) a whole no
(a) a natural no.
1
The representation of 0.666... in the form p/q is
(a) 4/3 (b) 5/3 (c) 5/4 (d) none of these
An inational number between 5 and 6 is
(a)(5+6) (b) (5+6)2 (c) (5x6)n (d)none of these
4 The value of 0.222... x 0.555... is
(b)10/9 (c) 10/81 (d) 10/99
(a)1
1
5 1
Ifx - - =5 then x' + =?
r2

(a) 25 (b)10 (c)23 (d)27

6 Degree of Constant polynomial
(a) 0 (b) 1 (c) infinite (d) 3

7 x²+1 is
(a) Quadratic polynomial (b) monomial (c) constant polynomial (d) binomial
Jfx140 +2x15l+k is divisible by x+1, then the value of k is
a) I (b) -3 (c) 2 (d) -2
9 If point p(3,0) and Q(a,0) areequidistant from the origin then a is equal to
(a) 3 (b) 3 (c) 2 (d) -2
10 The area of thetriangle formed by joining points A(-1,5) and B(-2,4) and their reflection in yI
axis is
(a) 3 sq. unit (b)6 sq. unit (c) 4 sq. unit (d) 12 sq.unit
11 If supplement of an angle is three times itscompliment then the measure of the angle is
(a) 45 (b) 40° (c) 90 (d)50".
12 lf tWoparallel lines are intersected by atransversal line in two distinct points then
(a)Co interior angle sum i80 (b) corresponding angle are equal
(c) alternate exterior angle are cqual (d) more than one option given.

1
13 Side BC ofa triangle ABC has produced to a point Dsuch that <ACD 120 .if< B=<A, 2

then angle A is
equal to
(a) 80° (b)75° (c) 60 (d) 90".
14 The bisector of exterior angles at Band Cof triangle ABC meet at O. If<A =x then 1

<BOC=
(a) 90+ (b) 90-2 (c) 180 + 2
(d) 180 - 2
2
15 If each side of anequilateral triangle of areas Ais doubled then the area of new triangle i
(b) 4 A (c) 8A (d) 6A
(a) 2A
A6 Abar graph is drawn to the scale lcm=k unit then a bar of length k cm represent 2
(a) 1unit (b) K unit (c) 2 K unit (d) K² unit
1
In ahistogram, each class rectangle is constant with base as
(a) Frequency (b) Class intervals (c) Range (d)Size of the class.
18 The graph of the lincar equation 4x - 3y -12=0 cuts x axis at point
(a) (3,0) (b) (-3,0) (c) (4,0) (d) (-4,0)
Assertion(A): If ACB is a straight line then < ACD=72
Reason (R): If a ray stands on a line, the sum of two adjacent angles formed is 180°
a) Both Aand R are true and R is the correct explanation of A.
b) Both Aand R are true but R is not the correct explanation of A.
c) A is true but R is false.
d) Ais false but R is true.
20 Assertion: The area of an equilateral triangle with each side a "is 4 a' sq. units
Reason: The area of atriangle with perimeter 2S and side a, b, cis given by
/s(s - a) (s b) (s - c)
a)Both A and Rare true and Ris the correct explanation of A.
b) Both A and R are true but R is not the correct explanation of A.
31
c) A is true but R is false.
d)A is false but R is true.
Section:B
2
21 Express 0.41333.. in the form of p/q.
2
22 Locate the point in Cartesian plain (on graph sheet) (6,-1) ,(-3,0), (5,-5), (3,7) .Also name
the Quadrant, where it lies ?
medians .Show that
23 ABCis an isosceles triangle with AB=ACand BD and CE are its two
BD= CE.
OR
.Find
In given figure DE IIQR and AP and BP are bisector of <EAB and < RBA respectively
<APB.
32

34

R
35
Sides ofa triangle are in ratio 12:17:25 and its perimeter is 540 cm. Find its arca. 2
24
2
The blood group of 30 student of class IX is recorded as follow
2
 A, B, O, 0, AB, O, A, 0, B, A, 0, B, A, O, 0,
A,AB,0,A, A,0, 0, AB, B, A, O, B, A, B,O.
Represent this data in the form of a frequency distribution table.
Section:C
7 3
26 Find S rational number between and

Prove that a² +b+e'-ab-bo-ca is always non negative for all value of a, b and c. 3
27
3
28 Point A(5.3) .B(-2, 3) and D(5,-4)are three vertices of square ABCD. Plot these points on a
graph paper and hence find the co-ordinate of the vertex C.
29 APand BQ arethe bisectors of the two alternate interior angles formed by the intersection of 3
atransversal T with parallel lines Iand m show that APIIBO.
OR
In given figure AC=AE , AB=AD and <BAD = <EAC.Show that BC=DE.

30 If OPII RS,<OPQ=110ad <QRS =130 then find <PQR=? 3

R S

130
110o

31 100 surnames were picked up randomly from a local directory

Number of letters Numbers of surmames
]-4 6
4-6 30
6-8 44
8-12 16
12-20 4
() Draw a histogram to depict the given information
(ii) Write the class interval in which the maximnum number of surnanme lies.

Section : D
32 If x+1/x-119.Find the value of x'+l/x.
33 5
ABis aline Segment. P andQ are points on opposite side of AB such that each of them is
equidistant from the points Aand B.Show the the line PQ is the perpendicular bisector of
AB.
34
A field is in the shape of trapezium whose parallel sides are 25em, 10cm.The non parallel
sides are 14cm and l13cm. Find the area of ficld.
9
The linear equation that converts Fabrenheit lo Celsius is F C +32.
(a)Draw the graph of !linear equation
3
 (b) Is there atemperature which is numerically the same in both Fahrenheit and Celsius? If
yes
find it .
(c) At 0 degree Celsius, what is the temperature of Fahrenheit measure?
(d) At 40 degree temperature of Fahrenheit, what is the degree Celsius
temperature?
Section :E
36 Read the text carefully and answer the question:
Achildren park is in the shape of isosceles triangle POR with
PQ=PR,S and T are points on 1
QR such that QT=RS 1
() Which rule is applied to prove the congrucncy of triangle PQS and triangle
(ii) Name the type of triangle PST
PRT 2

OR
if angle QPR -80 Find angle PQR=?
(ii) If PQ-6 cm, QR=7cm, then find perimeter of triangle PQR

37 After a 40-day journey starting from the Satish Dhawan Space Center in Sriharikota, the
Indian Space Research Organisation's (ISRO) Chandrayaan-3 mission has landed
successfully. The Vikram lander softly landed on the Moon's South Pole, landing at 6.04
PM IST on August 23. After successful landing of Vikram lander, Pragyan Rover comes
out from it. Pragyan Rover starts experimenting over moon surlace of name Shiv Shakti A
part of this region ,one region measures 120 m,80m and 50m.

(i) Howmuch triangular area experimented by Rover?

(i) If costing of experiment per square m is 3crore.what is total cost spent over 1
experiment?
(iii) Why chandryan 3 mission is necessary for India?

38 For the gjven equation x-2y=4, answer the followingquestions:

(i) Is (1, 1) the solution of the above equation?
2
(i) Does (6, 1) satisfy the given equation?
(iii) Does (2, 0) lie on the line x-2y=4 ?