D.A.V. PUBLIC SCHOOL, THANE
SESSIONT 2024
-2425
FINAL EXAMINATION
SUBJECT: MATHEMATICS
STD: IX MAX MARKS:80
DATE: 04103/2025 TIME: 3 HOURS
General Instructions:
1. This Question Paper has 5 Sections A - E.
?,. Seetion A has 20 MCQs carrying 1 mark each.
3. Section B has 5 questions carrying 2 marks each.
4. Section C has 6 questions carrying 3 marks each.
5. Section D has 4 questions carrying 5 marks each.
6. Section E has 3 case based integrated units of assessment (04 marks each) with
subparts of the values of 1, 1 and 2 marks each respectively.
7. All Questions are compulsory. However, an internal choice in 2 Questions of 5
marks, 2 Questions of 3 marks and,2 Questions of 2 marks has been provided.
8. An internal choice has been provided in the 2marks questions of Section E
9. Draw neat figures wherever required.
10. Take n:2211 wherever required if not stated.
Q.No. SECTION A: (Question No. 1 b 2A q?qy 1 Iq4Ik each) Marks
" The number t.Zi in the form of v.q' wherep and q are integers and q ;t 0 is :
1. 1"
A),\L
74
B)f c)
14
99
D) L1
' 999
,, A rational number between 1
2
and I4 rs 1
A) o.Bs B) 1
4
c) o.q D) 1
3
3. The clegree of the zero polynomial is :
A)0 B)1 C) undefined D)2 1
4. Thevalueofk,if x = 2,y = -LisasolutionoftheequationZx - 3y = ?:
A)-1 B)1 c)-7 D)7 L
5 The coordinates of a point P are (2r 3i).If the point is moved 3 units to the right
1
and 2 units down, its new coordinates will be:
A) (s, 1) B) (3, s)
C) (1, D) (s,3) s)
6. Euclid stated that things which are equal to the same thing are also equal to one
another in the form of: I
A) Axiom B) Postulate C) Theorem D) Definition
If two interior angles on the same side of a transversal intersecting two parallel 1
7
lines are in the ratio 2 : 3, then the greater of the two angles is:
A) 54' 8)108' C)120" D) 136'
I The rneasure of an angle which is one-fourth of its complement is:
1
A) 22.5" B) 72" C) 18" D) 50"
Page I of 6
,-
In two triangles, ABC and PQ& LA:30o, zB = 70o, LP:1Ao, LQ: 80o and 1
9
AB = RP, then:
A) AABC APQR B) AABC = AQRP C) AABC = ARPQ D) AABC = ARQP
=
10. In a triangle PQR if ZQPR = 80o and PQ : PR, then ZR and ZQ are: I I
A) g0o,70o B) 80o, 80o c) 70", 80o D) 50o' 50o
I
I
i
11. Ifthe diagonals of a quadrilateral are equal and bisect each other at right
1
angles, then it is a:
A) Rhombus B) Rectangle c) Parallelogram D) Square
12. In the given figure, ZAOB = 90o and ZABC :30o, then 1
measure of zCAO is equal to:
A) 60', B) 45" c) 80' D) 15"
A
The perimeter of an equilateral triangle is 180 cm. Then its area is: 1
13
A) 90.,11 cmz B\ 9}a..{!cmz c) 900cmz y)gilcmz
The radius of a hemisphericat baltoon increases from 6 cm to 12 cm as air is
being pumped into it. The ratio of the surface areas of the balloon in the two
1
1,4-
cases is:
A) t|4 B) 1:3 C)2:3 D) 2;1
The area of the base of a right circular cone is 154 cm2 and its height is 24 cm.
I5 1
The curved surt-ace area of the cone is:
A) 460 cm2 B) 550 cm2 C) 520 cm2 D) 480 cm2
c
16. ABCD is a cyclic quadrilateral such that AB is a 1
diameter of the circle circumscribing it and
ZADC = 140o, then ZBAC is equal to:
A) 60' B) 45" c) 80" D) 50'
To draw a histogram of the following frequency distribution table, the adjusted
t7. frequency of for the class 25 - 45 is: 1
Class Interval 5-L0 10-15 t5-25 25-45 45-15
X'requency 6 12 L0 8 15
A)6 B)s c)3 D)2
18. In the given figure, if OA = 5 cm, AB: 8 cm and OD is I
L-
perpendicular to AB, then CD is equal to:
A) Zcm B) 3cm C) 6cm D) Scm
h
Page 2 of 5
SESSIONT 2024
-2425
FINAL EXAMINATION
SUBJECT: MATHEMATICS
STD: IX MAX MARKS:80
DATE: 04103/2025 TIME: 3 HOURS
General Instructions:
1. This Question Paper has 5 Sections A - E.
?,. Seetion A has 20 MCQs carrying 1 mark each.
3. Section B has 5 questions carrying 2 marks each.
4. Section C has 6 questions carrying 3 marks each.
5. Section D has 4 questions carrying 5 marks each.
6. Section E has 3 case based integrated units of assessment (04 marks each) with
subparts of the values of 1, 1 and 2 marks each respectively.
7. All Questions are compulsory. However, an internal choice in 2 Questions of 5
marks, 2 Questions of 3 marks and,2 Questions of 2 marks has been provided.
8. An internal choice has been provided in the 2marks questions of Section E
9. Draw neat figures wherever required.
10. Take n:2211 wherever required if not stated.
Q.No. SECTION A: (Question No. 1 b 2A q?qy 1 Iq4Ik each) Marks
" The number t.Zi in the form of v.q' wherep and q are integers and q ;t 0 is :
1. 1"
A),\L
74
B)f c)
14
99
D) L1
' 999
,, A rational number between 1
2
and I4 rs 1
A) o.Bs B) 1
4
c) o.q D) 1
3
3. The clegree of the zero polynomial is :
A)0 B)1 C) undefined D)2 1
4. Thevalueofk,if x = 2,y = -LisasolutionoftheequationZx - 3y = ?:
A)-1 B)1 c)-7 D)7 L
5 The coordinates of a point P are (2r 3i).If the point is moved 3 units to the right
1
and 2 units down, its new coordinates will be:
A) (s, 1) B) (3, s)
C) (1, D) (s,3) s)
6. Euclid stated that things which are equal to the same thing are also equal to one
another in the form of: I
A) Axiom B) Postulate C) Theorem D) Definition
If two interior angles on the same side of a transversal intersecting two parallel 1
7
lines are in the ratio 2 : 3, then the greater of the two angles is:
A) 54' 8)108' C)120" D) 136'
I The rneasure of an angle which is one-fourth of its complement is:
1
A) 22.5" B) 72" C) 18" D) 50"
Page I of 6
,-
In two triangles, ABC and PQ& LA:30o, zB = 70o, LP:1Ao, LQ: 80o and 1
9
AB = RP, then:
A) AABC APQR B) AABC = AQRP C) AABC = ARPQ D) AABC = ARQP
=
10. In a triangle PQR if ZQPR = 80o and PQ : PR, then ZR and ZQ are: I I
A) g0o,70o B) 80o, 80o c) 70", 80o D) 50o' 50o
I
I
i
11. Ifthe diagonals of a quadrilateral are equal and bisect each other at right
1
angles, then it is a:
A) Rhombus B) Rectangle c) Parallelogram D) Square
12. In the given figure, ZAOB = 90o and ZABC :30o, then 1
measure of zCAO is equal to:
A) 60', B) 45" c) 80' D) 15"
A
The perimeter of an equilateral triangle is 180 cm. Then its area is: 1
13
A) 90.,11 cmz B\ 9}a..{!cmz c) 900cmz y)gilcmz
The radius of a hemisphericat baltoon increases from 6 cm to 12 cm as air is
being pumped into it. The ratio of the surface areas of the balloon in the two
1
1,4-
cases is:
A) t|4 B) 1:3 C)2:3 D) 2;1
The area of the base of a right circular cone is 154 cm2 and its height is 24 cm.
I5 1
The curved surt-ace area of the cone is:
A) 460 cm2 B) 550 cm2 C) 520 cm2 D) 480 cm2
c
16. ABCD is a cyclic quadrilateral such that AB is a 1
diameter of the circle circumscribing it and
ZADC = 140o, then ZBAC is equal to:
A) 60' B) 45" c) 80" D) 50'
To draw a histogram of the following frequency distribution table, the adjusted
t7. frequency of for the class 25 - 45 is: 1
Class Interval 5-L0 10-15 t5-25 25-45 45-15
X'requency 6 12 L0 8 15
A)6 B)s c)3 D)2
18. In the given figure, if OA = 5 cm, AB: 8 cm and OD is I
L-
perpendicular to AB, then CD is equal to:
A) Zcm B) 3cm C) 6cm D) Scm
h
Page 2 of 5
