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T i m e 	 : 	 2 . 3 0 	 H r s
M . M . 	 : 	 5 0
G e n e r a l 	 I n s t r u c t i o n s 	 :
i . 	 A l l 	 t h e 	 q u e s t i o n s 	 a r e 	 c o m p u l s o r y .
i i . 	 P l e a s e 	 w r i t e 	 d o w n 	 t h e 	 s e r i a l 	 n u m b e r 	 o f 	 t h e 	 q u e s t i o n 	 b e f o r e 	 a t t e m p t i n g 	 i t .
i i i . 	 T h e 	 q u e s t i o n 	 p a p e r 	 c o n s i s t s 	 o f 	 2 2 	 q u e s t i o n s 	 a n d 	 i t 	 i s 	 d i v i d e d 	 i n t o 	 f o u r 	 s e c t i o n s 	 A , 	 B , 	 C 	 a n d
D .
i v . 	 S e c t i o n 	 A 	 c o m p r i s e s 	 o f 	 5 	 q u e s t i o n s 	 c a r r y i n g 	 1 	 m a r k 	 e a c h .
v . 	 S e c t i o n 	 B 	 c o m p r i s e s 	 o f 	 9 	 q u e s t i o n s 	 c a r r y i n g 	 2 	 m a r k s 	 e a c h .
v i . 	 S e c t i o n 	 C 	 c o m p r i s e s 	 o f 	 5 	 q u e s t i o n s 	 c a r r y i n g 	 3 	 m a r k s 	 e a c h .
v i i . 	 S e c t i o n 	 D 	 c o m p r i s e s 	 o f 	 3 	 q u e s t i o n s 	 c a r r y i n g 	 4 	 m a r k s 	 e a c h .
v i i i . 	 T h e r e 	 i s 	 n o 	 o v e r a l l 	 c h o i c e . 	 H o w e v e r , 	 a n 	 i n t e r n a l 	 c h o i c e 	 h a s 	 b e e n 	 p r o v i d e d 	 i n 	 1 	 q u e s t i o n
o f 	 3 	 m a r k s 	 a n d 	 1 	 q u e s t i o n 	 o f 	 4 	 m a r k s 	 e a c h . 	 Y o u 	 h a v e 	 t o 	 a t t e m p t 	 o n l y 	 o n e 	 o f 	 t h e
a l t e r n a t i v e s 	 i n 	 a l l 	 s u c h 	 q u e s t i o n s .
i x . 	 U s e 	 o f 	 c a l c u l a t o r 	 i s 	 n o t 	 p e r m i t t e d .
S E C T I O N 	 A
1 . 	 W h a t 	 i s 	 t h e 	 u n i t ’ s 	 d i g i t 	 i n 	 t h e 	 s q u a r e 	 o f 	 7 0 5 3 ?
2 . 	 F i n d 	 t h e 	 v a l u e 	 o f 	 ( x 	 + 	 5 ) 	 a t 	 x 	 = 	 - 1 .
3 . 	 N a m e 	 a n y o n e 	 t h r e e - d i m e n s i o n a l 	 f i g u r e .
4 . 	 F i n d 	 t h e 	 s q u a r e 	 o f 	 6 .
5 . 	 I s 	 1 0 5 5 	 d i v i s i b l e 	 b y 	 1 0 ? 	 G i v e 	 r e a s o n .
S E C T I O N 	 B
6 . 	 S i m p l i f y 	 :
( 3
5 	
3
8
) 	 	 3
5
7 . 	 T h e 	 t o p 	 s u r f a c e 	 o f 	 a 	 t a b l e 	 h a s 	 a 	 s h a p e 	 o f 	 t r a p e z i u m . 	 F i n d 	 t h e 	 a r e a 	 o f 	 t h e 	 s u r f a c e .
Page 2


T i m e 	 : 	 2 . 3 0 	 H r s
M . M . 	 : 	 5 0
G e n e r a l 	 I n s t r u c t i o n s 	 :
i . 	 A l l 	 t h e 	 q u e s t i o n s 	 a r e 	 c o m p u l s o r y .
i i . 	 P l e a s e 	 w r i t e 	 d o w n 	 t h e 	 s e r i a l 	 n u m b e r 	 o f 	 t h e 	 q u e s t i o n 	 b e f o r e 	 a t t e m p t i n g 	 i t .
i i i . 	 T h e 	 q u e s t i o n 	 p a p e r 	 c o n s i s t s 	 o f 	 2 2 	 q u e s t i o n s 	 a n d 	 i t 	 i s 	 d i v i d e d 	 i n t o 	 f o u r 	 s e c t i o n s 	 A , 	 B , 	 C 	 a n d
D .
i v . 	 S e c t i o n 	 A 	 c o m p r i s e s 	 o f 	 5 	 q u e s t i o n s 	 c a r r y i n g 	 1 	 m a r k 	 e a c h .
v . 	 S e c t i o n 	 B 	 c o m p r i s e s 	 o f 	 9 	 q u e s t i o n s 	 c a r r y i n g 	 2 	 m a r k s 	 e a c h .
v i . 	 S e c t i o n 	 C 	 c o m p r i s e s 	 o f 	 5 	 q u e s t i o n s 	 c a r r y i n g 	 3 	 m a r k s 	 e a c h .
v i i . 	 S e c t i o n 	 D 	 c o m p r i s e s 	 o f 	 3 	 q u e s t i o n s 	 c a r r y i n g 	 4 	 m a r k s 	 e a c h .
v i i i . 	 T h e r e 	 i s 	 n o 	 o v e r a l l 	 c h o i c e . 	 H o w e v e r , 	 a n 	 i n t e r n a l 	 c h o i c e 	 h a s 	 b e e n 	 p r o v i d e d 	 i n 	 1 	 q u e s t i o n
o f 	 3 	 m a r k s 	 a n d 	 1 	 q u e s t i o n 	 o f 	 4 	 m a r k s 	 e a c h . 	 Y o u 	 h a v e 	 t o 	 a t t e m p t 	 o n l y 	 o n e 	 o f 	 t h e
a l t e r n a t i v e s 	 i n 	 a l l 	 s u c h 	 q u e s t i o n s .
i x . 	 U s e 	 o f 	 c a l c u l a t o r 	 i s 	 n o t 	 p e r m i t t e d .
S E C T I O N 	 A
1 . 	 W h a t 	 i s 	 t h e 	 u n i t ’ s 	 d i g i t 	 i n 	 t h e 	 s q u a r e 	 o f 	 7 0 5 3 ?
2 . 	 F i n d 	 t h e 	 v a l u e 	 o f 	 ( x 	 + 	 5 ) 	 a t 	 x 	 = 	 - 1 .
3 . 	 N a m e 	 a n y o n e 	 t h r e e - d i m e n s i o n a l 	 f i g u r e .
4 . 	 F i n d 	 t h e 	 s q u a r e 	 o f 	 6 .
5 . 	 I s 	 1 0 5 5 	 d i v i s i b l e 	 b y 	 1 0 ? 	 G i v e 	 r e a s o n .
S E C T I O N 	 B
6 . 	 S i m p l i f y 	 :
( 3
5 	
3
8
) 	 	 3
5
7 . 	 T h e 	 t o p 	 s u r f a c e 	 o f 	 a 	 t a b l e 	 h a s 	 a 	 s h a p e 	 o f 	 t r a p e z i u m . 	 F i n d 	 t h e 	 a r e a 	 o f 	 t h e 	 s u r f a c e .
8 . 	 C h e c k 	 t h e 	 d i v i s i b i l i t y 	 o f 	 t h e 	 n u m b e r 	 8 1 5 9 6 1 	 b y 	 3 .
9 . 	
A n s w e r 	 t h e 	 f o l l o w i n g 	 o n 	 t h e 	 b a s i s 	 o f 	 t h e 	 b a r - g r a p h 	 :
a . 	 W h i c h 	 e a t a b l e 	 h a s 	 t h e 	 l e a s t 	 s a l e ?
b . 	 W h a t 	 i s 	 t h e 	 t o t a l 	 s a l e 	 o f 	 b i s c u i t s 	 a n d 	 d r i n k s ?
1 0 . 	 F a c t o r i z e :
2 5 a
2 	
- 	 4 b
2
	 + 	 2 8 b c 	 - 	 4 9 c
2
1 1 . 	 A 	 p o l y h e d r a n 	 h a s 	 8 	 f a c e s 	 a n d 	 1 2 	 e d g e s . 	 F i n d 	 t h e 	 n u m b e r 	 o f 	 v e r t i c e s 	 b y 	 u s i n g 	 E u l e r ' s
f o r m u l a . 	
1 2 . 	 S u b t r a c t 	 5 x y 	 - 	 2 y z 	 + 	 1 0 x y z 	 f r o m 	 3 x y 	 + 	 5 y z 	 - 	 7 z x .
1 3 . 	 E x p r e s s 	 t h e 	 f o l l o w i n g 	 n u m b e r s 	 i n 	 u s u a l 	 f o r m :
a . 	 4 1 0 -
6
b . 	 1 . 0 6 4 5 2 1 0
8
1 4 . 	 D i v i d e : 	 2 4 ( x
2
y z + z y
2
z + x y z
2
) 1 2 ( x y z )
S E C T I O N 	 C
1 5 . 	 F i n d 	 t h r e e 	 r a t i o n a l 	 n u m b e r s 	 b e t w e e n 	 	 a n d 	
1 6 . 	 F i n d 	 t h e 	 s q u a r e 	 r o o t 	 o f 	 7 9 . 2 1 	 b y 	 d i v i s i o n 	 m e t h o d .
1 7 . 	 C o n s t r u c t 	 a 	 q u a d r i l a t e r a l 	 A B C D 	 i n 	 w h i c h :
A B 	 = 	 4 	 c m , 	 B C 	 = 	 3 	 c m , 	 D A 	 = 	 2 . 5 	 c m , 	 A C 	 = 	 4 . 5 	 c m , 	 B D 	 = 	 4 	 c m .
Page 3


T i m e 	 : 	 2 . 3 0 	 H r s
M . M . 	 : 	 5 0
G e n e r a l 	 I n s t r u c t i o n s 	 :
i . 	 A l l 	 t h e 	 q u e s t i o n s 	 a r e 	 c o m p u l s o r y .
i i . 	 P l e a s e 	 w r i t e 	 d o w n 	 t h e 	 s e r i a l 	 n u m b e r 	 o f 	 t h e 	 q u e s t i o n 	 b e f o r e 	 a t t e m p t i n g 	 i t .
i i i . 	 T h e 	 q u e s t i o n 	 p a p e r 	 c o n s i s t s 	 o f 	 2 2 	 q u e s t i o n s 	 a n d 	 i t 	 i s 	 d i v i d e d 	 i n t o 	 f o u r 	 s e c t i o n s 	 A , 	 B , 	 C 	 a n d
D .
i v . 	 S e c t i o n 	 A 	 c o m p r i s e s 	 o f 	 5 	 q u e s t i o n s 	 c a r r y i n g 	 1 	 m a r k 	 e a c h .
v . 	 S e c t i o n 	 B 	 c o m p r i s e s 	 o f 	 9 	 q u e s t i o n s 	 c a r r y i n g 	 2 	 m a r k s 	 e a c h .
v i . 	 S e c t i o n 	 C 	 c o m p r i s e s 	 o f 	 5 	 q u e s t i o n s 	 c a r r y i n g 	 3 	 m a r k s 	 e a c h .
v i i . 	 S e c t i o n 	 D 	 c o m p r i s e s 	 o f 	 3 	 q u e s t i o n s 	 c a r r y i n g 	 4 	 m a r k s 	 e a c h .
v i i i . 	 T h e r e 	 i s 	 n o 	 o v e r a l l 	 c h o i c e . 	 H o w e v e r , 	 a n 	 i n t e r n a l 	 c h o i c e 	 h a s 	 b e e n 	 p r o v i d e d 	 i n 	 1 	 q u e s t i o n
o f 	 3 	 m a r k s 	 a n d 	 1 	 q u e s t i o n 	 o f 	 4 	 m a r k s 	 e a c h . 	 Y o u 	 h a v e 	 t o 	 a t t e m p t 	 o n l y 	 o n e 	 o f 	 t h e
a l t e r n a t i v e s 	 i n 	 a l l 	 s u c h 	 q u e s t i o n s .
i x . 	 U s e 	 o f 	 c a l c u l a t o r 	 i s 	 n o t 	 p e r m i t t e d .
S E C T I O N 	 A
1 . 	 W h a t 	 i s 	 t h e 	 u n i t ’ s 	 d i g i t 	 i n 	 t h e 	 s q u a r e 	 o f 	 7 0 5 3 ?
2 . 	 F i n d 	 t h e 	 v a l u e 	 o f 	 ( x 	 + 	 5 ) 	 a t 	 x 	 = 	 - 1 .
3 . 	 N a m e 	 a n y o n e 	 t h r e e - d i m e n s i o n a l 	 f i g u r e .
4 . 	 F i n d 	 t h e 	 s q u a r e 	 o f 	 6 .
5 . 	 I s 	 1 0 5 5 	 d i v i s i b l e 	 b y 	 1 0 ? 	 G i v e 	 r e a s o n .
S E C T I O N 	 B
6 . 	 S i m p l i f y 	 :
( 3
5 	
3
8
) 	 	 3
5
7 . 	 T h e 	 t o p 	 s u r f a c e 	 o f 	 a 	 t a b l e 	 h a s 	 a 	 s h a p e 	 o f 	 t r a p e z i u m . 	 F i n d 	 t h e 	 a r e a 	 o f 	 t h e 	 s u r f a c e .
8 . 	 C h e c k 	 t h e 	 d i v i s i b i l i t y 	 o f 	 t h e 	 n u m b e r 	 8 1 5 9 6 1 	 b y 	 3 .
9 . 	
A n s w e r 	 t h e 	 f o l l o w i n g 	 o n 	 t h e 	 b a s i s 	 o f 	 t h e 	 b a r - g r a p h 	 :
a . 	 W h i c h 	 e a t a b l e 	 h a s 	 t h e 	 l e a s t 	 s a l e ?
b . 	 W h a t 	 i s 	 t h e 	 t o t a l 	 s a l e 	 o f 	 b i s c u i t s 	 a n d 	 d r i n k s ?
1 0 . 	 F a c t o r i z e :
2 5 a
2 	
- 	 4 b
2
	 + 	 2 8 b c 	 - 	 4 9 c
2
1 1 . 	 A 	 p o l y h e d r a n 	 h a s 	 8 	 f a c e s 	 a n d 	 1 2 	 e d g e s . 	 F i n d 	 t h e 	 n u m b e r 	 o f 	 v e r t i c e s 	 b y 	 u s i n g 	 E u l e r ' s
f o r m u l a . 	
1 2 . 	 S u b t r a c t 	 5 x y 	 - 	 2 y z 	 + 	 1 0 x y z 	 f r o m 	 3 x y 	 + 	 5 y z 	 - 	 7 z x .
1 3 . 	 E x p r e s s 	 t h e 	 f o l l o w i n g 	 n u m b e r s 	 i n 	 u s u a l 	 f o r m :
a . 	 4 1 0 -
6
b . 	 1 . 0 6 4 5 2 1 0
8
1 4 . 	 D i v i d e : 	 2 4 ( x
2
y z + z y
2
z + x y z
2
) 1 2 ( x y z )
S E C T I O N 	 C
1 5 . 	 F i n d 	 t h r e e 	 r a t i o n a l 	 n u m b e r s 	 b e t w e e n 	 	 a n d 	
1 6 . 	 F i n d 	 t h e 	 s q u a r e 	 r o o t 	 o f 	 7 9 . 2 1 	 b y 	 d i v i s i o n 	 m e t h o d .
1 7 . 	 C o n s t r u c t 	 a 	 q u a d r i l a t e r a l 	 A B C D 	 i n 	 w h i c h :
A B 	 = 	 4 	 c m , 	 B C 	 = 	 3 	 c m , 	 D A 	 = 	 2 . 5 	 c m , 	 A C 	 = 	 4 . 5 	 c m , 	 B D 	 = 	 4 	 c m .
1 8 . 	 S o l v e 	 b y 	 u s i n g 	 c o r r e c t 	 i d e n t i t y :
( 0 . 4 p 	 - 	 0 . 5 q )
2
O R
S h o w 	 	 t h a t :
( 4 p q 	 + 	 3 q )
2
	 - 	 ( 4 p q 	 - 	 3 q )
2
	 = 	 4 8 p q
2
1 9 . 	 T h e 	 f o l l o w i n g 	 t a b l e 	 s h o w s 	 t h e 	 e x p e n d i t u r e 	 o n 	 v a r i o u s 	 i t e m s 	 b y 	 a 	 f a m i l y . 	 D r a w 	 a 	 p i e - c h a r t
f o r 	 t h e 	 f o l l o w i n g :
I t e m F o o d C l o t h i n g R e n t E d u c a t i o n
E x p e n d i t u r e 1 2 0 0 0 8 0 0 0 5 0 0 0 1 5 0 0 0
S E C T I O N 	 D
2 0 . 	 F i l l 	 i n 	 t h e 	 b l a n k s :
a . 	 A r e a 	 o f 	 t r a p e z i u m 	 = 	 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
b . 	 A r e a 	 o f 	 r h o m b u s 	 = 	 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
c . 	 A r e a 	 o f 	 t r i a n g l e 	 = 	 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
d . 	 P e r i m e t e r 	 o f 	 r e c t a n g l e 	 = 	 . . . . . . . . . . . . . . . . . . . . . . . . . . .
O R
T h e 	 g i v e n 	 p i c t u r e 	 f r a m e 	 h a s 	 o u t e r 	 d i m e n s i o n s 	 2 4 	 c m 	 2 8 	 c m 	 a n d 	 i n n e r 	 d i m e n s i o n s
1 6 	 c m 	 2 0 	 c m . 	 F i n d 	 t h e 	 a r e a 	 o f 	 s e c t i o n 	 A 	 a n d 	 B 	 i f 	 t h e 	 w i d t h 	 o f 	 e a c h 	 s e c t i o n 	 i n 	 s a m e .
2 1 . 	 T h e 	 f o l l o w i n g 	 t a b l e 	 g i v e s 	 t h e 	 p o p u l a t i o n 	 o f 	 a 	 c i t y 	 i n 	 d i f f e r e n t 	 y e a r s . 	 P r e p a r e 	 a 	 g r a p h 	 f o r
t h e 	 g i v e n 	 t a b l e :
Y e a r 2 0 0 2 2 0 0 3 2 0 0 4 2 0 0 5
P o p u l a t i o n 	 ( i n 	 t h o u s a n d ) 5 5 4 8 5 2 5 0
2 2 . 	 A 	 c o m p a n y 	 f i l l s 	 1 6 0 	 p o u c h e s 	 o f 	 m i l k 	 i n 	 8 	 h o u r s . 	 H o w 	 m u c h 	 h o u r s 	 w i l l 	 t h e 	 c o m p a n y 	 t a k e
t o 	 f i l l 	 4 0 0 	 p o u c h e s ?
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FAQs on Class 8 Math: CBSE Past Year Paper - 2 - Mathematics (Maths) Class 8

1. What is the CBSE Class 8 Math Past Year Paper - 2?
Ans. The CBSE Class 8 Math Past Year Paper - 2 refers to a question paper that was set by the Central Board of Secondary Education (CBSE) for the Math subject in the 8th grade. It is a previous year's question paper that students can refer to for practice and understanding the exam pattern.
2. How can I access the CBSE Class 8 Math Past Year Paper - 2?
Ans. The CBSE Class 8 Math Past Year Paper - 2 can be accessed through various sources. You can check the official website of CBSE or other educational websites that provide question papers and study materials for different classes. Additionally, you can also ask your school or teachers for the paper.
3. What is the importance of solving the CBSE Class 8 Math Past Year Paper - 2?
Ans. Solving the CBSE Class 8 Math Past Year Paper - 2 is important as it helps students to familiarize themselves with the exam pattern, marking scheme, and types of questions asked in the actual exam. It also aids in identifying their strengths and weaknesses, allowing them to focus on areas that require improvement. Regular practice of past year papers enhances time management skills and boosts confidence for the final exams.
4. Can I rely solely on the CBSE Class 8 Math Past Year Paper - 2 for exam preparation?
Ans. While the CBSE Class 8 Math Past Year Paper - 2 is a valuable resource for exam preparation, it is advisable not to rely solely on it. It is essential to thoroughly understand the concepts and topics covered in the syllabus and practice additional questions from textbooks and other study materials. This comprehensive approach ensures a deeper understanding of the subject and better performance in the exams.
5. Are the questions in the CBSE Class 8 Math Past Year Paper - 2 exactly the same as the actual exam?
Ans. The questions in the CBSE Class 8 Math Past Year Paper - 2 may not be exactly the same as the ones that appear in the actual exam. However, they are designed to be similar in terms of difficulty level, concepts tested, and format. Solving past year papers helps students get acquainted with the question patterns and gain confidence in tackling similar questions in the actual exam.
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