CBSE Past Year Paper Session (2019) Set - 2, Math Class 8 Class 8 Notes | EduRev

Mathematics (Maths) Class 8

Created by: Indu Gupta

Class 8 : CBSE Past Year Paper Session (2019) Set - 2, Math Class 8 Class 8 Notes | EduRev

 Page 1


C B S E 	 Q u e s t i o n 	 P a p e r 	 2 0 1 9
C l a s s 	 8 	 M a t h e m a t i c s
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


C B S E 	 Q u e s t i o n 	 P a p e r 	 2 0 1 9
C l a s s 	 8 	 M a t h e m a t i c s
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


C B S E 	 Q u e s t i o n 	 P a p e r 	 2 0 1 9
C l a s s 	 8 	 M a t h e m a t i c s
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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