CBSE Past Year Paper Session (2016-2017) Set - 3, Math Class 8 Class 8 Notes | EduRev

Past Year Papers For Class 8

Created by: Indu Gupta

Class 8 : CBSE Past Year Paper Session (2016-2017) Set - 3, Math Class 8 Class 8 Notes | EduRev

 Page 1


Q u e s t i o n 	 P a p e r 	 	 2 0 1 6 - 2 0 1 7
C B S E 	 C l a s s 	 V I I I 	 M a t h e m a t i c s 	
G e n e r a l 	 I n s t r u c t i o n :
T h i s 	 q u e s t i o n 	 p a p e r 	 c o n t a i n s 	 8 	 q u e s t i o n s .
W r i t e 	 a n s w e r s 	 n e a t l y 	 a n d 	 l e g i b l y .
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 .
M a r k s 	 f o r 	 e a c h 	 q u e s t i o n 	 a r e 	 i n d i c a t e d 	 a g a i n s t 	 i t .
1 . 	 a . 	 I 	 t h i n k 	 o f 	 a 	 n u m b e r 	 a n d 	 s u b t r a c t 	 	 f r o m 	 i t . 	 I 	 m u l t i p l y 	 t h e 	 r e s u l t 	 b y 	 8 	 a n d 	 t h e
r e s u l t 	 I 	 f i n a l l y 	 o b t a i n 	 i s 	 3 	 t i m e s 	 t h e 	 s a m e 	 n u m b e r 	 I 	 t h o u g h t 	 o f . 	 T h e 	 n u m b e r 	 i s 	 _ _ _ _ _ _ . 	 	 	 	 	 	
( 1 )
b . 	 M u l t i p l i c a t i v e 	 i n v e r s e 	 o f 	 	 i s 	 _ _ _ _ _ _ _ _ _ _ _ _ . ( 1 )
S o l . 	 ( a ) 	 4
( b ) 	
2 . 	 a . 	 ( - 	 1 )
1 1 2
	 × 	 ( - 	 1 )
1 1 3
	 = 	 _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ . 	 	 	 	 	 ( 1 )
b . 	 U s u a l 	 f o r m 	 o f 	 1 . 2 5 	 × 	 1 0
- 6
	 i s 	 _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ . ( 1 )
S o l . 	 ( a ) 	 - 1
( b ) 	 0 . 0 0 0 0 0 1 2 5
3 . 	 P r o d u c t 	 o f 	 t w o 	 r a t i o n a l 	 n u m b e r s 	 i s 	 	 I f 	 o n e 	 o f 	 t h e m 	 i s 	 	 f i n d 	 t h e 	 o t h e r
n u m b e r . 	 ( 2 )
Page 2


Q u e s t i o n 	 P a p e r 	 	 2 0 1 6 - 2 0 1 7
C B S E 	 C l a s s 	 V I I I 	 M a t h e m a t i c s 	
G e n e r a l 	 I n s t r u c t i o n :
T h i s 	 q u e s t i o n 	 p a p e r 	 c o n t a i n s 	 8 	 q u e s t i o n s .
W r i t e 	 a n s w e r s 	 n e a t l y 	 a n d 	 l e g i b l y .
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 .
M a r k s 	 f o r 	 e a c h 	 q u e s t i o n 	 a r e 	 i n d i c a t e d 	 a g a i n s t 	 i t .
1 . 	 a . 	 I 	 t h i n k 	 o f 	 a 	 n u m b e r 	 a n d 	 s u b t r a c t 	 	 f r o m 	 i t . 	 I 	 m u l t i p l y 	 t h e 	 r e s u l t 	 b y 	 8 	 a n d 	 t h e
r e s u l t 	 I 	 f i n a l l y 	 o b t a i n 	 i s 	 3 	 t i m e s 	 t h e 	 s a m e 	 n u m b e r 	 I 	 t h o u g h t 	 o f . 	 T h e 	 n u m b e r 	 i s 	 _ _ _ _ _ _ . 	 	 	 	 	 	
( 1 )
b . 	 M u l t i p l i c a t i v e 	 i n v e r s e 	 o f 	 	 i s 	 _ _ _ _ _ _ _ _ _ _ _ _ . ( 1 )
S o l . 	 ( a ) 	 4
( b ) 	
2 . 	 a . 	 ( - 	 1 )
1 1 2
	 × 	 ( - 	 1 )
1 1 3
	 = 	 _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ . 	 	 	 	 	 ( 1 )
b . 	 U s u a l 	 f o r m 	 o f 	 1 . 2 5 	 × 	 1 0
- 6
	 i s 	 _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ . ( 1 )
S o l . 	 ( a ) 	 - 1
( b ) 	 0 . 0 0 0 0 0 1 2 5
3 . 	 P r o d u c t 	 o f 	 t w o 	 r a t i o n a l 	 n u m b e r s 	 i s 	 	 I f 	 o n e 	 o f 	 t h e m 	 i s 	 	 f i n d 	 t h e 	 o t h e r
n u m b e r . 	 ( 2 )
S o l . 	 p r o d u c t 	 o f 	 t w o 	 r a t i o n a l 	 n u m b e r s 	
O n e 	 n u m b e r 	
S e c o n d 	 n u m b e r 	 = 	 P r o d u c t 	 ÷ 	 O n e 	 n u m b e r
? 	 S e c o n d 	 r a t i o n a l 	 n u m b e r 	
4 . 	 B y 	 w h a t 	 n u m b e r 	 s h o u l d 	 	 b e 	 d i v i d e d 	 s o 	 t h a t 	 t h e 	 q u o t i e n t 	 b e c o m e s 	 1 2 5 ? 	 ( 2 )
S o l . 	 L e t 	 	 b e 	 d i v i d e 	 b y 	 x
	 	 	 	 	 	 	 	 	 	 	 	 	 	
	 o r 	
Page 3


Q u e s t i o n 	 P a p e r 	 	 2 0 1 6 - 2 0 1 7
C B S E 	 C l a s s 	 V I I I 	 M a t h e m a t i c s 	
G e n e r a l 	 I n s t r u c t i o n :
T h i s 	 q u e s t i o n 	 p a p e r 	 c o n t a i n s 	 8 	 q u e s t i o n s .
W r i t e 	 a n s w e r s 	 n e a t l y 	 a n d 	 l e g i b l y .
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 .
M a r k s 	 f o r 	 e a c h 	 q u e s t i o n 	 a r e 	 i n d i c a t e d 	 a g a i n s t 	 i t .
1 . 	 a . 	 I 	 t h i n k 	 o f 	 a 	 n u m b e r 	 a n d 	 s u b t r a c t 	 	 f r o m 	 i t . 	 I 	 m u l t i p l y 	 t h e 	 r e s u l t 	 b y 	 8 	 a n d 	 t h e
r e s u l t 	 I 	 f i n a l l y 	 o b t a i n 	 i s 	 3 	 t i m e s 	 t h e 	 s a m e 	 n u m b e r 	 I 	 t h o u g h t 	 o f . 	 T h e 	 n u m b e r 	 i s 	 _ _ _ _ _ _ . 	 	 	 	 	 	
( 1 )
b . 	 M u l t i p l i c a t i v e 	 i n v e r s e 	 o f 	 	 i s 	 _ _ _ _ _ _ _ _ _ _ _ _ . ( 1 )
S o l . 	 ( a ) 	 4
( b ) 	
2 . 	 a . 	 ( - 	 1 )
1 1 2
	 × 	 ( - 	 1 )
1 1 3
	 = 	 _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ . 	 	 	 	 	 ( 1 )
b . 	 U s u a l 	 f o r m 	 o f 	 1 . 2 5 	 × 	 1 0
- 6
	 i s 	 _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ . ( 1 )
S o l . 	 ( a ) 	 - 1
( b ) 	 0 . 0 0 0 0 0 1 2 5
3 . 	 P r o d u c t 	 o f 	 t w o 	 r a t i o n a l 	 n u m b e r s 	 i s 	 	 I f 	 o n e 	 o f 	 t h e m 	 i s 	 	 f i n d 	 t h e 	 o t h e r
n u m b e r . 	 ( 2 )
S o l . 	 p r o d u c t 	 o f 	 t w o 	 r a t i o n a l 	 n u m b e r s 	
O n e 	 n u m b e r 	
S e c o n d 	 n u m b e r 	 = 	 P r o d u c t 	 ÷ 	 O n e 	 n u m b e r
? 	 S e c o n d 	 r a t i o n a l 	 n u m b e r 	
4 . 	 B y 	 w h a t 	 n u m b e r 	 s h o u l d 	 	 b e 	 d i v i d e d 	 s o 	 t h a t 	 t h e 	 q u o t i e n t 	 b e c o m e s 	 1 2 5 ? 	 ( 2 )
S o l . 	 L e t 	 	 b e 	 d i v i d e 	 b y 	 x
	 	 	 	 	 	 	 	 	 	 	 	 	 	
	 o r 	
	 s h o u l d 	 b e 	 d i v i d e d 	 b y 	
5 . 	 F i n d 	 s i x 	 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 	 . 	 ( 3 )
S o l . 	 	
S i x 	 r a t i o n a l 	 n u m b e r 	 b e t w e e n 	 	 a n d 	 	 a r e : 	 	 ( a n y 	 s i x )
6 . 	 I f 	 f i n d 	 x
3
. 	 ( 3 )
S o l . 	
	 	 	 	 	 	 	 	
	 7 . 	 A 	 g i r l 	 i n s t e a d 	 o f 	 d i s t r i b u t i n g 	 s w e e t s 	 o n 	 h e r 	 b i r t h d a y 	 d e c i d e s 	 t o 	 d i s t r i b u t e 	 3 2 0 	 a p p l e s
i n 	 v a r i o u s 	 o r g a n i z a t i o n s . 	 H a l f 	 t h e 	 a p p l e s 	 s h e 	 d i s t r i b u t e d 	 i n 	 a n 	 o r p h a n a g e , 	 t h r e e 	 f o u r t h s
o f 	 t h e 	 r e m a i n i n g 	 w e r e 	 d i s t r i b u t e d 	 i n 	 a 	 s c h o o l 	 f o r 	 d i f f e r e n t l y - a b l e d 	 a n d 	 r e m a i n i n g
a p p l e s 	 w e r e 	 d i s t r i b u t e d 	 t o 	 t h e 	 p o o r 	 c h i l d r e n . 	 F i n d 	 t h e 	 n u m b e r 	 o f 	 a p p l e s 	 s h e 	 d i s t r i b u t e d
t o 	 t h e 	 p o o r 	 c h i l d r e n . 	 E x p l a i n 	 a n y 	 t w o 	 v a l u e s 	 s h o w n 	 b y 	 h e r . 	 ( 3 	 + 	 1 )
S o l . 	 T o t a l 	 a p p l e s 	 = 	 3 2 0
G i v e n 	 t o 	 o r p h a n a g e 	
Page 4


Q u e s t i o n 	 P a p e r 	 	 2 0 1 6 - 2 0 1 7
C B S E 	 C l a s s 	 V I I I 	 M a t h e m a t i c s 	
G e n e r a l 	 I n s t r u c t i o n :
T h i s 	 q u e s t i o n 	 p a p e r 	 c o n t a i n s 	 8 	 q u e s t i o n s .
W r i t e 	 a n s w e r s 	 n e a t l y 	 a n d 	 l e g i b l y .
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 .
M a r k s 	 f o r 	 e a c h 	 q u e s t i o n 	 a r e 	 i n d i c a t e d 	 a g a i n s t 	 i t .
1 . 	 a . 	 I 	 t h i n k 	 o f 	 a 	 n u m b e r 	 a n d 	 s u b t r a c t 	 	 f r o m 	 i t . 	 I 	 m u l t i p l y 	 t h e 	 r e s u l t 	 b y 	 8 	 a n d 	 t h e
r e s u l t 	 I 	 f i n a l l y 	 o b t a i n 	 i s 	 3 	 t i m e s 	 t h e 	 s a m e 	 n u m b e r 	 I 	 t h o u g h t 	 o f . 	 T h e 	 n u m b e r 	 i s 	 _ _ _ _ _ _ . 	 	 	 	 	 	
( 1 )
b . 	 M u l t i p l i c a t i v e 	 i n v e r s e 	 o f 	 	 i s 	 _ _ _ _ _ _ _ _ _ _ _ _ . ( 1 )
S o l . 	 ( a ) 	 4
( b ) 	
2 . 	 a . 	 ( - 	 1 )
1 1 2
	 × 	 ( - 	 1 )
1 1 3
	 = 	 _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ . 	 	 	 	 	 ( 1 )
b . 	 U s u a l 	 f o r m 	 o f 	 1 . 2 5 	 × 	 1 0
- 6
	 i s 	 _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ . ( 1 )
S o l . 	 ( a ) 	 - 1
( b ) 	 0 . 0 0 0 0 0 1 2 5
3 . 	 P r o d u c t 	 o f 	 t w o 	 r a t i o n a l 	 n u m b e r s 	 i s 	 	 I f 	 o n e 	 o f 	 t h e m 	 i s 	 	 f i n d 	 t h e 	 o t h e r
n u m b e r . 	 ( 2 )
S o l . 	 p r o d u c t 	 o f 	 t w o 	 r a t i o n a l 	 n u m b e r s 	
O n e 	 n u m b e r 	
S e c o n d 	 n u m b e r 	 = 	 P r o d u c t 	 ÷ 	 O n e 	 n u m b e r
? 	 S e c o n d 	 r a t i o n a l 	 n u m b e r 	
4 . 	 B y 	 w h a t 	 n u m b e r 	 s h o u l d 	 	 b e 	 d i v i d e d 	 s o 	 t h a t 	 t h e 	 q u o t i e n t 	 b e c o m e s 	 1 2 5 ? 	 ( 2 )
S o l . 	 L e t 	 	 b e 	 d i v i d e 	 b y 	 x
	 	 	 	 	 	 	 	 	 	 	 	 	 	
	 o r 	
	 s h o u l d 	 b e 	 d i v i d e d 	 b y 	
5 . 	 F i n d 	 s i x 	 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 	 . 	 ( 3 )
S o l . 	 	
S i x 	 r a t i o n a l 	 n u m b e r 	 b e t w e e n 	 	 a n d 	 	 a r e : 	 	 ( a n y 	 s i x )
6 . 	 I f 	 f i n d 	 x
3
. 	 ( 3 )
S o l . 	
	 	 	 	 	 	 	 	
	 7 . 	 A 	 g i r l 	 i n s t e a d 	 o f 	 d i s t r i b u t i n g 	 s w e e t s 	 o n 	 h e r 	 b i r t h d a y 	 d e c i d e s 	 t o 	 d i s t r i b u t e 	 3 2 0 	 a p p l e s
i n 	 v a r i o u s 	 o r g a n i z a t i o n s . 	 H a l f 	 t h e 	 a p p l e s 	 s h e 	 d i s t r i b u t e d 	 i n 	 a n 	 o r p h a n a g e , 	 t h r e e 	 f o u r t h s
o f 	 t h e 	 r e m a i n i n g 	 w e r e 	 d i s t r i b u t e d 	 i n 	 a 	 s c h o o l 	 f o r 	 d i f f e r e n t l y - a b l e d 	 a n d 	 r e m a i n i n g
a p p l e s 	 w e r e 	 d i s t r i b u t e d 	 t o 	 t h e 	 p o o r 	 c h i l d r e n . 	 F i n d 	 t h e 	 n u m b e r 	 o f 	 a p p l e s 	 s h e 	 d i s t r i b u t e d
t o 	 t h e 	 p o o r 	 c h i l d r e n . 	 E x p l a i n 	 a n y 	 t w o 	 v a l u e s 	 s h o w n 	 b y 	 h e r . 	 ( 3 	 + 	 1 )
S o l . 	 T o t a l 	 a p p l e s 	 = 	 3 2 0
G i v e n 	 t o 	 o r p h a n a g e 	
G i v e n 	 t o 	 s c h o o l 	 	
3 2 0 	 = 	 1 6 0 	 + 	 1 2 0 	 + 	 x
x 	 = 	 4 0
S h e 	 d i s t r i b u t e d 	 4 0 	 a p p l e s 	 t o 	 t h e 	 p o o r .
V a l u e : 	 A n y 	 t w o
8 . 	 a . 	 F i n d 	 t h e 	 v a l u e 	 o f 	 t h e 	 v a r i a b l e : 	 	 	 ( 3 	 + 	 1 )
b . 	 T h e 	 s i z e 	 o f 	 a 	 p l a n t 	 c e l l 	 i s 	 a p p r o x i m a t e l y 	 0 . 0 0 0 0 1 3 m . 	 C o n v e r t 	 t h e 	 s i z e 	 i n 	 s t a n d a r d
f o r m .
S o l . 	 ( a ) 	
	 	
( b ) 	 S i z e 	 o f 	 c e l l 	 = 	 1 . 3 	 × 	 1 0
- 5
	 m .
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