CBSE Past Year Paper Session (2016-2017) Set - 2, 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 - 2, 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 . 	 T h e 	 s t a n d a r d 	 f o r m 	 o f 	 	 i s 	 _ _ _ _ _ _ _ _ _ _ . 	 ( 1 )
b . 	 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 	 5 	 f r o m 	 f o u r 	 t i m e s 	 t h e 	 n u m b e r . 	 T h e 	 r e s u l t 	 i s 	 3 	 m o r e
t h a n 	 t w i c e 	 t h e 	 n u m b e r 	 t h a t 	 I 	 t h o u g h t 	 o f . 	 T h e 	 n u m b e r 	 i s 	 _ _ _ _ _ _ _ _ _ 	 . ( 1 )
S o l . 	 ( a ) 	
( b ) 	 4
2 . 	 a . 	 ( 2
- 1
	 + 3
- 1
	 + 	 4
- 1
	 + 	 5
- 1
) 0 	 = 	 _ _ _ _ _ _ _ _ _ _ . 	 ( 1 )
b . 	 D i a m e t e r 	 o f 	 t h e 	 s u n 	 i s 	 1 4 0 0 0 	 × 	 1 0
5
m , 	 t h e 	 d i a m e t e r 	 i n 	 s t a n d a r d 	 f o r m 	 i s 	 _ _ _ _ _ _ _ _ _ . ( 1 )
S o l . 	 ( a ) 	 1
( b ) 	 1 . 4 	 × 	 1 0
9
3 . 	 F i n d 	 t h e 	 a r e a 	 o f 	 a 	 r e c t a n g u l a r 	 b o a r d 	 w h i c h 	 i s 	 m 	 l o n g 	 a n d 	 m 	 w i d e . 	 ( 2 )
S o l . 	 L e n g t h 	 o f 	 b o a r d 	
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 . 	 T h e 	 s t a n d a r d 	 f o r m 	 o f 	 	 i s 	 _ _ _ _ _ _ _ _ _ _ . 	 ( 1 )
b . 	 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 	 5 	 f r o m 	 f o u r 	 t i m e s 	 t h e 	 n u m b e r . 	 T h e 	 r e s u l t 	 i s 	 3 	 m o r e
t h a n 	 t w i c e 	 t h e 	 n u m b e r 	 t h a t 	 I 	 t h o u g h t 	 o f . 	 T h e 	 n u m b e r 	 i s 	 _ _ _ _ _ _ _ _ _ 	 . ( 1 )
S o l . 	 ( a ) 	
( b ) 	 4
2 . 	 a . 	 ( 2
- 1
	 + 3
- 1
	 + 	 4
- 1
	 + 	 5
- 1
) 0 	 = 	 _ _ _ _ _ _ _ _ _ _ . 	 ( 1 )
b . 	 D i a m e t e r 	 o f 	 t h e 	 s u n 	 i s 	 1 4 0 0 0 	 × 	 1 0
5
m , 	 t h e 	 d i a m e t e r 	 i n 	 s t a n d a r d 	 f o r m 	 i s 	 _ _ _ _ _ _ _ _ _ . ( 1 )
S o l . 	 ( a ) 	 1
( b ) 	 1 . 4 	 × 	 1 0
9
3 . 	 F i n d 	 t h e 	 a r e a 	 o f 	 a 	 r e c t a n g u l a r 	 b o a r d 	 w h i c h 	 i s 	 m 	 l o n g 	 a n d 	 m 	 w i d e . 	 ( 2 )
S o l . 	 L e n g t h 	 o f 	 b o a r d 	
W i d t h 	 o f 	 b o a r d 	 	
4 . 	 B y 	 w h a t 	 n u m b e r 	 s h o u l d 	 	 b e 	 m u l t i p l i e d 	 t o 	 g e t 	 t h e 	 p r o d u c t 	 a s 	 ? 	 ( 2 )
S o l . 	 L e t 	 	 b e 	 m u l t i p l i e d 	 b y 	 x
	 	 	 	 	 	 	 	
	 S h o u l d 	 b e 	 m u l t i p l i e d 	 b y 	 	 t o 	 g e t 	
5 . 	 F i n d 	 6 	 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 . 	
6 	 R a t i o n a l 	 n u m b e r s 	 b e t w e e n 	 - 3 	 a n d 	 5 	 a r e 	 	 ( a n y 	 6 ) 	 ( 3 )
a . 	 S o l v e 	 f o r 	 x 	 : 	 3
3 x + 3
	 = 	 9
x + 4
.
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 . 	 T h e 	 s t a n d a r d 	 f o r m 	 o f 	 	 i s 	 _ _ _ _ _ _ _ _ _ _ . 	 ( 1 )
b . 	 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 	 5 	 f r o m 	 f o u r 	 t i m e s 	 t h e 	 n u m b e r . 	 T h e 	 r e s u l t 	 i s 	 3 	 m o r e
t h a n 	 t w i c e 	 t h e 	 n u m b e r 	 t h a t 	 I 	 t h o u g h t 	 o f . 	 T h e 	 n u m b e r 	 i s 	 _ _ _ _ _ _ _ _ _ 	 . ( 1 )
S o l . 	 ( a ) 	
( b ) 	 4
2 . 	 a . 	 ( 2
- 1
	 + 3
- 1
	 + 	 4
- 1
	 + 	 5
- 1
) 0 	 = 	 _ _ _ _ _ _ _ _ _ _ . 	 ( 1 )
b . 	 D i a m e t e r 	 o f 	 t h e 	 s u n 	 i s 	 1 4 0 0 0 	 × 	 1 0
5
m , 	 t h e 	 d i a m e t e r 	 i n 	 s t a n d a r d 	 f o r m 	 i s 	 _ _ _ _ _ _ _ _ _ . ( 1 )
S o l . 	 ( a ) 	 1
( b ) 	 1 . 4 	 × 	 1 0
9
3 . 	 F i n d 	 t h e 	 a r e a 	 o f 	 a 	 r e c t a n g u l a r 	 b o a r d 	 w h i c h 	 i s 	 m 	 l o n g 	 a n d 	 m 	 w i d e . 	 ( 2 )
S o l . 	 L e n g t h 	 o f 	 b o a r d 	
W i d t h 	 o f 	 b o a r d 	 	
4 . 	 B y 	 w h a t 	 n u m b e r 	 s h o u l d 	 	 b e 	 m u l t i p l i e d 	 t o 	 g e t 	 t h e 	 p r o d u c t 	 a s 	 ? 	 ( 2 )
S o l . 	 L e t 	 	 b e 	 m u l t i p l i e d 	 b y 	 x
	 	 	 	 	 	 	 	
	 S h o u l d 	 b e 	 m u l t i p l i e d 	 b y 	 	 t o 	 g e t 	
5 . 	 F i n d 	 6 	 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 . 	
6 	 R a t i o n a l 	 n u m b e r s 	 b e t w e e n 	 - 3 	 a n d 	 5 	 a r e 	 	 ( a n y 	 6 ) 	 ( 3 )
a . 	 S o l v e 	 f o r 	 x 	 : 	 3
3 x + 3
	 = 	 9
x + 4
.
b . 	 F i n d 	 t h e 	 v a l u e 	 o f 	
S o l . 	 ( a ) 	 3
3 x + 3
	 = 	 ( 3
2
)
x + 4
3
3 x + 3
	 = 	 3
2 x + 8
A s 	 b a s e s 	 a r e 	 s a m e 	 e q u a t i o n 	 p o w e r s
3 x 	 + 	 3 	 = 	 2 x 	 + 	 8
( b ) 	 	 	 	 	 	 	 	 	 	
	 	 	 	 	 	 	 	 	
7 . 	 R e e n a 	 w a n t s 	 t o 	 d i s t r i b u t e 	 c h o c o l a t e s 	 o n 	 h e r 	 b i r t h d a y 	 t o 	 c h i l d r e n 	 s t a y i n g 	 i n 	 a n
o r p h a n a g e 	 s o 	 t h a t 	 t h e y 	 a l s o 	 f e e l 	 g o o d . 	 I f 	 t h e 	 c o s t 	 o f 	 a 	 c h o c o l a t e 	 i s 	 ` 1 0 	 a n d 	 t h e r e 	 a r e 	 5 0
c h i l d r e n , 	 h o w 	 m u c h 	 m o n e y 	 w o u l d 	 s h e 	 n e e d , 	 i f 	 s h e 	 g i v e s 	 2 	 c h o c o l a t e s 	 t o 	 e a c h 	 c h i l d ?
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 )
S o l . 	 N u m b e r 	 o f 	 c h i l d r e n 	 = 	 5 0
C h o c o l a t e 	 g i v e n 	 t o 	 e a c h 	 c h i l d r e n 	 = 	 2
T o t a l 	 c h o c o l a t e 	 r e q u i r e d 	 = 	 1 0 0
C o s t 	 o f 	 1 0 0 	 c h o c o l a t e s 	 = 	 1 0 0 	 × 	 1 0 	 = 	 R s 1 0 0 0
V a l u e s : 	 A n y 	 t w o
8 . 	 a . 	 F i n d 	 t h e 	 v a l u e 	 o f 	 x 	 s u c h 	 t h a t 	 ( 3
- 1
	 + 	 6
- 1
	 + 	 9
- 1
	 + 	 1 2
- 1
)
x
	 	 ( 3 )
b . 	 1 	 m i c r o n 	 i s 	 e q u a l 	 t o 	 m . 	 E x p r e s s 	 t h i s 	 s t a t e m e n t 	 i n 	 s t a n d a r d 	 f o r m .
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 . 	 T h e 	 s t a n d a r d 	 f o r m 	 o f 	 	 i s 	 _ _ _ _ _ _ _ _ _ _ . 	 ( 1 )
b . 	 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 	 5 	 f r o m 	 f o u r 	 t i m e s 	 t h e 	 n u m b e r . 	 T h e 	 r e s u l t 	 i s 	 3 	 m o r e
t h a n 	 t w i c e 	 t h e 	 n u m b e r 	 t h a t 	 I 	 t h o u g h t 	 o f . 	 T h e 	 n u m b e r 	 i s 	 _ _ _ _ _ _ _ _ _ 	 . ( 1 )
S o l . 	 ( a ) 	
( b ) 	 4
2 . 	 a . 	 ( 2
- 1
	 + 3
- 1
	 + 	 4
- 1
	 + 	 5
- 1
) 0 	 = 	 _ _ _ _ _ _ _ _ _ _ . 	 ( 1 )
b . 	 D i a m e t e r 	 o f 	 t h e 	 s u n 	 i s 	 1 4 0 0 0 	 × 	 1 0
5
m , 	 t h e 	 d i a m e t e r 	 i n 	 s t a n d a r d 	 f o r m 	 i s 	 _ _ _ _ _ _ _ _ _ . ( 1 )
S o l . 	 ( a ) 	 1
( b ) 	 1 . 4 	 × 	 1 0
9
3 . 	 F i n d 	 t h e 	 a r e a 	 o f 	 a 	 r e c t a n g u l a r 	 b o a r d 	 w h i c h 	 i s 	 m 	 l o n g 	 a n d 	 m 	 w i d e . 	 ( 2 )
S o l . 	 L e n g t h 	 o f 	 b o a r d 	
W i d t h 	 o f 	 b o a r d 	 	
4 . 	 B y 	 w h a t 	 n u m b e r 	 s h o u l d 	 	 b e 	 m u l t i p l i e d 	 t o 	 g e t 	 t h e 	 p r o d u c t 	 a s 	 ? 	 ( 2 )
S o l . 	 L e t 	 	 b e 	 m u l t i p l i e d 	 b y 	 x
	 	 	 	 	 	 	 	
	 S h o u l d 	 b e 	 m u l t i p l i e d 	 b y 	 	 t o 	 g e t 	
5 . 	 F i n d 	 6 	 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 . 	
6 	 R a t i o n a l 	 n u m b e r s 	 b e t w e e n 	 - 3 	 a n d 	 5 	 a r e 	 	 ( a n y 	 6 ) 	 ( 3 )
a . 	 S o l v e 	 f o r 	 x 	 : 	 3
3 x + 3
	 = 	 9
x + 4
.
b . 	 F i n d 	 t h e 	 v a l u e 	 o f 	
S o l . 	 ( a ) 	 3
3 x + 3
	 = 	 ( 3
2
)
x + 4
3
3 x + 3
	 = 	 3
2 x + 8
A s 	 b a s e s 	 a r e 	 s a m e 	 e q u a t i o n 	 p o w e r s
3 x 	 + 	 3 	 = 	 2 x 	 + 	 8
( b ) 	 	 	 	 	 	 	 	 	 	
	 	 	 	 	 	 	 	 	
7 . 	 R e e n a 	 w a n t s 	 t o 	 d i s t r i b u t e 	 c h o c o l a t e s 	 o n 	 h e r 	 b i r t h d a y 	 t o 	 c h i l d r e n 	 s t a y i n g 	 i n 	 a n
o r p h a n a g e 	 s o 	 t h a t 	 t h e y 	 a l s o 	 f e e l 	 g o o d . 	 I f 	 t h e 	 c o s t 	 o f 	 a 	 c h o c o l a t e 	 i s 	 ` 1 0 	 a n d 	 t h e r e 	 a r e 	 5 0
c h i l d r e n , 	 h o w 	 m u c h 	 m o n e y 	 w o u l d 	 s h e 	 n e e d , 	 i f 	 s h e 	 g i v e s 	 2 	 c h o c o l a t e s 	 t o 	 e a c h 	 c h i l d ?
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 )
S o l . 	 N u m b e r 	 o f 	 c h i l d r e n 	 = 	 5 0
C h o c o l a t e 	 g i v e n 	 t o 	 e a c h 	 c h i l d r e n 	 = 	 2
T o t a l 	 c h o c o l a t e 	 r e q u i r e d 	 = 	 1 0 0
C o s t 	 o f 	 1 0 0 	 c h o c o l a t e s 	 = 	 1 0 0 	 × 	 1 0 	 = 	 R s 1 0 0 0
V a l u e s : 	 A n y 	 t w o
8 . 	 a . 	 F i n d 	 t h e 	 v a l u e 	 o f 	 x 	 s u c h 	 t h a t 	 ( 3
- 1
	 + 	 6
- 1
	 + 	 9
- 1
	 + 	 1 2
- 1
)
x
	 	 ( 3 )
b . 	 1 	 m i c r o n 	 i s 	 e q u a l 	 t o 	 m . 	 E x p r e s s 	 t h i s 	 s t a t e m e n t 	 i n 	 s t a n d a r d 	 f o r m .
S o l . 	 ( a ) 	 	 	 	 	 	 	 	 	 	 	
	 	 	 	 	 	 	 	 	 	 	 	
	
( b ) 	 1 0
- 6
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