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[ T i m e 	 : 	 3 H r s . 	 ] [ M M : 	 8 0 ]
N o t e :
1 . 	 T h e 	 p a p e r 	 c o n t a i n s 	 3 0 	 q u e s t i o n s 	 w i t h 	 t h r e e 	 s e c t i o n s 	 A , 	 B 	 & 	 C . 	 S e c t i o n 	 A 	 c o n t a i n s 	 1 0
q u e s t i o n s 	 o f 	 1 	 m a r k 	 e a c h , 	 S e c t i o n 	 B 	 c o n t a i n s 	 1 0 	 q u e s t i o n s 	 o f 	 3 	 m a r k s 	 e a c h 	 a n d 	 S e c t i o n 	 C
c o n t a i n s 	 1 0 	 q u e s t i o n s 	 o f 	 4 	 m a r k s 	 e a c h .
2 . 	 A l l 	 q u e s t i o n s 	 a r e 	 c o m p u l s o r y .
S e c t i o n 	 : 	 A
1 . 	 E x p r e s s 	 3 	 : 	 8 	 a s 	 a 	 p e r c e n t a g e .
2 . 	 I f 	 y 	 v a r i e s 	 i n v e r s e l y 	 a s 	 x , 	 a n d 	 i f 	 y = 4 	 w h e n 	 x = 7 2 , 	 f i n d 	 t h e 	 c o n s t a n t 	 o f 	 v a r i a t i o n .
3 . 	 F i n d 	 t h e 	 a r e a 	 o f 	 t h e 	 t r a p e z i u m 	 i f 	 h e i g h t 	 i s 	 7 	 c m 	 a n d 	 t w o 	 p a r a l l e l 	 s i d e s 	 a r e 	 8 	 c m 	 a n d 	 1 0 	 c m .
4 . 	 F i n d 	 t h e 	 s u r f a c e 	 a r e a 	 o f 	 a 	 c u b e 	 w h o s e 	 e d g e 	 i s 	 1 1 	 c m .
5 . 	 A 	 d i e 	 i s 	 r o l l e d 	 o n c e . 	 W h a t 	 i s 	 t h e 	 p r o b a b i l i t y 	 o f 	 r o l l i n g
a . 	 3
b . 	 a n 	 e v e n 	 n u m b e r ?
6 . 	 U s i n g 	 t h e 	 d i v i s i b i l i t y 	 r u l e , 	 w r i t e 	 w h i c h 	 o f 	 t h e 	 f o l l o w i n g 	 n u m b e r s 	 a r e 	 d i v i s i b l e 	 b y 	 9 ?
7 1 9 , 	 9 3 6
7 . 	 S o l v e 	 : 	 4 ( x + 2 ) - 2 ( x - 1 ) = 3 x - 3
8 . 	 W h a t 	 n u m b e r 	 s h o u l d 	 b e 	 a d d e d 	 t o 	 	 t o 	 g e t 	 ?
9 . 	 W r i t e 	 0 . 0 0 0 5 4 3 	 i n 	 s c i e n t i f i c 	 n o t a t i o n .
1 0 . 	 N a m e 	 t h e 	 s o l i d s 	 t h a t 	 h a v e
i . 	 4 	 f a c e s
i i . 	 6 	 f a c e s
S e c t i o n 	 : 	 B
1 1 . 	 A 	 s h o p k e e p e r 	 s o l d 	 t w o 	 p a i r s 	 o f 	 j e a n s 	 f o r 	 R s . 	 7 2 0 	 e a c h , 	 g a i n i n g 	 2 0 % 	 o n 	 o n e 	 a n d 	 l o s i n g 	 2 0 %
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[ T i m e 	 : 	 3 H r s . 	 ] [ M M : 	 8 0 ]
N o t e :
1 . 	 T h e 	 p a p e r 	 c o n t a i n s 	 3 0 	 q u e s t i o n s 	 w i t h 	 t h r e e 	 s e c t i o n s 	 A , 	 B 	 & 	 C . 	 S e c t i o n 	 A 	 c o n t a i n s 	 1 0
q u e s t i o n s 	 o f 	 1 	 m a r k 	 e a c h , 	 S e c t i o n 	 B 	 c o n t a i n s 	 1 0 	 q u e s t i o n s 	 o f 	 3 	 m a r k s 	 e a c h 	 a n d 	 S e c t i o n 	 C
c o n t a i n s 	 1 0 	 q u e s t i o n s 	 o f 	 4 	 m a r k s 	 e a c h .
2 . 	 A l l 	 q u e s t i o n s 	 a r e 	 c o m p u l s o r y .
S e c t i o n 	 : 	 A
1 . 	 E x p r e s s 	 3 	 : 	 8 	 a s 	 a 	 p e r c e n t a g e .
2 . 	 I f 	 y 	 v a r i e s 	 i n v e r s e l y 	 a s 	 x , 	 a n d 	 i f 	 y = 4 	 w h e n 	 x = 7 2 , 	 f i n d 	 t h e 	 c o n s t a n t 	 o f 	 v a r i a t i o n .
3 . 	 F i n d 	 t h e 	 a r e a 	 o f 	 t h e 	 t r a p e z i u m 	 i f 	 h e i g h t 	 i s 	 7 	 c m 	 a n d 	 t w o 	 p a r a l l e l 	 s i d e s 	 a r e 	 8 	 c m 	 a n d 	 1 0 	 c m .
4 . 	 F i n d 	 t h e 	 s u r f a c e 	 a r e a 	 o f 	 a 	 c u b e 	 w h o s e 	 e d g e 	 i s 	 1 1 	 c m .
5 . 	 A 	 d i e 	 i s 	 r o l l e d 	 o n c e . 	 W h a t 	 i s 	 t h e 	 p r o b a b i l i t y 	 o f 	 r o l l i n g
a . 	 3
b . 	 a n 	 e v e n 	 n u m b e r ?
6 . 	 U s i n g 	 t h e 	 d i v i s i b i l i t y 	 r u l e , 	 w r i t e 	 w h i c h 	 o f 	 t h e 	 f o l l o w i n g 	 n u m b e r s 	 a r e 	 d i v i s i b l e 	 b y 	 9 ?
7 1 9 , 	 9 3 6
7 . 	 S o l v e 	 : 	 4 ( x + 2 ) - 2 ( x - 1 ) = 3 x - 3
8 . 	 W h a t 	 n u m b e r 	 s h o u l d 	 b e 	 a d d e d 	 t o 	 	 t o 	 g e t 	 ?
9 . 	 W r i t e 	 0 . 0 0 0 5 4 3 	 i n 	 s c i e n t i f i c 	 n o t a t i o n .
1 0 . 	 N a m e 	 t h e 	 s o l i d s 	 t h a t 	 h a v e
i . 	 4 	 f a c e s
i i . 	 6 	 f a c e s
S e c t i o n 	 : 	 B
1 1 . 	 A 	 s h o p k e e p e r 	 s o l d 	 t w o 	 p a i r s 	 o f 	 j e a n s 	 f o r 	 R s . 	 7 2 0 	 e a c h , 	 g a i n i n g 	 2 0 % 	 o n 	 o n e 	 a n d 	 l o s i n g 	 2 0 %
o n 	 t h e 	 o t h e r . 	 F i n d 	 h i s 	 g a i n 	 o r 	 l o s s 	 % .
1 2 . 	 H o w 	 m u c h 	 w i l l 	 R s 	 2 5 6 	 a m o u n t 	 t o 	 i n 	 o n e 	 y e a r 	 a t 	 	 % 	 p e r 	 a n n u m , 	 w h e n 	 t h e 	 i n t e r e s t 	 i s
c o m p o u n d e d 	 h a l f - y e a r l y ?
1 3 . 	 A 	 s t o c k 	 o f 	 f o o d 	 g r a i n s 	 i s 	 e n o u g h 	 f o r 	 4 0 0 	 p e r s o n s 	 f o r 	 9 	 d a y s . 	 H o w 	 l o n g 	 w i l l 	 t h e 	 s a m e 	 s t o c k
l a s t 	 f o r 	 3 0 0 	 p e r s o n s ?
1 4 . 	 A , 	 B 	 a n d 	 C 	 c a n 	 d o 	 a 	 p i e c e 	 o f 	 w o r k 	 i n 	 1 0 	 d a y s ; 	 A 	 a l o n e 	 c a n 	 d o 	 i t 	 i n 	 4 0 	 d a y s 	 a n d 	 B 	 a l o n e 	 c a n
d o 	 i t 	 i n 	 3 0 	 d a y s . 	 I n 	 h o w 	 m a n y 	 d a y s 	 w i l l 	 C 	 a l o n e 	 d o 	 t h e 	 s a m e 	 w o r k ?
1 5 . 	 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 	 B C 	 = 	 6 	 c m , 	 C D 	 = 	 6 	 c m , 	 D A 	 = 	 4 	 c m , 	 a n d 	
1 6 . 	 I n 	 a 	 s h o w e r , 	 5 	 c m 	 o f 	 r a i n 	 f a l l s . 	 F i n d 	 t h e 	 v o l u m e 	 o f 	 w a t e r 	 t h a t 	 f a l l s 	 o n 	 2 	 h e c t a r e s 	 o f 	 l a n d .
1 7 . 	 T h e 	 f o l l o w i n g 	 a r e 	 t h e 	 m o n t h l y 	 r e n t s 	 i n 	 r u p e e s 	 o f 	 3 0 	 s h o p :
4 2 , 	 4 9 , 	 3 7 , 	 8 2 , 	 3 7 , 	 7 5 , 	 6 2 , 	 5 4 , 	 7 9 , 	 8 4 , 	 7 5 , 	 6 3 , 	 4 4 , 	 7 4 , 	 3 6 ,
6 9 , 	 5 4 , 	 4 8 , 	 7 4 , 	 3 9 , 	 4 8 , 	 4 5 , 	 6 1 , 	 7 1 , 	 4 7 , 	 3 8 , 	 8 0 , 	 5 1 , 	 3 1 , 	 4 3
U s i n g 	 t h e 	 c l a s s 	 i n t e r v a l s 	 o f 	 e q u a l 	 w i d t h 	 i n 	 w h i c h 	 o n e 	 c l a s s 	 i n t e r v a l 	 b e i n g 	 4 0 -
5 0 ( e x c l u s i v e l y 	 5 0 ) , 	 c o n s t r u c t 	 a 	 f r e q u e n c y 	 t a b l e 	 f o r 	 t h e 	 a b o v e 	 d a t a .
1 8 . 	 D r a w 	 a 	 h i s t o g r a m 	 f o r 	 t h e 	 f o l l o w i n g 	 f r e q u e n c y 	 d i s t r i b u t i o n :
S i z e 0 - 1 0 1 0 - 2 0 2 0 - 3 0 3 0 - 4 0 4 0 - 5 0 5 0 - 6 0
F r e q u e n c y 5 1 0 2 0 2 5 2 0 1 0
1 9 . 	 T h e 	 s u m 	 o f 	 t h e 	 d i g i t s 	 o f 	 a 	 t w o - d i g i t 	 n u m b e r 	 i s 	 9 . 	 T h e 	 n u m b e r 	 i s 	 6 	 t i m e s 	 t h e 	 u n i t 	 d i g i t . 	 F i n d
t h e 	 n u m b e r .
2 0 . 	 S a n j a y 	 i s 	 n o w 	 	 a s 	 o l d 	 a s 	 h i s 	 b r o t h e r . 	 I n 	 6 	 m o r e 	 y e a r s , 	 h e 	 w i l l 	 b e 	 	 a s 	 o l d 	 a s 	 h i s 	 b r o t h e r
t h e n . 	 W h a t 	 i s 	 t h e 	 p r e s e n t 	 a g e 	 o f 	 e a c h 	 b o y ?
S e c t i o n 	 : 	 C
2 1 . 	 N a s e e m 	 r u n s 	 a 	 r e a d y m a d e 	 g a r m e n t s 	 s h o p . 	 H e 	 m a r k s 	 t h e 	 g a r m e n t s 	 a t 	 s u c h 	 a 	 p r i c e 	 t h a t
e v e n 	 a f t e r 	 a l l o w i n g 	 a 	 d i s c o u n t 	 o f 	 1 2 . 5 % , 	 h e 	 m a k e s 	 a 	 p r o f i t 	 o f 	 1 0 % . 	 F i n d 	 t h e 	 m a r k e d 	 p r i c e d
o f 	 a 	 s u i t 	 w h i c h 	 c o s t s 	 h i m 	 R s . 1 4 7 0 .
2 2 . 	 R s 	 8 0 0 0 	 b e c a m e 	 R s 	 9 2 6 1 	 i n 	 a 	 c e r t a i n 	 i n t e r v a l 	 o f 	 t i m e 	 a t 	 t h e 	 r a t e 	 o f 	 5 % 	 p e r 	 a n n u m , 	 C . I .
F i n d 	 t h e 	 t i m e .
2 3 . 	 I n 	 h o w 	 m a n y 	 d a y s 	 o f 	 w o r k i n g 	 8 	 h o u r s 	 e a c h 	 d a y , 	 c a n 	 1 2 	 m e n 	 d o 	 t h e 	 s a m e 	 w o r k 	 a s 	 1 0 	 m e n
w o r k i n g 	 9 	 h o u r s 	 a 	 d a y s 	 d o 	 i n 	 1 6 	 d a y s ?
2 4 . 	 P i p e s 	 A 	 a n d 	 B 	 c a n 	 f i l l 	 a 	 t a n k 	 i n 	 5 	 a n d 	 6 	 h o u r s 	 r e s p e c t i v e l y . 	 P i p e 	 C 	 c a n 	 e m p t y 	 i t 	 i s 	 1 2 	 h o u r s .
Page 3


[ T i m e 	 : 	 3 H r s . 	 ] [ M M : 	 8 0 ]
N o t e :
1 . 	 T h e 	 p a p e r 	 c o n t a i n s 	 3 0 	 q u e s t i o n s 	 w i t h 	 t h r e e 	 s e c t i o n s 	 A , 	 B 	 & 	 C . 	 S e c t i o n 	 A 	 c o n t a i n s 	 1 0
q u e s t i o n s 	 o f 	 1 	 m a r k 	 e a c h , 	 S e c t i o n 	 B 	 c o n t a i n s 	 1 0 	 q u e s t i o n s 	 o f 	 3 	 m a r k s 	 e a c h 	 a n d 	 S e c t i o n 	 C
c o n t a i n s 	 1 0 	 q u e s t i o n s 	 o f 	 4 	 m a r k s 	 e a c h .
2 . 	 A l l 	 q u e s t i o n s 	 a r e 	 c o m p u l s o r y .
S e c t i o n 	 : 	 A
1 . 	 E x p r e s s 	 3 	 : 	 8 	 a s 	 a 	 p e r c e n t a g e .
2 . 	 I f 	 y 	 v a r i e s 	 i n v e r s e l y 	 a s 	 x , 	 a n d 	 i f 	 y = 4 	 w h e n 	 x = 7 2 , 	 f i n d 	 t h e 	 c o n s t a n t 	 o f 	 v a r i a t i o n .
3 . 	 F i n d 	 t h e 	 a r e a 	 o f 	 t h e 	 t r a p e z i u m 	 i f 	 h e i g h t 	 i s 	 7 	 c m 	 a n d 	 t w o 	 p a r a l l e l 	 s i d e s 	 a r e 	 8 	 c m 	 a n d 	 1 0 	 c m .
4 . 	 F i n d 	 t h e 	 s u r f a c e 	 a r e a 	 o f 	 a 	 c u b e 	 w h o s e 	 e d g e 	 i s 	 1 1 	 c m .
5 . 	 A 	 d i e 	 i s 	 r o l l e d 	 o n c e . 	 W h a t 	 i s 	 t h e 	 p r o b a b i l i t y 	 o f 	 r o l l i n g
a . 	 3
b . 	 a n 	 e v e n 	 n u m b e r ?
6 . 	 U s i n g 	 t h e 	 d i v i s i b i l i t y 	 r u l e , 	 w r i t e 	 w h i c h 	 o f 	 t h e 	 f o l l o w i n g 	 n u m b e r s 	 a r e 	 d i v i s i b l e 	 b y 	 9 ?
7 1 9 , 	 9 3 6
7 . 	 S o l v e 	 : 	 4 ( x + 2 ) - 2 ( x - 1 ) = 3 x - 3
8 . 	 W h a t 	 n u m b e r 	 s h o u l d 	 b e 	 a d d e d 	 t o 	 	 t o 	 g e t 	 ?
9 . 	 W r i t e 	 0 . 0 0 0 5 4 3 	 i n 	 s c i e n t i f i c 	 n o t a t i o n .
1 0 . 	 N a m e 	 t h e 	 s o l i d s 	 t h a t 	 h a v e
i . 	 4 	 f a c e s
i i . 	 6 	 f a c e s
S e c t i o n 	 : 	 B
1 1 . 	 A 	 s h o p k e e p e r 	 s o l d 	 t w o 	 p a i r s 	 o f 	 j e a n s 	 f o r 	 R s . 	 7 2 0 	 e a c h , 	 g a i n i n g 	 2 0 % 	 o n 	 o n e 	 a n d 	 l o s i n g 	 2 0 %
o n 	 t h e 	 o t h e r . 	 F i n d 	 h i s 	 g a i n 	 o r 	 l o s s 	 % .
1 2 . 	 H o w 	 m u c h 	 w i l l 	 R s 	 2 5 6 	 a m o u n t 	 t o 	 i n 	 o n e 	 y e a r 	 a t 	 	 % 	 p e r 	 a n n u m , 	 w h e n 	 t h e 	 i n t e r e s t 	 i s
c o m p o u n d e d 	 h a l f - y e a r l y ?
1 3 . 	 A 	 s t o c k 	 o f 	 f o o d 	 g r a i n s 	 i s 	 e n o u g h 	 f o r 	 4 0 0 	 p e r s o n s 	 f o r 	 9 	 d a y s . 	 H o w 	 l o n g 	 w i l l 	 t h e 	 s a m e 	 s t o c k
l a s t 	 f o r 	 3 0 0 	 p e r s o n s ?
1 4 . 	 A , 	 B 	 a n d 	 C 	 c a n 	 d o 	 a 	 p i e c e 	 o f 	 w o r k 	 i n 	 1 0 	 d a y s ; 	 A 	 a l o n e 	 c a n 	 d o 	 i t 	 i n 	 4 0 	 d a y s 	 a n d 	 B 	 a l o n e 	 c a n
d o 	 i t 	 i n 	 3 0 	 d a y s . 	 I n 	 h o w 	 m a n y 	 d a y s 	 w i l l 	 C 	 a l o n e 	 d o 	 t h e 	 s a m e 	 w o r k ?
1 5 . 	 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 	 B C 	 = 	 6 	 c m , 	 C D 	 = 	 6 	 c m , 	 D A 	 = 	 4 	 c m , 	 a n d 	
1 6 . 	 I n 	 a 	 s h o w e r , 	 5 	 c m 	 o f 	 r a i n 	 f a l l s . 	 F i n d 	 t h e 	 v o l u m e 	 o f 	 w a t e r 	 t h a t 	 f a l l s 	 o n 	 2 	 h e c t a r e s 	 o f 	 l a n d .
1 7 . 	 T h e 	 f o l l o w i n g 	 a r e 	 t h e 	 m o n t h l y 	 r e n t s 	 i n 	 r u p e e s 	 o f 	 3 0 	 s h o p :
4 2 , 	 4 9 , 	 3 7 , 	 8 2 , 	 3 7 , 	 7 5 , 	 6 2 , 	 5 4 , 	 7 9 , 	 8 4 , 	 7 5 , 	 6 3 , 	 4 4 , 	 7 4 , 	 3 6 ,
6 9 , 	 5 4 , 	 4 8 , 	 7 4 , 	 3 9 , 	 4 8 , 	 4 5 , 	 6 1 , 	 7 1 , 	 4 7 , 	 3 8 , 	 8 0 , 	 5 1 , 	 3 1 , 	 4 3
U s i n g 	 t h e 	 c l a s s 	 i n t e r v a l s 	 o f 	 e q u a l 	 w i d t h 	 i n 	 w h i c h 	 o n e 	 c l a s s 	 i n t e r v a l 	 b e i n g 	 4 0 -
5 0 ( e x c l u s i v e l y 	 5 0 ) , 	 c o n s t r u c t 	 a 	 f r e q u e n c y 	 t a b l e 	 f o r 	 t h e 	 a b o v e 	 d a t a .
1 8 . 	 D r a w 	 a 	 h i s t o g r a m 	 f o r 	 t h e 	 f o l l o w i n g 	 f r e q u e n c y 	 d i s t r i b u t i o n :
S i z e 0 - 1 0 1 0 - 2 0 2 0 - 3 0 3 0 - 4 0 4 0 - 5 0 5 0 - 6 0
F r e q u e n c y 5 1 0 2 0 2 5 2 0 1 0
1 9 . 	 T h e 	 s u m 	 o f 	 t h e 	 d i g i t s 	 o f 	 a 	 t w o - d i g i t 	 n u m b e r 	 i s 	 9 . 	 T h e 	 n u m b e r 	 i s 	 6 	 t i m e s 	 t h e 	 u n i t 	 d i g i t . 	 F i n d
t h e 	 n u m b e r .
2 0 . 	 S a n j a y 	 i s 	 n o w 	 	 a s 	 o l d 	 a s 	 h i s 	 b r o t h e r . 	 I n 	 6 	 m o r e 	 y e a r s , 	 h e 	 w i l l 	 b e 	 	 a s 	 o l d 	 a s 	 h i s 	 b r o t h e r
t h e n . 	 W h a t 	 i s 	 t h e 	 p r e s e n t 	 a g e 	 o f 	 e a c h 	 b o y ?
S e c t i o n 	 : 	 C
2 1 . 	 N a s e e m 	 r u n s 	 a 	 r e a d y m a d e 	 g a r m e n t s 	 s h o p . 	 H e 	 m a r k s 	 t h e 	 g a r m e n t s 	 a t 	 s u c h 	 a 	 p r i c e 	 t h a t
e v e n 	 a f t e r 	 a l l o w i n g 	 a 	 d i s c o u n t 	 o f 	 1 2 . 5 % , 	 h e 	 m a k e s 	 a 	 p r o f i t 	 o f 	 1 0 % . 	 F i n d 	 t h e 	 m a r k e d 	 p r i c e d
o f 	 a 	 s u i t 	 w h i c h 	 c o s t s 	 h i m 	 R s . 1 4 7 0 .
2 2 . 	 R s 	 8 0 0 0 	 b e c a m e 	 R s 	 9 2 6 1 	 i n 	 a 	 c e r t a i n 	 i n t e r v a l 	 o f 	 t i m e 	 a t 	 t h e 	 r a t e 	 o f 	 5 % 	 p e r 	 a n n u m , 	 C . I .
F i n d 	 t h e 	 t i m e .
2 3 . 	 I n 	 h o w 	 m a n y 	 d a y s 	 o f 	 w o r k i n g 	 8 	 h o u r s 	 e a c h 	 d a y , 	 c a n 	 1 2 	 m e n 	 d o 	 t h e 	 s a m e 	 w o r k 	 a s 	 1 0 	 m e n
w o r k i n g 	 9 	 h o u r s 	 a 	 d a y s 	 d o 	 i n 	 1 6 	 d a y s ?
2 4 . 	 P i p e s 	 A 	 a n d 	 B 	 c a n 	 f i l l 	 a 	 t a n k 	 i n 	 5 	 a n d 	 6 	 h o u r s 	 r e s p e c t i v e l y . 	 P i p e 	 C 	 c a n 	 e m p t y 	 i t 	 i s 	 1 2 	 h o u r s .
T h e 	 t a n k 	 i s 	 h a l f 	 f u l l . 	 A l l 	 t h e 	 t h r e e 	 p i p e s 	 a r e 	 i n 	 o p e r a t i o n 	 s i m u l t a n e o u s l y . 	 A f t e r 	 h o w 	 m u c h
t i m e 	 w i l l 	 t h e 	 t a n k 	 b e 	 f u l l ?
2 5 . 	 I n 	 t h e 	 f i g u r e , 	 A B 	 a n d 	 D C 	 a r e 	 p a r a l l e l 	 s i d e s 	 o f 	 a 	 t r a p e z i u m 	 A B C D 	 a n d 	 .
G i v e n 	 A B = 1 5 	 c m , 	 C D = 4 0 	 c m , 	 a n d 	 d i a g o n a l 	 A C 	 = 	 4 1 	 c m , 	 c a l c u l a t e 	 t h e 	 a r e a 	 o f 	 t h e 	 t r a p e z i u m
A B C D .
2 6 . 	 T h e 	 c i r c u m f e r e n c e 	 o f 	 t h e 	 b a s e 	 o f 	 a 	 c y l i n d r i c a l 	 v e s s e l 	 i s 	 1 3 2 	 c m 	 a n d 	 i t s 	 h e i g h t 	 i s 	 2 5 	 c m .
H o w 	 m a n y 	 l i t r e s 	 o f 	 w a t e r 	 c a n 	 i t 	 h o l d ?
2 7 . 	 C o n s t r u c t 	 a 	 r h o m b u s 	 A B C D 	 i n 	 w h i c h 	 A C = 7 	 c m 	 a n d 	 B D 	 = 	 5 	 c m . 	 A l s o , 	 w r i t e 	 t h e 	 s t e p s 	 o f
c o n s t r u c t i o n .
2 8 . 	 A 	 c a r d 	 i s 	 c h o s e n 	 a t 	 r a n d o m 	 f r o m 	 a n 	 o r d i n a r y 	 d e c k 	 o f 	 p l a y i n g 	 c a r d s . 	 W h a t 	 i s 	 t h e
p r o b a b i l i t y 	 t h a t
a . 	 A 	 d i a m o n d 	 i s 	 c h o s e n ?
b . 	 A 	 k i n g 	 i s 	 c h o s e n ?
c . 	 A 	 b l a c k 	 4 	 i s 	 c h o s e n ?
d . 	 A 	 7 	 o f 	 h e a r t s 	 i s 	 c h o s e n ?
2 9 . 	 D i v i d e 	 t h e 	 s u m 	 o f 	 	 a n d 	 	 b y 	 t h e 	 r e c i p r o c a l 	 o f 	 .
3 0 . 	 T h e 	 n u m b e r 	 o f 	 s t u d e n t s 	 i n 	 a 	 h o s t e l 	 s p e a k i n g 	 d i f f e r e n t 	 l a n g u a g e s 	 i s 	 g i v e n 	 b e l o w . 	 P r e s e n t
t h e 	 d a t a 	 i n 	 a 	 p i e 	 c h a r t .
L a n g u a g e 	 H i n d i 	 E n g l i s h 	 M a r a t h i T a m i l 	 B e n g a l i T o t a l
N u m b e r 	 o f 	 s t u d e n t s 4 0 1 0 8 8 6 7 2
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FAQs on Class 8 Math: CBSE Past Year Paper - 4 - Mathematics (Maths) Class 8

1. What is CBSE Class 8 Math Past Year Paper - 4?
Ans. CBSE Class 8 Math Past Year Paper - 4 refers to the fourth set of question paper for the Class 8 Mathematics exam conducted by the Central Board of Secondary Education (CBSE). It is a collection of questions from previous years' exams, designed to help students prepare for the current year's examination.
2. How can solving CBSE Class 8 Math Past Year Paper - 4 help in exam preparation?
Ans. Solving CBSE Class 8 Math Past Year Paper - 4 can be beneficial for exam preparation in several ways. It allows students to familiarize themselves with the exam pattern, time management, and the types of questions asked in the actual exam. By solving these papers, students can identify their strengths and weaknesses, revise important concepts, and gain confidence in their preparation.
3. Where can I find CBSE Class 8 Math Past Year Paper - 4?
Ans. CBSE Class 8 Math Past Year Paper - 4 can be found on various online platforms, educational websites, or through CBSE-affiliated bookstores. These papers are often available for free or can be purchased as a part of study materials or guidebooks specifically designed for CBSE Class 8 Mathematics.
4. Are the questions in CBSE Class 8 Math Past Year Paper - 4 the same as the actual exam?
Ans. While the questions in CBSE Class 8 Math Past Year Paper - 4 may not be identical to the actual exam, they are usually formulated in a similar style and cover the same syllabus. These papers are prepared by experts who have knowledge of the CBSE curriculum and previous year trends, ensuring that the questions are relevant and aligned with the exam's difficulty level.
5. How should I use CBSE Class 8 Math Past Year Paper - 4 effectively for my exam preparation?
Ans. To use CBSE Class 8 Math Past Year Paper - 4 effectively, start by solving the paper under exam conditions, strictly adhering to the time limit. After completing the paper, evaluate your performance, identify the areas where you made mistakes, and revise those topics thoroughly. It is also beneficial to compare your answers with the provided solutions or seek guidance from teachers or mentors to understand the correct approach to solving the questions. Regular practice with these papers can enhance your problem-solving skills and boost your confidence for the actual exam.
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