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


G e n e r a l 	 I n s t r u c t i o n s :
T h e 	 q u e s t i o n s 	 p a p e r 	 h a s 	 b e e n 	 d i v i d e d 	 i n t o 	 4 	 s e c t i o n s .
S e c 	 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 	 B 	 c o n t a i n s 	 8 	 q u e s t i o n s 	 o f 	 2 	 m a r k s 	 e a c h
S e c 	 C 	 c o n t a i n s 	 8 	 q u e s t i o n s 	 o f 	 3 	 m a r k s 	 e a c h
S e c 	 D 	 c o n t a i n s 	 6 	 q u e s t i o n s 	 o f 	 4 	 m a r k s 	 e a c h
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 	 s o m e 	 q u e s t i o n s . 	 A t t e m p t 	 o n l y 	 o n e 	 o p t i o n 	 i n 	 s u c h
q u e s t i o n s .
S e c t i o n - A
1 	 H o w 	 m a n y 	 m i l l i m e t e r s 	 m a k e 	 1 	 k i l o m e t e r ?
2 	 T h e 	 s m a l l e s t 	 8 - d i g i t 	 n u m b e r 	 i s 	 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
3 	 H o w 	 m a n y 	 n a t u r a l 	 n u m b e r s 	 a r e 	 t h e r e 	 b e t w e e n 	 2 3 	 a n d 	 3 5 ?
4 	 W r i t e 	 t h e 	 s u c c e s s o r 	 o f 	 4 8 .
5 	 T h e 	 s m a l l e s t 	 p r i m e 	 n u m b e r , 	 w h i c h 	 i s 	 n o t 	 e v e n 	 i s 	 . . . . . . . . . . . . . . . .
6 	 T h e 	 n u m b e r 	 w h i c h 	 i s 	 a 	 f a c t o r 	 o f 	 e v e r y 	 n u m b e r 	 i s 	 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
7 	 T h e 	 n u m b e r 	 o f 	 d i a g o n a l s 	 i n 	 a 	 p e n t a g o n 	 i s 	 . . . . . . . . . . . . . . . . . . .
8 	 W e 	 u s e 	 a 	 . . . . . . . . . . . . . . . . . . . . . . . . . 	 t o 	 m e a s u r e 	 t h e 	 s i z e 	 o f 	 a n 	 a n g l e 	 i n 	 d e g r e e s .
9 	 T h e 	 v a l u e 	 o f 	 t a l l y 	 m a r k s 	
1 0 	 T o 	 r e p r e s e n t 	 d a t a 	 t h r o u g h 	 b a r s 	 i s 	 c a l l e d 	 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
S e c t i o n - B
1 1 . 	 E s t i m a t e 	 e a c h 	 o f 	 t h e 	 f o l l o w i n g 	 u s i n g 	 g e n e r a l 	 r u l e :
( a ) 	 7 9 6 	 - 	 3 1 4
( b ) 	 9 8 5 0 	 × 	 2 9
1 2 . 	 F i n d 	 t h e 	 p r o d u c t 	 b y 	 s u i t a b l e 	 r e a r r a n g e m e n t :
( a ) 	 8 	 	 	 × 	 2 6 9 	 × 	 1 2 5
( b ) 	 2 0 	 × 	 1 4 8 	 × 	 5 0
1 3 . 	 F i n d 	 t h e 	 c o m m o n 	 f a c t o r s 	 o f :
( a ) 	 2 0 	 a n d 	 2 4 	
( b ) 	 5 6 	 a n d 	 2 1 0
O R
E x p r e s s 	 e a c h 	 o f 	 t h e 	 f o l l o w i n g 	 n u m b e r s 	 a s 	 t h e 	 s u m 	 o f 	 t h e 	 o d d 	 p r i m e s :
( a ) 	 2 1
( b ) 	 6 1
1 4 . 	 U s e 	 t h e 	 f i g u r e 	 t o 	 n a m e :
( a ) 	 F o u r 	 p o i n t s
( b ) 	 F o u r 	 r a y s 	
1 5 . 	 D r a w 	 a n y 	 p o l y g o n 	 a n d 	 s h a d e 	 i t s 	 i n t e r i o r .
1 6 . 	 I n 	 a n 	 e x a m i n a t i o n , 	 t h e 	 g r a d e s 	 a c h i e v e d 	 b y 	 3 0 	 s t u d e n t s 	 o f 	 a 	 c l a s s 	 a r e 	 g i v e n 	 b e l o w .
A r r a n g e 	 t h e s e 	 g r a d e s 	 i n 	 a 	 t a b l e 	 u s i n g 	 t a l l y 	 m a r k s .
B , 	 C , 	 C , 	 E , 	 A , 	 C , 	 B , 	 B , 	 D , 	 D , 	 D , 	 D , 	 B , 	 C , 	 C , 	 C , 	 A , 	 C , 	 B , 	 E 	 , A , D , C , B , E , C , B , E 	 , C , 	 D
1 7 . 	 T h e 	 m a r k s 	 o b t a i n e d 	 b y 	 2 8 	 s t u d e n t s 	 i n 	 a 	 t e s t 	 a r e 	 l i s t e d 	 b e l o w :
8 	 , 1 	 , 2 	 , 6 	 , 5 	 , 5 	 , 5 , 	 0 , 	 1 , 	 9 , 	 7 , 	 8 , 	 0 , 	 5 , 	 8 	 , 3 , 0 , 	 8 , 	 1 0 , 	 1 0 , 	 3 , 	 4 , 	 8 , 	 7 , 	 8 , 	 9 , 	 2 , 	 0
A n s w e r 	 t h e 	 f o l l o w i n g 	 q u e s t i o n s :
( a ) 	 F i n d 	 t h e 	 n u m b e r 	 o f 	 s t u d e n t s 	 w h o 	 o b t a i n e d 	 m a r k s 	 m o r e 	 t h a n 	 o r 	 e q u a l 	 t o 	 5 .
( b ) 	 F i n d 	 t h e 	 n u m b e r 	 o f 	 s t u d e n t s 	 w h o 	 o b t a i n e d 	 m a r k s 	 l e s s 	 t h a n 	 4 .
1 8 . 	 C o m p l e t e 	 t h e 	 s e n t e n c e :
	 I n 	 a 	 p i c t o g r a p h , 	 	 	 i f 	 a 	 s y m b o l 	 r e p r e s e n t s 	 3 0 	 f l o w e r s 	 i n 	 a 	 b a s k e t 	 t h e n 	 	 s t a n d s 	 f o r
. . . . . . . . . . . . . . . . . . . . . 	 f l o w e r s 	 a n d 	 o f 	 . . . . . . . . . . . . . . . 	 s y m b o l s 	 w i l l 	 r e p r e s e n t 	 1 5 0 	 f l o w e r s . 	 	 	 	
S e c t i o n - C
1 9 . 	 W r i t e 	 t h e 	 f o l l o w i n g 	 i n 	 r o m a n 	 n u m e r a l s :
( a ) 	 7 9 	 	
( b ) 	 9 9
( c ) 	 4 7
2 0 . 	 F i n d 	 t h e 	 v a l u e 	 o f 	 t h e 	 f o l l o w i n g 	 u s i n g 	 d i s t r i b u t i v e 	 p r o p e r t y :
a ) 	 5 4 3 6 	 × 	 1 0 0 0 1
b ) 	 8 2 7 	 × 	 	 	 1 0 1
2 1 . 	 W r i t e 	 t h e 	 g r e a t e s t 	 4 	 – d i g i t 	 n u m b e r 	 a n d 	 e x p r e s s 	 i t 	 t e r m s 	 o f 	 i t s 	 p r i m e 	 f a c t o r s .
2 2 . 	 I n 	 t h e 	 g i v e n 	 f i g u r e : 	
( a ) 	 ? A O C 	 i s 	 a / a n 	 . . . . . . . . 	 a n g l e .
( b ) 	 ? B O E 	 i s 	 a / a n 	 . . . . . . . . . 	 a n g l e .
( c ) 	 ? 	 C O F 	 i s 	 a / a n . . . . . . . . . . a n g l e .
2 3 . 	 N a m e 	 t h e 	 f o l l o w i n g 	 a n g l e s 	 o f 	 t h e 	 g i v e n 	 f i g u r e , 	 u s i n g 	 t h r e e 	 l e t t e r s :
( a ) 	 ? A B C 	 - 	 ? 	 1
( b ) 	 ? A B C 	 - 	 ? 	 1
2 4 . 	 F i l l 	 i n 	 t h e 	 b l a n k s 	 i n 	 t h e 	 f o l l o w i n g 	 t a b l e 	 w h i c h 	 r e p r e s e n t s 	 s h i r t 	 s i z e 	 o f 	 4 0 	 s t u d e n t s :
S h i r t 	 S i z e T a l l y 	 m a r k s N o . 	 o f 	 s t u d e n t s
Page 4


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


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

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FAQs on Class 6 Math: CBSE Past Year Paper - 7

1. What are the topics covered in the CBSE Class 6 Math exam?

Ans. The CBSE Class 6 Math exam covers topics like numbers, basic geometrical ideas, integers, fractions, decimals, data handling, mensuration, algebra, ratio and proportion, symmetry, and practical geometry.

2. How can I prepare effectively for the CBSE Class 6 Math exam?

Ans. To prepare effectively for the CBSE Class 6 Math exam, you can follow these tips: - Understand the concepts thoroughly and practice solving different types of problems. - Create a study schedule and allocate time for each topic. - Make use of textbooks, study guides, and reference books for additional practice. - Solve previous year question papers and sample papers to get acquainted with the exam pattern. - Seek help from your teachers or classmates if you have any doubts or difficulties. - Revise regularly and solve mock tests to assess your preparation level.

3. Are there any online resources available for CBSE Class 6 Math preparation?

Ans. Yes, there are several online resources available for CBSE Class 6 Math preparation. Some popular websites and platforms include: - NCERT's official website, which provides free access to NCERT textbooks and solutions. - Online learning platforms like Khan Academy, BYJU'S, and Vedantu, which offer video lessons, practice exercises, and quizzes. - YouTube channels dedicated to CBSE Class 6 Math tutorials and problem-solving. - Educational apps that provide interactive lessons and practice materials. - Online forums and communities where you can ask questions and seek guidance from experts.

4. How can I improve my problem-solving skills in CBSE Class 6 Math?

Ans. To improve your problem-solving skills in CBSE Class 6 Math, you can follow these strategies: - Understand the problem statement carefully and identify the given information. - Break down complex problems into smaller, manageable steps. - Practice solving different types of problems regularly. - Use logical reasoning and critical thinking to find the most appropriate solution approach. - Discuss problems with classmates or teachers to gain different perspectives. - Analyze your mistakes and learn from them to avoid similar errors in the future. - Solve additional practice problems from various sources to enhance your problem-solving abilities.

5. Is it necessary to memorize formulas for the CBSE Class 6 Math exam?

Ans. While it is important to understand and apply the concepts in CBSE Class 6 Math, memorizing formulas can be helpful. Memorizing formulas saves time during the exam and allows you to focus on solving problems efficiently. However, it is equally essential to understand the derivation and application of formulas rather than just memorizing them blindly. Regular practice and application of formulas in different contexts will reinforce your understanding and help you perform better in the exam.

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