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 Page 1


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 	 :
1 . 	 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 .
2 . 	 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 .
3 . 	 T h i s 	 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 .
4 . 	 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 .
5 . 	 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 .
6 . 	 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 .
7 . 	 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 .
8 . 	 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 .
9 . 	 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 . 	 H o w 	 m a n y 	 s i d e s 	 c a n 	 a 	 t r i a n g l e 	 h a v e ?
2 . 	 C h e c k 	 w h e t h e r 	 a 	 t r i a n g l e 	 w i t h 	 s i d e s 	 5 	 c m , 	 7 	 c m , 	 a n d 	 9 	 c m 	 c a n 	 b e 	 c o n s t r u c t e d .
3 . 	 F i l l 	 i n 	 t h e 	 b l a n k 	 :
3 5 % 	 + 	 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . = 1 0 0 %
4 . 	 W h a t 	 o t h e r 	 n a m e 	 c a n 	 y o u 	 g i v e 	 t o 	 t h e 	 l i n e 	 o f 	 s y m m e t r y 	 o f 	 a n 	 i s o s c e l e s 	 t r i a n g l e ?
5 . 	 S t a t e 	 w h e t h e r 	 t h e 	 f o l l o w i n g 	 s t a t e m e n t 	 i s 	 ' T r u e ' 	 o r 	 ' F a l s e ' 	 :
1 0 	 1 0
1 1
= 1 0 0
1 1
( S E C T I O N 	 B )
6 . 	 W r i t e 	 t h e 	 n a m e s 	 o f 	 t h e 	 p o i n t s 	 l i e s 	 i n 	 t h e 	 i n t e r i o r 	 p a r t 	 o f 	 t r i a n g l e 	 i n 	 t h e 	 g i v e n 	 f i g u r e .
Page 2


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 	 :
1 . 	 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 .
2 . 	 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 .
3 . 	 T h i s 	 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 .
4 . 	 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 .
5 . 	 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 .
6 . 	 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 .
7 . 	 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 .
8 . 	 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 .
9 . 	 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 . 	 H o w 	 m a n y 	 s i d e s 	 c a n 	 a 	 t r i a n g l e 	 h a v e ?
2 . 	 C h e c k 	 w h e t h e r 	 a 	 t r i a n g l e 	 w i t h 	 s i d e s 	 5 	 c m , 	 7 	 c m , 	 a n d 	 9 	 c m 	 c a n 	 b e 	 c o n s t r u c t e d .
3 . 	 F i l l 	 i n 	 t h e 	 b l a n k 	 :
3 5 % 	 + 	 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . = 1 0 0 %
4 . 	 W h a t 	 o t h e r 	 n a m e 	 c a n 	 y o u 	 g i v e 	 t o 	 t h e 	 l i n e 	 o f 	 s y m m e t r y 	 o f 	 a n 	 i s o s c e l e s 	 t r i a n g l e ?
5 . 	 S t a t e 	 w h e t h e r 	 t h e 	 f o l l o w i n g 	 s t a t e m e n t 	 i s 	 ' T r u e ' 	 o r 	 ' F a l s e ' 	 :
1 0 	 1 0
1 1
= 1 0 0
1 1
( S E C T I O N 	 B )
6 . 	 W r i t e 	 t h e 	 n a m e s 	 o f 	 t h e 	 p o i n t s 	 l i e s 	 i n 	 t h e 	 i n t e r i o r 	 p a r t 	 o f 	 t r i a n g l e 	 i n 	 t h e 	 g i v e n 	 f i g u r e .
7 . 	 D r a w 	 a 	 l i n e 	 s e g m e n t 	 X Y 	 o f 	 l e n g t h 	 7 . 5 	 c m . 	 D r a w 	 t h e 	 p e r p e n d i c u l a r 	 b i s e c t o r 	 o f 	 X Y 	 w i t h 	 t h e
h e l p 	 o f 	 c o m p a s s e s .
8 . 	 F i n d 	 t h e 	 v a l u e 	 o f 	 2
5
.
9 . 	 F i n d 	 t h e 	 r a t i o 	 o f 	 R s . 5 0 	 t o 	 R s . 2 0 .
1 0 . 	 W h a t 	 p e r c e n t 	 o f 	 t h e 	 g i v e n 	 f i g u r e 	 i s 	 s h a d e d ?
1 1 . 	 F i l l 	 i n 	 t h e 	 b l a n k s 	 w i t h 	 t h e 	 h e l p 	 o f 	 g i v e n 	 e x a m p l e :
3
5
	 3
3 	
= 	 3
5 - 3
	 = 	 3
2
4 7 	 4
3
	 = . . . . . . . . . . . . . . . . . . . . . . . = . . . . . . . . . . . . . . . . . . . . .
1 2 . 	 D r a w 	 a l l 	 t h e 	 l i n e s 	 o f 	 s y m m e t r y 	 o f 	 a 	 r e c t a n g l e .
1 3 . 	 I s 	 t h e r e 	 a 	 t r i a n g l e 	 w h o s e 	 s i d e s 	 h a v e 	 l e n g t h s 	 2 	 c m , 	 3 	 c m 	 a n d 	 5 	 c m ? 	 G i v e 	 r e a s o n .
Page 3


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 	 :
1 . 	 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 .
2 . 	 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 .
3 . 	 T h i s 	 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 .
4 . 	 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 .
5 . 	 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 .
6 . 	 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 .
7 . 	 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 .
8 . 	 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 .
9 . 	 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 . 	 H o w 	 m a n y 	 s i d e s 	 c a n 	 a 	 t r i a n g l e 	 h a v e ?
2 . 	 C h e c k 	 w h e t h e r 	 a 	 t r i a n g l e 	 w i t h 	 s i d e s 	 5 	 c m , 	 7 	 c m , 	 a n d 	 9 	 c m 	 c a n 	 b e 	 c o n s t r u c t e d .
3 . 	 F i l l 	 i n 	 t h e 	 b l a n k 	 :
3 5 % 	 + 	 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . = 1 0 0 %
4 . 	 W h a t 	 o t h e r 	 n a m e 	 c a n 	 y o u 	 g i v e 	 t o 	 t h e 	 l i n e 	 o f 	 s y m m e t r y 	 o f 	 a n 	 i s o s c e l e s 	 t r i a n g l e ?
5 . 	 S t a t e 	 w h e t h e r 	 t h e 	 f o l l o w i n g 	 s t a t e m e n t 	 i s 	 ' T r u e ' 	 o r 	 ' F a l s e ' 	 :
1 0 	 1 0
1 1
= 1 0 0
1 1
( S E C T I O N 	 B )
6 . 	 W r i t e 	 t h e 	 n a m e s 	 o f 	 t h e 	 p o i n t s 	 l i e s 	 i n 	 t h e 	 i n t e r i o r 	 p a r t 	 o f 	 t r i a n g l e 	 i n 	 t h e 	 g i v e n 	 f i g u r e .
7 . 	 D r a w 	 a 	 l i n e 	 s e g m e n t 	 X Y 	 o f 	 l e n g t h 	 7 . 5 	 c m . 	 D r a w 	 t h e 	 p e r p e n d i c u l a r 	 b i s e c t o r 	 o f 	 X Y 	 w i t h 	 t h e
h e l p 	 o f 	 c o m p a s s e s .
8 . 	 F i n d 	 t h e 	 v a l u e 	 o f 	 2
5
.
9 . 	 F i n d 	 t h e 	 r a t i o 	 o f 	 R s . 5 0 	 t o 	 R s . 2 0 .
1 0 . 	 W h a t 	 p e r c e n t 	 o f 	 t h e 	 g i v e n 	 f i g u r e 	 i s 	 s h a d e d ?
1 1 . 	 F i l l 	 i n 	 t h e 	 b l a n k s 	 w i t h 	 t h e 	 h e l p 	 o f 	 g i v e n 	 e x a m p l e :
3
5
	 3
3 	
= 	 3
5 - 3
	 = 	 3
2
4 7 	 4
3
	 = . . . . . . . . . . . . . . . . . . . . . . . = . . . . . . . . . . . . . . . . . . . . .
1 2 . 	 D r a w 	 a l l 	 t h e 	 l i n e s 	 o f 	 s y m m e t r y 	 o f 	 a 	 r e c t a n g l e .
1 3 . 	 I s 	 t h e r e 	 a 	 t r i a n g l e 	 w h o s e 	 s i d e s 	 h a v e 	 l e n g t h s 	 2 	 c m , 	 3 	 c m 	 a n d 	 5 	 c m ? 	 G i v e 	 r e a s o n .
1 4 . 	 S t a t e 	 w h e t h e r 	 t h e 	 f o l l o w i n g 	 s t a t e m e n t s 	 a r e 	 t r u e 	 o r 	 f a l s e 	 :
i . 	 7
2
5
2
	 = 	 1 2
2 	
( T r u e / F a l s e )
i i . 	 8
3
8
2
	 = 1 	 ( T r u e / F a l s e )
( S E C T I O N 	 C )
1 5 . 	 F i n d 	 t h e 	 v a l u e 	 o f 	 ' n ' 	 i n 	 .
O R
T e l l 	 t h e 	 n a m e s 	 o f 	 t h e 	 f o l l o w i n g 	 t r i a n g l e s 	 a c c o r d i n g 	 t o 	 t h e i r 	 a n g l e s .
	
1 6 . 	 C o n v e r t 	 t h e 	 f o l l o w i n g 	 f r a c t i o n s 	 i n t o 	 d e c i m a l s 	 :
i . 	
i i . 	
1 7 . 	 C o n s t r u c t 	 a 	 t r i a n g l e 	 A B C , 	 g i v e n 	 t h a t 	 A B 	 = 	 3 	 c m , 	 B C 	 = 	 4 	 c m 	 a n d 	 A C 	 = 	 5 	 c m .
1 8 . 	 E x p r e s s 	 1 0 0 0 	 a s 	 a 	 p r o d u c t 	 o f 	 p o w e r s 	 o f 	 p r i m e 	 f a c t o r s .
Page 4


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


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 	 :
1 . 	 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 .
2 . 	 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 .
3 . 	 T h i s 	 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 .
4 . 	 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 .
5 . 	 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 .
6 . 	 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 .
7 . 	 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 .
8 . 	 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 .
9 . 	 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 . 	 H o w 	 m a n y 	 s i d e s 	 c a n 	 a 	 t r i a n g l e 	 h a v e ?
2 . 	 C h e c k 	 w h e t h e r 	 a 	 t r i a n g l e 	 w i t h 	 s i d e s 	 5 	 c m , 	 7 	 c m , 	 a n d 	 9 	 c m 	 c a n 	 b e 	 c o n s t r u c t e d .
3 . 	 F i l l 	 i n 	 t h e 	 b l a n k 	 :
3 5 % 	 + 	 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . = 1 0 0 %
4 . 	 W h a t 	 o t h e r 	 n a m e 	 c a n 	 y o u 	 g i v e 	 t o 	 t h e 	 l i n e 	 o f 	 s y m m e t r y 	 o f 	 a n 	 i s o s c e l e s 	 t r i a n g l e ?
5 . 	 S t a t e 	 w h e t h e r 	 t h e 	 f o l l o w i n g 	 s t a t e m e n t 	 i s 	 ' T r u e ' 	 o r 	 ' F a l s e ' 	 :
1 0 	 1 0
1 1
= 1 0 0
1 1
( S E C T I O N 	 B )
6 . 	 W r i t e 	 t h e 	 n a m e s 	 o f 	 t h e 	 p o i n t s 	 l i e s 	 i n 	 t h e 	 i n t e r i o r 	 p a r t 	 o f 	 t r i a n g l e 	 i n 	 t h e 	 g i v e n 	 f i g u r e .
7 . 	 D r a w 	 a 	 l i n e 	 s e g m e n t 	 X Y 	 o f 	 l e n g t h 	 7 . 5 	 c m . 	 D r a w 	 t h e 	 p e r p e n d i c u l a r 	 b i s e c t o r 	 o f 	 X Y 	 w i t h 	 t h e
h e l p 	 o f 	 c o m p a s s e s .
8 . 	 F i n d 	 t h e 	 v a l u e 	 o f 	 2
5
.
9 . 	 F i n d 	 t h e 	 r a t i o 	 o f 	 R s . 5 0 	 t o 	 R s . 2 0 .
1 0 . 	 W h a t 	 p e r c e n t 	 o f 	 t h e 	 g i v e n 	 f i g u r e 	 i s 	 s h a d e d ?
1 1 . 	 F i l l 	 i n 	 t h e 	 b l a n k s 	 w i t h 	 t h e 	 h e l p 	 o f 	 g i v e n 	 e x a m p l e :
3
5
	 3
3 	
= 	 3
5 - 3
	 = 	 3
2
4 7 	 4
3
	 = . . . . . . . . . . . . . . . . . . . . . . . = . . . . . . . . . . . . . . . . . . . . .
1 2 . 	 D r a w 	 a l l 	 t h e 	 l i n e s 	 o f 	 s y m m e t r y 	 o f 	 a 	 r e c t a n g l e .
1 3 . 	 I s 	 t h e r e 	 a 	 t r i a n g l e 	 w h o s e 	 s i d e s 	 h a v e 	 l e n g t h s 	 2 	 c m , 	 3 	 c m 	 a n d 	 5 	 c m ? 	 G i v e 	 r e a s o n .
1 4 . 	 S t a t e 	 w h e t h e r 	 t h e 	 f o l l o w i n g 	 s t a t e m e n t s 	 a r e 	 t r u e 	 o r 	 f a l s e 	 :
i . 	 7
2
5
2
	 = 	 1 2
2 	
( T r u e / F a l s e )
i i . 	 8
3
8
2
	 = 1 	 ( T r u e / F a l s e )
( S E C T I O N 	 C )
1 5 . 	 F i n d 	 t h e 	 v a l u e 	 o f 	 ' n ' 	 i n 	 .
O R
T e l l 	 t h e 	 n a m e s 	 o f 	 t h e 	 f o l l o w i n g 	 t r i a n g l e s 	 a c c o r d i n g 	 t o 	 t h e i r 	 a n g l e s .
	
1 6 . 	 C o n v e r t 	 t h e 	 f o l l o w i n g 	 f r a c t i o n s 	 i n t o 	 d e c i m a l s 	 :
i . 	
i i . 	
1 7 . 	 C o n s t r u c t 	 a 	 t r i a n g l e 	 A B C , 	 g i v e n 	 t h a t 	 A B 	 = 	 3 	 c m , 	 B C 	 = 	 4 	 c m 	 a n d 	 A C 	 = 	 5 	 c m .
1 8 . 	 E x p r e s s 	 1 0 0 0 	 a s 	 a 	 p r o d u c t 	 o f 	 p o w e r s 	 o f 	 p r i m e 	 f a c t o r s .
1 9 . 	 M a t c h 	 t h e 	 f o l l o w i n g 	 :
F i g u r e O r d e r 	 o f 	 r o t a t i o n a l 	 s y m m e t r y
( i ) 	 ( a ) 	 1
( i i ) ( b ) 	 2
( i i i ) ( c ) 	 3
	 ( d ) 	 4
	 ( e ) 	 5
( S E C T I O N 	 D )
2 0 . 	 C o n s t r u c t 	 	 	 s u c h 	 t h a t 	 Q R 	 = 	 5 	 c m , 	 	 a n d 	
2 1 . 	 R a m e s h 	 b o u g h t 	 a 	 T . V . 	 f o r 	 R s . 2 4 0 0 0 	 a n d 	 s o l d 	 a t 	 R s . 1 8 0 0 0 . 	 F i n d 	 h i s 	 l o s s 	 o r 	 p r o f i t 	 p e r c e n t .
O R
M a t c h 	 t h e 	 f o l l o w i n g 	 :
C o l u m n 	 I C o l u m n 	 I I
( i ) 	 3 0 % ( a ) 	
( i i ) 	 2 5 % ( b ) 	 0 . 3 0
( i i i ) 	 6 0 % ( c ) 	
( i v ) 	 8 0 % ( d ) 	 0 . 0 3
	 ( e ) 	
	 ( f ) 	
2 2 . 	 F i n d 	 t h e 	 v a l u e 	 o f 	 t h e 	 u n k n o w n 	 e x t e r i o r 	 a n g l e 	 ' x ' 	 i n 	 t h e 	 g i v e n 	 f i g u r e s .
	
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FAQs on Class 7 Math: CBSE Past Year Paper - 3 - Mathematics (Maths) Class 7

1. What are the main topics covered in CBSE Class 7 Math past year paper - 3?
Ans. The main topics covered in CBSE Class 7 Math past year paper - 3 include fractions, decimals, rational numbers, algebraic expressions, triangles, circles, data handling, and basic geometry.
2. How can I effectively prepare for the CBSE Class 7 Math exam based on past year paper - 3?
Ans. To effectively prepare for the CBSE Class 7 Math exam based on past year paper - 3, you can start by thoroughly studying the concepts and topics mentioned in the paper. Practice solving similar problems from the textbook or additional resources. Additionally, revise the key formulas and theorems, and solve previous years' question papers to understand the exam pattern and time management.
3. Are the questions in the CBSE Class 7 Math past year paper - 3 similar to the actual exam?
Ans. The questions in the CBSE Class 7 Math past year paper - 3 are designed to be similar to the actual exam. They are based on the prescribed syllabus and follow the pattern of the CBSE exam. However, it is important to note that the actual exam may have variations in terms of the difficulty level and the specific questions asked.
4. Can solving the CBSE Class 7 Math past year paper - 3 help improve my exam performance?
Ans. Yes, solving the CBSE Class 7 Math past year paper - 3 can definitely help improve your exam performance. It allows you to become familiar with the exam pattern, understand the types of questions asked, and assess your level of preparation. By practicing with past year papers, you can also identify your strengths and weaknesses, and work on them accordingly to enhance your overall performance in the exam.
5. Where can I find the CBSE Class 7 Math past year paper - 3 for practice?
Ans. The CBSE Class 7 Math past year paper - 3 can be found in various sources for practice. You can refer to the official website of CBSE for previous years' question papers. Additionally, many educational websites and online platforms provide access to past year papers for practice. Your school or coaching institute may also have a collection of past year papers that you can utilize for preparation.
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