Class 7 Exam  >  Class 7 Notes  >  Mathematics (Maths) Class 7  >  Class 7 Math: CBSE Past Year Paper - 11

Class 7 Math: CBSE Past Year Paper - 11 | Mathematics (Maths) Class 7 PDF Download

Download, print and study this document offline
Please wait while the PDF view is loading
 Page 1


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 	 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 	 4 	 q u e s t i o n s 	 o f 	 5 	 m a r k s 	 e a c h
I n t e r n a l 	 c h o i c e s 	 h a v e 	 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 . 	 E x p r e s s 	 i n 	 e x p o n e n t i a l 	 f o r m : 	 6 	 × 	 6 	 × 	 6 	 × 	 6 	 × 	 6
2 . 	 C a n 	 y o u 	 h a v e 	 a 	 t r i a n g l e 	 w i t h 	 t w o 	 r i g h t 	 a n g l e s .
3 . 	 A r e a 	 o f 	 a 	 c i r c l e 	 w i t h 	 r a d i u s 	 r 	 = … … … …
4 . 	 W r i t e 	 t h e 	 c o e f f i c i e n t 	 o f 	 x 	 i n 	 t h e 	 e x p r e s s i o n 	 1 3 y
2
	 – 	 8 y x .
5 . 	 W r i t e 	 t h e 	 n a m e 	 o f 	 e q u a l 	 a n g l e s 	 i n 	 t h e 	 g i v e n 	 f i g u r e .
6 . 	 H o w 	 m a n y 	 m e d i a n s 	 c a n 	 b e 	 d r a w n 	 i n 	 a 	 t r i a n g l e ?
7 . 	 W r i t e 	 t w o 	 p o i n t s 	 l o c a t e d 	 o n 	 t h e 	 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


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


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


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


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 	 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 	 4 	 q u e s t i o n s 	 o f 	 5 	 m a r k s 	 e a c h
I n t e r n a l 	 c h o i c e s 	 h a v e 	 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 . 	 E x p r e s s 	 i n 	 e x p o n e n t i a l 	 f o r m : 	 6 	 × 	 6 	 × 	 6 	 × 	 6 	 × 	 6
2 . 	 C a n 	 y o u 	 h a v e 	 a 	 t r i a n g l e 	 w i t h 	 t w o 	 r i g h t 	 a n g l e s .
3 . 	 A r e a 	 o f 	 a 	 c i r c l e 	 w i t h 	 r a d i u s 	 r 	 = … … … …
4 . 	 W r i t e 	 t h e 	 c o e f f i c i e n t 	 o f 	 x 	 i n 	 t h e 	 e x p r e s s i o n 	 1 3 y
2
	 – 	 8 y x .
5 . 	 W r i t e 	 t h e 	 n a m e 	 o f 	 e q u a l 	 a n g l e s 	 i n 	 t h e 	 g i v e n 	 f i g u r e .
6 . 	 H o w 	 m a n y 	 m e d i a n s 	 c a n 	 b e 	 d r a w n 	 i n 	 a 	 t r i a n g l e ?
7 . 	 W r i t e 	 t w o 	 p o i n t s 	 l o c a t e d 	 o n 	 t h e 	 t r i a n g l e 	 i n 	 t h e 	 g i v e n 	 f i g u r e .
8 . 	 W h a t 	 i s 	 t h e 	 p e r i m e t e r 	 o f 	 a 	 s q u a r e 	 w i t h 	 s i d e 	 2 . 5 	 c m ?
9 . 	 I s 	 ? A B C 	 ? 	 ? D E F
1 0 . 	 W r i t e 	 t h e 	 n a m e 	 ( t y p e ) 	 o f 	 t h e 	 g i v e n 	 t r i a n g l e 	 o n 	 t h e 	 b a s i s 	 o f 	 i t s 	 a n g l e s .
S E C T I O N 	 – 	 B
1 1 . 	 A d d 	 x 	 a n d 	 5 x 	 – 	 7 	 a n d 	 – 	 3 x 	 + 	 6
1 2 . 	 F i n d 	 t h e 	 r a t i o 	 o f 	 : 	 1 5 	 k g 	 t o 	 2 1 0 	 g
1 3 . 	 F i n d 	 t h e 	 v a l u e 	 o f 	 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 .
1 4 . 	 F i n d 	 t h e 	 c i r c u m f e r e n c e 	 o f 	 a 	 c i r c l e 	 w i t h 	 d i a m e t e r 	 3 . 5 	 c m .
1 5 . 	 I f 	 ? P Q R 	 ? 	 ? X 	 Y Z
a ) 	 ? P 	 = 	 . . . . . . . . . . . . . .
b ) 	 . . . . . . . . . . . . . . . . 	 = 	 ? Z
c ) 	 P Q 	 = 	 … … … … … … …
d ) 	 … … … … … … … 	 = 	 X Z
1 6 . 	 F i l l 	 i n 	 t h e 	 b l a n k s 	 w i t h 	 t h e 	 c o r r e c t 	 s y m b o l 	 o u t 	 o f 	 > , 	 < 	 o r 	 = :
a ) 	
b ) 	
1 7 . 	 F i n d 	 t h e 	 a r e a 	 o f 	 t h e 	 p a r a l l e l o g r a m 	 i n 	 t h e 	 g i v e n 	 f i g u r e .
1 8 . 	 I d e n t i f y 	 p a i r s 	 o f 	 l i k e 	 t e r m s :
a ) 	 7 x , 	 1 2 y
b ) 	 1 5 x , 	 - 2 1 x
c ) 	 - 4 a b 	 , 	 7 b a
d ) 	 3 x y , 	 3 x
O R
C l a s s i f y 	 t h e 	 f o l l o w i n g 	 i n t o 	 m o n o m i a l s , 	 b i n o m i a l s 	 a n d 	 t r i n o m i a l s :
a ) 	 4 8 a
b ) 	 5 x
2
y 	 + 	 3 x y
2
c ) 	 3 p q
2
	 – 	 p q 	 + 	 1
d ) 	 5 m n 	 – 	 6
S E C T I O N 	 – C
1 9 . 	 S i m p l i f y 	 a n d 	 e x p r e s s 	 i n 	 e x p o n e n t i a l 	 f o r m : 	
2 0 . 	 I n 	 t h e 	 f i g u r e , 	 A B = A C 	 a n d 	 A D 	 i s 	 t h e 	 b i s e c t o r 	 o f 	 ? B A C .
a ) 	 S t a t e 	 t h r e e 	 p a i r s 	 o f 	 e q u a l 	 p a r t s 	 i n 	 t r i a n g l e s 	 A D B 	 a n d 	 A D C .
b ) 	 I s 	 ? A D B 	 ? 	 ? A D C 	 ? 	 G i v e 	 r e a s o n s .
2 1 . 	 T h e 	 a r e a 	 o s 	 a 	 r e c t a n g u l a r 	 s h e e t 	 i s 	 5 0 0 	 c m
2
. 	 I f 	 t h e 	 l e n g t h 	 o f 	 t h e 	 s h e e t 	 i s 	 2 5 	 c m , 	 w h a t 	 i s 	 i t s
w i d t h ? 	 A l s o , 	 f i n d 	 t h e 	 p e r i m e t e r 	 o f 	 t h e 	 r e c t a n g u l a r 	 s h e e t .
2 2 . 	 F i n d 	 t h e 	 v a l u e 	 o f 	 a
2
	 + 	 a b 	 + 	 b
2
	 a t 	 a 	 = 	 2 , 	 b 	 = 	 ( - 2 )
2 3 . 	 M e e t a 	 s a v e 	 R s . 	 4 0 0 / - 	 f r o m 	 h e r 	 s a l a r y . 	 I f 	 t h i s 	 i s 	 1 0 % 	 o f 	 h e r 	 s a l a r y , 	 w h a t 	 i s 	 h e r 	 s a l a r y ?
2 4 . 	 ? A B C 	 i s 	 r i g h t 	 a n g l e 	 a t 	 C . 	 I f 	 A C = 5 	 c m , 	 B C = 1 2 	 c m , 	 F i n d 	 t h e 	 l e n g t h 	 o f 	 A B .
2 5 . 	 T h e 	 m i n u t e 	 h a n d 	 o f 	 a 	 c i r c u l a r 	 c l o c k 	 i s 	 1 5 	 c m 	 l o n g . 	 H o w 	 f a r 	 d o e s 	 t h e 	 t i p 	 o f 	 t h e 	 m i n u t e
h a n d
m o v e 	 i n 	 1 	 h o u r ? 	 ( T a k e 	 p 	 = 	 3 . 1 4 )
2 6 . 	 I d e n t i f y 	 t h e 	 t e r m s 	 a n d 	 t h e i r 	 f a c t o r s 	 i n 	 t h e 	 f o l l o w i n g 	 e x p r e s s i o n . 	 S h o w 	 t h e 	 f a c t o r s 	 b y 	 t r e e
d i a g r a m : 	 4 x
2
	 – 	 3 x y
S E C T I O N 	 D
2 7 . 	 C o n s t r u c t 	 ? A B C 	 w i t h 	 B C 	 = 7 . 5 	 c m , 	 A C = 5 	 c m 	 a n d 	 m ? C 	 = 	 6 0 ° . 	 W r i t e 	 s t e p s 	 o f 	 c o n s t r u c t i o n
a l s o .
2 8 . 	 R a v i 	 b o u g h t 	 a 	 T V 	 f o r 	 R s . 	 1 2 , 0 0 0 	 a n d 	 s o l d 	 i t 	 a t 	 a 	 p r o f i t 	 o f 	 1 0 % . 	 H e 	 p u r c h a s e d 	 w o o l e n
c l o t h e s 	 f o r 	 t h e 	 c h i l d r e n 	 o f 	 h i s 	 p o o r 	 n e i g h b o u r 	 f r o m 	 t h e 	 p r o f i t 	 m o n e y . 	 F i n d 	 o u t :
a ) 	 T h e 	 s e l l i n g 	 p r i c e 	 o f 	 t h e 	 T V .
b ) 	 T h e 	 a m o u n t 	 o f 	 p r o f i t 	 r e c e i v e d .
c ) 	 W h a t 	 v a l u e s 	 d i d 	 R a v i 	 d e p i c t e d 	 h e r e ?
2 9 . 	 F r o m 	 t h e 	 s u m 	 o f 	 4 	 + 	 3 x 	 a n d 	 5 	 – 	 4 x 	 + 	 2 x
2
, 	 S u b t r a c t 	 t h e 	 s u m 	 o f 	 3 x
2
	 – 	 5 x 	 a n d 	 – 	 x
2
	 + 	 2 x 	 + 	 5
O R
S i m p l i f y 	 t h e 	 e x p r e s s i o n 	 2 ( a
2
	 + 	 a b ) 	 + 	 3 	 – 	 a b 	 a n d 	 f i n d 	 i t s 	 v a l u e 	 a t 	 a 	 = 	 5 , 	 b 	 = 	 - 3 .
3 0 . 	 A 	 p a t h 	 2 . 5 	 m 	 w i d e 	 i s 	 b u i l t 	 a l o n g 	 t h e 	 b o r d e r 	 i n s i d e 	 a 	 s q u a r e 	 g a r d e n 	 o f 	 s i d e 	 5 0 	 m . 	 F i n d :
a ) 	 t h e 	 a r e a 	 o f 	 t h e 	 p a t h
b ) 	 t h e 	 c o s t 	 o f 	 p l a n t i n g 	 g r a s s 	 i n 	 t h e 	 r e m a i n i n g 	 p o r t i o n 	 o f 	 t h e 	 g a r d e n 	 a t 	 t h e 	 r a t e 	 o f 	 R s . 2 0 	 p e r
m
2
.
Read More
76 videos|344 docs|39 tests

Top Courses for Class 7

FAQs on Class 7 Math: CBSE Past Year Paper - 11 - Mathematics (Maths) Class 7

1. What are the topics covered in the CBSE Class 7 Math exam?
Ans. The CBSE Class 7 Math exam covers various topics such as integers, fractions and decimals, data handling, algebraic expressions, equations, lines and angles, triangles, congruence of triangles, comparing quantities, rational numbers, and more.
2. How can I prepare for the CBSE Class 7 Math exam effectively?
Ans. To prepare for the CBSE Class 7 Math exam effectively, you can follow these tips: - Understand the concepts thoroughly by referring to your textbook and other study materials. - Practice solving different types of problems from each topic. - Make a study schedule and allocate time for regular practice. - Solve previous year question papers and sample papers to understand the exam pattern and improve time management. - Seek help from your teacher or classmates if you have any doubts. - Revise the topics regularly to strengthen your understanding.
3. Are there any important formulas or theorems that I should remember for the CBSE Class 7 Math exam?
Ans. Yes, there are some important formulas and theorems that you should remember for the CBSE Class 7 Math exam. Some of them include: - Pythagoras theorem: In a right-angled triangle, the square of the hypotenuse is equal to the sum of the squares of the other two sides. - Area of a triangle: The area of a triangle can be calculated using the formula: 1/2 * base * height. - Area of a circle: The area of a circle can be calculated using the formula: π * radius^2. - Formula for finding the nth term of an arithmetic sequence: nth term = a + (n-1)d, where 'a' is the first term and 'd' is the common difference.
4. How can I improve my problem-solving skills for the CBSE Class 7 Math exam?
Ans. To improve your problem-solving skills for the CBSE Class 7 Math exam, you can follow these strategies: - Understand the problem statement thoroughly and identify the given information. - Break down the problem into smaller parts if necessary. - Use appropriate mathematical concepts or formulas to solve the problem. - Practice solving a variety of problems from different topics to enhance your problem-solving abilities. - Analyze your mistakes and learn from them. - Work on developing logical reasoning and critical thinking skills by engaging in activities like puzzles and brain teasers.
5. What are some recommended resources for CBSE Class 7 Math exam preparation?
Ans. Some recommended resources for CBSE Class 7 Math exam preparation are: - NCERT Class 7 Math textbook - NCERT Exemplar problems for Class 7 Math - RD Sharma Class 7 Math textbook - Oswaal CBSE Question Bank Class 7 Mathematics - Previous year question papers and sample papers - Online platforms or educational websites that offer practice questions and interactive learning materials for Class 7 Math.
76 videos|344 docs|39 tests
Download as PDF
Explore Courses for Class 7 exam

Top Courses for Class 7

Signup for Free!
Signup to see your scores go up within 7 days! Learn & Practice with 1000+ FREE Notes, Videos & Tests.
10M+ students study on EduRev
Related Searches

past year papers

,

Summary

,

Class 7 Math: CBSE Past Year Paper - 11 | Mathematics (Maths) Class 7

,

Sample Paper

,

Viva Questions

,

Free

,

shortcuts and tricks

,

pdf

,

study material

,

Class 7 Math: CBSE Past Year Paper - 11 | Mathematics (Maths) Class 7

,

ppt

,

MCQs

,

Extra Questions

,

Class 7 Math: CBSE Past Year Paper - 11 | Mathematics (Maths) Class 7

,

video lectures

,

Exam

,

practice quizzes

,

Important questions

,

mock tests for examination

,

Objective type Questions

,

Previous Year Questions with Solutions

,

Semester Notes

;