Class 6 Exam  >  Class 6 Notes  >  Class 6 Math: CBSE Past Year Paper - 8

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 Page 1


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


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


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


G e n e r a l 	 I n s t r u c t i o n s :
a ) 	 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 .
b ) 	 T h e 	 q u e s t i o n 	 p a p e r 	 c o n s i s t s 	 o f 	 3 4 	 q u e s t i o n s 	 d i v i d e d 	 i n t o 	 4 	 s e c t i o n s 	 A , 	 B , 	 C 	 a n d 	 D . 	 S e c t i o n 	 A
( Q 1 	 t o 	 Q 8 ) 	 c o n t a i n s 	 8 	 m u l t i p l e 	 c h o i c e 	 t y p e 	 q u e s t i o n s 	 ( M C Q ) 	 w h i c h 	 c a r r i e s 	 1 	 m a r k s 	 e a c h . 	 F o r
e a c h 	 q u e s t i o n , 	 f o u r 	 a l t e r n a t i v e 	 c h o i c e s 	 h a v e 	 b e e n 	 p r o v i d e 	 o f 	 w h i c h 	 o n l y 	 o n e 	 i s 	 c o r r e c t . 	 Y o u
h a v e 	 t o 	 s e l e c t 	 t h e 	 c u r r e n t 	 c h o i c e . 	 S e c t i o n 	 B 	 ( Q 9 	 t o 	 Q 1 4 ) 	 c o n t a i n s 	 6 	 q u e s t i o n s 	 o f 	 2 	 m a r k s 	 e a c h ,
S e c t i o n 	 C 	 ( Q 1 5 	 t o 	 Q 2 4 ) 	 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 , 	 S e c t i o n 	 D 	 ( Q 2 5 	 t o 	 Q 3 4 ) 	 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 .
c ) 	 Q u e s t i o n 	 n u m b e r s 	 1 	 t o 	 8 	 i n 	 S e c t i o n 	 A 	 a r e 	 m u l t i p l e 	 c h o i c e 	 q u e s t i o n s 	 w h e r e 	 y o u 	 a r e 	 t o 	 s e l e c t
o p t i o n 	 o u t 	 o f 	 t h e 	 g i v e n 	 f o u r .
d ) 	 U s e 	 o f 	 c a l c u l a t o r s 	 i s 	 n o t 	 p e r m i t t e d .
S e c t i o n 	 – 	 A
1 . 	 I f 	 a 	 n u m b e r 	 i s 	 d i v i d e d 	 b y 	 3 	 i t 	 i s 	 a l s o 	 d i v i s i b l e 	 b y : -
a ) 	 6
b ) 	 9
c ) 	 B o t h 	 6 	 a n d 	 9
d ) 	 N o n e 	 o f 	 t h e s e
2 . 	 T h e 	 e s t i m a t e d 	 p r o d u c t : 	 9 	 7 9 5 	 × 	 i s :
a ) 	 7 9 5 0
b ) 	 7 9 0 0
c ) 	 7 0 0 0
d ) 	 8 0 0 0
3 . 	 C o m m o n 	 e n d 	 p o i n t 	 o f 	 t h e 	 t w o 	 r a d i i 	 o f 	 a 	 c i r c l e 	 i s
a ) 	 O n 	 t h e 	 c i r c u m f e r e n c e
b ) 	 I n 	 t h e 	 e x t e r i o r 	 o f 	 t h e 	 c i r c l e
c ) 	 C e n t r e
d ) 	 N o n e 	 o f 	 t h e s e
4 . 	 T h e 	 p r e d e c e s s o r 	 o f 	 t h e 	 n a t u r a l 	 n u m b e r 	 1 	 i s
a ) 	 - 1
b ) 	 0
c ) 	 N o n e
d ) 	 2 2
5 . 	 A 	 f r a c t i o n 	 e q u i v a l e n t 	 t o 	
( a ) 	
( b ) 	
( c ) 	
d ) 	 N o n e 	 o f 	 t h e s e
6 . 	 I n t e g e r 	 w h i c h 	 i s 	 4 	 m o r e 	 t h a n 	 - 9 	 i s
a ) 	 4
b ) 	 - 5
c ) 	 5
d ) 	 - 4
7 . 	 W h i c h 	 e x p r e s s i o n 	 i s 	 e q u a l 	 t o 	 7 9 	 × 	 5
a ) 	 7 	 × 	 ( 9 + 	 5 )
b ) 	 5 	 × 	 ( 7 0 + 	 9 )
c ) 	 5 	 × 	 ( 7 0 + 	 5 )
d ) 	 7 0 	 × 	 ( 9 	 + 5 )
8 . 	 I f 	 w e 	 s u b t r a c t 	 3 	 f r o m 	 - 5 	 w e 	 g e t
a ) 	 8
b ) 	 2
c ) 	 - 8
d ) 	 - 2
S e c t i o n 	 – 	 B
9 . 	 P l a c e 	 c o m m a s 	 c o r r e c t l y 	 a n d 	 w r i t e 	 t h e 	 n u m b e r s 	 i n 	 f i g u r e s :
a ) 	 S e v e n 	 m i l l i o n 	 t w o 	 h u n d r e d 	 f i f t y 	 s i x 	 t h o u s a n d 	 t h i r t e e n
b ) 	 F o r t y 	 n i n e 	 c r o r e 	 e i g h t e e n 	 t h o u s a n d 	 t h r e e
1 0 . 	 S o l v e 	 u s i n g 	 n u m b e r 	 l i n e : 	 ( - 5 ) 	 + 	 8
1 1 . 	 U s e 	 d i v i s i b i l i t y 	 t e s t 	 a n d 	 c h e c k 	 i f 	 6 8 0 0 	 i s 	 d i v i s i b l e 	 b y
1 2 . 	 T h e 	 n u m b e r 	 o f 	 c h i l d r e n 	 i n 	 V I 	 D 	 a n d 	 V I 	 E 	 a r e 	 4 3 	 a n d 	 4 7 	 r e s p e c t i v e l y . 	 I f 	 e a c h 	 c h i l d
p a y s 	 R s 	 1 3 5 0 	 a s 	 d o n a t i o n 	 a m o u n t , 	 h o w 	 m u c h 	 m o n e y 	 w i l l 	 b e 	 c o l l e c t e d 	 b y 	 b o t h 	 t h e
s e c t i o n s . 	 ( U s e 	 p r o p e r t y )
1 3 . 	 F i n d 	 a 	 d i g i t 	 f o r 	 t h e 	 b l a n k 	 s p a c e 	 o f 	 t h e 	 f o l l o w i n g 	 n u m b e r 	 s o 	 t h a t 	 t h e 	 n u m b e r 	 i s
d i v i s i b l e 	 b y 	 1 1 : 9 _ 8 	 0 	 7 	 1
1 4 . 	 O b s e r v e 	 t h e 	 f i g u r e 	 a n d 	 s t a t e 	 T R U E 	 o r 	 F A L S E
a ) 	 P o i n t 	 Z 	 i s 	 i n 	 t h e 	 i n t e r i o r 	 o f 	 ? D C B
b ) 	 P o i n t 	 X 	 i s 	 o n 	 ? A B C
c ) 	 P o i n t 	 W 	 i s 	 t h e 	 o n l y 	 p o i n t 	 i n 	 t h e 	 e x t e r i o r 	 o f 	 ? D C B
d ) 	 P o i n t 	 A 	 i s 	 n e i t h e r 	 i n 	 t h e 	 e x t e r i o r 	 n o r 	 i n 	 t h e 	 i n t e r i o r 	 o f 	 ? A B C
S e c t i o n 	 – 	 C
1 5 . 	 T h e 	 n u m b e r 	 o f 	 s h e e t s 	 o f 	 p a p e r 	 a v a i l a b l e 	 f o r 	 m a k i n g 	 n o t e b o o k s 	 i s 	 7 5 0 0 0 . 	 E a c h 	 s h e e t
m a k e s 	 8 	 p a g e s 	 o f 	 a 	 n o t e b o o k . 	 E a c h 	 n o t e b o o k 	 c o n t a i n s 	 1 5 0 	 p a g e s . 	 H o w 	 m a n y 	 n o t e b o o k s
c a n 	 b e 	 m a d e 	 f r o m 	 t h e 	 p a p e r 	 a v a i l a b l e ?
1 6 . 	 O b s e r v e 	 t h e 	 f i g u r e 	 a n d 	 n a m e :
a ) 	 T h r e e 	 t r i a n g l e s
b ) 	 S e v e n 	 a n g l e s
c ) 	 T h e 	 t r i a n g l e s 	 w h i c h 	 s h a r e 	 v e r t e x 	 O .
1 7 . 	 S i m p l i f y : 	 3 0 - 	 5 × 	 2 	 o f 	 3 	 + 	 ( 1 9 - 	 6 ÷ 	 2 ) 	 ÷ 	 8
1 8 . 	 S o l v e 	 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 ) 	 7 7 7 × 	 1 0 2
b ) 	 9 9 5 × 	 2 7 6
1 9 . 	 M r . 	 V a s a n 	 s h a r e d 	 s o m e 	 m o n e y 	 b e t w e e n 	 h i s 	 t w o 	 s o n s . 	 F i r s t 	 s o n 	 i s 	 g i v e n 	 	 w h i l e
s e c o n d 	 s o n 	 r e c e i v e s 	 1 5 0 0 . 	 H o w 	 m u c h 	 m o n e y 	 w a s 	 s h a r e d 	 o u t 	 b e t w e e n 	 t h e 	 t w o 	 s o n s ? 	 H o w
m u c h 	 m o n e y 	 d i d 	 t h e 	 f i r s t 	 s o n 	 r e c e i v e ?
2 0 . 	 S i m p l i f y : 	
a ) 	 T h e 	 s u m 	 o f 	 t w o 	 i n t e g e r s 	 i s 	 2 3 8 . 	 I f 	 o n e 	 o f 	 t h e 	 i n t e g e r s 	 i s 	 - 1 2 2 , 	 d e t e r m i n e 	 t h e 	 o t h e r .
b ) 	 F i n d 	 t h e 	 s u m 	 o f 	 ( - 2 1 6 ) , 	 ( + 7 6 0 ) , 	 ( 5 0 0 ) , 	 a n d 	 ( + 3 3 )
2 2 . 	 D r a w 	 q u a d r i l a t e r a l 	 X Y Z W 	 a n d 	 n a m e :
a ) 	 O n e 	 p a i r 	 o f 	 o p p o s i t e 	 a n g l e s
b ) 	 T w o 	 p a i r s 	 o f 	 o p p o s i t e 	 s i d e s
c ) 	 D i a g o n a l s
d ) 	 O n e 	 p a i r 	 o f 	 a d j a c e n t 	 s i d e s
2 3 . 	 a ) 	 R e d u c e 	 t h e 	 f r a c t i o n 	 	 t o 	 l o w e s t 	 t e r m
b ) 	 R e a r r a n g e 	 i n 	 d e s c e n d i n g 	 o r d e r 	
2 4 . 	 T h r e e 	 c a n s 	 o f 	 w a t e r 	 c o n t a i n 	 5 2 7 	 l i t r e s , 	 6 4 6 	 l i t r e s 	 a n d 	 7 4 8 	 l i t r e s 	 o f 	 w a t e r 	 r e s p e c t i v e l y .
F i n d 	 t h e 	 c a p a c i t y 	 o f 	 t h e 	 b i g g e s t 	 c o n t a i n e r 	 w h i c h 	 c a n 	 m e a s u r e 	 t h e 	 w a t e r 	 i n 	 t h e s e 	 t h r e e
c a n s 	 e x a c t l y ?
S e c t i o n 	 – 	 D
2 5 . 	 a ) 	 A n s w e r 	 i n 	 o n e 	 w o r d :
i . 	 H o w 	 m a n y 	 l i n e 	 c a n 	 p a s s 	 t h r o u g h 	 a 	 g i v e n 	 p o i n t ?
i i . 	 W h a t 	 i s 	 a 	 s i m p l e 	 c u r v e 	 m a d e 	 o f 	 e n t i r e l y 	 l i n e 	 s e g m e n t s 	 k n o w n 	 a s ?
i i i . 	 W h a t 	 d o 	 w e 	 g e t 	 w h e n 	 a 	 l i n e 	 s e g m e n t 	 X Y 	 i s 	 e x t e n d e d 	 i n d e f i n i t e l y 	 i n 	 b o t h 	 t h e 	 d i r e c t i o n s ?
i v . 	 W h a t 	 i s 	 a 	 s e g m e n t 	 j o i n i n g 	 t w o 	 n o n - a d j a c e n t 	 v e r t i c e s 	 o f 	 a 	 q u a d r i l a t e r a l 	 c a l l e d 	 a s ?
b ) 	 F i l l 	 i n 	 t h e 	 b l a n k s :
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FAQs on Class 6 Math: CBSE Past Year Paper - 8

1. What are the topics covered in CBSE Class 6 Math?
Ans. The topics covered in CBSE Class 6 Math include whole numbers, basic geometrical ideas, integers, fractions, decimals, data handling, mensuration, algebra, ratio and proportion, symmetry, practical geometry, and more.
2. How can I prepare for the CBSE Class 6 Math exam effectively?
Ans. To prepare for the CBSE Class 6 Math exam effectively, you can follow these tips: - Understand the concepts thoroughly by referring to your textbook and solving examples. - Practice solving a variety of problems to enhance your problem-solving skills. - Make a study schedule and allocate time for each topic. - Take help from your teacher or classmates if you have any doubts. - Solve previous year question papers to understand the exam pattern and gain confidence.
3. How can I improve my mental math skills for the CBSE Class 6 Math exam?
Ans. To improve your mental math skills for the CBSE Class 6 Math exam, you can try the following techniques: - Practice mental calculations regularly by solving simple arithmetic problems in your head. - Memorize multiplication tables up to a certain number to facilitate quick calculations. - Use mental math strategies like breaking down numbers, estimation, and rounding off to simplify complex calculations. - Engage in math-related activities and games that require mental calculations, such as puzzles or Sudoku.
4. Are there any recommended reference books for CBSE Class 6 Math?
Ans. Yes, there are several recommended reference books for CBSE Class 6 Math. Some popular ones include: - NCERT Mathematics textbook for Class 6 - Mathematics Foundation Course for JEE/Olympiad/NTSE: Class 6 by R.D. Sharma - Mathematics for Class 6 by R.S. Aggarwal - Mathematics for Class 6 by Lakhmir Singh and Manjit Kaur It is advisable to consult your teacher or school for specific recommendations based on the curriculum.
5. How can I score well in the CBSE Class 6 Math exam?
Ans. To score well in the CBSE Class 6 Math exam, you can follow these tips: - Understand the concepts thoroughly and practice solving a variety of problems. - Solve previous year question papers and sample papers to familiarize yourself with the exam pattern. - Pay attention to the presentation of your answers. Clearly label the steps and write in a legible manner. - Practice time management during the exam to ensure you complete all the questions within the given time. - Revise regularly and seek help from your teacher or classmates if you have any doubts or difficulties understanding certain topics.
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