CBSE Past Year Paper Session (2015), Mathematics Class 6 Class 6 Notes | EduRev
Past Year Papers For Class 6
Class 6 : CBSE Past Year Paper Session (2015), Mathematics Class 6 Class 6 Notes | EduRev
Page 1 C B S E C l a s s 6 M a t h e m a t i c s ( S A - 1 ) Q u e s t i o n P a p e r 2 0 1 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 Page 2 C B S E C l a s s 6 M a t h e m a t i c s ( S A - 1 ) Q u e s t i o n P a p e r 2 0 1 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 . Page 3 C B S E C l a s s 6 M a t h e m a t i c s ( S A - 1 ) Q u e s t i o n P a p e r 2 0 1 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 Page 4 C B S E C l a s s 6 M a t h e m a t i c s ( S A - 1 ) Q u e s t i o n P a p e r 2 0 1 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 Page 5 C B S E C l a s s 6 M a t h e m a t i c s ( S A - 1 ) Q u e s t i o n P a p e r 2 0 1 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 .Read More
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