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Page 1 T i m e : 3 H r s . M . M . : 8 0 G e n e r a l i n s t r u c t i o n s : - 1 . S e c t i o n - A Q . N o . 1 t o 1 0 c a r r i e s 1 m a r k e a c h . 2 . S e c t i o n - B Q . N o . 1 1 t o 2 0 c a r r i e s 3 m a r k s e a c h . 3 . S e c t i o n - C Q . N o . 2 1 t o 3 0 c a r r i e s 4 m a r k s e a c h . S e c t i o n - A 1 . S i m p l i f y : ( c 2 + 2 c d ) + ( - 3 c d - d 2 ) 2 . T h e s u m o f t w o c o n s e c u t i v e n u m b e r s i s S 3 , f i n d t h e n u m b e r s 3 . A z h a r o b t a i n e d 4 3 0 m a r k s o u t o f a m a x i m u m o f 5 0 0 m a r k s . C a l c u l a t e t h e p e r c e n t a g e o f m a r k s o b t a i n e d b y h i m . 4 . F i n d t h e v a l u e o f ( 3 ° + 4 ° + 5 ° ) 5 . A r e c t a n g u l a r p i e c e o f p l a s t i c s h e e t m e a s u r e s 1 m b y 7 0 c m . F i n d I t s c o s t a t t h e r a t e o f R s 8 0 p e r s q u a r e m e t r e . 6 . F i n d t h e a l t i t u d e o f a t r i a n g l e w h o s e a r e a i s 4 5 c m 2 a n d b a s e 1 5 c m . 7 . F i n d t h e m e a n o f f i r s t 4 p r i m e n u m b e r s . 8 . A J a r h a s o n e b l u e a n d 9 g r e e n m a r b l e s I n I t . W h a t i s t h e p r o b a b i l i t y o f d r a w i n g a g r e e n m a r b l e ? 9 . T h e p r o d u c t o f t w o n u m b e r s i s - 1 8 0 . I f o n e n u m b e r i s 1 2 , f i n d t h e o t h e r n u m b e r . 1 0 . F i n d t h e d i f f e r e n c e b e t w e e n o f 3 0 k m a n d o f 3 0 k m . S e c t i o n - B 1 1 . I f 4 x = 2 5 6 , t h e n f i n d t h e v a l u e o f 6 2 x - 8 . 1 2 . F r o m t h e s u m o f ( x 2 - 2 x y + y 2 ) a n d ( x 2 + 2 x y + y 2 ) s u b t r a c t ( x 2 - 4 x y + 4 y 2 ) . 1 3 . S o l v e t h e e q u a t i o n : 4 - 4 ( x - 5 ) = 2 ( 2 - x ) - 6 Page 2 T i m e : 3 H r s . M . M . : 8 0 G e n e r a l i n s t r u c t i o n s : - 1 . S e c t i o n - A Q . N o . 1 t o 1 0 c a r r i e s 1 m a r k e a c h . 2 . S e c t i o n - B Q . N o . 1 1 t o 2 0 c a r r i e s 3 m a r k s e a c h . 3 . S e c t i o n - C Q . N o . 2 1 t o 3 0 c a r r i e s 4 m a r k s e a c h . S e c t i o n - A 1 . S i m p l i f y : ( c 2 + 2 c d ) + ( - 3 c d - d 2 ) 2 . T h e s u m o f t w o c o n s e c u t i v e n u m b e r s i s S 3 , f i n d t h e n u m b e r s 3 . A z h a r o b t a i n e d 4 3 0 m a r k s o u t o f a m a x i m u m o f 5 0 0 m a r k s . C a l c u l a t e t h e p e r c e n t a g e o f m a r k s o b t a i n e d b y h i m . 4 . F i n d t h e v a l u e o f ( 3 ° + 4 ° + 5 ° ) 5 . A r e c t a n g u l a r p i e c e o f p l a s t i c s h e e t m e a s u r e s 1 m b y 7 0 c m . F i n d I t s c o s t a t t h e r a t e o f R s 8 0 p e r s q u a r e m e t r e . 6 . F i n d t h e a l t i t u d e o f a t r i a n g l e w h o s e a r e a i s 4 5 c m 2 a n d b a s e 1 5 c m . 7 . F i n d t h e m e a n o f f i r s t 4 p r i m e n u m b e r s . 8 . A J a r h a s o n e b l u e a n d 9 g r e e n m a r b l e s I n I t . W h a t i s t h e p r o b a b i l i t y o f d r a w i n g a g r e e n m a r b l e ? 9 . T h e p r o d u c t o f t w o n u m b e r s i s - 1 8 0 . I f o n e n u m b e r i s 1 2 , f i n d t h e o t h e r n u m b e r . 1 0 . F i n d t h e d i f f e r e n c e b e t w e e n o f 3 0 k m a n d o f 3 0 k m . S e c t i o n - B 1 1 . I f 4 x = 2 5 6 , t h e n f i n d t h e v a l u e o f 6 2 x - 8 . 1 2 . F r o m t h e s u m o f ( x 2 - 2 x y + y 2 ) a n d ( x 2 + 2 x y + y 2 ) s u b t r a c t ( x 2 - 4 x y + 4 y 2 ) . 1 3 . S o l v e t h e e q u a t i o n : 4 - 4 ( x - 5 ) = 2 ( 2 - x ) - 6 1 4 . A c r a t e c o n t a i n s 4 0 0 a p p l e s o u t o f w h i c h 8 d o z e n a p p l e s w e r e f o u n d s p o i l e d . F i n d t h e p e r c e n t a g e o f g o o d a p p l e s i n t h e c r a t e . 1 5 . C o n s t r u c t a r i g h t A A B C , r i g h t a n g l e d a t B , i n w h i c h A C = 1 0 c m a n d A B = 8 c m . 1 6 . A w i r e i s w o u n d t o f o r m a c i r c l e o f r a d i u s 5 6 c m . I f t h e s a m e w i r e i s c o n v e r t e d I n t o a s q u a r e , f i n d t h e s i d e o f t h i s s q u a r e . 1 7 . A n o r d i n a r y d i e i s r o l l e d , w h a t i s t h e p r o b a b i l i t y t h a t t h e n u m b e r o f d o t s o n i t s u p p e r f a c e i s a . 3 b . l e s s t h a n 3 c . a n e v e n n u m b e r 1 8 . f i n d t h e m e a n o f t h e f o l l o w i n g d i s t r i b u t i o n : x 5 1 5 2 5 3 5 4 5 f 7 8 2 0 1 0 5 1 9 . S t a r t w i t h t h e i n t e g e r - 8 . A d d - 1 2 t o i t , s u b t r a c t 1 0 f r o m t h e r e s u l t . D i v i d e t h e r e s u l t b y + 3 a n d m u l t i p l y t h e a n s w e r b y - 2 . W h a t d o y o u g e t ? 2 0 . A t a n k i s f u l l o f w a t e r , 5 0 l i t r e s m o r e a r e r e q u i r e d t o f i l l i t u p . H o w m a n y l i t r e s c a n t h e t a n k h o l d ? S e c t i o n - C 2 1 . A . R e n a m e 4 9 6 3 I n e x p a n d e d f o r m u s i n g e x p o n e n t s B . S i m p l i f y : 2 y - ( 3 y + 2 ) - 6 + ( 3 y - 8 ) 2 2 . T h e t o t a l n u m b e r o f s t u d e n t s i n a s c h o o l i s 1 2 6 0 . I f t h e n u m b e r o f g i r l s i s 5 2 m o r e t h a n t h a t o f t h e b o y s , f i n d t h e n u m b e r o f b o y s i n t h e s c h o o l . A l s o f i n d t h e n u m b e r o f g i r l s . 2 3 . A n w a r s o l d t w o w a s h i n g m a c h i n e s a t R s 1 2 0 0 0 e a c h . O n o n e h e g a i n e d 2 5 % a n d o n t h e o t h e r h e l o s e s 2 5 % . H o w m u c h d o e s h e g a i n o r l o s e I n t h e w h o l e t r a n s a c t i o n ? 2 4 . D r a w F G H i n w h i c h a n d G H = 5 . 6 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 s i d e G H . 2 5 . A g a r d e n i s 9 0 m l o n g a n d 7 5 m b r o a d . A p a t h 5 m w i d e i s t o b e b u i l t o u t s i d e a l l a r o u n d i t a l o n g i t s b o r d e r . F i n d t h e a r e a o f t h e p a t h . 2 6 . T h e t a b l e s h o w s A r u n a n d S a n j a y ' s t e s t s c o r e s . T e s t s w e r e m a r k e d o u t o f 2 0 . D r a w a d u a l c h a r t i n s a m e g r a p h . E n g l i s h M a t h s S c i e n c e H i s t o r y G e o g r a p h y H i n d i A r t Page 3 T i m e : 3 H r s . M . M . : 8 0 G e n e r a l i n s t r u c t i o n s : - 1 . S e c t i o n - A Q . N o . 1 t o 1 0 c a r r i e s 1 m a r k e a c h . 2 . S e c t i o n - B Q . N o . 1 1 t o 2 0 c a r r i e s 3 m a r k s e a c h . 3 . S e c t i o n - C Q . N o . 2 1 t o 3 0 c a r r i e s 4 m a r k s e a c h . S e c t i o n - A 1 . S i m p l i f y : ( c 2 + 2 c d ) + ( - 3 c d - d 2 ) 2 . T h e s u m o f t w o c o n s e c u t i v e n u m b e r s i s S 3 , f i n d t h e n u m b e r s 3 . A z h a r o b t a i n e d 4 3 0 m a r k s o u t o f a m a x i m u m o f 5 0 0 m a r k s . C a l c u l a t e t h e p e r c e n t a g e o f m a r k s o b t a i n e d b y h i m . 4 . F i n d t h e v a l u e o f ( 3 ° + 4 ° + 5 ° ) 5 . A r e c t a n g u l a r p i e c e o f p l a s t i c s h e e t m e a s u r e s 1 m b y 7 0 c m . F i n d I t s c o s t a t t h e r a t e o f R s 8 0 p e r s q u a r e m e t r e . 6 . F i n d t h e a l t i t u d e o f a t r i a n g l e w h o s e a r e a i s 4 5 c m 2 a n d b a s e 1 5 c m . 7 . F i n d t h e m e a n o f f i r s t 4 p r i m e n u m b e r s . 8 . A J a r h a s o n e b l u e a n d 9 g r e e n m a r b l e s I n I t . W h a t i s t h e p r o b a b i l i t y o f d r a w i n g a g r e e n m a r b l e ? 9 . T h e p r o d u c t o f t w o n u m b e r s i s - 1 8 0 . I f o n e n u m b e r i s 1 2 , f i n d t h e o t h e r n u m b e r . 1 0 . F i n d t h e d i f f e r e n c e b e t w e e n o f 3 0 k m a n d o f 3 0 k m . S e c t i o n - B 1 1 . I f 4 x = 2 5 6 , t h e n f i n d t h e v a l u e o f 6 2 x - 8 . 1 2 . F r o m t h e s u m o f ( x 2 - 2 x y + y 2 ) a n d ( x 2 + 2 x y + y 2 ) s u b t r a c t ( x 2 - 4 x y + 4 y 2 ) . 1 3 . S o l v e t h e e q u a t i o n : 4 - 4 ( x - 5 ) = 2 ( 2 - x ) - 6 1 4 . A c r a t e c o n t a i n s 4 0 0 a p p l e s o u t o f w h i c h 8 d o z e n a p p l e s w e r e f o u n d s p o i l e d . F i n d t h e p e r c e n t a g e o f g o o d a p p l e s i n t h e c r a t e . 1 5 . C o n s t r u c t a r i g h t A A B C , r i g h t a n g l e d a t B , i n w h i c h A C = 1 0 c m a n d A B = 8 c m . 1 6 . A w i r e i s w o u n d t o f o r m a c i r c l e o f r a d i u s 5 6 c m . I f t h e s a m e w i r e i s c o n v e r t e d I n t o a s q u a r e , f i n d t h e s i d e o f t h i s s q u a r e . 1 7 . A n o r d i n a r y d i e i s r o l l e d , w h a t i s t h e p r o b a b i l i t y t h a t t h e n u m b e r o f d o t s o n i t s u p p e r f a c e i s a . 3 b . l e s s t h a n 3 c . a n e v e n n u m b e r 1 8 . f i n d t h e m e a n o f t h e f o l l o w i n g d i s t r i b u t i o n : x 5 1 5 2 5 3 5 4 5 f 7 8 2 0 1 0 5 1 9 . S t a r t w i t h t h e i n t e g e r - 8 . A d d - 1 2 t o i t , s u b t r a c t 1 0 f r o m t h e r e s u l t . D i v i d e t h e r e s u l t b y + 3 a n d m u l t i p l y t h e a n s w e r b y - 2 . W h a t d o y o u g e t ? 2 0 . A t a n k i s f u l l o f w a t e r , 5 0 l i t r e s m o r e a r e r e q u i r e d t o f i l l i t u p . H o w m a n y l i t r e s c a n t h e t a n k h o l d ? S e c t i o n - C 2 1 . A . R e n a m e 4 9 6 3 I n e x p a n d e d f o r m u s i n g e x p o n e n t s B . S i m p l i f y : 2 y - ( 3 y + 2 ) - 6 + ( 3 y - 8 ) 2 2 . T h e t o t a l n u m b e r o f s t u d e n t s i n a s c h o o l i s 1 2 6 0 . I f t h e n u m b e r o f g i r l s i s 5 2 m o r e t h a n t h a t o f t h e b o y s , f i n d t h e n u m b e r o f b o y s i n t h e s c h o o l . A l s o f i n d t h e n u m b e r o f g i r l s . 2 3 . A n w a r s o l d t w o w a s h i n g m a c h i n e s a t R s 1 2 0 0 0 e a c h . O n o n e h e g a i n e d 2 5 % a n d o n t h e o t h e r h e l o s e s 2 5 % . H o w m u c h d o e s h e g a i n o r l o s e I n t h e w h o l e t r a n s a c t i o n ? 2 4 . D r a w F G H i n w h i c h a n d G H = 5 . 6 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 s i d e G H . 2 5 . A g a r d e n i s 9 0 m l o n g a n d 7 5 m b r o a d . A p a t h 5 m w i d e i s t o b e b u i l t o u t s i d e a l l a r o u n d i t a l o n g i t s b o r d e r . F i n d t h e a r e a o f t h e p a t h . 2 6 . T h e t a b l e s h o w s A r u n a n d S a n j a y ' s t e s t s c o r e s . T e s t s w e r e m a r k e d o u t o f 2 0 . D r a w a d u a l c h a r t i n s a m e g r a p h . E n g l i s h M a t h s S c i e n c e H i s t o r y G e o g r a p h y H i n d i A r t A r u n 2 0 7 1 2 1 4 1 6 1 8 1 1 S a n j a y 1 7 1 3 1 8 9 1 9 1 0 8 2 7 . A J a r c o n t a i n s 3 w h i t e , 4 b l u e , 5 r e d a n d 2 g r e e n m a r b l e s . I f a m a r b l e i s d r a w n a t r a n d o m f r o m t h e j a r , w h a t i s t h e p r o b a b i l i t y t h a t t h e m a r b l e i s : a . W h i t e b . r e d c . b l u e d . n o t w h i t e 2 8 . G i v e n t h a t t h e m e a n o f f i v e n u m b e r s i s 2 7 . I f o n e o f t h e n u m b e r s i s e x c l u d e d , t h e m e a n b e c o m e s 2 5 . D e t e r m i n e t h e e x c l u d e d n u m b e r . 2 9 . A r o a d 3 . 5 m w i d e s u r r o u n d s a c i r c u l a r p l o t w h o s e c i r c u m f e r e n c e i s 4 4 m . F i n d t h e c o s t o f p a v i n g t h e r o a d a t R s . 2 0 p e r m 2 ( t a k e ) 3 0 . A B a n d C D i n t e r s e c t e a c h o t h e r a t O a n d O i s t h e m i d - p o i n t o f b o t h A B a n d C D . P r o v e t h a t A C = B D a n d A C | | B D .Read More
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FAQs on Class 7 Math: CBSE Past Year Paper - 4 - Mathematics (Maths) Class 7
| 1. What is the CBSE board? |  |
Ans. The CBSE (Central Board of Secondary Education) is a national level board of education in India that conducts examinations for secondary and senior secondary classes.
| 2. How can I access CBSE past year papers for Class 7 Math? | |
Ans. CBSE past year papers for Class 7 Math can be accessed through various online platforms, educational websites, or official CBSE websites. These papers are available for free download or can be purchased from bookstores.
| 3. Why is it important to solve CBSE past year papers for Class 7 Math? | |
Ans. Solving CBSE past year papers for Class 7 Math helps students in understanding the exam pattern, marking scheme, and the types of questions asked in previous years. It also aids in improving time management skills and identifying weak areas for focused preparation.
| 4. Are CBSE past year papers for Class 7 Math helpful for the final exams? | |
Ans. Yes, CBSE past year papers for Class 7 Math are extremely helpful for final exams. These papers give students a clear idea of the question format, important topics, and the level of difficulty expected in the exam. Regular practice of these papers can boost confidence and enhance performance in the final exams.
| 5. Can CBSE past year papers for Class 7 Math help in scoring better marks? | |
Ans. Yes, solving CBSE past year papers for Class 7 Math can definitely help in scoring better marks. By practicing these papers, students become familiar with the exam pattern and gain confidence in tackling different types of questions. It also helps in identifying common mistakes and rectifying them before the actual exam, leading to improved performance and higher scores.
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