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Page 1 T i m e : 2 : 3 0 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 : i . 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 . i i . 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 0 q u e s t i o n 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 . i i i . S e c t i o n A c o n t a i n s Q u e s t i o n n u m b e r s 1 t o 6 o f 1 m a r k e a c h . i v . S e c t i o n B c o n t a i n s Q u e s t i o n n u m b e r s 7 t o 1 2 o f 2 m a r k s e a c h . v . S e c t i o n C c o n t a i n s Q u e s t i o n n u m b e r s 1 3 t o 2 2 o f 3 m a r k s e a c h . v i . S e c t i o n D c o n t a i n s Q u e s t i o n n u m b e r s 2 3 t o 3 0 o f 4 m a r k s e a c h . v i i . I n q u e s t i o n o f c o n s t r u c t i o n , t h e d r a w i n g s h o u l d b e n e a t a n d e x a c t l y a s p e r t h e g i v e n m e a s u r e m e n t s . S E C T I O N - A 1 . I f t h e d i a m e t e r o f a c i r c l e i s 1 4 c m . F i n d i t s c i r c u m f e r e n c e . 2 . S u b t r a c t 6 x y f r o m - 1 2 x y . 3 . E x p r e s s 6 4 8 a s p r o d u c t o f p o w e r s o f t h e i r p r i m e f a c t o r s . 4 . N a m e a n y t w o f i g u r e s t h a t h a v e b o t h l i n e o f s y m m e t r y a n d r o t a t i o n a l s y m m e t r y . 5 . W r i t e a r a t i o n a l n u m b e r b e t w e e n a n d 6 . I d e n t i f y t e r m s i n 8 - x y 2 w h i c h c o n t a i n s y 2 a n d g i v e t h e c o e f f i c i e n t o f y 2 S E C T I O N - B 7 . F i n d i . 7 5 % o f 1 k g i i . 1 % o f 1 0 0 8 . W h a t o t h e r n a m e c a n y o u g i v e n t o t h e l i n e o f s y m m e t r y o f : 1 . A n i s o s c e l e s t r i a n g l e ? 2 . A c i r c l e ? 9 . I f t w o c u b e s o f d i m e n s i o n 2 c m a r e p l a c e d s i d e b y s i d e , w h a t w o u l d t h e d i m e n s i o n s o f t h e Page 2 T i m e : 2 : 3 0 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 : i . 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 . i i . 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 0 q u e s t i o n 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 . i i i . S e c t i o n A c o n t a i n s Q u e s t i o n n u m b e r s 1 t o 6 o f 1 m a r k e a c h . i v . S e c t i o n B c o n t a i n s Q u e s t i o n n u m b e r s 7 t o 1 2 o f 2 m a r k s e a c h . v . S e c t i o n C c o n t a i n s Q u e s t i o n n u m b e r s 1 3 t o 2 2 o f 3 m a r k s e a c h . v i . S e c t i o n D c o n t a i n s Q u e s t i o n n u m b e r s 2 3 t o 3 0 o f 4 m a r k s e a c h . v i i . I n q u e s t i o n o f c o n s t r u c t i o n , t h e d r a w i n g s h o u l d b e n e a t a n d e x a c t l y a s p e r t h e g i v e n m e a s u r e m e n t s . S E C T I O N - A 1 . I f t h e d i a m e t e r o f a c i r c l e i s 1 4 c m . F i n d i t s c i r c u m f e r e n c e . 2 . S u b t r a c t 6 x y f r o m - 1 2 x y . 3 . E x p r e s s 6 4 8 a s p r o d u c t o f p o w e r s o f t h e i r p r i m e f a c t o r s . 4 . N a m e a n y t w o f i g u r e s t h a t h a v e b o t h l i n e o f s y m m e t r y a n d r o t a t i o n a l s y m m e t r y . 5 . W r i t e a r a t i o n a l n u m b e r b e t w e e n a n d 6 . I d e n t i f y t e r m s i n 8 - x y 2 w h i c h c o n t a i n s y 2 a n d g i v e t h e c o e f f i c i e n t o f y 2 S E C T I O N - B 7 . F i n d i . 7 5 % o f 1 k g i i . 1 % o f 1 0 0 8 . W h a t o t h e r n a m e c a n y o u g i v e n t o t h e l i n e o f s y m m e t r y o f : 1 . A n i s o s c e l e s t r i a n g l e ? 2 . A c i r c l e ? 9 . I f t w o c u b e s o f d i m e n s i o n 2 c m a r e p l a c e d s i d e b y s i d e , w h a t w o u l d t h e d i m e n s i o n s o f t h e r e s u l t i n g c u b o i d b e . 1 0 . W h a t i s t h a t n u m b e r o f w h i c h a d d e d t o 5 g i v e s 8 1 1 . F i n d : 1 2 . O n e o f t h e a n g l e o f a t r i a n g l e i s a n d o t h e r s t w o a n g l e s a r e e q u a l . F i n d t h e m e a s u r e o f e a c h o f t h e e q u a l a n g l e s , a l s o w r i t e t h e t y p e o f t r i a n g l e . S E C T I O N - C 1 3 . I f t h e a n g l e s o f a t r i a n g l e a r e i n t h e r a t i o 2 : 3 : 4 t h e n f i n d t h e v a l u e o f e a c h a n g l e . 1 4 . a . A d d b . M u l t i p l y 1 5 . C o n s t r u c t a n i s o s c e l e s r i g h t a n g l e d t r i a n g l e A B C w h e r e m e a s u r e o f a n g l e A C B = a n d A C = 6 c m . 1 6 . T h e a r e a o f s q u a r e p a r k i s t h e s a m e a s o f a r e c t a n g u l a r p a r k . I f t h e s i d e o f t h e s q u a r e p a r k i s 6 0 c m a n d t h e l e n g t h o f t h e r e c t a n g u l a r p a r k i s 9 0 m , F i n d t h e b r e a d t h o f t h e r e c t a n g u l a r p a r k . 1 7 . i . W h a t s h o u l d b e t a k e n a w a y f o r m 3 x 2 - 4 y 2 + 5 x y + 2 0 t o o b t a i n - x 2 - y 2 + 6 x y + 2 0 ? i i . I f m = 2 , F i n d t h e v a l u e o f 3 m 2 - 2 m - 7 . 1 8 . C o n s t r u c t , g i v e n a n g l e , a n g l e a n d A B = 5 . 8 c m . 1 9 . I n t h e f o l l o w i n g f i g u r e s , t h e m i r r o r I j n e ( i . e . , t h e l i n e o f s y m m e t r y ) i s g i v e n a s a d o t t e d l i n e . C o m p l e t e e a c h f i g u r e p e r f o r m i n g r e f l e c t i o n i n t h e d o t t e d ( m i r r o r ) l i n e . 2 0 . A c i r c u l a r f l o w e r b e d i s s u r r o u n d e d b y a p a t h 4 m w i d e , T h e d i a m e t e r o f a f l o w e r b e d i s 6 6 m . W h a t i s t h e a r e a o f t h e p a t h . ( u s e ) 2 1 . W h a t s h o u l d b e t h e v a l u e o f a i f t h e v a l u e o f 2 x 2 + x - a = 5 w h e n x = 0 ? 2 2 . A f t e r 1 5 y e a r s H e m a ' s a g e w i l l b e c o m e 4 t i m e s t h a t o f h e r p r e s e n t a g e , f i n d h e r p r e s e n t Page 3 T i m e : 2 : 3 0 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 : i . 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 . i i . 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 0 q u e s t i o n 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 . i i i . S e c t i o n A c o n t a i n s Q u e s t i o n n u m b e r s 1 t o 6 o f 1 m a r k e a c h . i v . S e c t i o n B c o n t a i n s Q u e s t i o n n u m b e r s 7 t o 1 2 o f 2 m a r k s e a c h . v . S e c t i o n C c o n t a i n s Q u e s t i o n n u m b e r s 1 3 t o 2 2 o f 3 m a r k s e a c h . v i . S e c t i o n D c o n t a i n s Q u e s t i o n n u m b e r s 2 3 t o 3 0 o f 4 m a r k s e a c h . v i i . I n q u e s t i o n o f c o n s t r u c t i o n , t h e d r a w i n g s h o u l d b e n e a t a n d e x a c t l y a s p e r t h e g i v e n m e a s u r e m e n t s . S E C T I O N - A 1 . I f t h e d i a m e t e r o f a c i r c l e i s 1 4 c m . F i n d i t s c i r c u m f e r e n c e . 2 . S u b t r a c t 6 x y f r o m - 1 2 x y . 3 . E x p r e s s 6 4 8 a s p r o d u c t o f p o w e r s o f t h e i r p r i m e f a c t o r s . 4 . N a m e a n y t w o f i g u r e s t h a t h a v e b o t h l i n e o f s y m m e t r y a n d r o t a t i o n a l s y m m e t r y . 5 . W r i t e a r a t i o n a l n u m b e r b e t w e e n a n d 6 . I d e n t i f y t e r m s i n 8 - x y 2 w h i c h c o n t a i n s y 2 a n d g i v e t h e c o e f f i c i e n t o f y 2 S E C T I O N - B 7 . F i n d i . 7 5 % o f 1 k g i i . 1 % o f 1 0 0 8 . W h a t o t h e r n a m e c a n y o u g i v e n t o t h e l i n e o f s y m m e t r y o f : 1 . A n i s o s c e l e s t r i a n g l e ? 2 . A c i r c l e ? 9 . I f t w o c u b e s o f d i m e n s i o n 2 c m a r e p l a c e d s i d e b y s i d e , w h a t w o u l d t h e d i m e n s i o n s o f t h e r e s u l t i n g c u b o i d b e . 1 0 . W h a t i s t h a t n u m b e r o f w h i c h a d d e d t o 5 g i v e s 8 1 1 . F i n d : 1 2 . O n e o f t h e a n g l e o f a t r i a n g l e i s a n d o t h e r s t w o a n g l e s a r e e q u a l . F i n d t h e m e a s u r e o f e a c h o f t h e e q u a l a n g l e s , a l s o w r i t e t h e t y p e o f t r i a n g l e . S E C T I O N - C 1 3 . I f t h e a n g l e s o f a t r i a n g l e a r e i n t h e r a t i o 2 : 3 : 4 t h e n f i n d t h e v a l u e o f e a c h a n g l e . 1 4 . a . A d d b . M u l t i p l y 1 5 . C o n s t r u c t a n i s o s c e l e s r i g h t a n g l e d t r i a n g l e A B C w h e r e m e a s u r e o f a n g l e A C B = a n d A C = 6 c m . 1 6 . T h e a r e a o f s q u a r e p a r k i s t h e s a m e a s o f a r e c t a n g u l a r p a r k . I f t h e s i d e o f t h e s q u a r e p a r k i s 6 0 c m a n d t h e l e n g t h o f t h e r e c t a n g u l a r p a r k i s 9 0 m , F i n d t h e b r e a d t h o f t h e r e c t a n g u l a r p a r k . 1 7 . i . W h a t s h o u l d b e t a k e n a w a y f o r m 3 x 2 - 4 y 2 + 5 x y + 2 0 t o o b t a i n - x 2 - y 2 + 6 x y + 2 0 ? i i . I f m = 2 , F i n d t h e v a l u e o f 3 m 2 - 2 m - 7 . 1 8 . C o n s t r u c t , g i v e n a n g l e , a n g l e a n d A B = 5 . 8 c m . 1 9 . I n t h e f o l l o w i n g f i g u r e s , t h e m i r r o r I j n e ( i . e . , t h e l i n e o f s y m m e t r y ) i s g i v e n a s a d o t t e d l i n e . C o m p l e t e e a c h f i g u r e p e r f o r m i n g r e f l e c t i o n i n t h e d o t t e d ( m i r r o r ) l i n e . 2 0 . A c i r c u l a r f l o w e r b e d i s s u r r o u n d e d b y a p a t h 4 m w i d e , T h e d i a m e t e r o f a f l o w e r b e d i s 6 6 m . W h a t i s t h e a r e a o f t h e p a t h . ( u s e ) 2 1 . W h a t s h o u l d b e t h e v a l u e o f a i f t h e v a l u e o f 2 x 2 + x - a = 5 w h e n x = 0 ? 2 2 . A f t e r 1 5 y e a r s H e m a ' s a g e w i l l b e c o m e 4 t i m e s t h a t o f h e r p r e s e n t a g e , f i n d h e r p r e s e n t a g e . S E C T I O N - D 2 3 . C o n s t r u c t s u c h t h a t A B = 2 . 5 c m , B C = 6 c m a n d A C = 6 . 5 c m . M e a s u r e a n g l e B . 2 4 . I f M e e n a g i v e s a n i n t e r e s t o f R s . 4 5 f o r o n e y e a r a t 9 % r a t e p . a . W h a t i s t h e s u m s h e h a s b o r r o w e d ? 2 5 . i . A d d : 3 p 2 q 2 - 4 p q + 5 , - 1 0 p 2 q 2 , 1 5 + 9 p q + 7 p 2 q 2 i i . S u b t r a c t : 4 p q - 5 q 2 - 3 p 2 f r o m 5 p 2 + 3 q 2 - p q 2 6 . 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 7 . a . F i n d t h e v a l u e o f ( 3 0 + 2 0 ) 5 0 b . E x p r e s s i n s t a n d a r d f o r m : 5 0 0 0 0 0 0 2 8 . A c i r c l e o f r a d i u s 2 c m i s c u t f r o m a s q u a r e p i e c e o f a l u m i n i u m s h e e t o f s i d e 6 c m . W h a t i s t h e a r e a o f t h e r e m a i n i n g s h e e t ? ( u s e ) 2 9 . S t a t e t h e n u m b e r o f l i n e s o f s y m m e t r y f o r t h e f o l l o w i n g f i g u r e ( a l s o s h o w t h e l i n e s o f s y m m e t r y b y d r a w i n g o f s y m m e t r y b y d r a w i n g t h e f i g u r e s ) a . A n e q u i l a t e r a l t r i a n g l e b . A S q u a r e c . A r e g u l a r h e x a g o n d . A c i r c l e 3 0 . W h a t c r o s s - s e c t i o n d o y o u g e t w h e n y o u g i v e a h o r i z o n t a l c u t a n d v e r t i c a l c u t t o t h e f o l l o w i n g s o l i d s . a . A b r i c k b . A r o u n d a p p l e c . A d i c e d . A c i r c u l a r p i p eRead More
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FAQs on Class 7 Math: CBSE Past Year Paper - 2 - Mathematics (Maths) Class 7
| 1. What is CBSE? |  |
Ans. CBSE stands for Central Board of Secondary Education. It is a national level board of education in India for public and private schools. CBSE conducts examinations for Class 10 and Class 12, and provides a standardized curriculum to affiliated schools.
| 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 sources. You can visit the official CBSE website, where they provide previous year question papers for free download. Alternatively, you can also find these papers on educational websites or purchase them from bookstores.
| 3. Are CBSE past year papers helpful for Class 7 Math exam preparation? | |
Ans. Yes, CBSE past year papers are extremely helpful for Class 7 Math exam preparation. These papers give students an understanding of the exam pattern, types of questions asked, and the marking scheme. By practicing these papers, students can assess their strengths and weaknesses, and work on improving their problem-solving skills.
| 4. What is the importance of solving CBSE past year papers for Class 7 Math? | |
Ans. Solving CBSE past year papers for Class 7 Math helps students in multiple ways. It familiarizes them with the exam format and time management skills. It also helps in identifying the important topics and areas where they need more practice. Additionally, solving these papers boosts confidence and reduces exam anxiety.
| 5. Can solving CBSE past year papers guarantee success in the Class 7 Math exam? | |
Ans. While solving CBSE past year papers is an excellent way to prepare for the Class 7 Math exam, success cannot be guaranteed solely through this practice. It is important to understand the concepts, regularly attend classes, and practice additional problems. Solving past year papers should be done in conjunction with thorough studying and revision to maximize the chances of success in the exam.
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