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Page 1 T i m e : 2 : 3 0 H r s M . M . : 5 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 . P l e a s e w r i t e d o w n t h e s e r i a l n u m b e r o f t h e q u e s t i o n b e f o r e a t t e m p t i n g i t . i 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 2 2 q u e s t i o n s a n d i t i s d i v i d e d i n t o f o u r s e c t i o n A , B , C , a n d D . i v . S e c t i o n A c o m p r i s e s o f 5 q u e s t i o n s c a r r y i n g 1 m a r k e a c h . v . S e c t i o n B c o m p r i s e s o f 9 q u e s t i o n s c a r r y i n g 2 m a r k s e a c h . v i . S e c t i o n C c o m p r i s e s o f 5 q u e s t i o n s c a r r y i n g 3 m a r k s e a c h . v i i . S e c t i o n D c o m p r i s e s o f 3 q u e s t i o n s c a r r y i n g 4 m a r k s e a c h . v i i i . T h e r e i s n o o v e r a l l c h o i c e . H o w e v e r , a n 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 1 q u e s t i o n o f 3 m a r k s a n d 1 q u e s t i o n o f 4 m a r k s e a c h . Y o u h a v e t o a t t e m p t o n l y o n e o f t h e a l t e r n a t i v e s i n a l l s u c h q u e s t i o n . i x . U s e o f c a l c u l a t o r i s n o t p e r m i t t e d . ( S E C T I O N A ) 1 . F i n d t h e r a t i o o f R s . 1 7 t o 3 4 p a i s e . 2 . F i n d t h e a r e a o f t h e f i g u r e " 3 . I f x = 3 , t h e n f i n d t h e v a l u e o f 2 x - 6 . 4 . E x p r e s s 2 1 6 a s a p r o d u c t o f p o w e r o f p r i m e f a c t o r s . 5 . W h a t i s t h e t w o - t h i r d o f 4 2 ? ( S E C T I O N B ) Page 2 T i m e : 2 : 3 0 H r s M . M . : 5 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 . P l e a s e w r i t e d o w n t h e s e r i a l n u m b e r o f t h e q u e s t i o n b e f o r e a t t e m p t i n g i t . i 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 2 2 q u e s t i o n s a n d i t i s d i v i d e d i n t o f o u r s e c t i o n A , B , C , a n d D . i v . S e c t i o n A c o m p r i s e s o f 5 q u e s t i o n s c a r r y i n g 1 m a r k e a c h . v . S e c t i o n B c o m p r i s e s o f 9 q u e s t i o n s c a r r y i n g 2 m a r k s e a c h . v i . S e c t i o n C c o m p r i s e s o f 5 q u e s t i o n s c a r r y i n g 3 m a r k s e a c h . v i i . S e c t i o n D c o m p r i s e s o f 3 q u e s t i o n s c a r r y i n g 4 m a r k s e a c h . v i i i . T h e r e i s n o o v e r a l l c h o i c e . H o w e v e r , a n 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 1 q u e s t i o n o f 3 m a r k s a n d 1 q u e s t i o n o f 4 m a r k s e a c h . Y o u h a v e t o a t t e m p t o n l y o n e o f t h e a l t e r n a t i v e s i n a l l s u c h q u e s t i o n . i x . U s e o f c a l c u l a t o r i s n o t p e r m i t t e d . ( S E C T I O N A ) 1 . F i n d t h e r a t i o o f R s . 1 7 t o 3 4 p a i s e . 2 . F i n d t h e a r e a o f t h e f i g u r e " 3 . I f x = 3 , t h e n f i n d t h e v a l u e o f 2 x - 6 . 4 . E x p r e s s 2 1 6 a s a p r o d u c t o f p o w e r o f p r i m e f a c t o r s . 5 . W h a t i s t h e t w o - t h i r d o f 4 2 ? ( S E C T I O N B ) 6 . R i n k u w a s g i v e n a q u e s t i o n t o a d d a n d . H e d i d i t l i k e t h i s : D i d h e d o i t c o r r e c t l y ? I f n o t , c o r r e c t i t . 7 . F i n d t h e n u m b e r f r o m e a c h o f t h e f o l l o w i n g e x p a n d e d f o r m : i . 3 1 0 5 + 4 1 0 4 + 1 1 0 1 + 3 1 0 0 i i . 5 1 0 4 + 7 1 0 2 + 2 1 0 0 8 . S t a t e w h e t h e r a g i v e n p a i r o f t e r m s i s o f l i k e o r u n l i k e t e r m s : i . 1 7 x , - 1 2 x i i . 5 x y , - 6 y x 9 . F i n d t h e a r e a o f a s q u a r e p a r k w h o s e p e r i m e t e r i s 4 0 0 m . 1 0 . A s u r v e y o f 8 0 c h i l d r e n s h o w e d t h a t 3 0 % l i k e d p l a y i n g c r i c k e t . H o w m a n y c h i l d r e n l i k e d p l a y i n g c r i c k e t ? 1 1 . I n t h e f i g u r e , t h e m e a s u r e m e n t s o f s o m e p a r t s o f t w o t r i a n g l e a r e g i v e n . E x a m i n e w h e t h e r t h e s e t w o t r i a n g l e s a r e c o n g r u e n t o r n o t ? 1 2 . S i m p l i f y : ( 2 0 + 3 0 + 2 2 ) 0 1 3 . F i n d t h e c o s t o f p o l i s h i n g a c i r c u l a r p i e c e o f w o o d o f d i a m e t e r 1 . 4 m , i f t h e r a t e o f p o l i s h i n g i s R s . 5 0 p e r s q u a r e m e t r e . 1 4 . F i l l i n t h e b l a n k s : i . I f t w o l i n e s e g m e n t h a v e t h e s a m e ( e q u a l ) l e n g t h , t h e y a r e . . . . . . . . . . . . . . . i i . W h e n w e w r i t e , w e a c t u a l l y m e a n . . . . . . . . . . . . . . . . . . ( S E C T I O N C ) 1 5 . A B C i s a n i s o s c e l e s t r i a n g l e w i t h A B = A C a n d A D i s o n e o f i t s a t t i t u d e s . 1 . S t a t e t h e t h r e e p a i r s o f e q u a l p a r t s o f a n d 2 . I s ? W h y o r w h y n o t ? Page 3 T i m e : 2 : 3 0 H r s M . M . : 5 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 . P l e a s e w r i t e d o w n t h e s e r i a l n u m b e r o f t h e q u e s t i o n b e f o r e a t t e m p t i n g i t . i 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 2 2 q u e s t i o n s a n d i t i s d i v i d e d i n t o f o u r s e c t i o n A , B , C , a n d D . i v . S e c t i o n A c o m p r i s e s o f 5 q u e s t i o n s c a r r y i n g 1 m a r k e a c h . v . S e c t i o n B c o m p r i s e s o f 9 q u e s t i o n s c a r r y i n g 2 m a r k s e a c h . v i . S e c t i o n C c o m p r i s e s o f 5 q u e s t i o n s c a r r y i n g 3 m a r k s e a c h . v i i . S e c t i o n D c o m p r i s e s o f 3 q u e s t i o n s c a r r y i n g 4 m a r k s e a c h . v i i i . T h e r e i s n o o v e r a l l c h o i c e . H o w e v e r , a n 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 1 q u e s t i o n o f 3 m a r k s a n d 1 q u e s t i o n o f 4 m a r k s e a c h . Y o u h a v e t o a t t e m p t o n l y o n e o f t h e a l t e r n a t i v e s i n a l l s u c h q u e s t i o n . i x . U s e o f c a l c u l a t o r i s n o t p e r m i t t e d . ( S E C T I O N A ) 1 . F i n d t h e r a t i o o f R s . 1 7 t o 3 4 p a i s e . 2 . F i n d t h e a r e a o f t h e f i g u r e " 3 . I f x = 3 , t h e n f i n d t h e v a l u e o f 2 x - 6 . 4 . E x p r e s s 2 1 6 a s a p r o d u c t o f p o w e r o f p r i m e f a c t o r s . 5 . W h a t i s t h e t w o - t h i r d o f 4 2 ? ( S E C T I O N B ) 6 . R i n k u w a s g i v e n a q u e s t i o n t o a d d a n d . H e d i d i t l i k e t h i s : D i d h e d o i t c o r r e c t l y ? I f n o t , c o r r e c t i t . 7 . F i n d t h e n u m b e r f r o m e a c h o f t h e f o l l o w i n g e x p a n d e d f o r m : i . 3 1 0 5 + 4 1 0 4 + 1 1 0 1 + 3 1 0 0 i i . 5 1 0 4 + 7 1 0 2 + 2 1 0 0 8 . S t a t e w h e t h e r a g i v e n p a i r o f t e r m s i s o f l i k e o r u n l i k e t e r m s : i . 1 7 x , - 1 2 x i i . 5 x y , - 6 y x 9 . F i n d t h e a r e a o f a s q u a r e p a r k w h o s e p e r i m e t e r i s 4 0 0 m . 1 0 . A s u r v e y o f 8 0 c h i l d r e n s h o w e d t h a t 3 0 % l i k e d p l a y i n g c r i c k e t . H o w m a n y c h i l d r e n l i k e d p l a y i n g c r i c k e t ? 1 1 . I n t h e f i g u r e , t h e m e a s u r e m e n t s o f s o m e p a r t s o f t w o t r i a n g l e a r e g i v e n . E x a m i n e w h e t h e r t h e s e t w o t r i a n g l e s a r e c o n g r u e n t o r n o t ? 1 2 . S i m p l i f y : ( 2 0 + 3 0 + 2 2 ) 0 1 3 . F i n d t h e c o s t o f p o l i s h i n g a c i r c u l a r p i e c e o f w o o d o f d i a m e t e r 1 . 4 m , i f t h e r a t e o f p o l i s h i n g i s R s . 5 0 p e r s q u a r e m e t r e . 1 4 . F i l l i n t h e b l a n k s : i . I f t w o l i n e s e g m e n t h a v e t h e s a m e ( e q u a l ) l e n g t h , t h e y a r e . . . . . . . . . . . . . . . i i . W h e n w e w r i t e , w e a c t u a l l y m e a n . . . . . . . . . . . . . . . . . . ( S E C T I O N C ) 1 5 . A B C i s a n i s o s c e l e s t r i a n g l e w i t h A B = A C a n d A D i s o n e o f i t s a t t i t u d e s . 1 . S t a t e t h e t h r e e p a i r s o f e q u a l p a r t s o f a n d 2 . I s ? W h y o r w h y n o t ? 1 6 . R a n i s t u d i e s M a t h e m a t i c s f o r h o u r s d a i l y . H o w m a n y h o u r s d o e s s h e s p e n d i n a w e e k ? 1 7 . W h a t s h o u l d b e s u b t r a c t e d f r o m ( 6 a + 7 b - 1 0 ) t o g e t ( 2 a - 5 b ) ? O R S i m p l i f y : i . 1 2 m 2 - 9 m + 6 m - 8 m 2 - 9 m - 5 i i . ( 3 y 2 + 5 y - 4 ) - ( 2 y - 5 y 2 + 3 ) 1 8 . A p a t h 5 m w i d e r u n s a l o n g i n s i d e a s q u a r e p a r k o f s i d e 1 0 0 m . F i n d t h e a r e a o f t h e p a t h . 1 9 . C o n s t r u c t a t r i a n g l e P Q R , g i v e n t h a t P Q = 3 c m , Q R = 5 . 5 c m c a n m ( S E C T I O N D ) 2 0 . R a d h i k a s e l l s a w a s h i n g m a c h i n e f o r R s . 8 8 0 0 a t a l o s s o f 2 0 % . W h a t w a s t h e p r i c e a t w h i c h s h e b o u g h t i t ? O R S u n i t a t a k e s a l o a n o f R s . 7 0 0 0 a t 3 . 5 % p e r y e a r a s r a t e o f s i m p l e i n t e r e s t . F i n d t h e a m o u n t t o b e p a i d a t t h e e n d o f t h e s e c o n d y e a r . 2 1 . C o n s t r u c t , r i g h t a n g l e d a t M , g i v e n t h a t L N = 6 c m a n d M N = 4 c m . 2 2 . S i m p l i f y : 2 3 . 2 4 . 0 . 0 8 9 0 . 7 6 0 . 1 9Read More
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FAQs on Class 7 Math: CBSE Past Year Paper - 1 - Mathematics (Maths) Class 7
| 1. What is the importance of solving CBSE past year papers for Class 7 Math? |  |
Ans. Solving CBSE past year papers for Class 7 Math is important as it helps students familiarize themselves with the exam pattern, marking scheme, and types of questions asked in the actual exam. It allows students to assess their preparation level and identify their strengths and weaknesses. Additionally, it helps students understand the important topics and gain confidence in tackling the exam effectively.
| 2. How can solving CBSE past year papers help in improving math skills? | |
Ans. Solving CBSE past year papers can help in improving math skills as it provides practice in solving a wide range of math problems. It helps students understand the concepts better, enhance their problem-solving abilities, and develop critical thinking skills. By analyzing the solutions and identifying mistakes, students can learn from their errors and avoid them in future exams. Regular practice of past year papers also boosts speed and accuracy in solving math problems.
| 3. Are CBSE past year papers for Class 7 Math available online? | |
Ans. Yes, CBSE past year papers for Class 7 Math are available online. Students can access them on various educational websites, official CBSE websites, or through online learning platforms. These papers are usually available in PDF format and can be downloaded and printed for practice. Students can also find solutions or answer keys to these papers online, which can help in self-assessment and improvement.
| 4. How can I effectively use CBSE past year papers for Class 7 Math in my exam preparation? | |
Ans. To effectively use CBSE past year papers for Class 7 Math in exam preparation, start by solving one paper at a time under exam-like conditions. Set a time limit and attempt the paper without any external help. After completing the paper, evaluate your performance, identify areas where you struggled, and revise those concepts thoroughly. Analyze the solutions provided for the paper to understand the correct approach and techniques for solving different types of questions.
| 5. Can solving CBSE past year papers guarantee success in the Class 7 Math exam? | |
Ans. Solving CBSE past year papers is a valuable tool for exam preparation, but it does not guarantee success on its own. It is important to combine the practice of past year papers with a comprehensive study of the textbook, regular revision, and understanding of concepts. Additionally, practicing sample papers and mock tests can further enhance exam readiness. Consistent effort, effective time management, and a strong understanding of the subject are key factors that contribute to success in the Class 7 Math exam.
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