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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 : i . 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 . 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 4 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 m p r i s e s o f 6 q u e s t i o n s o f 1 m a r k e a c h . S e c t i o n - B c o m p r i s e s o f 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 c o m p r i s e s o f 1 0 q u e s t i o n s o f 3 m a r k s e a c h a n d S e c t i o n - D c o m p r i s e s o f 8 q u e s t i o n s 4 m a r k s e a c h . i v . 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 c u b e o f 2 . 3 1 z 5 i s a m u l t i p l e o f 9 w h e r e z i s a d i g i t , w h a t i s t h e v a l u e o f z . 3 . E x p r e s s 1 1 2 a s t h e s u m o f t w o c o n s e c u t i v e i n t e g e r s . 4 . F a c t o r i s e : 2 7 a 3 b 3 - 1 8 a 2 b 3 + 7 5 a 3 b 2 5 . F i n d t h e s u m o f i n t e r i o r a n g l e s o f a 1 2 s i d e d p o l y g o n . 6 . W h a t p e r c e n t i s 3 0 0 g o f 2 k g . S E C T I O N B 7 . W h a t m u s t b e a d d e d t o 5 x 2 - 3 x + 1 t o g e t 3 x 3 + 7 x 2 + 8 8 . F i n d t h e d i g i t s A a n d B i n t h e m u l t i p l i c a t i o n : 9 . F i n d t h e c u b e r o o t o f 1 2 1 6 7 b y e s t i m a t i o n m e t h o d . 1 0 . R e e n a b o u g h t a f a n a t 1 0 8 0 i n c l u d i n g 8 % V A T . F i n d t h e p r i c e o f f a n b e f o r e V A T w a s 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 : i . 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 . 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 4 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 m p r i s e s o f 6 q u e s t i o n s o f 1 m a r k e a c h . S e c t i o n - B c o m p r i s e s o f 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 c o m p r i s e s o f 1 0 q u e s t i o n s o f 3 m a r k s e a c h a n d S e c t i o n - D c o m p r i s e s o f 8 q u e s t i o n s 4 m a r k s e a c h . i v . 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 c u b e o f 2 . 3 1 z 5 i s a m u l t i p l e o f 9 w h e r e z i s a d i g i t , w h a t i s t h e v a l u e o f z . 3 . E x p r e s s 1 1 2 a s t h e s u m o f t w o c o n s e c u t i v e i n t e g e r s . 4 . F a c t o r i s e : 2 7 a 3 b 3 - 1 8 a 2 b 3 + 7 5 a 3 b 2 5 . F i n d t h e s u m o f i n t e r i o r a n g l e s o f a 1 2 s i d e d p o l y g o n . 6 . W h a t p e r c e n t i s 3 0 0 g o f 2 k g . S E C T I O N B 7 . W h a t m u s t b e a d d e d t o 5 x 2 - 3 x + 1 t o g e t 3 x 3 + 7 x 2 + 8 8 . F i n d t h e d i g i t s A a n d B i n t h e m u l t i p l i c a t i o n : 9 . F i n d t h e c u b e r o o t o f 1 2 1 6 7 b y e s t i m a t i o n m e t h o d . 1 0 . R e e n a b o u g h t a f a n a t 1 0 8 0 i n c l u d i n g 8 % V A T . F i n d t h e p r i c e o f f a n b e f o r e V A T w a s a d d e d . 1 1 . P l o t t h e f o l l o w i n g p o i n t s a n d v e r i f y i f t h e y l i e o n t h e l i n e . ( 2 , 6 ) ( 3 , 5 ) ( 5 , 3 ) ( 6 , 2 ) . 1 2 . U s i n g E u l e r ' s f o r m u l a , f i n d t h e n u m b e r o f e d g e s i f a p o l y h e d r o n h a s 8 f a c e s a n d 8 v e r t i c e s . S E C T I O N C 1 3 . S u p p o s e 2 k g o f s u g a r c o n t a i n s 9 1 0 6 c r y s t a l s . H o w m a n y s u g a r c r y s t a l s a r e t h e r e i n 5 k g o f s u g a r . 1 4 . F a c t o r i s e : m 2 - 2 3 m + 4 2 1 5 . O n s e l l i n g a b a g f o r 7 0 4 , a s h o p k e e p e r s u f f e r s a l o s s 1 2 % . A t w h a t p r i c e h e s e l l i t t o g a i n 7 . 5 % . 1 6 . S h o w t h a t : ( 4 x + 7 y ) 2 - ( 4 x - 7 y ) 2 = 1 1 2 x y 1 7 . F i n d t h e s m a l l e s t n u m b e r b y w h i c h 3 0 7 2 m u s t b e m u l t i p l i e d t o o b t a i n p e r f e c t c u b e . 1 8 . T h e p e r i m e t e r o f a p a r a l l e l o g r a m i s 1 5 0 c m . O n e o f i t s s i d e s i s g r e a t e r t h a n t h e o t h e r b y 2 5 c m . F i n d t h e l e n g t h o f t h e s i d e s o f t h e p a r a l l e l o g r a m . 1 9 . F i n d t h e s q u a r e r o o t o f 2 8 8 3 6 9 b y l o n g d i v i s i o n m e t h o d . 2 0 . I f r a t i o b e t w e e n a n e x t e r i o r a n d i n t e r i o r a n g l e o f a r e g u l a r p o l y g o n i s 1 : 5 t h e n f i n d t h e n u m b e r o f s i d e s o f r e g u l a r p o l y g o n . 2 1 . C o n s t r u c t a r e c t a n g l e s u c h t h a t o n e s i d e i s 5 c m a n d o n e d i a g o n a l i s 6 . 8 c m . 2 2 . T h e a r e a o f t r a p e z i u m i s 5 4 0 c m 2 , i f t h e r a t i o o f i t s p a r a l l e l s i d e s i s 7 : 5 a n d t h e d i s t a n c e b e t w e e n t h e m i s 1 8 c m . F i n d t h e l e n g t h o f p a r a l l e l s i d e s . S E C T I O N D 2 3 . F i n d t h e l e a s t n u m b e r t h a t m u s t b e s u b t r a c t e d f r o m 1 9 8 9 t o g e t a p e r f e c t s q u a r e . A l s o , f i n d t h e s q u a r e r o o t o f p e r f e c t s q u a r e . 2 4 . I b o r r o w e d R s . 1 2 0 0 0 f r o m J a m s h e d a t 6 % p e r a n n u m S i m p l e I n t e r e s t f o r 2 y e a r s . H a d I b o r r o w e d t h i s s u m a t 6 % p e r a n n u m C o m p o u n d i n t e r e s t . W h a t e x t r a a m o u n t w o u l d I h a v e t o p a y . 2 5 . G i v e n f i g u r e H O P E i s a p a r a l l e l o g r a m , f i n d t h e m e a s u r e s o f a n g l e s x , y , z . 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 : i . 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 . 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 4 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 m p r i s e s o f 6 q u e s t i o n s o f 1 m a r k e a c h . S e c t i o n - B c o m p r i s e s o f 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 c o m p r i s e s o f 1 0 q u e s t i o n s o f 3 m a r k s e a c h a n d S e c t i o n - D c o m p r i s e s o f 8 q u e s t i o n s 4 m a r k s e a c h . i v . 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 c u b e o f 2 . 3 1 z 5 i s a m u l t i p l e o f 9 w h e r e z i s a d i g i t , w h a t i s t h e v a l u e o f z . 3 . E x p r e s s 1 1 2 a s t h e s u m o f t w o c o n s e c u t i v e i n t e g e r s . 4 . F a c t o r i s e : 2 7 a 3 b 3 - 1 8 a 2 b 3 + 7 5 a 3 b 2 5 . F i n d t h e s u m o f i n t e r i o r a n g l e s o f a 1 2 s i d e d p o l y g o n . 6 . W h a t p e r c e n t i s 3 0 0 g o f 2 k g . S E C T I O N B 7 . W h a t m u s t b e a d d e d t o 5 x 2 - 3 x + 1 t o g e t 3 x 3 + 7 x 2 + 8 8 . F i n d t h e d i g i t s A a n d B i n t h e m u l t i p l i c a t i o n : 9 . F i n d t h e c u b e r o o t o f 1 2 1 6 7 b y e s t i m a t i o n m e t h o d . 1 0 . R e e n a b o u g h t a f a n a t 1 0 8 0 i n c l u d i n g 8 % V A T . F i n d t h e p r i c e o f f a n b e f o r e V A T w a s a d d e d . 1 1 . P l o t t h e f o l l o w i n g p o i n t s a n d v e r i f y i f t h e y l i e o n t h e l i n e . ( 2 , 6 ) ( 3 , 5 ) ( 5 , 3 ) ( 6 , 2 ) . 1 2 . U s i n g E u l e r ' s f o r m u l a , f i n d t h e n u m b e r o f e d g e s i f a p o l y h e d r o n h a s 8 f a c e s a n d 8 v e r t i c e s . S E C T I O N C 1 3 . S u p p o s e 2 k g o f s u g a r c o n t a i n s 9 1 0 6 c r y s t a l s . H o w m a n y s u g a r c r y s t a l s a r e t h e r e i n 5 k g o f s u g a r . 1 4 . F a c t o r i s e : m 2 - 2 3 m + 4 2 1 5 . O n s e l l i n g a b a g f o r 7 0 4 , a s h o p k e e p e r s u f f e r s a l o s s 1 2 % . A t w h a t p r i c e h e s e l l i t t o g a i n 7 . 5 % . 1 6 . S h o w t h a t : ( 4 x + 7 y ) 2 - ( 4 x - 7 y ) 2 = 1 1 2 x y 1 7 . F i n d t h e s m a l l e s t n u m b e r b y w h i c h 3 0 7 2 m u s t b e m u l t i p l i e d t o o b t a i n p e r f e c t c u b e . 1 8 . T h e p e r i m e t e r o f a p a r a l l e l o g r a m i s 1 5 0 c m . O n e o f i t s s i d e s i s g r e a t e r t h a n t h e o t h e r b y 2 5 c m . F i n d t h e l e n g t h o f t h e s i d e s o f t h e p a r a l l e l o g r a m . 1 9 . F i n d t h e s q u a r e r o o t o f 2 8 8 3 6 9 b y l o n g d i v i s i o n m e t h o d . 2 0 . I f r a t i o b e t w e e n a n e x t e r i o r a n d i n t e r i o r a n g l e o f a r e g u l a r p o l y g o n i s 1 : 5 t h e n f i n d t h e n u m b e r o f s i d e s o f r e g u l a r p o l y g o n . 2 1 . C o n s t r u c t a r e c t a n g l e s u c h t h a t o n e s i d e i s 5 c m a n d o n e d i a g o n a l i s 6 . 8 c m . 2 2 . T h e a r e a o f t r a p e z i u m i s 5 4 0 c m 2 , i f t h e r a t i o o f i t s p a r a l l e l s i d e s i s 7 : 5 a n d t h e d i s t a n c e b e t w e e n t h e m i s 1 8 c m . F i n d t h e l e n g t h o f p a r a l l e l s i d e s . S E C T I O N D 2 3 . F i n d t h e l e a s t n u m b e r t h a t m u s t b e s u b t r a c t e d f r o m 1 9 8 9 t o g e t a p e r f e c t s q u a r e . A l s o , f i n d t h e s q u a r e r o o t o f p e r f e c t s q u a r e . 2 4 . I b o r r o w e d R s . 1 2 0 0 0 f r o m J a m s h e d a t 6 % p e r a n n u m S i m p l e I n t e r e s t f o r 2 y e a r s . H a d I b o r r o w e d t h i s s u m a t 6 % p e r a n n u m C o m p o u n d i n t e r e s t . W h a t e x t r a a m o u n t w o u l d I h a v e t o p a y . 2 5 . G i v e n f i g u r e H O P E i s a p a r a l l e l o g r a m , f i n d t h e m e a s u r e s o f a n g l e s x , y , z . 2 6 . C o n s t r u c t a q u a d r i l a t e r a l A B C D g i v e n t h a t B C = 5 c m , C D = 3 . 5 c m , , a n d . 2 7 . I n a b u i l d i n g t h e r e a r e 2 4 c y l i n d r i c a l p i l l a r s . T h e r a d i u s o f e a c h p i l l a r i s 2 8 c m a n d h e i g h t i s 4 m . F i n d t h e t o t a l c o s t o f p a i n t i n g t h e c u r v e d s u r f a c e a r e a o f a l l t h e p i l l a r s a t t h e r a t e o f R s . 8 p e r m 2 . 2 8 . U s i n g s u i t a b l e i d e n t i t i e s , f i n d t h e p r o d u c t s o f t h e f o l l o w i n g : a . 9 . 8 2 b . 9 5 1 0 3 2 9 . T h e f o l l o w i n g t a b l e s h o w s t h e i n t e r e s t o n d e p o s i t s f o r a y e a r . P l o t a g r a p h t o s h o w t h e d a t e D e p o s i t s i n ( R s . ) 1 0 0 0 2 0 0 0 3 0 0 0 4 0 0 0 5 0 0 0 S i m p l e I n t e r e s t i n ( R s . ) 8 0 1 6 0 2 4 0 3 2 0 4 0 0 1 . D o e s t h e g r a p h p a s s e s t h r o u g h t h e o r i g i n . 2 . U s e t h e g r a p h t o f i n d i n t e r e s t o n R s . 2 5 0 0 f o r a y e a r 3 0 . T w o p e r s o n s c o u l d f i t n e w w i n d o w s i n a h o u s e i n 3 d a y s . a . O n e o f t h e p e r s o n s f e l l i l l b e f o r e t h e w o r k s t a r t e d . H o w l o n g w o u l d t h e j o b t a k e n o w . b . H o w m a n y p e r s o n s w o u l d b e n e e d e d t o f i t t h e w i n d o w s i n o n e d a y .Read More
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FAQs on Class 8 Math: CBSE Past Year Paper - 3 - Mathematics (Maths) Class 8
| 1. How can I access CBSE past year papers for Class 8 Math? |  |
Ans. You can access CBSE past year papers for Class 8 Math on the official website of CBSE (Central Board of Secondary Education) or on various educational platforms that provide study materials and resources for students. These past year papers are a valuable resource for exam preparation as they give you an idea about the exam pattern, types of questions asked, and the level of difficulty.
| 2. Are CBSE past year papers for Class 8 Math available in both online and offline formats? | |
Ans. Yes, CBSE past year papers for Class 8 Math are available in both online and offline formats. You can access them online through various educational websites and platforms, or you can also purchase physical copies of past year papers from bookstores or educational institutions that provide study materials.
| 3. What is the importance of solving CBSE past year papers for Class 8 Math? | |
Ans. Solving CBSE past year papers for Class 8 Math is important as it helps you understand the exam pattern, familiarize yourself with the types of questions asked, and improve your time management skills. By solving these papers, you can assess your strengths and weaknesses, identify the areas where you need more practice, and gain confidence in your preparation for the exam.
| 4. How can I effectively use CBSE past year papers for Class 8 Math in my exam preparation? | |
Ans. To effectively use CBSE past year papers for Class 8 Math in your exam preparation, start by solving one paper at a time under exam-like conditions. Set a timer and try to complete the paper within the given time limit. After solving the paper, evaluate your performance, identify the mistakes you made, and understand the concepts or topics that need further revision. Practice solving more papers to improve your speed and accuracy.
| 5. Can solving CBSE past year papers for Class 8 Math guarantee success in the exam? | |
Ans. Solving CBSE past year papers for Class 8 Math is a valuable part of your exam preparation, but it does not guarantee success. It is important to have a comprehensive understanding of the concepts, regularly practice and revise the syllabus, and seek clarification for any doubts or difficulties. Along with solving past year papers, it is advisable to refer to textbooks, study guides, and other resources to strengthen your knowledge and skills in mathematics.
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