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G e n e r a l 	 I n s t r u c t i o n :
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 	 5 	 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 	 4 	 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 	 7 	 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 	 4 	 q u e s t i o n s 	 o f 	 4 	 m a r k s 	 e a c h
S e c 	 E 	 O P E N 	 T E X T 	 B A S E D 	 A S S E S S M E N T 	 ( O T B A ) 	 c o n t a i n s 	 1 0 	 m a r k s .
A n 	 a d d i t i o n a l 	 1 5 	 m i n u t e s 	 t i m e 	 h a s 	 b e e n 	 a l l o t t e d 	 t o 	 r e a d 	 t h i s 	 q u e s t i o n 	 p a p e r 	 o n l y .
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 . 	 W h a t 	 i s 	 t h e 	 a r e a 	 o f 	 a 	 p a r a l l e l o g r a m ?
2 . 	 E v a l u a t e 	 3 ° 	 + 	 4 °
3 . 	 F i n d 	 t h e 	 p r o d u c t 	 o f 	 7 	 p q 	 a n d 	 - 6 p
4 . 	 W h a t 	 i s 	 t h e 	 v o l u m e 	 o f 	 a 	 c u b e 	 o f 	 s i d e 	 1 	 c m ?
5 . 	 F i n d 	 t h e 	 e r r o r 	 i n 	 2 ( x - 2 ) 	 = 	 2 x 	 – 	 2
6 . 	 F a c t o r i z e : 	 2 x 	 + 4
S E C T I O N 	 – 	 B
7 . 	 F i n d 	 t h e 	 p r o d u c t : 	
8 . 	 F i n d 	 t h e 	 v a l u e 	 o f 	 3
1 0
	 ÷ 	 3
7
9 . 	 A 	 m i x t u r e 	 o f 	 p a i n t 	 i s 	 p r e p a r e d 	 b y 	 m i x i n g 	 1 	 p a r t 	 o f 	 r e d 	 p i g m e n t s 	 w i t h 	 8 	 p a r t s 	 o f 	 t h e 	 b a s e .
Page 2


G e n e r a l 	 I n s t r u c t i o n :
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 	 5 	 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 	 4 	 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 	 7 	 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 	 4 	 q u e s t i o n s 	 o f 	 4 	 m a r k s 	 e a c h
S e c 	 E 	 O P E N 	 T E X T 	 B A S E D 	 A S S E S S M E N T 	 ( O T B A ) 	 c o n t a i n s 	 1 0 	 m a r k s .
A n 	 a d d i t i o n a l 	 1 5 	 m i n u t e s 	 t i m e 	 h a s 	 b e e n 	 a l l o t t e d 	 t o 	 r e a d 	 t h i s 	 q u e s t i o n 	 p a p e r 	 o n l y .
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 . 	 W h a t 	 i s 	 t h e 	 a r e a 	 o f 	 a 	 p a r a l l e l o g r a m ?
2 . 	 E v a l u a t e 	 3 ° 	 + 	 4 °
3 . 	 F i n d 	 t h e 	 p r o d u c t 	 o f 	 7 	 p q 	 a n d 	 - 6 p
4 . 	 W h a t 	 i s 	 t h e 	 v o l u m e 	 o f 	 a 	 c u b e 	 o f 	 s i d e 	 1 	 c m ?
5 . 	 F i n d 	 t h e 	 e r r o r 	 i n 	 2 ( x - 2 ) 	 = 	 2 x 	 – 	 2
6 . 	 F a c t o r i z e : 	 2 x 	 + 4
S E C T I O N 	 – 	 B
7 . 	 F i n d 	 t h e 	 p r o d u c t : 	
8 . 	 F i n d 	 t h e 	 v a l u e 	 o f 	 3
1 0
	 ÷ 	 3
7
9 . 	 A 	 m i x t u r e 	 o f 	 p a i n t 	 i s 	 p r e p a r e d 	 b y 	 m i x i n g 	 1 	 p a r t 	 o f 	 r e d 	 p i g m e n t s 	 w i t h 	 8 	 p a r t s 	 o f 	 t h e 	 b a s e .
N o w 	 i n 	 t h e 	 f o l l o w i n g 	 t a b l e . 	 F i l l 	 i n 	 t h e 	 b l a n k s
P a r t 	 o f 	 r e d 	 p i g m e n t s P a r t 	 o f 	 b a s e
1 8
4 … … …
1 2 … … …
1 0 . 	 F a c t o r i z e : 	 x
2
	 + 	 x y 	 + 	 8 x 	 + 	 8 y .
1 1 . 	 E x p r e s s 	 0 . 0 0 0 0 3 5 	 i n 	 s t a n d a r d 	 f o r m .
S E C T I O N 	 – C
1 2 . 	 C h e c k 	 t h e 	 d i v i s i b i l i t y 	 o f 	 1 5 2 8 7 5 	 b y 	 9
1 3 . 	 P l o t 	 t h e 	 f o l l o w i n g 	 p o i n t s 	 o n 	 t h e 	 g r a p h 	 s h e e t . 	 V e r i f y 	 i f 	 t h e y 	 l i e 	 o n 	 a 	 l i n e . 	 A ( 4 , 0 ) , 	 B ( 4 , 2 ) , 	 C
( 4 , 6 ) , 	 D 	 ( 4 , 2 , 5 )
1 4 . 	 S i m p l i f y : 	 ( x
2
	 – 	 5 ) 	 ( x 	 + 	 5 ) 	 + 	 2 5
1 5 . 	 D r a w 	 t h e 	 f r o n t 	 v i e w , 	 s i d e 	 v i e w , 	 a n d 	 t o p 	 v i e w 	 o f 	 a 	 m i l i t a r y 	 t e n t .
1 6 . 	 A 	 t r a i n 	 i s 	 m o v i n g 	 a t 	 a 	 u n i f o r m 	 s p e e d 	 o f 	 7 5 k m / h r . 	 H o w 	 f a r 	 w i l l 	 i t 	 t r a v e l 	 i n 	 2 0 	 m i n ?
1 7 . 	 F a c t o r i z e : - 	 a
4
	 – 	 b
4
S E C T I O N 	 – 	 D
1 8 . 	 T h e r e 	 a r e 	 1 0 0 	 s t u d e n t s 	 i n 	 a 	 h o s t e l . 	 F o o d 	 p r o v i s i o n 	 f o r 	 t h e m 	 i s 	 f o r 	 2 0 	 d a y s . 	 H o w 	 l o n g 	 w i l l
t h e s e 	 p r o v i s i o n s 	 l a s t , 	 i f 	 2 5 	 m o r e 	 s t u d e n t s 	 j o i n 	 t h e 	 g r o u p ?
1 9 . 	 D r a w 	 t h e 	 g r a p h 	 f o r 	 t h e 	 f o l l o w i n g 	 t a b l e 	 o f 	 v a l u e s , 	 w i t h 	 s u i t a b l e 	 s c a l e s 	 o n 	 t h e 	 a x e s .
T i m e 	 ( i n 	 h r s ) D i s t a n c e 	 ( i n 	 k m )
6 	 a m 4 0
Page 3


G e n e r a l 	 I n s t r u c t i o n :
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 	 5 	 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 	 4 	 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 	 7 	 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 	 4 	 q u e s t i o n s 	 o f 	 4 	 m a r k s 	 e a c h
S e c 	 E 	 O P E N 	 T E X T 	 B A S E D 	 A S S E S S M E N T 	 ( O T B A ) 	 c o n t a i n s 	 1 0 	 m a r k s .
A n 	 a d d i t i o n a l 	 1 5 	 m i n u t e s 	 t i m e 	 h a s 	 b e e n 	 a l l o t t e d 	 t o 	 r e a d 	 t h i s 	 q u e s t i o n 	 p a p e r 	 o n l y .
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 . 	 W h a t 	 i s 	 t h e 	 a r e a 	 o f 	 a 	 p a r a l l e l o g r a m ?
2 . 	 E v a l u a t e 	 3 ° 	 + 	 4 °
3 . 	 F i n d 	 t h e 	 p r o d u c t 	 o f 	 7 	 p q 	 a n d 	 - 6 p
4 . 	 W h a t 	 i s 	 t h e 	 v o l u m e 	 o f 	 a 	 c u b e 	 o f 	 s i d e 	 1 	 c m ?
5 . 	 F i n d 	 t h e 	 e r r o r 	 i n 	 2 ( x - 2 ) 	 = 	 2 x 	 – 	 2
6 . 	 F a c t o r i z e : 	 2 x 	 + 4
S E C T I O N 	 – 	 B
7 . 	 F i n d 	 t h e 	 p r o d u c t : 	
8 . 	 F i n d 	 t h e 	 v a l u e 	 o f 	 3
1 0
	 ÷ 	 3
7
9 . 	 A 	 m i x t u r e 	 o f 	 p a i n t 	 i s 	 p r e p a r e d 	 b y 	 m i x i n g 	 1 	 p a r t 	 o f 	 r e d 	 p i g m e n t s 	 w i t h 	 8 	 p a r t s 	 o f 	 t h e 	 b a s e .
N o w 	 i n 	 t h e 	 f o l l o w i n g 	 t a b l e . 	 F i l l 	 i n 	 t h e 	 b l a n k s
P a r t 	 o f 	 r e d 	 p i g m e n t s P a r t 	 o f 	 b a s e
1 8
4 … … …
1 2 … … …
1 0 . 	 F a c t o r i z e : 	 x
2
	 + 	 x y 	 + 	 8 x 	 + 	 8 y .
1 1 . 	 E x p r e s s 	 0 . 0 0 0 0 3 5 	 i n 	 s t a n d a r d 	 f o r m .
S E C T I O N 	 – C
1 2 . 	 C h e c k 	 t h e 	 d i v i s i b i l i t y 	 o f 	 1 5 2 8 7 5 	 b y 	 9
1 3 . 	 P l o t 	 t h e 	 f o l l o w i n g 	 p o i n t s 	 o n 	 t h e 	 g r a p h 	 s h e e t . 	 V e r i f y 	 i f 	 t h e y 	 l i e 	 o n 	 a 	 l i n e . 	 A ( 4 , 0 ) , 	 B ( 4 , 2 ) , 	 C
( 4 , 6 ) , 	 D 	 ( 4 , 2 , 5 )
1 4 . 	 S i m p l i f y : 	 ( x
2
	 – 	 5 ) 	 ( x 	 + 	 5 ) 	 + 	 2 5
1 5 . 	 D r a w 	 t h e 	 f r o n t 	 v i e w , 	 s i d e 	 v i e w , 	 a n d 	 t o p 	 v i e w 	 o f 	 a 	 m i l i t a r y 	 t e n t .
1 6 . 	 A 	 t r a i n 	 i s 	 m o v i n g 	 a t 	 a 	 u n i f o r m 	 s p e e d 	 o f 	 7 5 k m / h r . 	 H o w 	 f a r 	 w i l l 	 i t 	 t r a v e l 	 i n 	 2 0 	 m i n ?
1 7 . 	 F a c t o r i z e : - 	 a
4
	 – 	 b
4
S E C T I O N 	 – 	 D
1 8 . 	 T h e r e 	 a r e 	 1 0 0 	 s t u d e n t s 	 i n 	 a 	 h o s t e l . 	 F o o d 	 p r o v i s i o n 	 f o r 	 t h e m 	 i s 	 f o r 	 2 0 	 d a y s . 	 H o w 	 l o n g 	 w i l l
t h e s e 	 p r o v i s i o n s 	 l a s t , 	 i f 	 2 5 	 m o r e 	 s t u d e n t s 	 j o i n 	 t h e 	 g r o u p ?
1 9 . 	 D r a w 	 t h e 	 g r a p h 	 f o r 	 t h e 	 f o l l o w i n g 	 t a b l e 	 o f 	 v a l u e s , 	 w i t h 	 s u i t a b l e 	 s c a l e s 	 o n 	 t h e 	 a x e s .
T i m e 	 ( i n 	 h r s ) D i s t a n c e 	 ( i n 	 k m )
6 	 a m 4 0
7 	 a m 8 0
8 	 a m 1 2 0
9 	 a m 1 6 0
2 0 . 	 I f 	 2 1 	 Y 	 5 	 i s 	 a 	 m u l t i p l e 	 o f 	 9 	 w h e r e 	 Y 	 i s 	 a 	 d i g i t , 	 w h a t 	 i s 	 t h e 	 v a l u e 	 o f 	 Y ?
2 1 . 	 D r a w 	 a 	 m a p 	 o f 	 y o u r 	 c l a s s r o o m 	 u s i n g 	 p r o p e r 	 s c a l e 	 a n d 	 s y m b o l s 	 f o r 	 d i f f e r e n t 	 o b j e c t s .
S E C T I O N 	 E
O P E N 	 T E X T 	 B A S E D 	 A S S E S S M E N T 	 ( O T B A )
T h e m e 	 1 : 	 C h i l d 	 L a b o u r
1 . 	 W h a t 	 i s 	 t h e 	 p r o m i n e n t 	 c a u s e 	 f o r 	 c h i l d 	 l a b o u r ?
2 . 	 W h a t 	 i s 	 t h e 	 p e r c e n t a g e 	 o f 	 c h i l d 	 l a b o u r 	 i n 	 d o m e s t i c 	 w o r k e r s ?
3 . 	 P r e p a r e 	 a 	 B a r 	 G r a p h 	 b y 	 t a k i n g 	 s t a t e s 	 o n 	 x - a x i s 	 a n d 	 % 	 o f 	 c h i l d r e n 	 o n 	 y - a x i s 	 ( t a b l e 	 1 ) 	 3
T h e m e 	 2 : 	 C h i l d r e n ’ s 	 D a y 	 5 	 M a r k s
1 . 	 a ) 	 A t 	 w h a t 	 t i m e 	 N e h a 	 g o t 	 u p 	 i n 	 t h e 	 m o r n i n g ?
b ) 	 H o w 	 f a r 	 i s 	 N e h a ’ s 	 S c h o o l ?
2 . 	 a ) 	 A t 	 w h a t 	 t i m e 	 N e h a ’ s 	 s c h o o l 	 v a n 	 c a m e 	 t o d a y ?
b ) 	 R e h a n a 	 c h o o s e 	 t o 	 t a k e 	 w h i c h 	 d r i n k ?
c ) 	 W h o 	 w o n 	 t h e 	 c r i c k e t 	 m a t c h
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FAQs on Class 8 Math: CBSE Past Year Paper - 8 - Mathematics (Maths) Class 8

1. What is the format of the CBSE Class 8 Math exam?
Ans. The CBSE Class 8 Math exam is conducted in a written format. Students are required to solve multiple-choice questions, short answer questions, and long answer questions.
2. How can I prepare effectively for the CBSE Class 8 Math exam?
Ans. To prepare effectively for the CBSE Class 8 Math exam, it is important to understand the concepts thoroughly. Regular practice of numerical problems and solving previous year question papers can help in gaining confidence and improving performance.
3. Are there any specific topics that I should focus on for the CBSE Class 8 Math exam?
Ans. Yes, some important topics in CBSE Class 8 Math include Rational Numbers, Linear Equations, Exponents and Powers, Quadrilaterals, and Visualizing Solid Shapes. It is advisable to focus on these topics and practice related problems.
4. Is it necessary to memorize formulas for the CBSE Class 8 Math exam?
Ans. While it is important to understand and remember the formulas in CBSE Class 8 Math, the emphasis is more on conceptual understanding and problem-solving skills. It is recommended to practice applying the formulas in different scenarios to strengthen understanding.
5. How can I manage my time effectively during the CBSE Class 8 Math exam?
Ans. Time management is crucial during the CBSE Class 8 Math exam. Allocate specific time for each section of the paper and ensure that you attempt all questions within the given time frame. Practice solving sample papers and mock tests to improve speed and accuracy.
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