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G e n e r a l 	 I n s t r u c t i o n :
T h i s 	 q u e s t i o n 	 p a p e r 	 c o n t a i n s 	 8 	 q u e s t i o n s .
W r i t e 	 a n s w e r s 	 n e a t l y 	 a n d 	 l e g i b l y .
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 .
M a r k s 	 f o r 	 e a c h 	 q u e s t i o n 	 a r e 	 i n d i c a t e d 	 a g a i n s t 	 i t .
1 . 	 a . 	 I 	 t h i n k 	 o f 	 a 	 n u m b e r 	 a n d 	 s u b t r a c t 	 	 f r o m 	 i t . 	 I 	 m u l t i p l y 	 t h e 	 r e s u l t 	 b y 	 8 	 a n d 	 t h e
r e s u l t 	 I 	 f i n a l l y 	 o b t a i n 	 i s 	 3 	 t i m e s 	 t h e 	 s a m e 	 n u m b e r 	 I 	 t h o u g h t 	 o f . 	 T h e 	 n u m b e r 	 i s 	 _ _ _ _ _ _ . 	 	 	 	 	 	
( 1 )
b . 	 M u l t i p l i c a t i v e 	 i n v e r s e 	 o f 	 	 i s 	 _ _ _ _ _ _ _ _ _ _ _ _ . ( 1 )
S o l . 	 ( a ) 	 4
( b ) 	
2 . 	 a . 	 ( - 	 1 )
1 1 2
	 × 	 ( - 	 1 )
1 1 3
	 = 	 _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ . 	 	 	 	 	 ( 1 )
b . 	 U s u a l 	 f o r m 	 o f 	 1 . 2 5 	 × 	 1 0
- 6
	 i s 	 _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ . ( 1 )
S o l . 	 ( a ) 	 - 1
( b ) 	 0 . 0 0 0 0 0 1 2 5
3 . 	 P r o d u c t 	 o f 	 t w o 	 r a t i o n a l 	 n u m b e r s 	 i s 	 	 I f 	 o n e 	 o f 	 t h e m 	 i s 	 	 f i n d 	 t h e 	 o t h e r
n u m b e r . 	 ( 2 )
Page 2


G e n e r a l 	 I n s t r u c t i o n :
T h i s 	 q u e s t i o n 	 p a p e r 	 c o n t a i n s 	 8 	 q u e s t i o n s .
W r i t e 	 a n s w e r s 	 n e a t l y 	 a n d 	 l e g i b l y .
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 .
M a r k s 	 f o r 	 e a c h 	 q u e s t i o n 	 a r e 	 i n d i c a t e d 	 a g a i n s t 	 i t .
1 . 	 a . 	 I 	 t h i n k 	 o f 	 a 	 n u m b e r 	 a n d 	 s u b t r a c t 	 	 f r o m 	 i t . 	 I 	 m u l t i p l y 	 t h e 	 r e s u l t 	 b y 	 8 	 a n d 	 t h e
r e s u l t 	 I 	 f i n a l l y 	 o b t a i n 	 i s 	 3 	 t i m e s 	 t h e 	 s a m e 	 n u m b e r 	 I 	 t h o u g h t 	 o f . 	 T h e 	 n u m b e r 	 i s 	 _ _ _ _ _ _ . 	 	 	 	 	 	
( 1 )
b . 	 M u l t i p l i c a t i v e 	 i n v e r s e 	 o f 	 	 i s 	 _ _ _ _ _ _ _ _ _ _ _ _ . ( 1 )
S o l . 	 ( a ) 	 4
( b ) 	
2 . 	 a . 	 ( - 	 1 )
1 1 2
	 × 	 ( - 	 1 )
1 1 3
	 = 	 _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ . 	 	 	 	 	 ( 1 )
b . 	 U s u a l 	 f o r m 	 o f 	 1 . 2 5 	 × 	 1 0
- 6
	 i s 	 _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ . ( 1 )
S o l . 	 ( a ) 	 - 1
( b ) 	 0 . 0 0 0 0 0 1 2 5
3 . 	 P r o d u c t 	 o f 	 t w o 	 r a t i o n a l 	 n u m b e r s 	 i s 	 	 I f 	 o n e 	 o f 	 t h e m 	 i s 	 	 f i n d 	 t h e 	 o t h e r
n u m b e r . 	 ( 2 )
S o l . 	 p r o d u c t 	 o f 	 t w o 	 r a t i o n a l 	 n u m b e r s 	
O n e 	 n u m b e r 	
S e c o n d 	 n u m b e r 	 = 	 P r o d u c t 	 ÷ 	 O n e 	 n u m b e r
? 	 S e c o n d 	 r a t i o n a l 	 n u m b e r 	
4 . 	 B y 	 w h a t 	 n u m b e r 	 s h o u l d 	 	 b e 	 d i v i d e d 	 s o 	 t h a t 	 t h e 	 q u o t i e n t 	 b e c o m e s 	 1 2 5 ? 	 ( 2 )
S o l . 	 L e t 	 	 b e 	 d i v i d e 	 b y 	 x
	 	 	 	 	 	 	 	 	 	 	 	 	 	
	 o r 	
Page 3


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


G e n e r a l 	 I n s t r u c t i o n :
T h i s 	 q u e s t i o n 	 p a p e r 	 c o n t a i n s 	 8 	 q u e s t i o n s .
W r i t e 	 a n s w e r s 	 n e a t l y 	 a n d 	 l e g i b l y .
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 .
M a r k s 	 f o r 	 e a c h 	 q u e s t i o n 	 a r e 	 i n d i c a t e d 	 a g a i n s t 	 i t .
1 . 	 a . 	 I 	 t h i n k 	 o f 	 a 	 n u m b e r 	 a n d 	 s u b t r a c t 	 	 f r o m 	 i t . 	 I 	 m u l t i p l y 	 t h e 	 r e s u l t 	 b y 	 8 	 a n d 	 t h e
r e s u l t 	 I 	 f i n a l l y 	 o b t a i n 	 i s 	 3 	 t i m e s 	 t h e 	 s a m e 	 n u m b e r 	 I 	 t h o u g h t 	 o f . 	 T h e 	 n u m b e r 	 i s 	 _ _ _ _ _ _ . 	 	 	 	 	 	
( 1 )
b . 	 M u l t i p l i c a t i v e 	 i n v e r s e 	 o f 	 	 i s 	 _ _ _ _ _ _ _ _ _ _ _ _ . ( 1 )
S o l . 	 ( a ) 	 4
( b ) 	
2 . 	 a . 	 ( - 	 1 )
1 1 2
	 × 	 ( - 	 1 )
1 1 3
	 = 	 _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ . 	 	 	 	 	 ( 1 )
b . 	 U s u a l 	 f o r m 	 o f 	 1 . 2 5 	 × 	 1 0
- 6
	 i s 	 _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ . ( 1 )
S o l . 	 ( a ) 	 - 1
( b ) 	 0 . 0 0 0 0 0 1 2 5
3 . 	 P r o d u c t 	 o f 	 t w o 	 r a t i o n a l 	 n u m b e r s 	 i s 	 	 I f 	 o n e 	 o f 	 t h e m 	 i s 	 	 f i n d 	 t h e 	 o t h e r
n u m b e r . 	 ( 2 )
S o l . 	 p r o d u c t 	 o f 	 t w o 	 r a t i o n a l 	 n u m b e r s 	
O n e 	 n u m b e r 	
S e c o n d 	 n u m b e r 	 = 	 P r o d u c t 	 ÷ 	 O n e 	 n u m b e r
? 	 S e c o n d 	 r a t i o n a l 	 n u m b e r 	
4 . 	 B y 	 w h a t 	 n u m b e r 	 s h o u l d 	 	 b e 	 d i v i d e d 	 s o 	 t h a t 	 t h e 	 q u o t i e n t 	 b e c o m e s 	 1 2 5 ? 	 ( 2 )
S o l . 	 L e t 	 	 b e 	 d i v i d e 	 b y 	 x
	 	 	 	 	 	 	 	 	 	 	 	 	 	
	 o r 	
	 s h o u l d 	 b e 	 d i v i d e d 	 b y 	
5 . 	 F i n d 	 s i x 	 r a t i o n a l 	 n u m b e r s 	 b e t w e e n 	 	 a n d 	 . 	 ( 3 )
S o l . 	 	
S i x 	 r a t i o n a l 	 n u m b e r 	 b e t w e e n 	 	 a n d 	 	 a r e : 	 	 ( a n y 	 s i x )
6 . 	 I f 	 f i n d 	 x
3
. 	 ( 3 )
S o l . 	
	 	 	 	 	 	 	 	
	 7 . 	 A 	 g i r l 	 i n s t e a d 	 o f 	 d i s t r i b u t i n g 	 s w e e t s 	 o n 	 h e r 	 b i r t h d a y 	 d e c i d e s 	 t o 	 d i s t r i b u t e 	 3 2 0 	 a p p l e s
i n 	 v a r i o u s 	 o r g a n i z a t i o n s . 	 H a l f 	 t h e 	 a p p l e s 	 s h e 	 d i s t r i b u t e d 	 i n 	 a n 	 o r p h a n a g e , 	 t h r e e 	 f o u r t h s
o f 	 t h e 	 r e m a i n i n g 	 w e r e 	 d i s t r i b u t e d 	 i n 	 a 	 s c h o o l 	 f o r 	 d i f f e r e n t l y - a b l e d 	 a n d 	 r e m a i n i n g
a p p l e s 	 w e r e 	 d i s t r i b u t e d 	 t o 	 t h e 	 p o o r 	 c h i l d r e n . 	 F i n d 	 t h e 	 n u m b e r 	 o f 	 a p p l e s 	 s h e 	 d i s t r i b u t e d
t o 	 t h e 	 p o o r 	 c h i l d r e n . 	 E x p l a i n 	 a n y 	 t w o 	 v a l u e s 	 s h o w n 	 b y 	 h e r . 	 ( 3 	 + 	 1 )
S o l . 	 T o t a l 	 a p p l e s 	 = 	 3 2 0
G i v e n 	 t o 	 o r p h a n a g e 	
G i v e n 	 t o 	 s c h o o l 	 	
3 2 0 	 = 	 1 6 0 	 + 	 1 2 0 	 + 	 x
x 	 = 	 4 0
S h e 	 d i s t r i b u t e d 	 4 0 	 a p p l e s 	 t o 	 t h e 	 p o o r .
V a l u e : 	 A n y 	 t w o
8 . 	 a . 	 F i n d 	 t h e 	 v a l u e 	 o f 	 t h e 	 v a r i a b l e : 	 	 	 ( 3 	 + 	 1 )
b . 	 T h e 	 s i z e 	 o f 	 a 	 p l a n t 	 c e l l 	 i s 	 a p p r o x i m a t e l y 	 0 . 0 0 0 0 1 3 m . 	 C o n v e r t 	 t h e 	 s i z e 	 i n 	 s t a n d a r d
f o r m .
S o l . 	 ( a ) 	
	 	
( b ) 	 S i z e 	 o f 	 c e l l 	 = 	 1 . 3 	 × 	 1 0
- 5
	 m .
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FAQs on Class 8 Math: CBSE Past Year Paper - 7 - Mathematics (Maths) Class 8

1. What is the CBSE Class 8 Math Past Year Paper-7?
Ans. The CBSE Class 8 Math Past Year Paper-7 refers to a specific question paper from the previous years' examinations conducted by the Central Board of Secondary Education (CBSE) for Class 8 students. It is designed to assess the mathematical knowledge and skills of the students based on the prescribed syllabus for Class 8 Math.
2. How can I access the CBSE Class 8 Math Past Year Paper-7?
Ans. The CBSE Class 8 Math Past Year Paper-7 can be accessed through various sources. You can visit the official website of CBSE (cbse.nic.in) and navigate to the "Examinations" section to find the previous year question papers. Additionally, you can also find these papers on educational websites, online forums, or by seeking assistance from your school or teachers.
3. Why is it important to solve CBSE Class 8 Math Past Year Paper-7?
Ans. Solving the CBSE Class 8 Math Past Year Paper-7 is crucial for several reasons. Firstly, it helps students familiarize themselves with the exam pattern, marking scheme, and types of questions asked in the actual CBSE examinations. Secondly, it aids in improving time management skills and enhances problem-solving abilities. Finally, practicing past year papers allows students to identify their weaknesses and work on them, thereby increasing their chances of scoring well in the exams.
4. Are the questions in CBSE Class 8 Math Past Year Paper-7 the same as the actual exam?
Ans. While the questions in CBSE Class 8 Math Past Year Paper-7 may not be the exact ones that will appear in the current year's exam, they are formulated based on the same syllabus and follow a similar pattern. Solving these papers will give you a fair idea of the type of questions that can be expected in the actual exam, helping you prepare better.
5. Can I rely solely on CBSE Class 8 Math Past Year Paper-7 for exam preparation?
Ans. While solving CBSE Class 8 Math Past Year Paper-7 is an essential part of exam preparation, it is not sufficient on its own. It is recommended to thoroughly study the textbook, practice additional questions from other sources, and seek clarification from teachers to strengthen your understanding of the subject. The past year papers serve as a valuable supplement to your preparation, allowing you to assess your progress and identify areas that require more attention.
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