Class 8 Math: Sample Question Paper - 6 | Mathematics (Maths) Class 8 PDF Download

 Page 1


(1)
VIII-mathematIcs General Instructions :
1. The question paper consists of four Sections - A, B, C and D. Section - A consists 
of 8 questions of 1 mark each; Section-B consists of 6 questions of 2 marks each;  
Section-C consists of 10 questions of 3 marks each and Section-D consists of 10 questions 
of 4 marks each. Question No. 1 to 8 are Multiple Choice Questions where you are to 
select only one correct option out of four given options.
2. All questions are compulsory.
3. In questions on construction, the drawing should be neat and exactly as per the given 
measurements. Use ruler and compass only.
4. There is no overall choice. However, internal choices have been given in some questions.
lkekU; funsZ'k %
1-	 bl	 iz'u&i=k	 ds	 pkj	 [k.M	 gSa	 &	 v]	 c]	 l	 vkSj	 nA	 [k.M&v	 esa	 8	 iz'u	 gSa	 ftuesa	 ls	 izR;sd	 dk	 1	 vad	 gSA	
[k.M&c	 esa	 6	 iz'u	 gSa	 ftuesa	 ls	 izR;sd	 ds	 2	 vad	 gSaA	 [k.M&l	 esa	 10	 iz'u	 gSa	 ftuesa	 ls	 izR;sd	 ds	 3	 vad	
gSa	 rFkk	 [k.M&n	 esa	 10	 iz'u	 gSa	 ftuesa	 ls	 izR;sd	 ds	 4	 vad	 gSaA	 iz'u	 la[;k	 1	 ls	 8	 rd	 cgqfodYih	 iz'u	 gS	
tgk¡	vkidks	fn,	x,	pkj	fodYiksa	esa	ls	,d	lgh	fodYi	pquuk	gSA
2-	 lHkh	iz'u	vfuok;Z	gSaA
3-	 jpuk	 ds	 iz'uksa	 esa]	 jpuk	 LoPN	 rFkk	 Bhd	 gksuh	 pkfg,	 tks	 fd	 fn;s	 x;s	 ekiksa	 ds	 vuq:i	 gksA	 dsoy	 iQqVs	 rFkk	
ijdkj	dk	iz;ksx	djsaA
4-	 iz'u&i=k	ds	dqN	iz'uksa	esa	dsoy	vkUrfjd	fodYi	fn;s	x;s	gSaA
ClASS ( d{kk) : vIII
mathematIcs (xf.kr)
  
	 	
section - 'a' ([kaM&^v*)
Question number 1 to 8 carry 1 mark each. 
iz'u	la[;k	1	ls	8	rd	izR;sd	iz'u	dk	1	vad	gSA
1. Which of the following is the square of an even number?  
	 fuEu	esa	ls	dkSu	le	la[;k	dk	oxZ	gS\  
 (a) 529 (b) 250 (c) 1764 (d) 2809  
1
(1)
VIII-mathematIcs math.indd   1 9/17/2013   1:05:04 Pm
Page 2


(1)
VIII-mathematIcs General Instructions :
1. The question paper consists of four Sections - A, B, C and D. Section - A consists 
of 8 questions of 1 mark each; Section-B consists of 6 questions of 2 marks each;  
Section-C consists of 10 questions of 3 marks each and Section-D consists of 10 questions 
of 4 marks each. Question No. 1 to 8 are Multiple Choice Questions where you are to 
select only one correct option out of four given options.
2. All questions are compulsory.
3. In questions on construction, the drawing should be neat and exactly as per the given 
measurements. Use ruler and compass only.
4. There is no overall choice. However, internal choices have been given in some questions.
lkekU; funsZ'k %
1-	 bl	 iz'u&i=k	 ds	 pkj	 [k.M	 gSa	 &	 v]	 c]	 l	 vkSj	 nA	 [k.M&v	 esa	 8	 iz'u	 gSa	 ftuesa	 ls	 izR;sd	 dk	 1	 vad	 gSA	
[k.M&c	 esa	 6	 iz'u	 gSa	 ftuesa	 ls	 izR;sd	 ds	 2	 vad	 gSaA	 [k.M&l	 esa	 10	 iz'u	 gSa	 ftuesa	 ls	 izR;sd	 ds	 3	 vad	
gSa	 rFkk	 [k.M&n	 esa	 10	 iz'u	 gSa	 ftuesa	 ls	 izR;sd	 ds	 4	 vad	 gSaA	 iz'u	 la[;k	 1	 ls	 8	 rd	 cgqfodYih	 iz'u	 gS	
tgk¡	vkidks	fn,	x,	pkj	fodYiksa	esa	ls	,d	lgh	fodYi	pquuk	gSA
2-	 lHkh	iz'u	vfuok;Z	gSaA
3-	 jpuk	 ds	 iz'uksa	 esa]	 jpuk	 LoPN	 rFkk	 Bhd	 gksuh	 pkfg,	 tks	 fd	 fn;s	 x;s	 ekiksa	 ds	 vuq:i	 gksA	 dsoy	 iQqVs	 rFkk	
ijdkj	dk	iz;ksx	djsaA
4-	 iz'u&i=k	ds	dqN	iz'uksa	esa	dsoy	vkUrfjd	fodYi	fn;s	x;s	gSaA
ClASS ( d{kk) : vIII
mathematIcs (xf.kr)
  
	 	
section - 'a' ([kaM&^v*)
Question number 1 to 8 carry 1 mark each. 
iz'u	la[;k	1	ls	8	rd	izR;sd	iz'u	dk	1	vad	gSA
1. Which of the following is the square of an even number?  
	 fuEu	esa	ls	dkSu	le	la[;k	dk	oxZ	gS\  
 (a) 529 (b) 250 (c) 1764 (d) 2809  
1
(1)
VIII-mathematIcs math.indd   1 9/17/2013   1:05:04 Pm
(2)
VIII-mathematIcs 2. The selling price of an article is  of its cost price. The gain percent is- 
 fdlh	oLrq	dk	foØ;	ewY;	mlds	Ø;	ewY;	dk	 	gSA	rks	ykHk	izfr'kr	gS	&	  
 (a) 20% (b) 25% (c) 30% (d) 120%
3. list price of a pair of shoes is 450. If Anil paid 45 as vAT for it, then the  
 rate of vAT is 	 	
	 ,d	 tksM+h	 twrksa	 dk	 vafdr	 ewY;	 450	 #i;s	 gSA	 ;fn	 vfuy	 buds	 fy;s	 45	 #i;s	 oSV	 vnk	 	
	 djrk	gS	rks	oSV	dh	nj	izfr'kr	gS	&  
 (a) 20% (b) 10% (c) 15% (d) 30%
4. (x+5)(x–3) is equal to :  
 (x+5)(x–3) 	cjkcj	gS	%  
 (a) x
2
 + 5x – 15 (b) x
2
 – 3x – 15 (c) x
2
 + 2x + 15 (d) x
2
 + 2x – 15
5. If p and q are two lines and 'r' is a transversal, then the pair of angles   
 and , is called a pair   
	 (a) Alternate interior angles  
 (b) Alternate exterior angles  
 (c) Corresponding angles  
 (d) Co-interior angles
  
	 ;fn	 p vkSj	 q	 nks	 js[kk,a	 gS	 vkSj	 r fr;Zd	 js[kk	 gS]	 rks	 	 vkSj	 dk	 ,d	 ;qXe]	 	
	 dgykrk	gS&	   
 (a) ,dkarj	var%	dks.k  (b) ,dkarj	ckã	dks.k    
 (c) laxr	dks.k	 	 (d) lg&var%	dks.k
6. The ordinate of a point is its distance from the   
 (a) origin (b) y - axis (c) x - axis (d) none  
 fdlh	fcUnq	dk	dksfV	(y&funsZ'kkad)]	mldh	ftlls	nwjh	gksrh	gS]	og	gS%	 	
	 (a) ewy	fcUnq (b) y - v{k	 (c) x - v{k (d) dksbZ	ugha
7. The Co-ordinates of a point on y-axis at a distance of 5 units from x-axis  
 is 	 	 	
	 y &v{k	ij	fLFkr	,d	fcUnq]	ftldh	x-v{k	ls	nwjh	5	bdkbZ	gS]	ds	funsZ'kkad	gS	&  
 (a) (0, 5) (b) (5, 0) (c) (5, 5) (d) (2, 5)
8. When a die is thrown, the probability of getting a composite number is:- 
 tc	,d	iklk	iQsadk	tkrk	gS	rks	,d	HkkT;	la[;k	ds	vkus	dh	izkf;drk	gksxh	%  
 (a)  (b)  (c)  (d) 
1
1
1
1
1
1
(2)
VIII-mathematIcs 1
math.indd   2 9/17/2013   1:05:05 Pm
Page 3


(1)
VIII-mathematIcs General Instructions :
1. The question paper consists of four Sections - A, B, C and D. Section - A consists 
of 8 questions of 1 mark each; Section-B consists of 6 questions of 2 marks each;  
Section-C consists of 10 questions of 3 marks each and Section-D consists of 10 questions 
of 4 marks each. Question No. 1 to 8 are Multiple Choice Questions where you are to 
select only one correct option out of four given options.
2. All questions are compulsory.
3. In questions on construction, the drawing should be neat and exactly as per the given 
measurements. Use ruler and compass only.
4. There is no overall choice. However, internal choices have been given in some questions.
lkekU; funsZ'k %
1-	 bl	 iz'u&i=k	 ds	 pkj	 [k.M	 gSa	 &	 v]	 c]	 l	 vkSj	 nA	 [k.M&v	 esa	 8	 iz'u	 gSa	 ftuesa	 ls	 izR;sd	 dk	 1	 vad	 gSA	
[k.M&c	 esa	 6	 iz'u	 gSa	 ftuesa	 ls	 izR;sd	 ds	 2	 vad	 gSaA	 [k.M&l	 esa	 10	 iz'u	 gSa	 ftuesa	 ls	 izR;sd	 ds	 3	 vad	
gSa	 rFkk	 [k.M&n	 esa	 10	 iz'u	 gSa	 ftuesa	 ls	 izR;sd	 ds	 4	 vad	 gSaA	 iz'u	 la[;k	 1	 ls	 8	 rd	 cgqfodYih	 iz'u	 gS	
tgk¡	vkidks	fn,	x,	pkj	fodYiksa	esa	ls	,d	lgh	fodYi	pquuk	gSA
2-	 lHkh	iz'u	vfuok;Z	gSaA
3-	 jpuk	 ds	 iz'uksa	 esa]	 jpuk	 LoPN	 rFkk	 Bhd	 gksuh	 pkfg,	 tks	 fd	 fn;s	 x;s	 ekiksa	 ds	 vuq:i	 gksA	 dsoy	 iQqVs	 rFkk	
ijdkj	dk	iz;ksx	djsaA
4-	 iz'u&i=k	ds	dqN	iz'uksa	esa	dsoy	vkUrfjd	fodYi	fn;s	x;s	gSaA
ClASS ( d{kk) : vIII
mathematIcs (xf.kr)
  
	 	
section - 'a' ([kaM&^v*)
Question number 1 to 8 carry 1 mark each. 
iz'u	la[;k	1	ls	8	rd	izR;sd	iz'u	dk	1	vad	gSA
1. Which of the following is the square of an even number?  
	 fuEu	esa	ls	dkSu	le	la[;k	dk	oxZ	gS\  
 (a) 529 (b) 250 (c) 1764 (d) 2809  
1
(1)
VIII-mathematIcs math.indd   1 9/17/2013   1:05:04 Pm
(2)
VIII-mathematIcs 2. The selling price of an article is  of its cost price. The gain percent is- 
 fdlh	oLrq	dk	foØ;	ewY;	mlds	Ø;	ewY;	dk	 	gSA	rks	ykHk	izfr'kr	gS	&	  
 (a) 20% (b) 25% (c) 30% (d) 120%
3. list price of a pair of shoes is 450. If Anil paid 45 as vAT for it, then the  
 rate of vAT is 	 	
	 ,d	 tksM+h	 twrksa	 dk	 vafdr	 ewY;	 450	 #i;s	 gSA	 ;fn	 vfuy	 buds	 fy;s	 45	 #i;s	 oSV	 vnk	 	
	 djrk	gS	rks	oSV	dh	nj	izfr'kr	gS	&  
 (a) 20% (b) 10% (c) 15% (d) 30%
4. (x+5)(x–3) is equal to :  
 (x+5)(x–3) 	cjkcj	gS	%  
 (a) x
2
 + 5x – 15 (b) x
2
 – 3x – 15 (c) x
2
 + 2x + 15 (d) x
2
 + 2x – 15
5. If p and q are two lines and 'r' is a transversal, then the pair of angles   
 and , is called a pair   
	 (a) Alternate interior angles  
 (b) Alternate exterior angles  
 (c) Corresponding angles  
 (d) Co-interior angles
  
	 ;fn	 p vkSj	 q	 nks	 js[kk,a	 gS	 vkSj	 r fr;Zd	 js[kk	 gS]	 rks	 	 vkSj	 dk	 ,d	 ;qXe]	 	
	 dgykrk	gS&	   
 (a) ,dkarj	var%	dks.k  (b) ,dkarj	ckã	dks.k    
 (c) laxr	dks.k	 	 (d) lg&var%	dks.k
6. The ordinate of a point is its distance from the   
 (a) origin (b) y - axis (c) x - axis (d) none  
 fdlh	fcUnq	dk	dksfV	(y&funsZ'kkad)]	mldh	ftlls	nwjh	gksrh	gS]	og	gS%	 	
	 (a) ewy	fcUnq (b) y - v{k	 (c) x - v{k (d) dksbZ	ugha
7. The Co-ordinates of a point on y-axis at a distance of 5 units from x-axis  
 is 	 	 	
	 y &v{k	ij	fLFkr	,d	fcUnq]	ftldh	x-v{k	ls	nwjh	5	bdkbZ	gS]	ds	funsZ'kkad	gS	&  
 (a) (0, 5) (b) (5, 0) (c) (5, 5) (d) (2, 5)
8. When a die is thrown, the probability of getting a composite number is:- 
 tc	,d	iklk	iQsadk	tkrk	gS	rks	,d	HkkT;	la[;k	ds	vkus	dh	izkf;drk	gksxh	%  
 (a)  (b)  (c)  (d) 
1
1
1
1
1
1
(2)
VIII-mathematIcs 1
math.indd   2 9/17/2013   1:05:05 Pm
(3)
VIII-mathematIcs section - 'B' ([kaM&^c*)
Question numbers 9 to 14 carry 2 marks each.  
iz'u	la[;k	9	ls	14	rd	izR;sd	iz'u	2	vad	dk	gSaA
9. Simplify  (ljy	dhft,)	&	
OR (vFkok)
 Find the least natural number by which 396 must be multiplied so that it  
 becomes a perfect square.  
	 og	 U;wure	 izkÑr	 la[;k	 Kkr	 dhft,	 ftlls	 396	 dks	 xq.kk	 djus	 ij	 ;g	 ,d	 iw.kZ	 oxZ	 cu	 	
	 tk;sA
10. Find the value of : (eku	Kkr	dhft,)	%	
11. What is the smallest number by which 1600 must be divided so that the  
 quotient is a perfect cube?  
 og 	 NksVh 	 ls 	 NksVh 	 la[;k 	 D;k 	 gksxh 	 ftlls 	 1600 	 dks 	 Hkkx 	 nsus 	 ij 	 ,d 	 iw.kZ 	 ?ku 	 izkIr 	 gks\
12. In the given figure, .  
 If , find ,  and .  
 nh	xbZ	vkÑfr	esa]	 gSA	;fn	 		 	
	 gS	rks	 , 	vkSj	 	Kkr	dhft,A
13. Write the coordinates  
 of the vertices of the  
 following figure :  
 fuEu	vkÑfr	ds	'kh"kksZ	ds	 	
	 funsZ'kkad	fyf[k,A
2
2
2
2
(3)
VIII-mathematIcs 2
math.indd   3 9/17/2013   1:05:05 Pm
Page 4


(1)
VIII-mathematIcs General Instructions :
1. The question paper consists of four Sections - A, B, C and D. Section - A consists 
of 8 questions of 1 mark each; Section-B consists of 6 questions of 2 marks each;  
Section-C consists of 10 questions of 3 marks each and Section-D consists of 10 questions 
of 4 marks each. Question No. 1 to 8 are Multiple Choice Questions where you are to 
select only one correct option out of four given options.
2. All questions are compulsory.
3. In questions on construction, the drawing should be neat and exactly as per the given 
measurements. Use ruler and compass only.
4. There is no overall choice. However, internal choices have been given in some questions.
lkekU; funsZ'k %
1-	 bl	 iz'u&i=k	 ds	 pkj	 [k.M	 gSa	 &	 v]	 c]	 l	 vkSj	 nA	 [k.M&v	 esa	 8	 iz'u	 gSa	 ftuesa	 ls	 izR;sd	 dk	 1	 vad	 gSA	
[k.M&c	 esa	 6	 iz'u	 gSa	 ftuesa	 ls	 izR;sd	 ds	 2	 vad	 gSaA	 [k.M&l	 esa	 10	 iz'u	 gSa	 ftuesa	 ls	 izR;sd	 ds	 3	 vad	
gSa	 rFkk	 [k.M&n	 esa	 10	 iz'u	 gSa	 ftuesa	 ls	 izR;sd	 ds	 4	 vad	 gSaA	 iz'u	 la[;k	 1	 ls	 8	 rd	 cgqfodYih	 iz'u	 gS	
tgk¡	vkidks	fn,	x,	pkj	fodYiksa	esa	ls	,d	lgh	fodYi	pquuk	gSA
2-	 lHkh	iz'u	vfuok;Z	gSaA
3-	 jpuk	 ds	 iz'uksa	 esa]	 jpuk	 LoPN	 rFkk	 Bhd	 gksuh	 pkfg,	 tks	 fd	 fn;s	 x;s	 ekiksa	 ds	 vuq:i	 gksA	 dsoy	 iQqVs	 rFkk	
ijdkj	dk	iz;ksx	djsaA
4-	 iz'u&i=k	ds	dqN	iz'uksa	esa	dsoy	vkUrfjd	fodYi	fn;s	x;s	gSaA
ClASS ( d{kk) : vIII
mathematIcs (xf.kr)
  
	 	
section - 'a' ([kaM&^v*)
Question number 1 to 8 carry 1 mark each. 
iz'u	la[;k	1	ls	8	rd	izR;sd	iz'u	dk	1	vad	gSA
1. Which of the following is the square of an even number?  
	 fuEu	esa	ls	dkSu	le	la[;k	dk	oxZ	gS\  
 (a) 529 (b) 250 (c) 1764 (d) 2809  
1
(1)
VIII-mathematIcs math.indd   1 9/17/2013   1:05:04 Pm
(2)
VIII-mathematIcs 2. The selling price of an article is  of its cost price. The gain percent is- 
 fdlh	oLrq	dk	foØ;	ewY;	mlds	Ø;	ewY;	dk	 	gSA	rks	ykHk	izfr'kr	gS	&	  
 (a) 20% (b) 25% (c) 30% (d) 120%
3. list price of a pair of shoes is 450. If Anil paid 45 as vAT for it, then the  
 rate of vAT is 	 	
	 ,d	 tksM+h	 twrksa	 dk	 vafdr	 ewY;	 450	 #i;s	 gSA	 ;fn	 vfuy	 buds	 fy;s	 45	 #i;s	 oSV	 vnk	 	
	 djrk	gS	rks	oSV	dh	nj	izfr'kr	gS	&  
 (a) 20% (b) 10% (c) 15% (d) 30%
4. (x+5)(x–3) is equal to :  
 (x+5)(x–3) 	cjkcj	gS	%  
 (a) x
2
 + 5x – 15 (b) x
2
 – 3x – 15 (c) x
2
 + 2x + 15 (d) x
2
 + 2x – 15
5. If p and q are two lines and 'r' is a transversal, then the pair of angles   
 and , is called a pair   
	 (a) Alternate interior angles  
 (b) Alternate exterior angles  
 (c) Corresponding angles  
 (d) Co-interior angles
  
	 ;fn	 p vkSj	 q	 nks	 js[kk,a	 gS	 vkSj	 r fr;Zd	 js[kk	 gS]	 rks	 	 vkSj	 dk	 ,d	 ;qXe]	 	
	 dgykrk	gS&	   
 (a) ,dkarj	var%	dks.k  (b) ,dkarj	ckã	dks.k    
 (c) laxr	dks.k	 	 (d) lg&var%	dks.k
6. The ordinate of a point is its distance from the   
 (a) origin (b) y - axis (c) x - axis (d) none  
 fdlh	fcUnq	dk	dksfV	(y&funsZ'kkad)]	mldh	ftlls	nwjh	gksrh	gS]	og	gS%	 	
	 (a) ewy	fcUnq (b) y - v{k	 (c) x - v{k (d) dksbZ	ugha
7. The Co-ordinates of a point on y-axis at a distance of 5 units from x-axis  
 is 	 	 	
	 y &v{k	ij	fLFkr	,d	fcUnq]	ftldh	x-v{k	ls	nwjh	5	bdkbZ	gS]	ds	funsZ'kkad	gS	&  
 (a) (0, 5) (b) (5, 0) (c) (5, 5) (d) (2, 5)
8. When a die is thrown, the probability of getting a composite number is:- 
 tc	,d	iklk	iQsadk	tkrk	gS	rks	,d	HkkT;	la[;k	ds	vkus	dh	izkf;drk	gksxh	%  
 (a)  (b)  (c)  (d) 
1
1
1
1
1
1
(2)
VIII-mathematIcs 1
math.indd   2 9/17/2013   1:05:05 Pm
(3)
VIII-mathematIcs section - 'B' ([kaM&^c*)
Question numbers 9 to 14 carry 2 marks each.  
iz'u	la[;k	9	ls	14	rd	izR;sd	iz'u	2	vad	dk	gSaA
9. Simplify  (ljy	dhft,)	&	
OR (vFkok)
 Find the least natural number by which 396 must be multiplied so that it  
 becomes a perfect square.  
	 og	 U;wure	 izkÑr	 la[;k	 Kkr	 dhft,	 ftlls	 396	 dks	 xq.kk	 djus	 ij	 ;g	 ,d	 iw.kZ	 oxZ	 cu	 	
	 tk;sA
10. Find the value of : (eku	Kkr	dhft,)	%	
11. What is the smallest number by which 1600 must be divided so that the  
 quotient is a perfect cube?  
 og 	 NksVh 	 ls 	 NksVh 	 la[;k 	 D;k 	 gksxh 	 ftlls 	 1600 	 dks 	 Hkkx 	 nsus 	 ij 	 ,d 	 iw.kZ 	 ?ku 	 izkIr 	 gks\
12. In the given figure, .  
 If , find ,  and .  
 nh	xbZ	vkÑfr	esa]	 gSA	;fn	 		 	
	 gS	rks	 , 	vkSj	 	Kkr	dhft,A
13. Write the coordinates  
 of the vertices of the  
 following figure :  
 fuEu	vkÑfr	ds	'kh"kksZ	ds	 	
	 funsZ'kkad	fyf[k,A
2
2
2
2
(3)
VIII-mathematIcs 2
math.indd   3 9/17/2013   1:05:05 Pm
(4)
VIII-mathematIcs 14. A bag contains 3 red and 2 blue marbles. A marble is drawn at random.  
 What is the probability of drawing a blue marble?  
 ,d	 FkSys	 esa	 3	 yky	 vkSj	 2	 uhys	 jax	 ds	 daps	 (ekcZy)	 gSA	 ,d	 ekcZy	 dks	 ;kn`PN;k	 pquk	 x;k	 	
	 gSA	,d	uhys	daps	dks	pquus	dh	izkf;drk	D;k	gksxh\
section - 'c' ([kaM&^l*)
Question numbers 15 to 24 carry 3 marks each.  
iz'u	la[;k	15	ls	24	rd	izR;sd	iz'u	ds	3	vad	gSaA
15. Find the greatest four digits number, which is a perfect square.  
 pkj	vadksa	dh	og	cM+h	ls	cM+h	la[;k	Kkr	dhft,]	tksfd	,d	iw.kZ	oxZ	gksA
16. What is that decimal number which when multiplied by itself gives  
 227.798649?  
 og	n'keyo	la[;k	D;k	gS]	ftls	Lo;a	ls	xq.kk	djus	ij	227-798649	izkIr	gksrk	gS\
17. Evaluate (eku	Kkr	dhft,)	:- 
18. Three numbers are in the ratio 1 : 2 : 3. The sum of their cubes is 7776.  
 Find the numbers. 	 	
	 rhu	 la[;kvksa	 esa	 1	 %	 2	 %	 3	 dk	 vuqikr	 gS]	 rFkk	 buds	 ?kuksa	 dk	 tksM+	 7776	 gSA	 la[;k,¡	 Kkr	 	
	 dhft,A
19. In a camp, there is enough provision for 500 students for 30 days. If 100  
 more students join the camp, for how many days will the provision last  
 now?  	 	
	 ,d	 f'kfoj	 esa	 500	 fo|kfFkZ;ksa	 ds	 fy,	 30	 fnu	 dh	 O;oLFkk	 gSA	 ;fn	 blesa	 100	 fo|kFkhZ	 vkSj	 	
	 c<+	tk,a]	rks	;g	O;oLFkk	fdrus	fnuksa	rd	pysxh\
OR (vFkok)
 A shopkeeper has enough money to buy 40 books, each costing w125.  
 How many books he can buy with that money if he gets a discount of w25  
 on each book?  
 ,d	 nqdkunkj	 ds	 ikl	 125	 #i;s	 dher	 dh	 40	 iqLrdsa	 [kjhnus	 ds	 fy,	 i;kZIr	 èkujkf'k	 gSA	 	
	 ;fn	 izR;sd	 iqLrd	 ij	 mls	 25	 #i;s	 dh	 NwV	 feys	 rks	 mlh	 èkujkf'k	 esa	 og	 fdruh	 iqLrdsa	 	
	 [kjhn	ldrk	gSA
2
3
3
3
3
3
(4)
VIII-mathematIcs math.indd   4 9/17/2013   1:05:05 Pm
Page 5


(1)
VIII-mathematIcs General Instructions :
1. The question paper consists of four Sections - A, B, C and D. Section - A consists 
of 8 questions of 1 mark each; Section-B consists of 6 questions of 2 marks each;  
Section-C consists of 10 questions of 3 marks each and Section-D consists of 10 questions 
of 4 marks each. Question No. 1 to 8 are Multiple Choice Questions where you are to 
select only one correct option out of four given options.
2. All questions are compulsory.
3. In questions on construction, the drawing should be neat and exactly as per the given 
measurements. Use ruler and compass only.
4. There is no overall choice. However, internal choices have been given in some questions.
lkekU; funsZ'k %
1-	 bl	 iz'u&i=k	 ds	 pkj	 [k.M	 gSa	 &	 v]	 c]	 l	 vkSj	 nA	 [k.M&v	 esa	 8	 iz'u	 gSa	 ftuesa	 ls	 izR;sd	 dk	 1	 vad	 gSA	
[k.M&c	 esa	 6	 iz'u	 gSa	 ftuesa	 ls	 izR;sd	 ds	 2	 vad	 gSaA	 [k.M&l	 esa	 10	 iz'u	 gSa	 ftuesa	 ls	 izR;sd	 ds	 3	 vad	
gSa	 rFkk	 [k.M&n	 esa	 10	 iz'u	 gSa	 ftuesa	 ls	 izR;sd	 ds	 4	 vad	 gSaA	 iz'u	 la[;k	 1	 ls	 8	 rd	 cgqfodYih	 iz'u	 gS	
tgk¡	vkidks	fn,	x,	pkj	fodYiksa	esa	ls	,d	lgh	fodYi	pquuk	gSA
2-	 lHkh	iz'u	vfuok;Z	gSaA
3-	 jpuk	 ds	 iz'uksa	 esa]	 jpuk	 LoPN	 rFkk	 Bhd	 gksuh	 pkfg,	 tks	 fd	 fn;s	 x;s	 ekiksa	 ds	 vuq:i	 gksA	 dsoy	 iQqVs	 rFkk	
ijdkj	dk	iz;ksx	djsaA
4-	 iz'u&i=k	ds	dqN	iz'uksa	esa	dsoy	vkUrfjd	fodYi	fn;s	x;s	gSaA
ClASS ( d{kk) : vIII
mathematIcs (xf.kr)
  
	 	
section - 'a' ([kaM&^v*)
Question number 1 to 8 carry 1 mark each. 
iz'u	la[;k	1	ls	8	rd	izR;sd	iz'u	dk	1	vad	gSA
1. Which of the following is the square of an even number?  
	 fuEu	esa	ls	dkSu	le	la[;k	dk	oxZ	gS\  
 (a) 529 (b) 250 (c) 1764 (d) 2809  
1
(1)
VIII-mathematIcs math.indd   1 9/17/2013   1:05:04 Pm
(2)
VIII-mathematIcs 2. The selling price of an article is  of its cost price. The gain percent is- 
 fdlh	oLrq	dk	foØ;	ewY;	mlds	Ø;	ewY;	dk	 	gSA	rks	ykHk	izfr'kr	gS	&	  
 (a) 20% (b) 25% (c) 30% (d) 120%
3. list price of a pair of shoes is 450. If Anil paid 45 as vAT for it, then the  
 rate of vAT is 	 	
	 ,d	 tksM+h	 twrksa	 dk	 vafdr	 ewY;	 450	 #i;s	 gSA	 ;fn	 vfuy	 buds	 fy;s	 45	 #i;s	 oSV	 vnk	 	
	 djrk	gS	rks	oSV	dh	nj	izfr'kr	gS	&  
 (a) 20% (b) 10% (c) 15% (d) 30%
4. (x+5)(x–3) is equal to :  
 (x+5)(x–3) 	cjkcj	gS	%  
 (a) x
2
 + 5x – 15 (b) x
2
 – 3x – 15 (c) x
2
 + 2x + 15 (d) x
2
 + 2x – 15
5. If p and q are two lines and 'r' is a transversal, then the pair of angles   
 and , is called a pair   
	 (a) Alternate interior angles  
 (b) Alternate exterior angles  
 (c) Corresponding angles  
 (d) Co-interior angles
  
	 ;fn	 p vkSj	 q	 nks	 js[kk,a	 gS	 vkSj	 r fr;Zd	 js[kk	 gS]	 rks	 	 vkSj	 dk	 ,d	 ;qXe]	 	
	 dgykrk	gS&	   
 (a) ,dkarj	var%	dks.k  (b) ,dkarj	ckã	dks.k    
 (c) laxr	dks.k	 	 (d) lg&var%	dks.k
6. The ordinate of a point is its distance from the   
 (a) origin (b) y - axis (c) x - axis (d) none  
 fdlh	fcUnq	dk	dksfV	(y&funsZ'kkad)]	mldh	ftlls	nwjh	gksrh	gS]	og	gS%	 	
	 (a) ewy	fcUnq (b) y - v{k	 (c) x - v{k (d) dksbZ	ugha
7. The Co-ordinates of a point on y-axis at a distance of 5 units from x-axis  
 is 	 	 	
	 y &v{k	ij	fLFkr	,d	fcUnq]	ftldh	x-v{k	ls	nwjh	5	bdkbZ	gS]	ds	funsZ'kkad	gS	&  
 (a) (0, 5) (b) (5, 0) (c) (5, 5) (d) (2, 5)
8. When a die is thrown, the probability of getting a composite number is:- 
 tc	,d	iklk	iQsadk	tkrk	gS	rks	,d	HkkT;	la[;k	ds	vkus	dh	izkf;drk	gksxh	%  
 (a)  (b)  (c)  (d) 
1
1
1
1
1
1
(2)
VIII-mathematIcs 1
math.indd   2 9/17/2013   1:05:05 Pm
(3)
VIII-mathematIcs section - 'B' ([kaM&^c*)
Question numbers 9 to 14 carry 2 marks each.  
iz'u	la[;k	9	ls	14	rd	izR;sd	iz'u	2	vad	dk	gSaA
9. Simplify  (ljy	dhft,)	&	
OR (vFkok)
 Find the least natural number by which 396 must be multiplied so that it  
 becomes a perfect square.  
	 og	 U;wure	 izkÑr	 la[;k	 Kkr	 dhft,	 ftlls	 396	 dks	 xq.kk	 djus	 ij	 ;g	 ,d	 iw.kZ	 oxZ	 cu	 	
	 tk;sA
10. Find the value of : (eku	Kkr	dhft,)	%	
11. What is the smallest number by which 1600 must be divided so that the  
 quotient is a perfect cube?  
 og 	 NksVh 	 ls 	 NksVh 	 la[;k 	 D;k 	 gksxh 	 ftlls 	 1600 	 dks 	 Hkkx 	 nsus 	 ij 	 ,d 	 iw.kZ 	 ?ku 	 izkIr 	 gks\
12. In the given figure, .  
 If , find ,  and .  
 nh	xbZ	vkÑfr	esa]	 gSA	;fn	 		 	
	 gS	rks	 , 	vkSj	 	Kkr	dhft,A
13. Write the coordinates  
 of the vertices of the  
 following figure :  
 fuEu	vkÑfr	ds	'kh"kksZ	ds	 	
	 funsZ'kkad	fyf[k,A
2
2
2
2
(3)
VIII-mathematIcs 2
math.indd   3 9/17/2013   1:05:05 Pm
(4)
VIII-mathematIcs 14. A bag contains 3 red and 2 blue marbles. A marble is drawn at random.  
 What is the probability of drawing a blue marble?  
 ,d	 FkSys	 esa	 3	 yky	 vkSj	 2	 uhys	 jax	 ds	 daps	 (ekcZy)	 gSA	 ,d	 ekcZy	 dks	 ;kn`PN;k	 pquk	 x;k	 	
	 gSA	,d	uhys	daps	dks	pquus	dh	izkf;drk	D;k	gksxh\
section - 'c' ([kaM&^l*)
Question numbers 15 to 24 carry 3 marks each.  
iz'u	la[;k	15	ls	24	rd	izR;sd	iz'u	ds	3	vad	gSaA
15. Find the greatest four digits number, which is a perfect square.  
 pkj	vadksa	dh	og	cM+h	ls	cM+h	la[;k	Kkr	dhft,]	tksfd	,d	iw.kZ	oxZ	gksA
16. What is that decimal number which when multiplied by itself gives  
 227.798649?  
 og	n'keyo	la[;k	D;k	gS]	ftls	Lo;a	ls	xq.kk	djus	ij	227-798649	izkIr	gksrk	gS\
17. Evaluate (eku	Kkr	dhft,)	:- 
18. Three numbers are in the ratio 1 : 2 : 3. The sum of their cubes is 7776.  
 Find the numbers. 	 	
	 rhu	 la[;kvksa	 esa	 1	 %	 2	 %	 3	 dk	 vuqikr	 gS]	 rFkk	 buds	 ?kuksa	 dk	 tksM+	 7776	 gSA	 la[;k,¡	 Kkr	 	
	 dhft,A
19. In a camp, there is enough provision for 500 students for 30 days. If 100  
 more students join the camp, for how many days will the provision last  
 now?  	 	
	 ,d	 f'kfoj	 esa	 500	 fo|kfFkZ;ksa	 ds	 fy,	 30	 fnu	 dh	 O;oLFkk	 gSA	 ;fn	 blesa	 100	 fo|kFkhZ	 vkSj	 	
	 c<+	tk,a]	rks	;g	O;oLFkk	fdrus	fnuksa	rd	pysxh\
OR (vFkok)
 A shopkeeper has enough money to buy 40 books, each costing w125.  
 How many books he can buy with that money if he gets a discount of w25  
 on each book?  
 ,d	 nqdkunkj	 ds	 ikl	 125	 #i;s	 dher	 dh	 40	 iqLrdsa	 [kjhnus	 ds	 fy,	 i;kZIr	 èkujkf'k	 gSA	 	
	 ;fn	 izR;sd	 iqLrd	 ij	 mls	 25	 #i;s	 dh	 NwV	 feys	 rks	 mlh	 èkujkf'k	 esa	 og	 fdruh	 iqLrdsa	 	
	 [kjhn	ldrk	gSA
2
3
3
3
3
3
(4)
VIII-mathematIcs math.indd   4 9/17/2013   1:05:05 Pm
(5)
VIII-mathematIcs 20. By selling 42 oranges, a person loses a sum equal to the selling price of 8  
 oranges. Find the loss percent. 	 	
	 42	 larjs	 cspus	 ij]	 ,d	 vkneh	 dks	 8	 larjksa	 ds	 foØ;	 ewY;	 ds	 cjkcj	 gkfu	 gksrh	 gSA	 gkfu	 	
	 izfr'kr	Kkr	dhft,A
21. Factorise (xq.ku[kaM	Kkr	dhft,)	: 9x
2
y – 24xy
2
 – 16y
3
22. In the figure, show that :  
 (i)   
 (ii)   
 (iii)   
 Justify your answer.  
 nh	xbZ	vkÑfr	esa]	n'kkZb,	&	 	
	 (i)  (ii)  (iii) 	 	
	 mÙkj	dks	lR;kfir	dhft,A
OR (vFkok)
 In the given figure, in ,   
  is an altitude show that  
 (i)   
 (ii)   
 (iii) . Give reasons.  
 fn,	x,	fp=k	esa]	 esa	 	 	
	 vfHkyEc	gSA	fl¼	djsa	%&	 	
	 (i)   
 (ii)   
 (iii)  dkj.k	Hkh	crk,aA
23. Plot the points A(2, 3), B(5, 3), C(5, 5) and D(2, 5) on graph paper. Connect  
 the points in that order so as to get a closed figure ABCD. What type of  
 figure do you get?  
 fcUnqvksa	A(2, 3), B(5, 3), C(5, 5) 	 vkSj	D(2, 5) 	 dks	 vkys[k	 ij	 n'kkZb,A	 bu	 fcUnqvksa	 dks	 	
	 bl	 Øe	 ls	 tksM+s	 fd	 ABCD ,d	 can	 vkÑfr	 feys	 blls	 fdl	 izdkj	 dh	 vkÑfr	 	
	 feyrh	gS\
3
3
3
(5)
VIII-mathematIcs 3
math.indd   5 9/17/2013   1:05:05 Pm