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CASE SAMPLE PAPER
Class:VIII
(Mathematics)
le; : 2½ ?kaVs vf/kdre vad % 50
Time : 2½ Hours Max. Marks : 50
lkekU; funsZ”k %
1. lHkh Á”u vfuok;Z gSaA
2. d`i;k Á”u&i= dk mÙkj fy[kuk “kq# djus ls igys] Á”u dk Øekad vo”; fy[ksaA
3. bl Á”u i= esa dqy 22 Á”u gSa] tksfd pkj [k.Mksa v] c] l vkSj n esa foHkkftr gSA
4. [k.M v esa dqy 5 Á”u gSa] tks lHkh 1 vad ds gSA
5. [k.M c esa dqy 9 Á”u gSa] tks lHkh 2 vad ds gSA
6. [k.M l esa dqy 5 Á”u gSa] tks lHkh 3 vad ds gSA
7. [k.M n esa dqy 3 Á”u gSa] tks lHkh 4 vad ds gSA
8. iz”u&i= esa dksbZ lexz fodYi ugha gSA rFkkfi 3 vadksa okys 1 iz”u esa vkSj 4 vadks
okys 1 iz”u esa vkarfjd fodYi iznku fd, x, gSaA ,sls iz”uksa esa vkidks fn, x,
fodYiksa esa ls dsoy ,d iz”u gy djuk gSA
9. dSydqysVj dk Á;ksx oÆtr gSaA
General Instructions:
1. All the questions are compulsory.
2. Please write down the Serial Number of the question before attempting
it.
3. The question paper consists of 22 questions and it is divided into four
sections A, B, C and D.
4. Section A comprises of 5 questions carrying 1 mark each.
5. Section B comprises of 9 questions carrying 2 marks each.
6. Section C comprises of 5 questions carrying 3 marks each.
7. Section D comprises of 3 questions carrying 4 marks each.
8. There is no overall choice. However, an internal choice has been
provided in 1 question of 3 marks and 1 question of 4 marks each. You
have to attempt only one of the alternatives in all such questions.
9. Use of calculator is not permitted.
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[k.M v (Section A)
1. fn, x, fxykl ds fp= ds fy, Åij ls n`”; cukb,A ①
Draw the top view for the given figure of glass.
2. D;k 2498 ,d iw.kZ oxZ la[;k gks ldrh gS\ dkj.k nhft,A ①
Can 2498 be a perfect square number? Give reason.
3. fuEu esa ls dkSu lh la[;k 10 ls foHkkT; gS\ ①
Which of the following numbers are divisible by 10?
3065, 2000, 1503, 2018
4. (a+b) dk foLrkfjr :i fyf[k,A
2
①
Expand (a+b)2.
5. (123)2 rFkk (109)2 esa ls dkSu lh la[;k vad 1 ij lekIr gksxh\ ①
Which number will end on digit 1 among (123)2 and (109)2?
[k.M c (Section B)
6. xq.ku[kaM dhft,% ②
Factorize:
m2-25
7. Rkkfydk dks iwjk dhft,% ②
Complete the table:
feyku fpUg ckjackjrk
Tally marks Frequency
12
07
8. ,d leprqHkqZt ds fod.kZ 12 lseh vkSj 9 lseh gS vkSj mldh špkbZ 5 lseh
gSA leprqHkqZt dk {ks=Qy Kkr dhft,A ②
The diagonals of a rhombus are 12 cm and 9 cm and its height is 5 cm.
Find the area of the rhombus.
9. fuEu dks foLrkfjr :Ik esa fyf[k,% ②
Expand the following:
(i) 1025.63
(ii) 125.08
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10. ,d ?kukHk ds fy, vk;yj lw= dks lR;kfir dhft,A ②
Verify Euler’s formula for a cuboid.
11. 4l(10n-3m+21) esa ls 3l(l-4m+5n) dks ?kVkb,A ②
Subtract 3l(l-4m+5n) from 4l(10n-3m+21).
12. Lka[;k 15p87] 3 ls foHkkT; gS tgk¡ p ,d vad gS] rks p dk eku
Kkr dhft,A ②
The number 15p87 is divisible by 3 where p is any digit. Find
the value of p.
13. Hkkx dhft,% ②
Divide:
(am2+bm2-bn2-an2) ÷ (m+n)
14. eku Kkr dhft,% ②
Simplify:
[k.M l (Section C)
15. ,d iarx TAPE dh jpuk dhft, ftlesa AE= 8 cm, TE= 4cm rFkk PE=6cm
gSA ③
Construct a kite TAPE in which AE= 8 cm, TE= 4cm and PE=6cm.
16. 120 O;fDr;ksa ls mudh ialn ds Hkkstu ds ckjs esa iwNk x;kA buls izkIr vk¡dM+ksa
dks fuEu rkfydk esa n”kkZ;k x;k gSA bl lwpuk dks n”kkZus ds fy, ,d ikbZ pkVZ
[khafp,A ③
A group of 120 people is asked about their favourite food. The data
obtained is shown in the following table. Draw a pie chart for the given
information.
euialn Hkkstu mŸkj Hkkjrh; nf{k.k Hkkjrh; pkbuht+ vU; dqy
Favourite food North Indian South Indian Chinese Others Total
O;fDr;ksa dh la[;k 30 55 20 15 120
No. of people
17. mfpr loZlfedk dk iz;ksx djrs gq, 9.8 x 10.2 dk eku Kkr dhft,A ③
By using appropriate identity, find the value of 9.8 x 10.2
vFkok OR
ljy dhft,%
Solve:
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4y(3y2+5y-7) + 2(y3-4y2+7)
18. gy dhft,% ③
Solve:
+( )+( )
19. feyku dhft,% ③
Match the following:
(i)√ . (a)23.04
(ii) (1000)2 (b) 0.42
(iii) (4.8)2 (c) 100000
(d) 106
(e) 4.2
[k.M n (Section D)
20. jkekuqt izfr o’kZ cSad esa dqN /ku tek djrk gS ftl ij mls okÆ’kd 10 izfr”kr
C;kt izkIr gksrk gSAjkekuqt }kjk tek fd;k x;k /ku rFkk ml ij izkIr C;kt
fuEu rkfydk esa n”kkZ;k x;k gSA ④
Ramanuj deposits some amount in bank yearly and earns an yearly
interest of 10% on it. The amount deposited and interest earned by
Ramanuj is shown in the following table:
tek /ku(₹ es)a 100 200 300 400
Amount(in ₹)
okÆ’kd C;kt (₹ es)a 10 20 30 40
Yearly interest (in₹)
mijksDr rkfydk dks vkys[k }kjk n”kkZb,A
Prepare the graph for the above table.
21. ty&foHkkx }kjk dkWyksuh ds 150 ?kjksa esa izfrfnu izR;sd ?kj esa 10]000 yhVj
ikuh dh vkiwÆr dh tkrh gSA;fn mlh ikuh dks dsoy 120 ?kjksa esa Hkstuk gks] rks
izR;sd ?kj esa fdrus yhVj ikuh miyC/k gks ldsxk\ ④
Water board supplies 10,000 litre of water to every house in a colony
having 150 houses. If the water is to be supplied only to 120 houses of
the colony then what is the available amount of water to every
house?
vFkok OR
,d ikÆdax {ks= esa 24 ?kaVksa ds fy, dkj ikÆdax “kqYd ₹100 gSA ;fn ikÆdax {ks=
esa dkj iwjs vizSy ds eghus ikdZ jgs] rks dqy ikÆdax “kqYd Kkr dhft,A
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In a parking area, the car parking charges for 24 hours is ₹100. If the
car is to be parked for the month of April, then find the total parking
charges.
22. nh xbZ vkd`fr dk {ks=Qy Kkr dhft,A ④
Find the area of the following figure.