Page 1
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.
[k.M v (Section A)
1. 3 = 3 X 3 X 3 = _________
3
①
Page 2
2. ;fn iFk dh pkSM+kbZ 5 eh gS] rks x dk eku Kkr dhft,A ①
If the width of the path is 5m, then find the value of x.
3. lh/kk lekuqikr ;k foykse lekuqikr crkb,A ①
Tell whether direct proportion or indirect proportion.
“cSad esa tek dh xbZ jkf”k rFkk ml ij vÆtr C;kt ”
“Sum deposited in the bank and interest earned on it”
4. x vkSj p dk xq.kuQy Kkr dhft,A ①
Find the product of x and p.
5. 5xy rFkk 5z esa lkoZ xq.ku[kaM crkb,A ①
Write the common factor of 5xy and 5z.
[k.M c (Section B)
6. lR; ,oa vlR; crkb,% ②
(i) ftl O;atd esa dsoy ,d in gksrk gS] mls cgqin dgrs gSaA
(ii) 4x2 dk ,d xq.ku[kaM 2 gSA
State true or False:
(i) An expression having only one term is called polynomial.
(ii) 2 is a factor of 4x2.
7. Rkkfydk dks iwjk dhft,% ②
Fill in the table:
iSVªky
s ¼yhVj esa½ 2 3 5
Petrol (in Litres)
nwjh ¼fdeh esa½ 10 20 25
Distance (in Km)
8. og la[;k Kkr dhft, ftlls 392 dks xq.kk djus ij og iw.kZ ?ku la[;k cu
②
tk,A bl izdkj izkIr la[;k dk ?kuewy Hkh Kkr dhft,%
Find the number which should be multiplied to 392 to make it a
perfect cube. Find the cube root of the number so obtained.
Page 3
9. xq.kuQy Kkr dhft, ②
Find the product
(a – 2)(p + 3)
10. nh xbZ vkd`fr dk ifjeki Kkr dhft,A ②
Find the perimeter of the given figure.
11. vHkkT; xq.ku[kaM fof/k ls 64 dk ?kuewy Kkr dhft,A ②
Find the cube root of 64 by prime factorization method.
12. Lkkseokj dks ,d nqdku ls dqy 1000 yksxksa us leku [kjhnkA ;fn 250
O;fDr;ksa us twrs [kjhns rks twrs [kjhnus okys yksxksa ds fy, dsUnzh; dks.k Kkr
dhft,A ②
A total of 1000 people purchased items from a shop on Monday. If 250
people purchased shoes the find the central angle of the people who
purchased shoes.
13. p =0 ij 6p2 – 7p + 5 dk eku Kkr dhft,A ②
Find the value of 6p – 7p + 5 at p =0.
2
14. ②
4 7
ikbiksa dh la[;k
Number of pipes
70 X
le; ¼feuV esa½
Time (in minutes)
;g _____________ lekuqikr gSA
It is _____________ proportion.
4 X 70 = 7 X x
x = ______
Page 4
[k.M l (Section C)
15. feyku dhft, % ③
Match the following:
(a) ( – 4)3 (i) 18
(b) √ (ii) 64
(c) (– 3) X (– 3) X 2 (iii) 1
(iv) – 64
16. xq.ku[kaM dhft,% ③
Factorize:
10ab + 4a + 5b + 2
17. fuEu fp= ds vk/kkj ij iz”uksa ds mŸkj nhft,A ③
Answer the following questions based on the given figure:
(i) ;g fdl izdkj dk vkys[k gS\
ikbZ pkVZ@naM vkys[k@nksgjk naM vkys[k
(ii) bl vkys[k es D;k lwpuk nh xbZ gS?
(iii) fdl eghus es lcls vf/kd LuksQky gqbZ \
(i) What kind of graph is it?
Pie chart/ BAR GRAPH/ Double bar graph
(ii) What information is given in this graph?
(iii) Which month has the maximum snowfall?
Page 5
18. fuEu es ls ,dinh f}inh f=inh NkWfV,A ③
Find out the monomial, binomial and trinomial from the following:
(i) x+2y-z
(ii) 4p-5
(iii) -2x+3
(iv) x2-yz+z2
(v) -10b
(vi) 100
(vii) -3s+l
(viii) -d
19. nh xbZ vkd`fr esas f=Hkqt dk {ks=Qy Kkr dhft,A ③
Find the area of the following triangle.
vFkok OR
fn, x, lekrj prqHkZqt dk {ks=Qy 60 cm2 gS AHkqtk dh yckbZ Kkr dhft,A
The area of the given parallelogram is 60 cm2. Find the length of the side AB.
[k.M n (Section D)
20. 45 xk; ,d [ksr dks 8 fnu esa pj ldrh gSa A ml [ksr dks 6 fnu esa fdruh xk;
pj ldrh gSa ? ④
45 cows can graze afield in 8 days. How many cows will graze the
same field in 6 days?
Page 6
vFkok OR
,d rkykc ls 80 ckfYV;ks esa ikuh Hkjk x;k tcfd izR;sd ckYVh esa 20 yhVj ikuh gS A
;fn ikuh Hkjus ds fy, 100 ckfYV;kW gSa rks izR;sd ckYVh esa fdrus yhVj ikuh vk,xk?
The water is filled into 80 buckets from a pond. Every bucket has 20 l
of water in it. If there are 100 buckets to fill then how much litre of
water will be there in each bucket?
21. lR; ,oa vlR; crkb,% ④
(i) oxZ dk {ks=Qy =4 X Hkqtk
(ii) o`r dk O;kl = 2 X f=T;k
(iii) f=Hkqt dk {ks=Qy= vk/kkj Xyac
(iv) vk;r dk ifjeki =yckb XpkSMkbZ
State true or False:
(i) Area of square = 4Xside
(ii) Diameter of circle = 2 X radius
(iii) Area of triangle = baseX height
(iv) Perimeter of rectangle = 2 X (length + breadth)
22. mnkgj.kkuqlkj Rkkfydk dks iwjk dhft, rFkk ikbZ pkVZ cukb, A ④
Complete the table according to example and then draw a
pie –chart.
ifjogu O;fDr;ksa dh l[;k dsUnzh; dks.k
Transport No. of persons Central angle
Lkkbfdy 72 X 3600= 720
Cycle
iSny 108
On foot
cl ;k dkj 180
Bus or Car
360
dqy
Total