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Section - A ([kaM & v)

1. Write down 72 as the sum of atleast three odd numbers.

(7)2 dks fdUgha rhu fo"ke la[;kvksa ds ;ksx esa fyf[k,A

2. Factorise (xq.ku[kaM dhft,) % (y – x)a + (x – y)b

General Instructions :1. The question paper consists of four sections : A, B, C and D.

Section A consists of 4 questions of 1 marks each. Section B consists of 6 questions of 2 marks each. Section C consists of 10 questions of 3 marks each. Section D consists of 11 questions of 4 marks each.

2. All questions are compulsory.3. In questions of construction, the drawing should be neat and clean and exactly as per

the given measurements. Use ruler and compass.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 [kaM v esa 4 iz'u gSa ftuesa ls izR;sd dk 1 vad gSA [kaM c esa 6 iz'u gSa ftuesa ls izR;sd dk 2 vad gSA [kaM l esa 10 iz'u gSa ftuesa ls izR;sd dk 3 vad gSA [kaM n esa 11 iz'u gSa ftuesa ls izR;sd dk 4 vad 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 iqQVs rFkk ijdkj dk iz;ksx djsaA

4- ç'u i=k ds dqN iz'uksa esa dsoy vkarfjd fodYi fn;s x;s gSaA

MATHeMATIcS(Summative Assessment - I)

Time : 3 Hrs. Maximum Marks : 90

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3. A polyhedron has 30 edges and 20 vertices. How many faces does this

polyhedron has?

,d cgqiQyd dh 30 Hkqtk,a vkSj 20 'kh"kZ gSA bl cgqiQyd ds fdrus iQyd

gksaxs\

4. Find the surface area of a cube which is open at the top and whose

edge is 11 cm.

,d ?ku ftldk Åijh fljk [kqyk gS vkSj Hkqtk dh yEckbZ 11 ls-eh- gS] dk i`"Bh;

{ks=kiQy Kkr dhft,A

Section - B ([kaM & c)

5. If 121 81 99´ = then find the value of 1.21 0.81´ .

;fn 121 81 99´ = gks rks 1.21 0.81´ dk eku Kkr dhft,A

6. Find the cube root of 250

1024-

250

1024-

dk ?kuewy Kkr dhft,A

7. If the cube root of 704969 is 89 then find the cube root of 64

704.969 ;fn 704969 dk ?kuewy 89 gS rks

64704.969

dk ?kuewy Kkr dhft,A

8. Rohini paid 12% VAT on an air conditioner bought for ` 28,000.

Find the price of the air conditioner before VAT was added.

jksfg.kh ,d okrkuqdqfyr ;a=k 12 izfr'kr oSV dh nj ls ` 28000 esa [kjhnrh gSA oSV

tqM+us ls igys okrkuqdqfyr ;a=k dh dher Kkr dhft,A

9. Find the area of a trapezium with base 15 cm and height 8 cm, if the

side parallel to the given base is 9 cm long.

,d leyac ds vkèkkj dh yEckbZ 15 ls-eh- vkSj Å¡pkbZ 8 ls-eh- gSA ;fn fn, x,

vkèkkj ds leakrj Hkqtk dh yEckbZ 9 ls-eh- gks rks leyac dk {ks=kiQy Kkr dhft,A

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10. Two right circular cylinders of equal volume are such that their radii

are in the ratio 2 : 3. Find the ratio of their heights.

cjkcj vk;ru okys nks yEc o`rh; csyuksa dh f=kT;kvksa dk vuqikr 2 % 3 gSA budh

ÅpkbZ dk vuqikr Kkr dhft,A

Section - c ([kaM & l)

11. Using division method, find the square root of 256.6404

Hkkx fof/ dk iz;ksx djds 256-6404 dk oxZewy Kkr dhft,A

12. Find the smallest number that must be added to 18625 to make it a

perfect square.

og U;wure la[;k Kkr dhft, ftls 18625 esa tksM+us ij la[;k ,d iw.kZ oxZ cu

tk,A

13. What is the smallest number by which 3087 must be divided so that the

quotient is a perfect cube? Also find the cube root of the resulting number.

og U;wure la[;k D;k gksxh ftlls 3087 dks Hkkx nsus ij ,d iw.kZ ?ku la[;k cu

tk,\ izkIr la[;k dk ?kuewy Hkh Kkr dhft,A

14. Using estimation method, find the cube root of 226981.

vkdyu fof/ dk iz;ksx djds 226981 dk ?kuewy Kkr dhft,A

15. If 300 trees are planted in 12 rows, how many trees can be planted

in 35 rows?

;fn 300 ikS/s 12 iafDr;ksa esa yxk;s tkrs gSa rks 35 iafDr;ksa esa fdrus ikSèks yxk,¡

tk ldrs gSa\

16. By selling 125 books, a shopkeeper gains an amount equal to the

selling price of 5 books. Find his profit percent.

125 iqLrdksa dh fcØh ij ,d nqdkunkj dks 5 iqLrdksa ds foØ; ewY; ds cjkcj

ykHk gksrk gS rks mldk ykHk izfr'kr Kkr dhft,A

OR (vFkok)

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A trader marks his goods at 40% above the cost price and allows a discount of 25% on the marked price. What is his gain percent? ,d O;kikjh viuh oLrqvksa dk vafdr ewY; Ø; ewY; ls 40% vf/d vafdr djrk gS vkSj vafdr ewY; ij 25% dh NwV nsrk gSA mldk ykHk izfr'kr D;k gS\

17. Find the value of x if

x dk eku Kkr dhft,A ;fn &

( ) ( )2 23 3pqx p q p q= + - -

18. In the given figure if

AB CD, CD EF and

y : z = 3 : 7, find x.

nh xbZ vkÑfr esa] ;fn

AB CD, CD EF vkSj

y : z = 3 : 7 gS rks x Kkr

dhft,A

19. In the given figure show that

(i) PQ RS

(ii) RS TU

(iii) PQ TU

nh xbZ vkÑfr esa n'kkZb, fd

(i) PQ RS

(ii) RS TU

(iii) PQ TU

20. Plot the points A(2, 2), B(2, 4), C(4, 4) and D(4, 2) on graph. Join the points in that order so as to get a closed figure ABCD. Identify the type of quadrilateral so formed. fcUnq A(2, 2), B(2, 4), C(4, 4) vkSj D(4, 2) dks vkys[k ij vafdr dhft,A fcUnqvksa dks bl Øe esa tksM+s fd ,d can vkÑfr ABCD izkIr gksA izkIr vkÑfr dks igpkfu;sA

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Alternate question for visually challenged students in lieu of Q. No. 20.

ç'u la[;k 20 ds LFkku ij n`f"V ckfèkr fo|kfFkZ;ksa ds fy,

A school collected ` 230400 as fees from its students of Class VII and VIII.

If each student paid as many rupees as there were students in the class VII

& VIII, how many students were there in the class VII & VIII?

,d fo|ky; d{kk VII ,oa VIII ds Nk=kksa ls ` 230400 iQhl ,df=kr djrk gSA ;fn

izR;sd Nk=k d{kk VII ,oa VIII ds Nk=kksa dh la[;k ds cjkcj iQhl Hkjrk gS rks bu

d{kkvksa esa fdrus Nk=k gSa\

Section - D ([kaM & n)

21. A lady developed a square park for physically handicapped children.

She spent ` 1,76,400 on the development of park at the rate of ` 25 per

square metre. Find the perimeter of the park.

,d vkSjr fno;k¡x cPpksa ds fy, ,d oxkZdkj ikdZ cuokrh gSA og ml ikdZ ds

mn~èkkj ds fy, ` 25 izfr oxZ ehVj dh nj ls `1]76]400 [kpZ djrh gSA ikdZ dk

ifjeki Kkr dhft,A

22. A school has 8 periods in a day each of 45 minutes duration. How long

would each period be if the school has 9 periods in a day? How many

periods can be there if each period is of the duration of 36 minutes?

,d fo|ky; esa ,d fnu esa 45 feuV vofèk ds 8 fifj;M+ gSA ;fn ,d fnu esa

ifjf;M+ 9 gks rks mudh vof/ D;k gksxh\ ;fn ,d fnu esa izR;sd fifj;M+ dh vof/

36 feuV gks rks ifjf;M+ksa dh la[;k D;k gksxh\

23. A train 350m long is travelling at a speed of 108 km / hr. How much

time (in seconds) will it take to cross a tunnel 550m long?

,d 350 ehVj yEch jsyxkM+h 108 fdyksehVj izfr ?kaVs dh xfr ls py jgh gSA 550

ehVj yEch xqiQk dks ikj djus eas bls fdruk le; yxsxk\

OR (vFkok)

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Niti wanted to buy gifts for her son's birthday party. She had enough

money to buy 24 toys costing ` 250 each. If the price of the toys has

increased by 20%, how many toys can she buy now?

fufr vius csVs dh tUefnu dh ikVhZ ds fy, migkj [kjhnuk pkgrh gSA mlds ikl

250 #i;s dh dher ds 24 f[kykSus [kjhnus dh i;kZIr jkf'k gSA ;fn f[kykSus dh

dher 20 izfr'kr c<+k nh tk, rks og vc fdrus f[kykSus [kjhn ldrh gS\

24. If the selling price of 18 oranges is equal to the cost price of 16 oranges,

find the loss or gain percent.

;fn 18 larjksa dk foØ; ewY; 16 larjksa ds Ø; ewY; ds cjkcj gks rks ykHk ;k gkfu

izfr'kr Kkr dhft,A

25. A dealer purchased a washing machine for ` 7660. He allows a

discount of 12% on its marked price and still gains 10%. Find the

marked price of the machine.

,d Mhyj 7660 :i;s dh ,d okf'kax e'khu [kjhnrk gSA vafdr ewY; ij 12

izfr'kr dh NwV nsus ij mls 10 izfr'kr dk ykHk gksrk gSA e'khu dk vafdr ewY;

Kkr dhft,A

26. What positive integer must be added to 9x2 – 24x + 10 to make it a whole

square? Express the resulting expression as a square of a binomial and

then evaluate it for x = –2.

9x2 – 24x + 10 dks iw.kZ oxZ cukus gsrq D;k ;ksx fd;k tk,\ izkIr cgqin dks f}inh

ds oxZ :i esa fyf[k, rFkk x = –2 ij bldk eku Kkr dhft,A

27. Factorise (xq.ku[kaM dhft,A)

25a2 – 4b2 + 28bc – 49c2

28. Draw a line segment AB = 7cm. Find a point Q on it such that AQ =25

QB.

Measure the smaller part.

,d js[kk[k.M AB = 7 ls-eh- [khafp,A bl ij ,d fcUnq Q Kkr dhft, ftlls

AQ =25

QB gksA NksVs Hkkx dh yEckbZ ekfi,A

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Alternate question for visually challenged students in lieu of Q. No. 28.

ç'u la[;k 28 ds LFkku ij n`f"V ckfèkr fo|kfFkZ;ksa ds fy,

Madhaw bought two shirts for ` 960 each. He sold one of them at a loss of

4% and the other at a gain of 8%. Find his gain or loss per cent on the whole

transaction.

ek/o nks deht izfr 960 :i;s dh [kjhnrk gSA og ,d deht dks 4 izfr'kr dh

gkfu ij nwljh deht dks 8 izfr'kr ds ykHk ij csprk gSA iwjs ysu nsu ij mldk

ykHk ;k gkfu izfr'kr Kkr dhft,A

29. The following table shows the cost of apples in the Supermarket. Draw

the graph to show this information.

Apples (in Kg) 2 3 5 7 9Cost (in `) 100 150 250 350 450

From the graph, answer the following questions

(a) What will be the cost of 6 Kg of apples?

(b) How many Kg of apples can be purhcased for ` 400?

fuEu rkfydk lqijcktkj esa lsc dh dher dks iznf'kZr djrk gSA bl lwpuk dks n'kkZus

ds fy, ,d vkys[k [khafp,A

lsc (izfr fdyks) 2 3 5 7 9

dher (:i;ksa esa) 100 150 250 350 450

vkys[k ls Kkr dhft, &

(a) 6 fdyks lsc dh dherA

(b) 400 :i;s esa fdrus fdyksxzke lsc [kjhnh tk ldrh gS\

Alternate question for visually challenged students in lieu of Q. No. 29.

ç'u la[;k 29 ds LFkku ij n`f"V ckfèkr fo|kfFkZ;ksa ds fy,

Simplify (ljy dhft,) % ( ) ( )2 22 2x y z x y z- - - + +

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30. The residents of a society decided to paint the walls of a hall of cancer

detection centre in their premises. The floor of the cubical hall has

a perimeter equal to 260 m and height 6 m.

(a) Find the cost of painting of its four walls (including doors etc.) at the

rate of ` 9 per m2.

(b) If 50 persons contributed in the cost of painting of the 4 walls then

what is the amount contributed by each person.

(c) Which value is depicted by the residents?

,d lkslkbVh us vius {ks=k esa dSalj tk¡p dsUnz ds gkWy dh nhokjksa dks isaV djkus dk

fu'p; fd;kA ;fn ?kukHkkdkj gky ds vkèkkj dk ifjeki 260 ehVj vkSj Å¡pkbZ 6

ehVj gks rks ---

(a) 9 :i;s izfr oxZ ehVj dh nj ls pkjksa nhokjksa (njoktksa lfgr) ij isaV djokus

dh yxkr Kkr dhft,A

(b) ;fn nhokjksa ij isaV djkus esa 50 O;fDr Hkkx ysrs gSa rks izR;sd O;fDr dk fgLlk

D;k gS\

(c) lkslkbVh ds fuokfl;ksa us fdl ewY; dks iznf'kZr fd;k\

31. The dimensions of a box are 22 cm × 11 cm × 3 cm. It is to be covered

with a brown paper. If each box requires 164 cm2 of more paper

for folding, how much paper is required to wrap 85 such boxes?

,d fMCcs dh foek,¡ 22ls-eh-×11lseh×3lseh gSA bls ,d Hkwjs jax ds dkxt ls <dk

x;k gSA ;fn izR;sd fMCcs esa dkxt ds eksM+ ds fy, 164 oxZ ehVj vf/d dkxt

yxrk gS rks 85 fMCcks dks <dus ds fy, fdrus dkxt dh vko';drk gS\

OR (vFkok)

An iron pipe 20 cm long has an external diameter equal to 25 cm. If the

thickness of the pipe is 1 cm, find the total surface area of the pipe.

,d 20 ls-eh- yEcs yksgs ds ikbZi dk ckgjh O;kl 25 ls-eh- gSA ;fn ikbZi dh eksVkbZ

1 ls-eh- gS rks ikbZi dk lEiw.kZ i`"Bh; {ks=kiQy Kkr dhft,A

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