Compiled by: Rahul Arora LL T Education Services ... by: Rahul Arora LL T Education Services...

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Compiled by: Rahul Arora LL T Educati Seices MATHEMATICS General Instructions: 1. All queson are compulsory. 2. e question paper consists of 30 questions divided into four section A, B, C, and D. Secon-A comprises of 6 quesons of 1 mark each; Secon-B compris s of 6 quesons of 2 marks each; Secon-C comprises of 10 question of Section-D comprises of 8 quesons of 4 marks each. 3. There is no overall choice in this question paper. 4. Use of calculators not permitted. 1. 2. 3. 4. .A 5. The diagonal of cube is cm. What is length of its edge. l, 6. A & B are the only two outcomes of an event. Probability of P(A)= 0. 72, then what will be the probabil ity P(B). SECTION-B 7. Give possible expression r the length and the breadth of the rectangle, whose area is LL T Education Seices .lltes.m +91 997 164 9026 enquiries@lltes.com

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Page 1: Compiled by: Rahul Arora LL T Education Services ... by: Rahul Arora LL T Education Services MATHEMATICS General Instructions: 1. All question are compulsory. 2. The question paper

Compiled by: Rahul Arora LL T Education Services

MATHEMATICS

General Instructions:

1. All question are compulsory.

2. The question paper consists of 30 questions divided into four section A, B, C, and D.

Section-A comprises of 6 questions of 1 mark each; Section-B compris. s of 6

questions of 2 marks each; Section-C comprises of 10 question of

Section-D comprises of 8 questions of 4 marks each.

3. There is no overall choice in this question paper.

4. Use of calculators not permitted.

1.

2.

3.

4.

.A

5. The diagonal of cube is JI2 cm. What is length of its edge.

l,

6. A & B are the only two outcomes of an event. Probability of P(A)= 0. 72, then what will be

the probability P(B).

SECTION-B

7. Give possible expression for the length and the breadth of the rectangle, whose area is

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6x2+x-12.

8. IfAB|DE, & ,find & .

9. Inthegivenfigure, and .ShowthatAD<BC.

10. IftwoadjacentanglesofaparallelogramPQRSare(10y–9)o&(8y+45°),Findallthefour

anglesofparallelogram.

11. Thelongestsideofarightangledtriangleis125mandoneoftheremainingtwosidedis

100m.FinditsareausingHeron sformula.

12. Thenumbers2,3,4,4,3x-1,3x+1,7,7,8arewritteninascendingorder.Ifthemedianis5,

findx.

SECTION-C

13. Findthevaluesofaandb,if

14. Factorise:(2x-y-z)3+(2y-z-x)3+(2z-x-y)3

15. Findthreedifferentsolutionsof3m-8n=27.

16. PlottwopointsP(0,-4)&Q(0.4)onthegraphpaper.NowplotR&Ssuchthat &

areisoscellestriangles.

17. ABCDisarhombuswithonediagonalequalto18cm.&lengthofeachsideequalto15

cm. Findthelengthoftheotherdiagonalandareaofrhombus.

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18. Inthefigure,APandBParethebisectorsoftwoadjacentanglesAandBofquadrilateral

ABCD.Provethat .

19. Constructatrianglewhoseperimeteris15cmanditstwobaseanglesare90°and30°.

20. AConicaltentis16mhighandthediameterofitsbaseis24m.FindthecostofCanvas

requiredtomakethetent,ifcostof1m2CanvasisRs210.

21. AHemisphericaltankfullofwateristobeemptiedbyapipeattherateof3litersper

minutes.Howlongwillitstaketoemptythetank,ifthediameterofthetankis

22. Themarksof80students(outof80)inEnglishspeakingskillswasrecordedasfollows:

Marks 0-20 21-39 40-60 61-80

No.ofstudents 18 19 23 20

Ifthepassingmarksare50%thenfindtheprobabilitythatthestudentchosenatrandom:

i. Gotthepassingmark.

ii. Failedtogetthepassingmarks.

iii. Gotbelow21marks.

SECTION-D

23. Represent onthenumberline.

24. x+2isafactorofpolynomialax3+bx2+x-2andtheremainder4isobtainedby

dividingthispolynomialbyx-2.Findthevalueofaandb.

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25. Solveforx:

26. Iftwoparallellinesareintersectedbyatransversalprovethatthebisectorsofthe

interioranglesonthesamesideoftransversalintersecteachotheratrightangles.

27. InasquarePQRS,diagonalsPRandQSintersectatO.Showthat

.

28. InthegivenfigureOisthecentreofthecircleofradius5cm, ,AB||CD,AB=

6cmandCD=8cm,DeterminePQ.

29. Arighttrianglehavingsides6cm,8cmand10misrevolvedaboutthesideoflength6cm.

Findthevolumeofsolidsoformed.

30. Ifthe26EnglishalphabetsaretakensuchthatA=1,B=2,C=3,....Z=26thenfind

i. Themean&medianofthenumberscorrespondingtothevowels.

ii. Whichalphabetcorrespondstothemedian.

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ANSWERS

1. 2017.0101001.......,2017.020020002.......(otheranswersarealsopossible)

2. -1

3. y-axis

4. 47

5. 2cm

6. 0.28

7. (2x+3,(3x-4)

8.

9. NA

10. 71o,119o,71o,119o

11. 3750m2

12. 2

13.

14. 3(2x-y-z)(2y-z-x)(2z-x-y)

15. Any3correctionsolutions

16. NA

17. AC=24cm,Area=216cm2

18.

19.

20. 158400

21. 7.8hours(approx)

22. i. ii. iii.

23.

24. a=0,b=2

25. x=4

26.

27.

28. 1cm

29.

30. i. Mean=9.8,Median=9

ii. I

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