15 Model Question Papers 12 Board Question Papers

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15 Model Question Papers12 Board Question PapersSalient Features Comprises a total of 27 Test Papers:(15 Model Question Papers 12 Board Question Papers) Provides 3 Model Question Papers with solutions and 2 Additional PracticeQuestion Papers without solutions for each subject for better preparation. Consists Board Question Papers of 2015 and 2016.Solutions with relevant marking scheme to Board Question papers availablein downloadable PDF format at www.targetpublications.org/tp10186Printed at: India Printing Works, Mumbai Target Publications Pvt. Ltd.No part of this book may be reproduced or transmitted in any form or by any means, C.D. ROM/Audio Video Cassettes or electronic, mechanicalincluding photocopying; recording or by any information storage and retrieval system without permission in writing from the Publisher.P.O. No. 3593410186 11090 JUP

Preface“SSC Question Paper Set” is a penultimate weapon, designed to facilitate thorough preparation forthe students appearing for the SSC Board Examination.The book includes 15 Model Questions Papers across three subjects – 3 Solved Question Papers and 2Practice Question Papers for each subject. These Question Papers are in tune with the changed syllabus andare prepared based on the latest paper pattern. Additionally, 12 Board Question Papers (2015 and 2016) havebeen included to gear up the students for the Examination. The Model Answer Papers offer complete answersfor every question with the relevant marking scheme to make sure the students encounter no scope for error.Solutions to Board Question Papers of 2015 and 2016 examinations are available in downloadablePDF format at our website www.targetpublications.org. The purpose behind this is to make students familiarwith the current question paper pattern and marking schemes. It also gives them a holistic understanding ofthe exact nature of the board question papers.As the old adage goes, “Practice makes a man Perfect”, students will find here, a goldmine ofQuestion Papers to practice, before they are up for their final battle. We are sure these Question Papers willprove to be extremely instrumental in achieving monumental scores in the Board Examinations.The journey to create a complete book is strewn with triumphs, failures and near misses. If you thinkwe’ve nearly missed something or want to applaud us for our triumphs, we’d love to hear from you.A book affects eternity; one can never tell where its influence stops.We wish the students all the best for their examinations.Yours faithfully,Publisher.

IndexSubjectMarking SchemeNo.1.2.3.No.SubjectAlgebraGeometryScience &TechnologyBoard QuestionPaper1.March 20152.July 20153.March 20164.July 2016Page No.Algebra/Geometry1Science3Test12345123451 (Section A)1 (Section B)2 (Section A)2 (Section B)3 (Section A)3 (Section B)4 (Section A)4 (Section B)5 (Section A)5 (Section B)SubjectAlgebraGeometryScience & TechnologyAlgebraGeometryScience & TechnologyAlgebraGeometryScience & TechnologyAlgebraGeometryScience & TechnologyPage No.Question PapersModel For Additional Practice101110119For Additional Practice129133137141144148For Additional PracticePage No.Question Papers464850535557616365697173Model AnswersSolutions in downloadablePDF format available atwww.targetpublications.org

Algebra/GeometryALGEBRA / GEOMETRY : MARKING SCHEMEMarking Scheme (for March 2014 exam and onwards)Written ExamAlgebra40 MarksTime: 2 hrs.Geometry40 MarksTime: 2 hrs.* Internal Assessment20 MarksTotal100 Marks* Internal AssessmentHome Assignment:10 Marks5-5 Home assignment for Algebra and Geometryof 10 marks each would be given. Marksobtained out of 100 would be converted to marksout of 10.Test of multiple choicequestion:10 MarksDepending upon the entire syllabus, internal testfor Algebra and Geometry with 20 marks eachwould be taken at the end of second semester.Marks obtained out of 40 would be converted tomarks out of 10.Total20 marksALGEBRA AND GEOMETRYMark Wise Distribution of QuestionsMarks05Marks with Option066 sub questions of 2 marks each: Attempt any 408125 sub questions of 3 marks each: Attempt any 309153 sub questions of 4 marks each: Attempt any 208123 sub questions of 5 marks each: Attempt any 2101540606 sub questions of 1 mark each:Attempt any 5Total:Weightage to Types of QuestionsSr.Type of QuestionsNo.1.Very short answer2.Short answer3.Long answerTotal:MarksPercentage of Marks062727601045451001

Marking SchemeWeightage to ndingApplicationSkillTotal:AlgebraPercentage marks15156010100GeometryPercentage marks15155020100Unit wise Distribution: AlgebraSr.No.1.2.3.4.5.6.UnitMarks with optionArithmetic ProgressionQuadratic equationsLinear equation in two variablesProbabilityStatistics – IStatistics – IITotal:12121210060860Unit wise Distribution: GeometrySr.No.1.2.3.4.5.6.UnitMarks with optionSimilarityCircleGeometric ConstructionsTrigonometryCo-ordinate GeometryMensurationTotal:2212101010081060

Science and TechnologySCIENCE & TECHNOLOGY : MARKING SCHEMEMarking Scheme (for March 2014 exam and onwards)Total Marks: 100Written examination: 80 MarksTwo separate question paper has to be solved on separate answer sheets.Paper I: 40 Marks: 2 hoursPaper II: 40 Marks: 2 hoursPractical examination: 20 Marks: 1 hour 30 minutesQuestion Paper pattern:QuestionsMarksMarks with optionQ. 1 A. Answer 5 questions. (1 mark question)55Q. 1 B. Answer 5 MCQs. (1 mark question)55Q. 2. Answer any 5 out of 6. (2 marks question)1012Q. 3. Answer any 5 out of 6. (3 marks question)1518Q. 4. Answer any 1 out of 2. (5 marks question)510Q. 1 A. Answer 5 questions. (1 mark question)55Q. 1 B. Answer 5 MCQs. (1 mark question)55Q. 2. Answer any 5 out of 6. (2 marks question)1012Q. 3. Answer any 5 out of 6. (3 marks question)1518Q. 4. Answer any 1 out of 2. (5 marks question)510Total80100Paper - I (Section A)Paper - II (Section B)3

Marking SchemeTypes of Questions for Paper I and Paper IIQ. 1 AFill in the blanks, Find odd man out, Find co-relation, Match the pairs, State true or false, Name,Write unit or molecular formulaQ. 1 BMultiple choice questions based on practicals.Q. 2Give reasons, Draw / correct diagrams, Write note, Write balanced chemical equation, Laws,Definitions, Solve examples, Distinguish, Complete the table, Write characteristics, Write uses.Q. 3Give two examples and explain any one, Write law / definition and explain with example, Writemerits-demerits, Explain.Q. 4Prove, Explain working with appropriate diagram, Long question, Explain with given points –principle, diagram, construction, working, use, Questions based on given paragraphAbout HOTS questionsHOTS questions means Higher Order Thinking Skill questions. Approx. 20% questions are HOTSquestions and are based on the syllabus. HOTS questions can be of 1 mark to 5 marks. In depth studyof textbook helps in answering HOTS questions.Chapter wise weightage:No.Chapter NameMarksMarks with option1School of elements452The magic of chemical reactions463The acid base chemistry454The electric spark575All about electromagnetism676Wonders of light (Part I)787Wonders of light (Part II)678Understanding metals and non-metals799Amazing world of carbon compounds5710Life’s internal secrets6711The regulators of life6712The life cycle6713Mapping our genes6814Striving for better environment (Part I)4515Striving for better environment (Part II)4544

AlgebraS.S.C. Preliminary Examination 1ALGEBRATime: 2 HoursTotal Marks: 40Note:i.All questions are compulsory.ii.Use of calculator is not allowed.Q.1. Attempt any five of the following sub-questions:i.If 12x 13y 29 and 13x 12y 21, then find x y.ii.Write Dy for the following simultaneous equation: 5x 2y 10 ; 3x y 11iii. Determine whether the given value of x is a root of given quadratic equation: 4x2 9 0,x iv.[5]32v.From the total expenditure, expenditure on education is 20%. Write the measure of the centralangle to show in pie diagram.Two coins are tossed. Write the sample space for the given experiment.vi.Write the following quadratic equation in standard form: x 6 5xQ.2. Attempt any four of the following sub-questions:i.Find the value of the following determinant:[8]3 6 4 25 3ii.iii.2Write the first four terms of the A. P. where a 10, d 3.Class5 1515 2525 3535 45Frequency7102013iv.Find the mean of given data by ‘Direct Method’.Find S10, if a 6 and d 3.v.Form a quadratic equation whose roots are 3 andvi.A card is drawn from a pack of well shuffled 52 playing cards. Find the probability that thecard drawn is a face card.5.2Q.3. Attempt any three of the following sub-questions:i.Two digit numbers are formed from the digits 2, 3, 5, 7, 9 without repetition. Find theprobability of gettinga.odd numberb.two digit number so formed is multiple of 7ii.Solve the following quadratic equation by formula method: 5m2 2m 2.iii. An obtuse angle of a rhombus is greater than twice the acute angle by 60 . Find the measureof each angle.iv.Find the three consecutive terms of an A.P. whose sum is 3 and the product of their cubes is512.[9]5

S.S.C. Question Paperv.The following table gives information about the monetary investment by some residents in acity.Mode of InvestmentSharesMutual fundsReal EstateGoldGovt. BondsPercentage of residents102035305Draw a pie diagram to represent the data.Q.4. Attempt any two of the following sub-questions:i.If you spin the spinner, find the probability that it will point at8 1a.odd number.72b.multiples of 3.63c.an even numbered white sector.5 4d.number less than 4.ii.The following table gives the result of certain examination for 180 students.a.Find value of x.b.Draw histogramMarksNo. of studentsiii.0 – 101010 – 20x20 – 302530 – 402x40 – 5055[8]50 – 6030Below is the given frequency distribution of Daily wages (in ) of 130 workers.Daily wages (in )No. of workers80 841085 892090 942595 9940100 10430105 1095Find the median daily wages of workers.Q.5. Attempt any two of the following sub-questions:i.A publisher printed a certain number of copies of a book. If he had printed 2000 copies more,each copy would have cost 5 less. If he had printed 1600 copies less, each copy would havecost him 10 more. Find the number of copies printed and the cost of each book.ii.If one root of the quadratic equation ax2 bx c 0 is the square of the other, show thatb3 a2c ac2 3abc.iii. A farmer borrows 1000 and agrees to repay with a total interest of 140 in 12 instalments,each instalment being less than the preceding instalment by 10. What should be his first andlast instalment?6[10]

S.S.C. Model Answer PaperS.S.C. Preliminary Examination 1ALGEBRAModel Answer PaperQ. 1. Attempt any five of the following sub-questions:i.Substituting equation 1st from equation 2nd ,13x 12y 2112x 13y 29( )( )( ) x y 8x y 8ii.Dy iii.By putting x [1]5 10[1]3 113in L.H.S., we get2L.H.S. 4x2 9 3 2 4 9 2 4 9 94 L.H.S. 0L.H.S. R.H.S. x iv.Central angle for expenditure on education 3is the root of the given quadratic equation.220 360 100 72 v.When two coins are tossed,S {HH, HT, TH, TT}[1][½][½][1]6 5xvi.x Multiplying both sides by x, we getx2 6 5xx2 5x 6 0[1]Q. 2. Attempt any four of the following sub-questions:i.3 6 4 25 32 (3 6 2) ( 4 2 5 3 )[1] 6 6 20 2 3 6 6 20 6 783 6 4 25 326 (6 20) 26 6 26 6[1]

Algebraii. Given, a 10, d –3t1 a 10t2 t1 d 10 3 7t3 t2 d 7 3 4t4 t3 d 4 3 1First four terms of A.P. are 10, 7, 4, 1.[½][½][½][½]iii.Class5 1515 2525 3535 45Total:Class mark(xi)10203040Frequency(fi)710201370200600520 fi 50 fi xi 1390fi xi[1] fi xi 1390 Mean x 27.8 fi Mean 27.8iv.Given, a 6 ,d 350[1]Sn n[2a (n 1)d]2[½] S10 10[2 6 (10 1)3]2[½] 5 (12 27) 5 (39)S10 195v.Let, 3 and then, 3 [1]525 1 225 15 22and 3 the required quadratic equation isx2 ( ) x 0 1 x2 x 0 2 2 i.e.,2x2 x 15 0vi. From a pack of 52 cards, a card is drawnn(S) 52Let A be the event that the card drawn is a face card.n(A) 12 n(A) 12 3P(A) n(S) 52 13 P(A) 313[½][½] 15 i.e., [½] .[Multiplying both sides by 2][½][½][½][1]79

S.S.C. Model Answer PaperQ. 3. Attempt any three of the following sub-questions:i.S {23, 25, 27, 29, 32, 35, 37, 39, 52, 53, 57, 59, 72, 73, 75, 79, 92, 93, 95, 97} n(S) 20a.Let A be the event of getting odd number A {23, 25, 27, 29, 35, 37, 39, 53, 57, 59, 73, 75, 79, 93, 95, 97} n(A) 16ii. P(A) n(A) 16 n(S) 20 P(A) 45b. Let B be the event that two digit number is a multiple of 7.B {35}n(B) 1 P(B) n(B) 1 n(S) 20 P(B) 120The given equation is 5m2 2m 2i.e., 5m2 2m 2 0Comparing it with am2 bm c 0, we geta 5, b 2, c 2iii. 80[1][1][½] b b 4ac2a[½] ( 2) ( 2)2 4 5 ( 2)2 5[½] 2 4410[½] 2 2 1110[½]m [1]m 2 2 1 11 101 115Let ABCD be a rhombus.Let m A x and m B y According to the given condition,y 2x 60 2x y 60 .(i)In rhombus, adjacent angles are supplementaryx y 180 .(ii)Adding equation (i) and (ii),C2x y 60 Dx y 180 3x 120 y x x 40 BASubstituting x 40 in equation (ii), we get40 y 180 y 140 The measures of angle A, B, C and D are 40 , 140 , 40 and 140 respectively.[½][1][1][1]

Algebraiv. Let the three consecutive terms of A.P. be a d, a, a dAccording to the first condition,a d a a d 3a 1 .(i)According to the second condition,(a d)3 (a)3 (a d)3 512(a d) (a) (a d) 8. [Taking cube root on both sides]22a (a d ) 8 .[From (i)]–1 [( 1)2 d2] 82–1 (1 – d ) 8 1 d2 8d2 9d 3When d 3 and a –1, the required terms are 4, 1, 2When d 3 and a –1, the required terms are 2, 1, 4[½][½][1][½][½]v.Mode of InvestmentPercentage of residentsShares1010 360 36 100Mutual funds2020 360 72 100Real Estate3535 360 126 100Gold3030 360 108 100Govt. Bonds55 360 18 100Total:100Measure of Central angle ( )[1½]360 The pie diagram representation is as follows:Mutual Funds72 Real Estate126 [1½]36 108 18 SharesGovt.BondsGold81

S.S.C. Model Answer PaperQ. 4. Attempt any two of the following sub-questions:82i.Since, the pointer can point at any numbers from 1 to 8. n(S) 8a.Let A be the event that the spinner points at odd number. A 1, 3, 5, 7 n(A) 4 P(A) 4 1n(A) 8 2n(S) P(A) 12b.Let B be the event that the spinner points at multiples of 3. B 3, 6 n(B) 2 P(B) 21n(B) 84n(S) P(B) 14c.Let C be the event that the spinner points at even numbered white sector. C n(C) 0 P(C) 0d.Let D be the event that the spinner points at a number less than 4. D 1, 2, 3 n(D) 3 P(D) 3n(D) 8n(S) P(D) 38[1][1][1][1]ii.Total number of students 180 10 x 25 2x 55 30 180 3x 120 180 3x 60 x 20[1]MarksNo. of students0 – 101010 202020 302530 404040 505550 – 6030

AlgebraScale:On X-axis: 1 cm 10 marksOn Y-axis: 1 cm 5 studentsY605550 No. of students 45403530252015105X X0Y 10203040 Marks 5060[3]iii.Original classClass boundariesFrequencyCum. frequency less than type80 – 8479.5 – 84.5101085 – 8984.5 89.5203090 – 9489.5 94.52555 c.f.95 – 99L 94.5 – 99.540 f95100 10499.5 104.530125105 109104.5 – 109.55130[1]Here, fi N 130 N 130 65 22[½]Cumulative frequency (less than type) which is just greater than (or equal) to 65 is 95. Median class is 94.5 99.5[½]83

S.S.C. Model Answer Paper Now, L 94.5, c.f. 55, h 5, f 40[½] N hMedian L - c. f. 2 f[½] 94.5 65 55 94.5 54010 540 94.5 1.25 95.75Median daily wages of workers is 95.75.[1]Q. 5. Attempt any two of the following sub-questions:i.Let the publisher printed x copies and cost of each copy be y. amount invested by publisher xyAccording to first condition,(x 2000) (y 5) xy xy 5x 2000y 10000 xy 5x 2000y 10000 .(i)According to second condition,(x 1600) (y 10) xy xy 10x 1600y 16000 xy 10x 1600y 16000 .(ii)Multiplying equation (i) by 2 and then adding with equation (ii), we get 10x 4000y 2000010x 1600y 16000[1][1][1]2400y 36000 ii. y 15Substituting value of y in equation (ii), we get10x 1600 15 16000x 4000Number of copies printed are 4000 and cost of each book is 15.[1]Let and be the two roots of the quadratic equation ax2 bx c 0According to the given conditon, 2[½] bNow, a b2 acAlso, ac . 2 ac 3 a[1][½]. (i)[½][½]. (ii)[½]Now, cubing equation (i), we get b a ( 2)3 843( )3 ( 2)3 3 ( 2)( 2) [½] b3a3 .[ (a b)3 a3 b3 3ab(a b)][½]

Algebra 3 ( 3)2 3 3( 2) c c c b b3 3 3aa a a a b3c2c3bc 2 2 3aaaa b3a32 iii.[1]The instalment are in A.P.Here, S12 1000 140 1140Also, n 12, d – 10[½][½][½]n[2a (n 1) d]2[½]12[2 a (12 1) ( 10)]2[½] S12 1140 6 [2a 110]190 2a 110a 150First instalment is 150Also, tn a (n 1) dt12 150 (12 1) ( 10) 150 110t12 40Last instalment is 40 [½]Multiplying both sides by a3,we getca2 c2a 3bc(a) b3b3 a2c ac2 3abcNow, Sn .[From (i) and (ii)][1][½][1]85

“SSC Question Paper Set” is a penultimate weapon, designed to facilitate thorough preparation for the students appearing for the SSC Board Examination. The book includes 15 Model Questions Papers across three subjects – 3 Solved Question Papers and 2 . Algebra/Geometry

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