Prepared by: M. S. KumarSwamy, TGT(Maths) Page - A - MATHEMATICS OPEN TEXT BASED ASSESSMENT QUESTION BANK forSummative Assessment -II CLASS IX 2014 15 CBSE OPEN TEXT MATERIAL AND CBSE SAMPLE QUESTIONS INCLUDING SOME PROBABLE QUESTIONS THEME WISE Prepared by M. S. KUMARSWAMY,TGT(MATHS) M. Sc. Gold Medallist (Elect.), B. Ed. Ken dr iya Vidyal aya GaCHiBOWl i Prepared by: M. S. KumarSwamy, TGT(Maths) Page - B - PREFACE ItgivesmegreatpleasureinpresentingtheQuestionBankforOpenTextBased Assessment(OTBA)forClassIXMathematicsforSummativeAssessment(SA) -II.Itisin strictly according to the latest guidelines issued by CBSE (Circular No. Acad-45/2014, dated 21 November, 2014) for OTBA to be held with SA-II in March 2015. TheCBSEhasshortlistedtextmaterialforclassIXinthesubjectareasofEnglish, Hindi, Mathematics Science and Social Science. This short listed text is in the form of an article, acasestudy,apictureoracartoonoraproblem/situation.Thequestionpaperineachmain subject will have a separate section of 10 marks for Open Text Based Assessment (OTBA). The OTBAaimstostrengthenstudentsanalyticalandtheoreticalskillsbymovingawayfromthe trend of rote learning. Iavailthisopportunitytoconveymy sincere thanks to respected sir, Shri S. Vijay Kumar,Director,KVSZIETGwalior,respectedmadamSmt.R.Kalavathi,Deputy Commissioner,KVSROHyderabad,respectedsirShriIsampal,DeputyCommissioner,KVS RO Bhopal, respected sir Shri P. V. Sairanga Rao, Deputy Commissioner, KVS RO Varanasi, respectedsir Shri P. Deva Kumar, Deputy Commissioner, KVS RO Ahmedabad, respected sirShri Sirimala Sambanna, Assistant Commissioner, KVS RO Hyderabad, respected sir Shri. K. L. Nagaraju,AssistantCommissioner,KVSROBangalore,respectedsirShri.Gangadharaiah, AssistantCommissioner,KVSROBangaloreand respected Shri M.K. Kulshreshtha, Assistant Commissioner,KVSROChandigarhfortheirblessings,motivationandencouragementin bringing out this notes in such an excellent form.IalsoextendmyspecialthankstorespectedsirShri.P.S.Raju,Principal,KV Gachibowli,respectedSmt.NirmalaKumariM,Principal,KVMysore&respectedShri.M. Vishwanatham, Principal, KV Raichur for their kind suggestions and motivation while preparing this Question Bank. IwouldliketoplaceonrecordmythankstorespectedsirShri.P.K.Chandran, Principal,presentlyworkinginKVBambolim.IhavestartedmycareerinKVSunderhis guidance, suggestions and motivation. Inspiteofmybesteffortstomakethisnoteserrorfree,someerrorsmighthave gone unnoticed. I shall be grateful to the students and teacher if the same are brought to my notice. Youmaysendyourvaluablesuggestions,feedbackorqueriesthroughemailto kumarsir34@gmail.comthat would be verified by me and the corrections would be incorporated in the next year Question Bank. M. S. KUMARSWAMY Prepared by: M. S. KumarSwamy, TGT(Maths) Page - C - DEDICATED TO MY FATHER LATE SHRI. M. S. MALLAYYA Prepared by: M. S. KumarSwamy, TGT(Maths) Page - 1 - THEME 1 : ATITHIDEVO BHAVAH OPEN TEXT MATERIAL ABSTRACT: AtithidevoBhavahisaverseinSanskrit.Itmeanstoconsidertheguestasgod.This statementisdrawnfromanancientscripturewhichhasbeentheethosofIndian culture. Recently, this verse has found its place in the tagline of Ministry of Tourism in ordertoimprovethetreatmentoftheforeigntouristsvisitingthecountryduetothe popularitythecountry has gained in the recent times as a popular and favorite tourist destination. TheconceptofAtithidevobhavisdeeprootedinourIndiancultureandiscarried forward with same spirit as it used to in ancient times. The text gives an insight into the number of foreign tourists arrivals in India during different seasons which is supported with data. The concept also gets reinforced when the statistics show that tourists of all age groups from across the globe love to visit India. Indiaisabeautifulcountryrichindiversity.ThemajesticHimalayas,thesparkling ocean, the dry desert, the dancing river, the enticing lagoons or the magical back waters, all appeal to nature lovers. People come from far off countries to a new beautiful vision ofgloryofnature.Itsrichhistory,culturalandgeographicaldiversitymakesitan international tourism attraction. There are many places which attract the interest of the tourists in India. Many foreign tourists from different parts of the world come to explore the natural and the heritage beauty of this Nation. Tourists come for different purposes suchasweddings,shopping,tourism,business, education, adventure, family reunions, etc. SEASONALITY IN FOREIGN TOURIST ARRIVALS IN INDIA India experiences three major seasons -Winter,SummerandMonsoon.In 2011 over six lakh tourists had visited varioustouristdestinationssuchas Agra,Jaipur,Udaipur,Kashmir valley,Goa,Mysoreand Thiruvanantha-puraminthewinter season. In2012,theminimumnumberof foreigntouristsvisitedIndiaduring themonthofMayandmaximum during the months of December. Prepared by: M. S. KumarSwamy, TGT(Maths) Page - 2 - ThefollowinggraphclearlyshowsthatthehighestFTAsinIndiawereinOctober December and January-March during 2012. India is ranked as the 38th country in the world in terms of foreign tourist arrivals. The mostrepresentedcountriesaretheUnitedKingdomandtheUnitedStates.In2012 Maharashtra, Tamil Nadu and Delhi were the most popular states for foreign tourists. Domestic tourists visited the states of Uttar Pradesh, Andhra Pradesh and Tamil Nadu most frequently. Delhi,Mumbai,ChennaiandAgrahavebeenthefourmostvisitedcitiesofIndiaby foreign tourists during the year 2012. Worldwide, Chennai is ranked 41 by the number of foreign tourists, while Delhi is ranked at 50, Mumbai at 57, Agra at 65 and Kolkata at 99. Prepared by: M. S. KumarSwamy, TGT(Maths) Page - 3 - Prepared by: M. S. KumarSwamy, TGT(Maths) Page - 4 - FOREIGN TOURISTS ARRIVALS (FTAS) IN INDIA It can be observed clearly that the FTAs in India have been increasing from all regions duringtheyear2012.ThegrowthwasmaximumfromEasternEuropefollowedby Africa, East Asia, Australia, Central and South America. Table-2:NumberofFTAsfromdifferentregionsoftheworld(inlakhs approximately) Region/CountryEastern Europe AfricaEast AsiaAustraliaCentral and South America 2011272347236 2012312653247 MODES OF TRAVEL OF FOREIGN TOURISTS ARRIVALS (FTAS) IN INDIA Travel by air has been found to be the most preferred mode of transport. In 2012, out ofthe6.58millionforeigntouristarrivalsinIndia,majorityarrivedbyair(92%), followedbyland(7%)andsea(1%).Arrivalsthroughlandroutescomprisedtourists mainly from Bangladesh and Pakistan. Figure-2: Arrival of Foreign Tourists in India. AirtravelhasbeenthemostpreferredmodeoftravelfortheFTAsovertheyears, accounting for above 80% share in each year during this period. During last three years from2010onwards,thepercentageofFTAstravellingtoIndiabyairhasremained morethan90%.Theshareofarrivalsthroughlandcheck-posthasbeenabove10% during2001to2008;however,ithasbeengraduallydecliningoverthelast3years. Arrivals through sea routes remain less than 1% from 1996 to 2012. Prepared by: M. S. KumarSwamy, TGT(Maths) Page - 5 - AGE DISTRIBUTION OF FTAS IN INDIA Table-3:ThepercentagedistributionofFTAsinIndiaaccordingtoagegroups during 1996- 2012: Age-group (in years) 0 1515 2525 3535 4545 5555 65 65 & above % Distribution by Age group (in years) 1181621201410 During the year 2012, sex-wise distribution of the FTAs comprises of 58.7% males and 41.3% females. Thegovernment'sproposaltoinfuseoverRs1,000croreindevelopingIndiaasan attractive tourism destination is being seen as a window to draw more foreign tourists and foreign exchange, besides enhancing air connectivity and development of heritage sites within the country. Now one can easily guess why Max Mueller has said these lines about India- "If we were to look over the whole world to find out the country most richly endowed withallthewealth,powerandbeautythatnaturecanbestowinsomeparts,avery paradise on earth, I should point to India." Such is our India. It is undoubtedly a paradise for the tourists. SOME PROBABLE QUESTIONS 1.PrepareahistogramonthepercentagedistributionofForeignTouristsArrivalin India according to age groups during 1996 2012 for class size 10 (using Table 3). (3 marks) 2.On the basis of the given bar graph on month wise percentage share of FTAs in India, answer the following: (3 marks) (a) Which season has the maximum number of FTAs in India? (b)WhichmonthhastheminimumnumberofFTAsinIndia? What according to you could be the reason for less visitors in this particular month? (c) Find the mean percentage of foreign visitors in the months April to September? 3.On the basis of the given bar graph on month wise percentage share of FTAs in India, answer the following: (3 marks) (a) Which season has the minimum number of FTAs in India? (b) Which month has the maximum number of FTAs in India? What according to you could be the reason for more visitors in this particular month? (c) Find the mean percentage of foreign visitors in the months January to June? 4.GovernmentproposestosanctionRs.1000croresfordevelopmentoftourism industryinIndia.Whichfiveareascouldbetakenintoconsiderationand in what percentages? Justify the distribution and represent through a bar graph. (4 marks) Prepared by: M. S. KumarSwamy, TGT(Maths) Page - 6 - 5.Find the median of month-wise percentage share of FTAs in India, 2012. 6.Find the mean of month-wise percentage share of FTAs in India, 2012. 7.Find the mean of percentage change of FTAs over previous year from 2000 to 2008. 8.Prepare a pie chart to represent the data given in Table 2 for year 2011. 9.Prepare a pie chart to represent the data given in Table 2 for year 2012. 10. Find the median of percentage change of foreign exchange earnings (Millions US$) over previous year 2000 to 2011. 11. Findthemedianofpercentagechangeofforeignexchangeearnings(Rs.Crore) over previous year 2000 to 2011. 12. FindthemedianofpercentagechangeofFTAsoverpreviousyearfrom2000to 2011. 13. Findthemeanofpercentagechangeofforeignexchange earnings (Millions US$) over previous year 2000 to 2011. 14. Find the mean of percentage change of foreign exchange earnings (Rs. Crore) over previous year 2000 to 2011. 15. Find the mean of percentage change of FTAs over previous year from 2000 to 2011. 16. FindthemeannumberofFTAsfromdifferentregionsoftheworldfortheyear 2011. 17. FindthemeannumberofFTAsfromdifferentregionsoftheworldfortheyear 2012. 18. Prepare the frequency distribution table for the modes of Travel of FTAs in India using Figure 2. Which is the most preferred mode of travel and which is the least preferred mode of travel? 19. Prepare the frequency distribution table for the modes of Travel of FTAs in India using Figure 1. Which is the most preferred month and which is the least preferred month? 20. Which states of India are the most popular states for foreign tourists in 2012? Which four most visited of India by foreign tourists during the year 2012? 21. WhatistherankofChennai,Delhi,Mumbai,AgraandKolkataintheworldin terms of foreign tourist arrivals? 22. What is the rank of India in the world in terms of foreign tourist arrivals? 23. IfFTAisselectedatrandomfromtheTable2.fortheyear2011,findthe probability that the Foreign Tourist selected at random arrived from(i) Eastern Europe Prepared by: M. S. KumarSwamy, TGT(Maths) Page - 7 - (ii) Africa (iii) East Asia(iv) Australia (v) Central and South America (vi) neither from Africa not from Australia (vii) neither from East Asia nor from Eastern Europe. 24. The table 3 shows the percentage distribution of FTAs in India according to the age-groups during 1996-2012. One of the foreign tourist is selected at random. Find the probability that his/her age is (i) less than 15 years (ii) 15 years or more but less than 25 years. (iii) 25 years or more but less than 35 years. (iv) 35 years or more but less than 45 years. (v) 45 years or more. (vi) 45 years or more but less than 55 years. (vii) 55 years or more but less than 65 years. (viii) 15 years or more but less than 45 years. (ix) 25 years or more but less than 65 years. (x) 45 years or more but less than 65 years. (xi) 15 years or more. (xii) 25 years or more. 25. A Foreign Tourist is selected at random (see Figure 2.). Find the probability that the Foreign Tourist selected at random arrived in India through the modes of travel by (i) Land (ii) Sea (iii) Air 26. IfFTAisselectedatrandomfromtheTable2.fortheyear2012,findthe probability that the Foreign Tourist selected at random arrived from(i) Eastern Europe (ii) Africa (iii) East Asia(iv) Australia (v) Central and South America (vi) neither from Africa not from Australia (vii) neither from East Asia nor from Eastern Europe. 27. Draw a double bar graph for number of FTAs from different regions of the world for the years 2011 and 2012 using Table 2. Prepared by: M. S. KumarSwamy, TGT(Maths) Page - 8 - 28. PrepareapiechartonthepercentagedistributionofForeignTouristsArrivalin India according to age groups during 1996 2012 (using Table 3). Which age-group is the most common and which age-group is rarer? 29. What message have you got from the verse Atithidevo Bhavah? 30. Is Atithidevo Bhavah an appropriate slogan for the tourism industry? 31. According to you, what measures India should take in order to improve its world ranking in terms of foreign tourist arrival? 32. Do you like Aamir Khans Atithidevo Bhavah advertisement? Why? 33. Whatisthemainaimofthegovernmentinthenationwidecampaigningof Atithidevo Bhavah? 34. DoestheSwachhBharatcampaignofourgovernmenthelptopromoteforeign tourism? How? 35. AForeignTouristisselectedatrandom.FindtheprobabilitythattheForeign Tourist selected at random arrived in India is (i) male (ii) female Prepared by: M. S. KumarSwamy, TGT(Maths) Page - 9 - THEME 2 : EMPOWER TO LEARN OPEN TEXT MATERIAL ABSTRACT : Harshit heard of the social networking sites and started exploring them on the internet. Tohissurprisehecameacrossvariouseducationalaswellassocialnetworkingsites thatgiveinnovativeandimprovedwaysoflearning.Hegraduallygotpronetothe facilitiestheseplatformsofferwhichbroadenedhisperspectives.Herealisedthatthis advancementinsocialnetworkingplatformisprovidinghimwithmuchbetteroptions toengagewithhiscontemporaries,enhancehisskillsandaccessawidevarietyof academic tools and resources which most definitely add up to his convenience. HarshitlearntaboutLEARNOUT,afreesociallearningnetworkforuniversityand school students. It offers a platform for its users where they can engage in activities like sharingstudyrelatedmaterials,counsellingorsimplyconnectingthroughavast network of existing users from around the world. Within a small time span of two years, morethan80,00,000studentsregisteredforthewebsiteandtheyuse the website on dailybasis.Thedistributionofthestudentsindifferentagegroupswasgraphically presentedandhegotinspiredashethoughttohimselfthatmaximumnumberof children of his age is gaining from this site. Figure1:Histogramshowingthenumberofstudentsusinglearnoutindifferent age groups Thewebsiteoffersusergeneratedcontentsin7differentlanguagesincludingItalian, English,Spanish,Polish,Russian,SerbianandPortuguese.Thewebsiteisdirectly operated from its respective regional head offices thereby providing a direct approach to theusers.LEARNOUTalsohasitsfreeapplicationavailableforallandroiddevices. Thewebsitealsohasadedicated24/7supportteamtoassistthestudentsintheir matters. He surveyed a number of people and recorded his findings on the percentage of users using this site in different languages: Prepared by: M. S. KumarSwamy, TGT(Maths) Page - 10 - Table 1: The percentage of users in different languages of LEARNOUT is given in the table below: LanguageItalianEnglishSpanishPolishRussianSerbianPortuguese Percentage of users 1157641093 He also discovered a site named TWOWAY which provides its students with a different approach towards studies. It offers an interactive way of studying where students get to create and animate flashcards. The website currently has about 1 million study content authored by the students. The website also conducts different quizzical campaigns for thestudentsandtrackstheprogressofitsusers.Theissues on which the campaigns were conducted are presented in the form of pie chart. Harshit also got a platform to spread awareness of the issues which he has to record in his project work given by his teacher. He could collect the data globally and interpret it from different perspectives. Figure 2: The pie chart shows the campaigns conducted on TWOWAY in different subjects. Mathematics was troubling himand he needed a special assistance in various concepts. He received many resource materials to gain more knowledge and achieved higher level oflearning.ThesitenamedTROUBLEBUBBLEwastheanswertohisqueries. TROUBLE BUBBLE offers a very interactive way to the students looking for answers to the distressing questions. They can ask questions directly from the academic experts through their vast network. The following data shows the number of questions asked by students between 2:00pm to 9:00pm. Prepared by: M. S. KumarSwamy, TGT(Maths) Page - 11 - Table 2: The table below shows the average number of questions asked at different hours of the day on TROUBLE BUBBLE. Time 2 to3pm 3 to4pm 4 to5pm 5 to6pm 6 to7pm 7 to8pm 8 to9pm Number of questions180270360440520300190 Harshitwaspleasedtoknowthat he has the facility to get immediate answers to his queries through this site. SUPERB, another educational networking site, offers its users with a unique way to have interaction. It builds a strong connection between students and renowned teachers from around the world. SUPERBoffersanumberoffreetoolsandservicestotheteachers,whichliterally transforms the way of teaching and helps in the provision of superior quality of services toitsusers.Thewebsiteissuitableforstudentsofallages,whetherbea student of middleschooloranundergraduate,SUPERBhasstoredalotmoreforitsusersto achieve their educational goals. TheadvancementsintechnologyprovedtobebeneficialforHarshit.Withsocial networkingplatformsadvancing,theyareplayingtheirroletofacilitatethestudents with their needs and benefit them to achieve their goals. The given frequency polygon displayed maximum benefit taken by the students from this site. It was an eye opener forHarshitashewanted extended learning in all the subjects. Being a smart boy, he always used to check data before taking any decision. Figure 3: Frequency Polygon showing the percentage of campaigns conducted in different subjects Harshit was empowered by these educational networking sites as they transformed him into a global citizen. He received input from across the world from different teachers who had shared the best of the ways to share their learning through innovative ideas of Prepared by: M. S. KumarSwamy, TGT(Maths) Page - 12 - constructingknowledgewithhestudentsaccessingtheirsites.Thus,technology supported Harshit to make the best use of time and energy to equip him to learn at his own pace but with global input in his learning process. SOME PROBABLE QUESTIONS 1.Justifygivingexamples,whyHarshitisasmartboyinusingtechnologyfor learning. (3 marks) 2.Prepare a pie chart to represent the data given in table 1.(3 marks) 3.Represent the frequency polygon as a histogram for figure 3.(4 marks) 4.Draw a frequency polygon for number of students (in millions) using Figure 1. 5.Draw a bar graph for the data represented in Table 1. 6.Draw a histogram to represent the data given in Table 2. 7.Draw a pie chart to represent the data given in Figure 3. 8.PreparefrequencydistributiontablefromFigure3which isaFrequencyPolygon showing the percentage of campaigns conducted in different subjects. Which subject showmaximumpercentageofstudentsbenefitedandwhichsubjectshowleastpercentage of students benefited. 9.Find the mean percentage of campaigns conducted in different subjects from Figure 3. 10. Findthemedianpercentageofcampaignsconductedindifferentsubjectsfrom Figure 3. 11. Find the mean of average number of questions asked per hour from 3pm to 9 pm on TROUBLE BUBBLE. 12. Find the mean of average number of questions asked per hour from 2pm to 8 pm on TROUBLE BUBBLE. 13. Find the median of average number of questions asked per hour from 3pm to 9 pm on TROUBLE BUBBLE. 14. Find the median of average number of questions asked per hour from 2pm to 8 pm on TROUBLE BUBBLE. 15. What message have you got from the theme Empower to Learn? 16. If you could give one educational tool to every child in the world, what would it be? Why? 17. What specific strategy we should follow in order to empower a student? 18. For a student, what is the optimal usage of a solution manual? Prepared by: M. S. KumarSwamy, TGT(Maths) Page - 13 - 19. What does empowerment mean to us? 20. Harshit heard about social networking websites and started to explore them on the Internet.Hecameacrossvariouseducationalsocialnetworkingsites.Howmany such sites did he work upon? Name and describe them. 21. FindthemeanpercentageofusersindifferentlanguagesofLEARNOUTfrom Table 1. 22. FindthemedianpercentageofusersindifferentlanguagesofLEARNOUTfrom Table 1. 23. The table 2 shows the average number of questions asked at different hours of the day on TROUBLE BUBBLE. A question is selected at random. Find the probability that the questions selected at random is asked at (i) 2 to 3pm (ii) 3 to 4pm (iii) 4 to 5pm (iv) 5 to 6pm (v) 6 to 7pm(vi) 7 to 8 pm (vii) 8 to 9pm (viii) 2 to 4pm(ix) 3 to 7pm (x) 4 to 9pm (xi) 5 to 9pm (xii) 6 to 9pm (xiii) 7 to 9pm(xiv) 2 to 7pm (xv)3 to 8pm 24. A user is selected at random from LEARNOUT. Find the probability that the user selected at random is from language (i) Italian (ii) English (iii) Spanish (iv) Polish (v) Russian(vi) Serbian (vii) Portuguese(viii) not English (ix)not Spanish (x) not Russian (xi) neither English nor Serbian (xii) neither Polish nor Portuguese (xiii) neither Italian nor English (xiv) neither Spanish nor Serbian (xv) neither Russian nor Italian 25. Draw a bar graph to represent the data given in Figure 3. Prepared by: M. S. KumarSwamy, TGT(Maths) Page - 14 - 26. Figure2piechartshowsthecampaignsconductedonTWOWAYindifferent subjects. One subject is selected at random. Find the probability that the subject is Environmental issue. 27. Explain how the site named TROUBLE BUBBLE is helpful to the students. 28. Explain how the site named TWOWAY is helpful to the students. 29. Explain how the site named SUPERB is helpful to the students. 30. Figure 1 Histogram showing the number of students using learnout in different age groups. A student is selected at random. Find the probability that the age group of student selected at random is(i) 5 to 8 (ii) 8 to 11 (iii) 11 to 14 (iv) 14 to 17 (v) 17 to 20 (vi) 20 to 23 (vii) 23 to 26 (viii) 5 to 20 (ix) 8 to 23 (x) 11 to 26 (xi) 14 to 26 (xii) 17 to 26 (xiii) 20 to 26 (xiv) 8 to 26 (xv) 5 to 26