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Additional questions test universal set size, complements, unions, intersections, and conditional statements about set relationships.",{"@graph":14,"@context":73},[15,34,56],{"@type":16,"itemListElement":17},"BreadcrumbList",[18,23,27,31],{"item":19,"name":20,"@type":21,"position":22},"https://docshare.wps.com","Home","ListItem",1,{"item":24,"name":25,"@type":21,"position":26},"https://docshare.wps.com/document/","Document",2,{"item":28,"name":29,"@type":21,"position":30},"https://docshare.wps.com/document/exam/","Exam",3,{"item":32,"name":10,"@type":21,"position":33},"https://docshare.wps.com/document/math-30-2-set-theory-lesson-2-practice-questions/473289/",4,{"url":32,"name":10,"@type":35,"image":36,"author":41,"headline":10,"publisher":44,"fileFormat":47,"inLanguage":8,"description":12,"dateModified":48,"datePublished":49,"encodingFormat":47,"isAccessibleForFree":50,"interactionStatistic":51},"DigitalDocument",{"url":37,"@type":38,"width":39,"height":40},"https://docshare.wps.com/thumbnails/math-30-2-set-theory-lesson-2-practice-questions/473289.png","ImageObject",300,407,{"name":42,"@type":43},"Theodore","Person",{"url":19,"name":45,"@type":46},"DocShare","Organization","application/pdf","2026-10-08","2026-09-30",true,{"@type":52,"interactionType":53,"userInteractionCount":55},"InteractionCounter",{"@type":54},"ViewAction",5,{"@type":57,"mainEntity":58},"FAQPage",[59,65,69],{"name":60,"@type":61,"acceptedAnswer":62},"How do you find students who participate only in one sport from the given high school data?","Question",{"text":63,"@type":64},"Use a Venn diagram: determine the overlap first, then compute only-in-track and only-in-badminton regions. Add the two only regions to get the total who participate in exactly one sport.","Answer",{"name":66,"@type":61,"acceptedAnswer":67},"How do you calculate the number of students who own a pet in the grade 7 pet-and-sibling problem?",{"text":68,"@type":64},"Find the region neither-owns-pet-nor-has-a-sibling, determine the only-pet region, then add it to the overlap region where both conditions occur.",{"name":70,"@type":61,"acceptedAnswer":71},"In the Coke and Pepsi preference questions, how do you obtain the number who drink only Pepsi?",{"text":72,"@type":64},"Compute the universal set size from the union and its complement, then subtract the counts for only Coke, intersection, and complement components from the universal total.","https://schema.org",{"og:url":32,"og:type":75,"og:title":10,"og:site_name":45,"og:description":12},"article",{"robots":77,"canonical":32},"index,follow",{"doc_id":79,"site_id":7},473289,1790833778,{"code":4,"msg":82,"data":83},"success",[84,88,92,95,99,104,109,114,119,122,126],{"id":22,"doc_module":4,"doc_module_name":25,"category_name":85,"show_sort_weight":86,"slug":87},"Story & Novel",90,"story-novel",{"id":26,"doc_module":4,"doc_module_name":25,"category_name":89,"show_sort_weight":90,"slug":91},"Literature",80,"literature",{"id":33,"doc_module":4,"doc_module_name":25,"category_name":29,"show_sort_weight":93,"slug":94},70,"exam",{"id":55,"doc_module":4,"doc_module_name":25,"category_name":96,"show_sort_weight":97,"slug":98},"Comic",60,"comic",{"id":100,"doc_module":4,"doc_module_name":25,"category_name":101,"show_sort_weight":102,"slug":103},6,"Technology",50,"technology",{"id":105,"doc_module":4,"doc_module_name":25,"category_name":106,"show_sort_weight":107,"slug":108},7,"Healthcare",40,"healthcare",{"id":110,"doc_module":4,"doc_module_name":25,"category_name":111,"show_sort_weight":112,"slug":113},8,"Research & Report",30,"research-report",{"id":115,"doc_module":4,"doc_module_name":25,"category_name":116,"show_sort_weight":117,"slug":118},9,"Religion & Spirituality",20,"religion-spirituality",{"id":117,"doc_module":4,"doc_module_name":25,"category_name":120,"show_sort_weight":117,"slug":121},"World Cup","world-cup",{"id":123,"doc_module":4,"doc_module_name":25,"category_name":124,"show_sort_weight":123,"slug":125},10,"Lifestyle","lifestyle",{"id":127,"doc_module":4,"doc_module_name":25,"category_name":128,"show_sort_weight":55,"slug":129},19,"General","general",{"code":4,"msg":82,"data":131},{"doc_id":79,"user_id":132,"nickname":42,"user_avatar":133,"doc_module":4,"category_id":33,"category_name":29,"doc_title":10,"doc_description":12,"doc_content":134,"file_id":135,"file_url":136,"file_type":137,"file_size":138,"view_count":55,"is_deleted":4,"is_public":22,"is_downloadable":22,"audit_status":22,"page_count":139,"language":140,"language_code":8,"site_id":7,"html_lang":8,"table_of_contents":141,"faqs":142,"seo_title":143,"seo_description":12,"update_tm":144,"read_time":112},7971461740886,"https://ap-avatar.wpscdn.com/davatar_3d24733baf745e90a7e4bdd5f77d97b2","Math 30-2 Set Theory Lesson 2 Practice Questions  \n[Solutions at the end]  \nUse the following information to answer the next 2 questions.  \nIn a Western Canadian High School, there are 82 grade 12 students. Of these students, 29 participate in badminton and 27 participate in track and field. There are 38 students who participate in neither sport.  \n1. Determine the number of students who participate only in track and field.  \n2. Determine the number of students who participate in only one of these two sports.  \nUse the following information to answer the next question.  \nA group of 104 grade 7 students were asked two questions:  \n􀁸 Did their family own a pet?  \n􀁸 Did they have a younger sibling?  \nThere were twice as many students who only own a pet as compared to the number of students who neither own a pet nor have a younger sibling.  \nThere were 17 students who owned a pet and have a younger sibling.  \nThere were 24 students who only have a younger sibling.  \n3. The number of students who own a pet is  \nA) 48 B) 52 C) 59 D) 65  \nUse the following information to answer the next question.  \nTwo Math 30-2 students spent the afternoon at the local rink collecting data about Coke and Pepsi drinking preferences.  \nLet C = {number of people who drink Coke}  \nLet P = {number of people who drink Pepsi}  \nTheir results indicated that:  \n􀁸 C 􀀔 P = 16  \n􀁸 C 􀀛 P = 64  \n􀁸 (C 􀀛 P)’ = 11  \n􀁸 There were 20 people who only drink Coke.  \n4. The number of people in the Universal set, and the number of people who only drink Pepsi is  \nA) 91 and 22 B) 91 and 28 C) 75 and 22 D) 75 and 28  \nUse the following information to answer the next question.  \nThe 47 staff at a particular school were asked if they had a Netflix account, a Prime Video account, both, or neither. The results indicated that:  \n􀁸 There were twice as many people who had a Netflix account only compared to those who had both accounts.  \n􀁸 There were 5 more people who had a Prime Video account only compared to those who had both accounts.  \n􀁸 There were 10 people who had neither account.  \n5. How many people had either a Netflix account only or a Prime Video account only?  \nUse the following information to answer the next two questions.  \n\n| A Junior High school is trying to promote a fine arts program and their enrolment in Drama and Music have been steadily increasing. The number of students enrolled in the courses this year is shown below. |  |  |\n| --- | --- | --- |\n| Drama only | 23 |  |\n| Music only | 17 |  |\n| Drama and Music | 20 |  |\n| Neither course | 32 |  |\n\n6. The number of students in the Universal set is    \n7. The number of students not enrolled in music is    \n8. If A 􀂍 B, then  \nA) All the elements in B must also be in A.  \nB) The union of A and B is the empty set.  \nC) The intersection of A and B is A.  \nD) The complement of B is A.  \nMath 30-2 Set Theory Lesson 2 Practice QuestionsSolutions Use the following information to answer the next 2 questions.  \nIn a Western Canadian High School, there are 82 grade 12 students. Of these students, 29 participate in badminton and 27 participate in track and field. There are 38 students who participate in neither sport.  \n1. Determine the number of students who participate only in track and field.  \n2. Determine the number of students who participate in only one of these two sports.  \nSolution  \nIllustrate the information in a Venn diagram.  \nThere are 12 students who participate in both badminton and track and field. The specific values for the 4 sections of the Venn diagram can now be determined.  \n1. The number of students who participate only in track and field is 15.  \n2. The number of students who participate in only one sport is the sum of 17 and 15. There are 32 students who participate in only one sport.  \nUse the following information to answer the next question.  \nA group of 104 grade 7 students were asked two questions:  \n􀁸 Did their family own a pet?  \n􀁸 Did they have a younger sibling?  \nThere were twice as man","cbCaimFT92Im0RDt","https://ap.wps.com/l/cbCaimFT92Im0RDt","pdf",457243,12,"English","# Practice Questions\n## Solutions and Set Theory Applications","[{\"question\":\"How do you find students who participate only in one sport from the given high school data?\",\"answer\":\"Use a Venn diagram: determine the overlap first, then compute only-in-track and only-in-badminton regions. Add the two only regions to get the total who participate in exactly one sport.\"},{\"question\":\"How do you calculate the number of students who own a pet in the grade 7 pet-and-sibling problem?\",\"answer\":\"Find the region neither-owns-pet-nor-has-a-sibling, determine the only-pet region, then add it to the overlap region where both conditions occur.\"},{\"question\":\"In the Coke and Pepsi preference questions, how do you obtain the number who drink only Pepsi?\",\"answer\":\"Compute the universal set size from the union and its complement, then subtract the counts for only Coke, intersection, and complement components from the universal total.\"}]","Math 30-2 Set Theory Lesson 2 - Practice Questions | PDF",1790782214]