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Problems cover selecting elements from given sets, counting overlaps for real contexts (students, wedding guests, gym attendance, sports preferences, instruments), and interpreting conditional probability from described data.",{"@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/exam-style-questions-venn-diagrams/657328/",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/exam-style-questions-venn-diagrams/657328.png","ImageObject",300,407,{"name":42,"@type":43},"Patrick","Person",{"url":19,"name":45,"@type":46},"DocShare","Organization","application/pdf","2026-10-30","2026-10-26",true,{"@type":52,"interactionType":53,"userInteractionCount":55},"InteractionCounter",{"@type":54},"ViewAction",7,{"@type":57,"mainEntity":58},"FAQPage",[59,65,69],{"name":60,"@type":61,"acceptedAnswer":62},"What guidance is given before answering the questions?","Question",{"text":63,"@type":64},"Read each question carefully, don’t spend too long on any one question, attempt every question, check answers, and always show your workings.","Answer",{"name":66,"@type":61,"acceptedAnswer":67},"How do the questions use Venn diagrams?",{"text":68,"@type":64},"They require completing Venn diagrams and using them to determine which numbers or people belong to specific sets, including intersections, unions, and complements.",{"name":70,"@type":61,"acceptedAnswer":71},"What kinds of probability calculations appear in the set questions?",{"text":72,"@type":64},"The problems ask for probabilities of elements being in intersections or specific regions of Venn diagrams, as well as probabilities involving conditions such as “given that” someone attended or passed a particular section.","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},657328,1793096311,{"code":4,"msg":82,"data":83},"success",[84,88,92,95,100,105,109,114,119,122,126],{"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":96,"doc_module":4,"doc_module_name":25,"category_name":97,"show_sort_weight":98,"slug":99},5,"Comic",60,"comic",{"id":101,"doc_module":4,"doc_module_name":25,"category_name":102,"show_sort_weight":103,"slug":104},6,"Technology",50,"technology",{"id":55,"doc_module":4,"doc_module_name":25,"category_name":106,"show_sort_weight":107,"slug":108},"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":96,"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":145},549758146520,"https://ap-avatar.wpscdn.com/avatar/80002397d8c0411e94?_k=1775819394049821470","| Name: |  |\n| --- | --- |\n| Exam Style Questions\u003Cbr>| |\n| Ensure you have: Pencil, pen, ruler, protractor, pair of compasses and eraser You may use tracing paper if needed |  |\n\nGuidance  \n1. Read each question carefully before you begin answering it.  \n2. Don’t spend too long on one question.  \n3. Attempt every question.  \n4. Check your answers seem right.  \n5. Always show your workings  \nRevision for this topic  \n© Corbettmaths 2016  \n1. ξ = {1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16}  \nA = multiples of 3  \nB = multiples of 5  \n(a) Complete the Venn diagram  \n(3)  \nOne of the numbers is selected at random.  \n(b) Write down P (A ∩ B)  \n(1)  \n2. Here is a Venn diagram  \nWrite down the numbers that are in set  \n(a) D  \n(1)  \n(b) C ∪ D  \n……………………………………….  \n(1)  \n(c) C '  \n……………………………………….  \n(1)  \n© Corbettmaths 2016  \n3. There are 80 students in year 11.  \n9 students study French and German.  \n35 students only study French  \n2 students do not study French or German.  \n(a) Complete the Venn diagram  \n(2)  \n(b) Work out how many students study only German.  \n............................  \n(1)  \n4. At a wedding, the guests may have ice cream or custard with their dessert. The Venn diagram shows information about the choices the guests made.  \n(a) How many guests had custard?  \n(1)  \n(b) How many guests had ice cream and custard?  \n(1)  \n(c) How many guests went to the wedding?  \n(1)  \n© Corbettmaths 2016  \n5. Here is a Venn diagram.  \nWrite down the numbers that are in set  \n(a) A ∩ B  \n(1)  \n(b) A ∪ B  \n(1)  \n(c) A '  \n……………………………………….  \n(1)  \nOne of the numbers in the diagram is chosen at random.  \n(d) Find the probability that the number is in set B’  \n(1)  \n© Corbettmaths 2016  \n6. A gym runs two fitness classes, spinning and circuits.  \nOn Saturday 100 people visited the gym.  \n18 people attended the spinning class.  \n10 people attended both classes.  \n56 people did not attend either class.  \n(a) Represent this information on a Venn diagram  \n(3)  \nA person who attended the gym is selected at random.  \nFind the probability that this person  \n(b) attended only circuits  \n(2)  \n(c) attended exactly one class  \n(2)  \n(d) attended spinning, given that they attended circuits  \n(2)  \n© Corbettmaths 2016  \n7. Jennifer asked 80 people which sports they enjoy from Football, Hockey and Rugby.  \n(a) How many people enjoy all three sports?  \n(1)  \n(b) How many people enjoy football and hockey but not rugby?  \n(2)  \n(c) How many people enjoy football and rugby but not hockey?  \n(2)  \n(d) Work out which sport is enjoyed by the most number of people.  \n(3)  \n© Corbettmaths 2016  \n8. In a class of 24 students  \n12 students play the piano  \n13 students play the guitar  \n4 students play neither instrument.  \n(a) Represent this information on a Venn diagram  \n(3)  \nA student is selected at random.  \n(b) Work out the probability that the student only plays the guitar.  \n............................  \n(1)  \n9. In a company there are 110 workers.  \n90 workers like tea.  \n41 workers like coffee.  \n25 workers like both tea and coffee.  \nWork out how many workers like neither tea or coffee.  \n(3)  \n© Corbettmaths 2016  \n10. A group of friends have been surveyed.  \n38% have been to Canada.  \n80% have been to France.  \n11% have been to neither Canada or France.  \nFind the percentage of the group that have been to Canada and France.  \n  %  \n(4)  \n11. Here is a Venn diagram.  \nA number is chosen at random.  \n(a) Write down P (A ∩ B')  \n(2)  \n(b) Write down P (A' ∪ B')  \n(2)  \n(c) Write down P (B 䡃A)  \n(2)  \n© Corbettmaths 2016  \n12. A PE test has two sections, theory and practical.  \nEveryone in a class who took the PE test passed at least one section. 62% passes the theory section and 83% passed the practical section.  \n(a) Represent this information on a Venn diagram  \n(3)  \nA student is selected at random.  \nWork out the probability that this person  \n(a) passed the theory section, given they passed the practical section.  \n(2)  \n(b) passed","cbCaib8xygw0CfWk","https://ap.wps.com/l/cbCaib8xygw0CfWk","pdf",558958,11,"English","# Exam Style Questions\n## Instructions\n## Revision for this topic\n## Questions 1-13","[{\"question\":\"What guidance is given before answering the questions?\",\"answer\":\"Read each question carefully, don’t spend too long on any one question, attempt every question, check answers, and always show your workings.\"},{\"question\":\"How do the questions use Venn diagrams?\",\"answer\":\"They require completing Venn diagrams and using them to determine which numbers or people belong to specific sets, including intersections, unions, and complements.\"},{\"question\":\"What kinds of probability calculations appear in the set questions?\",\"answer\":\"The problems ask for probabilities of elements being in intersections or specific regions of Venn diagrams, as well as probabilities involving conditions such as “given that” someone attended or passed a particular section.\"}]","Exam Style Questions - Venn Diagrams | PDF",1792977546,28]