[{"data":1,"prerenderedAt":-1},["ShallowReactive",2],{"detail-sidebar-cat-0-en-105":3,"doc-seo-143083-105":59,"doc-detail-143083-en":131},{"code":4,"msg":5,"data":6},0,"success",[7,13,18,23,28,33,38,43,48,51,55],{"id":8,"doc_module":4,"doc_module_name":9,"category_name":10,"show_sort_weight":11,"slug":12},1,"Document","Story & Novel",90,"story-novel",{"id":14,"doc_module":4,"doc_module_name":9,"category_name":15,"show_sort_weight":16,"slug":17},2,"Literature",80,"literature",{"id":19,"doc_module":4,"doc_module_name":9,"category_name":20,"show_sort_weight":21,"slug":22},4,"Exam",70,"exam",{"id":24,"doc_module":4,"doc_module_name":9,"category_name":25,"show_sort_weight":26,"slug":27},5,"Comic",60,"comic",{"id":29,"doc_module":4,"doc_module_name":9,"category_name":30,"show_sort_weight":31,"slug":32},6,"Technology",50,"technology",{"id":34,"doc_module":4,"doc_module_name":9,"category_name":35,"show_sort_weight":36,"slug":37},7,"Healthcare",40,"healthcare",{"id":39,"doc_module":4,"doc_module_name":9,"category_name":40,"show_sort_weight":41,"slug":42},8,"Research & Report",30,"research-report",{"id":44,"doc_module":4,"doc_module_name":9,"category_name":45,"show_sort_weight":46,"slug":47},9,"Religion & Spirituality",20,"religion-spirituality",{"id":46,"doc_module":4,"doc_module_name":9,"category_name":49,"show_sort_weight":46,"slug":50},"World Cup","world-cup",{"id":52,"doc_module":4,"doc_module_name":9,"category_name":53,"show_sort_weight":52,"slug":54},10,"Lifestyle","lifestyle",{"id":56,"doc_module":4,"doc_module_name":9,"category_name":57,"show_sort_weight":24,"slug":58},19,"General","general",{"code":4,"msg":60,"data":61},"ok",{"site_id":62,"language":63,"slug":64,"title":65,"keywords":66,"description":67,"schema_data":68,"social_meta":124,"head_meta":126,"extra_data":128,"updated_unix":130},105,"en","math-exam-31-may-2018","Math Exam - 31 May 2018","","Mathematics exam paper covering a wide range of skills, including inequality shading on a coordinate grid, solving algebraic equations, and working through simultaneous equations. Students must also factorise and simplify expressions, expand products, and rearrange formulas to make a specified variable the subject. The assessment further includes problems on similar solids, speed and time over a bridge using whole-number answers, compound interest with instalments, plus arc length and sector area calculations, vector expressions, standard form interpretation, and ratio-based mixing with volumes.",{"@graph":69,"@context":123},[70,84,106],{"@type":71,"itemListElement":72},"BreadcrumbList",[73,77,79,82],{"item":74,"name":75,"@type":76,"position":8},"https://docshare.wps.com","Home","ListItem",{"item":78,"name":9,"@type":76,"position":14},"https://docshare.wps.com/document/",{"item":80,"name":20,"@type":76,"position":81},"https://docshare.wps.com/document/exam/",3,{"item":83,"name":65,"@type":76,"position":19},"https://docshare.wps.com/document/math-exam-31-may-2018/143083/",{"url":83,"name":65,"@type":85,"image":86,"author":91,"headline":65,"publisher":94,"fileFormat":97,"inLanguage":63,"description":67,"dateModified":98,"datePublished":99,"encodingFormat":97,"isAccessibleForFree":100,"interactionStatistic":101},"DigitalDocument",{"url":87,"@type":88,"width":89,"height":90},"https://docshare.wps.com/thumbnails/math-exam-31-may-2018/143083.png","ImageObject",300,407,{"name":92,"@type":93},"Anda","Person",{"url":74,"name":95,"@type":96},"DocShare","Organization","application/pdf","2026-10-21","2026-08-25",true,{"@type":102,"interactionType":103,"userInteractionCount":105},"InteractionCounter",{"@type":104},"ViewAction",12,{"@type":107,"mainEntity":108},"FAQPage",[109,115,119],{"name":110,"@type":111,"acceptedAnswer":112},"What types of questions are included in this math exam?","Question",{"text":113,"@type":114},"The paper includes coordinate-grid inequality shading, algebraic equation solving, factorising and simplifying, expanding expressions, and rearranging formulas. It also contains geometry, similar solids, speed-time problems, compound interest instalments, vectors, standard-form table work, and ratio mixture calculations.","Answer",{"name":116,"@type":111,"acceptedAnswer":117},"What does a student need to do for the inequality question?",{"text":118,"@type":114},"Shade the region bounded by the given inequalities on the grid. Each inequality must be clearly labelled and the bounded region correctly shaded.",{"name":120,"@type":111,"acceptedAnswer":121},"How is the answer format handled for the time-over-bridge question?",{"text":122,"@type":114},"The question asks for the number of seconds it takes to pass completely over the bridge, with the answer required as a whole number.","https://schema.org",{"og:url":83,"og:type":125,"og:title":65,"og:site_name":95,"og:description":67},"article",{"robots":127,"canonical":83},"index,follow",{"doc_id":129,"site_id":62},143083,1787692692,{"code":4,"msg":5,"data":132},{"doc_id":129,"user_id":133,"nickname":92,"user_avatar":134,"doc_module":4,"category_id":19,"category_name":20,"doc_title":65,"doc_description":67,"doc_content":135,"file_id":136,"file_url":137,"file_type":138,"file_size":139,"view_count":105,"is_deleted":4,"is_public":8,"is_downloadable":8,"audit_status":8,"page_count":24,"language":140,"language_code":63,"site_id":62,"html_lang":63,"table_of_contents":141,"faqs":142,"seo_title":143,"seo_description":67,"update_tm":130,"read_time":144},962075006959,"https://ap-avatar.wpscdn.com/avatar/e0002397efbe92a78e?_k=1776741047341049297","Wiut math exam 31 May 2018  \nAll questions on this paper must be answered. Write the answers in the space below each question.  \nShow ALL working for each question.  \n1. On the grid below shade the area which is bounded by the following inequalities  \nx\u003C1, y\u003C0, y\u003Cx+1, x+y>-3  \nClearly label each inequality and shade the bounded region  \n(8 marks)  \n2. Find the value of x  \n􀯫3 + 􀯫2 = 2 − 􀯫6  \n3.  \n4.  \nx=    \n(3 marks)  \nSolve the simultaneous equations 4x+3y=4  \n-3y+4x=-6.5  \nx=    \ny=……………………  \n(5 marks)  \n(a) Factorise 􀝇 2 − 13􀝇 + 30  \n(2 marks)  \n(b) Simplify the following expression 6n-3n·2n+n  \n(2 marks)  \n5. Expand and simplify  \n(􀜽2 + 􀜽􀜾 + 􀜾2 ) (􀜽 − 􀜾)  \n(3 marks)  \n6. Rearrange to make x the subject of the formula  \n􀝕 = 􀜽1~~ ~~~~ ~~􀜾􀜽􀝔􀝔  \n(4 marks)  \n7. Two similar solids have heights of 6 cm and 9 cm. Given that the volume of the smaller solid is 88 cm³, calculate the volume of the larger solid.  \n(4 marks)  \n8. A train, 160 m long, is travelling at 24 kph. Find how many seconds it will take to pass completely over a bridge is 720 m long.  \nGive your answer to a whole number.  \nTime   seconds  \n(6 marks)  \n9. Omar borrows $1640 with compound interest of 5% per year. He has to pay the money back in two equal instalments (payments)– one payment at the end of year one, and the second payment at the end of year two.  \nCalculate the value of each instalment.  \n(4 marks)  \n10. From the diagram below calculate.  \n(a) The length of the arc AB (Give your answers to the nearest centimeter)  \n(b) The area of the sector Use 3.14 as the value of 􀟨  \na……………………cm  \nb   cm²  \n(6 marks)  \n11. BX:XC=2:1 Express the following vectors in terms of q and p  \n⃗⃗⃗􀡭⃗⃗􀡯=⃗⃗⃗􀡭⃗⃗⃗􀢄 =⃗⃗⃗􀢄⃗⃗⃗􀡰 =  \n(6 marks)  \n12. The table shows information about the number of students in four countries  \n\n| Japan | 8.75 × 105 |\n| --- | --- |\n| Korea | 1.23 × 106 |\n| China |  |\n| US | 1.34 × 104 |\n\na) China has 43 million students. Show this on the table in standard form  \n(1 marks)  \nb) By how many students more in Japan than China  \n(4 marks)  \n13. 5640 is divided between three people Sardor, Akbar and Shohrukh so that A receives $100 more than B, and B receives 34 of the amount C receives.  \nFind The amount that each receives  \nSardor    \nAkbar    \nShohrukh    \n(6 marks)  \n14. Pina Colada cocktails are made by mixing pineapple juice and coconut juice in the ratio 3:1  \nAlloa Havana cocktails are made by mixing pineapple juice and coconut juice in the ratio 1:3 A litre of Pina Colada cocktail is mixed with 500 ml of Alloa Havana cocktail by mistake.  \nHow much pineapple juice needs to be added to the mixture to make it Pina Colada again?  \n(6 marks)","cbCaiv4prCKPxjDF","https://ap.wps.com/l/cbCaiv4prCKPxjDF","pdf",317552,"English","# Questions\n## Algebra and equations\n## Expressions and formula rearrangement\n## Geometry and measurement\n## Similar solids, rates and finance\n## Vectors and data in tables\n## Ratios and mixture problems","[{\"question\":\"What types of questions are included in this math exam?\",\"answer\":\"The paper includes coordinate-grid inequality shading, algebraic equation solving, factorising and simplifying, expanding expressions, and rearranging formulas. It also contains geometry, similar solids, speed-time problems, compound interest instalments, vectors, standard-form table work, and ratio mixture calculations.\"},{\"question\":\"What does a student need to do for the inequality question?\",\"answer\":\"Shade the region bounded by the given inequalities on the grid. Each inequality must be clearly labelled and the bounded region correctly shaded.\"},{\"question\":\"How is the answer format handled for the time-over-bridge question?\",\"answer\":\"The question asks for the number of seconds it takes to pass completely over the bridge, with the answer required as a whole number.\"}]","Math Exam - 31 May 2018 | PDF",13]