[{"data":1,"prerenderedAt":-1},["ShallowReactive",2],{"detail-sidebar-cat-0-en-105":3,"doc-seo-143774-105":59,"doc-detail-143774-en":135},{"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":128,"head_meta":130,"extra_data":132,"updated_unix":134},105,"en","online-mathematics-entrance-examination-date-18th-june-2020-examination-instructions-and-questions","ONLINE MATHEMATICS ENTRANCE EXAMINATION - Date 18th JUNE 2020 - Examination instructions and questions","","Online Mathematics Entrance Examination for 18th June 2020, scheduled 16.00–17.30, with 1 hour 30 minutes total and a requirement to answer every question. Calculations must be shown and evidence is required for marks; work and answers must be written in the provided spaces. No calculators are allowed, and an internet-connected computer with stable electricity is required. Disqualification rules cover leaving the room, talking, unauthorized materials, cheating, or prohibited devices, with no re-entry after disconnection.",{"@graph":69,"@context":127},[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/online-mathematics-entrance-examination-date-18th-june-2020-examination-instructions-and-questions/143774/",{"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/online-mathematics-entrance-examination-date-18th-june-2020-examination-instructions-and-questions/143774.png","ImageObject",300,407,{"name":92,"@type":93},"Miles","Person",{"url":74,"name":95,"@type":96},"DocShare","Organization","application/pdf","2026-10-25","2026-08-25",true,{"@type":102,"interactionType":103,"userInteractionCount":105},"InteractionCounter",{"@type":104},"ViewAction",14,{"@type":107,"mainEntity":108},"FAQPage",[109,115,119,123],{"name":110,"@type":111,"acceptedAnswer":112},"How long is the exam and what is required for scoring?","Question",{"text":113,"@type":114},"The exam lasts 1 hour 30 minutes and all questions must be answered. Marks are awarded only when calculations are evidenced, and workings/answers must be written in the spaces provided.","Answer",{"name":116,"@type":111,"acceptedAnswer":117},"What equipment is needed to take the online exam?",{"text":118,"@type":114},"A computer connected to high speed Internet and stable electricity is required. The exam cannot be taken on a mobile phone.",{"name":120,"@type":111,"acceptedAnswer":121},"What actions lead to automatic disqualification?",{"text":122,"@type":114},"Disqualification occurs if the applicant leaves the room, talks/whispers/turns around, uses unauthorized materials, cheats, fails security checks for pockets/containers, or has a mobile phone or other electronic device on the room/table.",{"name":124,"@type":111,"acceptedAnswer":125},"Can an applicant re-join the exam after leaving or disconnecting?",{"text":126,"@type":114},"No. Once the applicant leaves the examination environment or disconnects, they cannot re-join and continue.","https://schema.org",{"og:url":83,"og:type":129,"og:title":65,"og:site_name":95,"og:description":67},"article",{"robots":131,"canonical":83},"index,follow",{"doc_id":133,"site_id":62},143774,1787696677,{"code":4,"msg":5,"data":136},{"doc_id":133,"user_id":137,"nickname":92,"user_avatar":138,"doc_module":4,"category_id":19,"category_name":20,"doc_title":65,"doc_description":67,"doc_content":139,"file_id":140,"file_url":141,"file_type":142,"file_size":143,"view_count":105,"is_deleted":4,"is_public":8,"is_downloadable":8,"audit_status":8,"page_count":34,"language":144,"language_code":63,"site_id":62,"html_lang":63,"table_of_contents":145,"faqs":146,"seo_title":147,"seo_description":67,"update_tm":134,"read_time":148},13056703019404,"https://ap-avatar.wpscdn.com/davatar_29158cc5080c5b710cf443261637dec0","ONLINE MATHEMATICS ENTRANCE EXAMINATION  \nDATE: 18th JUNE 2020  \nTIME: 16.00-17.30  \n1. You have 1 hour and 30 minutes for the exam.  \n2. You must answer all questions.  \n3. No calculators are allowed.  \n4. Type your answers in the spaces below the questions.  \n5. Answers with no evidence of calculations will not score any marks. Workingsand answers written on any other page will not be considered.  \n6. You will need a computer connected to high speed Internet and stable electricity (You cannot take online math entrance exam on mobile phone) .  \nPlease note additional requirements:  \n7. Applicant will be automatically disqualified from the examination and will receive ascore of 0 for the exam and exam administration fee payment will not be reimbursed:  \na) If he/she leaves the room during the examination.  \nb) If he/she talks, whispers, or turns around.  \nc) If he/she found to have any unauthorized materials during the examination  \nd) If he/she caught cheating in the examination.  \ne) If he /she fails to show contents of his/her pockets or any other containers to the invigilators.  \nf) If he/she is found to have a mobile phone or other electronic device (switched on or off) on his/her room/table during the exam.  \n8. During the examination period, any technical problems including poor internet connection from applicant’s side that may cause an applicant to leave the examination environment is under the applicant’s responsibility.  \n9. Applicant cannot re-join the exam and continue the examination process. Once you leave the examination or you disconnect, you cannot continue the exam.  \n10. Invigilator may conduct room security checks at any point during your exam. You must perform all requested security checks. Loss of time during these security checks cannot be made up.  \n11. Please follow detailed exam instruction sent to applicant’s personal account via admission system.  \n12.Applicant has to follow the instruction strictly during the examination.  \nApplicant ID:  \nAll questions on this paper must be answered.  \nWrite the answers in the space below each question. Working must be shown for all stages of the questions.  \n1.  \na) Work out the volume of the cuboid made by the net shown below.  \n2 marks  \nb) Calculate the surface area of this trapezium prism  \n………………………….  \n3 marks  \n2. A sequence has the first four terms  \nx, 2x + y, 3x + 2y, 4x + 3y  \na) What is the 6th term of this sequence?  \n2 marks The sum of the first four terms is 5 and the fifth term has the value of 1.  \nb) Find the values of x and y.  \nx =    \n2 marks y = ……………….  \n2 marks  \n3. Use trial and improvement to solve this equation to 1 decimal place.  \nx3 – 4x – 1 = 30  \nx =    \n3 marks 4.  \na) The area of the world is approximately 135 085 000 km2 Express this number in standard form  \n2 marks  \nThe area of Africa is approximately 30 132 000 km2  \nb) Calculate the area of Africa as a percentage of the area of the world.  \nGive your answer to 1 decimal place.  \n……………………  \n3 marks  \n5. Given that x = 64, work out  \n􀝔 ~~ ~~12 + 􀝔 ~~ ~~23  \n…………………  \n2 marks  \n6. a) What is the value of x – 0.05 as a fraction?  \n2 marks  \nb) How many integers satisfy both of these inequalities?  \n5x > 4  \n3x – 4 \u003C 32  \n2 marks  \n7. a) The perimeter of a square is 49 cm. What is its area?  \n2 marks  \nb) A cube has a total surface area of 726 cm2  \nWhat is the length of one edge of the cube?  \n2 marks 8.  \na) Rearrange this formula to make x the subject a = √(􀯠􀯫)  \nx =    \n2 marks  \nb) Simplify as far as possible  \n5􀝔 + 2􀝔2  \n3􀝔  \n2 marks  \n9. Find three pairs of equivalent expressions from the ones below. You must show all your workings.  \nA  \n􀝔 2  \n2􀝔  \nD  \n3􀝔 + 6  \n3􀝔  \nB  \n􀝔 (􀝔 + 1)􀝔 2  \nE  \n􀝔 + 1 􀝔  \nG  \n􀝔 + 1  \n􀝔 − 1  \nC  \n􀝔 2 + 􀝔  \n􀝔 2 − 􀝔  \nF  \n􀝔 + 2 􀝔  \nPair 1    \nPair 2    \nPair 3    \n2 marks each (total 6 marks)  \n10. a) Find a and b so that  \n1􀯔 + 1􀯕 = 58  \na =    \nb =    \n2 marks  \nb) An oil tank weighs 250 kg when it is 14 full and 350 kg when it is 34 full. What","cbCaiicWK6cNIKzm","https://ap.wps.com/l/cbCaiicWK6cNIKzm","pdf",586677,"English","# Examination instructions\n## General rules and disqualification conditions\n## Technical and re-entry rules\n## Security checks and account instructions\n# Mathematics questions\n## Volume, surface area, and perimeter\n## Sequences, algebra, and equations\n## Standard form and percentage\n## Inequalities and cube roots\n## Angles and rearranging formulas\n## Straight lines, tables, and word problems\n## Fractions ratios and algebraic proof","[{\"question\":\"How long is the exam and what is required for scoring?\",\"answer\":\"The exam lasts 1 hour 30 minutes and all questions must be answered. Marks are awarded only when calculations are evidenced, and workings/answers must be written in the spaces provided.\"},{\"question\":\"What equipment is needed to take the online exam?\",\"answer\":\"A computer connected to high speed Internet and stable electricity is required. The exam cannot be taken on a mobile phone.\"},{\"question\":\"What actions lead to automatic disqualification?\",\"answer\":\"Disqualification occurs if the applicant leaves the room, talks/whispers/turns around, uses unauthorized materials, cheats, fails security checks for pockets/containers, or has a mobile phone or other electronic device on the room/table.\"},{\"question\":\"Can an applicant re-join the exam after leaving or disconnecting?\",\"answer\":\"No. Once the applicant leaves the examination environment or disconnects, they cannot re-join and continue.\"}]","ONLINE MATHEMATICS ENTRANCE EXAMINATION - Date 18th JUNE 2020 - Examination instructions and questions | PDF",18]