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Includes exam administration instructions on time limits, mandatory completion, prohibition of calculators, typing answers in provided spaces, and strict penalties for leaving the room, communicating, unauthorized materials, cheating, or carrying electronic devices. Additional rules address technical issues, disconnection preventing re-entry, and required security checks. The paper contains 16 math questions covering algebra, functions and domains, inequalities with prime numbers, geometry, sequence rules, similarity, surface area/volume, and percentage changes.",{"@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/online-mathematics-entrance-examination-instructions-and-questions-june-30-2020/143996/",{"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-instructions-and-questions-june-30-2020/143996.png","ImageObject",300,407,{"name":92,"@type":93},"Quinn","Person",{"url":74,"name":95,"@type":96},"DocShare","Organization","application/pdf","2026-10-20","2026-08-25",true,{"@type":102,"interactionType":103,"userInteractionCount":105},"InteractionCounter",{"@type":104},"ViewAction",13,{"@type":107,"mainEntity":108},"FAQPage",[109,115,119],{"name":110,"@type":111,"acceptedAnswer":112},"What equipment is required to take the online mathematics entrance exam, and what is not allowed?","Question",{"text":113,"@type":114},"A computer connected to high-speed Internet and stable electricity is required. Calculators are not allowed.","Answer",{"name":116,"@type":111,"acceptedAnswer":117},"What happens if a candidate leaves the room or disconnects during the exam?",{"text":118,"@type":114},"Leaving the room leads to automatic disqualification and a score of 0, and a candidate cannot re-join the exam after leaving or disconnecting.",{"name":120,"@type":111,"acceptedAnswer":121},"How should answers be submitted and marked?",{"text":122,"@type":114},"Answers must be typed in the spaces below each question. 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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. Workings and 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 a score of  \n0 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.  \nWorking must be shown for all stages of the questions.  \n1.  \nAnya has a new fish tank. The fish tank is filled with water up to a depth of 30 cm.  \n1000 cm3 = 1 litre  \n1 UK gallon = 4.5 litres  \nAnya can keep 3 small fish in each UK gallon of water.  \nHow many fish can Anya keep in the water?  \n(4 marks)  \n2  \na)  \nA scale model of a mini car is to be made. It is similar in all aspects to the real car.  \nBelow is a table of specifications for the real and the model cars. Find the values of a, b and c.  \n|  | Car | Model |\n| --- | --- | --- |\n| Length | 420 cm | 12 cm |\n| Width | a cm | 5 cm |\n| Area of windscreen | 8330 cm2 | b cm2 |\n| Size of boot | c cm3 | 19.2 cm3 |\n\n(5 marks)  \nb)  \nWhen 6 robots are employed to produce a real minicar it takes 4 minutes to make each car.  \ni) Use inverse proportion to find out how long it would take 8 robots to build a car  \n(1 mark)  \nii) How many robots would need to be employed to make a car in 30 seconds?  \n(2 marks)  \n3.  \na) Complete the table below for 􀝕 = 12 􀝔 2 for the following values  \n\n| x | -3 | -2 | -1 | 0 | 1 | 2 | 3 |\n| --- | --- | --- | --- | --- | --- | --- | --- |\n| y |  |  |  |  |  |  |  |\n\nb) Find the equation of the straight line describing this graph.  \nc) Find the domain of the function  \n􀝕 = 3~~ ~~~~ ~~􀝔  \n4.  \na) Identify the prime numbers which satisfy the inequality  \n0 ≤ 2x – 3 ≤ x + 8  \nb) Make 􀜽 the subject of  \n􀯞 2 (􀯠−􀯔)= 􀝔  \n􀯫  \n5  \na) Find the nth term of this sequence  \n1, 4, 7, 10, 13  \nb) The sequence-4n + 26 only shares one value with the series given in section a) . What is that value?  \n(3 marks)  \n(3 marks)  \n(2 marks)  \n(3 marks)  \n(2 marks)  \n(2 marks)  \n(2 marks)  \n6.  \nA cube has a total surface area of 726 cm2. What is the length of each edge of the cube?  \n(2 marks)  \n7.  \nIf c = 4.5 cm and b = 2.5 cm, find the value of a.  \nBy trial and improvement give your answer to the nearest 1 decimal po","cbCaiqoKOYGppvCI","https://ap.wps.com/l/cbCaiqoKOYGppvCI","pdf",5660549,64,"English","# Exam Instructions\n## Penalties and Security Requirements\n## Technical and Re-entry Rules\n# Questions\n## Fish Tank and Proportions\n## Scale Model Dimensions\n## Inverse Proportion with Robots\n## Functions, Domain, and Straight Lines\n## Inequalities and Prime Numbers\n## Sequences and nth Term\n## Volume and Surface Area Problems\n## Similarity of Solids\n## Vectors and Number Ordering\n## Coordinate Geometry and Equations","[{\"question\":\"What equipment is required to take the online mathematics entrance exam, and what is not allowed?\",\"answer\":\"A computer connected to high-speed Internet and stable electricity is required. Calculators are not allowed.\"},{\"question\":\"What happens if a candidate leaves the room or disconnects during the exam?\",\"answer\":\"Leaving the room leads to automatic disqualification and a score of 0, and a candidate cannot re-join the exam after leaving or disconnecting.\"},{\"question\":\"How should answers be submitted and marked?\",\"answer\":\"Answers must be typed in the spaces below each question. Marks are not awarded for answers without evidence of calculations, and workings must be shown for all stages.\"}]","ONLINE MATHEMATICS ENTRANCE EXAMINATION - Instructions and Questions - June 30, 2020 | PDF",161]