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The paper provides exam instructions on duration, answer recording, required calculations, and strict rules on conduct, materials, communication, and electronic devices. It includes multiple-choice and open-ended questions with point values, covering topics such as factorization, energy in physics context, system solving, circles, profit modeling, and triangle and floor-plan geometry.",{"@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/sample-of-mathematics-entrance-examination-2025/144018/",{"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/sample-of-mathematics-entrance-examination-2025/144018.png","ImageObject",300,407,{"name":92,"@type":93},"Quinn","Person",{"url":74,"name":95,"@type":96},"DocShare","Organization","application/pdf","2026-10-29","2026-08-25",true,{"@type":102,"interactionType":103,"userInteractionCount":105},"InteractionCounter",{"@type":104},"ViewAction",17,{"@type":107,"mainEntity":108},"FAQPage",[109,115,119],{"name":110,"@type":111,"acceptedAnswer":112},"How long is the Mathematics Entrance Examination 2025 and how should answers be recorded?","Question",{"text":113,"@type":114},"The exam lasts 1 hour and 30 minutes. Answer all questions, and for open-ended questions write answers in the spaces below the questions with calculations shown, as work written elsewhere will not be marked.","Answer",{"name":116,"@type":111,"acceptedAnswer":117},"Are calculators allowed and what happens if there is unauthorized material or cheating?",{"text":118,"@type":114},"No calculators are allowed. Unauthorized exam-related materials or cheating leads to disqualification from the exam without a right of appeal.",{"name":120,"@type":111,"acceptedAnswer":121},"What restrictions apply to leaving the room and using electronic devices?",{"text":122,"@type":114},"You are not allowed to leave during the first 30 minutes or the last 15 minutes. Mobile phones and other electronic devices must be switched off and left where invigilators indicate, otherwise disqualification applies.","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},144018,1787697973,{"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":39,"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":46},962075114765,"https://ap-avatar.wpscdn.com/davatar_a8503ba1806abce46bf441b54a3ca4cd","Sample of Mathematics Entrance Examination 2025  \nDATE:  \nSESSION:  \n1. You have 1 hour and 30 minutes for the exam.  \n2. Answer all questions.  \n3. No calculators are allowed.  \n4. For Open-ended questions write your answers in the spaces below the questions. Answers with no evidence of calculations will not score any marks. Workings and answers written on any other page will not be marked.  \nPlease note additional requirements:  \na) You are not allowed to leave during the first 30 minutes or the last 15 minutes of the examination.  \nb) You are not allowed to talk, to whisper, to turn around or to look at another candidate’s examination, all of which are offences, and you will be penalized. If you commit this offence, you will be given a single written warning; after which if you commit a further offence, you will be reported to an assessment board without a right of appeal or refund of the exam administration fee.  \nc) You cannot borrow another student’s stationery or materials.  \nd) If your pen runs out of ink, you may request a replacement from the invigilator. No other stationery or materials may be provided for you by the invigilator.  \ne) If you are found to have any unauthorized exam related materials during the examination this will constitute an offence and you will be disqualified from the exam.  \nf) If you are caught cheating in the examination, you will be disqualified from the exam.  \ng) Failure to show contents of your pockets or any other containers to the invigilators will be considered as an offence and you will be disqualified from the exam.  \nh) All mobile phones and other electronic devices must be switched off and left at a place indicated by the invigilators. If you are found to have a mobile phone or other electronic device (switched on or off) on you during the exam, this will be considered as unauthorized examination materials, and you will be disqualified from the exam without a right of appeal.  \nApplicant ID:  \n1. Find 􀯙􀯚((􀯫􀯫)) , 􀝂􀝋􀝎 􀝔 > 3, if 􀝂(􀝔) = 􀝔 3 − 9􀝔 and 􀝃 (􀝔) = 􀝔 2 − 2􀝔 − 3.  \n(2 marks)  \n\n| a) 􀯫~~ ~~1 | b) 􀝔 + 3\u003Cbr>􀝔 + 1 | c) 􀝔 (􀝔 − 3)\u003Cbr>􀝔 + 1 | d) 􀝔 (􀝔 + 3)\u003Cbr>􀝔 + 1 |\n| --- | --- | --- | --- |\n\n2. The total energy of an electron in orbit is the sum of its  \n−􀯘 2 􀯘 2  \npotential energy ~~ ~~ in joules, and its kinetic energy ~~ ~~  \n􀯥 , 2􀯥 ,  \nin joules. Which of the following gives the total energy, in joules, of an electron in orbit?  \n| a)  −􀯘2 2􀯥 | b) 3􀝁 2\u003Cbr>2􀝎 | c) −􀝁2\u003Cbr>3􀝎 | d)  􀝁 2 (1 − 􀝎) 2􀝎2 |\n| --- | --- | --- | --- |\n\n3. In the equation (􀢇􀢞 + 􀫜)􀫛 = 􀫜􀫟 , 􀢇 is a constant. If 􀢞 = −􀫜 is one solution to the equation. What is the possible values of 􀢇?  \n(2 marks)  \na) −11 b) −5 and 2 c) −1 and 3 d) 0  \n4. What is the solution set to the equation below.   \n􀝔 = √4􀝔 − 3  \n(2 marks)  \na) {1} b) {1, 3} c) {3} d) {0, 1}  \n5. Which of the following is equivalent to the expression.  \n3 (􀝔 + 2)(􀝔 − 5) + 2(􀝔 + 1)(􀝔 + 3)  \n(2 marks)  \na) 5􀝔2 − 􀝔 − 24 b) 5􀝔2 − 􀝔 − 39 c) 5􀝔2 − 􀝔 − 51 d) 5􀝔4 − 􀝔 − 39  \n6. Solve the equation 􀝔 2 − 10􀝔 + 25 = 0  \n(2 marks)  \na) 5 b) -5 c) 5 and-5 d) 0  \n7. A line is shown in the xy-plane below. Find the equation of the straight line?  \n(2 marks)  \na) 􀝕 = (~~ ~~25) 􀝔 − 5 b) 􀝕 = −5􀝔 + 2 c) 􀝕 = −2􀝔 − 5 d) 􀝕 = (~~ ~~52) 􀝔 − 5  \n8. In the equation below, 􀢇, 􀢈 , 􀢉 and 􀢊 are constants.  \n􀢇􀢞􀫜 + 􀢈􀢞􀫛 + 􀢉􀢞 + 􀢊 = 􀫙  \nIf the equation has roots-1, -3, and 5, which of the following is a factor of expression 􀢇􀢞􀫜 + 􀢈􀢞􀫛 + 􀢉􀢞 + 􀢊 .  \n(2 marks)  \na) 􀝔 − 1 b) 􀝔 + 1 c) 􀝔 − 3 d) 􀝔 + 5  \n9. In the figure below, AD intersects BE at point C. If 􀝔 = 100, what is the value of 􀝕?  \n(2 marks)  \na) 60 b) 80 c) 90 d) 100  \n10. Simplify given expression     2√45 + 3√20  \n6√5  \n(2 marks)  \na) 4 b) 5 c) 2 d) 3  \n11. The system of equations below has no solution (􀝔, 􀝕) . Which of the following could be the values of 􀜽 and 􀜾?  \n{􀝕  \n􀝕  \n=  \n= 14 􀝔  \n􀜽􀝔 − 􀜾  \n(4 marks)  \na) 􀜽 = 14 , 􀜾 = 0 b) 􀜽 = 14 , 􀜾 = 1 c) 􀜽 = −4 􀜾 = 0 d) 􀜽 = −4, 􀜾 = 1  \n12. In the circle given, point O is the center, and diamete","cbCaifANRy2x0qqj","https://ap.wps.com/l/cbCaifANRy2x0qqj","pdf",545027,"English","# Examination Instructions\n## General rules\n## Exam conduct and penalties\n## Allowed materials and cheating policy\n# Mathematics Questions\n## Algebra and equations\n## Functions and modeling\n## Coordinate geometry and graphs\n## Geometry and measurement","[{\"question\":\"How long is the Mathematics Entrance Examination 2025 and how should answers be recorded?\",\"answer\":\"The exam lasts 1 hour and 30 minutes. Answer all questions, and for open-ended questions write answers in the spaces below the questions with calculations shown, as work written elsewhere will not be marked.\"},{\"question\":\"Are calculators allowed and what happens if there is unauthorized material or cheating?\",\"answer\":\"No calculators are allowed. Unauthorized exam-related materials or cheating leads to disqualification from the exam without a right of appeal.\"},{\"question\":\"What restrictions apply to leaving the room and using electronic devices?\",\"answer\":\"You are not allowed to leave during the first 30 minutes or the last 15 minutes. Mobile phones and other electronic devices must be switched off and left where invigilators indicate, otherwise disqualification applies.\"}]","Sample of Mathematics Entrance Examination 2025 | PDF"]