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Covers a range of topics including decimals and recurring/terminating representations, algebraic expansion and factorisation, simultaneous equations, circle geometry with tangent-angle reasoning, standard form computations and proportional relationships, number theory with card labeling, sequences, ratios in work-time sharing, calculations involving multiplication/division and rearranged formulae, surface area of a cylinder-like wood piece, and dart score ratios.",{"@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/mathematics-entrance-examination-2019-2/142992/",{"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/mathematics-entrance-examination-2019-2/142992.png","ImageObject",300,407,{"name":92,"@type":93},"Logic","Person",{"url":74,"name":95,"@type":96},"DocShare","Organization","application/pdf","2026-11-01","2026-08-25",true,{"@type":102,"interactionType":103,"userInteractionCount":105},"InteractionCounter",{"@type":104},"ViewAction",16,{"@type":107,"mainEntity":108},"FAQPage",[109,115,119],{"name":110,"@type":111,"acceptedAnswer":112},"How long is the mathematics entrance examination, and what must you do for scoring?","Question",{"text":113,"@type":114},"You have 1 hour and 10 minutes and must answer all questions. Answers need evidence of calculations and must be written in the spaces below each question; work on other pages is not marked.","Answer",{"name":116,"@type":111,"acceptedAnswer":117},"Are calculators or scrap paper allowed?",{"text":118,"@type":114},"No calculators are allowed. No scrap paper may be used, and all work must be written in the exam booklet.",{"name":120,"@type":111,"acceptedAnswer":121},"What are the penalties for cheating or unauthorized materials?",{"text":122,"@type":114},"Cheating or having unauthorized exam-related materials results in disqualification without any right to claim reimbursement of the exam administration fee. Talking, whispering, looking at another candidate, or other offences are also penalized and may lead to reporting to an assessment board.","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},142992,1787692194,{"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":105,"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":36},1099513958762,"https://ap-avatar.wpscdn.com/avatar/1000023916a998db790?x-image-process=image/resize,m_fixed,w_180,h_180&k=1784791008015729253","Mathematics Entrance Examination  \n23 April 2019  \n1. You have 1 hour and 10 minutes for the exam.  \n2. Answer all questions.  \n3. No calculators are allowed.  \n4. 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) If you are left handed or ambidextrous with left hand preference you should inform the invigilator before the start of the exam so that seating arrangements can fit your requirements.  \nc) 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.  \nd) No scrap paper may be used. All work must be written in the exam booklet.  \ne) You can use non-erasable blue or black pen only. Any answers written in pencil may not be marked.  \nf) You cannot use whiteout/correction fluid. If you use this material to correct any of your answers they may not be marked. If you make a mistake, you should simply draw a line through the mistake with pen and continue.  \ng) You cannot borrow another student’s stationery or materials.  \nh) 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.  \ni) 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 without a right to claim the reimbursement of the exam administration fee.  \nj) If you are caught cheating in the examination, you will be disqualified from the exam without a right to claim the reimbursement of the exam administration fee.  \nk) Failure to show contents of your pockets or any other containers to the invigilators will be considered asan offence and you will be disqualified from the exam with no right of appeal or refund of the fee.  \nl) 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 unauthorised examination materials and you will be disqualified from the exam without a right of appeal or refund of the fee.  \nApplicant ID:  \nAll questions on this paper must be answered.  \nWrite the answers in the space below each question.  \nShow ALL working for each question.  \n1. a) Zahid says that 1324 can be converted into a terminating decimal. Anya says that the fraction converts to a recurring decimal. Who is correct? You must show your workings.  \n(2 marks)  \nb) Work out  \n46.2÷ 0.03  \n(1 mark)  \nc) Work out  \n8710 + 313  \n(1 mark)  \n(Total for page: 4 marks)  \n2. a) Expand and simplify (x – 2 )(x + 10)  \n(2 marks)  \nb) Solve the simultaneous equations  \n4x +7y = 1  \n3x +10y= 15  \nx =    \ny = ………………. .  \n(4 marks)  \nc) Factorise  \nx 2 + 3x– 10  \n(2 marks)  \n(Total for page: 8 marks)  \n3. A, B and T are points on the circumference of a circle, centre O.  \nThe line XTY is the tangent at T to the circle.  \nAB = TB.  \nAngle XTA = 63 ° .  \nCalculate the size of angle OTB.  \nGive a reason for each stage in your working.  \nX T Y  \n(Total for page: 4 marks)  \n4. a) There are 5 x 109 red blood cells in 1ml of blood.  \nCalculate , in standard form, the number of red blood cells in 3.25 litres of blood.  \n(3 marks)  \nb) a is directly proportional to b, when a = 5, and b = 8. What is the value of a when b = 24?  \n(4 marks)  \n(Total for page: 7 marks)  \n5. a) Wilhelm has 100 cards.  \nThe","cbCaimFqiz4wsHeO","https://ap.wps.com/l/cbCaimFqiz4wsHeO","pdf",1000145,"English","# Examination Instructions\n## Rules and Penalties\n## How to Record Answers\n# Questions\n## Question 1\n## Question 2\n## Question 3\n## Question 4\n## Question 5\n## Question 6\n## Question 7\n## Question 8\n## Question 9\n## Question 10","[{\"question\":\"How long is the mathematics entrance examination, and what must you do for scoring?\",\"answer\":\"You have 1 hour and 10 minutes and must answer all questions. Answers need evidence of calculations and must be written in the spaces below each question; work on other pages is not marked.\"},{\"question\":\"Are calculators or scrap paper allowed?\",\"answer\":\"No calculators are allowed. No scrap paper may be used, and all work must be written in the exam booklet.\"},{\"question\":\"What are the penalties for cheating or unauthorized materials?\",\"answer\":\"Cheating or having unauthorized exam-related materials results in disqualification without any right to claim reimbursement of the exam administration fee. Talking, whispering, looking at another candidate, or other offences are also penalized and may lead to reporting to an assessment board.\"}]","Mathematics Entrance Examination - 2019-2 | PDF"]