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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. 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.  \nFind the area of this shape. (All sides are in centimetres)  \n(4 marks)  \n2.  \nFind the angle 􀝔  \n(3 marks)  \n3.  \nA right triangle is shown below. Find the lengths x, y and z.  \nB  \n12 9  \nC  \nA  \ny x  \nD  \n(5 marks)  \n4.  \na) Simplify  \n23􀯡−4 ∙ 23+4􀯡  \n22+􀯡  \n(3 marks)  \nb) Make z the subject of the formula  \n􀝔 =  \n5.  \nCalculate  \n􀜣􀝖 + 3  \n7 − 􀜣􀝐  \n(3 marks)  \n4 + √8 4 − √8  \n~~   ~~ −  \n4 − √8 4 + √8  \n6. Solve the simultaneous equations  \n{ 34􀝔􀝔  59􀝕􀝕  −892  \n(4 marks)  \n7. Solve the equation  \n5􀝔~~ ~~6 = 1 − 4~~ ~~8􀝔  \n(3 marks)  \n8. Solve the equation  \n2􀯫+1 = 8 + 2􀯫  \n(3 marks)  \n9.  \nABCDEF is a regular hexagon with centre G. The position vectors of A, B and C relative to an origin point O are a, b and c respectively.  \nc B  \nb  \nO a  \nC D  \nE  \nA F  \na) Express OG in terms of vectors a , b and c.  \n(3 marks)  \nb) Express CD in terms of vectors a , b and c.  \n10.  \na) Identify which term is number 110 of given arithmetic progression  \n10, 14, 18 ,    \n(4 marks)  \nb) Determine r (the ratio) and 􀜽 7 (7th term) of the following geometric sequence:  \n81, -27, 9,    \n(4 marks)  \n11.  \nShare prices rise by 28 % during the first half of the year and rise by further 15 % during the second half. What is the overall percentage change?  \n(4 marks)  \n12.  \nA plank of wood 5 m long, 20 cm wide and 10 cm thick weights 640 kg. What will bethe weight of another plank of wood which is 8 m long, 20 cm wide and 5 cm thick?  \n(5 marks)  \n13. Using completing the square, solve the following quadratic equation  \n−􀝔2 − 4􀝔 + 2 = 0  \n14. Simplify  \n􀝏~~ ~~1􀝅􀝊~~ ~~􀝊􀜿2􀝋􀝔􀝏􀝔 − 􀜿􀝋􀝏􀝔  \n15. a) Find the equations of the following line  \nb) Find the equation of the following quadratic function  \n(6 marks)  \n(5 marks)  \n2 marks  \n3 marks  \nEND OF TEST","cbCaipn0iaIayNJ9","https://ap.wps.com/l/cbCaipn0iaIayNJ9","pdf",489353,"English","# Exam Instructions\n## Rules and Disqualification Conditions\n## Exam Logistics and Security Checks\n# Question Paper\n## Geometry and Trigonometry\n## Algebra and Functions\n## Simultaneous Equations and Sequences\n## Vectors and Geometry\n## Percentage Change and Measurement Problems","[{\"question\":\"What are the key rules applicants must follow during the online mathematics exam?\",\"answer\":\"Applicants must answer all questions, type answers in the spaces provided, and show working for every stage. Calculators are not allowed, and prohibited communication or unauthorized materials lead to disqualification.\"},{\"question\":\"What equipment and conditions are required to take the exam online?\",\"answer\":\"A computer with a high-speed internet connection and stable electricity is required. The exam cannot be taken on a mobile phone.\"},{\"question\":\"What actions can cause automatic disqualification and a score of 0?\",\"answer\":\"Leaving the room, talking/whispering/turning around, having unauthorized materials, cheating, failing to show pockets or containers, or having a mobile phone/electronic device on the table or switched on/off can result in disqualification.\"}]","Online Mathematics Entrance Examination - Test 8 - 2020 - Instructions | PDF",15]