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The instructions emphasize no calculators, required show of working, typed answers in provided spaces, and strict academic integrity rules including disqualification for leaving the room, unauthorized materials, cheating, or electronic devices. A stable high-speed internet connection on a computer is mandatory. 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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 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.  \nWorking must be shown for all stages of the questions.  \n1. Write down the prime factors of 273  \n2 marks  \n2. A film reel runs at 1 78 cm per second  \na) Work out the length of reel played in 2 12 seconds. Give your answer as a mixed number  \n2 marks  \nb) Work out how long it takes for 938 cm of reel to be played.  \n2 marks  \n3. Ann wants to make a mug in the shape of a cylinder on a 3D printer. The volume must be 510 cm3 and the height must be 9.6 cm. Ann needs to workout the radius in centimeters.  \na) Taking 􀟨 = 3.14 , calculate the value of the radius correct to the nearest whole number.  \n…………………………………. .  \n3 Marks  \nb) Given that A = 24 x 33 x 5and B = 23 x 3 x 52 write down, as a product of powers of its prime factors,  \n(i) The highest common factor (HCF) of A and B  \n(ii) The Lowest Common Multiple (LCM) of A and B  \n  2 marks  \n4 In the USA and in the UK petrol is sold in gallons (1 gallon = 4.55 litres) . The petrol tank of a car holds 6 gallons when it is 80% full.  \nWhat is the capacity of the petrol tank in litres?  \n3 marks  \n5 a) Solve the equation  \n(􀯫+1) (2􀯫+1)  \n~~ ~~ - ~~ ~~ = 1  \n2 3  \n2 marks  \nb) Simplify  \n􀝔 2 − 3􀝔 − 􀝔􀝕 + 3􀝕  \n􀝔 2 − 9  \n2 marks  \nc) In a physics experiment there are three variables: u, v and f.  \nThey are found in the formula f =  􀯨􀯩  Make v the subject of the formula  \n􀯨+􀯩 .  \n2 marks  \n6. Here are the equations of several straight lines.  \nA y = -x + 7 B 2y = x-7 C 4x + 12y = 5  \nD x + 3y = 10 E y = x-3 F y = 5 – 5x  \nG 5x + y = 12 H y = 3 – 2x I y = 2x + 4  \na) Find two pairs of lines which are parallel  \n……………………………………2 marks  \n…………………………………..2 marks  \nb) Find two pairs of lines which are perpendicular (at right angles)   2 marks   2 marks  \nc) Find one line which is not parallel or perpendicular to any other line   2 marks  \n7. A ship travels at a speed of 20 km/h in still water (not moving water) . When thereis a ","cbCaidjqGV6I6j18","https://ap.wps.com/l/cbCaidjqGV6I6j18","pdf",640431,"English","# Exam Instructions\n## Eligibility, Equipment, and Disqualification Rules\n## Answer Format and Technical Requirements\n# Practice Questions\n## Number Theory and Fractions\n## Equations and Algebraic Manipulation\n## Geometry and Measurement\n## Word Problems: Ratios, Percentages, and Proportions","[{\"question\":\"Are calculators allowed in this online mathematics entrance examination?\",\"answer\":\"No calculators are allowed. Answers must be supported with evidence of calculations.\"},{\"question\":\"What happens if an applicant leaves the room or uses unauthorized materials?\",\"answer\":\"The applicant is automatically disqualified, receives a score of 0, and the exam administration fee is not reimbursed.\"},{\"question\":\"What technical requirement must the applicant meet to take the exam online?\",\"answer\":\"A computer connected to high-speed Internet and stable electricity is required; taking the exam on a mobile phone is not allowed.\"}]","ONLINE MATHEMATICS ENTRANCE EXAMINATION - Test 3 2020 - Exam Instructions and Practice Questions | PDF",18]