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Answers with no evidence of calculations will not score any marks.  \n􀁸 Write your answers in the spaces below the questions.  \n􀁸 Nothing should be removed from the exam room.  \nCandidate Name:………………………………………………………………  \nAll questions on this paper must be answered.  \nWrite the answers in the space below each question.  \nShow ALL working for each question.  \ni. John is the owner of a carpet cleaning service.  \nHe rents out his carpet cleaning equipment based on the following formula:  \nNumber of days the equipment is rented multiplied by 15 then add 25  \na) Write a formula to show how the cost would be calculated if a particular cleaner was rented out for 5 days.  \n(2)  \nb) Kaz would like to clean the carpet in his living room and he is prepared to spend 55 US Dollars on renting equipment.  \nHow many days will he be able to rent the carpet cleaner for?  \n……………………………………………days  \n(2)  \nc) To rent the carpet cleaner for n days costs T US Dollars.  \nWrite a formula, using n, for T, the cost of renting the carpet cleaner.  \n(3)  \n(Total 7 marks)  \nii. a) Write 72 as the product of its prime factors  \n(3)  \nb) Find the Highest Common Factor of 24 and 36  \n(2)  \n(Total 5 marks)  \niii. A student was doing a survey on the number of people in his town who go to the cinema.  \nThis was one of his questions on his questionnaire:  \nHow often do you go to the cinema in town? (please tick one box)  \n\n|  |  |  |\n| --- | --- | --- |\n\nA lot A little bit  \nGive two reasons why this is not a good question for the survey.  \n…………………………………………………………………………………………..  \n…………………………………………………………………………………………..  \n…………………………………………………………………………………………..  \n(2)  \nRe-write the question so that it would be more suitable for the survey the student is doing.  \n…………………………………………………………………………………………..  \n(1)  \n(Total 3 marks)  \niv. Amina, Byron and Celika are partners in a company. They share their profits in the ratio 2:3:1  \nThe profit for a whole year was 3,786 US Dollars. How much did each partner get?  \nGive your answers rounded to the nearest US Dollar  \n\n| .\u003Cbr>. |\n| --- |\n| . |\n\n(4)  \n(Total 4 marks)  \n5. The diagram below is drawn to scale.  \nB North  \nA  \n(a) Measure and write down the bearing of B from A  \n(1)  \n(b) On the diagram, draw a line on a bearing of 110º from A (1)  \n(Total 2 marks)  \n6 Work out:  \n(a)  \n(b)  \n2 ~~ ~~58 􀀎 3 ~~ ~~34  \n3 ~~ ~~45 􀁹 134  \n(2)  \n(2)  \n(Total 4 marks)  \n7. n is an integer.  \n-3 \u003C n ≤ 4  \n(a) Write down all the possible values of n.  \n(2)  \n(b) Solve:  \n10 – 2x \u003C 3 (x-2)  \n(2)  \n(Total 4 marks)  \n8. Simplify:  \n(a) (2y²z)² x 3y³z²  \n(b)  \na2 􀀎 2a   9a2 􀀐1  3a2 􀀎 a x 3a2 􀀎 7a 􀀎 2  \n(3)  \n(5)  \n(Total 8 marks)  \n9. Last year Ana spent the following:  \n30% of her salary on rent  \n2 5  \n1 4  \nof her salary on entertainment  \nof her salary on living expenses.  \nAna spent 7200 US Dollars in total.  \nShe saved the rest of her salary.  \nWork out how much money she saved.  \n(5)  \n(Total 5 Marks)","cbCaireeuijjidnW","https://ap.wps.com/l/cbCaireeuijjidnW","pdf",206390,15,"English","# Instructions\n## Candidate instructions and exam rules\n# Practice Questions\n## Algebra: rental cost formulas and solving for days\n## Number: prime factors and highest common factor\n## Statistics: survey question improvement\n## Ratio and percentages: profit sharing and rounding\n## Geometry: bearings and scale drawing\n## Arithmetic and algebraic evaluation\n## Inequalities and solving for x\n## Simplifying algebraic expressions\n## Percentages and savings calculation","[{\"question\":\"Is a calculator allowed in this entrance test?\",\"answer\":\"No calculators are allowed. Solutions must be completed without calculator use.\"},{\"question\":\"What is required for scoring on this exam?\",\"answer\":\"All working must be presented for each question, and answers without evidence of calculations will not receive marks.\"},{\"question\":\"What topics are included in the Mathematics entrance test?\",\"answer\":\"The test includes algebraic formulas, prime factors and HCF, improving survey questions, ratio-based profit sharing, bearings, inequalities, simplifying algebra, and percentage budgeting to determine savings.\"}]","SampleMathExamWIUT - Westminster International University in Tashkent March 2014 Mathematics Entrance Test | PDF",38]