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Students are assessed on algebraic functions and graphs, including completing value tables and drawing y=x^2+x, plus numerical and geometry problems such as areas of frames, ponds, and scaled plans. The test also includes simplification, solving inequalities, proportional reasoning, proof questions, standard form calculations, and polygon angle finding. 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Time allowed:One hour ten minutes  \nii.  Answer all questions.  \nb)On the grid,draw the graph of y=x²+x  \niii.  No calculators are allowed.  \nYou must choose an appropriate scale and label the axes correctly  \niv.  All your working must be presented on the same page as thequestion.Answers with no evidence of calculations will notscore any marks.  \nV.  Write your answers in the spaces below the questions.  \nvi.  Nothing should be removed from the exam room.  \nPlease note the additional requirements:  \nviii.  You are not allowed to talk,to whisper,to turn around,use any pre-prepared notes,calculators,dictionaries or to look at another candidate's examination papers,all of which are considered violation ofexam rules and may incur a penalty.You will be given no waning;should you do any of these things youwillbe reported to the Assessment Board for penalty application.  \nix.  You may use non-erasable blue or black pen to write your answers including graphs.Any answers writtenin pencil will not be marked.  \nx.  You may not use whiteout/correction fluid.If you make a mistake,simply draw a line through the mistakewith pen and continue.  \nxii.  If your pen runs out of ink you may request a replacement from the invigilatorIf any are available areplacement willbe provided for you.No other stationary or materials may be provided for you by theinvigilator.  \nxiii  AIl mobile phones and other electronic devices must be switched off and left at a place indicated by theinvigilators.  \n\n| Applicant ID:   |  |\n| --- | --- |\n\nand t.me/mathclub_bot  \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)Complete the table of values for y=x²+x  \n\n| X   | -3   | -2   | -1   | 0   | 1   | 2   | 3   |\n| --- | --- | --- | --- | --- | --- | --- | --- |\n| y   |  |  |  | 0   |  |  |  |\n\n3 marks  \nodel solutions,visit t.me/westernuz  \nvii.  You are not allowed to leave the exam room during the examination.  \nxi.   You may not borrow another student's stationery or materials even with the consent of the invigilator.  \n2.A large painting is going to be framed.  \nHere is a sketch of the wooden frame showing the internal and external lengths ofthe frame.  \nWhat is the area of the wood which is needed to make the frame?Give your answer to 2 significant figures  \nand t.me/mathclub  \n5.21m  \nfor model solutions,visit t.me/westernuz  \n3.Mr Gorkhan wants to build a pond in his back garden.  \nThe pond is going to be circular (round).It must fit into a 6mx8m space  \nWhat is the largest surface area the pond can have?Use 3.14 as the value of π  \nGive your answer to 2 decimal places with appropriate units  \n6m  \n8m  \n4.Give that:  \n(i)  a²  \n5.Simplify fully  \nwork out  \n(ii)a-b  \n三  \nand t.me/mathclub bot  \na)5x+2y=13  \n2x+6y=26  \nVisit t.me/westernuz  \n(i)……………1 mark  \nOUS,  \nii)……   ……2 marks  \n(ii)……     …2 marks  \n(iv)……………2 marks  \n3 marks  \n3 marks  \n6.The 8hole at a famous golf course is 420m in length.  \nand t.me/mathclub_bot  \nHow long willit appear on the plan of the course which has a scale of 1:8000?  \n3 marks  \n7.  \na)n is an integer.  \nProve algebraically that the sum ofand)is always a squarenumber.  \n2 marks  \nb)Show that·can be written in the form a+b√2 where a and b are integers.  \n8.Work out the following and give your answer in standard from  \n(7×10²2)+(7×10²0)  \n2 marks  \n9.Find the value of the largest angle in this polygon  \nLargest angle is …………    …  \n10.Find the values of cand d.Give reasons for each value you find.  \n2 marks  \nb)What would be the area of a similar trapezium with a base of 10.5 cm?Give your answer to the nearest whole cm²  \n11.y is directly proportional to xy=2 when x=5Find y when x=6  \nand t.me/mathclub bot  \nd=4(2p-3q)  \n2 marks  \ne/westernUZ  \n2 marks  \nc)Given that xis an integer,write down the possible values of x  \nVis  \nmode","cbCaifWVxEpt3F2X","https://ap.wps.com/l/cbCaifWVxEpt3F2X","pdf",728967,"English","# Mathematics Entrance Examination\n## Instructions and rules\n## Questions 1-16","[{\"question\":\"How long is the mathematics entrance examination and what is required in the answers?\",\"answer\":\"The time allowed is one hour ten minutes. All questions must be answered and all working must be shown in the spaces provided for each question.\"},{\"question\":\"Are calculators allowed, and what writing tools are permitted?\",\"answer\":\"Calculators are not allowed. Answers must be written in non-erasable blue or black pen; pencil answers are not marked and no correction fluid is allowed.\"},{\"question\":\"What exam conduct is forbidden during the test?\",\"answer\":\"Students may not leave the exam room, talk or whisper, use pre-prepared notes, dictionaries, or look at other candidates’ papers. Mobile phones and other electronic devices must be switched off and left with the invigilators.\"}]","Westminster International University in Tashkent - Mathematics Entrance Examination - 26th April 2018 | PDF",18]