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Time allowed: One hour ten minutes  \nii. Answer all questions.  \niii. No calculators are allowed.  \niv. All your working must be presented on the same page as the question. Answers with no evidence of calculations will not score 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:  \nvii. You are not allowed to leave the exam room during the examination.  \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 of exam rules and may incur a penalty. You will be given no warning; should you do any of these things you will be 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 written in pencil will not be marked.  \nx. You may not use whiteout/correction fluid. If you make a mistake, simply draw a line through the mistake with pen and continue.  \nxi. You may not borrow another student’s stationery or materials even with the consent of the invigilator.  \nxii. If your pen runs out of ink you may request a replacement from the invigilator. If any are available a replacement will be provided for you. No other stationary or materials may be provided for you by the invigilator.  \nxiii. All mobile phones and other electronic devices must be switched off and left at a place indicated by the invigilators.  \n\n| Applicant ID: |  |\n| --- | --- |\n\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 = 􀀢 \\# + x  \n\n| x | -3 | -2 | -1 | 0 | 1 | 2 | 3 |\n| --- | --- | --- | --- | --- | --- | --- | --- |\n| y |  |  |  | 0 |  |  |  |\n\n3 marks  \nb) On the grid, draw the graph of y = 􀀢 \\# + x  \nYou must choose an appropriate scale and label the axes correctly  \n4 marks Total marks for page:7  \n2. A large painting is going to be framed.  \nHere is a sketch of the wooden frame showing the internal and external lengths of the frame.  \nWhat is the area of the wood which is needed to make the frame?  \nGive your answer to 2 significant figures  \nPainting  \n1.61m 4.83m  \n1.74m  \nFrame  \n5.21m  \n3 marks  \nTotal marks for page:3  \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 6m x 8m space What is the largest surface area the pond can have?  \nUse 3.14 as the value of 􀀦  \nGive your answer to 2 decimal places with appropriate units  \n6m  \n8m  \n4 marks  \nTotal marks for page:4  \n4. Give that: a = )(, b =  , c = (- work out  \n(i) 􀀮 \\# (ii) a – b (iii)  (iiii) 0- -2-  \n(i)   1 mark  \n(ii)   2 marks  \n(iii)   2 marks  \n(iv)   2 marks  \nTotal marks for page:7  \n5. Simplify fully a) 34\\#3546()(  \n3 marks  \na) 5x + 2y = 13  \n2x + 6y = 26  \n3 marks  \nb) Write 3~~ ~~)5\\# + 36(~~ ~~\\# as a single fraction in its simplest form  \n………………  \n3 marks  \nTotal marks for page:9  \n6. The 8th hole at a famous golf course is 420m in length.  \nHow long will it 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 of \\#-n(n+1) and \\#- (n+1)(n+2) is always a square number.  \n2 marks  \nb) Show that 6~~\\#~~√6-: can be written in the form a + b√2 where a and b are integers.  \n2 marks Total marks for page:7  \n8. Work out the following and give your answer in standard from (7 x 10\\#\\# ) + (7 x 10\\#= )  \n2 marks  \n9. Find the value of the largest angle in this polygon  \nLargest angle is ………………….  \n4 marks  \nTotal marks for page:6  \n10. Find the values of c and d.  \nGive reasons for each value you find.  \nc =    \nd =    \n3 marks  \n11. y is directl","cbCaimFrlGxK1ndE","https://ap.wps.com/l/cbCaimFrlGxK1ndE","pdf",1222861,34,"English","# Instructions for candidates\n## Time allowed and required working\n## Exam rules and materials restrictions\n## Additional requirements (phones, stationery)\n# Questions\n## Question 1: Table values and graph\n## Question 2: Framing area\n## Question 3: Maximum pond surface area\n## Question 4: Given values and calculations\n## Question 5: Simplify and express as a single fraction\n## Question 6: Plan scale golf hole length\n## Question 7: Algebraic proof and surd form\n## Question 8: Standard form calculation\n## Question 9: Largest polygon angle\n## Question 10: Find c and d with reasons\n## Question 11: Direct proportion\n## Question 12: Trapezium areas","[{\"question\":\"What materials and tools are allowed during the examination?\",\"answer\":\"Calculators, dictionaries, pre-prepared notes, and electronic devices are not allowed. Answers must be written in blue or black pen, and pencil answers are not marked.\"},{\"question\":\"How should candidates present their work for full marks?\",\"answer\":\"All working must be shown on the same page as each question. Answers without evidence of calculations will not score marks.\"},{\"question\":\"What kind of mathematics topics are included in the paper?\",\"answer\":\"The paper covers graphing and tables from a linear function, geometry area and surface area, algebraic simplification and solving equations, proofs, standard form calculations, scale drawings, and angle/polygon reasoning.\"}]","Westminster International University in Tashkent - Mathematics Entrance Examination - 26th April 2018 | PDF",86]