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Geometry and co-ordinate work cover interior angles of a regular pentagon, triangle height from side lengths, and drawing a circle and a straight 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for each question.  \n1.Work out  \na)  \nb)  \nc)  \nN  \n(2 marks)  \n(2 marks)  \n2.a)The price of a motorbike increases by 10%to $2000.Find the price beforethe increase.Round your answer to the nearest whole dollar($)  \n(2 marks)  \nb)A new car falls in value by 40%in a year.After a year,it's worth $9600.Find the price of the car when it was new.  \n5  \n(2 marks)  \nc)A packet of breakfast cereals is advertised as having '20%extra cereal.If it now contains 1.32kg what would the original pack contain?  \n3.Maria bought a watch in the United States of America.Maria paid $108.  \nArtur bought an identical (same)watch in Germany.Artur paid€117.  \nThe exchange rate is  \n£1=$1.44  \n£1=€1.6  \nCalculate in pounds(E)the difference between the prices paid for the two watches.Round your final answer to the nearest 1 pence (2 decimal places).  \n(  \n(  \n4.  \na)Find the next two numbers in the sequence 2,8,18,32,,  \nb)Find the nth term of the sequence-2,2,6,10  \n# (2marks)\n\nC  \nO  \nN  \n### (3 marks)\n\na)Using trial and improvement find the value of xto 1 decimal place wherex³-2x=24  \n…………………  \n## ◆(6 marks)\n\nb)Find xwhere  \nnin ste  \n(4 marks)  \n## c)Solve this pair of simultaneous equations.\n\n7x-6y=17  \n2x+3y=19  \n6.  \n## a)Simplify 5w⁷×3w⁵\n\n(2 marks)  \nb)Simplify 16h⁶÷2h³  \nin ste r  \n(2 marks)  \n## c)What is the value of 2j²+j when j=3?\n\ntS  \n.  \nN  \n(1 mark)  \n## 7.a)The sketch below shows a regular pentagon.\n\nCalculate the sum of the interior angles of a regular pentagon.  \n…………  ……  \n## (3 marks)\n\nb)An isosceles triangle has a base of 12cms and sides of length 10cms.What is the height of the triangle?  \nNOT DRAWN TO SCALE  \nmin  \nside 10cm  \n5  \nbase 12 cm  \n(3 marks)  \n## (Total 6marks)\n\n8.  \n## a)Draw the curve of x²+y²=25(3 marks)\n\nb)Use the same axes and draw the line of 3x+2y-5=0.  \n(3 marks)  \n\n|  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |\n| --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- |\n|  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |\n|  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |\n|  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |\n|  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |\n|  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |\n|  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |\n|  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |\n|  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |\n|  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |\n|  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |\n|  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |\n|  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |\n|  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |\n|  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |\n|  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |","cbCaiuiOehcLpzDx","https://ap.wps.com/l/cbCaiuiOehcLpzDx","pdf",396487,"English","# Questions\n## Number sequences and algebra\n## Equations and geometry","[{\"question\":\"How are the answers expected to be presented on this paper?\",\"answer\":\"All questions must be answered in the space below each question, with ALL working shown for each question.\"},{\"question\":\"What kinds of mathematical topics are covered?\",\"answer\":\"The paper covers percentage calculations, currency exchange, number sequences, indices simplification, trial-and-improvement equations, simultaneous equations, triangle and polygon angle/height problems, and coordinate graph drawing.\"},{\"question\":\"How is the value of x in the trial and improvement question determined?\",\"answer\":\"Trial and improvement is used to find x, rounded to 1 decimal place, for the equation involving x³ - 2x = 24.\"},{\"question\":\"Which equation-solving method is used for the simultaneous equations question?\",\"answer\":\"The question asks to solve the given pair of simultaneous linear equations: 7x - 6y = 17 and 2x + 3y = 19.\"}]","August 2015 from wiut.uz - Question Paper | PDF",15]