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{"sheet":"Mixed_Pythagoras_Theorem","index":0,"n_rows":55,"n_cols":52,"rows_kept":55,"cut":false,"hidden":false,"merged":[[24,8,24,9],[24,12,24,13],[37,21,37,22],[43,23,43,24],[1,1,5,42],[10,23,10,24],[11,6,11,7],[20,23,20,24],[21,6,21,7],[50,23,50,24],[30,23,30,24],[40,23,40,24],[47,13,47,14],[17,11,17,12],[17,15,17,16]]}
[]
[null,"N5 Lifeskills - Pythagoras Theorem                                                                                                                                                                                                   Created by Mr.Lafferty@mathsrevision.com    "]
[]
[]
[]
[]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,{"$f":"N15-L10","v":7},{"$f":"G12","v":10}]
[null,"Q1.","A banner is to be edged all round with gold braid.",null,null,null,null,null,null,null,null,null,null,null,null," The banner is in the shape of a rectangle with an isosceles triangle,",null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"as shown in the diagram.",null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,{"$f":"G12/2","v":5},{"$f":"L10","v":13}]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null," Calculate the total length of gold braid needed.",null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,{"$f":"POWER((AY7*AY7+AY8*AY8),0.5)*2","v":17.204650534085253},{"$f":"L10","v":13}]
[null,null,null,null,null,null,null,null,null,null,null,{"$f":"ROUND(RAND()*(17-10)+10,0)","v":13},"cm",null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,{"$f":"AY9","v":17.204650534085253}]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"Answer",null,null,null,null,"cm","( to 1 d.p.)",null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,{"$f":"ROUND(SUM(AZ7:AZ10),1)","v":53.2}]
[null,null,null,null,null,null,{"$f":"N15*0.5","v":10},null,"cm",null,null,null,null,null,null,null,null,null,null,null,null,null,"( Marks 5 RE )"]
[]
[]
[null,null,null,null,null,null,null,null,null,null,null,null,null,{"$f":"ROUND(L10*3/2,0)","v":20},"cm"]
[]
[]
[null,"Q2.","A rectangular picture measuring ",null,null,null,null,null,null,null,null,{"$f":"ROUND(RAND()*(60-50)+50,0)*10","v":540},{"$f":"ROUND(RAND()*(17-10)+10,0)","v":12},"mm","by",{"$f":"ROUND(RAND()*(25-13)+13,0)*10","v":200},{"$f":"ROUND(RAND()*(17-10)+10,0)","v":11},"mm","is placed diagonally in a cuboid shaped box as shown."]
[]
[]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"Answer",null,null,null,null,"mm","( to 1 d.p.)",null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,{"$f":"ROUND(POWER((L18*L18-I25*I25),0.5),1)","v":103.4}]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"( Marks 3 RE )"]
[]
[]
[null,null,"The box has length ",null,null,null,null,null,{"$f":"L18-(ROUND(RAND()*(4-1)+1,0)*10)","v":530},{"$f":"ROUND(RAND()*(17-10)+10,0)","v":10},"mm","by",{"$f":"P18","v":200},null,"mm",null,null,"Calculate the height of the box."]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,{"$f":"ROUND(RAND()*(2-1)+1,0)","v":1}]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,{"$f":"IF(AY26=1,3,2)","v":3},{"$f":"ROUND(RAND()*(20-1)+1,0)*AY27","v":42}]
[null,"Q3.","The diagram below show the position of three towns, Torrance, Lennoxtown and Campsie.",null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"Calculate the distance between Torrance and Campsie.",null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,4,{"$f":"AZ27/AY27*AY28","v":56}]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"L",null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,5,{"$f":"AZ27/AY27*AY29","v":70}]
[]
[null,null,null,null,null,null,null,null,{"$f":"ROUND(RAND()*(9-5)+5,0)","v":9},"km",null,null,null,null,null,null,{"$f":"I31-ROUND(RAND()*(3-1)+1,0)","v":6},"km",null,null,"Answer",null,null,null,null,"km","( to 1 d.p.)",null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,{"$f":"ROUND(POWER((I31*I31+Q31*Q31),0.5),1)","v":10.8}]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"( Marks 3 KU )"]
[]
[null,null,null,null,"T",null,null,null,null,null,null,null,null,null,null,null,null,"C"]
[]
[]
[]
[null,"Q4.","A wall display unit is in the shape of an equilateral triangle with sides",null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,{"$f":"ROUND(RAND()*(65-48)+48,0)","v":57},{"$f":"ROUND(RAND()*(50-20)+20,0)","v":42},"cm",".   One half of the cabinet has shelves; the other half has a glass door.",null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,{"$f":"V38","v":57}]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,{"$f":"AZ38/2","v":28.5}]
[]
[null,null,null,null,null,null,null,null,null,"(a) Calculate the height of the cabinet.",null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"cm","( to 1 d.p.)",null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,{"$f":"ROUND(POWER((AZ38*AZ38-AZ39*AZ39),0.5),1)","v":49.4}]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"( Marks 4 KU )"]
[]
[null,null,null,null,null,null,null,null,null,"(b) Find the area of the glass door.",null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"cm2","( to 1 d.p.)",null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,{"$f":"ROUND(0.5*0.5*AZ41*AZ38,1)","v":704}]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"( Marks 2 KU )"]
[]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,{"$f":"N48","v":5}]
[null,"Q5.","Bellshill and Hamilton are two small towns ",null,null,null,null,null,null,null,null,null,null,{"$f":"ROUND(RAND()*(8-5)+5,0)","v":5},{"$f":"ROUND(RAND()*(12-8)+8,0)","v":10},"km","apart.",null,"A by-pass is being built to reduce the traffic passing through the two towns,",null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,{"$f":"ROUND(POWER((E55*E55+H52*H52),0.5),1)","v":6.7}]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"Calculate the total length of the by-pass.",null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,{"$f":"ROUND(POWER((N55*N55+H52*H52),0.5),1)","v":8.5}]
[]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"km","( to 1 d.p.)",null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,{"$f":"ROUND(AZ49+AZ48+AZ47,1)","v":20.3}]
[null,null,null,null,null,null,null,{"$f":"ROUND(RAND()*(4-2)+2,0)","v":3},"km",null,null,null,null,null,null,null,null,null,null,null,null,null,"( Marks 4 RE )"]
[]
[null,null,null,null,null,null,"B",null,null,null,null,null,"H"]
[null,null,null,null,{"$f":"ROUND(RAND()*(7-4)+4,0)","v":6},"km",null,null,null,null,null,null,null,{"$f":"ROUND(RAND()*(12-8)+8,0)","v":8},"km"]