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[null,"Level 3/4 Maths - Linear Patterns                                                                                                                                                                   Created by Mr.Lafferty@mathsrevision.com   "]
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[]
[]
[]
[]
[null,null,"Q1. A metal fence for a garden is made by joining iron bars together."]
[null,null,null,"The table shows the link between the number of sections and the number of iron bars."]
[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,{"$f":"ROUND(RAND()*(9-2)+2,0)","v":8}]
[null,null,"Number of sections (s)",null,null,null,null,null,null,null,1,null,2,null,3,null,4,null,null,null,{"$f":"AY12","v":11},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,{"$f":"ROUND(RAND()*(9-2)+2,0)","v":3}]
[null,null,"Number of iron bars (b)",null,null,null,null,null,null,null,{"$f":"AU13","v":11},null,{"$f":"AV13","v":14},null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"s",1,2,3,4,{"$f":"ROUND(RAND()*(20-11)+11,0)","v":11}]
[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,"b",{"$f":"AU12*$AU$11+$AU$10","v":11},{"$f":"AV12*$AU$11+$AU$10","v":14},{"$f":"AW12*$AU$11+$AU$10","v":17},{"$f":"AX12*$AU$11+$AU$10","v":20},{"$f":"AY12*$AU$11+$AU$10","v":41}]
[null,null,"(a)","Complete table."]
[]
[null,null,"(b)","Find a formula for calculating the number of bars (b), when you know the number of sections (s).",null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"b","=",{"$f":"AU11","v":3},"s","+",{"$f":"AU10","v":8}]
[]
[null,null,"(c)","A fence is made up by joining",null,null,null,null,null,null,null,null,{"$f":"AT18","v":110},null,"iron bars.  How many sections are in this fence.",null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null," sections",null,null,null,null,null,null,null,null,null,null,null,null,{"$f":"AU11*AU18+AU10","v":110},{"$f":"ROUND(RAND()*(40-25)+25,0)","v":34}]
[]
[]
[]
[null,null,"Q2. The sides of a bridge are constructed by joining sections."]
[null,null,null,"The sections are made of steel girders. The table shows the link between the number of sections and the number of girders."]
[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,{"$f":"ROUND(RAND()*((-1)-(-3))+(-3),0)","v":-1}]
[null,null,"Number of sections (s)",null,null,null,null,null,null,null,1,null,2,null,3,null,4,null,null,null,{"$f":"AY26","v":17},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,{"$f":"ROUND(RAND()*(9-4)+4,0)","v":8}]
[null,null,"Number of girders (g)",null,null,null,null,null,null,null,{"$f":"AU27","v":7},null,{"$f":"AV27","v":15},null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"s",1,2,3,4,{"$f":"ROUND(RAND()*(20-11)+11,0)","v":17}]
[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,"g",{"$f":"AU26*$AU$25+$AU$24","v":7},{"$f":"AV26*$AU$25+$AU$24","v":15},{"$f":"AW26*$AU$25+$AU$24","v":23},{"$f":"AX26*$AU$25+$AU$24","v":31},{"$f":"AY26*$AU$25+$AU$24","v":135}]
[null,null,"(a)","Complete the table."]
[]
[null,null,"(b)","Write down a formula for the number of girders (g), when you know the number of sections (s).",null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"g","=",{"$f":"AU25","v":8},"s","-",{"$f":"-AU24","v":1}]
[]
[null,null,"(c)","A bridge is made up by joining",null,null,null,null,null,null,null,null,{"$f":"AT32","v":207},null,"girders.  How many sections are in this bridge.",null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null," sections",null,null,null,null,null,null,null,null,null,null,null,null,{"$f":"AU25*AU32+AU24","v":207},{"$f":"ROUND(RAND()*(40-25)+25,0)","v":26}]
[]
[]
[]
[null,null,"Q3. A designer is looking at the table and seating arrangements for a large office block."]
[null,null,null,"The link between the number of tables and the number of chairs is given below."]
[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,{"$f":"ROUND(RAND()*(9-2)+2,0)","v":8}]
[null,null,"Number of tables (t)",null,null,null,null,null,null,null,1,null,2,null,3,null,4,null,null,null,{"$f":"AY40","v":13},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,{"$f":"ROUND(RAND()*(5-2)+2,0)","v":3}]
[null,null,"Number of chairs (c)",null,null,null,null,null,null,null,{"$f":"AU41","v":11},null,{"$f":"AV41","v":14},null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"t",1,2,3,4,{"$f":"ROUND(RAND()*(20-11)+11,0)","v":13}]
[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,"c",{"$f":"AU40*$AU$39+$AU$38","v":11},{"$f":"AV40*$AU$39+$AU$38","v":14},{"$f":"AW40*$AU$39+$AU$38","v":17},{"$f":"AX40*$AU$39+$AU$38","v":20},{"$f":"AY40*$AU$39+$AU$38","v":47}]
[null,null,"(a)","Complete table."]
[]
[null,null,"(b)","Find a formula for calculating the number of chairs (c), when you know the number of tables (t).",null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"c","=",{"$f":"AU39","v":3},"t","+",{"$f":"AU38","v":8}]
[]
[null,null,"(c)","Given we have",null,null,null,null,{"$f":"AU46","v":38},null,"tables.  How many chairs do we have.",null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"chairs",null,null,null,null,null,null,null,null,null,null,null,null,{"$f":"AU39*AU46+AU38","v":122},{"$f":"ROUND(RAND()*(40-25)+25,0)","v":38}]