Mathematics Higher Level Robert Joinson

©Sumbooks 2002Higher Level54. FormulaeExercise 1In each of the questions below, taking l, b, h, r and d to be length, classify each of thefollowing formulae into length, area, volume or those making no sense.1) 4( r 2 + lb) 2) 3( l + d)b 3) π( l + b) 4) 3bd + c5) 3( l × b) 6) 3b( l+h)3( l + 2b)l 2 + b 27) ---------------------8) ---------------2r9) 5 r 2 + h 210) 2lbh 11) 3lr 2 12) 5b 2 ( l + h)13) 4b 2 + r14) 5bd ( 2 + c) 15) 6( l + b)11bdh16) -- ( l + b)17) -- ( bh)18) --------22319) a 2 bd + e20) d ab+ lr21) a 2 b+lrdExercise 21) For the diagram shown on the right, choose one of theformulae listed below that you think best suits a) its areaand b) its perimeter1(i) a+ b+ c+1.3d(ii) --a 2 b3bc ( + a)(iii) ------------------- (iv) abcd21( a+ b + c)(v) --abc(vi) -------------------------22adbc2) For the diagram shown below, choose one of the formulae listed underneath you think bestsuits a) the area of the shaded end and b) its volume.bdcae111(i) --abc(ii) -- ( ac – de)(iii) -- ( ab 2 c)222(iv) a 2 b–bc(v) ⎛ac– de----------------- ⎞ b (vi) abc⎝ 2 ⎠