Page 23 - 01-Yr5_Front cover-ccp.indd
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                                                                                                                          l
                                                                                         I]]  Usi..  a formula to colculate the areas, of these tiles.
                                                                                             •   W=                ~=            ~:f.I1l:410~
                                                                                            E          F   15cm  I   G  ~~   "!N  l
                                                                                                     1 scm .l 3acm  '  ~                     PAGE 41
                                                                                          30cm                            '
                                                                               !                           l     '·
                                                                               '     .   .   '.            [     ___ :..  --''-'-==
                                                                 1             ~op;rond-complete-these-stetement<;-fGr-<>GVel'iAy-.---..,.; ,
                                              ;-rn L.....t:JSelnefarmula to calculate the areas of these tiles.
                                                                                            this floor with tile E.
                                                                                             -·-- tiles are needed for the length.
                                                             B   15cm   C   15cm
                                                                                             ----- tiles are needed for the breadth.
        [I]               [g]                                        15cm  L               b  Write similar statements for covering   E  30cm x 30cm  = qoocm 2
                                                                        I
                                                                                             ---- tiles are needed altogether.
                                                                                             the floor with tile F.                                        2
        A =lx b           A =lx b                                                        liQJ   Sometimes tiles need to be cut to fit around obstacles.   Drawing diagrams   F  15cm x  15cm  = 225cm
                                                 [iJ I Explain wtiy the formula for finding the area of a square   Calculate the amount of surface these cut tiles will caver   con help ,
                            = 10cm x 5cm          l  can be written as A  = I 2.                                                 G 33cm x 33cm  = 108qcm    2
                                                                                               18cm
                            = 50 cm 2               Copy and complete these statements       mill                   33cm
                                                    for covering thew  ite wa  w1 h ! ile !I-.  ~-JF::'£~~~--=.;;2i:;J.;  f--·...............   ~I
                                                                                           22cm   •   15cm
                                                  .  ----- tiles ore needed for the length.    rn,
                                                    ----- tiles ore needed for the height.                5  cm                  ~
                                                                                              1
                                                    ----- tiles are needed altogether.
                                                                                         II1J   Write a measurement  in place of the letter
                                                 @]   Write similar statements for covering   in each of these rectangle calculations.   a  10 tiles are needed for the length.
                                                   the wall with:   '                      a  A = 5cm x 9cm   b  100cm2 = /ix 10cm   c  A=15mx8m
                                  2
        A  20cm x 20cm  = 400cm                    a tile B                                d  90 m2= 15mxb   e  72cm2=/~18cm   f  144m2 = 12 m x b,   q tiles are needed for the breadth.
                                                   b tile C             Show your workings-out
                                                  '.   c tile D.        and any diagrams                                           qo  tiles are needed altogether.
                                  2
        B  20cm x  15cm  = 300cm                   Explain your answer to c.   you draw to help you.   r  CHALLEN GE
                                                                                          •  Use the scale shown.   1 cm represents 20 cm
                                                                                          •  Draw scale diagrams of the wall on   cm r--r--r--r--1----i   b  20 tiles are needed for the length.
                                                                                                                   40
                                                                                                                        80
                                                                                                                 20
                                                                                                               0
                                                                                                                     60
                                  2
                                                                                                                          100
        C  15 cm x  15cm  = 225cm                LZJ,  The tiles are sold in packs of 12.   page 40  with tiles A,  B, C and D in place.
                                                    Work out  how many pocks of each tile you would have to buy.                    18 tiles are needed for the breadth.
                                  2              m:
        D  25cm x 20cm  = 500cm .                                                                                                  360 tiles are needed altogether.
                                                                                           ~
        A square is a rectangle whose         a  20 tiles are needed for the length.       a  18cm x 22cm  = 3q6cm   2
        sides are all the same length, so for    12 tiles are needed for the height.                                                 2        2          2
        a square A = Ix b is the same as         240 tiles are needed altogether.          b  (15cm x  15cm)- (5cm x 5cm) = 225cm -25cm = 200cm
        A = Ix I which can be written as                                                   c  (33 cm x 33 cm) - ( 17 cm x  17 cm) = 1 o8q cm 2   - 28q cm = 800 cm 2
                                                                                                                                                 2
                                              b  20 tiles are needed for the length.
        A= f2.
                                                 16 tiles are needed for the height.
                                                 320 tiles are needed altogether.
                                                                                                   2
                                              c  15 tiles are needed for the length.       a  45 cm = 5 cm x q cm                b  1 00 cm = 1 0 cm x  10 cm
                                                                                                                                          2
        15 tiles are needed for the length.      10 tiles are needed for the height.               2                                    2
         12 tiles are needed for the height.     150 tiles are needed altogether.          c  1 20 m = 1 5 m x 8 m               d  qo m = 15 m x 6 m
        180 tiles are needed altogether.         Tile D will not fit exactly on this       e  72cm = 4cm x  18cm                 f  144 m = 12 m x 12 m
                                                                                                   2
                                                                                                                                         2
                                                 height wall, so you need to 'round
                                                 up' to  10 to have enough tiles           Challenge
                                                 and then cut the tiles to shape.
                                                                                           Practical: draw scale diagrams of the wall with the tiles in place.
        [l]
        Tile A:  15 packs            Tile B: 20  packs
        Tile C: 27  packs (26 r8)    Tile D:  13 packs ( 12 r6)
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