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Prepared By Mr Seelan                                                           3cm
Hp: 90691139
Home use only
                                                                                3cm


                                                                                3cm
                                                                                      15 cm
                                                                                3cm


                                                                                3cm



             52 more cubes
                                            3cm    3cm 3cm         3cm
                                                     12cm
    Needed =            5 + 11 + 12 + 12 + 12                                = 52 more cubes

                   Mark out theFirstrd layer needsaddcubescubes each
                      Similarly,Mark out th layersneeds 12first the height
                              2nd3 and 5 need to required for
                                remaining layerare needed
                                4thlayer needdimensionscubes
                                52 more the to 12 11cubes
                                     layer cubes add 5
x                                                           4 parts = 12 units
                    9
                    3                                                      1 part =   3 units
                        x3       x                              y
                             1 x3
                             3                                             5 parts = 15 units

                                                                                   3 +      12




                                             3            Shaded Area of Y : Total area of figure

                                             z                      3       :    3 + 12 + 9 +5
                                             5                      3       :    29
Prepared By Mr Seelan
Hp: 90691139
Home use only                                z
                         Divide 15 unitsArea 3 isYto 3 and29 units parts
                              Shaded is 3whole unshadedthe 5 parts
                                Make both shaded 29 is unshaded
                                 Area ofinto of figure
                                        1 part, = units is 3
                                             shaded units same
2
  The height of triangle AEC is 3 times the height of triangle ADC. The shaded area is 34 cm
  Find the length of the base AC.                           E
                                                               2cm
                                                        2
                                                 34cm
                                                   D           2cm6cm Divide this into 3 units

                                                       2cm     2cm
            A                                                        C
                                                   B
                                      17cm
       Height of triangle ADC = 6cm ÷ 3        = 2cm
                                                                         Area = 1 unit
    Area of triangle ADC = 1 x Base x Height
                             2
                      17 = 1 x AC x 2 cm                                    2
                           2                                 2 units = 34 cm2
                      AC = 17 cm                             1 unit = 34 cm     ÷ 2
                         Area = 3units                                      2
                                                                    = 17 cm
 Prepared By Mr Seelan
 Hp: 90691139
 Home use only
DB ismanyAEC2cm the shadedof ADC. So area=of AEC is also 3 times that of ADC.
How equalunits is times that area?
Shaded of to is units
 Height area is 2 3                   AC 17 cm
2
                                                                                                      = 36cm

                                                                        At first        5u        :   2u

                                                                               - Area   R             S       - Area

                   3P
                    5u
                                                                                        3         :   1
                                                                                         p                p
                                CUT          9cm 2            CUT

                                                                                        6cm
                                                                  1P
                                                                   2u

        CUT18
        u
       u 18
                                                                  6cm                                2
 3p    u 18                                            Area of rectangle at first = 6cm x 6cm = 36cm
              2p CUT 18
       u 18         u                                                    2 u = 36 cm 2                   2
       u  18        u 18 1p                                              1 u = 36 cm 2 ÷ 2 =18cm
                                          2 p = 18 cm 2 X 3                       36 cm 2
    Rectangle     Square
                                               = 54cm   2                                     -  27 cm 2
Prepared By Mr Seelan
                                           1 p = 54cm 2 ÷ 2 = 27cm 2              2               =9cm2
Hp: 90691139
Home use only  AfterCut the Separate theRectanglethe3cm–squareandunits 1 part
                     shadedshaded cut, 5 = AreaisAreapartssquarethe end
                      Area ofareaAfter of for bothatand of squareSquare
                       Area of rectangle square , isfirstthe and 2 square
                              shaded partrectangle 36 rectangle in
                                  is area units              Area
X = 1 unit, rectangle A = 8 units   Prepared By Mr Seelan
                                                                      Hp: 90691139
                                                                      Home use only
                                  X = 1 unit, rectangle B = 6 units



                                                   3 boxes = 9cm       2 boxes = 4cm
                                                   1 box = 9cm ÷ 3     1 box = 4cm ÷ 2
           8       7       6       5                     = 3cm               = 2cm
             2        2    2         2
         6 cm     6 cm 6 cm      6 cm                  Area of small rectangle =3cm x 2cm
                                                                                      2
                                                                3cm            = 6 cm
           4       3       2      1        2       3 9cm
             2    2          2
    A
         6 cm 6 cm       6 cm     x           2      2
                                          6 cm 1 6 cm 2          3

                                   4       5
                                                x6          2
                                                       6 cm 6 cm
                                                                   2     2cm
                                      2         2           2          4cm
                                  6 cm      6 cm 4 6 cm 5         6
                                                        2       2    2
                                                 6 cm 6 B B   cm 6 cm
                                          2                             B
Area of unshaded part = 12 boxes x 6 cm
                              2
                       = 72 cm
                                                                                     2
   Raffles SA1 2010
    5/23/2012                     Mr Seelan     Ans : Area of unshaded part is 72 cm
                                               Hp: 90691139                         5
Total boxes = 15 boxes
                              Make all boxes $540equal size
                               15 boxes = into
Henry Park SA1 2009           Extend the= $540boxes to make the same size as the big boxes
                                1 box    small ÷ 15
                                        = $36
                                                          Ans: a) The badminton racket cost $21

                                                                    Ans: b) The tennis racket cost $342
                 $36               1 badminton racket cost = $36 -$15
Badminton       $21 $15
                 ?                                          = $21
                                            1 badminton racket
racket            1                1 Tennis racket cost = $57 x 6
                                                            = $342
                                                              2 soccer balls
                                              1 soccer ball
Soccer Ball       2            3                                                         1 tennis racket
                                                                                    $435+$15+$15+$15
                      $15          $15         $15       $15     $15     $15        +$15 +$15 +$15+$15
  Tennis          4           5
                            $21            6
                                         $21         $21 $15 $21
                                                       7       8       9
                                                                     $21
                                                                                    = $540
   racket
                             $36         $36         $36      $36        $36
                 10           11          12          13      14          15
    5/23/2012               $57       $57Mr Seelan Hp: 90691139
                                                 $57       $57          $57       $57             6
                1 time      2 times 3 times 4 times 5 times            6 times
June = 3 boxes
                                          same                                                      Amy = 7 boxes
              $60
                                    $20   same
              $60
Divide this into 3 boxes                                         Divide this into 3 boxes    3 boxes = $180
                                                                                             1 box = $180 ÷ 3 boxes
                                                                                                     = $60


                                                                                            3 small boxes = $60
                                    $60                                                     1 small box = $60 ÷ 3 boxes
                                                                                                         = $20
                                    $60          $180

                                    $60
                                                                     Amy and Susan each pay = $60 + $20

                           Susan                                                                             = $80
                                           June          Amy
                                   Prepared By Mr Seelan
                                   Hp: 90691139 Home use only                                    Ans: $80 each
 Raffles SA2
     5/23/2012              2010                 Mr Seelan   Hp: 90691139                                            7
animathsolution

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animathsolution

  • 1. Prepared By Mr Seelan 3cm Hp: 90691139 Home use only 3cm 3cm 15 cm 3cm 3cm 52 more cubes 3cm 3cm 3cm 3cm 12cm Needed = 5 + 11 + 12 + 12 + 12 = 52 more cubes Mark out theFirstrd layer needsaddcubescubes each Similarly,Mark out th layersneeds 12first the height 2nd3 and 5 need to required for remaining layerare needed 4thlayer needdimensionscubes 52 more the to 12 11cubes layer cubes add 5
  • 2. x 4 parts = 12 units 9 3 1 part = 3 units x3 x y 1 x3 3 5 parts = 15 units 3 + 12 3 Shaded Area of Y : Total area of figure z 3 : 3 + 12 + 9 +5 5 3 : 29 Prepared By Mr Seelan Hp: 90691139 Home use only z Divide 15 unitsArea 3 isYto 3 and29 units parts Shaded is 3whole unshadedthe 5 parts Make both shaded 29 is unshaded Area ofinto of figure 1 part, = units is 3 shaded units same
  • 3. 2 The height of triangle AEC is 3 times the height of triangle ADC. The shaded area is 34 cm Find the length of the base AC. E 2cm 2 34cm D 2cm6cm Divide this into 3 units 2cm 2cm A C B 17cm Height of triangle ADC = 6cm ÷ 3 = 2cm Area = 1 unit Area of triangle ADC = 1 x Base x Height 2 17 = 1 x AC x 2 cm 2 2 2 units = 34 cm2 AC = 17 cm 1 unit = 34 cm ÷ 2 Area = 3units 2 = 17 cm Prepared By Mr Seelan Hp: 90691139 Home use only DB ismanyAEC2cm the shadedof ADC. So area=of AEC is also 3 times that of ADC. How equalunits is times that area? Shaded of to is units Height area is 2 3 AC 17 cm
  • 4. 2 = 36cm At first 5u : 2u - Area R S - Area 3P 5u 3 : 1 p p CUT 9cm 2 CUT 6cm 1P 2u CUT18 u u 18 6cm 2 3p u 18 Area of rectangle at first = 6cm x 6cm = 36cm 2p CUT 18 u 18 u 2 u = 36 cm 2 2 u 18 u 18 1p 1 u = 36 cm 2 ÷ 2 =18cm 2 p = 18 cm 2 X 3 36 cm 2 Rectangle Square = 54cm 2 - 27 cm 2 Prepared By Mr Seelan 1 p = 54cm 2 ÷ 2 = 27cm 2 2 =9cm2 Hp: 90691139 Home use only AfterCut the Separate theRectanglethe3cm–squareandunits 1 part shadedshaded cut, 5 = AreaisAreapartssquarethe end Area ofareaAfter of for bothatand of squareSquare Area of rectangle square , isfirstthe and 2 square shaded partrectangle 36 rectangle in is area units Area
  • 5. X = 1 unit, rectangle A = 8 units Prepared By Mr Seelan Hp: 90691139 Home use only X = 1 unit, rectangle B = 6 units 3 boxes = 9cm 2 boxes = 4cm 1 box = 9cm ÷ 3 1 box = 4cm ÷ 2 8 7 6 5 = 3cm = 2cm 2 2 2 2 6 cm 6 cm 6 cm 6 cm Area of small rectangle =3cm x 2cm 2 3cm = 6 cm 4 3 2 1 2 3 9cm 2 2 2 A 6 cm 6 cm 6 cm x 2 2 6 cm 1 6 cm 2 3 4 5 x6 2 6 cm 6 cm 2 2cm 2 2 2 4cm 6 cm 6 cm 4 6 cm 5 6 2 2 2 6 cm 6 B B cm 6 cm 2 B Area of unshaded part = 12 boxes x 6 cm 2 = 72 cm 2 Raffles SA1 2010 5/23/2012 Mr Seelan Ans : Area of unshaded part is 72 cm Hp: 90691139 5
  • 6. Total boxes = 15 boxes Make all boxes $540equal size 15 boxes = into Henry Park SA1 2009 Extend the= $540boxes to make the same size as the big boxes 1 box small ÷ 15 = $36 Ans: a) The badminton racket cost $21 Ans: b) The tennis racket cost $342 $36 1 badminton racket cost = $36 -$15 Badminton $21 $15 ? = $21 1 badminton racket racket 1 1 Tennis racket cost = $57 x 6 = $342 2 soccer balls 1 soccer ball Soccer Ball 2 3 1 tennis racket $435+$15+$15+$15 $15 $15 $15 $15 $15 $15 +$15 +$15 +$15+$15 Tennis 4 5 $21 6 $21 $21 $15 $21 7 8 9 $21 = $540 racket $36 $36 $36 $36 $36 10 11 12 13 14 15 5/23/2012 $57 $57Mr Seelan Hp: 90691139 $57 $57 $57 $57 6 1 time 2 times 3 times 4 times 5 times 6 times
  • 7. June = 3 boxes same Amy = 7 boxes $60 $20 same $60 Divide this into 3 boxes Divide this into 3 boxes 3 boxes = $180 1 box = $180 ÷ 3 boxes = $60 3 small boxes = $60 $60 1 small box = $60 ÷ 3 boxes = $20 $60 $180 $60 Amy and Susan each pay = $60 + $20 Susan = $80 June Amy Prepared By Mr Seelan Hp: 90691139 Home use only Ans: $80 each Raffles SA2 5/23/2012 2010 Mr Seelan Hp: 90691139 7

Editor's Notes

  1. Speech Notes - Slide 11. [Rectangle] Rectangle ClipMark out the dimensions first2. [Rectangle] Rectangle ClipFirst layer need to add 5 cubes3. [Rectangle] Rectangle Clip2nd layer need to add 11 cubes4. [Rectangle] Rectangle ClipMark out the remaining layers required for the height5. [Rectangle] Rectangle Clip3rd layer needs 12 cubes6. [Rectangle] Rectangle ClipSimilarly, 4th and 5th layer needs 12 cubes each7. [Rectangle] Rectangle Clip52 more cubes are needed
  2. Speech Notes - Slide 2
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  8. Speech Notes - Slide 8