add maths project popcorn 2015
DESCRIPTION
A Guide To Add Maths Project 2015TRANSCRIPT
7/21/2019 Add Maths Project Popcorn 2015
http://slidepdf.com/reader/full/add-maths-project-popcorn-2015 1/40
ADDITIONALMATHEMATIC
PROJECT WORK
TASK 2/2014
APPLICATION OF MATHEMATICS I
POPCORN PACKAGING
NAME: WINNIE LIM MING YI
CLASS: 5 OLYMPIC
IC. NUMBER: 970109- 07- 5522
TEACHER: CIKGU NORMAZIAH BT BASRI
7/21/2019 Add Maths Project Popcorn 2015
http://slidepdf.com/reader/full/add-maths-project-popcorn-2015 2/40
N
7/21/2019 Add Maths Project Popcorn 2015
http://slidepdf.com/reader/full/add-maths-project-popcorn-2015 3/40
CONTENTN. TOPICS PAGE
1
7/21/2019 Add Maths Project Popcorn 2015
http://slidepdf.com/reader/full/add-maths-project-popcorn-2015 4/40
7/21/2019 Add Maths Project Popcorn 2015
http://slidepdf.com/reader/full/add-maths-project-popcorn-2015 5/40
ACKNOWLE!GEMENT
F"#$% & '(() I *+(, (" % /#$$ 3#'%"%+, %
',,"%"4'( '%'%"6$ %'6#) P+'4 M'#"' * 3'8
% #%+4"% % , %"$ #6% '4, (, ' (%
'( % 6(% %"$ '$$"344%.
S64,() I *+(, (" % %'4 '#4%$ '4, &'
&# #8","43 8#%"43) $+6 '$ $%'%"4'#"$ '4, %46$$'# '%#"'($ 4,, "4 %"$ #6% '4, %"# ',8"6
*"6 "$ $% +$&+( '4, 46+#'3"43. I ' 3#'%&+( &# %"
64$%'4% $+#% '4, (. N% %%"43 &#"4,$ *
64%#"+%, %"# %+3%$ '4, ",'$ "4 ("43 $(8
#($ #3'#,"43 % '$$"344% '4, 3'8 +$&+(
64%$ "4 #$'#6. I #'(( '#6"'% %"# ( '4,
"4,4$$.
B$",$ %'%) I *'4% % %'4 % #$4,4%$ "48(8,
("43 '4, $4,"43 %"# %" % '4$*# ;+$%"4$ &#
%"$ #6%. W"%+% %$ #$4,4%$) I "3% 4% '(
'66("$ %'$ %"$ <6"4%(. W"% %"# 6#'%"4
'4, $"34"=6'4% $+33$%"4$) I '8 $+66$$&+(( ,#'*4 %
646(+$"4 &# %"$ #6%.
L'$% +% 4% ('$%) I *+(, (" % /#$$ %'4&+(4
% %$ * '# "48(8,) "%# ,"#6%( # "4,"#6%( "4
6(%"43 %"$ #6%. T'4 + &# '(( % 6-#'%"4
3"84.
%#+3+% =4"$"43 %"$ #6%. W"%+% # 3+",) I ' 4
7/21/2019 Add Maths Project Popcorn 2015
http://slidepdf.com/reader/full/add-maths-project-popcorn-2015 6/40
7/21/2019 Add Maths Project Popcorn 2015
http://slidepdf.com/reader/full/add-maths-project-popcorn-2015 7/40
"(
)
#
&#
%
$$
%
7/21/2019 Add Maths Project Popcorn 2015
http://slidepdf.com/reader/full/add-maths-project-popcorn-2015 8/40
7/21/2019 Add Maths Project Popcorn 2015
http://slidepdf.com/reader/full/add-maths-project-popcorn-2015 9/40
MORAL VALUES T#+3+% % 6(%"4 & %"$ #6% *#) I '8
('#4% %'% * '8 % '#,*#"43) ,%#"4, '4,
6#'%"8 "4 #,# % $+66,. P(34$ '# $%+,", "4 % =#$
&* '#$ & +# $6( ("& '$ '4 "4%#,+6%"4 % '$"6
3%# '4, '%'%"6$. !"<#4%"'%"4 "$ '($ %'+3% %
"4 % $64,'# $6( ("&$ '$ % "46#'$ +# 6''"("%"$
$(8"43 '%'%"6'( #($. B+% '&%# ,"43 #$'#6)
'4$*#"43 ;+$%"4$) 6(%"43 %'() ,#'&%"43 3#'$ '4,
$ #( $(8"43) I?8 ,"$68#, %'% % '("6'%"4(34$ '4, ,"<#4%"'%"4 "$ "#%'4% '(%3%# "4 +# ("&
B +$"43 +# 4*(,3 "4 (34$ '4, ,"<#4%"'%"4) *
'# '( % 6#'% ,"<#4% ,$"34$ "4 =(,$ & 64$%#+6%"4)
'4+&'6%+# '4, #,+6%"4 '4, '($% 8#%"43 '#+4,
"4 +# ,'"( ("&. T +$ & (34$ '4, ,"<#4%"'%"4 (
% #,+6 6$% '4, '/"" #=%$ "4 +$"4$$$. T+$) *
+$% ('#4 '4, '$%# ,"<#4%"'%"4 $ %'% * 6+(, ,
'#% "4 64%#"+%"43 % % $6"% '4, +# 4'%"4?$ #,+6%""4 % &+%+#.
F+#%##) I '8 '($ ('#4% % '#6"'% &#"4,
34#$"% "4 ("43 '4, % "#%'46 & %'*# "
6(%"43 +# ,'"( %'$$. W $+(, '($ 3#'%&+( % %
64%#"+%#$ "4 % =(, & $6"46 '4, %64(3 * ',
+# ("8$ +6 '$"# 6"43 + *"% &#+('$) #"46"(
('*$) '4, '4 %# ",'$ "4 "484%"4$. T#&#) * $+(, '(( &((* %"# &%$%$ '4, , +# $% % 64%#"+
'6 % % $6"% '4, 6+4%# *4 * '# '(( 3#*4 +.
7/21/2019 Add Maths Project Popcorn 2015
http://slidepdf.com/reader/full/add-maths-project-popcorn-2015 10/40
%
+$
&
&.
+$
$
#
"%
$
)
%
7/21/2019 Add Maths Project Popcorn 2015
http://slidepdf.com/reader/full/add-maths-project-popcorn-2015 11/40
POPCORN
''#'4% 3#'"4) $#3+) ;+"4') '4, "((%) "%$ #4($ '8 ' '#
"$%+#-$'(, +(( '4, ' ,4$ $%'#6 "4%#"#. P#$$+# +"(,$
"4$", % #4() '4, ' $'(( /($"4 @# "$ % 4, #$+(%.
S $%#'"4$ & 6#4 '# 4* 6+(%"8'%, $6"=6'(( '$ "43
6#4$.
T# '# 8'#"+$ %64";+$ &# "43 6#4. A(43 *"%
#'6'3, 6#4) *"6 "$ 34#'(( "4%4,, % #'#,
"43 6#4. T$ %,$ #;+"# % +$ & "4"'((
#6$$, "43 6#4. A ('#3#-$6'() 6#6"'( 6#4
'6"4 *'$ "484%, C'#($ C#%#$ "4 % ('% 19% 64%+#.
U4, 6#4 "$ 64$",#, 44#"$'( '4, *"(( ('$%
"4,=4"%( "& $%#, "4 ",'( 64,"%"4$. !4,"43 4 * "% "$ 44-
#'#, '4, 6,) $ 64$",# 6#4 % ' '(% &,)
*"( %#$ 6'+%"4 '3'"4$% "% &# ' 8'#"% & #'$4$. P6#4 6'4
'($ '8 44-&, '("6'%"4$) #'43"43 &# (",' ,6#'%"4$
% '6'3"43 '%#"'($.
P6#4) '($ 4*4 '$ "43 6#4) "$ ' % & 6#4
@'") Z' '$ 8'#. 8#%' %'% /'4,$ &# % #4( '4,
+<$ + *4 '%,. P6#4 "$ '( % 6'+$) (" '4, '
"4 ' "6#*'8 84) %# '# $'(( '("'46$ &#
7/21/2019 Add Maths Project Popcorn 2015
http://slidepdf.com/reader/full/add-maths-project-popcorn-2015 12/40
7/21/2019 Add Maths Project Popcorn 2015
http://slidepdf.com/reader/full/add-maths-project-popcorn-2015 13/40
HISTORY OF POPCORN
B"("6'( '66+4%$ & 6#4 $%#, "4 % #'",$ & E3% '#
"$+4,#$%,. T 6#4 &# % "( *'$ #'( '#(. T "$%'
6$ &# ' 6'43, +$ & % *#, 6#4) *"6 +$, % $"34"& %
$%-+$, 3#'"4 & ' $6"=6 ('6. I4 E43('4,) 6#4 *'$ *'%) '4, "4
S6%('4, '4, I#('4, % *#, #&##, % '%$. S"46 '" *'$ % 64
A#"6'4 6#4) "% % %'% 4' -- '4, $ "% %,'.
P6#4 *'$ =#$% ,$%"6'%, "4 M/"6 9)000 '#$ '3 &# ' *"(, 3#'$$
A &* %+$'4,$ & '#$ ('%# "% %4 ', "%$ *' '6#$$ C4%#'( '4,
&# D00 B.C. *'$ &+4, "4 N* M/"6. C#46$ &+4, '% %* '46"4% $"%$ "
P#+ @P'#,4$ '4, H+'6' P#"%' ' ,'% &# '$ '#( '$ 700 B.C. T"$
$+33$%$ %'% ( ("8"43 '(43 % 6'$% & 4#%#4 P#+ *# '(#', '%"4
6#4 %'% %".
T (34, %'% E43("$ $%%(#$) * 6' % A#"6' "4 % 1D% '4, 17%
%. N 8",46 /"$%$ &# 6(4"'( %"$ % $+#% % 6('" %'% 4'%"8$
N#% A#"6'?$ '$% 6'$% 84 4* &) #) &# %'% '%%#) 3#* 6#4.
S+% A#"6'. P6#4 "$ 4 & % (,$% &#$ & 6#4 8",46 & 6#4
64%+#"$) ('#4, '+% 6#4 &# N'%"8 A#"6'4$ '$ 4 #84 %
7/21/2019 Add Maths Project Popcorn 2015
http://slidepdf.com/reader/full/add-maths-project-popcorn-2015 14/40
.
&
'
7/21/2019 Add Maths Project Popcorn 2015
http://slidepdf.com/reader/full/add-maths-project-popcorn-2015 15/40
T (,$% '#$ & 6#4 8# &+4, *# ,"$68#, "4 % B'% C'8 &
*$% 64%#'( N* M/"6 "4 19 '4, 1950. R'43"43 &# $'((# %'4 ' 44
% '+% 2 "46$) % (,$% B'% C'8 '#$ '# '+% )000 '#$ (,. P6#4
*'$ "4%3#'( % '#( 1D% 64%+# A%6 I4,"'4 6#4"$. B#4'#,"4 ,
S''3+4 *#"%$: A4, '($ ' 4+# & +43 *4 ,'46,) '8"43 $ 8*,' 6#4 ,'46. A$ %"6 '$ %'$$($ & '" *# %"# 6#4 3'#('4,$. A4,
%$ % ('6, +4 @% 3"#($? ',$.
I4 1519) C#%$ 3% "$ =#$% $"3% & 6#4 *4 "48',, M/"6 '4,
6' "4% 64%'6% *"% % A%6$. P6#4 *'$ '4 "#%'4% &, &# % A%6
I4,"'4$) * '($ +$, 6#4 '$ ,6#'%"4 &# 6#4"'( ',,#$$$)
46('6$ '4, #4'4%$ 4 $%'%+$ & %"# 3,$) "46(+,"43 T('(6) % 3, &
#'"4 '4, &#%"("%. A4 '#( S'4"$ '66+4% & ' 6#4 4#"43 % A%6 3
* *'%6, 8# =$#4 #',$: T $6'%%#, &# " '#6, 6#4)6'((, 6"%() ' "4, & 6#4 *"6 +#$%$ *4 '#6, '4, ,"$6($$ "%$
64%4%$ '4, '$ "%$(& ( (" ' 8# *"% *# % $'", %$ *#
'"($%4$ 3"84 % % 3, & *'%#.
W#"%"43 & P#+8"'4 I4,"'4$ "4 1D50) % S'4"'#, C $'$) T %'$% '
6#%'"4 "4, & 6#4 +4%"( "% +#$%$. T 6'(( "% "$'46'((') '4, % +$ "% '$ '
64&6%"4. T +$ & % (,'#, (* 6' 64('6 "4 %
",-100$ '4, (, % % *",$#', ('4%"43 & '" "4 % U4"%, S%'%$.
P6#4 *'$ 8# +('# &# % 190$ +4%"( % G#'% !#$$"4. S%#%84,#$ +$, % &((* 6#*,$ '#+4,) +$"43 $%' # 3'$-*#, #$
%#+3 &'"#$) '#$ '4, /$"%"4$. !+#"43 % !#$$"4) 6#4 '% 5 # 10
64%$ ' '3 *'$ 4 & % &* (+/+#"$ ,*4-'4,-+% &'"("$ 6+(, '<#,. W
%# +$"4$$$ &'"(,) % 6#4 +$"4$$ %#"8,. A4 O('' '4# *
*4% # *4 "$ '4 &'"(, +3% ' 6#4 '6"4 '4, $%'#%, '
+$"4$$ "4 ' $'(( $%# 4'# ' %'%#. A&%# ' 6+( '#$) "$ 6#4
+$"4$$ ', 4+3 4 % + '6 %# & % &'#$ ?, ($%.
!+#"43 W#(, W'# II) $+3'# *'$ $4% 8#$'$ &# U.S. %#$) *"6 '4%%# *'$4?% +6 $+3'# (&% "4 % S%'%$ % ' 6'4,. T'4$ % %"$ +4+$+
$"%+'%"4) A#"6'4$ '% %# %"$ '$ +6 6#4 '$ +$+'(. P6#4 *4%
"4% ' $(+ ,+#"43 % '#( 1950$) *4 %(8"$"4 6' +('#. A%%4,'4
'% 8" %'%#$ ,#, '4,) *"% "%) 6#4 64$+%"4. W4 % +("6
3'4 '%"43 6#4 '% ) % 4* #('%"4$" %*4 %(8"$"4 '4,
6#4 (, % ' #$+#3 "4 +('#"%.
7/21/2019 Add Maths Project Popcorn 2015
http://slidepdf.com/reader/full/add-maths-project-popcorn-2015 16/40
7/21/2019 Add Maths Project Popcorn 2015
http://slidepdf.com/reader/full/add-maths-project-popcorn-2015 17/40
)
,$
"(
(
6
7/21/2019 Add Maths Project Popcorn 2015
http://slidepdf.com/reader/full/add-maths-project-popcorn-2015 18/40
7/21/2019 Add Maths Project Popcorn 2015
http://slidepdf.com/reader/full/add-maths-project-popcorn-2015 19/40
A% ('$% $"/ (6'("%"$ @'(( "4 % M",*$%#4 U4"%, S%'%$ 6('" % %
P6#4 C'"%'( & % W#(,: R",3*') I(("4"$ '('#'"$)
I4,"'4' '4 B+#4) I4,"'4' S6'((#) I*' M'#"4) O" '4, N#% L+)
N#'$'. A66#,"43 % % US!A) 6#4 +$, &# 6#4 #,+6%"4 "$
$6"=6'(( ('4%, &# %"$ +#$ $% "$ 3#*4 "4 N#'$' '4, I4,"'4')*"% "46#'$"43 '#' "4 T/'$. A$ % #$+(% & '4 (4%'# $6( #6%)
6#4 6' % J6"'( $%'% $4'6 &, & I(("4"$.
7/21/2019 Add Maths Project Popcorn 2015
http://slidepdf.com/reader/full/add-maths-project-popcorn-2015 20/40
7/21/2019 Add Maths Project Popcorn 2015
http://slidepdf.com/reader/full/add-maths-project-popcorn-2015 21/40
SECTIO
N A
7/21/2019 Add Maths Project Popcorn 2015
http://slidepdf.com/reader/full/add-maths-project-popcorn-2015 22/40
7/21/2019 Add Maths Project Popcorn 2015
http://slidepdf.com/reader/full/add-maths-project-popcorn-2015 23/40
QUESTION 1F# %"$ '6%"8"% + *"(( 6'#"43 % 8(+ & 2 6("4,#$
6#'%, +$"43 % $' $% & '#. Y+ *"(( ,%#"4"43 *,"4$"4 6'4 (, # 6#4. T , %"$) + *"(( '8 % =4
'%%#4 &# % ,"4$"4$ &# 64%'"4#$.
M'%#"'($:
1 T' % *"% '# '4, #(( "% + '(43 % (43$% $", %
'$($$ 6("4,# %'% "$ %'(( '4, 4'##*. ! 4% 8#(' %
T' '(43 % ,3$. M'$+# % ,"4$"4$ *"% ' #+(#
C
T' % 6(+#, '# '4, #(( "% + '(43 % $#%# $",'$($$ 6("4,# %'%"$ $#% '4, $%+%. ! 4% 8#(' %
'(43 % ,3. M'$+# % "3% '4,,"'%# *"% ' #+(
.511 "4. *"% '#) .511 "4. 6(+#, '#) T') P6#4) P('%) C+
+# ,'%' (* '4, 4 % 6("4,#. L'( "% Cylinder A.
,'%' (* '4, 4 % 6("4,#. L'( "% Cylinder B.
11
.5
7/21/2019 Add Maths Project Popcorn 2015
http://slidepdf.com/reader/full/add-maths-project-popcorn-2015 24/40
"6'
&# '
$",$.
'4, #6#,
linder A
% &# '$",$. T'
#. R6#,
) R+(#.
7/21/2019 Add Maths Project Popcorn 2015
http://slidepdf.com/reader/full/add-maths-project-popcorn-2015 25/40
C
ANS: !IMENSION CYLIN!ER A
HEIGHT 11.0 "4.!IAMTER 2.D "4.
RA!IUS 1. "4.
Cylinder A C
2 ! + %"4 % %* 6("4,#$ *"(( (, % $' '+4%
! + %"4 4 *"(( (, # %'4 % %# W"6 4
ANS:
,$ 4% '<6% +6 6'#, % % <6% & ,"<#46 "4 #',"+$.
T %* 6("4,#$ *"(( 4% (, % $' '+4%. Cylinder A *"(( (
Cylinder B. T"$ "$ 6'+$ % #',"+$ & Cylinder B "$ (43# %'4 %
Cylinder A A(%+3 % "3% & C("4,# B "$ $#%# %'4 C("4,
.5
11
11.0.
.5
,
7/21/2019 Add Maths Project Popcorn 2015
http://slidepdf.com/reader/full/add-maths-project-popcorn-2015 26/40
linder B
YLIN!ER B
.5 "4.. "4.
1.7 "4.
linder B
W
# %'4
'% &
# A) +% %"$
11.0
7/21/2019 Add Maths Project Popcorn 2015
http://slidepdf.com/reader/full/add-maths-project-popcorn-2015 27/40
ANS:
A$ + $'# +# 6#4 $4'6) '4$*# % ;+$%"4$ (
' W'$ +# #,"6%"4 6##6% H* , + 4*
ANS: Y$) % #,"6%"4 "$ 6##6%. I% "$ '$, 4 % &#+(') 8(+ & 6(
I& +# #,"6%"4 "$ "46##6%) ,$6#" *'% '6%+'(( '
5' S%'% % &#+(' &# =4,"43 % 8(+ & ' 6("4,#.
ANS: H'8"43 ' #"3% 6("4,# *"% "3%) +4"%$ '4, ' '$ & #',"+$) # +4"
'/$ 6$4 $ %'% % #"3"4 "$ '% % 64%# & 4 '$ '4, %
P('6 Cylinder B 4 % '# ('% *"% C("4,# A "4$",
+# 6+ % +# 6#4 "4% Cylinder A +4%"( "% "$ &+((. C'#
Cylinder A $ %'% % 6#4 &'(($ "4% Cylinder B. !$6
'4,. I$ Cylinder B &+(() 4% &+(() # 8#*"43
Cylinder B "$ 4% &+((. T# "$ $%"(( # "4 % 6("4,# &# #
#. A66#,"43 % % &#+(') #',"+$) # '$ # <6% %'4 "3%)
# "$ $;+'#,. T+$ % Cylinder B *"% 3#'%# #',"+$) # '$ ' 3#'%#%'4 Cylinder A.
'$+#, '(43 % $"%"8 /- '/"$. A ('4 $(6%"4 '% ' ,"$%'46
% #"3"4 '$ '4 '#' & A@/ $;+'# +4"%$ *#:
A4 (4% & 8(+) "$ ' #"3% 6("4,# & '$ '#' A* $;+'# +4"
%"64$$ & Q +4"%$. T+$ "& 6+"6 +4"%$ "$ % 8(+ & % #"3%
6("4,#) R"'44 $+$:
7/21/2019 Add Maths Project Popcorn 2015
http://slidepdf.com/reader/full/add-maths-project-popcorn-2015 28/40
*.
"4,# ;+'($ %
,.
$ *"% %
"3% "$
"%. U$
&+(() ("&%
" *'%
#4.
$"46 #',"+$)
8(+)
/ +4"%$ &#
$ '4, '
"#6+('#
7/21/2019 Add Maths Project Popcorn 2015
http://slidepdf.com/reader/full/add-maths-project-popcorn-2015 29/40
A4, +$"43 6("4,#"6'( 6#,"4'%$) % 8(+ 6'4 '($ 6'(6+('%
"4%3#'%"4 8#:
ANS:
5.
6
ANS:
77.2
, E/('"4 * % 6("4,#$ , # 4% , 4% (, % $' '
% &#+(' &# % 8(+ & ' 6("4,# % 3+", +# /('
ANS: !"<#4% 6("4,# *"% ,"<#4% #',"" '4, "3% *"(( '8 ,"<#4% 8'(8(+. B'$, 4 % &#+(' ) % #',"+$ "$ $;+'#, '4, 4
!IMENSION CYLIN!ER A
HEIGHT 11.0 "4.
!IAMTER 2.D "4.
RA!IUS 1. "4.
8(+ 5. "4.
C'(6+('% % 8(+ & Cylinder A
(+ & Cylinder A:
@1.@11
C'(6+('% % 8(+ & Cylinder B
(+ & Cylinder B:
' "33# '#% %'4 % "3%. T #'$4 * Cylinder B '$ "33#
Cylinder A 6'+$ "% '$ ' "33# #',"+$ %'4 Cylinder A.
7/21/2019 Add Maths Project Popcorn 2015
http://slidepdf.com/reader/full/add-maths-project-popcorn-2015 30/40
,
+4%. U$
4'%"4.
+$ "4 #',"+$ ('$
YLIN!ER B
.5 "4.
. "4.
1.7 "4.
77.2 "4.
8(+ %'4
7/21/2019 Add Maths Project Popcorn 2015
http://slidepdf.com/reader/full/add-maths-project-popcorn-2015 31/40
DW"6 '$+#4% "'6%$ % 8(+ #: % #',"+$
"3% W# %#+3 % /'( (* % ( + '4$*
;+$%"4.
A$$+ %'% + '8 ' 6("4,# *"% ' #',"+$ & "46$ '
& 10 "46$. I46#'$ % #',"+$ 1 "46 '4, ,%#"4 %
8(+. T4 +$"43 % #"3"4'( #',"+$) "46#'$ % "3%
'4, ,%#"4 % 4* 8(+.
CYLIN!ER RA!IUS HEIGHT
ORIGINAL 10
INCREASE! RA!IUS
INCREASE! HEIGHT
90
0
70
D0
50
0
020
10
0H"3%)
11
R',"+$)# (+)
2.D 5.
!"'%#),
1.
.5 . 1.7 77.2
A
B
7/21/2019 Add Maths Project Popcorn 2015
http://slidepdf.com/reader/full/add-maths-project-popcorn-2015 32/40
# %
# %
4, ' "3%
4*
1 "46
OLUME
7/21/2019 Add Maths Project Popcorn 2015
http://slidepdf.com/reader/full/add-maths-project-popcorn-2015 33/40
W"6 "46#'$, ,"4$"4 ', ' ('#3# "'6% 4 % 8(+
6("4,# W , + %"4 %"$ "$ %#+
ANS: CYLIN!ER RA!IUS HEIGHT
ORIGINAL 10
INCREASE! RA!IUS
INCREASE! HEIGHT
7/21/2019 Add Maths Project Popcorn 2015
http://slidepdf.com/reader/full/add-maths-project-popcorn-2015 34/40
& %
OLUME
7/21/2019 Add Maths Project Popcorn 2015
http://slidepdf.com/reader/full/add-maths-project-popcorn-2015 35/40
SECTIO
N B
7/21/2019 Add Maths Project Popcorn 2015
http://slidepdf.com/reader/full/add-maths-project-popcorn-2015 36/40
7/21/2019 Add Maths Project Popcorn 2015
http://slidepdf.com/reader/full/add-maths-project-popcorn-2015 37/40
7/21/2019 Add Maths Project Popcorn 2015
http://slidepdf.com/reader/full/add-maths-project-popcorn-2015 38/40
7/21/2019 Add Maths Project Popcorn 2015
http://slidepdf.com/reader/full/add-maths-project-popcorn-2015 39/40
I& + *# +"43 6#4 '% % 8" %'%# '4, *'4%, %
6#4) *'% % & 64%'"4# *+(, + ( &#
C(+: Y+ 4, # %'4 4 % & 64%'"4#$.
H'8 ' %+3% '+%:
" Y+ '# % 6#4 $((#) *'% % & 64%'"4# *+(,
( &#
"" Y+ '# % #,+6# & 64%'"4#$) *'% % & 64%'"4#
*+(, + 6$ % '8 % $% #=%
Y+ '# 3"84 006 & %"4 $% '%#"'(. E/('"4 % ,%'"($.
7/21/2019 Add Maths Project Popcorn 2015
http://slidepdf.com/reader/full/add-maths-project-popcorn-2015 40/40
$%
+