Uploaded by Brisena music

Cambridge Primary Checkpoint Mathematics Paper 1 Exam 2022

advertisement
,-./&012+ 3&0.-&4 ,5+678)0'9
!
"
#
"
$
%
%
$
"
"
&
!
:;$<=:;$>,?
@ABCD@!
D./+7 @
;8&0E F@FF
BC .0'%9+G
K') *)%- .,%L+7 ', -#+ M)+%-$', /./+71
K') L$55 ,++&N
D7'-7.(-'7
"7.($,0 /./+7 O'/-$',.5P
>H?$IJ,$>KH?
2,%L+7 -EE M)+%-$',%1
F%+ . 45.(6 '7 &.76 45)+ /+,1 K') *.3 )%+ ., Q9 /+,($5 R'7 .,3 &$.07.*% '7 07./#%1
S7$-+ 3')7 ,.*+T (+,-7+ ,)*4+7 .,& (.,&$&.-+ ,)*4+7 $, -#+ 4'U+% .- -#+ -'/ 'R -#+ /.0+1
S7$-+ 3')7 .,%L+7 -' +.(# M)+%-$', $, -#+ %/.(+ /7'V$&+&1
W' ')9 )%+ ., +7.%.45+ /+, '7 ('77+(-$', R5)$&1
W' ')9 L7$-+ ', .,3 4.7 ('&+%1
K') %#')5& %#'L .55 3')7 L'76$,0 $, -#+ 4''65+-1
K') .7+ ')9 .55'L+& -' )%+ . (.5()5.-'71
>HLKI:;$>KH
"#+ -'-.5 *.76 R'7 -#$% /./+7 $% ?;1
"#+ ,)*4+7 'R *.76% R'7 +.(# M)+%-$', '7 /.7- M)+%-$', $% %#'L, $, 47.(6+-% X Y1
"#$% &'()*+,- #.% !" /.0+%1 2,3 45.,6 /.0+% .7+ $,&$(.-+&1
89:: ;<=;>?<=;@ABCD
E FGHIJ :;::
#$%&' )*+&
F
!
Q+7+ .7+ -#7++ (.5()5.-$', (.7&% 2 .,& 9 .,& G1
2
9
?×[
G
B×<
\×]
"#+ .,%L+7% -' -#+ (.5()5.-$',% .7+ L7$--+, ', -#+ 4.(6 'R +.(# (.7&1
G'*/5+-+ -#+ 4.(6 'R +.(# (.7&1
2
9
G
X@Y
F
G.5()5.-+1
G.5()5.-+1
]B ÷ B
X@Y
M
F%+ -#+ &$.07.*% -' L7$-+ &'L, -L' R7.(-$',% +M)$V.5+,- -'
.,&
E FGHIJ :;::
;>?<A;@A2AZA::
@
:
X@Y
M
B
^$,& -#+ &$RR+7+,(+ 4+-L++, B\? .,& []
X@Y
C
"#$% $% -#+ /5., 'R . _''1
Giraffes
N
Seal Pond
Elephants
Shop
"#+ 6++/+7 -.6+% ., +5+/#.,- 4.(6 -' $-% /+,1
"#+ 6++/+7 -.6+% -#+ 7')-+ %#'L, 43 -#+ .77'L%1
G'*/5+-+ -#$% -.45+ -' %#'L -#+ 7')-+ R7'* J-.7- -' ^$,$%#1
"#+ R$7%- $,%-7)(-$',% #.V+ 4++, &',+ R'7 3')1
J-.7S+%-
:
`'7-#
^$,$%#
X@Y
E FGHIJ :;::
;>?<A;@A2AZA::
#$%&' )*+&
B
"
S7$-+ -#+ *$%%$,0 ,)*4+7 $, -#+ 4'U1
÷
\ a @B
X@Y
N
2 4.%6+- 'R R7)$- #.% . *.%% 'R ] 60 B; 01
"#+ *.%% 'R -#+ +*/-3 4.%6+- $% ><; 01
S7$-+ -#+ *.%% 'R -#+ R7)$-1
b$V+ ),$-% L$-# 3')7 .,%L+71
X:Y
A
Q+7+ $% . G.77'55 &$.07.* R'7 %'7-$,0 ,)*4+7%1
S7$-+ +.(# ,)*4+7 $, -#+ ('77+(- /5.(+ ', -#+ &$.07.*1
BT @:T @[T :\T :[
*)5-$/5+% 'R \
,'- *)5-$/5+% 'R \
5+%% -#., :;
,'- 5+%% -#., :;
X:Y
E FGHIJ :;::
;>?<A;@A2AZA::
C
O
"#$% &$.07.* 7+/7+%+,-% -#+ *$U+& ,)*4+7 @
@
:
H''6 .- -#+%+ &$.07.*%1
S7$-+ +.(# .% . *$U+& ,)*4+71
......................................
......................................
......................................
X:Y
E FGHIJ :;::
;>?<A;@A2AZA::
#$%&' )*+&
"
!@ S7$-+ -#+%+ *+.%)7+*+,-% $, '7&+7 R7'* 5.70+%- -' %*.55+%-1
@1: 60
\B;; 0
;1B 60
E-&2+G9
];; 0
G.-EE+G9
X@Y
!! F%+ < '7 > -' ('*/5+-+ -#+%+ ,)*4+7 %+,-+,(+%1
@: \?<
\?<B
B?< @:\
B?< :@\
X@Y
!F Q+7+ $% . -7./+_$)* &7.L, ', . 07$& 'R %M).7+%1
"#+ -7./+_$)* $% -7.,%5.-+& \ %M).7+% )/ .,& : %M).7+% 5+R-1
W7.L -#+ -7./+_$)* $, $-% ,+L /'%$-$', ', -#+ 07$&1
X@Y
E FGHIJ :;::
;>?<A;@A2AZA::
N
!M G.5()5.-+
G.5()5.-+11
< + < × O< + \P
X@Y
!B Z.-(# +.(# *)5-$/5$(.-$', -' -#+ +M)$V.5+,- (.5()5.-$',1
37  20  21
37  20  37
37  19
37  20 – 20
37  20 – 19
37  21
37  20  20
37  20 – 37
X@Y
!C "#$% %-.-+*+,- $% ,'- ('*/5+-+1
#.5R
a &')45+ [B
S7$-+ . ,)*4+7 $, -#+ 4'U -' *.6+ -#$% %-.-+*+,- ('*/5+-+1
X@Y
E FGHIJ :;::
;>?<A;@A2AZA::
#$%&' )*+&
A
!" 2 R.$7 %$Uc%$&+& &$(+ $% 7'55+& ',(+ ',531
F%+ ',+ 'R -#+ L'7&% 4+5'L -' &+%(7$4+ -#+ 5$6+5$#''& 'R +.(# +V+,-1
(+7-.$,
5$6+53
+V+,-
+V+,
),5$6+53
$*/'%%$45+
5$6+5$#''&
. ,)*4+7 ? $% 7'55+&
. ,)*4+7 5+%% -#., :; $% 7'55+&
., '&& ,)*4+7 $% 7'55+&
. *)5-$/5+ 'R @; $% 7'55+&
X:Y
!N W7.L . 5$,+ -' *.-(# +.(# ,)*4+7 -' $-% V.5)+ L#+, $- $% 7'),&+& -' -#+ ,+.7+%- @;;;
'%./+&
*-E%+ P5+'
&)%'1+1 9) 95+
'+-&+G9 !@@@
:@< <;\
:@? ;;;
:@? <]>
:@< ;;;
:@B ?>]
:@B ;;;
:@< ;<\
:@[ ;;;
X:Y
E FGHIJ :;::
;>?<A;@A2AZA::
O
!A Q+7+ $% . 07./# -' %#'L -#+ %('7+% 'R (5.%% B $, . -+%-1
Graph to show scores in a test
20
16
12
Number of
students
8
4
0
0–3
4–7
8–11
13–15
Score out of 15
Q-R S7$-+ #'L *.,3 %-)&+,-% %('7+ *'7+ -#., [
%-)&+,-% X@Y
Q/R Z$. %.3%T
Four students scored
10 on the test.
IU/5.$, L#3 -#$% *.3 ,'- 4+ -7)+1
X@Y
E FGHIJ :;::
;>?<A;@A2AZA::
#$%&' )*+&
!@
!O Q+7+ $% . ,)*4+7 R.(-1
?\ × @; a ?\;
d5$V+7 )%+% -#+ ,)*4+7 R.(- -' L'76 ')- -#+ .,%L+7 -' ?\ × @@
= 473
430 + 43
Q-R S7$-+ &'L, -#+ (.5()5.-$', d5$V+7 (')5& )%+ -' R$,& -#+ .,%L+7 -' ?\ × ]
F%+ ',53 .&&$-$', '7 %)4-7.(-$',1
X@Y
Q/R d5$V+7 .&&% -#+ .,%L+7 -' ?\ × @@ -' #$% .,%L+7 -' ?\ × ]
W7.L . 7$,0 .7'),& -#+ *)5-$/5$(.-$', -#.- L$55 0$V+ -#+ %.*+ .,%L+71
?\ × :;
?\ × ]]
>B × :;
>B × ]]
X@Y
F@ G'*/5+-+ -#+ -.45+1
"#+ R$7%- ',+ #.% 4++, &',+ R'7 3')1
W$V$%$',
Z$U+& ,)*4+7
W+($*.5
]÷:
?
@
:
?1<
@[ ÷ ?
@: ÷ <
X:Y
E FGHIJ :;::
;>?<A;@A2AZA::
!!
F! Q+7+ .7+ %'*+ %#./+% 2T 9T GT W .,& I1
A
B
C
D
E
S7$-+ -#+ 5+--+7% $, -#+ ('77+(- 4'U $, -#+ -.45+1
d,+ #.% 4++, &',+ R'7 3')1
D'530',
`'- . /'530',
2
X:Y
FF D)- -#+%+ R7.(-$',% $, '7&+7 %-.7-$,0 L$-# -#+ 5.70+%-1
@
:
[
@B
\
?
5.70+%-
<
>
%*.55+%X@Y
E FGHIJ :;::
;>?<A;@A2AZA::
#$%&' )*+&
!F
FM W7.L -#+ 7+R5+(-$', 'R -#+ %#./+ $, -#+ *$77'7 5$,+1
mirror line
X@Y
FB Q+7+ $% . -.45+ L$-# R')7 %-.-+*+,-% .4')- '&& .,& +V+, ,)*4+7%1
G'*/5+-+ -#+ -.45+ -' %#'L $R +.(# %-.-+*+,- $% -7)+ '7 R.5%+1
"#+ R$7%- ',+ #.% 4++, &',+ R'7
R '7 3')1
9&%+ )& S-EG+
'&& + '&& + '&& a '&&
-7)+
+V+, × '&& a +V+,
+V+, + '&& + '&& a '&&
'&& × '&& a '&&
'&& × '&& × '&& a +V+,
X:Y
E FGHIJ :;::
;>?<A;@A2AZA::
!M
FC C.(#+5 L.,-% -' (',V+7-
<
>
$,-' . &+($*.51
G'*/5+-+ #+7 (.5()5.-$',1
0.6
8 5.000
5
X@Y
F" G'*/5+-+ -#+ ,)*4+7 %+,-+,(+1
?< × @> a ]; ×
X@Y
FN Q+7+ $% /.7- 'R . -7.$, -$*+-.45+1
J$U -7.$,% -7.V+5 R7'* `+L(.%-5+ -' H',&',1
$&-0'
;
T
,
U
=
L
`+L(.%-5+
@;N\<
@;N<]
@@
@@N\;
N\;
@:N:<
@:N<[
@\N\;
H',&',
@\N?\
@\N?>
@?N?:
@<N??
@<N<@
@BN?\
J'*+ 'R -#+%+ -7.$,% -.6+ 5+%% -#., \ #')7% -' -7.V+5 R7'* `+L(.%-5+ -' H',&',1
S7$-+ -#+ 5+--+7% 'R -#+%+ -7.$,%1
G.5()5.-+ -#+ ,)*4+7 'R .0'%9+G -.6+, 43 "7.$, W -' -7.V+5 R7'* `+L(.%-5+ -'
H',&',1
*$,)-+%
X:Y
E FGHIJ :;::
;>?<A;@A2AZA::
#$%&' )*+&
!B
FA Q+7+ .7+ -#7++ +U.*/5+% 'R (.5()5.-$', %-7.-+0$+%1
D)- . -$(6 OP $R -#+ %-7.-+03 $% ('77+(-1
D)- . (7'%% OP $R -#+ %-7.-+03 $% ,'- ('77+(-1
G.5()5.-$',
J-7.-+03
@\1? e B1>
@\1? e [ e ;1:
@:1? + \1]
@:1? + ? e ;1@
\@1: e ]1]
\@1: e @; + ;1@
 '7 
X@Y
FO D$+77+ %/$,% -#7++ %/$,,+7% .,& .&&% -#+ 7+%)5-%1
8
11
9
9
10
10
11
spinner 1
spinner 2
2
3
4
spinner 3
H$%- -#7++ &$RR+7+,- L.3% D$+77+ (., *.6+ :;
%/$,,+7 @
%/$,,+7 :
%/$,,+7 \
+
+
+
+
+
+
X@Y
E FGHIJ :;::
;>?<A;@A2AZA::
!C
TV;HW 3;X=
E FGHIJ :;::
;>?<A;@A2AZA::
!"
TV;HW 3;X=
===================
=========
====================
====================
====================
===================
===================
===================
===================
====================
===================
===================
===================
==================
=========
D+7*$%%$', -' 7+/7'&)(+ $-+*% L#+7+ -#$7&c/.7-3 'L,+& *.-+7$.5 /7'-+(-+& 43 ('/37$0#- $% $,(5)&+& #.% 4++, %')0#- .,& (5+.7+& L#+7+ /'%%$45+1 IV+73
7+.%',.45+ +RR'7- #.% 4++, *.&+ 43 -#+ /)45$%#+7 OFGHIJP -' -7.(+ ('/37$0#- #'5&+7%T 4)- $R .,3 $-+*% 7+M)$7$,0 (5+.7.,(+ #.V+ ),L$--$,053 4++, $,(5)&+&T -#+
/)45$%#+7 L$55 4+ /5+.%+& -' * .6+ .*+,&% .- -#+ +.75$+%- /'%%$45+ '//'7-),$-31
"' .V'$& -#+ $%%)+ 'R &$%(5'%)7+ 'R .,%L+7c7+5.-+& $,R'7*.-$', -' (.,&$&.-+%T .55 ('/37$0#- .(6,'L5+&0+*+,-%
.(6,'L5+&0+*+,-% .7+ 7+/7'&)(+& ',5$,+ $, -#+ G .*47$&0+
2%%+%%*+,- 8,-+7,.-$',.5
8,-+7,.-$',.5 I&)(.-$', G'/37$0#- 2(6,'L5+&0+
2(6,'L5+&0+*+,-%
*+,-% 9''65+-1 "#$% $%
$% /7'&)(+& R'7 +.(# %+7$+% 'R +U.*$,.-$',%
+U.*$,.-$',% .,& $$%
% R7++53 .V.
.V.$5.45+
$5.45+ -' &'L,5'.&
.- LLL1(.*47$&0+$,-+7,.-$',.51'70
LLL1(.*47$&0+$,-+7,.-$',.51'70 .R-+7 -#+ 5$V+ +U.*$,.-$', %+7$+%1
G.*47$&0+ 2%%+%%*+,- 8,-+7,.-$',.5 I&)(.-$', $% /.7- 'R G.*47$&0+ 2%%+%%*+,-1 G.*47$&0+ 2%%+%%*+,- $% -#+ 47.,& ,.*+ 'R -#+ F,$V+7%$-3 'R G.*47$&0+
H'(.5 IU.*$,.-$',% J3,&$(.-+ OFGHIJPT L#$(# $% . &+/.7-*+,- 'R -#+ F ,$V+7%$-3 'R G.*47$&0+1
E FGHIJ :;::
;>?<A;@A2AZA::
,-./&012+ 3&0.-&4 ,5+678)0'9
!
"
#
$
%
&
#
%
'
%
(
!
:;$<=:;$>,?
@ABCD@E
B./+7 :
;8&0F E@EE
BC .0'%9+G
I') *)%- .,%J+7 ', -#+ K)+%-$', /./+71
I') J$55 ,++&L
B7'-7.(-'7
"7.($,0 /./+7 M'/-$',.5N
>H?$IJ,$>KH?
2,%J+7 -FF K)+%-$',%1
D%+ . 45.(6 '7 &.76 45)+ /+,1 I') *.3 )%+ ., O9 /+,($5 P'7 .,3 &$.07.*% '7 07./#%1
Q7$-+ 3')7 ,.*+R (+,-7+ ,)*4+7 .,& (.,&$&.-+ ,)*4+7 $, -#+ 4'S+% .- -#+ -'/ 'P -#+ /.0+1
Q7$-+ 3')7 .,%J+7 -' +.(# K)+%-$', $, -#+ %/.(+ /7'T$&+&1
U' ')9 )%+ ., +7.%.45+ /+, '7 ('77+(-$', P5)$&1
U' ')9 J7$-+ ', .,3 4.7 ('&+%1
I') %#')5& %#'J .55 3')7 J'76$,0 $, -#+ 4''65+-1
I') *.3 )%+ . (.5()5.-'71
>HLKI:;$>KH
"#+ -'-.5 *.76 P'7 -#$% /./+7 $% ?;1
"#+ ,)*4+7
,)*4+7 'P *.76% P'7 +.(# K)+%-$', '7
'7 /.7- K)+%-$', $% %#'J, $, 47.
47.(6+-%
(6+-% V W1
"#$% &'()*+,- #.% !" /.0+%1 2,3 45.,6 /.0+% .7+ $,&$(.-+&1
89:: ;<=;>?<=;:@<AB
C DEFGH :;::
#$%&' )*+&
E
!
F''6 .- -#+%+ ,)*4+7 (.7&%1
5
550
55
5500
Q7$-+ -#+ ,)*4+7 -#.- (., 4+ &$T$&+& +S.(-53 43 Y;;R Y; .,& <
Q7$-+ -#+ ,)*4+7 -#.- (., 4+ &$T$&+& +S.(-53 43 Y; .,& <R 4)- ,'- Y;;
V:W
E
X.-(# -#+%+ ,)*4+7% J$-# -#+$7 J7$--+, P'7*1
Z,+ #.% 4++, &',+ P'7 3')1
4750
Four thousand, five hundred
and fifty
4505
Four thousand and fifty five
4550
Four thousand, seven
hundred and fifty
4055
Four thousand, five hundred
and five
VYW
C DEFGH :;::
;>?<@;:@2@X@::
M
M
O+7+ $% . %#.&+& 7+(-.,05+ &7.J, ', . 07$& 'P %K).7+%1
U7.J . 7$,0 .7'),& -#+ %#./+ -#.- #.- #.% -#+ %.*+ .7+.1
VYW
B
E'*/5+-+ -#+ -.45+ -' %#'J -#+ -$*+% ', . Y:[#')7 &$0$-.5 (5'(61
Z,+ #.% 4++, &',+ P'7 3')1
-+, /.%- -J+5T+ $, -#+ .P-+7,'',
Y:LY; /*
K).7-+7 /.%- -#7++ $, -#+ *'7,$,0
K).7-+7 -' ,$,+ .- ,$0##.5P /.%- %$S $, -#+ +T+,$,0
VYW
C DEFGH :;::
;>?<@;:@2@X@::
#$%&' )*+&
B
C
"#+ %'7-$,0 &$.07.* %#'J% $,P'7*.-$', .4')- E5.%% ?
0$75%
4'3%
5$6+ -+,,$%
\
YY
&' ,'- 5$6+ -+,,$%
]
?
D%+ -#$% $,P'7*.-$', -' ('*/5+-+ -#+ ^+,, U$.07.*1
likes
tennis
boys
V:W
"
H.P$. +%-$*.-+% -#+ /'%$-$', 'P . ,)*4+7 ', ., +*/-3 ,)*4+7 5$,+1
number
1000
0
H#+ +%-$*.-+% -#+ /'%$-$', 'P -#+ G-.+ '%./+& ', . &$PP+7+,- ,)*4+7 5$,+1
A
B
C
D
E
0
10 000
U7.J . 7$,0 .7'),& -#+ ('77+(- +%-$*.-+1
2
9
E
U
G
VYW
C DEFGH :;::
;>?<@;:@2@X@::
C
N
_.*+ -#+ ]U %#./+ -#$% ,+- J$55 *.6+1
VYW
A
U7.J . 7$,0 .7'),& -#+ 5.70+%- .*'),- 'P *',+31
`]1;<
]<; (+,-%
`]1<]
]]< (+,-%
VYW
C DEFGH :;::
;>?<@;:@2@X@::
#$%&' )*+&
"
O
E.5()5.-+ -#+ %$a+ 'P .,05+ !"
Not drawn to scale
65°
a
°
VYW
!@ "#+7+ .7+ Y; %#++/ .,& :; 0'.-% $, . P$+5&1
"$(6 MN -#+ %-.-+*+,-% -#.- .7+ -7)+1
E7'%% MN -#+ %-.-+*+,-% -#.- .7+ P.5%+1
Y; ')- 'P ]; .,$*.5% .7+ %#++/1
O.5P 'P -#+ .,$*.5% .7+ %#++/1
:
'P -#+ .,$*.5% .7+ 0'.-%1
]
Y
'P -#+ .,$*.5% .7+ %#++/1
Y;
V:W
C DEFGH :;::
;>?<@;:@2@X@::
N
!! O+7+ $% . /.--+7, *.&+ P7'* -#7++ &$PP+7+,- -3/+% 'P -7$.,05+%1
A
B
C
Q7$-+ -#+ *.-#+*.-$(.5 ,.*+% P'7 2R 9 .,& E $, -#+ -.45+1
2
9
E
-7$.,05+
-7$.,05+
-7$.,05+
VYW
!E 2 P.7*+7 #.% \b; ,+J .//5+ -7++%1
O+ /5.,-% ?: -7++% $, +.(# 7'J1
Q7$-+ #'J *.,3 ('*/5+-+ 7'J% #+ (., /5.,-1
7'J% VYW
C DEFGH :;::
;>?<@;:@2@X@::
#$%&' )*+&
A
!M "#+ GP%-&+G 'P -J' J#'5+ ,)*4+7% .&& )/ -' :<
"#+ -J' ,)*4+7% .7+
.,&
V:W
!B O+7+ .7+ -J' %$&+% 'P . /+,-.0', &7.J, ', . (''7&$,.-+ 07$&1
y
6
5
4
3
2
1
0
1
2
3
4
5
x
6
Q-R B5'- . /'$,- .- M<R ]N1
c'$, M<R YN -' M<R ]N -' &7.J -#+ -#$7& %$&+ 'P -#+ /+,-.0',1
VYW
Q/R "#+ /+,-.0', #.% ',+ 5$,+ 'P %3**+-731
Q7$-+ -#+ (''7&$,.-+% 'P -#+ P$P-# T+7-+S1
M
C DEFGH :;::
;>?<@;:@2@X@::
R
N VYW
O
!C Z5$T+7 .,& E#+, 4'-# J7$-+ &'J, . ,)*4+71
Z5$T+7 %.3%R
My number has 8 hundreds and
Chen’s number only has 3 hundreds.
My number must be bigger.
Z5$T+7 $% ')9 ('77+(-1
GS/5.$, J#31
VYW
!" X$. .,& B$+77+ /5.3 . 0.*+ J$-# (.7&%1
"#+ ,)*4+7% -#.- -')(# .&& )/ -' Y;
H'*+ 'P -#+ ,)*4+7% .7+ *$%%$,01
Q7$-+ -#+ *$%%$,0 ,)*4+7% ', -#+ &$.07.*1
total of 10
5.5
2.6
7.4
total of 10
0.9
9.1
total of 10
1.5
total of 10
total of 10
6.3
5.3
total of 10
total of 10
7.8
3.4
6.6
total of 10
1.8
8.2
total of 10
0.8
4.7
total of 10
V:W
C DEFGH :;::
;>?<@;:@2@X@::
#$%&' )*+&
!@
!N O+7+ $% . ,)*4+7 5$,+1
10 000
0
G%-$*.-+ -#+ ,)*4+7 %#'J, 43 -#+ .77'J1
VYW
!A 2 %(#''5 #.% >>> %-)&+,-%1
"#+ %(#''5 #.% :? (5.%%+%1
G.(# (5.%% #.% ., +K).5 ,)*4+7 'P %-)&+,-%1
Q7$-+ &'J, -#+ ,)*4+7 'P %-)&+,-% $, +.(# (5.%%1
%-)&+,-% VYW
!O Q7$-+ +.(# ,)*4+7 .% . &+($*.51
]d
Y;;
b+
]
Y;;
V:W
C DEFGH :;::
;>?<@;:@2@X@::
!!
E@ X$6+ #.% P$T+ ,)*4+7 (.7&%1
G.(# (.7& #.% . /'%$-$T+ J#'5+ ,)*4+7 ', $-1
"#+ &-'2+ 'P -#+ P$T+ (.7&% $% ?
"#+ .)1+ 'P -#+ P$T+ (.7&% $% ?
"#+
'P -#+ P$T+ (.7&% $% Yb
9)9-F
Q7$-+ -#+ *$%%$,0 ,)*4+7 ', +.(# (.7&1
V:W
E! A'),& +.(# 'P -#+%+ (.5()5.-$',% -' -#+ ,+.7+%- S5)F+ ,)*4+71
"#+ P$7%- ',+ #.% 4++, &',+ P'7 3')1
I)%'1+1 9) 95+ '+-&+G9
S5)F+ '%./+&
]<1b × d
:?\
?Yb1?< " ];d1d<
:d<>1? ÷ Yb
?dY1\ × >1\
V:W
C DEFGH :;::
;>?<@;:@2@X@::
#$%&' )*+&
!E
EE O+7+ $% . 07$& 'P ,)*4+7%1
U7.J . 7$,0 .7'),& -#+ 9S) /7$*+ ,)*4+7%1
]Y
]:
]]
]?
]<
]b
]d
]>
]\
?;
VYW
EM "#+ -+*/+7.-)7+ $% -.6+, $, -J' &$PP+7+,- /5.(+%R 2 .,& 91
°C
20
°C
20
10
10
0
0
–10
–10
–20
–20
A
B
Q7$-+ -#+ &$PP+7+,(+ $, -+*/+7.-)7+ 4+-J++, -#+ -J' /5.(+%1
°E
C DEFGH :;::
;>?<@;:@2@X@::
VYW
!M
EB U7.J . 7$,0 .7'),& -FF -#+ ,)*4+7% -#.- #.T+ . 7+*.$,&+7 'P ] J#+, &$T$&+& 43 d
d;
dY
d:
d]
d?
d<
db
dd
d>
d\
>;
>Y
>:
>]
>?
><
>b
>d
>>
>\
\;
\Y
\:
\]
\?
\<
\b
\d
\>
\\
VYW
EC "#+%+ 7+(-.,05+% #.T+ -#+ G-.+ -&+-1
E.5()5.-+ -#+ *$%%$,0 5+,0-#1
Not drawn to scale
36 cm
24 cm
18 cm
cm
H#'J 3')7 J'76$,01
V:W
C DEFGH :;::
;>?<@;:@2@X@::
#$%&' )*+&
!B
E" D%+ . 7)5+7 -' &7.J . 5$,+ 'P 5+,0-# b1d (*1
VYW
EN "#+ %3*4'5%


.,&

+.(# 7+/7+%+,- . &$PP+7+,- J#'5+ ,)*4+71
2100


130
Q7$-+ J#.- ,)*4+7 +.(# %3*4'5 7+/7+%+,-%1

...................

...................
VYW
EA H#.&+ ]<e 'P -#$% %#./+1
VYW
C DEFGH :;::
;>?<@;:@2@X@::
!C
EO O+7+ .7+ P')7 5$,+ 07./#%1
"#+3 %#'J P')7 %-)&+,-%f g')7,+3% -' %(#''51
graph A
graph B
2.5
2.5
m
k
in
2
l
o
o
h
c
s 1.5
m
1
o
fr
e
c 0.5
n
ta
is
0
D
m
k
n
i
2
l
o
o
h
c
s 1.5
m
1
o
rf
e
c 0.5
n
a
t
s
i
0
D
8:00 8:05 8:10 8:15 8:20 8:25 8:30
8:00 8:05 8:10 8:15 8:20 8:25 8:30
Time
Time
graph C
graph D
2.5
2.5
m
k
in
2
l
o
h 1.5
c
s
m
1
o
fr
e
c 0.5
n
ta
is
0
D
m
k
n
i
2
l
o
h 1.5
c
s
m
1
o
rf
e
c 0.5
n
a
t
s
i
0
D
8:00 8:05 8:10 8:15 8:20 8:25 8:30
8:00 8:05 8:10 8:15 8:20 8:25 8:30
Time
Time
X.-(# +.(# 07./# -' -#+ ('77+(- %-)&+,-1
Q7$-+ -#+ 5+--+7 'P -#+ 07./# ,+S- -' +.(# %-.-+*+,-1
c.*$5. %.3%R h8 J.56+& -' *3 P7$+,&f% #')%+ -#+, J.56+& ', -' %(#''51f
_.'*$ %.3%R h8 J.% 5.-+ %' &.& -''6 *+ -' %(#''5 43 (.71f
F$53 %.3%R h8 P'70'- *3 P''-4.55 6$- .,& #.& -' 0' 4.(6 #'*+ -' 0+- $-1f
O.%%., %.3%R h8 J.56+& %-7.$0#- -' %(#''51f
V:W
C DEFGH :;::
;>?<@;:@2@X@::
!"
TU;HV 3;W=
B+7*$%%$', -' 7+/7'&)(+ $-+*% J#+7+ -#$7&[/.7-3 'J,+& *.-+7$.5 /7'-+(-+& 43 ('/37$0#- $% $,(5)&+& #.% 4++, %')0#- .,& (5+.7+& J#+7+ /'%%$45+1 GT+73
7+.%',.45+ +PP'7- #.% 4++, *.&+ 43 -#+ /)45$%#+7 MDEFGHN -' -7.(+ ('/37$0#- #'5&+7%R 4)- $P .,3 $-+*% 7+K)$7$,0 (5+.7.,(+ #.T+ ),J$--$,053 4++, $,(5)&+&R -#+
/)45$%#+7 J$55 4+ /5+.%+& -' *.6+ .*+,&% .- -#+ +.75$+%- /'%%$45+ '//'7-),$-31
"' .T'$& -#+ $%%)+ 'P &$%(5'%)7+ 'P .,%J+7[7+5.-+& $,P'7*.-$', -' (.,&$&.-+%R .55 ('/37$0#- .(6,'J5+&0+*+,-% .7+ 7+/7'&)(+& ',5$,+ $, -#+ E.*47$&0+
2%%+%%*+,- 8,-+7,.-$',.5
8,-+7,.-$',.5 G&)(.-$',
G&)(.-$', E'/37$0#- 2(6,'J5+&0+*+,-%
2(6,'J5+&0+*+,-% 9''65+-1
9''65+-1 "#$% $% /7'&)(+&
/7'&)(+& P'7 +.(# %+7$+% 'P
'P +S.*$,.-$',% .,& $% P7++53
P7++53 .T.$5.45+ -' &'J,5'.&
&'J,5'.&
.- JJJ1(.*47$&0+$,-+7,.-$',.51'70
JJJ1(.*47$&0+$,-+7,.-$',.51'70 .P-+7 -#+ 5$T+ +S.*$,.-$', %+7$+%1
E.*47$&0+ 2%%+%%*+,- 8,-+7,.-$',.5 G&)(.-$', $% /.7- 'P E.*47$&0+ 2%%+%%*+,-1 E.*47$&0+ 2%%+%%*+,- $% -#+ 47.,& ,.*+ 'P -#+ D,$T+7%$-3 'P E.*47$&0+
F'(.5 GS.*$,.-$',% H3,&$(.-+ MDEFGHNR J#$(# $% . &+/.7-*+,- 'P -#+ D,$T+7%$-3 'P E.*47$&0+1
C DEFGH :;::
;>?<@;:@2@X@::
Download