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8/18/2019 Mathematics Form 3 PMR
1/16
SULIT
ANGKA GILIRAN
NO. KAD PENGENALAN
PENILAIAN MENENGAH RENDAH 2009PEPERIKSAAN PERTENGAHAN TAHUN TINGKATAN 3
mMATHEMATICS 50/2 mKertas2
Ju
14
3 jam Satu !am em"at "u#u$ #%ma m%%t
mm
JANGAN &UKA KERTAS S'ALAN
SEHINGGA DI&ERITAHU
1. This question paper consists of 20 questions.
2. Answer a## questions.
3. Answers must be written clearly in the answer
space provided .
4. Show your working . It may help you to get marks.
5. If you wish to change your answer , neatlycross out the answer . Then write down the
new answer .
6. The diagrams in the questions provided are
not drawn to scale unless stated .
7. The marks allocated for each question or
parts of a question are shown in brackets.
8. A list of formulae is provided on pages 2 and 3.
9. Use of non-programmable scientific calculator is (t a##()e* for this paper .
________________________________________________________________________
Kertas sa!a" #"# me"$a"%&"$# 16 'a!ama" (er)eta*
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MATHEMATICS AND SCIENCE TUT'RIAL
Tutoria
MAT &S!I"#!"
0
T(ta#
20
-9
-2
-3
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-5
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-1
1
9
-0
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2
3
.
5
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"$aminer scode
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&est#" &!!0ar*s
0ar*sO(ta#"e%
6
2
2
3
3
2
2
3
2
3
5
2
3
2
4
5
54
4
2
2
8/18/2019 Mathematics Form 3 PMR
2/16
SULIT 2 50/2
m
MATHEMATICAL 'RMULAE
The following formulae may be helpful in answering the questions. The symbols given are
commonly used .
RELATI'NS
1 nmnm
aaa +
=×
2 nmnm aaa −=÷
3 ( ) mnnm aa =
4 D#sta")e 2122
12 99 y y $ $ −+−
5 0#%/#"t
$, y
++2,2
2121 y y $ $
6 A:era$e s/ee% ta*e"t#me
tra:e!!e%%#sta")e
7 0ea" %ata; "&m(er
%ata; s&m
8 P
8/18/2019 Mathematics Form 3 PMR
3/16
SULIT 3 50/2
m
SHAPES AND SPACE
1 Area ; re)ta"$!e !e"$t' = >#%t'
2 Area ; tr#a"$!e 'e#$'t (ase2
1××
3 Area ; /ara!!e!$ram (ase = 'e#$'t
4 Area ; tra/e?#&m 'e#$'ts#%es /ara!!e!; s&m2
1××
5 #r)&m;ere")e ; )#r)!e @d 2 @r
6 Area ; )#r)!e @r 2
7 &r:e s&r;a)e area ; )
11 !&me ; )
1 @r 2h
13 !&me ; s/e'er 3
4 @r 3
14 !&me ; r#$'t /
8/18/2019 Mathematics Form 3 PMR
4/16
SULIT . 50/2
m
C6 marks
Answer a## questions.
- a!)&!ate t'e :a!&e ; 43 86 6 = 12. C2 marks
m
Answer F
2 a!)&!ate t'e :a!&e ; 5.44
327 ×
−− a"% e/ress t'e a"s>er as a %e)#ma!.
C2 marks
Answer F
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-
2
2
2
8/18/2019 Mathematics Form 3 PMR
5/16
SULIT 5 50/2
m
3 a #"% t'e :a!&e ; .53.
b a!)&!ate t'e :a!&e ; .18
12
3
−
C3 marks
Answer F
a
b
. !:e ea)' ; t'e ;!!>#"$ !#"ear eH&at#"sF
a $ 3 12
b 62
35+=
+ $
$
C3 marks
Answer F
a
b
+L%$at se,e#a$
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3
.
3
3
8/18/2019 Mathematics Form 3 PMR
6/16
SULIT 50/2
m
5 D#a$ram 1 s'>s a /e"ta$" &'(ST a"% (S a $r#% ; eH&a! sH&ares. (S #s t'e #ma$e ; (S &"%er a rtat#" ; 9 )!)*>#se a(&t /#"t ).
O" D#a$ram 1 #" t'e a"s>er s/a)e, )m/!ete t'e #ma$e ; /e"ta$" &'(ST .C2 marks
Answer F
&
'
(
S
T
( S B B
)
D#a$ram 1
50/2 + 29 -a* #/ta 0at'emat#)s a"% )#e")e &tr#a! SULIT
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.
5
2
8/18/2019 Mathematics Form 3 PMR
7/16
SULIT 50/2
m
D#a$ram 2 s'>s t> /!
8/18/2019 Mathematics Form 3 PMR
8/16
SULIT 1 50/2
m
1 #m/!#;< 3 $ 12 7 $ 4. C2 marks m Answer F
9 a #"% t'e :a!&e ; .264 31
×
b #m/!#;<( )
.2
1633
5
−k
k
C3 marks
Answer F
a
b
-0 #m/!#;< ( ) .84 54223 −− ÷ nmnm C2 marksm
Answer F
50/2 + 29 -a* #/ta 0at'emat#)s a"% )#e")e &tr#a! SULITmm
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1
2
-0
9
2
3
8/18/2019 Mathematics Form 3 PMR
9/16
SULIT 9 50/2
m
-- a(!e 1 s'>s t'e :e'#)!es &se% (< 12 st&%e"ts ; 0K . 0ar< t $ t s)'!.
T4"es ( 6e$%7#es Num,er ( stu*ets
J#)s a" #")m/!ete /#e )'art.
m/!ete t'e /#e )'art t re/rese"t a!! t'e #";rmat#" #" a(!e 1.
C5 marks
Answer F
a
b
J&s
9I
D#a$ram 3
+L%$at se,e#a$
50/2 + 29 -a* #/ta 0at'emat#)s a"% )#e")e &tr#a! SULITmm
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--
5
8/18/2019 Mathematics Form 3 PMR
10/16
SULIT -0 50/2
m
-2 a(!e 2 s'>s t'e res&!ts )"%&)te% (< a )m/&ter )m/a"< re$ar%#"$ t'e "&m(er ; )m/&ters >"e% (< 3 ;am#!#es.
Num,er ( 7(m"uters 1 2 3 4
Num,er ( am%#%es 3 1 6 6 5
a(!e 2
a tate t'e m%e.
b #"% t'e mea" "&m(er ; )m/&ters >"e%.C3 marks
Answer F
a
b
-3 G#:e" t'at ( )( )212 333 $ $ =− , )a!)&!ate t'e :a!&e ; $. C2 marksm
Answer F
50/2 + 29 -a* #/ta 0at'emat#)s a"% )#e")e &tr#a! SULIT
mm
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-2
3
-3
2
8/18/2019 Mathematics Form 3 PMR
11/16
SULIT -- 50/2
m
-. D#a$ram 4 )"s#sts ; t> tr#a"$!es, &'(, (ST a"% a sH&are &'TU .
&
' (
S
T
U
6 )m
8 )m
18 )m
5 )m
D#a$ram 4
a!)&!ate t'e /er#meter, #" )m, ; t'e s'a%e% re$#". C4 marks
m
Answer F
+L%$at se,e#a$
50/2 + 29 -a* #/ta 0at'emat#)s a"% )#e")e &tr#a! SULIT
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-.
4
8/18/2019 Mathematics Form 3 PMR
12/16
SULIT -2 50/2
m
-5 D#a$ram 5 #" t'e a"s>er s/a)e s'>s t> sH&ares &'TU a"% '(ST . + , , a"% are t'ree m:#"$ /#"ts #" %#a$ram.
a + #s a m:#"$ /#"t #" t'e %#a$ram s&)' t'at #t #s a!>a
# t'e !)&s ; , s&)' t'at #t #s eH%#sta"t ;rm ;rm t'e stra#$'t !#"es &'a"% &U ,
## t'e !)&s ; s&)' t'at T 'T .
c -e")e, mar* >#t' t'e s
8/18/2019 Mathematics Form 3 PMR
13/16
SULIT -3 50/2
m
- Set squares and protractors are not allowed for this question.
D#a$ram 6 s'>s tr#a"$!e ./M .
D#a$ram 6
a s#"$ "!< a r&!er a"% a /a#r ; )m/asses, )"str&)t tr#a"$!e ./M &s#"$ t'emeas&reme"ts $#:e", (e$#""#"$ ;rm t'e stra#$'t !#"e .M /r:#%e% #" t'e
a"s>er s/a)e.
b Jase% " t'e %#a$ram )"str&)te% #" - a, meas&re t'e %#sta")e, #" )m,
(et>ee" /#"t . a"% /. C5 marks
Answer F
a
. M
b ./ . )m
+L%$at se,e#a$
50/2 + 29 -a* #/ta 0at'emat#)s a"% )#e")e &tr#a! SULIT
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.
/
M
3
2.5 )m
-
5
8/18/2019 Mathematics Form 3 PMR
14/16
SULIT -. 50/2
m
- D#a$ram 7 s'>s t> tr#a"$!es &'T a"% '(S .
& ' (
S
T
$ )m
y )m
1 )m
6 )m 12 )m
8 )m
D#a$ram 7
#"% t'e :a!&e ; $ y. C4 marksm
Answer F
50/2 + 29 -a* #/ta 0at'emat#)s a"% )#e")e &tr#a! SULIT
mm
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use
-
4
8/18/2019 Mathematics Form 3 PMR
15/16
SULIT -5 50/2
m
-1 a(!e 1 s'>s t'ree a)t#:#t#es /art#)#/ate% (< a $r&/ ; 5 st&%e"ts.
A7t%6%t%es Num,er ( stu*ets
'ess 24
-)*e< y
'#r 18
a(!e 1
a #"% t'e :a!&e ; y.
b -e")e, re/rese"t a!! t'e %ata ;rm t'e ta(!e (< %ra>#"$ a (ar )'art #" t'e a"s>er
s/a)e.
C4 marks
Answer F
N&m(er ; st&%e"ts
A)t#:#t#es
'ess -)*e< '#r )
4
8
12
16
2,
24
28
+L%$at se,e#a$
50/2 + 29 -a* #/ta 0at'emat#)s a"% )#e")e &tr#a! SULIT
mm
%or "$aminer
use
-1
4
8/18/2019 Mathematics Form 3 PMR
16/16
SULIT - 50/2
m
-9 #m/!#;< ( ) .492 2 q pqq p −+− C2 marksm
Answer F
20 #"% t'e :a!&e .22 312
22
1
nmnm−÷
C2 marks
m Answer F
END ' 8UESTI'N PAPER
50/2 + 29 -a* #/ta 0at'emat#)s a"% )#e")e &tr#a! SULITmm
%or "$aminer s
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20
-9
2
2