Download - PP1 MATH 2014.doc
-
8/19/2019 PP1 MATH 2014.doc
1/18
1. (a) The venn diagram in the answer space shows set A and set B such that the
universal set, ξ = A U B .
On the diagram in the answer space, shade the set B’
Gambar rajah Venn di ruang jawapan menunjukkan set A dan set B dengan
keadaan set semesta, ξ = A U B.
Pada rajah di ruang jawapan, lorek set B’
(b) The enn diagram in the answer space shows set !, set " and set # such that the
universal set, ξ = ! U " U #$
On the diagram in the answer space, shade the set ( ! U #) % "$
Gambar rajah Venn di ruang jawapan menunjukkan set J, set K dan set
dengan keadaan set semesta, ! " J # K # . Pada rajah di ruang jawapan, lorek set $ J # % & K. &' marks
&' markah
Answer ( Jawapan )
$a% A
B
$b%
K
J
-
8/19/2019 PP1 MATH 2014.doc
2/18
*. The venn diagram in the answer space shows set P , + and such that the
universal set, ξ = P U + U .
Gambar rajah Venn di ruang jawapan menunjukkan set P , + and dengan
keadaan set semesta, ξ = P U + U .
On the diagram in the answer space, shade
Pada rajah di ruang jawapan, lorekkan
$a% P & +
(b) P & $ + # %’ &' marks
&' markah Answer ( Jawapan )
$a% P +
$b% P +
'. alculate the value o* m and o* n that satis*+ the *ollowing simultaneous linear
-
8/19/2019 PP1 MATH 2014.doc
3/18
euations$
-itung nilai m dan nilai n ang memuaskan persamaan linear serentak berikut )
'm - n = .
m / 0n = -'
/. alculate the value o* 0 and o* that satis*+ the *ollowing simultaneous linear
euations$
-itung nilai 0 dan nilai ang memuaskan persamaan linear serentak berikut )
0
1 0 - 0 = 1'
' 0 / 2 = -0
. Using *actorisation, solve the *ollowing uadratic euation3
-
8/19/2019 PP1 MATH 2014.doc
4/18
2enggunakan pem3aktoran, selesaikan persamaan kuadratik berikut )
&2 marks
' 04 / 0 = 5 0 &/ markah
4. 6olve the *ollowing uadratic euation3
5elesaikan persamaan kuadratik berikut )
&2 marks
0(' 0 - .) = 17 - 8 0 &2 markah
6. 9n :iagram 5, the straight line K is parallel to the straight line P, =.
2 0 / '$
The point (., -0) lies on the straight line K and 7 is the origin$
-
8/19/2019 PP1 MATH 2014.doc
5/18
8alam ajah 6, garis lurus K adalah selari dengan garis lurus P, ".
2 0 9 '.
:itik $, ;*% terletak di atas garis lurus K dan 7 ialah asalan.
".
2 0 9 '
P 7 . ( . , -0 ) 0
;ind K . :iagram , shows two parallel lines, 7P and +$ 6traight line P is parallel to the
-a menunjukkan dua garis lurus selari, 7P dan +. Garis lurus P adalah selari dengan paksi; dan 7 ialah asalan.
-
8/19/2019 PP1 MATH 2014.doc
6/18
P $ ;*, '% + $/, *%
? 0
:iagram > ajah >
(a) ;ind the euation o* the straight line P$
-
8/19/2019 PP1 MATH 2014.doc
7/18
' is greater than 1$
' lebih besar daripada 1$
(b) ?rite two implications based on the *ollowing compound statement@
:ulis dua implikasi berdasarkan pernataan majmuk berikut.
(c) ?rite down remise 0 to complete the *ollowing argument3
:ulis Premis * untuk melengkapkan hujah berikut )
remise 1 @ 9* m is an even number then m is a multiple o* 0$
Premis 1 @ Jika m ialah nombor genap maka m ialah suatu gandaan bagi *.remise 0 > Premis * @ $$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$
onclusion @ m is not an even number$
Kesimpulan ) m bukan nombor genap.
(d) aCe a general conclusion b+ induction *or the seuence o* numbers
11, '2, 17., $$$ ?hich *ollows the *ollowing pattern$
Buat satu kesimpulan umum se=ara aruhan bagi nombor 11, '/, 1?, ... ang mengikut pola berikut.
11 = 2(') - 1
'2 = 2(') - 0
17. = 2(') - '
&8 marks
Answer ( Jawapan ) & 4 markah
$a%
$b% 9mplication 1> mplikasi 1 @ $$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$
9mplication 0> mplikasi * ) .......................................................................................
$=% remise 0 ( Premis * ) ......................................................................................
2 0 / 2 = 18 i* and onl+ i* 0 = '
/0 9 / " 14 jika dan hana jika 0 " '
1
0
'
-
8/19/2019 PP1 MATH 2014.doc
8/18
$d%
17$ (a) omplete the *ollowing statement using the uanti*ier Dall’ or Dsome’, to maCe ita true statement$
engkapkan pernataan berikut dengan menggunakan kuantiti Csemua’ atau
Csebilangan’, untuk membentuk suatu pernataan benar.
(b) ?rite down remise 0 to complete the *ollowing argument@
:ulis Premis * untuk melengkapkan hujah berikut )remise 1 @ 9* 0 is *actor o* E, then 0 = '
Premis 1 ) Jika 0 ialah 3aktor bagi @, maka 0 " '
remise 0 > Premis * @$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$
onclusion @ 0 is not a *actor o* E$ Kesimpulan ) 0 bukan 3aktor bagi @.
(c) 6tate the converse o* the *ollowing statement and hence determine whether its
converse is true or *alse$
atakan akas bagi pernataan berikut dan seterusna natakan sama ada
akas itu benar atau palsu.
(d) 9t is given that the n term o* the seuence -5, -0, ', , $$$$ an be represented b+
.n - 10, where n = 1, 0, ', 2, $$$$$$$aCe one conclusion b+ deduction *or the 17 term o* the seuence$
8iberi bahawa sebutan ke;n bagi urutan ;6, ;*, ', >, .... Boleh diwakili oleh
n ; 1* dengan keadaan n " 1, *, ', /, ....... Buat satu kesimpulan se=ara deduksi untuk sebutan ke;1? bagi urutan itu.
& 8 marks
&8 markah Answer ( Jawapan )
$a%
$b% remise 0 ( Premis * ) ...........................................................................................
$=%
$d% onclusion ( Kesimpulan
$$$$$$$$$$$$$$$$$$$$$$$ uadrilaterals have *our sides$
$$$$$$$$$$$$$$$$$$$$$$$ sisi empat mempunai empat sisi.
9* 0 F , then 0 F . Jika 0 D >, maka 0 D
th
th
-
8/19/2019 PP1 MATH 2014.doc
9/18
11$ 9n :iagram 11, P+ and 5 are arcs o* two di**erent circles with common centre 7$7+ is a straight line$
8alam ajah 11, P+ dan 5 adalah lengkok bagi dua bulatan ang berlainan
dengan pusat sepuna 7. 7+ ialah garis lurus.
P
+
5 7
:iagram 11> ajah 11
9t is given that OG = GH = 12 cm$ Use E = 5
00
, calculate
8iberi bahawa 7+ " + " 1/ =m. Guna E "5
00 , hitung
$a% the perimeter, in cm, o* the sector 7P+.
Perimeter, dalam =m, sektor 7P+.
$b% the area, in cm4, o* the whole diagram
luas, dalam =mF, seluruh rajah itu. &8 marks
&8 markahAnswer ( Jawapan )
$a%
$b%
05 I2. I
-
8/19/2019 PP1 MATH 2014.doc
10/18
10$ :iagram 10 shows two sectors 72 and 7P+ with the same centre 7 and auadrant +:7 with centre +$
ajah 1* menunjukkan dua sektor bulatan 72 dan 7P+, kedua;duana berpusat
7 dan sukuan bulatan +:7 berpusat +.
7
: 87 o
P +
2
:iagram 10 > ajah 1*Gien 72 = 12 cm and +: = 5 cm$ Using E =
5
00, calculate
8iberi 72 " 1/ =m dan +: " 6 =m. 8engan menggunakan E "5
00 , hitungkan
(a) the perimeter o* the whole diagram$
perimeter seluruh rajah.(b) the area o* the shaded region$
luas kawasan ang berlorek. &8 marks
&8 markah
Answer ( Jawapan )$a%
$b%
-
8/19/2019 PP1 MATH 2014.doc
11/18
1'$ :iagram 1' show a solid *ormed b+ combining a right p+ramid with a hal* c+linder on the rectangular plane 8HIG$
ajah 1' menunjukkan sebuah pepejal ang dibentuk daripada =antuman sebuah
piramid tegak dengan sebuah separuh silinder pada satah segi empat tepat 8HIG.
8
G
H I
:iagram 1'> ajah 1'
8H = 5 cm, HI = 17 cm and the height o* the p+ramid is E cm
alculate the volume, in cm4, o* the solid$ (Use E =5
00)
8H " 6 =m, HI " 1? =m, dan tinggi piramid ialah @ =m.
-itungkan isi padu dalam =mF, pepejal itu. $Gunakan E "5
00 %
&2 marks&2 markah
Answer ( Jawapan )
-
8/19/2019 PP1 MATH 2014.doc
12/18
12$ :iagram 12 shows a solid right circular c+linder, A solid cone is taCen out *rom thec+linder$
ajah 1/ menunjukkan sebuah pepejal berbentuk silinder membulat tegak. 5ebuah
pepejal berbentuk kon dikeluarkan daripada silinder itu.
8 =m
:iagram 12> ajah 1/
9t is given that the radius o* the c+linder is 5 cm and the volume o* the remaining
solid is 1 75 cmJ$
Using E =5
00, calculate the height, in cm, o* the c+linder$
8iberi bahawa jejari silinder ialah 6=m dan isi padu pepejal ang tinggal ialah
1?6> =m.
2enggunakan E "5
00 , hitung tinggi, dalam =m, silinder itu.
&2 marks
&2 markah Answer ( Jawapan )
-
8/19/2019 PP1 MATH 2014.doc
13/18
1.$ :iagram 1. shows the marCs obtained b+ a group o* students in a athematics test$ ajah 1 menunjukkan markah ang diperoleh sekumpulan '? orang murid dalam
suatu ujian 2atematik
:iagram 1.> ajah 1
(a) Based on the data in :iagram 1., complete Table 1. in the answer space on page1E$ &2 marks
Berdasarkan data di ajah 1, lengkapkan Jadual 1 di ruang jawapan pada
halaman 1@$ &2 markah
(b) Based on table 1., calculate the estimated mean marC o* a student$ &' marks
Berdasarkan jadual 1, hitung min anggaran markah bagi seorang murid $ &' markah
(c) ;or this part o* the uestion, use the graph paper provided on page 07$ #ntuk =eraian soalan ini, gunakan kertas gra3 ang disediakan pada halaman *?.
B+ using the scale o* 0 cm to 17 marCs on the horiKontal a
-
8/19/2019 PP1 MATH 2014.doc
14/18
Answer ( Jawapan )
$a%
arCs
2arkah
;reuenc+
Kekerapan
idpoint
:itik tengah
? ; @ ? /.
1? ; 1@
6? ; 6@ ? 6/.
Table 1. ( Jadual 1
$b%
$=% He*er graph on page 07$ ujuk gra3 pada halaman *?
$d%
-
8/19/2019 PP1 MATH 2014.doc
15/18
Lraph *or Guestion 1.Gra3 untuk soalan 1
-
8/19/2019 PP1 MATH 2014.doc
16/18
18$ Table 18$1 shows the *reuenc+ distribution o* the scores obtained b+ a group o* 7students in a spelling contest$
Jadual 14.1 menunjukkan taburan kekerapan skor ang diperoleh sekumpulan >?
orang murid dalam satu pertandingan mengeja.
Table 18$1> Jadual 14.1
$a% 6tate the modal class &1 mark
atakan kelas mod. & 1 markah
$b% Based on Table 18$1 complete Table 18$0 in the answer space on page 00$
&' mark
Berdasarkan Jadual 14.1, lengkapkan Jadual 14.* di ruang jawapan padahalaman **. &' markah
$=% alculate the estimated mean score o* the group o* students$ &' marks -itung min anggaran bagi skor kumpulan murid itu. &' markah
$d% ;or this part o* the uestion, use the graph paper provided on page 0'$
#ntuk =eraian soalan ini, gunakan kertas gra3 ang disediakan pada halaman *'.
B+ using the scale o* 0 cm to . scores on the horiKontal a
-
8/19/2019 PP1 MATH 2014.doc
17/18
2enggunakan ogi3 ang dilukis di 16 $d%, =ari skor ang paling rendah bagi
membolehkan seseorang murid itu memenangi hadiah. & 1 markah
Answer ( Jawapan )$a%
$b%6cores
5kor
;reuenc+
kekerapan
idpoint
:itik tengah
Upper Boundar+
5empadan atas
umulative *reuenc+
Kekerapan longgokan
? ; / ? * /. ?
;@ /
1? ; 1/ 1*
1 ; 1@ 14
*? ; */ *4
* ; *@ 1
'? ; '/
' ; '@ * >?
Table 18$0 ( Jadual 14.*
$=%
$d% He*er graph on page 0'$
ujuk gra3 pada halaman *'
$e%
-
8/19/2019 PP1 MATH 2014.doc
18/18
Lraph *or Guestion 18
Gra3 untuk soalan 14