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

Documents

PP1 MATH 2014.doc