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SULIT 9/ Mathematics Ogos 0 ¼ jam HGIN PENGURUSN SEKOLH ERSRM PENUH N SEKOLH KEEMERLNGN KEMENTERIN PELJRN MLYSI PENTKSIRN IGNOSTIK KEMIK SP 0 PERUN SIJIL PELJRN MLYSI MTHEMTIS Kertas JM rahan: JNGN

1 SULIT 9/ Mathematics Ogos 0 ¼ jam HGIN PENGURUSN SEKOLH ERSRM PENUH N SEKOLH KEEMERLNGN KEMENTERIN PELJRN MLYSI PENTKSIRN IGNOSTIK KEMIK SP 0 PERUN SIJIL PELJRN MLYSI MTHEMTIS Kertas JM rahan: JNGN UK KERTS SOLN INI SEHINGG IERITHU. Kertas soalan ini mengandungi 0 soalan.. Jawab semua soalan.. Tiap-tiap soalan diikuti oleh empat pilihan jawapan iaitu,, dan. agi tiap-tiap soalan, pilih satu jawapan sahaja. Hitamkan jawapan anda pada kertas jawapan objektif ang disediakan. Kertas soalan ini mengandungi halaman bercetak 9/ 0 Hak ipta PSPSK [Lihat Halaman Sebelah SULIT

2 SULIT 9/ MTHEMTIL FORMULE The following formulae ma be helpful in answering the questions. The smbols given are the ones commonl used. RELTIONS a m a n = a m+ n a m a n = a m n ( a m ) n = a mn - = ad bc d c b a istance = 6 Midpoint, (, ) =, 7 verage speed = distance travelled time taken 8 Mean = 9 Mean = sum of data number of data sum of (class mark frequenc) sum of frequencies 0 Pthagoras Theorem c = a + b P ( ) = n( ) n( S ) P ( ) = P() m = m intercept - intercept 9/ 0 Hak ipta PSPSK SULIT

3 SULIT 9/ SHPES N SPE rea of trapezium = sum of parallel sides height ircumference of circle = d = r rea of circle = r urved surface area of clinder = rh Surface area of sphere = r 6 Volume of right prism = cross sectional area length 7 Volume of clinder = r h 8 Volume of cone = r h 9 Volume of sphere = r 0 Volume of right pramid = base area height Sum of interior angles of a polgon = ( n ) 80 arc length circumfere nce of circle angle subtendedat centre 60 area of sector angle subtendedat centre area of circle 60 P' Scale factor, k = P rea of image = k area of object 9/ 0 Hak ipta PSPSK SULIT

4 SULIT 9/ Epress in standard form. Ungkapkan dalam bentuk piawai Round off 6.9 correct to three significant figures. undarkan 6.9 betul kepada tiga angka bererti / 0 Hak ipta PSPSK SULIT

5 SULIT 9/ What is the value of the digit, in base ten, in the number 0? pakah nilai bagi digit, dalam asas sepuluh, dalam nombor 0? = iagram 7 shows a pentagon PQRST. Straight line RS is parallel to straight line UPT. Rajah 7 menunjukkan sebuah pentagon PQRST. Garis lurus RS adalah selari dengan garis lurus UPT. Find the value of +. arikan nilai iagram 7 Rajah 7 9/ 0 Hak ipta PSPSK SULIT

6 SULIT 6 9/ 8 In iagram 8, TPS is a tangent to the circle PQR at P. The length of arc PR is equal to the length of arc QR. alam rajah 8, TPS ialah tangen kepada bulatan PQR di P. Panjang lengkok PR adalah sama panjang lengkok QR. R T P Q 7 iagram 8 Rajah 8 S Find the value of. arikan nilai / 0 Hak ipta PSPSK SULIT

7 SULIT 7 9/ 9 iagram 9 shows points plotted on a artesian plane. Rajah 9 menunjukkan beberapa titik pada suatu satah artesan T iagram 9 Rajah 9 Which of the point,, or, is the image of point T under a reflection on the line =. ntara titik,, atau, ang manakah imej bagi titik T di bawah pantulan pada garis =. 9/ 0 Hak ipta PSPSK SULIT

8 SULIT 8 9/ 0 In iagram 6, pentagon PꞌQꞌRꞌSꞌTꞌ is the image of pentagon PQRST under an enlargement at centre O. alam Rajah 6,pentagon PꞌQꞌRꞌSꞌTꞌ ialah imej bagi pentagon PQRST di bawah satu pembesaran pada pusat O.. P P ꞌ Q R Tꞌ Q ꞌ R ꞌ O T S S ꞌ iagram 0 Rajah 0 It is given that PT = cm and PꞌTꞌ = 8 cm and the area of PꞌQꞌRꞌSꞌTꞌ is 6 cm. Find the area in cm, of PQRST. iberi bahawa PT = cm dan P T = 8 cm, dan luas PꞌQꞌRꞌSꞌTꞌ ialah 6 cm. arikan luas, dalam cm, PQRST / 0 Hak ipta PSPSK SULIT

9 SULIT 9 9/ Which of the following graphs represent = sin? ntara berikut, ang manakah mewakili graf = sin? / 0 Hak ipta PSPSK SULIT

10 SULIT 0 9/ iagram shows two triangles and E. is a straight line and = 00 cm. alam Rajah, menunjukkan dua segitiga and E. adalah garis lurus dan = 00 cm.. iagram Rajah is a straight line and cos = Find the length,in cm, of E. ialah garis lurus dan kos = ari panjang, dalam cm, E iagram shows the graph of = cos. Rajah menunjukkan graf = kos. - iagram Rajah Which of the points,, and represent the points (0, 0.866) 9/ 0 Hak ipta PSPSK SULIT

11 SULIT 9/ iagram shows a cuboid with a square base PQRS. Rajah menunjukkan kuboid dengan tapak segi empat sama PQRS. T W U V S R N P Q iagram Rajah N is the midpoint of VQ. Name the angle between the line TN and the plane TUVW? N ialah titik tengah VQ. Namakan sudut antara garis TN dengan satah TUVW? NTU NVT NTW NTV In iagram, find the angle of depression of point R from point P. alam Rajah, carikan sudut tunduk titik R dari titik P. P cm cm R iagram Rajah Q / 0 Hak ipta PSPSK SULIT

12 SULIT 9/ 6 Leela is looking to the school flag at the top of a pole. The angle of elevation of Leela s ee to the top of the pole is. If the height of the pole and Leela s ee from horizontal ground is 0 m and.6 m respectivel. Find the distance between Leela and the pole. Leela sedang memerhatikan bendera sekolah di puncak tiang. Sudut dongakan puncak tiang bendera dari mata Leela ialah. Jika tinggi tiang bendera dan paras mata Leela dari tanah mengufuk masing-masing 0 m dan.6 m. ari jarak Leela dari tiang bendera itu m.0 m 0.6 m.8 m 7 In iagram 7, SPT is a tangent to the circle centre O, at point P. alam Rajah 7, SPT ialah tangen kepada bulatan berpusat O, di titik P. Q T R O 6 P S iagram 7 Rajah 7 Find the value of. ari nilai / 0 Hak ipta PSPSK SULIT

13 SULIT 9/ 8 In iagram 8, N is the North Pole, S is the South Pole and NOS is the ais of the earth. PLQ is the Equator and NRPS is Greenwich Meridian. alam Rajah 8, U ialah Kutub Utara, S ialah Kutub Selatan dan UOS ialah paksi bumi. PLQ ialah Khatulistiwa dan NRPS ialah Meridian Greenwich. R N/U P O 0 Q L S iagram 8 Rajah 8 The position of R is Kedudukan R ialah ( N/U, 0 W/) ( N/U, 0 ) ( N/U, 0 ) ( N/U, 0 E/T) 9 (a b) a( a b) a 0ab b a ab b a 0ab b a ab b 9/ 0 Hak ipta PSPSK SULIT

14 SULIT 9/ 0 Epress s s s as a single fraction in it s simplest form. Ungkapkan s s s sebagai satu pecahan tunggal dalam bentuk termudah. s s s ( s s ) s s s 6 s s 7s s p q Given that q, epress q in terms of p. p p q iberi q, ungkapkan q dalam sebutan p. p p p p 8 p p p p p 8 9/ 0 Hak ipta PSPSK SULIT

15 SULIT 9/ Given iberi k k k k 7 7, calculate the value of k., hitung nilai k. = 9/ 0 Hak ipta PSPSK SULIT

16 SULIT 6 9/ Simplif: Ringkaskan: 8 m m - n n m n m n 6m n 6m n List all the integers which satisf both inequalities and Senaraikan semua integer ang memuaskan kedua-dua ketaksamaan.. dan, 0,,,,, 0,,, 0,,,, 0,, 9/ 0 Hak ipta PSPSK SULIT

17 SULIT 7 9/ 6 iagram 6 is a bar chart showing the number of medals obtained b a Sekolah Seri man in a sport championship in the ear 00. Rajah 6 ialah carta palang ang menunjukkan bilangan pingat ang dimenangi oleh Sekolah Seri man dalam kejohanan sukan pada tahun 00. Number of medals ilangan pingat Gold Emas Silver Perak ronze Gangsa Medals Pingat iagram 6 Rajah 6 If pie chart is drawn to represent the given information, calculate the angle sector which represent the bronze medal. Jika satu carta pai dilukis untuk mewakili maklumat ang diberi, hitung sudut sektor ang mewakili pingat gangsa / 0 Hak ipta PSPSK SULIT

18 SULIT 8 9/ 7 Table 7 shows the scores of a group of pupils in a Phsics quiz. Jadual 7 menunjukkan skor ang diperolehi oleh sekumpulan pelajar dalam satu kuiz Fizik. Score/ Skor Number of students ilangan pelajar 0 The mode of the score is Skor mod ialah Table 7 Jadual 7.. 9/ 0 Hak ipta PSPSK SULIT

19 SULIT 9 9/ 8 Which of the following graphs represents Graf manakah ang mewakili 8? 8? / 0 Hak ipta PSPSK SULIT

20 SULIT 0 9/ 9 The Venn diagram below shows the number of elements in set P, set Q and set R. Gambar rajah Venn di bawah menunjukkan bilangan unsur dalam set P, set Q dan set R. P Q 7 R It is given that the universal set, P Q R and n = 8. Find the value of n R '. iberi set semesta P Q R dan n = 8. ari nilai bagi n R ' Given that set M = {,,, 7 }. Find the number of the subset of set M. iberi set M = {,,, 7 }. ari bilangan subset bagi set M / 0 Hak ipta PSPSK SULIT

21 SULIT 9/ iagram shows a Venn diagram with the universal set J V. Rajah menunjukkan gambar rajah Venn dengan set semesta J V. J p V q List all the subsets of set J. Senaraikan semua subset bagi set J. { p} { }, { p } { p }, { q }, { p, q } { }, { p }, { q }, { p, q } iagram Rajah straight line has a gradient and passes through the point ( 6, ). The -intercept of the straight line is Satu garis lurus mempunai kecerunan dan melalui titik ( 6, ). Pintasan- bagi garis lurus itu ialah 9/ 0 Hak ipta PSPSK SULIT

22 SULIT 9/ iagram shows two straight line, PQ and QR, on a artesian plane. Rajah menunjukkan dua garis lurus, PQ dan QR, pada suatu satah artesan. Q P(-,) R It is given that the gradient of PQ is and the distance of QR is 7 units. Find the -intercept of line QR. iberi bahawa kecerunan PQ ialah dan jarak QR ialah 7 unit. ari pintasan- bagi QR. 8 0 iagram Rajah n envelope contains of four blue cards, three red cards and several black cards. card is chosen at random from the envelope. The probabilit of choosing a red card is. Find the number of black cards. Sebuah sampul mengandungi empat keping kad biru, tiga keping kad merah dan beberapa kad hitam. Sekeping kad dipilih secara rawak daripada sampul itu. Kebarangkalian memilih sekeping kad berwarna merah adalah. arikan bilangan kad berwarna hitam. 7 9/ 0 Hak ipta PSPSK SULIT

23 SULIT 9/ basket contains 8 red balls and 8 green balls. hmad puts another red balls and green balls inside the basket. ball is chosen at random from the basket. What is the probabilit that a red ball is chosen? Sebuah bakul mengandungi 8 biji bola merah dan 8 biji bola hijau. hmad memasukkan lagi biji bola merah dan biji bola hijau ke dalam bakul itu. Sebiji bola dipilih secara rawak dari pada bakul itu. pakah kebarangkalian sebiji bola merah akan dipilih? Given that varies directl as, and = 6 when =, epress in terms of. iberi bahawa berubah secara langsung dengan, dan = 6 apabila =. Ungkapkan dalam sebutan. = = 9/ 0 Hak ipta PSPSK SULIT

24 SULIT 9/ 7 The table shows some values of variables P and Q such that P varies inversel as the square root of Q. Jadual menunjukkan sebahagian daripada nilai-nilai bagi pembolehubah P dan Q, dengan keadaan P berubah secara songsang dengan punca kuasa dua Q. P Q 9 Find the relation between P and Q. arikan hubungan antara P dan Q. P Q P Q P Q 8 0 P Q 8 The relation between variables p, q and r is q = and r = 8. alculate the value of r when p = and q = 0. q p. It is given that p = r when Hubungan antara pembolehubah-pembolehubah p, q dan r ialah iberi p = apabila q = dan r = 8. Hitung nilai r apabila p = dan q = 0. q p. r / 0 Hak ipta PSPSK SULIT

25 SULIT 9/ 9/ 0 Hak ipta PSPSK SULIT 9 Given that w, find the value of w. iberi w, cari nilai w = EN OF QUESTION PPER KERTS SOLN TMT apatkan Skema di

MATEMATIK KERTAS 1 (1449/1) SET 6

MATEMATIK KERTAS 1 (1449/1) SET 6 1 Round off 34. 376 correct to three significant figures. Bundarkan 34. 376 betul kepada tiga angka bererti. A 34. 3 B 34. 4 C 34. 38 D 34. 40 2 Express 395 000 in the