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1 SULIT 9/ Matematik Kertas Mei 00 Kertas jam UNIT EERIKSN & ENILIN SEKOLH MENENGH KENGSN TUNKU ESR URHNUIN 70 SERI MENNTI, NEGERI SEMILN EERIKSN ERTENGHN THUN TINGKTN 00 SULIT MTEMTIK Kertas Satu jam lima belas minit JNGN UK KERTS SOLN INI SEHINGG IERITHU. Kertas soalan ini mengandungi 0 soalan.. Jawab semua soalan.. Jawab dengan menghitamkan ruangan ang betul pada kertas jawapan.. agi setiap soalan hitamkan satu ruangan sahaja.. Sekirana anda hendak menukarkan jawapan, padamkan tanda ang telah dibuat. Kemudian hitamkan jawapan ang baru. 6. Rajah ang mengiringi soalan tidak dilukiskan mengikut skala kecuali dinatakan. 7. nda dibenarkan menggunakan kalkulator saintifik ang tidak boleh diprogram. i Sediakan Oleh i Semak Oleh (Sunita binti Mukhtar ) 9/@00 Kertas soalan ini mengandungi halaman bercetak [Lihat sebelah SULIT
2 Rumus-rumus berikut boleh membantu anda menjawab soalan. Simbol-simbol ang diberi adalah ang biasa digunakan.. a m n m+ n a = a. ERKITN. a m a n = a m n m mn. ( ) n a = a d b. = ad bc c a. ( ) = n( ) n( S) 6. ( ') = ( ) 7. Jarak = ( ) + ( ) 8. Titik Tengah + + =, (, ) 9. urata laju = jarak ang dilalui masa ang diambil 0. Min =. Min = hasil tambah nilai data bilangan data hasil tambah( nilai titik tengah keker apan ) hasil tambah keker apan. Teorem ithagoras c = a + b.. m = pint asan m = pint asan ENTUK N RUNG
3 . Luas trapezium = hasil tambah dua sisi selari tinggi. Lilitan bulatan = πd = πj. Luas bulatan = πj. Luas permukaan melengkung silinder = πjt. Luas permukaan sfera = πj 6. Isipadu prisma tegak = luas keratan rentas panjang 7. Isipadu silinder = πj t 8. Isipadu kon = πj t 9. Isipadu sfera = πj 0. Isipadu piramid tegak = luas tapak tinggi. Hasil tambah sudut pedalaman poligon = ( n ) 80 0 panjang lengkok sudut pusat. = 0 lilitan bulatan 60 luas sektor sudut pusat. = 0 luas bula tan 60 '. Faktor skala, k =. Luas imej = k luas objek
4 nswer ll uestions Round of to three significant figures = Epress 000 in standard form The area of rectangular plot is 7.km. Its width is 00m. The length, in m, of the nurser plot is Epress 76 8 as a number in base five = T S W R V iagram U
5 In iagram, RST is a regular octagon. RUVW is a regular pentagon. Find the value of T o 0 S iagram R In iagram, RS is a square and RT is a isosceles. Find the value of iagram O In iagram, dan S is a tangent to the circle centre =. Value of is In iagram shows two vertical poles, and YX, on the horizontal plane, o S m Y 0 m X iagram
6 The angle of depression of verte Y from vertec is 0. alculate the angle of elevation of verte Y from verte X cm 6 cm iagram In iagram, is a straight line. is 0. Find the value cos X Which one of the following graphs represents = cos o for 0 80? Y
7 iagram 6 shows a right prism with a horizontol base ELKG. F J E L G IGRM 6 Name the angle between line FK and the plane EFG. K KFE KFG KEF KGF 0 + = iagram 7, M is the image of M under a translation. T is the image of T under a same translation. iagram 7 (-, 7) (, ) (-, ) (6, -) 6 In iagram 8, the triangle R is the image of the triangle ST under an enlargement iagram 8 Find the scale of the enlargemet 7
8 7 iagram 9 shows two straight lines, ST and S T drawn on a square grid S T is the image of ST under a rotation. Which of points,,, is the centre of the rotation iagram 9 8 ( )() ( ) = =, then p = p 6 8 u v 8 v 0 = uv v u u u u + u u u 8
9 r Given that = r. Epress r in terms of s. s s ( s) ( + s) (s ) (s ) m Simplif ( ) m m m m m The gradient of the straight line - = - - Given that = 9, find the value of List all the integers of t that saticf the inequlities t 8< t + t 0,,, -, 0,,,, -, 0,,, -, -, 0,,,, 6 + = The region defined b the inequalities
10 p = 6 8 If ( ) q, then p + q = = Which graph represents = +? O O O - O - Find the -intercept of the straight line + = 0
11 Given that =, R = R, and ' R = R. the Venn diagram that represents these relationships is R R R R iagram 0 is a venn diagram which shows the universal set ξ = and set ξ iagram 0 The shaded region in the venn diagram represents the sets iagram is venn diagram which shows the elements of sets, and R iagram..6...
12 If the universal set ξ = R, then set '. is {, } {,, } {, 6 } {,,6 } It is given that. w T and T = when = and w = 6. Epress T in terms of w and w w w 6 Given that and = when RS R = and = 7. w R = and S = 6. alculate value of S when iagram shows some number cards 7 9 iagram card is picked at random. State the probabilit that a prime number is picked / / / /6 8 lass estari consists of male students and female srudents. The number of male students in the class is 6. If one student is chosen at random, find the probabilit of choosing a male student is / 9. etermine the number of female in estari? Table shows the number of cars that visited a service centre for consecutive das
13 The mean is as Number of cars Monda 0 Tuesda 0 Wednesda 0 Thursda 0 Frida 0 Table Table shows the distribution of the scores of 0 students in a health quiz Score Frequenc 6 7 Table If the above data is represented using a pie chart, then the angle of the sector of the modal score is EN OF THE UESTIONS ER :sue
SEKTOR SEKOLAH BERASRAMA PENUH BAHAGIAN SEKOLAH KEMENTERIAN PELAJARAN MALAYSIA PEPERIKSAAN AKHIR TAHUN TINGKATAN 4 2006 MATEMATIK.
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