SULIT 1449/1 BAHAGIAN PENGURUSAN SEKOLAH BERASRAMA PENUH DAN SEKOLAH KECEMERLANGAN KEMENTERIAN PELAJARAN MALAYSIA
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1 449/ MTEMTIK Kertas Mei 0 4 jam HGIN PENGURUSN SEKOLH ERSRM PENUH N SEKOLH KEEMERLNGN KEMENTERIN PELJRN MLYSI PEPERIKSN PERTENGHN THUN TINGKTN 5 0 MTEMTIK Kertas Satu jam lima belas minit JNGN UK KERTS SOLN INI SEHINGG IERITHU. Kertas soalan ini adalah dalam dwibahasa.. Soalan dalam bahasa Inggeris mendahului soalan yang sepadan dalam bahasa ahasa Melayu.. alon dikehendaki membaca maklumat di halaman. Kertas soalan ini mengandungi 6 halaman bercetak. 449/ 0 Hak ipta SP
2 MTHEMTIL FORMULE RUMUS MTEMTIK The following formulae may be helpful in answering the questions. The symbols given are the ones commonly used. Rumus-rumus berikut boleh membantu anda menjawab soalan. Simbol-simbol yang diberi adalah yang biasa digunakan. RELTIONS PERKITN a m x a n = a m+ n 0 P ( ) = n ( ) n( S) a m a n = a m n P ( ) = P() ( a m ) n = a mn 4 - = ad bc d c b a m = y x y x 5 istance / Jarak = ( x y m = x) ( y ) y intercept x intercept x x y y 6 Midpoint/ Titik tengah ( x, y ) =, m = pintasan - y pintasan - x 7 verage speed = distance travelled 4 Pythagoras Theorem time taken Teorem Pithagoras c = a + b Purata laju = jarak yang dilalui masa yang diambil 8 Mean = sum of data number of data Min = Hasil tambah nilai data ilangan data 9 Mean = sum of (classmark frequency) sum of frequencies Min = Hasil tambah ( nilai titik tengah kelas kekerapan ) hasil tambah kekerapan 449/ 0 Hak ipta SP
3 SHPES N SPE ENTUK N RUNG rea of trapezium = sum of parallel sides height Luas trapezium = hasil tambah dua sisi selari tinggi ircumference of circle = d = r Lilitan bulatan = d = j rea of circle = r Luas bulatan = j 4 urved surface area of cylinder = rh Luas permukaan melengkung silinder = jt 5 Surface area of sphere = 4r Luas permukaan sfera = 4j 6 Volume of right prism = cross sectional area length Isipadu prisma tegak = luas keratan rentas x panjang 7 Volume of cylinder = r h Isipadu silinder = j t 8 Volume of cone = r h Isipadu kon = j t 4 9 Volume of sphere = r 4 Isipadu sfera = j 0 Volume of right pyramid = base area height Isipadu piramid tegak = luas tapak tinggi 449/ 0 Hak ipta SP
4 Sum of interior angles of a polygon = ( n ) 80 Hasil tambah sudut pedalaman poligon = ( n ) 80 arc length circumference of panjang lengkok = lilitan bulatan angle subtended at centre circle 60 sudut pusat 60 area of sector angle subtended at centre area of circle 60 luas sektor = sudut pusat luas bulatan 60 P' 4 Scale factor, k = P P' Faktor skala, k = P 5 rea of image = k area of object Luas imej = k luas objek 449/ 0 Hak ipta SP 4
5 Round off 7 97 correct to three significant figures. undarkan 7 97 betul kepada tiga angka bererti x x 0 5 = 4.5 x x x x / 0 Hak ipta SP 5
6 4 iagram 4 shows a rectangle with width of.4 km and length.6 km. The shaded area represent 7.5% of the total area. Find the value of x. Rajah 4 menunjukkan sebuah segiempat tepat berukuran.4 km lebar dan.6 km panjang. Luas kawasan berlorek mewakili 7.5% daripada luas keseluruhan. ari nilai x..6 km.4 km 00 m x m iagram 4 Rajah 4.5 x 0.5 x x 0.7 x Express 000 as a number in base eight. Ungkapkan 000 sebagai nombor dalam asas lapan / 0 Hak ipta SP 6
7 6 00 = In iagram 7, PQRST and PJKLMT are regular pentagon and hexagon. alam Rajah 7, PQRST dan PJKLMT adalah pentagon dan heksagon sekata. x J Q K P R L The value of x is Nilai x ialah T iagram 7 Rajah 7 S M 449/ 0 Hak ipta SP 7
8 8 In iagram 8, IJKLMF is a regular hexagon and MGHI is a parallelogram. GFM is a straight line. alam Rajah 8, IJKLMF adalah heksagon sekata dan MGHI adalah segi empat selari. GFM adalah garis lurus. G F M x H I L J K iagram 7 Rajah 7 The value of x is Nilai x ialah / 0 Hak ipta SP 8
9 9 In iagram 9, PQR is a tangent to the circle QST at Q. QS is diameter of the circle. alam Rajah 9, PQR ialah tangen kepada bulatan QST di Q. QS ialah diameter bulatan tersebut. R Q P xº T y y iagram 9 Rajah 9 S Find the value of x. arikan nilai x / 0 Hak ipta SP 9
10 0 iagram 0 shows five pentagons drawn on square grid. Rajah 0 menunjukkan lima pentagon dilukis pada grid segi empat sama. K P iagram 0 Rajah 0 Which of the pentagon,,, or is the image of pentagon K under a clockwise rotation of 90 at center P. Pentagon manakah,,, atau ialah imej bagi pentagon K di bawah putaran 90º ikut arah jam pada pusat P. 449/ 0 Hak ipta SP 0
11 In iagram, quadrilateral PQRS is the image of quadrilateral JKLM under an enlargement. alam Rajah, sisi empat PQRS ialah imej bagi sisi empat JKLM d bawah suatu pembesaran. x y J 4 M L Q R 4 6 S P 4 K y x iagram Rajah Find the scale factor of the enlargement. arikan faktor skala pembesaran tersebut. 449/ 0 Hak ipta SP
12 Which of the following graphs represents y cos x for 80 x 60? ntara yang berikut, yang manakah mewakili graf y cos x bagi 80 x 60? y x - y x - y x - y x - 449/ 0 Hak ipta SP
13 5 Given that sin x where 90 x 80, find the value of cos x. 5 iberi bahawa sinx dengan keadaan 90 x 80, cari nilai kos x iagram 4 shows a cuboid with horizontal base EFGH. Rajah 4 menunjukkan sebuah kuboid dengan tapak mengufuk EFGH. L K H G I J E F Name the angle between the line IG and the plane IJKL. Namakan sudut di antara garis IG dengan satah IJKL. IGK IKG IGJ GIK 449/ 0 Hak ipta SP
14 5 In iagram 5, PQ, RS and TU are three vertical poles on horizontal plane. Given PQ =TU and PR=RT. alam Rajah 5, PQ, RS dan TU ialah tiga batang tiang tegak pada satah mengufuk. iberi PQ=TU dan PR=RT. S Q U P R iagram 5 Rajah 5 T The angle of depression point of R from Q is x. Sudut tunduk R dari Q ialah x. Which of the following angles size is equal to x? ntara yang berikut, saiz sudut manakah sama dengan x? SQR SUR RQP URT 449/ 0 Hak ipta SP 4
15 6 In the iagram 6, J, K and L are three points on horizontal ground and MJ is a tower. alam Rajah 6, J, K dan L ialah tiga titik di atas tanah mengufuk dan MJ ialah sebuah menara. M 50 m J K L iagram 6 Rajah 6 The angle of depression of K and L from M are 5º and 5º respectively. alculate the distance of KL, in m. Sudut tunduk K dan L dari M ialah 5º dan 5º masing-masing. Hitungkan jarak KL dalam m (4g 5h) + g(g h) = 7g 4gh + 5h 7g 8gh + 5h 5g 8gh + 5h 5g + 48gh + 5h 449/ 0 Hak ipta SP 5
16 8 Express 4 p as a single fraction in its simplest form. q pq Ungkapkan 4 p q pq sebagai pecahan dalam bentuk teringkas. 4p 4 pq p 4 pq p 8 pq 5p 8 pq p 9 Given that q pq, express p in terms of q. iberi p q pq, ungkapkan p dalam sebutan q. q q q q q q 4q 449/ 0 Hak ipta SP 6
17 0 Given 5 (4w + 5) = 4 5w, find the value of w. iberi 5 (4w + 5) = 4 5w, cari nilai bagi w Simplify 8 4 Ringkaskan Simplify Ringkaskan ( m n ) mn ( m n ) mn 4 m n m n 7 6 m n m n 449/ 0 Hak ipta SP 7
18 List all the integers x that satisfying the inequalities 5x 4 70 x 0. Senaraikan semua integer x yang memenuhi ketaksamaan 5x 4 70 x 0. 7, 8, 9, 0,,,, 4 7, 8, 9, 0,,, 6,7, 8, 9, 0,,,, 4 6,7,8, 9, 0,,, 4 The solution for 9x 5 x is Penyelesaian bagi 9x 5 x ialah x 9 x 7 x 9 x 9 449/ 0 Hak ipta SP 8
19 5 iagram 5 is a line graph showing the number of book sold in a week. Rajah 5 ialah graf garis yang menunjukkan bilangan buku yang dijual dalam seminggu S M T W T F S iagram 5 Rajah 5 alculate the mean number of book sold per day. Hitung min jumlah buku yang dijual sehari Table 6 shows the score obtained by group of students in a quiz. Jadual 6 menunjukkan mata yang diperoleh sekumpulan pelajar dalam suatu kuiz. Score Skor Number of students ilangan pelajar Table 6 Jadual 6 The number of students who score less than the modal score is ilangan pelajar yang mendapat skor kurang daripada mata mod ialah / 0 Hak ipta SP 9
20 7 iagram 7 shows the graph of y x n 5, where n is an integer. Rajah 7 menunjukkan graf bagi y x n 5, di mana n ialah integer. y y x n 5 m x Find the value of n and m. ari nilai n dan m. n =, m = 5 n =, m = 5 n =, m = 5 n =, m = 5 iagram 7 Rajah 7 8 iagram 8 shows a Venn iagram with universal set ξ. Rajah 8 menunjukkan sebuah gambar rajah Venn dengan set semester ξ. ξ P Q 9 5 iagram 8 Rajah 8 The elements of set ( P Q) are Unsur-unsur bagi set ( P Q) adalah 4, 8, 4, 8,, 7 4, 5, 8, 9 449/ 0 Hak ipta SP 0
21 9 iagram 9 shows a Venn iagram with 6 as an element. Rajah 9 menunjukkan gambar rajah Venn dengan 6 sebagai satu unsur. P 6 R Q Which of the following is true? ntara berikut, yang manakah benar? 6 ( Q R) 6 R( P Q) 6 ( P R) Q 6 ( Q P) iagram 9 Rajah 9 0 In iagram 0, R, S and T are three sets. alam Rajah 0, R, S dan T adalah tiga set. Given that n(r) + n(s) = n(t), find the value of p iberi n(r) + n(s) = n(t), cari nilai p R 7 S T iagram 0 Rajah 0 p 6 449/ 0 Hak ipta SP
22 Given : Universal set { x : 4 x 4, x is an integer}. Set K { x : x is a factor of 4}. set L {x : is multiple of 6}. Find the n( K L). iberi: Set semester { x : 4 x 4, x adalah integer}. Set K { x : x adalah faktor bagi 4}. Set L {x : ialah gandaan bagi 6} ari n( K L) etermine the x-intercept of the straight line x y + 7 = 0 Tentukan pintasan x bagi garis lurus x y + 7 = / 0 Hak ipta SP
23 iagram shows a straight line TU on a artesian plane. Rajah menunjukkan garis lurus TU pada suatu satah artesan. y T (, 8) O iagram Rajah U x The distance of OU is 0 units. Find the gradient of TU. Jarak OU ialah 0 unit. ari kecerunan bagi TU iagram 4 shows labelled cards in a box. card is picked at random from the box. What is the probability that the letter not is chosen? alam Rajah 4 menunjukkan kad berlabel di dalam sebuah kotak. Sekeping kad dipilih secara rawak dari kotak itu. pakah kebarangkalian bukan huruf dipilih? L U L T I O N 9 5 iagram 4 Rajah 4 449/ 0 Hak ipta SP
24 5 box contains 56 balls written with odd and even numbers. If a ball is picked randomly from the box, the probability of picking a ball with even numbers is 7. Find the numbers of ball with odd numbers. Sebuah kotak terdapat 56 biji bola bernombor genap dan ganjil. Jika sebiji bola dipilih secara rawak dari kotak itu, kebarangkalian untuk memilih bola bernombor genap ialah 7. ari bilangan bola bernombor ganjil In a factory there are 60 female and male workers. worker is choose at random. Probability to choose a female worker is 9 5. nother 90 male worker join the company. If a worker is choose at random, what is the probability to choose a female worker. alam sebuah kilang terdapat 60 orang pekerja perempuan dan lelaki. Seorang pekerja dipilih secara rawak. Kebarangkalian pekerja perempuan dipilih ialah orang pekerja lelaki diambil sebagai pekerja baru. Jika seorang pekerja dipilih secara rawak, apakah kebarangkalian seorang pekerja perempuan dipilih / 0 Hak ipta SP 4
25 7 Given that P varies inversely as the cube root of R and P = when R = 6. Find the value of R when P = 4. iberi P berubah secara songsang dengan punca kuasa tiga R dan P = R = 6. ari nilai R apabila P = apabila 8 It is given that p varies directly to (s + ) and inversely as the square of k. Find the relation between p, s and k. iberi bahawa p berubah secara langsung dengan (s + ) dan secara songsang dengan kuasa dua k. ari hubungan di antara p, s dan k. p ( s ) k ( s ) p k p ( s ) k p ( s k ) 449/ 0 Hak ipta SP 5
26 9 5 = h, the value of h is h 4 49, nilai h ialah h 40 Given that 4 49 iberi h EN OF QUESTION PPER KERTS SOLN TMT 449/ 0 Hak ipta SP 6
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