SULIT 1449/1 JABATAN PELAJARAN NEGERI SABAH. 1 Hour 15 Minutes One hour and fifteen minutes JANGAN BUKA KERTAS SOALAN INI SEHINGGA DIBERITAHU
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1 JTN PELJRN NEGERI SH SIJIL PELJRN MLYSI EXEL MTHEMTIS Paper Hour 15 Minutes One hour and fifteen minutes JNGN UK KERTS SOLN INI SEHINGG IERITHU 1. This question paper consists of 40 questions.. nswer all questions.. nswer each question by blackening the correct space on the answer sheet. 4. lacken only one space for each question. 5. If you wish to change your answer, erase the blackened mark that you have done. Then blacken the space for the new answer. 6. The diagram in the questions provided are not drawn to scale unless stated. 7. list of formulae is provided on pages to booklet of four-figure mathematical tables is provided. 9. You may use a non-programmable scientific calculator. This paper consists of 19 printed pages
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 boloeh membantu anda menjawab soalan. Simbol-simbol yang diberi adalah yang biasa digunaan. m n mn 1 a a a m n mn a a a 10 Pythagoras Theorem / Teorem Pithagoras c a b ( m n mn a ) a d b 4 ad bc c a 5 istance/ jarak 1 P( ') 1 P( ) 1 m y x y1 x 1 = ( x y 1 x ) ( y1 ) 14 y int ercept m x int ercept 6 Midpoint/ Titik tengah x1 x y1 y ( x, y), 7 8 Mean = sum of data number of data 9 Mean = sum of ( class mark frequency) sum of frequencies
3 SHPES N SPE 1 1 rea of trapezium = sum of parallel sides height Luas trapezium = 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 = 4 r Luas permuaan sfera = 4j 6 Volume of right prism = cross sectional area length Isipadu prisma tegak = luas keratan rentas panjang 7 Volume of cylinder = r h Isipadu silinder = j t 1 8 Volume of cone = r h Isipadu kon = 9 Volume of sphere = Isipadu sfera = 4 r 4 r 10 Volume of right pyramid 1 = Isipadu piramid tegak = luas tapak tinggi 11 Sum of interior angles of a polygon Hasil tambah sudut pedalaman poligon = ( n ) 180
4 4 arc length angle subtended at centre 1 circumference of circle 60 area of sector angle subtended at centre 1 area of circle Scale factor, P' k P Faktor skala, k = 15 rea of image = k area of object Luas imej = k luas objek
5 5 nswer all question. 1 Round off 6789 correct to two significant figures. undarkan 6789 betul kepada dua angka bererti Express in standard form. Ungkapkan dalam bentuk pawai x x 10 = 1.8 x x x x 10 4 rectangular floor has a width of 6000 cm and a length of 8000 cm. alculate the number of tiles required to cover the whole floor if each tile is a square with sides of 40 cm. Lantai segiempat tepat mempunyai lebar 6000 cm dan panjang 8000 cm. Hitung bilangan jubin yang diperlukan untuk menutup seluruh lantai dengan jubin jika setiap jubin ialah segiempat sama dengan sisi 40 cm
6 6 6 Express 6(8 ) 5 as a number in base five. Ungkapakan. 6(8 ) 5 sebagai nombor dalam asas lima iagram 1 shows a quadrilateral PTUV and a parallelogram PQRS. QPT and SPV are straight lines. Rajah 1 menunjukkan sebuah segiempat PTUV dan sebuah segiempat selari PQRS. QPT dan SPV ialah garis lurus. T U V 0 m P S 10 0 Q R The value of m is Nilai m ialah iagram 1 Rajah In iagram, XYZ is a tangent to the circle UVY at Y. alam Rajah, XYZ ialah tangen kepada bulatan UVY di Y. U V 4º 40º Z x Y X iagram Rajah
7 7 UVZ is a straight line. Find the value of x. UVZ ialah garis lurus. arikan nilai x iagram shows five triangles H,,, and drawn on square grids. Rajah menunjukkan lima segitiga dilukis pada grid segiempat sama. 0. H iagram Rajah Which of the triangles,,, or is the image of triangle H under a clockwise rotation of 90 about the centre O. ntara segitiga,, dan, yang manakah merupakan imej bagi segitiga H di bawah putaran 90 ikut arah jam pada pusat O. 10 iagram 4 shows two triangles, and, drawn on square grids. Rajah 4 menunjukkan dua segitiga, dan, dillukis pada grid segiempat sama. ' ' iagram 4 Rajah 4
8 8 is the image of under an enlargement with centre. Find the scale factor of the enlargement. ialah imej bagi di bawah suatu pembesaran pada pusat. ari faktor skala pembesaran itu iagram 5 shows a right-angled triangle LMP. Rajah 5 menunjukkan sebuah segitiga bersudut tegak LMP. P 50 Given LPM 50, find the value of tan z. beri LPM 50, cari nilai tan z K L M N agram 5 Rajah Given that sin x = where 90 x 180, find the value of cos x. 1 z iberi sin x = 1 5 dengan keadaan 90 x 180, cari nilai kos x
9 9 1 iagram 6 shows a unit circle PQRST. O is the centre of the circle. Rajah 6 menunjukkan bulatan unit PQRST. O ialah pusat bulatan itu. T( 0.866, 0.5) y P(0, 1) S( 1, 0) O v 0 Q(1, 0) x Find the value of sin v. ari nilai sin v R(0, 1) iagram 6 Rajah 6 14 iagram 7 shows a cuboid with a rectangular base TUVW. Rajah 7 menunjukkan sebuah kuboid dengan tapak segiempat tepat TUVW. Q R P S U V T iagram 7 Rajah 7 W State the angle between the plane QRW and the plane QRVU. Nyatakan sudut di antara satah QRW dengan satah QRVU. RWV VRW UQW RQT
10 10 15 In diagram 8, and are two points on a horizontal plane. Point lie on the vertical pole, K. alam rajah 8, dan ialah dua titik pada satah mengufuk. Titik berada pada tiang tegak, K. K iagram 8 Rajah 8 Name the angle of elevation of point from point. Namakan sudut dongakan titik dari titik. K K 16 iagram 9 shows a tree and a vertical pole are on a horizontal plane. Rajah 9 menunjukkan suatu pokok dan sebuah menara berada pada satah mengufuk. m h m The angle of depression of the tree top from the peak of the pole is 4. Find the value of h. Sudut tunduk puncak pokok dari dasar menara ialah 4. ari nilai h m iagram 9 Rajah 9
11 11 17 iagram 10 shows three points Q, R and S lie on a horizontal plane. Rajah 10 menunjukkan tiga titik Q, R, dan S pada satah mengufuk. Q 40 S R iagram 10 Rajah 10 It is given that the bearing of S from Q is 050 o. Find the bearing of R from S. iberi bearing S dari Q ialah 050. ari bearing R dari S iagram 11 shows three points, P, Q and R on the surface of the earth. NRS is the Greenwich Meridian and O is the centre of the earth. Rajah 11 menunjukkan tiga titik, P, Q dan R pada permukaan bumi. NRS ialah Meridian Greenwich dan O ialah pusat bumi. N P 0 o O Q 60 o 45 o R The position of point P is Kedudukan titik P ialah (60 o N, 45 o E ) (60 o U, 45 o T ) (60 o N, 45 o W ) (60 o U, 45 o ) (45 o S, 60 o E ) (45 o S, 60 o T ) (45 o S, 60 o W ) (45 o S, 60 o ) S iagram 11 Rajah 11
12 1 19 (p q) (p + q) = p q p 4q p + q p + 4q 1 m 0 Express as a single fraction in its simplest form. m 8m 1 m Ungkapkan sebagai satu pecahan tunggal dalam bentuk terendah. m 8m 5m 8m m 8m m 8m 5m 8m 1 m n Given that, express n in term of m. m n iberi, ungkapkan n dalam sebutan m. 9 16m 9 16m 16m 9 16m 9 5t Solve the equation 9 t. 5t Selesaikan persamaan 9 t. t = 1 t = t = 5 t = 6
13 1 Given that 81 m 7, find the value of m. iberi 81 m 7, cari nilai bagi m Simplify: Ringkaskan: h k hk hk h 4 k hk 8 h 4 k 8 p 5 List all the integers p that satisfy both the inequalities 4p + 7 and >. Senaraikan semua integer p yang memuaskan kedua-dua ketaksamaan 4p + 7 dan p >. 4, 5 5, 6 4, 5, 6 5, 6, 7 6 Table 1 shows the cumulative frequency table. Jadual 1 menunjukkan jadual kekerapan longgokkan. Marks Markah Frequency Kekerapan q State the value of q. Nyatakan nilai bagi q. Table 1 Jadual 1 umulative frequency Kekerapan longgokkan
14 number of students iagram 1 is a bar chart which shows the number of boys and girls of SMK Sri Kota who sat for the SPM examination from 00 to 005. Rajah 1 ialah carta palang yang menunjukkan bilangan lelaki dan perempuan di SMK Sri Kota yang menduduki peperiksaan SPM dari 00 hingga year girls boys iagram 1 Rajah 1 alculate the difference between the total numbers of boys and girls over the three years. Hitungkan perbezaan antara jumlah bilangan lelaki dan perempuan dalam tiga tahun
15 15 8 Which of the following graphs represents y = x 8? Yang manakah mewakili graf bagi y = x 8? y 8 x y 8 x y 8 x y x 8 9 Given that { x : x 9, x is an integer } and M { x : x is a primenumber }. List all the elements of M. iberi bahawa { x : x 9, x ialah integer } dan M = {x: x ialah nombor perdana}. Senaraikan semua elemen bagi M. {,, 5 } {, 5, 7 } {,, 5, 7} {, 5, 7, 9 }
16 16 0 iagram 1 is a Venn iagram showing the universal set ξ, set P and set Q. Rajah 1 ialah gambar rajah Venn yang menunjukkan set semesta ξ, set P dan set Q. ξ P Q iagram 1 Rajah 1 Find n ( P Q)'. ari n ( P Q)' iagram 14 is a Venn diagram showing the set U, set V and set W. Given that U V W. Rajah 14 ialah Venn diagram menunnjukkan set U, set V and set W. iberi bahawa U V W. V U W 7 iagram 14 Rajah 14 List all the elements of the set UWV'. Senaraikan semua elemen bagi set UWV'. {, 4, 9 } {,, 4, 7 } { 1, 5, 6, 9 } { 1,,, 4, 5, 6, 7 }
17 17 iagram 15 shows a straight line UV in a artesian plane. Rajah 15 menunjukkan garis lurus UV pada suatu satah artesan. y V (, 10) O x Find the gradient of UV. ari kecerunan UV State the x-intercept of the straight line x + 5y = 10. Nyatakan pintasan-x bagi garis lurus x + 5y = basket contains 1 red apples and the rest is green apples. apple is chosen at 8 random from the basket. The probability of choosing a green apple is. 11 Find the number of green apples in the basket. Sebuah bakul mengandungi 1 biji epal merah dan yang baki ialah epal hijau. Sebiji epal dipilih secara rawak daripada bakul itu. Kebarangkalian bahawa sebiji epal 8 hijau dipilih ialah. 11 ari bilangan epal hijau dalam bakul itu U ( 1, ) iagram 15 Rajah 15
18 18 5 In a group of 40 students, there are 5 girls. nother 5 boys join the group. student is chosen at random from the group. Find the probability of choosing a boy. alam sekumpulan 40 orang pelajar, terdapat 5 orang perempuan. Kemudian 5 orang lelaki menyertai kumpulan itu. Seorang pelajar dipilih secara rawak dari kumpulan itu. arikan kebarangkalian lelaki dipilih Given that T varies directly as the square root of Q and T = 80 when Q = alculate the value of T when Q = 5. iberi bahawa T berubah langsung dengan punca kuasa dua Q dan T = 80 apabila Q = Hitung nilai T apabila Q = ky 7 Table shows two sets of values of x, y and z which satisfy an equation x. z ky Jadual menunjukkan dua set nilai x, y dan z yang memuaskan persamaan x. z x 4 8 y 6 z 4 p Find the value of k and p. ari nilai k dan p. k =, p = 144 k =, p = 1 k =, p = 144 k =, p = 1 Table Jadual
19 19 8 It is given that T varies directly as the square of p and inversely as the square root of g. This joint variation can be written as iberi bahawa T berubah secara langsung dengan kuasa dua p dan secara songsang dengan punca kuasa dua g. Ubahan tercantum ini dapat ditulis sebagai T pq p T g T p g p T g x, then p = x x 0, maka p = x 9 If 0 Jika Given that 4 N, find the matrix N. 6 5 iberi 4 N, cari matrik N EN OF QUESTION PPER SOLN TMT
20 0 Jawapan KERTS 1 Matematik EXEL SPM 010 [ Set 1]
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