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PENILAIAN MENENGAH RENDAH 2OI2 S0/1 MATIMMATICS Kertas 1 Oktober Rliam Satu Jam Lima Belas Minit

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PENILAIAN MENENGAH RENDAH 2OI2 S0/1 MATIMMATICS Kertas 1 Oktober Rliam Satu Jam Lima Belas Minit SULIT LEMBAGA PEPERIKSAAN KEMENTERIAN PELAJARAN MALAYSIA *Iafaysa PENILAIAN MENENGAH RENDAH 2OI2 s0/1 MATIMMATICS Kertas 1 Oktober rliam Satu jam lima belas minit JANGAN BUKA KERTAS SOALAN INI SEHINGGA DIBERITAHU 1. Kertas soalan ini adalah dalam dwibahasa. 2. Soalan dalam bahasa Inggeris mendahului soalan yang sepadan dalam bahasa Melayu. 3. Calon dikehendaki membaca maklumat di halaman belakang kertas soalan ini. Kertas soalan ini mengandungi 36 halaman bercetak. ll-,ihat halaman sebelah 50/1 o 2012 Hak cipta Kerajaan Malaysia SULIT Kertas soalan mp lain terdapat di : www.myschoolchildren.com SULIT ) 50/1 MATHEMATICAL FORMULAE RUMUS MATEMATIK The following formulae may be helpful in answering the questions. The symbols given are corunonly used. Rumus-rumus berikut boleh membantu anda menjawab soalan. Simbol-simbol yang diberi adalah yang biasa digunakan. RELATIONS PERKAITAIV r lll n m+n I A XA - A .t nl n m-n z a +a - a 3 (a*)n = affin 4 Distance l Jarak = 5 Midpoint I Titik tengah (x'+x'. Y' */') (x,.v) = t r' 2) 6 Averase soeed = distance travelled ^ time taken dilalui Purata laitt = iarak Yang masa yang diambil sum of dgt-a j Mean = number of- data hasil tambah nilai data Min _ bilangan data 8 Pythagoras Theorem I Teorem Pithagoras c2=a2+b2 50ll @ 2ol2 Hak cipta Kerajaan Malaysia SULIT Kertas soalan mp lain terdapat di : www.myschoolchildren.com SULIT 3 50t1 SHAPES AND SPACE BENTUK DAN RUANG I Area of rectangle = length x width Luas segi empat tepat - panjang x lebar 2 Area of triangl" = 1 x base x height L Luassegitiga-: x tupakx tinggi 3 Area of parallelogram = base x height Luas segi empat selari = tapak x tinggi I 4 Area of apezium x sum of parallel tr = , sides x height Luas trapezium = + x hasil tambah dua sisi selari x tinggi 5 Circumference of circle = fi d = 2n r Lilitan bulatan - nd = 2xj r 6 Area of circle = TE 12 I Luas bulatan - n.j' 7 Curved surface area of cylinder = 2nrh Luas permukaan melengkung silinder - Znjt 8 Surface area of sphere = 1n 12 Luas permukaan sfera - 4 n.j' 9 Volume of right prism = croSS sectional area x length Isi padu prisma tegak = luas keratan rentas x panjang 10 Volume of cuboid - length x width x height Isi padu lutboid - panjang x lehar x tinggi 11 Volume of cylinder = n fh Isi padu silinder - fij't 12 Volume of cone nf h = 1J I Isi padu kon = 1 ni't [Lihat halaman sebelah 5An @ 2otz Hak cipta Kerajaan Malaysia SULIT Kertas soalan mp lain terdapat di : www.myschoolchildren.com SULIT 4 s,n 13 Volume of sphere = 1 nf 5 Isi padu ,frro = ! "f 14 volume of right pyramid x base area x height = +5 Isi padu piramid tegak x has tapak x tinggi = +J 15 Sum of interior angles of a polygon = ("-Z) x lg0o Hasil tambah sudut pedalaman poligon = ("-z) x 1g0o Arc a , length Angle subtended at centre Circumference 360" Panjang lengkok _ Sudut pusat Lilitan bulatan 360o Area of sector Angle subtended at centre t7 = Area of circle 3600 Luas sektor Sudut pusat Luas bulatan 360o 18 Scale factor / Faktor skala, k = PA' PA 19 Area of imag e - ld x area of object Luas imej = k2 x luas objek 50/1 @ z0rz Hak Cipta Kerajaan Malaysia SULIT Kertas soalan mp lain terdapat di : www.myschoolchildren.com ST]LIT 50/1 I Diagram 1 shows a rounding off of a number. Rajah r menunjukkan pembundaran bagi suatu nombor. 673 541 __-+ 670 000 Diagram I Rajah 1 State the place value it has been rounded off. N),atakan nilai tempat nombor itu dibundarkan. A Hundred Ratus B Thousand Ribu C Ten thousand Puluh ribu D Hundred thousand Ratus ribu 2 Pak Lukm3l has 240 kg of fish crackers. He sells 96kg of the crackers. He buys another 156kg of the crackers. He packs all the crackers into 250 packets'of equal mass. calculate the mass of each packet of the fish crackers. Pak Lukman mempunyai 240kg keropok ikan. Dia menjual g6kg daripada keropok itu. Dia membeli l56kg keropok itu tagi. Dia membungkis kesbmua keropok itu kepada 250 bungkus dengan jisim yang sama. Hitung jisim setiap bungkus keropok ikan itu. A lkg 20g B 1kg 50g C lkg 2009 D 1kg 5009 50lt @ zotz Hak Cipta Kerajaan Mataysia SULIT Kertas soalan mp lain terdapat di : www.myschoolchildren.com SULIT 50/1 735 x 3 + + =1.068 t0 100 1000 f"incl the value of x. Ouri nilai x. A8 B 18 C 295 D 333 4 Diagram 2 shows a sequence of numbers. Rajah 2 menunjukkan suatu urutcut nombor. -13, J, .-5, K. 3,, '.l Diagram 2 Rajah 2 Find the value of J and of K. Cari nilai J dan nilai K. J K A -9 -l B -9 4 C -8 1 a D -8 -J 5 A roll of string is cut into32 equal parts. The length of each part is 102cm. Calculate the total length, in m, of the roll of string. Segulung tali dipotong kepada 32 bahagian yang sama panjang. Panjang setiap bahagian tali ialah l02cm. Hitung jumlah panjang, dalam m, bagi segelung tali itu. A 1.340 B 3.264 c t3.40 D 32.64 ll-,ihat halaman sebelah 50ll @ 20t2 Hak cipta Kerajaan Malaysia SULIT Kertas soalan mp lain terdapat di : www.myschoolchildren.com SULIT 8 5O/1 6 Table 1 shows the price and the discount for the same brand of shoes sold at four shops R, ,S, T and U. Jadual I menunjukkan harga dan diskaun bagi kasut yong berjenama sama yang dijual di empat buah kedai R, ,S, T dan U. Shop.R Shop S Shop I Shop U Kedai R Kedai S Kedai T Kedai U Price per pair Price perpair Price for two palrs Offerprice per pair RMlOO RMl lO RM160 RM9O Harga sepasang Harga sepasuttg Harga untuk dua Harga tawarart RMlOO RMlIO pasang RM 160 sepasong RM90 Discount25oA Discount 30% No discount No discount Diskaun 25% Diskaun 30% Tiada diskaurr Tiada diskaun Table 1 Jadual I Which shop offers the cheapest price? Kedai manakah yang menaworkan harga paling murah? ,t l? B,' CT DU The pair of numbers which has 2, 3 and 5 as prime factors is Pasangan nombor yang mempultvui 2, 3 dan 5 sebagoi faktor perdana ialah A 20 and 30 2O dan 30 B 30 and 50 30 dan 50 (l 30 and 60 30 dan 60 D 50 and 60 50 dan 6O 5011 a 2ot2 Hak cipta Kerajaan Malaysia SULIT Kertas soalan mp lain terdapat di : www.myschoolchildren.com SULIT 9 s0/1 8 An express bus trip from Butterworth to Kuala Lumpur takes 4 + hours. An 4 express bus departs from Butterworth at 7 .35 a.m. but breaks down during the J_ou{ney. After being repaired, it continues its journey and reaches Kuala Lumpur at 2.40 p.m. on the same day. How long did the bus break down? 1 Perjalanan sebuah bas ekspress dari Butterworth ke Kuala Lumpur ialah O jo*. a Sebuah bas ekspress bertolak dari Butterworth pada jam 7.35 a.m. tetapi rosak dalam perialanan. Selepas dibaiki, bas tersebut meneruskan perjalanan dan tiba di Kuala Lumpur pada jam 2.4A p.m. hari yang sama. Berapa lamakah bas itu mengalami kerosakan? A 2 hours 35 minutes 2 jam 35 minit B 2 hours 50 minutes 2 jam 50 minit C 3 hours 05 minutes 3 jam 05 minit D 4 hours 55 minutes 4 jam 55 minit Diagram 3 shows a regular pentagon. Rajah 3 menunjukkan sebuah pentagon sekata. Diagram 3 Rajah 3 Find the value of x. Curi nilai x. A36 845 c60 D72 [Lihat halaman sebelah 50/1 @ 2ol2 Hak Cipta Kerajaan Malaysia SULIT Kertas soalan mp lain terdapat di : www.myschoolchildren.com SULIT t 0 s,/l p, 10 Diagram 4 shows six points, e, R, K, R' and e' on a cartesian plane. Rajah 4 menunjukkan enam titik, p, e, .R, K, .R' clan pada suatu satqh Cartesan. e, v O r a R K 5 4 o x R' -z- -o Q: Diagram 4 Rajah 4 Q' and R' are the images of Q and, R respectively under an enlargement with centre K. Find the coordinates of the image of P under the same enlargement. Q'dan R'ialah imej bagi Q dan R masing-rnasing di bawah suatu pembesaran berpusat K. Cari koordinat bagi imej P di bawah pembesaran .vang sema. A (0, -3) B (-3, 0) c (-1, -1) D (1, 0) 50/1 @ 2012 Hak Cipta Kerajaan Malaysia SULIT Kertas soalan mp lain terdapat di : www.myschoolchildren.com SULIT tt 50n 11 In Diagram 5, PQRST is a pentagon and PTU is a straight line. Dalam Rajah 5, PQRST ialah sebuah pentagon dan PTU ialah garis lurus. Diagram 5 Rajah 5 Find the value of x. Cari nilai x. A 108 B 138 c t68 D tg8 I : I t2 Diagrarn 6 shows a triangle PQS.PS SR and SRQ is a straight line. t Rajah 6 r,ii ''ittnjukkan segi tiga PQ.I. P.S : SR dan SRQ ialah garis lurus. Diagram 6 Rajah 6 Find the value of x. Cari nilai x. A30 rI 35 c40 D45 [Lihat halaman sebelah 50/1 @ 2ol2 Hak Cipta Kerajaan Malaysia SULIT Kertas soalan mp lain terdapat di : www.myschoolchildren.com SULIT t2 50/1 13 Diagram 7 shows a rectan gle PQRT. Rajah 7 menunjukkan segi empat tepat P)RT. 8cm R O 1 8cm I3 cm 12cm I ^S P U Diagram 7 Rajah 7 Calculate the area, in cm2, of the shaded region.
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