SET 1. Answer any four questions from this section. Jawab mana-mana empat soalan daripada bahagian ini.
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1 SECTION B SET 1 Answer any four questions from this section. Jawab mana-mana empat soalan daripada bahagian ini. 7) Use graph paper to answer this question. Gunakan kertas graf untuk menjawab soalan ini. Table below shows values of two variables, and, obtained from an experiment. The variables and are related by the equation, where and are constants. Jadual di bawah menunjukkan nilai-nilai bagi dua pembolehubah, dan, yang diperoleh daripada suatu eksperimen. Pembolehubah dan dihubungkan dengan persamaan, dengan keadaan dan ialah pemalar Based on the table above, Berdasarkan jadual di atas, a) construct a table for values and. [2 marks] bina satu jadual bagi nilai-nilai dan. [2 markah] b) plot against, using a scale of 2 cm to 0.1 units on -axis and 2 cm to 0.2 units on -axis. Hence, draw the line of best fit. [3 marks] plot melawan, menggunakan skala 2 cm kepada 0.1 unit pada paksidan 2 cm kepada 0.2 unit pada paksi-. Seterusnya, lukis garis lurus penyuaian terbaik. c) Using the graph in 7(b), find the value of Menggunakan graf di 7(b), cari nilai bagi a). b). c), when., apabila. [5 marks] [5 markah] 1
2 8) Solutions by scale drawing are not accepted. Penyelesaian secara lukisan berskala tidak diterima. Figure below shows a rectangle. The equation of straight line is. Points and are plotted on same -coordinate. Rajah di bawah menunjukkan sebuah segi empat tepat. Persamaan garis lurus ialah.titik-titik dan diplot pada koordinat- yang sama. Find Cari a) the coordinate of. [1 mark] [1 markah] b) the coordinate of. [3 marks] c) the coordinate of. [3 marks] d) the area, in, of rectangle. [3 marks] luas, dalam, bagi segi empat tepat. 2
3 9) a) Solve the equation. [3 marks] Selesaikan persamaan. b) Given that, express in terms of Diberi bahawa, ungkapkan dalam sebutan a) b) [3 marks] c) Solve the simultaneous equations and. [4 marks] Selesaikan persamaan serentak dan. [4 markah] 10) Figure below shows a curve and straight line tangent to the curve at point. Rajah di bawah menunjukkan dan garis lurus tangen kepada lengkung pada titik. a) Calculate the area of shaded region. [5 marks] Hitungkan luas rantau berlorek. [5 markah] b) Find the equation of straight line. [3 marks] Cari persamaan garis lurus. c) Find the volune generated, in terms of, when region bounded by straight line, -axis and -axis is revolved through on -axis. [2 marks] Cari isi padu yang dijanakan, dalam sebutan, apabila rantau yang dibatasi garis lurus, paksi- dan paksi- dikisarkan melalui pada paksi-. [2 markah] 3
4 11) a) A test consists of 60 objective questions. Each question consists of options A, B, C and D. Students can only choose one option for each question. Suatu ujian mempunyai 60 soalan objektif. Setiap soalan mempunyai pilihan A, B, C dan D. Murid-murid hanya boleh memilih satu pilihan bagi setiap soalan. i) Jason answers all the questions but not sure if the answers are correct. Estimate the number of questions which he answered it correctly. Jason menjawab semua soalan tetapi tidak pasti sama ada jawapan tersebut adalah betul. Anggarkan bilangan soalan yang dapat dijawab dengan betul. Faridah answers all the questions. She is absolutely confident that she answered 45 questions correctly. Find the probability that she answered at least 47 questions correctly. Faridah menjawab semus soalan. Dia benar-benar yakin bahawa dia dapat menjawab 45 soalan dengan betul. Cari kebarangkalian bahawa dia menjawab sekurang-kurangnya 47 soalan adalah betul. [4 marks] [4 markah] b) The blood pressure of 1500 students in a school is surveyed. It is found out that their blood pressure follows normal distribution with mean of 110 mm Hg and standard deviation of 10 mm Hg Tekanan darah 1500 orang pelajar di sekolah telah dikaji. Didapati bahawa tekanan darah mereka mengikut taburan normal dengan min 110 mm Hg dan sisihan piawai 10 mm Hg. a) The normal blood pressure for a student is between 90 mm Hg and 130 mm Hg. Find a probability of choosing a student with normal blood pressure. Tekanan darah normal bagi seorang pelajar adalah di antara 90 mm Hg dan 130 mm Hg. Cari kebarangkalian memilih seorang pelajar yang mempunyai tekanan darah normal. b) A student with more than mm Hg is said to have high blood pressure. If two students have high blood pressure, find the value of. Pelajar yang mempunyai tekanan darh lebih daripada mm Hg dikatakan mempunyai tekanan darah tinggi. Jika dua pelajar mempunyai tekanan darah tinggi, cari nilai. [6 marks] [6 markah] 4
5 ANSWERS 7) a) i) b) The answer is too subjective. Therefore, I would not give the answer. You only know your graph is correct by looking at next answers. c) i) i 8) a) (0, 6) b) (6, 6) c) (4, 2) d) 24 9) a) 4 b) i) c) 10) a) b) c) 11) a) i) b) i)
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