0857-9195-7522 0857-9195-7592 [email protected] www.olimpiadekita.com Gedung Inovasi Lantai 2 - Pusat Inkubasi Bisnis - PPNS - Sukolilo - Kota Surabaya E. The world busiest corridor 20. “ even though he has seen a doctor , I can see that his condition is not improving “ “ .... a specialist then !” A. Does he have B. Isn’t he seen C. Have him see D. He too has seen E. He had been see 21. “ What it are the workmen doing in your garden ?” “ Oh , I .... “ A. am having a gazebo built B. am building a gazebo C. have built a gazebo D. have to build a gazebo E. Had been build gazebo 22. “ Has mother finally decided what to buy for herself?” “ I don’t know ; let’s ask her what .... “ A. does she want to buy B. she wants to buy C. to buy D. is buying E. had been buying 23. “ You seem to be waiting for something these days.” “ That’s true, I’m waiting .... for an interview .” A. called B. to call C. be called D. calling E. call 24. W : I need to go across town , but the traffic is so heavy this time of day. M : When You take the subway You don't have to deal with traffic.I never drive any more. What does the man imply ? A. The woman doesn’t drive often. B. Traffic is better than it used to be. C. Taking public transportation saves time. D. The subway is crowded. E. The man do drive often. 25. ERROR RECOGNITION
0857-9195-7522 0857-9195-7592 [email protected] www.olimpiadekita.com Gedung Inovasi Lantai 2 - Pusat Inkubasi Bisnis - PPNS - Sukolilo - Kota Surabaya Choose the one word or phrase which would not be appropriate in standart written English! Stars emit (A) radio waves, which they (B) may be deteced and (C) studied using (D) radio. 26. ERROR RECOGNITION Choose the one word or phrase which would not be appropriate in standart written English! A glider is a type of (A) aircraft resembling (B) an airplane but (C) often having not (D) means of propulsion at all. 27. ERROR RECOGNITION Choose the one word or phrase which would not be appropriate in standart written English! A marilineal extended (A) family consist of core (C) group of males, their wives, (C) and (D) their unmarried daughters. 28. ERROR RECOGNITION Choose the one word or phrase which would not be appropriate in standart written English! Herons inhabit marshy areas (A) or the shores along fresh (B) or saltwater, which (C) they find fishes, frogs, crustaceans, and other (D) aquatic animals to get. 29. ERROR RECOGNITION Choose the one word or phrase which would not be appropriate in standart written English! A (A) computer program that communicates with the user (B) solely by choices providing (C) from interlined menus is said (D) to be menu-driven. 30. ERROR RECOGNITION Choose the one word or phrase which would not be appropriate in standart written English! In the 1930’s few (A) major orchestras in the United States hired woman (B), so many chose to perform (C) in amateur musical groups as an alternative. (D) 31. ERROR RECOGNITION Choose the one word or phrase which would not be appropriate in standart written English!
0857-9195-7522 0857-9195-7592 [email protected] www.olimpiadekita.com Gedung Inovasi Lantai 2 - Pusat Inkubasi Bisnis - PPNS - Sukolilo - Kota Surabaya Complex spacecraft arecharacterized by a various (A) of supporting (B) systems, including communications, guidance (C) and navigation, altitude conrol, and in some cases, (D) life suppor tsystem. 32. ERROR RECOGNITION Choose the one word or phrase which would not be appropriate in standart written English! When a piano keyboard is subtituted (A) for buttons on right (B) side of an accordion, the instrument (C) is known (D) as a piano accordion. 33. The space race is not simply the objective search knowledge .it is often made out to be . It is just extension of the race for power on earth . Only the wealthiest nations can compete ,and they do so in the name of scientific research . But in reality , all the are interested in is power and prestige. They want to impress us, their spectators, with a magnificent show of strength. Man has played the power game ever since he appeared on earth. Now they are playing it as it has never been played before. The space race is just another aspect of the age-old argument that "might is right". We are often told that technological know-how, acquired in trying to get us into the orbit, will be utilized to make life better on earth. But what has the space race done to relieve the suffering of the earth's starving millions? In what way has it raised the standard of living of any one of us? As far as the layman is concerned, the practical results of all the expenditure of money and effort are negligible. Thanks to space research, we can now see television pictures transmitted live half-way across the globe, and the housewife can use nonstick frying-pans in the kitchen. The whole thing becomes utterly absurd when you think that no matter what problems man overcomes, it is unlikely that he will ever be able to travel to even the nearest star. Poverty, hunger, disease, and war are man's greatest enemies, and the world would be an infinitely better place if the powerful nations dedicated half as much money and effort to these problems as they do the space race. For the first time in this history, man has the overwhelming technological resources to combat human suffering. yet he wasted them on meaningless pursuits. According to the writer , the object of space race should be ... A. the research for scientific knowledge B. the competition for power C. the search for objects in space D. the extension of a powerful race E. the race for technological knowhow 34. The space race is not simply the objective search knowledge .it is often made out to be . It is just extension of the race for power on earth . Only the wealthiest nations can compete ,and they do so in the name of scientific research . But in
0857-9195-7522 0857-9195-7592 [email protected] www.olimpiadekita.com Gedung Inovasi Lantai 2 - Pusat Inkubasi Bisnis - PPNS - Sukolilo - Kota Surabaya reality , all the are interested in is power and prestige. They want to impress us, their spectators, with a magnificent show of strength. Man has played the power game ever since he appeared on earth. Now they are playing it as it has never been played before. The space race is just another aspect of the age-old argument that "might is right". We are often told that technological know-how, acquired in trying to get us into the orbit, will be utilized to make life better on earth. But what has the space race done to relieve the suffering of the earth's starving millions? In what way has it raised the standard of living of any one of us? As far as the layman is concerned, the practical results of all the expenditure of money and effort are negligible. Thanks to space research, we can now see television pictures transmitted live half-way across the globe, and the housewife can use nonstick frying-pans in the kitchen. The whole thing becomes utterly absurd when you think that no matter what problems man overcomes, it is unlikely that he will ever be able to travel to even the nearest star. Poverty, hunger, disease, and war are man's greatest enemies, and the world would be an infinitely better place if the powerful nations dedicated half as much money and effort to these problems as they do the space race. For the first time in this history, man has the overwhelming technological resources to combat human suffering. yet he wasted them on meaningless pursuits. The passage says that the wealthiest nations join the space race in order to ... A. impress us with their knowledge B. make the world a better place C. express their interest in scientific research D. compete in the power game E. make the better life of the nations 35. The space race is not simply the objective search knowledge .it is often made out to be . It is just extension of the race for power on earth . Only the wealthiest nations can compete ,and they do so in the name of scientific research . But in reality , all the are interested in is power and prestige. They want to impress us, their spectators, with a magnificent show of strength. Man has played the power game ever since he appeared on earth. Now they are playing it as it has never been played before. The space race is just another aspect of the age-old argument that "might is right". We are often told that technological know-how, acquired in trying to get us into the orbit, will be utilized to make life better on earth. But what has the space race done to relieve the suffering of the earth's starving millions? In what way has it raised the standard of living of any one of us? As far as the layman is concerned, the practical results of all the expenditure of money and effort are negligible. Thanks to space research, we can now see television pictures transmitted live half-way across the globe, and the housewife can use nonstick frying-pans in the kitchen. The whole thing
0857-9195-7522 0857-9195-7592 [email protected] www.olimpiadekita.com Gedung Inovasi Lantai 2 - Pusat Inkubasi Bisnis - PPNS - Sukolilo - Kota Surabaya becomes utterly absurd when you think that no matter what problems man overcomes, it is unlikely that he will ever be able to travel to even the nearest star. Poverty, hunger, disease, and war are man's greatest enemies, and the world would be an infinitely better place if the powerful nations dedicated half as much money and effort to these problems as they do the space race. For the first time in this history, man has the overwhelming technological resources to combat human suffering. yet he wasted them on meaningless pursuits. We may conclude that other countries do not participate in the space race because... A. They are afraid to lose the power game B. They lack the necessary resources and manpower C. They are not interested in power and prestige D. They do not receive any benefit from the space race E. They are focusing on poverty alleviation 36. The space race is not simply the objective search knowledge .it is often made out to be . It is just extension of the race for power on earth . Only the wealthiest nations can compete ,and they do so in the name of scientific research . But in reality , all the are interested in is power and prestige. They want to impress us, their spectators, with a magnificent show of strength. Man has played the power game ever since he appeared on earth. Now they are playing it as it has never been played before. The space race is just another aspect of the age-old argument that "might is right". We are often told that technological know-how, acquired in trying to get us into the orbit, will be utilized to make life better on earth. But what has the space race done to relieve the suffering of the earth's starving millions? In what way has it raised the standard of living of any one of us? As far as the layman is concerned, the practical results of all the expenditure of money and effort are negligible. Thanks to space research, we can now see television pictures transmitted live half-way across the globe, and the housewife can use nonstick frying-pans in the kitchen. The whole thing becomes utterly absurd when you think that no matter what problems man overcomes, it is unlikely that he will ever be able to travel to even the nearest star. Poverty, hunger, disease, and war are man's greatest enemies, and the world would be an infinitely better place if the powerful nations dedicated half as much money and effort to these problems as they do the space race. For the first time in this history, man has the overwhelming technological resources to combat human suffering. yet he wasted them on meaningless pursuits. The words “ meaningless pursuits “ refer to .... A. Powerful nations B. Technological resource
0857-9195-7522 0857-9195-7592 [email protected] www.olimpiadekita.com Gedung Inovasi Lantai 2 - Pusat Inkubasi Bisnis - PPNS - Sukolilo - Kota Surabaya C. Man’s greatest enemies D. Impossible race E. Space research 37. The space race is not simply the objective search knowledge .it is often made out to be . It is just extension of the race for power on earth . Only the wealthiest nations can compete ,and they do so in the name of scientific research . But in reality , all the are interested in is power and prestige. They want to impress us, their spectators, with a magnificent show of strength. Man has played the power game ever since he appeared on earth. Now they are playing it as it has never been played before. The space race is just another aspect of the age-old argument that "might is right". We are often told that technological know-how, acquired in trying to get us into the orbit, will be utilized to make life better on earth. But what has the space race done to relieve the suffering of the earth's starving millions? In what way has it raised the standard of living of any one of us? As far as the layman is concerned, the practical results of all the expenditure of money and effort are negligible. Thanks to space research, we can now see television pictures transmitted live half-way across the globe, and the housewife can use nonstick frying-pans in the kitchen. The whole thing becomes utterly absurd when you think that no matter what problems man overcomes, it is unlikely that he will ever be able to travel to even the nearest star. Poverty, hunger, disease, and war are man's greatest enemies, and the world would be an infinitely better place if the powerful nations dedicated half as much money and effort to these problems as they do the space race. For the first time in this history, man has the overwhelming technological resources to combat human suffering. yet he wasted them on meaningless pursuits. The main idea of the third paragraph is .... A. the space race is a waste of time and money B. poverty, hunger, disease and war are our greatest enemies C. great nations should help to relieve human suffering D. powerful nations should devote half their money to the space race E. the technological resources are important in space race 38. Taufiq Ahmad Jl. Merapi no 212 Magelang 0812345678910 [email protected] November 8th, 2019 Mr. Rahmad Ansori Personnel Manager PT Green Jl. Merbabu no 45 Yogyakarta Dear Mr. Rahmad Ansori:
0857-9195-7522 0857-9195-7592 [email protected] www.olimpiadekita.com Gedung Inovasi Lantai 2 - Pusat Inkubasi Bisnis - PPNS - Sukolilo - Kota Surabaya I am writing to apply for the position of accountant, as advertised on your company website on October 20, 2019. As you can see from my enclosed resume, my experience and qualifications are suitable for this position. I graduated with a major in accounting. Having three years work experience in diverse financial position with national companies, I have gained an extensive insight with this field. My current position at PT Smart Light is Financial Analyst. I am able to carry out a wide range of commercial processes. I have gained an understanding of financial instruments and accounting software. I have the ability to work under pressure and as a team member. You will find me to be positive, motivated and hard-working, keen to learn and contributable. I believe that with my positive attitude and strong work ethic, I would be very suitable for the advertised position. I am available for interview any time and can be reached on my mobile phone or e-mail, as reflected above. I look forward to the opportunity of an interview. Thank you for your consideration Yours sincerely, Taufiq Ahmad Why did the applicant write the letter? A. To apply for a job B. To inform of a job interview C. To explain about his-self identity D. To give information about a job vacancy E. To ask for information about job vacancy 39. Taufiq Ahmad Jl. Merapi no 212 Magelang 0812345678910 [email protected] November 8th, 2019 Mr. Rahmad Ansori Personnel Manager PT Green Jl. Merbabu no 45 Yogyakarta Dear Mr. Rahmad Ansori: I am writing to apply for the position of accountant, as advertised on your company website on October 20, 2019. As you can see from my enclosed resume, my experience and qualifications are suitable for this position. I graduated with a major in accounting. Having three years work experience in diverse financial position with national companies, I have gained an extensive insight with this field. My current position at PT Smart Light is Financial Analyst. I
0857-9195-7522 0857-9195-7592 [email protected] www.olimpiadekita.com Gedung Inovasi Lantai 2 - Pusat Inkubasi Bisnis - PPNS - Sukolilo - Kota Surabaya am able to carry out a wide range of commercial processes. I have gained an understanding of financial instruments and accounting software. I have the ability to work under pressure and as a team member. You will find me to be positive, motivated and hard-working, keen to learn and contributable. I believe that with my positive attitude and strong work ethic, I would be very suitable for the advertised position. I am available for interview any time and can be reached on my mobile phone or e-mail, as reflected above. I look forward to the opportunity of an interview. Thank you for your consideration Yours sincerely, Taufiq Ahmad To whom was the application letter addressed? A. Taufiq Ahmad B. Mr. Rahmad Ansori C. PT Green D. PT Smart Light E. Accountant 40. Taufiq Ahmad Jl. Merapi no 212 Magelang 0812345678910 [email protected] November 8th, 2019 Mr. Rahmad Ansori Personnel Manager PT Green Jl. Merbabu no 45 Yogyakarta Dear Mr. Rahmad Ansori: I am writing to apply for the position of accountant, as advertised on your company website on October 20, 2019. As you can see from my enclosed resume, my experience and qualifications are suitable for this position. I graduated with a major in accounting. Having three years work experience in diverse financial position with national companies, I have gained an extensive insight with this field. My current position at PT Smart Light is Financial Analyst. I am able to carry out a wide range of commercial processes. I have gained an understanding of financial instruments and accounting software. I have the ability to work under pressure and as a team member. You will find me to be positive, motivated and hard-working, keen to learn and contributable. I believe that with my positive attitude and strong work ethic, I would be very suitable for the advertised position.
0857-9195-7522 0857-9195-7592 [email protected] www.olimpiadekita.com Gedung Inovasi Lantai 2 - Pusat Inkubasi Bisnis - PPNS - Sukolilo - Kota Surabaya I am available for interview any time and can be reached on my mobile phone or e-mail, as reflected above. I look forward to the opportunity of an interview. Thank you for your consideration Yours sincerely, Taufiq Ahmad What position did an applicant apply for? A. Personnel manager B. Financial analyst C. Accountant D. Accounting software E. Security
0857-9195-7522 0857-9195-7592 [email protected] www.olimpiadekita.com Gedung Inovasi Lantai 2 - Pusat Inkubasi Bisnis - PPNS - Sukolilo - Kota Surabaya
0857-9195-7522 0857-9195-7592 [email protected] www.olimpiadekita.com Gedung Inovasi Lantai 2 - Pusat Inkubasi Bisnis - PPNS - Sukolilo - Kota Surabaya [ MATEMATIKA – SMP ] NO. SOAL 1. Hasil dari 43/2 adalah .... A. 1/3 B. 1/2 C. 2 D. 8 2. Hasil dari √20 : √28 adalah .... A. √7 B. √5 C. 1/5 √35 D. 1/7 √35 3. Bentuk dirasionalkan penyebutnya adalah .... A. √6 B. 1 6 √12 C. 1 3 √6 D. 2√6 4. Suku ke-5 dan suku ke-8 barisan aritmetika berturut-turut 14 dan 23. Suku ke-30 barisan tersebut adalah .... A. 89 B. 87 C. 85 D. 80 5. Diketahui suatu barisan aritmetika dengan U5 = 7 dan U8 = 13. Suku ke-20 adalah .... A. 39 B. 37 C. -37 D. -39 6. Pak Abdul mempunyai persediaan bahan makanan untuk 60 ekor ayamnya selama 24 hari. Jika ia menjual ayamnya 15 ekor, bahan makanan tersebut akan habis dalam waktu .... A. 18 hari B. 28 hari C. 32 hari D. 42 hari
0857-9195-7522 0857-9195-7592 [email protected] www.olimpiadekita.com Gedung Inovasi Lantai 2 - Pusat Inkubasi Bisnis - PPNS - Sukolilo - Kota Surabaya 7. Seorang pegawai kecil menerima gaji tahun pertama sebesar Rp3.000.000,00. Setiap tahun gaji tersebut naik Rp500.000,00. Jumlah uang yang diterima pegawai tersebut selama sepuluh tahun adalah .... A. Rp7.500.000,00,- B. Rp8.000.000,00,- C. Rp52.500.000,00,- D. Rp55.000.000,00,- 8. Jika 2y - 3 = 12 - y maka nilai y - 2 adalah .... A. 5 B. 3 C. 2 D. 1 9. Sebuah persegi panjang dengan panjang (5x + 9) cm dan lebar (2x + 5) cm. Bila keliling persegi panjang tersebut 70 cm maka panjang dan lebarnya berturutturut adalah .... A. 19 cm dan 16 cm B. 20 cm dan 15 cm C. 22 cm dan 13 cm D. 24 cm dan 11 cm 10. Diketahui A = {5, 7, 11, 13, 17, 19}. Banyaknya himpunan bagian dari A adalah .... A. 6 B. 12 C. 36 D. 64 11. Suatu fungsi f didefinisikan dengan f(x) = 3x + 5. Jika f(a) = -7 maka nilai a adalah .... A. -3 B. -4 C. 3 D. 4 12. Aldi menabung di bank sebesar Rp800.000,00 dengan bunga 15% per tahun. Saat diambil besar tabungan Aldi menjadi Rp900.000,00. Lama Aldi menabung adalah …. A. 8 bulan B. 10 bulan C. 12 bulan D. 15 bulan 13. Sebuah prisma belah ketupat panjang diagonalnya 10 cm dan 24 cm. Jika tinggi prisma 8 cm, luas permukaan prisma adalah …. A. 536 cm2
0857-9195-7522 0857-9195-7592 [email protected] www.olimpiadekita.com Gedung Inovasi Lantai 2 - Pusat Inkubasi Bisnis - PPNS - Sukolilo - Kota Surabaya B. 596 cm2 C. 616 cm2 D. 656 cm2 14. Diketahui A = {a, b, c} dan B = {1, 2, 3, 4, 5}. Banyak pemetaan yang mungkin dari A ke B adalah …. A. 15 B. 32 C. 125 D. 243 15. Bentuk sederhana dari adalah .... 16. Keliling sebuah lingkaran adalah 31,4 cm. Luas lingkaran tersebut adalah … (π = 3,14). A. 78,5 cm2 B. 62,8 cm2 C. 314 cm2 D. 628 cm2 17. Tini memiliki pita sepanjang 1,5 m dan Neni memiliki pita 4.500 cm. Perbandingan pita Tini dan Neni adalah …. A. 1 : 45 B. 1 : 30 C. 1 : 3 D. 1 : 2 18. Sebuah kantong berisi bola yang terdiri atas 18 bola merah, 12 bola biru, dan 10 bola kuning. Jika diambil sebuah bola secara acak maka peluang terambilnya bola berwarna biru adalah …. A. 7/10 B. 4/10 C. 3/10 D. 1/10 19. Perhatikan gambar!
0857-9195-7522 0857-9195-7592 [email protected] www.olimpiadekita.com Gedung Inovasi Lantai 2 - Pusat Inkubasi Bisnis - PPNS - Sukolilo - Kota Surabaya Besar ∠BAD adalah …. A. 50° B. 60° C. 70° D. 80° 20. Bentuk sederhana dari 5x 2 - 2xy - 8y 2 - 6x 2 - xy + 3y 2 adalah …. A. -x 2 - 3xy + 5y 2 B. -x 2 - 3xy - 5y 2 C. x 2 + xy - 5y 2 D. x 2 + xy + 5y 2 21. Perhatikan pola berikut! Pada pola di atas banyak noktah pada pola ke-8 adalah …. A. 17 B. 16 C. 15 D. 14 22. Mumtaz membuat kerangka akuarium yang terbuat dari aluminium dengan ukuran 120 cm × 60 cm × 80 cm. Jika harga 1 meter aluminium Rp8.000,00, biaya yang diperlukan untuk membeli aluminium adalah …. A. Rp41.600,00 B. Rp57.600,00 C. Rp83.200,00 D. Rp94.200,00 23. Perhatikan pemfaktoran berikut ini!
0857-9195-7522 0857-9195-7592 [email protected] www.olimpiadekita.com Gedung Inovasi Lantai 2 - Pusat Inkubasi Bisnis - PPNS - Sukolilo - Kota Surabaya i 9ab + 21ac = 3a(3b + 7c) ii x 2 − 9 = (x − 3)(x − 3) iii 3p 2 − p − 2 = (3p + 2)(p − 1) Pemfaktoran tersebut yang benar adalah .... A. i, ii B. i, ii C. ii, iii D. i, ii, iii 24. Diketahui titik A(2, 7), B(-3, -3), dan C(3, a). Jika titik A, B, dan C terletak pada satu garis lurus maka nilai a adalah .... A. 8 B. 9 C. 11 D. 12 25. Persamaan garis yang sejajar dengan garis yang melalui titik A(2, 2) dan B(4, 8) adalah .... A. y - 3x = -12 B. y + 3x = 18 C. 3x + y = 12 D. x - 3y = 18 26. Diketahui sistem persamaan 4x + 3y = 23 dan 5x - 7y = -25. Nilai dari -3x + 6y adalah .... A. -24 B. -23 C. 24 D. 36 27. Harga 3 kg mangga dan 4 kg jeruk Rp81.000,00, sedangkan harga 2 kg mangga dan 6 kg jeruk adalah Rp104.000,00. Harga 5 kg mangga dan 5 kg jeruk adalah .... A. Rp35.000,00 B. Rp75.000,00 C. Rp110.000,00 D. Rp220.000,00 28. Pada suatu kelas terdapat 12 siswa laki-laki dan 18 siswa perempuan. Jika ratarata hasil tes IQ siswa laki-laki 110, rata-rata hasil tes IQ siswa perempuan 120, rata-rata hasil tes IQ seluruh siswa dalam kelas tersebut adalah …. A. 114,6 B. 115 C. 116 D. 116,4
0857-9195-7522 0857-9195-7592 [email protected] www.olimpiadekita.com Gedung Inovasi Lantai 2 - Pusat Inkubasi Bisnis - PPNS - Sukolilo - Kota Surabaya 29. Seorang tukang parkir mendapat uang sebesar Rp17.000,00 dari 3 buah mobil dan 5 buah motor, sedangkan dari 4 buah mobil dan 2 buah motor ia mendapat uang Rp18.000. Jika terdapat 20 mobil dan 30 motor, banyak uang parkir yang ia peroleh adalah …. A. Rp135.000,00 B. Rp115.000,00 C. Rp110.000,00 D. Rp100.000,00 30. Hasil pengukuran berat badan balita di sebuah posyandu adalah sebagai berikut (dalam kg): 20, 15, 19, 20, 18, 17, 17, 25, 19, 17, 17, 18, 15, 15, 23, 13. Modus dan rata-rata berat badan balita tersebut berturut-turut adalah …. A. 17 dan 18 B. 17 dan 19 C. 18 dan 17 D. 22 dan 18 31. Perhatikan gambar ! Luas permukaan bola yang memiliki jari-jari 28 cm adalah …. A. 10.680 cm2 B. 9.856 cm2 C. 3.282 cm2 D. 2.464 cm2 32. Himpunan penyelesaian dari –7p + 8 < 3p – 22, untuk p adalah bilangan bulat adalah .... A. {…,–6, –5, –4} B. {…,2, 1, 0} C. {4, 5, 6, …} D. {–2, –1, 0, …} 33. Perhatikan gambar!
0857-9195-7522 0857-9195-7592 [email protected] www.olimpiadekita.com Gedung Inovasi Lantai 2 - Pusat Inkubasi Bisnis - PPNS - Sukolilo - Kota Surabaya Titik O adalah pusat lingkaran. Garis AC adalah diameter. Besar sudut ADB adalah …. A. 37° B. 53° C. 74° D. 106° 34. Perhatikan diagram panah! Rumus fungsi dari P ke Q adalah …. A. f(x) = 4(2x + 5) B. f(x) = 3(2x + 3) C. f(x) = 2(3x + 9) D. D. f(x) = 1/2 (6x + 18) 35. Persamaan garis b seperti tampak pada gambar adalah ….
0857-9195-7522 0857-9195-7592 [email protected] www.olimpiadekita.com Gedung Inovasi Lantai 2 - Pusat Inkubasi Bisnis - PPNS - Sukolilo - Kota Surabaya A. 2y = x - 1 B. 2y = -x - 1 C. 2y = x + 1 D. 2y = -x + 1 36. Suatu perusahaan taksi memasang tarif seperti grafik berikut. Alia pergi ke rumah nenek yang berjarak 22 kilometer dengan menggunakan taksi tersebut. Berapa tarif taksi yang harus dibayar Alia? A. Rp66.000,00. B. Rp73.000,00. C. Rp132.000,00. D. Rp143.000,00. 37. Diagram berikut menunjukkan besarnya uang saku seorang siswa dalam seminggu. Kenaikan uang saku siswa terjadi pada hari .... A. Senin – Selasa B. Selasa – Rabu C. Rabu – Kamis D. Jumat - Sabtu
0857-9195-7522 0857-9195-7592 [email protected] www.olimpiadekita.com Gedung Inovasi Lantai 2 - Pusat Inkubasi Bisnis - PPNS - Sukolilo - Kota Surabaya 38. Perhatikan gambar! Jika panjang PR = 15 cm maka panjang PT adalah .... A. 11,0 cm B. 10,0 cm C. 7,5 cm D. 6,4 cm 39. Perhatikan gambar! ABCD dan EFGH adalah persegi. Titik B adalah titik pusat persegi EFGH. Luas daerah yang diarsir adalah .... A. 32 cm2 B. 24 cm2 C. 16 cm2 D. 12 cm2 40. Gambar grafik Kartesius yang menyatakan f(x) = 2x − 1, x ∈ R adalah ....
0857-9195-7522 0857-9195-7592 [email protected] www.olimpiadekita.com Gedung Inovasi Lantai 2 - Pusat Inkubasi Bisnis - PPNS - Sukolilo - Kota Surabaya
0857-9195-7522 0857-9195-7592 [email protected] www.olimpiadekita.com Gedung Inovasi Lantai 2 - Pusat Inkubasi Bisnis - PPNS - Sukolilo - Kota Surabaya [ MATEMATIKA – SMA ] NO. SOAL 1. Bentuk sederhana dari adalah .... A. 4 – 2√3 B. 2 – √3 C. -2 + √3 D. -4 + √3 E. -4 - 2√3 2. Nilai dari adalah .... A. 8/3 B. 10/3 C. 14/3 D. 16/3 E. 20/3 3. Suatu barisan aritmetika memiliki suku kedua adalah 8, suku keempat adalah 14, dan suku terakhir 23. Jumlah semua suku barisan tersebut adalah .... A. 56 B. 77 C. 98 D. 105 E. 112 4. Dari angka 2, 3, 4, 5, 6, dan 7 akan disusun bilangan yang terdiri dari 4 angka yang berbeda. Banyak bilangan yang lebih dari 4.000 adalah .... A. 120 B. 180 C. 240 D. 360 E. 720 5. Diketahui persamaan matriks dengan matriks X berordo 2 × 2. Determinan matriks X adalah .... A. 13 B. 28 C. 37 D. 53 E. 71
0857-9195-7522 0857-9195-7592 [email protected] www.olimpiadekita.com Gedung Inovasi Lantai 2 - Pusat Inkubasi Bisnis - PPNS - Sukolilo - Kota Surabaya 6. Salah satu faktor dari suku banyak 2x 3 + (2m - 1)x 2 - 13x + 6 adalah x - 2. Faktor linear lain dari suku banyak tersebut salah satunya adalah .... A. x + 2 B. x - 3 C. x + 3 D. 2x + 1 E. 2x - 3 7. Persamaan garis singgung kurva y = 2x2 - 3x + 5 melalui titik berbasis 2 pada kurva tersebut adalah .... A. y = 5x + 5 B. y = 5x – 3 C. y = 5x – 17 D. y = 4x + 3 E. y = 4x – 3 8. Di sebuah toko tersedia 1 lusin lampu, 2 di antaranya rusak. Ada 3 orang akan membeli masing-masing 1 lampu. Peluang pembeli ketiga mendapatkan lampu rusak adalah .... A. 1/66 B. 1/33 C. 3/22 D. 1/6 E. 2/11 9. Seutas tali dipotong menjadi 7 bagian dan masing-masing potongan membentuk deret aritmetika. Bila potongan tali terpendek adalah 6 cm dan yang terpanjang 384 cm, panjang tali semula adalah …. A. 1.375 cm B. 1.365 cm C. 1.265 cm D. 1.245 cm E. 762 cm 10. Keliling sebuah persegi panjang 28 cm, sedangkan panjangnya 2 cm lebih panjang dari lebarnya. Luas dari persegi panjang adalah …. A. 48 cm2 B. 44 cm2 C. 28 cm2 D. 14 cm2 E. 8 cm2 11. Jika √ 2 − 4 + 4 − |2 + 3 ≥ 0| maka... A. A.−3 ≤ ≤ − 1 5 B. −5 ≤ ≤ − 1 3
0857-9195-7522 0857-9195-7592 [email protected] www.olimpiadekita.com Gedung Inovasi Lantai 2 - Pusat Inkubasi Bisnis - PPNS - Sukolilo - Kota Surabaya C. ≥ 5 D. ≤ 5 ≥ − 1 3 E. ≤ −3 ≥ − 1 5 12. Apabila log 2 + log (x+1) > log (x-3), maka nilai x yang memenuhi adalah... A. x > -5 B. -5 < x < -1 C. x > -1 A. D.x > 3 D. -5 < x < 3 13. Suatu mesin permainan melempar bola bernomor 1, 2, 3, 4, 5, 6, 7, 8, 9, 10 sebanyak 70 kali. Frekuensi harapan muncul bola dengan nomor bilangan prima adalah …. A. 14 kali B. 21 kali C. 28 kali D. 35 kali E. 42 kali 14. Himpunan penyelesaian dari spasi pertidaksamaan x 2 − x − 20 ≤ 0 adalah .... A. {x | x ≤ −5 atau x ≥ 4} B. {x | x ≤ −4 atau x ≥ 4} C. {x | −4 ≤ x ≤ 5} D. {x | −4 ≤ x < 5} E. {x | −5 ≤ x ≤ 4} 15. Jika maka nilai dari 2p + q =... A. 12 B. 9 C. 6 D. 3 E. -3 16. Berat badan 40 siswa disajikan dalam tabel distribusi frekuensi berikut ini. Berat (kg) Frekuensi 41 - 45 46 - 50 51 - 55 5 10 14
0857-9195-7522 0857-9195-7592 [email protected] www.olimpiadekita.com Gedung Inovasi Lantai 2 - Pusat Inkubasi Bisnis - PPNS - Sukolilo - Kota Surabaya 56 - 60 61 - 65 6 5 Kuartil bawah dari data tersebut adalah .... A. 48,0 kg B. 47,5 kg C. 47,0 kg D. 46,5 kg E. 46,0 kg 17. Nilai dari adalah .... A. 1 B. 0 C. – ½ D. -1 E. -2 18. Seorang penjahit memiliki persediaan 20 m kain polos dan 20 m lain bergaris untuk membuat 2 jenis pakaian. Pakaian model I memerlukan 1 m kain polos dan 3 m kain bergaris. Pakaian model II memerlukan 2 m kain polos dan 1 m kain bergaris. Pakaian model I dijual dengan harga Rp150.000,00 per potong dan pakaian model II dijual dengan harga Rp100.000,00 per potong. Penghasilan maksimum yang dapat diperoleh penjahit tersebut adalah .... A. Rp1.400.000,00 B. Rp1.600.000,00 C. Rp1.800.000,00 D. Rp1.900.000,00 E. Rp2.000.000,00 19. Perhatikan histogram berikut! Kuartil ke-2 (Q2) dari data berat badan yang ditunjukkan pada histogram di atas adalah …. A. 50,5 kg
0857-9195-7522 0857-9195-7592 [email protected] www.olimpiadekita.com Gedung Inovasi Lantai 2 - Pusat Inkubasi Bisnis - PPNS - Sukolilo - Kota Surabaya B. 51,5 kg C. 52,5 kg D. 53,5 kg E. 54,5 kg 20. Di toko yang sama, Dira, Anita, dan Sita membeli alat-alat tulis. Dira membeli 2 buku tulis, 1 pensil, dan 1 penggaris dengan harga Rp19.000,00. Anita membeli 1 buku tulis, 2 pensil, dan 2 penggaris dengan harga Rp20.000,00. Sedangkan Sita membeli 3 buku tulis, 2 pensil, dan 1 penggaris dengan harga Rp28.000. harga yang harus dibayar untuk membeli 1 buku tulis, 3 pensil, dan 2 penggaris adalah …. A. Rp23.000,00,- B. Rp24.000,00,- C. Rp25.000,00,- D. Rp27.000,00,- E. Rp33.000,00,- 21. Diketahui matriks dan matriks AB = C. Matriks C-1 adalah invers matriks C, maka matriks C-1 = …. 22. Jika fungsi maka (g . f) -1 (x) =…
0857-9195-7522 0857-9195-7592 [email protected] www.olimpiadekita.com Gedung Inovasi Lantai 2 - Pusat Inkubasi Bisnis - PPNS - Sukolilo - Kota Surabaya 23. Diketahui Nilai p yang memenuhi adalah …. A. -26 B. -13 C. -3 D. 3 E. 13 24. Suatu segitiga KLM dengan titik K(4, 3), L(-1, 2), dan M(3, 5) dirotasikan sejauh 180° dengan pusat rotasi (2, 2). Bayangan ketiga titik tersebut berturut-turut adalah …. A. (-4, -3), (1, -2), (-3, -5) B. (-3, -4), (-2, 1), (-5, -3) C. (3, 4), (2, -1), (5, 3) D. (0, 1), (5, 2), (1, -1) E. (1, -1), (2, -5), (-1, 1) 25. Perusahaan listrik suatu wilayah membuat jadwal pemadaman listrik pada 30 komplek perumahan yang ada pada wilayah cakupannya sebagai berikut: Hari Banyak komplek yang mengalami pemadaman Senin 4 Selasa 5 Rabu 3 Kamis 5 Jumat 4 Sabtu 5 Minggu 4 Jika jadwal pemadaman tersebut berlaku secara acak pada semua komplek, peluang terjadi pemadaman listrik di sebuah komplek pada hari Rabu atau Minggu adalah …. A. 1/300
0857-9195-7522 0857-9195-7592 [email protected] www.olimpiadekita.com Gedung Inovasi Lantai 2 - Pusat Inkubasi Bisnis - PPNS - Sukolilo - Kota Surabaya B. 1/10 C. 1/15 D. 13/100 E. 7/30 26. Diketahui f(x) = 2x 2 - 3x - 5. Hasil dari adalah .... A. 2x - 3 B. 4x - 3 C. 6x - 3 D. 4x3 - 3x2 E. 4x3 - 2x 27. Persamaan grafik fungsi kuadrat pada gambar adalah .... A. y = 8 - x 2 B. y = 4 - x 2 C. y = 8 - 2x 2 D. y = 6 - 2x 2 E. y = 4 - 2x 2 28. Suatu gedung pertunjukan mempunyai beberapa baris kursi. Setelah baris pertama, setiap baris mempunyai kursi 4 lebih banyak daripada baris sebelumnya. Perbandingan banyak kursi pada baris ke-4 dan ke-10 adalah 2 : 5. Baris terakhir mempunyai 72 kursi. Banyak kursi yang dimiliki gedung tersebut adalah .... A. 612 kursi B. 648 kursi C. 684 kursi D. 720 kursi E. 756 kursi
0857-9195-7522 0857-9195-7592 [email protected] www.olimpiadekita.com Gedung Inovasi Lantai 2 - Pusat Inkubasi Bisnis - PPNS - Sukolilo - Kota Surabaya 29. Untuk menggalang keakraban di kalangan pelajar, dua sekolah menengah SMA "A" dan SMA "B" yang lokasinya berdekatan, berkolaborasi di bidang ekstrakurikuler yaitu olahraga futsal, paskibra, dan seni. Sebanyak 40 siswa SMA "A" dan 60 siswa SMA "B" mengikuti kegiatan dan siswa-siswa tersebut hanya boleh mengikuti satu kegiatan. Ada 25 siswa yang mengikuti kegiatan olahraga futsal dan 40 siswa mengikuti paskibra. Ada 30 siswa SMA "B" yang mengikuti kegiatan seni dan 15 siswa SMA "A" mengikuti kegiatan olahraga futsal. Jika seorang siswa diambil secara acak maka peluang yang terpilih dari SMA "B" dan mengikuti paskibra adalah .... A. 3/10 B. 1/5 C. 3/20 D. 1/10 E. 1/20 30. Daerah yang diarsir pada grafik di bawah ini merupakan penyelesaian dari sistem pertidaksamaan …. A. 2x − y ≤ 2, 4x + 3y ≤ 24, x ≥ 0, y ≥ 0 B. 2y − x ≤ 2, 4x + 3y ≥ 24, x ≥ 0, y ≥ 0 C. 2y − x ≤ 2, 4x + 3y ≤ 24, x ≥ 0, y ≥ 0 D. 2y − x ≥ 2, 4x + 3y ≤ 24, x ≥ 0, y ≥ 0 E. 2x − y ≥ 2, 4x + 3y ≤ 24, x ≥ 0, y ≥ 0 31. Diketahui limas beraturan T.ABCD dengan rusuk alas 6 cm dan rusuk tegak 6√2 cm.
0857-9195-7522 0857-9195-7592 [email protected] www.olimpiadekita.com Gedung Inovasi Lantai 2 - Pusat Inkubasi Bisnis - PPNS - Sukolilo - Kota Surabaya Jika antara garis OT dan AT membentuk sudut λ, besar sudut λ adalah …. A. 0° B. 30° C. 45° D. 60° E. 90° 32. Salah satu kebiasaan baik yang dilakukan siswa adalah menyisihkan uang jajannya untuk dikumpulkan dan digunakan untuk membeli barang kebutuhannya. Citra dan Syifa menabung agar dalam waktu bersamaan dapat membeli sepatu baru. Harga sepatu Citra adalah dua kali harga sepatu Syifa. Pada saat ini Citra mempunyai uang simpanan Rp40.000,00 dan akan menabung setiap hari Rp3.500,00, sedangkan Syifa saat ini mempunyai simpanan Rp10.000,00 dan akan menabung setiap hari Rp2.000,00. Harga sepatu yang akan dibeli Syifa adalah …. A. Rp80.000,00 B. Rp90.000,00 C. Rp120.000,00 D. Rp140.000,00 E. Rp180.000,00 33. Nilai dari adalah …. A. 58 B. 56 C. 54 D. 48 E. 36 34. Harga 3 buah kue A dan 2 buah kue B adalah Rp9.000,00. Harga sebuah kue A adalah Rp600,00 lebih mahal dari harga kue B. Jika dimisalkan satu kue A = a
0857-9195-7522 0857-9195-7592 [email protected] www.olimpiadekita.com Gedung Inovasi Lantai 2 - Pusat Inkubasi Bisnis - PPNS - Sukolilo - Kota Surabaya dan harga satu kue B = b, model matematika yang sesuai dengan permasalahan tersebut adalah …. A. 3a + 2b = 9.000; a + b = 600 B. 3a + 2b = 9.000; a + b = 8.400 C. 3a + 2b = 9.000; a - b = 8.400 D. 3a + 2b = 9.000; a - b = 600 E. 3a + 2b = 9.000; b - a = 600 35. Daerah asal fungsi agar terdefinisikan adalah …. A. {x│1 ≤ x ≤ 4, x ∈ R} B. {x│x ≤ −1 atau 3 ≤ x ≤ 4, x ∈ R} C. {x│x ≤ −3 atau 1 ≤ x ≤ 4, x ∈ R} D. {x│1 ≤ x ≤ 3 atau x > 4, x ∈ R} E. {x│−3 ≤ x ≤ 1 atau x > 4, x ∈ R} 36. Limit dari adalah …. A. -5/2 B. -1/2 C. ½ D. 3/2 E. 5/2 37. Dari selembar karton berbentuk persegi yang berukuran sisi 30 cm akan dibuat kotak tanpa tutup dengan cara menggunting empat persegi di setiap pojok karton seperti pada gambar. Volume kotak terbesar yang dapat dibuat adalah …. A. 2.000 cm3 B. 3.000 cm3 C. 4.000 cm3 D. 5.000 cm3 E. 6.000 cm3
0857-9195-7522 0857-9195-7592 [email protected] www.olimpiadekita.com Gedung Inovasi Lantai 2 - Pusat Inkubasi Bisnis - PPNS - Sukolilo - Kota Surabaya 38. Ibu Giat dan Ibu Prestasi berbelanja di toko Bahagia. Ibu Giat membeli 2 kg gula dan 3 kg beras, dan ia harus membayar Rp64.000,00. Sedangkan Ibu Prestasi membeli 5 kg gula dan 4 kg beras, dan ia harus membayar Rp118.000,00. Toko Bahagia menjual gula dengan harga x rupiah tiap kilo dan beras dengan harga y rupiah tiap kilo. Permasalahan tersebut dapat ditampilkan dalam bentuk persamaan matriks …. 39. Sisno diminta mengukur tinggi tiang bendera menggunakan klinometer. Saat pertama berdiri dengan melihat ujung tiang bendera, terlihat pada klinometer menunjuk pada sudut 60°. Kemudian ia bergerak menjauhi tiang bendera sejauh 10 m dan terlihat pada klinometer sudut 45°. Tinggi tang bendera adalah …. A. (15 + 10√3) m B. (15 + 5√3) m C. (15 - 5√3) m D. (15 - 10√3) m E. (5 + 10√3) m 40. Sebuah kapal mulai bergerak dari pelabuhan A pada pukul 07.00 dengan arah 030° dan tiba di pelabuhan B setelah 4 jam bergerak. Pukul 12.00 kapal bergerak kembali dari pelabuhan B menuju pelabuhan C dengan memutar
0857-9195-7522 0857-9195-7592 [email protected] www.olimpiadekita.com Gedung Inovasi Lantai 2 - Pusat Inkubasi Bisnis - PPNS - Sukolilo - Kota Surabaya haluan 150° dan tiba di pelabuhan C pukul 20.00. Kecepatan rata-rata kapal 50 mil/jam. Jarak tempuh kapal dari pelabuhan C ke pelabuhan A adalah .... A. 200√2 mil B. 200√3 mil C. 200√6mil D. 200√7mil E. 600 mil
0857-9195-7522 0857-9195-7592 [email protected] www.olimpiadekita.com Gedung Inovasi Lantai 2 - Pusat Inkubasi Bisnis - PPNS - Sukolilo - Kota Surabaya PENUTUP Olimpiadekita.com didirikan sejak tahun 2019 yang lalu sebagai Lembaga Swadaya Pengembangan dan Pemberdayaan Pendidikan. Lembaga ini berkerjasama dengan berbagai Lembaga, Komunitas, maupun Organisasi yang berfokus pada pemberdayaan pendidikan bagi kalangan menengah kebawah. Olimpiadekita.com berkomitmen dalam mewujudkan generasi yang unggul, berprestasi, berintegritas, dan berdaya saing baik di skala nasional maupun internasional. Buku kumpulan soal ASCIENCO #5 ini menyajikan seluruh soal-soal yang terdapat pada Kompetisi ASCIENCO #5 dari seluruh bidang kompetisi seperti Fisika SMA, Kimia (SMA), Kedokteran (SMA), Matematika (SMP & SMA), Sosiologi (SMA), Geografi (SMA), Biologi (SMP & SMA), Ilmu Pengetahuan Komputer (SMP & SMA) dan Bahasa Inggris (SMP & SMA). Buku ini diharapkan dapat dijadikan sebagai buku latihan bagi seluruh peserta ASCIENCO #5. Selain itu, buku kumpulan soal ini juga diharapkan dapat menambah pengetahuan dan wawasan bagi seluruh peserta.