SOAL TES POTENSI AKADEMIK (TPA) SIPENCATAR JALUR PONDOK PESANTREN 2018
KEMENTERIAN PERHUBUNGAN BADAN PENGEMBANGAN SDM PERHUBUNGAN SEKOLAH TINGGI PENERBANGAN INDONESIA TAHUN 2018
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PETUNJUK PENGISIAN : 1.
2.
3.
4.
Jangan melakukan/mengerjakan soal atau menulis apapun sebelum pengawas memberikan penjelasan umum tentang pelaksanaan ujian dan cara mengerjakan soal. Setelah penjelasan dari pengawas, isikan terlebih dahulu identitas Saudara pada lembar kerja/jawab yang telah disediakan yakni, Nama, Jurusan, Jenis Kelamin, Tanggal Lahir serta Tanda Tangan (jangan lewat/keluar kotak yang telah tersedia). Jawaban ditulis pada lembar kerja menggunakan ballpoint dengan cara memberikan tanda silang jawaban A, B, C atau D. Untuk membetulkan kesalahan dengan cara melingkari jawaban yang salah dan kemudian menyilangjawaban yang benar. Hanya boleh dilakukan satu kali pembetulan.Contoh : a
5.
b
c
d
Hal-hal yang tidak boleh dilakukan oleh peserta ujian, yaitu: a. Mengerjakan soal dengan menggunakan kalkulator. b. Mengaktifkan handphone. c. Saling bertanya kepada sesame pesertaujian. d. Saling meminjam alat-alat tulis. e. Melakukan sesuatu tindakan yang dapat mengganggu ketertiban, ketenangan, dan konsentrasi pesertaujian. f. Membawa buku/catatan apapun kedalam ruangan ujian. g. Meninggalkan ruangan selama ujian berlangsung.
6.
Lembar soal tidak boleh dirobek atau dicoret-coret.
7.
Lembar soal dikumpulkan bersama-sama dengan lembar kerja Peserta yang telah selesai mengerjakan soal, dapat meninggalkan ruangan dengan tenang.
8.
PANITIA SELEKSI
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SOAL MATEMATIKA
1.
Rini membeli 2 kg jeruk dan 2 kg apel dengan harga Rp. 41.000 sedangkan Ajeng membeli 4 kg jeruk dengan 3 kg apel dengan harga Rp. 71.000. Widya membeli 3 kg jeruk dan 2 kg apel pada toko yang sama, dan d an Widya membayar dengan uang Rp. 100.000 uang u ang kembalian yang
diterima Widya adalah …… A. Rp. 49.000 B. Rp. 49.500 C. Rp. 50.000 D. Rp. 50.500 E. Rp. 55.000 2.
Sebuah pesawat terbang melaju dengan kecepatan 300 km/jam pada menit pertama. Kecepatan pada menit berikutnya 1½ kali dari kecepatan sebelumnya. Panjang lintasan
seluruhnya dalam 4 menit pertama adalah …… A. 2.437,50 km B. 2.438,00 km C. 2.438,50 km D. 2.439,00 km E. 2.440,00 km 3.
Diketahui Kubus ABCD.EFGH dengan panjang rusuk 8 cm. Jarak titik H dari garis AC adalah
…… A. 8√3 cm B. 8√2 cm C. 4√6 cm D. 4√3 cm E. 5√2 cm 4. Nilai dari cos 2650 – COS COS 950…… A. -2 B. -1 C. 0 D. 1 E. 2
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5.
Diketahui kubus ABCD.EFGH dengan panjang rusuk 5 cm. Jarak titik C ke Garis FH adalah
…… A. 5/2 √6 cm B. 5/2 √7 cm C. 3,5 cm D. 4 cm E. 5 cm 6.
Turunan pertama dari y=sin2(5x-π) adalah …… A. y’ = -10 sin(5x- π) B. y’ = -5 sin(10x-2π) C. y’ = -5 sin(5x-π) D. y’ = 5 sin(10x-2π) E. y’ = 5 sin(5x- 2π)
7.
Fungsi kuadrat y=2ax-4x+3a mempunyai nilai maksimum 1, nilai dari 27a3-9a = …… A. -2 B. -1 C. 3 D. 6 E. 4
8.
Jika luas daerah yang dibatasi oleh kurva y=x2 dan garis y=(2m-1)x adalah 4½ satuan luas,
maka nilai m = …… A. B. C. D. E. 9.
3 2 3/2 5/2 1
Jumlah n suku pertama suatu deret aritmetika dinyatakan Sn=4n2+3n. Selisih suku ketiga dan
suku kedelapan adalah …… A. B. C. D.
30 32 40 42 44
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10. Dari angka-angka 1,2,3,4,5,6 dan 7 akan disusun suatu bilang terdiri dari 3 angka berbeda
yang kurang dari 500. Banyak cara menyusun bilangan tersebut adalah …… A. 120 B. 140 C. 160 D. 210 E. 220 11. Dua buah dadu dilempar undi satu kali, peluang muncul mata dadu berjumlah 9 orang atau 6
orang adalah …… A. 4/36 B. 7/36 C. 9/36 D. 12/36 E. 15/36 12. Suatu barisan aritmetika memiliki suku ke dua adalah 8, suku ke empat adalah 14, dan suku
terakhir 23. Jumlah semua suku barisan tersebut adalah …… A. B. C. D. E.
56 77 98 105 115
13. Persamaan kuadrat x2-px+12 = 0 mempunyai akar-akar
memenuhi adalah …… A. B. C. D. E.
64 32 16 8 10
α dan β. Jika α=3β, nilai p yang
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14. Perhatikan data pada tabel berikut : Nilai 31 – 40 41 – 50
Frekuensi 3 5
51 – 60 61 – 70 71 – 80
10 11 8
81 – 90
3
Kuartil bawah dari data di atas adalah …… A. 48,5 B. 51,5 C. 52,5 D. 54,5 E. 56,5 15. Jika p dan q adalah akar-akar dari persamaan kuadrat x2
+ 9 = 30x , maka nilai dari √p + √q
adalah …… A. B. C. D. E.
6 7 4 3 1
16. Amel membeli 3 kg apel dan 11 kg anggur seharga Rp 270.000,00. Erwin membeli 4 kg anggur dan 7 kg apel seharga Rp 180.000,00. Jika Ari membeli 3 kg anggur dan 2 kg apel,
maka ia harus membayar …… A. Rp 105.000,00 B. Rp 103.000,00 C. Rp 96.000,00 D. Rp 90.000,00 E. Rp 80.000,00 17. Suku banyak f(x) = x3 – ax ax2 + bx – 2 2 mempunyai factor (x – 1). 1). Jika dibagi oleh (x + 2) bersisa
– 36, – 36, maka nilai a + b = …… A. 5
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18. Pada bulan mei sebuah perusahaan telekomunikasi berkeinginan mengeluarkan kartu perdana dengan nomor khusus yang terdiri atas 5 angka yang selalu diawali dengan angka 8 dan diakhiri dengan angka ganjil serta boleh berulang. Banyaknya kartu perdana yang harus disediakan
adalah …… A. B. C. D. E.
1.344 1.680 2.688 5.000 7.000
19. Sebuah almari buku berisi 3 buku kimia, 2 buku fisika, dan 5 buku matematika. Seorang guru akan mengambil 3 buku untuk dijadikan referensi modul yang akan dibuatnya. Banyak cara pemilihan 3 buah buku dengan diantaranya terdapat sebuah buku kimia adalah …… A. 90 B. 85 C. 63 D. 30 E. 15 20. Sebuah kotak berisi 5 bola merah, 4 bola biru, dan 3 bola kuning. Dari dalam kotak diambil 3
buah bola secara acak. Peluang Peluan g terambilnya 2 bola merah dan 1 bola biru adalah ….. A. B. C. D. E.
1/11 2/11 3/11 4/11 5/11
21. Tiga pria dan tiga wanita akan duduk dalam satu baris. Banyak cara mereka duduk sehingga
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22. Seorang pedagang roti meniual dua ienis roti. Ro'ti A seharga Rp1.800,00 dijualdengan laba Rp20O00 per buah. Rcli 3 seharga Rp2-000,00 dijual dengan laba Rp500,00 per buah. Pedagang tersebut mempunyai modal Rp500.00Q00,sedangkan kiosnya hanya dapat menampung 275 buah roti. Keuntungan maksimum yang diperoleh jika seluruh roti teriual habis adalah . . . . A. Rp55.000,00 B. Rp62.500,00 C. Rp125.000,00 D. Rp137.500,00 E. Rp175.000,00 23. Persamaan garis singgung lingkaran melalui titik (-2,-1) pada lingkaran x2 + y2 +12x – 6y 6y +13 = 0 adalah …… A. -2x – y y – 5 5 = 0 B. X – y y + 1 = 0 C. X + 2y + 4 = 0 D. 3x – 2y 2y + 4 = 0 E. 2x – y y + 3 = 0 24. Persamaa grafik fungsi kuadrat yang mempunyai titik balik minimum (1,2) dan melalui titik
(2,3) adalah ….. A. y = x2 – 2x 2x + 1 2 B. y = x – 2x 2x + 3 2 C. y = x + 2x – 1 1 D. y = x2 + 2x + 3 E. y = x2 – 2x 2x – 3 3 25. Agar persamaan kuadrat x2 – 9x 9x + 18 = 0 adalah x1 dan x2. Jika x1 < x2 , nilai 3x1 – 2x 2x2 = ….
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26. Suku banyak P(x) jika dibagi (x2 – x x – 6) 6) memberikan sisa (2x + 7), dan jika dibagi (x2 – 2x) 2x) 2 memberikan sisa (5x – 4). 4). Jika P(x) dibagi oleh (x - 5x + 6), sisanya adalah…. A. 7x – 3 3 B. 7x – 8 8 C. -7x – 19 19 D. -7x – 20 20 E. -7x + 8 27. Diketahui matriks A =
2 6) dan B = ( 5 −5), dan C = (13 18). Jika D = 5A + 2B (−1 6 11 21 11 −2
– C, – C, determian matriks D = …… A. B. C. D. E.
61 51 37 33 23
28. Volume bendan putar yang terjadi jika daerah tertutup yang dibatasi oleh kurva y = 4x – x x dan garis y = 2x diputar mengelilingi sumbu X sejauh 360 adalah …. A. B. C. D. E.
6 π satuan volume 14 π satuan volume 18 π satuan volume π satuan volume 22 26 π satuan volume
°
– 1 pada interval 0≤x≤2 29. Luas daerah tertutup yang dibatasi oleh kurva y = 2x2 – 3, 3, garis y = 3x – 1
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30. Pada sebuah bidang datar terdapat 15 titik yang berbeda. Melalui setiap dua titik yang berbeda dibuat sebuah garis lurus. Banyak garis lurus yang dapat dibuatadalah .... A. 210 B. 105 C. 90 D. 75 E. 65
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SOAL FISIKA
31.
Di bawah ini merupakan kelompok besaran turunan, kecuali …… A. massa, massa jenis, volume B. panjang, waktu, volume C. massa, suhu, kecepatan D. panjang, kuat arus, suhu E. massa, kecepatan, volume
32. Pada pengukuran panjang diperoleh data 502,70 cm. Jumlah angka penting hasil pengukuran
tersebut adalah …… A. 1 B. 2 C. 3 D. 5 E. 7 33. Sebuah perahu bergerak konstan menyebrangi sungai yang lebarnya 120m. Laju perahu adalah 12 m/s diarahkan tegak lurus arah gerak aliran air menuju ke tempat tujuan. Jika
kelajuan air sungai 5 m/s, maka perahu sampai di sebrang akan bergeser sejauh …… A. B. C. D. E.
30 m 50 m 60 m 80 m 90 m
34. Besar kecepatan suatu partikel yang mengalami perlambatan konstan tern yata berubah dari 25 m/s menjadi 5 m/s setelah menempuh jarak 80 m. Partikel tersebut akan berhenti setelah
menempuh lagi jarak sejauh ……
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35. Bola bermassa 1,2 kg dilontarkan dari tanah dengan laju 18 m/s. waktu yang diperlukan untuk
tiba kembali di tanah adalah …… A. B. C. D. E.
0,9 s 1,8 s 2,0 s 3,6 s 4,0 s
36. Sebuah balok berukuran (5 cm x 5 cm x 5 cm) mempunyai massa 0,5 kg terapung di permukaan zat cair yang mempunyai massa jenis 1.000 kg/m3. Jika 20% bagian balok muncul di permukaan zat cair dan g = 10 m/s2, maka besar gaya angkatnya adalah …… A. 0,50 N B. 0,75 N C. 1,00 N D. 1,25 N E. 1,50 N 37. Bejana berisi 4 liter pada suhu 30 OC, kemudian dipanaskan volume air menjadi 4,2 liter pada suhu 80 OC, dengan mengabaikan pemuaian bejana kaca, maka besar koefisien muai volume
air adalah ……
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39. Seberkas cahaya monokromatik dengan panjang gelombang 5 x 10-7 m mengenai kisi yang terdiri dari N garis/mm. Jika sudut deviasi orde pertama sebesar 30 o, maka nilai N adalah
…… A. B. C. D. E.
1.000 garis/mm 500 garis/mm 100 garis/mm 50 garis/mm 25 garis/mm
40. Seberkas cahaya monokromatik dijatuhkan pada dua celah sempit, sehingga terjadi interferensi yang dapat terlihat di layar. Dari pernyataan be rikut. (1) Semakin dekat jarak layar ke celah, semakin jauh jarak antarpita. (2) Semakin dekat jarak layar ke celah, semakin dekat jarak antarpita. (3) Semakin jauh dari terang pusat, pu sat, intensitas semakin kecil. (4) Semakin jauh dari terang pusat, pu sat, intensitas semakin besar.
Pernyataan yang benar adalah …… A. B. C. D.
(3) dan (4) (2) dan (4) (2) dan (3) (1) dan (3)
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43. Sebuah roda menggelinding dengan kecepatan k ecepatan 180 rpm, 10 detik kemudian roda berhenti. Jika jari roda 30 cm, jarak yang ditempuh roda adalah ad alah …… jari- jari A. Π m B. 0,5 Π m C. 1,5 Π m D. 3 Π m E. 4,5 Π m 44. Sebuah benda jatuh bebas dari ketinggian 80 m di atas tanah. Jika tumbukan dengan elastis
sebagian (e=0,2), kecepatan pantul benda setelah tumbukan adalah…. A. B. C. D. E.
4 6 8 10 12
45. Sebuah pipa mendatar mempunyai 2 bagian diameter yang berbeda masing-masing 6 cm dan 3 cm. Jika pada diameter besar air mengalir dengan kecepatan 1 m/s tekanan 15 kpa, maka
kecepatan dan tekanan pada bagian pipa yang lain adalah …… A. 4 m/s dan 15 kpa
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47. Tiga mobil P, Q, dan R berangkat secara bersamaan dari tempat yang sama mendaki jalan di pegunungan. Mobil P dan Q sejenis sejenis dan berat keduanya sama. Mobil R tidak seienis, dan lebih berat dari mobil P dan Q. Ternyata Mobil P dan R tiba tiba di tujuan secara secara bersamaan, sedangkan mobil Q tcrtinggal di belakang. Manakah pernyataan berikut yang benar ? A. Usaha mobil P lebih besar dari pada Q B. Usaha mobil P sama dengan mobil R C. Daya mobil Q lebih kecil dari pada P D. Daya mobil P sama dengan mobil Q E. Daya mobil P lebih besar dari pada R 48. Seorang ibu calon penumpang duduk diam di stasiun menunggu kereta api. Sebuah lokomotif sambil membunyikan peluitnya, bergerak mendekati posisi ibu tersebut, lewat di depannya kemudian menjauh. Bagaimana bunyi peluit tersebut menurut ibu tersebut? A. Semakin menjauh, frekuensi bunyi peluit semakin rendah B. Semakin menjauh frekuensi bunyi peluit semakin tinggi C. Semakin mendekat , panjang gelombang bunyi peluit semakin besar D. Semakin mendekat, laju gelombang bunyi peluit semakin cepat E. Semakin mendekat, frekuensi bunvi peluit semakin rendah 49. Sebuah tong dengan massa jenis rata-rata 0,9 g/cm3 terapung-apung di laut (massa jenis air
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51. Pada suatu jalan yang macet, 10 sepeda motor sejenis secara bersama-sama menimbulkan bunyi dengan taraf intensitas bunyi sebesar 90 dB. (l0 = 1012 watt m-2 ). Taraf intensitas suara mesin satu sepeda motor yang melewati jalan tersebut adalah .... A. 100 dB B. 90 dB C. 80dB D. 60 dB E. 50 dB 52. Pak Agus berangkat menuju ke kantor menjalankan mobilnya memasuki jalan tol pada pukul 06.30. Karena jalan macet mobilnya hanya dapat bergerak dengan kecepatan rata-rata 20 km/jam saja. Dari pintu keluar tol sampai kantor jalan lancer sehingga mobil dapat bergerak dengan kecepatan rata-iata 40 km/jam. Jika panjang pan jang jalan tol 30.000 m dan jarak dari pintu tol ke kantor 10.000 m, pukul berapa pak Agus sampai di kantornya? A. 08.10 B. 08.15 C. 08.25 D. 08.30 E. 08.15
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55. Sebuah benda ketika ditimbang dengan cara digantung ternyata beratnya: 10 N, namun ketika ditimbang di dalam air ternyata beratnva 30 N (massa jenis air = 1000 kg/m3). Manakah pernyataan berikut yang benar berkaitan dengan Peristiwa tersebut …. A. Gaya Atchimedes vang dialami benda sebesar 20 N B. Gaya angkat pada benda olch air sebesar 30 N C. Massajenis benda adalah4000 kg/m D. Massa jenis benda adalah 3000 kg/m E. Saat di air, pada benda tidak bekerja gaya gravitasi bumi 56. Sebuah alat komunikasi radio di kapal selam mempun yai daya 80 watt pada tegangan tegan gan sumber 220 volt. Jika radio akan dipasang pada tegangan 110 volt, maka daya yang dipakai radio adalah....
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59. Kapal pengangkut minvak buni bergerak dengan gaya dorong mesin sebesar 10.000 N. Kapal mengalami gesekan air laut sebesar 500 N dan harus melawan arah angin sebesar 300 N . Gaya gerak kapal sebenarnya adalah . . . . A. 10.800 N B. 10.200 N C. 9.800 N D. 9.200 N E. 800 N 60. Sebuah roket mainan diluncurkan miring membentuk sudut elevasi 300 dengan kecepatan awal 20 m.s-1 sehingga membentuk lintasan parabola. Diketahui percepatan gravitasi g : 10 m.s-2, maka jarak mendatar yang dicapai roket adalah ....
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SOAL BAHASA INGGRIS The text is for questions 61 to 63 Circuses Should Not Use Animals
Animals should not be used in circus. The Th e environment where they perform and their living conditions are usually inappropriate. Tigers, for ex ample, which naturally live in wilderness, must perform tricks on narrow stage and spend their lifetime in a small cage. Besides, the living conditions of the circus animal are poor. They live in a cramped condition most of the time. They actually need more space to roam. The y also do not have freedom to live with their own kind. We should ban the use of animals in circus and their confinement there.
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Questions 64 to 66 Complete the following text with the words provided.
We brought our newborn son, Adam, to the pediatrician for this first checkup. As he (64) ……, the doctor told us, “You have (65) ……”
Smiling, I said “I bet you say that to all new parent”. “No,” he replied, “just you those whose babies are (66) ……” “So what dou you say to the other?” I asked “He looks like you”. -Matt Slot64. A. Cried B. Prepared
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68. Rearrange the following sentences into a correct and meaningful procedure. (1) When you are happy with your setting, click “Print”. The document will now start printing on your printer. (2) Open an existing “Word document” you want to print, or start a new document and type your text. (3) In this dialogue box, choose how many copies of your document you need. (4) Move down and click Print in the menu. This will bring up the “Print” dialogue box. (5) Then, depending on your printer options, you can choose other printing features in this dialogue box. (6) Once you have completed your document and are ready to print, click “File” in the top left-hand corner of your document. A. (2)-(6)-(3)-(4)-(5)-(1)
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: “This beach is very beautiful.” 71. Man Woman : “I think so. Let’s take some pictures.” : “We don’t bring any camera, remember?” Man Narrator : How does the woman probably respond?
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74. What does the writer recommend to the readers ? A. To create a game story B. To learn Mathematics seriously C. To agree with the writer’s opinion
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This text is for question 78 to 81
All human beings eat food food and make of the chemical energy in it, it, so do all other animals.
Perhaps you wonder where all the chemical energy comes from. Why doesn’t the food all get used up?
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81. The green substance in plants is chlorophyll. The underlined word in the above sentence is
closest in meaning to …… A. Body B. Material
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86. For those of you taking the 945 star light special to emany field, you need to … your ticket for boarding pass. A. Purchase B. Exchange
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