To Dki Matematika Ips 2018 Quiz

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Quizzes Created: 9 | Total Attempts: 11,669
Questions: 35 | Attempts: 401

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To Dki Matematika Ips 2018 Quiz - Quiz

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Questions and Answers
  • 1. 

     

    Correct Answer
    A.
  • 2. 

    Correct Answer
    B.
  • 3. 

    • A.

      6

    • B.

      8

    • C.

      9

    • D.

      10

    • E.

      12

    Correct Answer
    C. 9
  • 4. 

    Correct Answer
    B.
  • 5. 

    • A.

      – 15

    • B.

      – 18

    • C.

      – 20

    • D.

      – 21

    • E.

      – 23

    Correct Answer
    E. – 23
    Explanation
    The correct answer is – 23. This is because the numbers given are in descending order, and the pattern is decreasing by 3 each time. So, starting from 15 and subtracting 3 each time, the next number would be 12, then 9, then 6, then 3, and finally -2. Therefore, the missing number in the sequence would be -2, which is represented by – 23.

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  • 6. 

    Correct Answer
    A.
  • 7. 

    Correct Answer
    D.
  • 8. 

    Correct Answer
    D.
  • 9. 

    Seorang pengusaha angkutan memiliki 50 kendaraan. Dari seluruh kendaraan tersebut ada 110 roda. Jenis kendaraan tersebut adalah mobil dan sepeda motor. Jika pengusaha tersebut memiliki x mobil dan memiliki y motor. Sistem persamaan yang sesuai dengan persoalan tersebut adalah ...

    Correct Answer
    A.
    Explanation
    Jumlah mobil yang dimiliki adalah x dan jumlah sepeda motor yang dimiliki adalah y. Setiap mobil memiliki 4 roda dan setiap sepeda motor memiliki 2 roda. Jumlah roda dari mobil dan sepeda motor adalah 110. Oleh karena itu, persamaan yang sesuai dengan persoalan tersebut adalah 4x + 2y = 110.

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  • 10. 

    • A.

      2

    • B.

      3

    • C.

      5

    • D.

      13

    • E.

      15

    Correct Answer
    C. 5
  • 11. 

    Penyelesaian dari 5x+3y£15; x+2y£6, x³0 dan y³0 dapat digambarkan dengan ....

    Correct Answer
    C.
    Explanation
    The given equations 5x + 3y = 15 and x + 2y = 6 represent a system of linear equations. The solution to this system can be found by solving the equations simultaneously. The equations can be solved using various methods such as substitution, elimination, or matrix methods. Once the values of x and y are determined, they can be plotted on a graph to visualize the solution.

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  • 12. 

    Seorang penjaja beras menggunakan gerobak, menjual beras merah dan beras putih. Harga pembelian beras putih Rp18.000,00 tiap kilogram dan beras merah Rp13.500,00 tiap kilogram. Modal yang tersedia hanya Rp2.025.000,00 dan gerobak hanya dapat memuat tidak lebih dari 120 kg. Jika x menyatakan banyaknya kg beras merah dan y banyaknya kg beras putih, maka model matematika dari masalah tersebut adalah ....

    Correct Answer
    D.
    Explanation
    The mathematical model for this problem can be represented as follows:
    18,000x + 13,500y ≤ 2,025,000 (constraint for the available capital)
    x + y ≤ 120 (constraint for the maximum weight the cart can carry)
    x ≥ 0 (non-negativity constraint for the amount of red rice)
    y ≥ 0 (non-negativity constraint for the amount of white rice)

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  • 13. 

    Bu Anna membuka usaha kamar kost, dengan dua tipe. Kamar tipe I disewakan dengan harga Rp800.000,00 / bulan dan tipe II dengan harga Rp1.000.000,00 / bulan. Lahan yang dimiliki cukup untuk membuat 10 kamar. Biaya pembuatan satu unit kamar tipe I sebesar Rp24.000.000,00 dan tipe II sebesar Rp30.000.000,00. Modal yang dimiliki bu Anna sebanyak Rp264.000.000,00. Agar modal cepat kembali pendapatan penyewaan maksimum tiap bulan, adalah … .

    • A.

      Rp9.200.000,00

    • B.

      Rp9.000.000,00

    • C.

      Rp8.800.000,00

    • D.

      Rp8.600.000,00

    • E.

      Rp8.200.000,00

    Correct Answer
    C. Rp8.800.000,00
    Explanation
    The maximum monthly rental income can be calculated by multiplying the number of rooms of each type by their respective rental prices and then summing them up. For type I rooms, the rental income would be 10 (number of rooms) multiplied by Rp800.000,00 (rental price) which equals Rp8.000.000,00. For type II rooms, the rental income would be 10 (number of rooms) multiplied by Rp1.000.000,00 (rental price) which equals Rp10.000.000,00. Summing up the rental incomes for both types, the maximum monthly rental income would be Rp8.000.000,00 + Rp10.000.000,00 = Rp18.000.000,00. Therefore, the correct answer is Rp8.800.000,00.

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  • 14. 

    • A.

      49

    • B.

      36

    • C.

      25

    • D.

      16

    • E.

      9

    Correct Answer
    A. 49
  • 15. 

    Seorang petani jagung menyusun jagungnya sedemikian sehingga membentuk model piramid dengan alas melingkar. Banyaknya jagung pada susunan pertama125 buah.Pada susunan ke – 2 dan seterusnya selalu berselisih sama yaitu 10 jagung. Banyak jagung susunan teratas adalah 5 buah. Banyaknya susunan yang terjadi untuk setiap model piramid adalah ...

    • A.

      10

    • B.

      11

    • C.

      12

    • D.

      13

    • E.

      14

    Correct Answer
    D. 13
    Explanation
    The number of corn in each layer of the pyramid decreases by 10 from the previous layer. The first layer has 125 corns, so the second layer will have 125 - 10 = 115 corns. Similarly, the third layer will have 115 - 10 = 105 corns, and so on. The number of layers can be calculated by finding the difference between the first layer (125 corns) and the top layer (5 corns), which is 125 - 5 = 120. Since each layer decreases by 10 corns, dividing the difference by 10 will give the number of layers, which is 120/10 = 12. However, we need to include the top layer, so the total number of layers is 12 + 1 = 13. Therefore, the correct answer is 13.

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  • 16. 

    Diketahui suku ketiga dan keenam suatu deret aritmetika berturut-turut adalah 125 dan 200. Jumlah 10 suku pertama deret tersebut adalah....

    • A.

      1975

    • B.

      1875

    • C.

      1795

    • D.

      1578

    • E.

      937

    Correct Answer
    B. 1875
  • 17. 

    • A.

      10

    • B.

      8

    • C.

      6

    • D.

      1

    • E.

      0

    Correct Answer
    A. 10
  • 18. 

    • A.
    • B.

      -1,5

    • C.

      -0,5

    • D.

      0,5

    • E.

      1,5

    Correct Answer
    D. 0,5
    Explanation
    The given answer, 0.5, is the only positive number among the options provided. The other options are negative or zero.

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  • 19. 

    Correct Answer
    D.
  • 20. 

    • A.

      2 < x < 6

    • B.

      6 < x < 2

    • C.

      X < 2 atau x > 6

    • D.

      X < 1/2 atau x > 6

    • E.

      X < 1/6 atau x > 2

    Correct Answer
    C. X < 2 atau x > 6
  • 21. 

    Correct Answer
    B.
  • 22. 

    • A.

      -20

    • B.

      -10

    • C.
    • D.

      20

    • E.
    Correct Answer
    D. 20
  • 23. 

    Correct Answer
    D.
  • 24. 

    Sebuah kotak berbentuk kubus dengan sisi 2 m disandarkan miring pada dinding, seperti tampak pada gambar berikut!Maka ketinggian ujung kotak tertinggi bagian atas dari lantai adalah....

    • A.
    • B.
    • C.
    • D.

      3 meter

    • E.

      4 meter

    Correct Answer
    B.
    Explanation
    The correct answer is 4 meter. The height of the highest point of the box from the floor can be found using the Pythagorean theorem. The diagonal of the base of the cube is the hypotenuse of a right triangle, with the height of the box being one of the legs. The other leg can be found by subtracting the length of one side of the cube from the diagonal. Using the Pythagorean theorem, we can find the height to be 4 meters.

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  • 25. 

    Diketahui kubus ABCD.EFGH dengan panjang rusuk 3 cm. Jarak titik E ke garis AG adalah....

    Correct Answer
    E.
    Explanation
    Jarak titik E ke garis AG pada kubus ABCD.EFGH dengan panjang rusuk 3 cm dapat dihitung menggunakan rumus jarak titik ke garis. Untuk menghitung jarak ini, kita perlu menemukan garis yang tegak lurus terhadap garis AG dan melalui titik E. Dalam kubus ini, garis tersebut adalah garis EH. Kemudian, kita dapat menghitung panjang garis EH menggunakan rumus Pythagoras, dengan panjang rusuk kubus sebagai sisi miring dan dua rusuk yang saling tegak lurus sebagai sisi lainnya. Dalam hal ini, panjang garis EH adalah 3√2 cm. Jadi, jarak titik E ke garis AG adalah 3√2 cm.

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  • 26. 

    Correct Answer
    B.
  • 27. 

    Dari angka 2, 3, 4,5, 6 akan dibentuk bilangan yang terdiri dari tiga angka berbeda dan merupakan bilangan genap. Banyak bilangan yang tebentuk ...

    • A.

      3

    • B.

      5

    • C.

      6

    • D.

      10

    • E.

      36

    Correct Answer
    E. 36
    Explanation
    To form a number with three different digits from the given numbers, we can choose the first digit in 5 ways (2, 3, 4, 5, 6). For the second digit, we can choose it in 4 ways (excluding the digit already chosen for the first digit). And for the third digit, we can choose it in 3 ways (excluding the two digits already chosen). Therefore, the total number of possible numbers is 5 x 4 x 3 = 60. However, we need to consider that the number must be even. Out of the 60 possible numbers, half of them will be even. Therefore, the number of even numbers that can be formed is 60/2 = 30. However, we need to exclude the number 2 as it cannot be the first digit. So the final answer is 30 - 1 = 29.

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  • 28. 

    Dari 10 pemain akan dipilih 6 pemain inti bola Volly SMA Bunga bangsa. Banyaknya cara menyusun pemain adalah ...  

    • A.

      36

    • B.

      72

    • C.

      120

    • D.

      180

    • E.

      210

    Correct Answer
    E. 210
    Explanation
    There are 10 players to choose from and 6 spots to fill, so the number of ways to arrange the players can be calculated using the combination formula. The formula for combination is nCr = n! / (r!(n-r)!), where n is the total number of players and r is the number of spots to fill. In this case, n = 10 and r = 6. Plugging these values into the formula, we get 10! / (6!(10-6)!) = 10! / (6!4!) = (10*9*8*7)/(4*3*2*1) = 210. Therefore, there are 210 ways to arrange the players.

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  • 29. 

    Sebuah kotak berisi 6 bola merah dan 4 bola biru. Dari dalam kotak diambil 2 bola sekaligus, peluang terambil keduanya bola merah adalah ...

    Correct Answer
    A.
    Explanation
    The probability of drawing both red balls from the box can be calculated using the concept of combinations. The total number of ways to draw 2 balls from a box containing 10 balls is 10C2 = 45. The number of ways to draw 2 red balls from the box is 6C2 = 15. Therefore, the probability of drawing both red balls is 15/45 = 1/3.

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  • 30. 

    Dua buah dadu dilempar bundi sebanyak 540 kali. Frekuensi harapan munculnya mata dadu berjumlah 5 adalah ...

    • A.

      240 kali

    • B.

      180 kali

    • C.

      90 kali

    • D.

      60 kali

    • E.

      30 kali

    Correct Answer
    D. 60 kali
    Explanation
    The expected frequency of getting a sum of 5 when two dice are rolled is calculated by multiplying the probability of getting a sum of 5 (which is 4/36 or 1/9) by the total number of trials (which is 540). Therefore, the expected frequency is (1/9) * 540 = 60 times.

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  • 31. 

    • A.

      60%

    • B.

      50%

    • C.

      40%

    • D.

      30% .

    • E.

      20%

    Correct Answer
    B. 50%
  • 32.