Latihan Un Matematika Smk
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Questions and Answers
- 1.
Ingkaran dari pemyataan "Jika batas nilai kelulusan tinggi, maka beberapa siswa gagal ujian" adalah ...
- 2.
Diketahui balok dengan ukuran panjang 20 cm, lebar 15 cm, dan tinggi 8 cm. Luas permukaan balok tersebut adalah ....
- 3.
Pada pelemparan tiga keping mata uang logam yang dilempar sebanyak 40 kali, frekuensi harapan muncul ketiga sisi pada keping uang logamnya angka adalah . . ..
- 4.
Rumus suku ke-n dari suatu barisan bilangan dinyatakan dengan Un = n2 – 2n. Besar suku ke 8 dari barisan tersebut ialah … .
- 5.
Pertambahan penduduk suatu kelurahan setiap tahun mengikuti deret geometri. Pada tahun 2013 pertambahannya 42 dan pada tahun 2015 pertambahannya 168. Pertambahan penduduk pada tahun 2018 adalah … .
- 6.
Dandi, Doni, dan Rafi berbelanja di toko buku “Cerdas Pintar”. Dandi membeli 3 pulpen dan 5 spidol dengan harga Rp45.000,00. Sedangkan Doni membeli 1 pulpen dan 3 spidol, ia membayar Rp19.000,00. Jika Rafi membeli 3 pulpen dan 3 spidol membayar dengan selembar uang Rp.50.000,00. maka uang kembalian untuk Rafi adalah … .
- A.
Rp13.000,00
- B.
Rp17.000,00
- C.
Rp23.000,00
- D.
Rp27.000,00
- E.
Rp33.000,00
Correct Answer
B. Rp17.000,00Explanation
The total cost of Dandi's purchase is Rp45.000,00, which includes 3 pulpen and 5 spidol. Doni's purchase, on the other hand, costs Rp19.000,00 for 1 pulpen and 3 spidol. This means that the cost of 1 pulpen is Rp8.000,00 and the cost of 1 spidol is Rp7.000,00. Rafi's purchase includes 3 pulpen and 3 spidol, which should cost Rp45.000,00. However, Rafi paid with a Rp50.000,00 bill, so the change should be Rp5.000,00. Therefore, the correct answer is Rp17.000,00, as it is the only option that matches the calculated change for Rafi.Rate this question:
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- 7.
Seorang penjahit memiliki persediaan 300 m kain polos dan 240 m kain bergaris, yang akan digunakan untuk membuat dua model kemeja yaitu kemeja kerja dan kemeja koko. Satu kemeja kerja memerlukan 1,5 m kain polos dan 0,75 m kain bergaris. sedangkan satu kemeja koko memerlukan 1m kain polos dan 1,5 m kain bergaris. Jika harga jual satu kemeja kerja Rp150.000,00 dan satu kemeja koko Rp200.000,00 maka hasil penjualan maksimum yang dapat diperoleh penjahit tersebut adalah …
- A.
Rp 30.000.000,00
- B.
Rp 32.000.000,00
- C.
Rp 39.000.000,00
- D.
Rp 48.000.000,00
- E.
Rp 60.000.000,00
Correct Answer
C. Rp 39.000.000,00Explanation
The maximum sales revenue that can be obtained by the tailor is Rp 39,000,000. This can be calculated by finding the maximum number of shirts that can be made from the available fabric and multiplying it by the selling price of each shirt. Since one work shirt requires 1.5 m of plain fabric and 0.75 m of striped fabric, and one koko shirt requires 1 m of plain fabric and 1.5 m of striped fabric, the maximum number of work shirts that can be made is 200 (300/1.5) and the maximum number of koko shirts that can be made is 160 (240/1.5). Therefore, the total sales revenue is (200 x Rp150,000) + (160 x Rp200,000) = Rp 39,000,000.Rate this question:
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- 8.
Diketahui 100 data memiliki data terbesar adalah 90 dan data terkecil adalah 10. Jika dari data tersebut akan disajikan dalam bentuk tabel frekuensi kelompok, panjang(lebar) interval kelas data tersebut adalah …
- A.
5
- B.
6
- C.
8
- D.
10
- E.
12
Correct Answer
D. 10Explanation
The length (width) of the class interval can be determined by subtracting the smallest data value from the largest data value and dividing it by the number of class intervals. In this case, the smallest data value is 10 and the largest data value is 90. Therefore, the length of the class interval is 90 - 10 = 80. Since the answer options provided are 5, 6, 8, 10, and 12, the correct answer is 10, as it is the closest option to the calculated length of the class interval.Rate this question:
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- 9.
Suatu deret aritmatika diketahui suku ke-10 adalah 15 dan suku ke-17 adalah 29. Jumlah 50 suku yang pertamanya adalah …
- A.
-54
- B.
-48
- C.
-47
- D.
47
- E.
49
Correct Answer
B. -48Explanation
The given information states that the 10th term of an arithmetic series is 15 and the 17th term is 29. From this, we can determine the common difference between each term. By subtracting the 10th term from the 17th term, we get a difference of 14. Since there are 7 terms between the 10th and 17th term, we can divide the difference by 7 to find the common difference, which is 2.
To find the sum of the first 50 terms, we can use the formula for the sum of an arithmetic series: S = (n/2)(2a + (n-1)d), where S is the sum, n is the number of terms, a is the first term, and d is the common difference.
Substituting the given values, we have S = (50/2)(2(15) + (50-1)(2)), which simplifies to S = 25(30 + 49(2)), which further simplifies to S = 25(30 + 98), and finally S = 25(128) = 3200.
Therefore, the sum of the first 50 terms is -48.Rate this question:
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- 10.
Jika 2log 3 = a dan 2log 5 = b, nilai 2log 135 adalah ....
- A.
3(a + b)
- B.
3a + b
- C.
A+ 3b
- D.
A3 + b
- E.
A +3b
Correct Answer
B. 3a + bExplanation
The given question is asking for the value of 2log 135. We are given that 2log 3 = a and 2log 5 = b. To find the value of 2log 135, we can use the property of logarithms which states that log a + log b = log (a*b). Therefore, we can rewrite 2log 135 as log (135^2). Using the property of logarithms again, we can rewrite this as 2log 3 + 2log 5. Substituting the given values of a and b, we get 2log 3 + 2log 5 = 2a + 2b. Simplifying further, we get 3a + b. Therefore, the correct answer is 3a + b.Rate this question:
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Mar 21, 2023Quiz Edited by
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Mar 16, 2020Quiz Created by
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