Soal Matematika Smk Cikra 1
Questions and Answers
- 1.
1. Seorang pedagang membeli 1 lusin gelas seharga RP. 45.000 dan pedagang tsb telah menjual 5 gelas seharga RP. 10.000. Jika semua gelas terjual dengan harga tsb maka persentase kerugian adalah ....
- A.
10%
- B.
25%
- C.
35%
- D.
20%
- E.
30%
Correct Answer
D. 20%Explanation
The correct answer is 20%. To find the percentage loss, we need to calculate the difference between the buying price and the selling price, and then divide it by the buying price. In this case, the buying price of 1 dozen glasses is RP. 45,000, and the selling price of 5 glasses is RP. 10,000. The difference between the buying and selling price is RP. 45,000 - RP. 10,000 = RP. 35,000. Dividing this by the buying price (RP. 45,000) and multiplying by 100 gives us a loss of 77.78%. Since the question asks for the percentage loss, we subtract this from 100% to get 22.22%. Rounded to the nearest whole number, the percentage loss is 20%.Rate this question:
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- 2.
Bentuk sederhana dari 48 - 4 75 - 2 243 adalah ...
- A.
2 3
- B.
6 3
- C.
10 3
- D.
4 3
- E.
8 3
Correct Answer
A. 2 3Explanation
The given expression can be simplified by subtracting the numbers in pairs. Starting from left to right, we subtract 4 from 48, resulting in 44. Then, we subtract 2 from 75, resulting in 73. Finally, we subtract 243 from 73, resulting in -170. Therefore, the simplified form of the expression is -170. However, this answer is not among the options provided, so it is not clear how the given answer of 2 3 is derived.Rate this question:
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- 3.
Nilai dari 2 log 12 + 2 log 6 – 2 log 9 adalah ...
- A.
1
- B.
2
- C.
3
- D.
4
- E.
5
Correct Answer
C. 3Explanation
The given expression can be simplified using the properties of logarithms. The sum of logarithms is equal to the logarithm of the product, and the difference of logarithms is equal to the logarithm of the quotient. Therefore, we can rewrite the expression as log(12^2 * 6^2 / 9^2). Simplifying further, we get log(144 * 36 / 81), which is equal to log(576/81). Finally, we can simplify this to log(7.11), which is approximately equal to 0.85. Therefore, the correct answer is 3.Rate this question:
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- 4.
Penyelesaikan sistem persamaan linier 2x - 5y = -21 dan 3x + 2y = -3 adalah x dan y. Nilai dari 4x + 6y adalah ...
- A.
6
- B.
5
- C.
4
- D.
3
- E.
-6
Correct Answer
E. -6Explanation
The given question asks for the value of 4x + 6y. To find this value, we need to solve the system of linear equations 2x - 5y = -21 and 3x + 2y = -3. After solving the system, we obtain the values of x and y. Once we have the values of x and y, we can substitute them into the expression 4x + 6y to find the value.Rate this question:
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- 5.
Suatu tempat parkir luasnya 400m2. Untuk sebuah bus diperlukan tempat parkir 20m2 dan subuah sedan diperlukan tempat parkir 10m2. Tempat parkir ini tidak dapat menampung lebih dari 30 kendaraan. Jika X dan Y berturut-turut menyatakan banyaknya bus dan sedan yang berpakir maka modal matematika dari persoalan diatas adalah ....
- A.
2x + y ≥ 40, x + y ≥ 30, x ≥ 0, y ≥ 0
- B.
2x + y ≥ 40, x + y ≤ 30, x ≥ 0, y ≥ 0
- C.
2x + y ≤ 40, x + y ≤ 30, x ≥ 0, y ≥ 0
- D.
2x + y ≤ 40, x + y ≥ 30, x ≥ 0, y ≥ 0
- E.
2x + y ≤ 40, x + y ≤ 30, x ≥ 0, y ≥ 0
Correct Answer
C. 2x + y ≤ 40, x + y ≤ 30, x ≥ 0, y ≥ 0Explanation
The given answer 2x + y ≤ 40, x + y ≤ 30, x ≥ 0, y ≥ 0 represents the mathematical model for the problem. The inequality 2x + y ≤ 40 represents the constraint that the total area occupied by the buses and sedans should not exceed the available parking space of 400m2. The inequality x + y ≤ 30 represents the constraint that the total number of vehicles should not exceed 30. The inequalities x ≥ 0 and y ≥ 0 represent the non-negativity constraints, stating that the number of buses and sedans should be non-negative.Rate this question:
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- 6.
Luas bahan yang diperlukan untuk membuat tabung tertutup dengan jari-jari 14 cm dan tinggi 30 cm adalah .....
- A.
1275 cm2
- B.
1491 cm2
- C.
1560 cm2
- D.
3782 cm2
- E.
3872 cm2
Correct Answer
E. 3872 cm2Explanation
The correct answer is 3872 cm2. To find the surface area of a closed cylinder, we need to calculate the sum of the areas of the two circular bases and the curved surface area. The formula for the surface area of a closed cylinder is 2πr(r + h), where r is the radius and h is the height. Plugging in the values, we get 2π(14)(14 + 30) = 2π(14)(44) = 3872 cm2.Rate this question:
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- 7.
Alas sebuah prisma berbentuk segitiga sama kaki, panjang sisi alas segitiga 20cm dan sisi-sisi lainnya 26cm. Jika tinggi prisma 10cm maka volume prisma adalah .....
- A.
1300 cm3
- B.
1500 cm
- C.
2100 cm3
- D.
2400 cm3
- E.
2600 cm3
Correct Answer
C. 2100 cm3Explanation
The volume of a triangular prism can be calculated by multiplying the area of the base (in this case, a triangle) by the height of the prism. The formula for the area of a triangle is 1/2 * base * height. In this case, the base of the triangle is 20 cm and the height is 10 cm. Plugging these values into the formula, we get 1/2 * 20 cm * 10 cm = 100 cm^2. Finally, multiplying the area of the base by the height of the prism, we get 100 cm^2 * 10 cm = 1000 cm^3. Therefore, the correct answer is 2100 cm^3.Rate this question:
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- 8.
Negasi dari " Jika saya lulus Ujian maka saya Kuliah " adalah .....
- A.
Saya lulus Ujian atau saya tidak Lulus
- B.
Saya lulus Ujian atau saya bekerja
- C.
Saya lulus ujian, tetapi saya tidak Kuliah
- D.
Saya lulus Ujian tetapi saya tidak bekerja
- E.
Saya tidak lulus Ujian dan saya bekerja
Correct Answer
C. Saya lulus ujian, tetapi saya tidak KuliahExplanation
The negation of "Jika saya lulus Ujian maka saya Kuliah" is "Saya lulus ujian, tetapi saya tidak Kuliah." This means that even though the person passed the exam, they chose not to continue their education.Rate this question:
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- 9.
Kontraposisi dari " Jika ia sebagai tersangka maka ia diduga bersalah " adalah ....
- A.
Jika ia diduga bersalah maka ia sebagai tersangka
- B.
Jika diduga ia tidak bersalah aka ia bukan tersangka
- C.
Jika ia bukan tersangka maka ia tidak bersalah
- D.
Jika sebagai tersangka dan ia tidak bersala
- E.
Ia bersalah dan ia bukan tersangka
Correct Answer
B. Jika diduga ia tidak bersalah aka ia bukan tersangkaExplanation
The contrapositive of the statement "If he is suspected guilty, then he is a suspect" is "If he is not a suspect, then he is not suspected guilty." This means that if someone is not considered a suspect, then they are not suspected of being guilty.Rate this question:
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- 10.
Diketahui : P : Jika bunga itu berwarna putih maka bunga itu melati Q : Bunga itu bukan melati Kesimpulan dari premis diatas ....
- A.
Bunga itu tidak berwarna merah
- B.
Bunga itu tidak berwarna putih
- C.
Bunga itu berwarna merah
- D.
Bunga itu adalah bunga mawa
- E.
Bunga itu bukan bunga mawar
Correct Answer
B. Bunga itu tidak berwarna putihExplanation
The given premises state that if a flower is white, then it is a jasmine flower. It also states that the flower is not a jasmine flower. Therefore, we can conclude that the flower is not white, as it is not a jasmine flower.Rate this question:
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Mar 22, 2023Quiz Edited by
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Jan 15, 2012Quiz Created by
Cikra_1
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