# Soal Latihan Ujian Sekolah Matematika Wajib 2017

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| By Aminhers
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Aminhers
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Quizzes Created: 4 | Total Attempts: 5,643
Questions: 10 | Attempts: 568

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• 1.

### Kubus ABCD.EFGH dengan panjang rusuk 8 cm, titik m adalah perpotongan  diagonal HF dengan EG.  Jarak titik E ke garis AM adalah....

B.
Explanation
The distance from point E to line AM can be found by drawing a perpendicular line from point E to line AM. This perpendicular line will intersect line AM at a point, which we can call point N. The distance from point E to line AM is then the length of line segment EN.

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• 2.

### Pada percobaan lempar undi dua buah dadu sebanyak 324 kali. Frekuensi harapan muncul mata dadu berjumlah lebih dari 5 adalah ….

• A.

234

• B.

243

• C.

244

• D.

324

• E.

432

A. 234
Explanation
In the experiment of rolling two dice 324 times, the expected frequency of getting a total sum of more than 5 is 234. This means that, on average, we can expect to get a sum of more than 5 in approximately 234 out of the 324 trials.

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• 3.

### Rataan hitung dari barisan bilangan 5, 7, 8, x, 6, 9, 10 adalah 9, maka nilai x adalah…

• A.

8

• B.

9

• C.

10

• D.

11

• E.

12

B. 9
Explanation
The given sequence is 5, 7, 8, x, 6, 9, 10. The question states that the average of the sequence is 9. To find the missing value, we can sum up all the numbers in the sequence and divide it by the total number of terms. The sum of the given sequence is 5 + 7 + 8 + x + 6 + 9 + 10 = 45 + x. Since the average is 9, we can set up the equation (45 + x) / 7 = 9. Solving this equation, we get x = 9. Therefore, the missing value is 9.

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• 4.
• A.

25

• B.

25,5

• C.

26

• D.

26,5

• E.

27

D. 26,5
• 5.
• A.

2 meter

• B.

4 meter

• C.

V3 meter

• D.

2V3 meter

• E.

4V3 meter

B. 4 meter
• 6.
• A.

- 7

• B.

- 5

• C.

- 1

• D.

7

• E.

5

C. - 1
• 7.

### Seorang pengusaha memiliki tanah seluas 10.000 m2  yang akan dibangun 2 tipe rumah A dan B. Luas satu rumah tipe A = 100 m2 dan tipe B = 75 m2 . Pengusaha itu hanya akan membangun paling banyak 125 unit rumah. Jika keuntungan sebuah rumah type A adalah Rp.8.000.000,00 dan rumah tipe B adalah Rp.5.000.000,00, maka keuntungan maksimum yang diperoleh adalah ....

• A.

Rp.700.000.000,00

• B.

Rp.750.000.000,00

• C.

Rp.800.000.000,00

• D.

Rp.850.000.000,00

• E.

Rp.900.000.000,00

A. Rp.700.000.000,00
Explanation
The maximum profit that can be obtained can be calculated by multiplying the number of houses of type A with the profit per house of type A and adding it with the number of houses of type B multiplied by the profit per house of type B. In this case, the number of houses of type A is 10000/100 = 100 units and the number of houses of type B is 10000/75 = 133.33 units. Since the maximum number of houses that can be built is 125 units, the number of houses of type B should be limited to 125 - 100 = 25 units. Therefore, the maximum profit is 100 * 8000000 + 25 * 5000000 = Rp.700.000.000,00.

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• 8.

### Harga 2 kg anggur dan 3 kg apel Rp 37.500,00. Harga 1 kg anggur dan 2 kg apel Rp 21.500,00. Vega membeli anggur dan apel masing–masing 2 kg dan membayar Rp 50.000,00. Uang kembalian yang diterima Vega adalah ….

• A.

Rp 20.000,00

• B.

Rp19.000,00

• C.

Rp18.000,00

• D.

Rp17.000,00

• E.

Rp16.000,00

C. Rp18.000,00
Explanation
The given information states that the price of 2 kg of grapes and 3 kg of apples is Rp 37,500, while the price of 1 kg of grapes and 2 kg of apples is Rp 21,500. By subtracting the second price from the first price, we can determine the price of 1 kg of grapes and 1 kg of apples, which is Rp 16,000. Since Vega buys 2 kg of grapes and 2 kg of apples, the total cost would be 2 times Rp 16,000, which is Rp 32,000. Since Vega pays Rp 50,000, the change received would be Rp 50,000 minus Rp 32,000, which equals Rp 18,000.

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• 9.

### Persamaan fungsi kuadrat yang grafiknya memotong sumbu x di titik (2, 0) dan (3, 0) serta melalui titik (0, 12) adalah…

• A.

Y = x2 - 5x + 12

• B.

Y = x2+ 5x + 12

• C.

Y = 2x2 + 10x + 12

• D.

Y = 2x2 - 3x + 12

• E.

Y = 2x2 - 10x + 12

E. Y = 2x2 - 10x + 12
Explanation
The given equation represents a quadratic function. The graph of this function intersects the x-axis at the points (2, 0) and (3, 0), which means that the function has roots at x = 2 and x = 3. Additionally, the function passes through the point (0, 12). By comparing the given equation with the standard form of a quadratic function, y = ax^2 + bx + c, we can see that the coefficients match the given values. Therefore, the correct equation that satisfies all the given conditions is y = 2x^2 - 10x + 12.

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• 10.

### Akar-akar persamaan kuadrat x2 – 10x + 24 = 0 adalah x1 dan x2.  Jika x1 > x2, maka nilai dari: x1 + 2x2 = ....

• A.

2

• B.

8

• C.

14

• D.

16

• E.

18

C. 14
Explanation
The equation x2 – 10x + 24 = 0 can be factored as (x-4)(x-6) = 0. Therefore, the roots of the equation are x1 = 4 and x2 = 6. Since x1 is greater than x2, we can substitute these values into the expression x1 + 2x2 to find the value. Thus, 4 + 2(6) = 4 + 12 = 16.

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• Current Version
• Mar 22, 2023
Quiz Edited by
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• Mar 03, 2017
Quiz Created by
Aminhers