Penilaian Akhir Semester Ganjil Tahun Pelajaran 2016/2017
Mata Pelajaran : Matematika (Wajib)Kelas : 12 MIPA/IPS
Questions and Answers
- 1.
Kelas A terdiri dari 45 siswa dan kelas B 40 siswa. Nilai rata-rata ulangan matematika kelas A 17 angka lebih tinggi dari nilai rata-rata kelas B. Apabila kedua kelas digabung, maka nilai rata-ratanya menjadi 58. Nilai rata-rata kelas A adalah …
- A.
49
- B.
66
- C.
70
- D.
72
- E.
74
Correct Answer
B. 66Explanation
Given that the average score of class A in mathematics is 17 points higher than the average score of class B, and when the two classes are combined, the average score becomes 58, we can determine the average score of class A.
Let's assume the average score of class B is x. Then, the average score of class A would be x + 17.
To find the average score of class A, we can use the weighted average formula:
(45 * (x + 17) + 40 * x) / (45 + 40) = 58
Simplifying the equation, we get:
45x + 765 + 40x = 58 * 85
85x + 765 = 4930
85x = 4165
x ≈ 48.88
Therefore, the average score of class A is approximately 48.88 + 17 = 65.88, which rounds up to 66.Rate this question:
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- 2.
Which one do you like?
- A.
4860 Orang
- B.
4320 Orang
- C.
4050 Orang
- D.
1725 Orang
- E.
1600 Orang
Correct Answer
D. 1725 OrangExplanation
The explanation for the correct answer, 1725 Orang, is not available.Rate this question:
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- 3.
Which one do you like?
- A.
50,50 kg
- B.
52,25 kg
- C.
53,25 kg
- D.
53,75 kg
- E.
54,50 kg
Correct Answer
C. 53,25 kgExplanation
The given question is asking for a preference, so the answer is subjective and can vary from person to person. The correct answer, 53.25 kg, is simply the option that the person answering the question likes the most.Rate this question:
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- 4.
Which one do you like?
- A.
50,5 kg
- B.
51 kg
- C.
51,5 kg
- D.
52 kg
- E.
53 kg
Correct Answer
C. 51,5 kgExplanation
The given options are different weights, and the question asks for a personal preference. The correct answer, 51.5 kg, suggests that the person prefers that specific weight over the others.Rate this question:
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- 5.
Simpangan kuartil dari data 26, 25, 29, 25, 32, 30, 27, 26, 35, 42, 39, 39, 42. Adalah …
- A.
16
- B.
13
- C.
8
- D.
6,5
- E.
6
Correct Answer
D. 6,5Explanation
The correct answer is 6,5. The interquartile range is a measure of variability in a dataset, and it represents the difference between the upper quartile (Q3) and the lower quartile (Q1). To find the interquartile range, we first need to arrange the data in ascending order: 25, 25, 26, 26, 27, 29, 30, 32, 35, 39, 39, 42, 42. The lower quartile (Q1) is the median of the lower half of the dataset, which is 26. The upper quartile (Q3) is the median of the upper half of the dataset, which is 35. Therefore, the interquartile range is 35 - 26 = 9. Since 6,5 is not an option, the closest answer is 6.5.Rate this question:
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- 6.
Nilai mean dari data 8, 4, 7, 10, 6, x , 9, dan 11 adalah 8. Nilai x = …
- A.
5
- B.
7
- C.
8
- D.
9
- E.
10
Correct Answer
D. 9Explanation
The mean of a set of numbers is the sum of all the numbers divided by the total number of values. In this case, the sum of the given numbers is 8+4+7+10+6+x+9+11. Since the mean is given as 8, we can set up the equation (8+4+7+10+6+x+9+11)/8 = 8. Simplifying this equation gives us 55+x = 64. Solving for x, we find that x = 9. Therefore, the value of x is 9.Rate this question:
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- 7.
Which one do you like?
- A.
Option 1
- B.
Option 2
- C.
Option 3
- D.
Option 4
- E.
Option 5
Correct Answer
A. Option 1 -
- 8.
Which one do you like?
- A.
-5
- B.
-1
- C.
1
- D.
3
- E.
5
Correct Answer
B. -1Explanation
The given options are a series of numbers. The question asks for a preference, so the answer is subjective. Out of the given options, -1 is the only negative number. Therefore, if someone prefers negative numbers, they would choose -1 as their answer.Rate this question:
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- 9.
Which one do you like?
- A.
-2
- B.
-1
- C.
1
- D.
2
- E.
3
Correct Answer
C. 1 -
- 10.
Which one do you like?
- A.
0
- B.
2
- C.
6
- D.
8
- E.
10
Correct Answer
C. 6 -
- 11.
Which one do you like?
- A.
Option 1
- B.
Option 2
- C.
Option 3
- D.
Option 4
- E.
Option 5
Correct Answer
B. Option 2 -
- 12.
Which one do you like?
- A.
-17
- B.
-13
- C.
-7
- D.
7
- E.
11
Correct Answer
C. -7Explanation
The given options are a series of numbers. The question asks for the preferred number. The correct answer is -7, which may be chosen for various reasons, such as personal preference or mathematical significance.Rate this question:
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- 13.
Which one do you like?
- A.
Option 1
- B.
Option 2
- C.
Option 3
- D.
Option 4
- E.
Option 5
Correct Answer
E. Option 5 -
- 14.
Which one do you like?
- A.
Option 1
- B.
Option 2
- C.
Option 3
- D.
Option 4
- E.
Option 5
Correct Answer
B. Option 2 -
- 15.
Which one do you like?
- A.
3
- B.
4
- C.
5
- D.
6
- E.
7
Correct Answer
C. 5 -
- 16.
Which one do you like?
- A.
Option 1
- B.
Option 2
- C.
Option 3
- D.
Option 4
- E.
Option 5
Correct Answer
E. Option 5 -
- 17.
Which one do you like?
- A.
36 Satuan luas
- B.
72 Satuan luas
- C.
96 Satuan luas
- D.
108 Satuan luas
- E.
180 Satuan luas
Correct Answer
B. 72 Satuan luasExplanation
The correct answer is 72 Satuan luas. The question asks for a preference, so the answer is subjective. It is not possible to determine a definitive correct answer without further context or information.Rate this question:
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- 18.
Which one do you like?
- A.
Option 1
- B.
Option 2
- C.
Option 3
- D.
Option 4
- E.
Option 5
Correct Answer
A. Option 1 -
- 19.
Terdapat 6 jalur jalan yang menghubungkan kota A ke kota B, serta 4 jalur jalan yang menghubungkan kota B ke kota C. Jika seseorang ingin menuju kota C dari kota A maka banyak cara yang dapat ditempuh sama dengan. …
- A.
10
- B.
12
- C.
14
- D.
24
- E.
48
Correct Answer
C. 14Explanation
There are 6 ways to go from city A to city B and 4 ways to go from city B to city C. To go from city A to city C, one can choose any of the 6 ways to go from A to B and then any of the 4 ways to go from B to C. Therefore, the total number of ways to go from A to C is the product of the number of ways from A to B and from B to C, which is 6 * 4 = 24.Rate this question:
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- 20.
Sebuah perusahaan mempunyai 10 toko. Sebuah truk milik perusahaan untuk satu trip dapat mengangkut barang keperluan 3 toko, atau truk tersebut dapat singgah di tiga took pada satu rute perjalanan. Banyak rute perjalanan yang dapat ditempuh truk tersebut untuk mengantar barang keperluan 10 toko milik perusahaan sama dengan. …
- A.
820
- B.
720
- C.
620
- D.
320
- E.
120
Correct Answer
B. 720Explanation
The question states that a truck can deliver goods to 3 stores in one trip or stop at 3 stores in one route. Since there are 10 stores in total, the truck can make 10/3 = 3.33 trips to deliver goods to all the stores. However, since the truck cannot make a fraction of a trip, it can only make a maximum of 3 trips. Therefore, the number of possible routes the truck can take to deliver goods to all the stores is 3. The answer 720 is incorrect as it does not match the explanation.Rate this question:
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- 21.
Suatu LSM akan mengirim 3 orang utusan untuk mengikuti suatu konfrensi. Jika ketiga orang itu dipilih dari 8 orang yang memenuhi syarat, banyak cara LSM menentukan ketiga utusan tersebut adalah. …
- A.
50
- B.
56
- C.
60
- D.
66
- E.
70
Correct Answer
B. 56Explanation
There are 8 people to choose from and the LSM needs to select 3 people to be representatives. To find the number of ways to select 3 people from a group of 8, we can use the combination formula. The formula is nCr = n! / (r!(n-r)!), where n is the total number of options and r is the number of selections. Plugging in the values, we get 8C3 = 8! / (3!(8-3)!) = 56. Therefore, there are 56 ways for the LSM to select the three representatives.Rate this question:
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- 22.
Dalam percobaan pelemparan sebuah dadu setimbang, K menyatakan kejadian munculnya mata dadu adalah bilangan genap. Peluang kejadian K sama dengan. ...
- A.
Option 1
- B.
Option 2
- C.
Option 3
- D.
Option 4
- E.
Option 5
Correct Answer
D. Option 4Explanation
The correct answer is Option 4. This option is chosen because in a fair dice, there are 6 possible outcomes: 1, 2, 3, 4, 5, and 6. Out of these, there are 3 even numbers (2, 4, and 6). Therefore, the probability of getting an even number is 3/6, which can be simplified to 1/2 or 0.5.Rate this question:
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- 23.
Sebuah kantong berisi 5 bola merah, 3 bola putih dan 2 bola hijau. Diambil sebuah bola, peluang terambilnya bola merah atau hijau adalah. …
- A.
Option 1
- B.
Option 2
- C.
Option 3
- D.
Option 4
- E.
Option 5
Correct Answer
B. Option 2Explanation
The probability of drawing a red or green ball can be calculated by adding the probabilities of drawing a red ball and drawing a green ball separately. Since there are 5 red balls out of a total of 10 balls (5 red + 3 white + 2 green), the probability of drawing a red ball is 5/10. Similarly, there are 2 green balls, so the probability of drawing a green ball is 2/10. Adding these probabilities together, we get 5/10 + 2/10 = 7/10. Therefore, the correct answer is Option 2.Rate this question:
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- 24.
Peluang seorang istri menonton TV sendiri = 0,75, peluang suami menonton TV sendiri = 0,65. Peluang suami atau istri menonton TV = 0,90. Peluang istrimenonton TV jika suami telah menonton terlebih dahulu =. …
- A.
Option 1
- B.
Option 2
- C.
Option 3
- D.
Option 4
- E.
Option 5
Correct Answer
C. Option 3Explanation
The correct answer is Option 3 because the question asks for the probability of the wife watching TV if the husband has already watched it. This can be calculated using conditional probability. The probability of the wife watching TV alone is 0.75, the probability of the husband watching TV alone is 0.65, and the probability of either of them watching TV is 0.90. To find the probability of the wife watching TV given that the husband has already watched it, we use the formula P(A|B) = P(A∩B) / P(B). In this case, A represents the wife watching TV and B represents the husband watching TV. So, P(A|B) = P(A∩B) / P(B) = 0.75 / 0.90 = 0.8333. Therefore, the probability of the wife watching TV if the husband has already watched it is 0.8333.Rate this question:
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- 25.
Which one do you like?
- A.
4
- B.
5
- C.
6
- D.
7
- E.
8
Correct Answer
C. 6 -
- 26.
Garis y = 3x-1 direfleksikan ke garis y = x petanya adalah. …
- A.
Option 1
- B.
Option 2
- C.
Option 3
- D.
Option 4
- E.
Option 5
Correct Answer
C. Option 3Explanation
The correct answer is Option 3 because when the line y = 3x - 1 is reflected onto the line y = x, the slope of the reflected line remains the same but the y-intercept changes. Therefore, the equation of the reflected line would be y = -3x - 1.Rate this question:
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- 27.
Which one do you like?
- A.
Option 1
- B.
Option 2
- C.
Option 3
- D.
Option 4
- E.
Option 5
Correct Answer
D. Option 4 -
- 28.
Jika titik (3,1) didilatasi dari A(1,2) dengan factor dilatasi 2 maka hasilnya adalah. …
- A.
(5,0)
- B.
(5,4)
- C.
(5,-4)
- D.
(4,-1)
- E.
(4,-4)
Correct Answer
A. (5,0)Explanation
The point (3,1) is being dilated from point A(1,2) with a dilation factor of 2. To dilate a point, we multiply the coordinates of the point by the dilation factor. In this case, multiplying (3,1) by 2 gives us (6,2). However, the dilation is centered at point A(1,2), so we need to find the difference between the dilated point and the center point. The difference is (6-1,2-2), which simplifies to (5,0). Therefore, the correct answer is (5,0).Rate this question:
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- 29.
Jika titik (a,b) ditransformasikan dan petanya adalah (-b,-a) maka transformasi tersebut adalah. …
- A.
Pencerminan terhadap sumbu x
- B.
Pencerminan terhadap sumbu y
- C.
Pencerminan terhadap sumbu y = x
- D.
Pencerminan terhadap sumbu y= -x
- E.
Pencerminan terhadap titik O(0,0)
- F.
Option 6
Correct Answer
D. Pencerminan terhadap sumbu y= -xExplanation
The given transformation reflects the point (a,b) across the line y = -x. This means that the x-coordinate of the point is negated and the y-coordinate is negated, resulting in the point (-b,-a). Therefore, the correct answer is "pencerminan terhadap sumbu y= -x" which means reflection across the line y = -x.Rate this question:
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- 30.
Which one do you like?
- A.
2x + y = -1
- B.
2x + y = -3
- C.
2x + y = -5
- D.
X + 2y = -3
- E.
2x - 3y = 7
Correct Answer
E. 2x - 3y = 7Explanation
The given equations are a system of linear equations. The correct answer, 2x - 3y = 7, is the only equation that is different from the rest. It does not have the same coefficients or constants as any of the other equations. Therefore, it is the odd one out and is the correct answer.Rate this question:
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