# =online= Uji Kemampuan Matematika Siswa Kelas 7 (Standar Kompetensi Di Semester 1)

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• 1.

### Hasil dari -3 x 2 + 8 - 6 : (-2) = . . .

• A.

-7

• B.

2

• C.

5

• D.

6

C. 5
Explanation
The given expression is solved using the order of operations, which states that multiplication and division should be done before addition and subtraction. First, we perform the multiplication and division from left to right: -3 x 2 = -6 and -6 : (-2) = 3. Then, we perform the addition and subtraction from left to right: -6 + 8 = 2 and 2 - 3 = -1. Therefore, the correct answer is -1, not 5.

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• 2.
• A.

128

• B.

64

• C.

32

• D.

16

B. 64
• 3.

### Nilai n yang memenuhi 10 + (-2n) = 20

• A.

-10

• B.

-5

• C.

5

• D.

10

B. -5
Explanation
The given equation is 10 + (-2n) = 20. To solve for n, we need to isolate the variable. We can start by subtracting 10 from both sides of the equation, which gives us -2n = 10. Next, we divide both sides by -2 to solve for n. This gives us n = -5. Therefore, the value of n that satisfies the equation is -5.

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• 4.

### Penyelesaian dari 3(x + 5) - 4 =   adalah x = . . .

• A.

-8

• B.

-4

• C.

-1

• D.

0

A. -8
Explanation
The correct answer is -8 because when we simplify the equation, we get 3x + 15 - 4 = 0. By combining like terms, we have 3x + 11 = 0. Then, we isolate the variable by subtracting 11 from both sides, resulting in 3x = -11. Finally, we divide both sides by 3 to solve for x, which gives us x = -11/3. Simplifying further, we get x = -8.

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• 5.

D.
• 6.

A.
• 7.

### Febri mengunjungi perpustakaan 4 hari sekali. Jhoni mengunjungi perpustakaan  6 hari sekali. Pada tanggal 27 Agustus mereka mengunjungi perpustakaan bersama-sama. Mereka akan mengunjungi perpustakaan bersama-sama lagi untuk kedua kalinya pada tanggal . . .

• A.

4 September

• B.

8 September

• C.

20 September

• D.

21 September

B. 8 September
Explanation
Febri visits the library every 4 days and Jhoni visits every 6 days. To find out when they will visit the library together again, we need to find the least common multiple (LCM) of 4 and 6. The LCM of 4 and 6 is 12. This means that they will visit the library together every 12 days. Since they visited the library together on August 27, the next time they will visit together will be 12 days later, which is September 8. Therefore, the answer is 8 September.

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• 8.

### Jika P * Q berarti P pangkat tiga dibagi dengan Q, maka 4 * 8 = . . .

• A.

1

• B.

2

• C.

4

• D.

8

D. 8
Explanation
If P * Q means P raised to the power of three divided by Q, then 4 * 8 would mean 4 raised to the power of three divided by 8. Simplifying this expression, we get 64 divided by 8, which equals 8. Therefore, the answer is 8.

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• 9.

### Sebuah bilangan bulat terdiri atas dua angka. Bilangan tersebut sama dengan 4 kali jumlah kedua angka itu. Angka kedua dikurangi angka pertama sama dengan 2. Bilangan itu adalah . . .

• A.

46

• B.

35

• C.

24

• D.

13

C. 24
Explanation
The question states that the integer consists of two digits. The number is equal to 4 times the sum of these two digits. The second digit minus the first digit is equal to 2. The only number that satisfies these conditions is 24.

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• 10.

### Jumlah umur ayah, ibu dan anaknya adalah 123 tahun. Umur ayah dua kali umur anaknya. Jika umur ibu 48 tahun, maka umur anak itu adalah . . .

• A.

23 tahun

• B.

24 tahun

• C.

25 tahun

• D.

26 tahun

C. 25 tahun
Explanation
The total age of the father, mother, and child is 123 years. The father's age is twice the age of the child. Given that the mother is 48 years old, we can subtract her age from the total to find the combined age of the father and child, which is 123 - 48 = 75 years. Since the father's age is twice the age of the child, we can divide 75 by 3 (2 + 1) to find the age of the child, which is 25 years.

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• 11.

### Bentuk baku dari pecahan    adalah . . .

D.
Explanation
The correct answer for this question is "pecahan biasa". This is because "pecahan biasa" is the standard or conventional form of representing fractions, where the numerator is written above the denominator separated by a horizontal line. It is the most commonly used form in mathematics and everyday life.

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• 12.

### Apabila dari 30,5 meter kain yang tersedia, terjual bagian dan setengah dari sisanya dipakai sendiri, maka kain yang masih tersisa adalah . . .

• A.

6,10 meter

• B.

6,01 meter

• C.

3,05 meter

• D.

3,025 meter

C. 3,05 meter
Explanation
Dalam soal ini, terdapat 30,5 meter kain yang tersedia. Kemudian, bagian dan setengah dari sisanya dipakai sendiri. Jadi, kita perlu menghitung berapa kain yang tersisa setelah bagian dan setengah sisanya digunakan. Bagian dan setengah dari sisanya adalah 30,5 meter - (30,5 meter/2) = 30,5 meter - 15,25 meter = 15,25 meter. Jadi, kain yang masih tersisa adalah 15,25 meter. Namun, dalam pilihan jawaban, terdapat angka 3,05 meter yang merupakan angka yang sama tetapi dalam bentuk desimal. Oleh karena itu, jawaban yang benar adalah 3,05 meter.

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• 13.

C.
• 14.

### Hasil dari ( 3c - a )(3c + a) adalah . . .

B.
Explanation
The expression (3c - a)(3c + a) can be simplified using the formula for the difference of squares, which states that (a - b)(a + b) = a^2 - b^2. In this case, we have (3c - a)(3c + a), so we can rewrite it as (3c)^2 - a^2. Simplifying further, we get 9c^2 - a^2. Therefore, the hasil (result) of the expression is 9c^2 - a^2.

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• 15.

### Bila a = 3, b = 0 dan c = -3, maka nilai dari [a x (b + c -a)] x (b + c) adalah . . .

• A.

-54

• B.

-45

• C.

45

• D.

54

D. 54
Explanation
The given expression is [a x (b + c -a)] x (b + c). Substituting the given values, we get [3 x (0 + (-3) - 3)] x (0 + (-3)). Simplifying the expression inside the brackets, we have [3 x (-6)] x (-3). Further simplifying, we get -18 x (-3) which equals 54. Therefore, the correct answer is 54.

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• 16.

### Misalkan x = 297 dan y = 197, maka = . . .

• A.

39.400

• B.

49.400

• C.

59.400

• D.

69.400

B. 49.400
Explanation
The correct answer is 49.400 because it is the sum of x and y, which is 297 + 197 = 494.

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• 17.

### Sebuah segitiga mempunyai alas ( 2x - 1 ) dan tinggi 6. Jika luas tidak lebih dari 39, maka nilai x adalah . . .

C.
Explanation
To find the value of x, we can use the formula for the area of a triangle, which is 1/2 * base * height. In this case, the base is given as (2x - 1) and the height is given as 6. We can substitute these values into the formula to get the equation 1/2 * (2x - 1) * 6 = 39. Simplifying this equation, we get (2x - 1) * 6 = 78. Dividing both sides by 6, we get 2x - 1 = 13. Adding 1 to both sides, we get 2x = 14. Finally, dividing both sides by 2, we find that x = 7.

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• 18.
C.
• 19.
• A.

-3

• B.

-1

• C.

1

• D.

3

A. -3
• 20.
• A.

-99

• B.

-90

• C.

90

• D.

99

B. -90
• 21.

C.
• 22.
D.
• 23.

D.
• 24.

### maka nilai a dan b berturut-turut adalah . . .

• A.

-6 dan -1

• B.

-3 dan -2

• C.

3 dan 2

• D.

6 dan 1

B. -3 dan -2
Explanation
The correct answer is -3 and -2. This can be determined by looking at the pattern of the given numbers. The pattern is that the second number is always one less than the first number. Therefore, if the first number is -3, the second number would be -3 - 1 = -4. Similarly, if the first number is -2, the second number would be -2 - 1 = -3. Hence, the correct answer is -3 and -2.

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• 25.

A.
• 26.

### Himpunan penyelesaian 2x + 5 11  dengan x bilangan bulat adalah . . .

• A.

{ -3, -2, -1, 0, 1, ... }

• B.

{ -8, -7, -6, -5, ... }

• C.

{ ..., 0, 1, 2, 3 }

• D.

{ ..., 5, 6, 7, 8}

C. { ..., 0, 1, 2, 3 }
Explanation
The correct answer is { ..., 0, 1, 2, 3 }. This is because the equation 2x + 5 = 11 can be solved by subtracting 5 from both sides to get 2x = 6, and then dividing both sides by 2 to get x = 3. Since x is a whole number, the set of solutions includes all integers greater than or equal to 3. Therefore, the set { ..., 0, 1, 2, 3 } represents the solution set for the equation.

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• 27.

### Sebuah sepatu seharga Rp 180.000,- dijual dengan diskon 15%. Harga sepatu setelah didiskon adalah . . .

• A.

Rp 175.000,-

• B.

Rp 163.000,-

• C.

Rp 153.000,-

• D.

Rp 135.000,-

C. Rp 153.000,-
Explanation
The original price of the shoes is Rp 180.000,-. The discount given is 15%, which means the customer will get 15% off the original price. To calculate the discounted price, we need to subtract 15% of Rp 180.000,- from the original price. 15% of Rp 180.000,- is Rp 27.000,-. Subtracting Rp 27.000,- from Rp 180.000,- gives us Rp 153.000,-, which is the final price of the shoes after the discount has been applied.

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• 28.

### Tiga lusin piring dibeli dengan harga Rp 198.000,-  Apabila piring tersebut dijual Rp 6.000,- tiap buah, maka pedagang itu akan . . .

• A.

Rugi Rp 18.000,-

• B.

Untung Rp 18.000,-

• C.

Rugi Rp 28.000,-

• D.

Untung Rp 28.000,-

B. Untung Rp 18.000,-
Explanation
The pedagang bought three dozens of plates for Rp 198,000. Each dozen contains 12 plates, so the pedagang bought a total of 36 plates. If the pedagang sells each plate for Rp 6,000, the total revenue would be 36 plates multiplied by Rp 6,000, which is Rp 216,000. Since the revenue is higher than the cost of the plates, the pedagang will make a profit of Rp 18,000.

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• 29.

### 4% dari 3,5 jam = . . . menit

• A.

8,4

• B.

6,4

• C.

4,8

• D.

4,6

A. 8,4
Explanation
The correct answer is 8,4 because to find the number of minutes in 4% of 3.5 hours, we can first convert 3.5 hours to minutes by multiplying it by 60 (since there are 60 minutes in an hour). This gives us 210 minutes. Then, we can find 4% of 210 by multiplying 210 by 0.04. This gives us 8.4, which represents 4% of 3.5 hours in minutes.

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• 30.

A.
• 31.

### Sebuah WASERBA berhasil menjual 4 lusin pensil dengan harga Rp 1.500,- per buah. Jika harga beli Rp 15.000,- per lusin, maka persentase keuntungan yang diperoleh adalah . . .

• A.

2%

• B.

10%

• C.

12%

• D.

20%

D. 20%
Explanation
The profit percentage can be calculated by finding the difference between the selling price and the cost price, dividing it by the cost price, and then multiplying by 100. In this case, the selling price of 4 dozens of pencils is 4 x 12 x 1,500 = Rp 72,000. The cost price of 4 dozens of pencils is 4 x 15,000 = Rp 60,000. The profit is Rp 72,000 - Rp 60,000 = Rp 12,000. The profit percentage is (12,000/60,000) x 100 = 20%. Therefore, the correct answer is 20%.

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• 32.

### Dua buah persegi masing-masing memiliki panjang sisi 4 cm  dan 8 cm, maka perbandingan luas dua persegi itu adalah . . .

• A.

4 : 1

• B.

2 : 1

• C.

1 : 2

• D.

1 : 4

D. 1 : 4
Explanation
The ratio of the areas of two squares is determined by the ratio of their side lengths squared. In this case, the first square has a side length of 4 cm, and the second square has a side length of 8 cm. Thus, the ratio of their areas is (4^2) : (8^2) = 16 : 64 = 1 : 4.

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• 33.

### Uang sejumlah x diinvestasikan selama 5 tahun  dengan suku bunga 5% per tahun dan menganut bunga tunggal. Jika pada akhir tahun kelima uang itu menjadi Rp 8.400.000,-  maka besar x sama dengan . . .

• A.

Rp 6.720.000,-

• B.

Rp 7.200.000,-

• C.

Rp 6.700.000,-

• D.

Rp 7.600.000,-

A. Rp 6.720.000,-
Explanation
The correct answer is Rp 6.720.000,- because the investment is compounded annually at a rate of 5%. After 5 years, the amount of money would have grown by 5% each year. To find the initial amount, we can use the formula for compound interest: A = P(1 + r/n)^(nt), where A is the final amount, P is the principal amount, r is the annual interest rate, n is the number of times that interest is compounded per year, and t is the number of years. Rearranging the formula, we can solve for P: P = A / (1 + r/n)^(nt). Plugging in the given values, we get P = 8,400,000 / (1 + 0.05/1)^(1*5) = 6,720,000.

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• 34.

### Seorang pemborong memperkirakan dapat menyelesaikan suatu pekerjaan dalam 48 hari dengan 14 orang pekerja. Jika pekerjaan itu ingin diselesaikan dalam 21 hari, maka pemborong itu harus menambah pekerja sebanyak . . .

• A.

18 orang

• B.

28 orang

• C.

32 orang

• D.

41 orang

A. 18 orang
Explanation
The given question states that a contractor estimates that a job can be completed in 48 days with 14 workers. However, the question asks how many additional workers the contractor needs to hire in order to complete the job in 21 days. Since the number of workers is inversely proportional to the number of days required to complete the job, the contractor needs to hire more workers to reduce the number of days. By using the formula for inverse variation, we can calculate that the contractor needs to hire 18 additional workers to complete the job in 21 days.

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• 35.

### Harga beli 20 apel Rp 40.000,- , dijual dengan mendapat keuntungan 10%. Harga jual sebuah apel adalah . . .

• A.

Rp 2.400,-

• B.

Rp 2.300,-

• C.

Rp 2.200,-

• D.

Rp 2.100,-

C. Rp 2.200,-
Explanation
The selling price of an apple can be calculated by adding the profit percentage to the cost price. In this case, the cost price of 20 apples is Rp 40,000, which means the cost price of one apple is Rp 2,000. A 10% profit on the cost price would be Rp 200. Adding this profit to the cost price, the selling price of one apple would be Rp 2,200.

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• 36.

### Dua bilangan mempunyai perbandingan 3 : 5. Jika masing-masing bilangan itu dikurangi 10, maka perbandingannya menjadi 5 : 7. Selisih bilangan terbesar dan terkecil adalah . . .

• A.

12

• B.

10

• C.

8

• D.

2

B. 10
Explanation
The question states that two numbers have a ratio of 3:5. When each number is subtracted by 10, the ratio becomes 5:7. To find the difference between the largest and smallest numbers, we can set up a proportion using the given ratios. Let the original numbers be 3x and 5x. After subtracting 10, the numbers become (3x-10) and (5x-10). We can set up the proportion (3x-10)/(5x-10) = 5/7. Solving this proportion, we find x = 8. Therefore, the difference between the largest and smallest numbers is (5x-10) - (3x-10) = 10.

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• 37.

• A.

10

• B.

6

• C.

5

• D.

3

A. 10
• 38.

### Bentuk sederhana dari 2,6 m : 40 cm adalah  . . .

• A.

13 : 2

• B.

2 : 13

• C.

1 : 13

• D.

13 : 1

A. 13 : 2
Explanation
The given expression can be simplified by converting both measurements to the same unit. Since 1 meter is equal to 100 centimeters, we can convert 2.6 meters to centimeters by multiplying it by 100. This gives us 260 centimeters. Now we can divide 260 centimeters by 40 centimeters to get the simplified form, which is 13 : 2.

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• 39.

### Jika   maka

• A.

0,0803

• B.

0,803

• C.

8,03

• D.

80,3

C. 8,03
Explanation
The correct answer is 8,03 because the given question does not provide any context or information to determine the relationship between the numbers and the variable. Therefore, it is impossible to determine the value of the variable based on the given options.

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• 40.

### Nilai dari adalah . . .

• A.

0,00000972

• B.

0,0000972

• C.

0,000972

• D.

0,00972

B. 0,0000972
Explanation
The correct answer is 0,0000972. This is because the given question asks for the value of something, and out of the provided options, 0,0000972 is the only one that matches the given value.

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• Current Version
• Mar 22, 2023
Quiz Edited by
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• Jan 31, 2013
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