Soal Matematika Kelas 9 TO UN

2.

Suatu pekerjaan apabila dilakukan oleh 6 orang dapat diselesaikan dalam 6 hari. Apabila pekerja ditambah 3 orang, maka pekerjaan tersebut dapat selesai dalam waktu….

4 hari
6 hari
9 hari
12 hari

Correct Answer

A. 4 hari

Explanation

If a task can be completed by 6 people in 6 days, it means that each person takes 6 days to complete the task individually. If the number of workers is increased by 3, the total number of workers becomes 9. Since the task can still be completed in the same amount of time, it means that each person's workload is reduced. Therefore, the task can be completed in 4 days with 9 workers.

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7

3.

Bu Nani menabung uang Rp3.000.000,00. Setelah 10 bulan, uang Bu Nani dalam tabungan menjadi Rp. 3.500.000,00. Bunga yang akan diperoleh Bu Nani jika uang tersebut disimpan selama setahun adalah ….

Rp 300.000,00
Rp 600.000,00
Rp 750.000,00
Rp 900.000,00

Correct Answer

A. Rp 600.000,00

Explanation

The correct answer is Rp 600.000,00. This is because the interest earned on the savings can be calculated by subtracting the initial amount from the final amount. In this case, the initial amount is Rp 3.000.000,00 and the final amount is Rp 3.500.000,00. Thus, the interest earned is Rp 3.500.000,00 - Rp 3.000.000,00 = Rp 500.000,00. Since the interest is earned over a period of 10 months, the interest for a year can be calculated by dividing the interest earned by 10 and then multiplying it by 12. Therefore, the interest for a year is (Rp 500.000,00/10) x 12 = Rp 600.000,00.

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6

4.

Dedi menabung uang sebesar Rp1.800.000,00 di Bank Kota Impian. Jumlah tabungan Dedi setelah 6 bulan menjadi sebesar Rp2.091.600,00. Bunga tabungan pertahun di bank tersebut adalah ….

0,3% perbulan
0,6% perbulan
2,7% perbulan
3% perbulan

Correct Answer

A. 2,7% perbulan

Explanation

Dedi's savings increased from Rp1,800,000 to Rp2,091,600 in 6 months. To find the interest rate per month, we can use the compound interest formula: A = P(1 + r/n)^(nt), where A is the final amount, P is the principal amount, r is the interest rate, n is the number of times interest is compounded per year, and t is the time in years. In this case, P = Rp1,800,000, A = Rp2,091,600, t = 6/12 = 0.5 years, and n = 12 (compounded monthly). By substituting these values into the formula and solving for r, we find that the interest rate per month is approximately 2.7%.

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5

5.

Diketahui barisan bilangan 20, 17, 14, 11, …. Suku ke-17 dari barisan bilangan tersebut adalah ….

-68
-28
28
68

Correct Answer

A. -28

Explanation

The given sequence follows a pattern where each term is obtained by subtracting 3 from the previous term. Starting with 20, we subtract 3 each time to get the next term: 20, 17, 14, 11, and so on. To find the 17th term, we continue subtracting 3 from the previous term 16 times: 11 - 3 - 3 - 3 - 3 - 3 - 3 - 3 - 3 - 3 - 3 - 3 - 3 - 3 - 3 - 3 - 3 = -28. Therefore, the 17th term of the sequence is -28.

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7

6.

Dari 150 siswa kelas IX SMP Impian, 90 siswa senang sepakbola, 87 siswa senang basket, dan 60 siswa senang keduanya. Banyak siswa yang tidak senang sepakbola maupun basket adalah ….

26 orang
33 orang
36 orang
117 orang

Correct Answer

A. 33 orang

Explanation

Based on the given information, there are 90 students who like football, 87 students who like basketball, and 60 students who like both. To find the number of students who do not like football or basketball, we need to subtract the number of students who like both from the total number of students who like football or basketball.

The total number of students who like football or basketball is calculated by adding the number of students who like football (90) and the number of students who like basketball (87), which equals 177.

Subtracting the number of students who like both (60) from the total number of students who like football or basketball (177) gives us the number of students who do not like football or basketball, which is 117.

Therefore, the correct answer is 117 orang.

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7.

Diketahui himpunan pasangan berurutan sebagai berikut.(1) {(7, x), (8, x), (9, x), (10, x) }(2) {(1, m), (2, m), (3, n), (4, n) }(3) {(5, p), (5, q), (5, r), (5, s) }(4) {1, t), (2, u), (1, v), (2, w) }Pasangan berurutan yang merupakan fungsi adalah ….

(1) dan (2)
(1) dan (3)
(2) dan (3)
(2) dan (4)

Correct Answer

A. (1) dan (2)

Explanation

The pairs in (1) and (2) are functions because each input value is paired with a unique output value. In (1), the input values are 7, 8, 9, and 10, and the output value is x. In (2), the input values are 1, 2, 3, and 4, and the output values are m and n. In both cases, there is a one-to-one correspondence between the input and output values, satisfying the definition of a function. Therefore, the correct answer is (1) and (2).

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3

8.

Rumus sebuah fungsi adalah f (x) = 5x-3.Jika diketahui nilai f (c)=2, maka nilai c adalah ....

-2
-1
1
2

Correct Answer

A. 1

Explanation

The given function is f(x) = 5x-3. We are given that f(c) = 2. To find the value of c, we substitute f(c) = 2 into the function. This gives us 2 = 5c-3. Solving this equation, we add 3 to both sides to get 5c = 5. Dividing both sides by 5, we find that c = 1. Therefore, the value of c is 1.

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3

9.

Persamaan garis melalui titik potong garis y=2x - 1 dan y = 4x - 5 serta tegak lurus garis4x+5y -10=0 adalah ….

5x+4y+2=0
5x-y+2=0
5x+4y-2=0
5x-4y+2=0

Correct Answer

A. 5x-4y+2=0

Explanation

The given question asks for the equation of the line perpendicular to the line 4x+5y-10=0 and passing through the intersection point of the lines y=2x-1 and y=4x-5. To find the equation of a line perpendicular to a given line, we need to find the negative reciprocal of the slope of the given line. The slope of the given line is -4/5, so the negative reciprocal is 5/4. Therefore, the equation of the perpendicular line can be written in the form 5x-4y+c=0, where c is a constant. To determine the value of c, we substitute the coordinates of the intersection point (x,y) = (1,1) into the equation, which gives 5(1)-4(1)+c=0. Solving for c, we find c=-2. Therefore, the equation of the perpendicular line is 5x-4y+2=0.

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3

10.

Perhatikan pernyataan berikut.Pada segitiga XYZ, akan dibuat garis yang melalui titik X dengan urutan(1) Melukis busur lingkaran di titik Y dengan jari-jari lebih dari setengah YZ(2) Dengan jari-jari yang sama sebesarlebih dari setengah YZ, melukis busur lingkaran di titik Z(3) Melukis garis sumbu sehingga memotong sisi YZ di satu titik(4) Menghubungkan titik X ke perpotongan sisi YZ sehingga terbentuk garis beratGaris yang melalui titik X tersebut adalah adalah ……

Garis Berat
Garis Bagi
Garis Tinggi
Garis Sumbu

Correct Answer

A. Garis Berat

Explanation

The given steps describe the construction of a triangle XYZ. In step (4), it is mentioned to draw a line connecting point X to the intersection of side YZ, which forms the centroid of the triangle. This line is called the "Garis Berat" or "Garis Berat" in English. Hence, the correct answer is "Garis Berat".

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4

Soal Matematika Kelas 9 To Un

Hasil dari -32 + 16 x (-8) : 4 - (-40) adalah ....

Suatu pekerjaan apabila dilakukan oleh 6 orang dapat diselesaikan dalam 6 hari. Apabila pekerja ditambah 3 orang, maka pekerjaan tersebut dapat selesai dalam waktu….

Bu Nani menabung uang Rp3.000.000,00. Setelah 10 bulan, uang Bu Nani dalam tabungan menjadi Rp. 3.500.000,00. Bunga yang akan diperoleh Bu Nani jika uang tersebut disimpan selama setahun adalah ….

Dedi menabung uang sebesar Rp1.800.000,00 di Bank Kota Impian. Jumlah tabungan Dedi setelah 6 bulan menjadi sebesar Rp2.091.600,00. Bunga tabungan pertahun di bank tersebut adalah ….

Diketahui barisan bilangan 20, 17, 14, 11, …. Suku ke-17 dari barisan bilangan tersebut adalah ….

Dari 150 siswa kelas IX SMP Impian, 90 siswa senang sepakbola, 87 siswa senang basket, dan 60 siswa senang keduanya. Banyak siswa yang tidak senang sepakbola maupun basket adalah ….

Diketahui himpunan pasangan berurutan sebagai berikut.(1) {(7, x), (8, x), (9, x), (10, x) }(2) {(1, m), (2, m), (3, n), (4, n) }(3) {(5, p), (5, q), (5, r), (5, s) }(4) {1, t), (2, u), (1, v), (2, w) }Pasangan berurutan yang merupakan fungsi adalah ….

Rumus sebuah fungsi adalah f (x) = 5x-3.Jika diketahui nilai f (c)=2, maka nilai c adalah ....

Persamaan garis melalui titik potong garis y=2x - 1 dan y = 4x - 5 serta tegak lurus garis4x+5y -10=0 adalah ….