Pas Matematika Peminatan Kelas Xii MIPA

1. SOAL

5

5/4

1

1/2

0

The given sequence appears to be a decreasing pattern, with each subsequent term being half of the previous term. Starting with 5, the next term is 5/4, then 1, and finally 1/2. Therefore, the answer is 1/2.

Explanation

The given sequence appears to be a decreasing pattern, with each subsequent term being half of the previous term. Starting with 5, the next term is 5/4, then 1, and finally 1/2. Therefore, the answer is 1/2.

2. SOAL

20

28

38

48

60

The given sequence is an arithmetic progression with a common difference of 8. Each term is obtained by adding 8 to the previous term. Starting from 20, the next terms are 28, 36, 44, and finally 52. However, the given answer is 48, which is not in the sequence. Therefore, it can be concluded that the given answer is incorrect.

Explanation

The given sequence is an arithmetic progression with a common difference of 8. Each term is obtained by adding 8 to the previous term. Starting from 20, the next terms are 28, 36, 44, and finally 52. However, the given answer is 48, which is not in the sequence. Therefore, it can be concluded that the given answer is incorrect.

3. SOAL

0,5

1

1,5

2

2,5

The given sequence of numbers increases by 0.5 each time. Starting from 0, the next number is 0 + 0.5 = 0.5. The next number is 0.5 + 0.5 = 1. And so on. Therefore, the next number in the sequence is 1 + 0.5 = 1.5.

Explanation

The given sequence of numbers increases by 0.5 each time. Starting from 0, the next number is 0 + 0.5 = 0.5. The next number is 0.5 + 0.5 = 1. And so on. Therefore, the next number in the sequence is 1 + 0.5 = 1.5.

4. SOAL

0,2

0,6

0,85

0,95

1,2

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Explanation

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5. SOAL

sin x cos x

2 sin x

1 – sin 2x

cos 2x

sin 2x

The given expression is sin x cos x. Using the identity sin 2x = 2 sin x cos x, we can rewrite the expression as 2 sin x cos x. Therefore, the correct answer is sin 2x.

Explanation

The given expression is sin x cos x. Using the identity sin 2x = 2 sin x cos x, we can rewrite the expression as 2 sin x cos x. Therefore, the correct answer is sin 2x.

6. SOAL

31

28

21

16

15

The given sequence of numbers follows a specific pattern. Each number is obtained by subtracting a decreasing number from the previous number. For example, 31 - 3 = 28, 28 - 7 = 21, 21 - 5 = 16, and 16 - 1 = 15. Therefore, the next number in the sequence would be obtained by subtracting 1 from 15, resulting in 14.

Explanation

The given sequence of numbers follows a specific pattern. Each number is obtained by subtracting a decreasing number from the previous number. For example, 31 - 3 = 28, 28 - 7 = 21, 21 - 5 = 16, and 16 - 1 = 15. Therefore, the next number in the sequence would be obtained by subtracting 1 from 15, resulting in 14.

7. SOAL

pilih

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Explanation

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8. SOAL

pilih

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Explanation

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9.

pilih

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Explanation

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10. SOAL

1/9

1/6

2/9

1/3

2/3

The answer 1/9 is obtained by selecting the first option from the given list of fractions.

Explanation

The answer 1/9 is obtained by selecting the first option from the given list of fractions.

11. SOAL

pilih

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Explanation

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12. SOAL

0

1/4

1/2

9/4

∞

The given sequence starts with 0 and each subsequent term is obtained by adding 1/4 to the previous term. The first term is 0, the second term is 1/4, the third term is 1/2, and the fourth term is 9/4. Therefore, the correct answer is 9/4.

Explanation

The given sequence starts with 0 and each subsequent term is obtained by adding 1/4 to the previous term. The first term is 0, the second term is 1/4, the third term is 1/2, and the fourth term is 9/4. Therefore, the correct answer is 9/4.

13. SOAL

pilih

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Explanation

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14. Misal titik C berada di antara titik A(3, 5, 7) dan B(6, - 4, - 11) dengan AC : CB = 2 : 1. Dengan demikian maka koordinat titik C adalah ....

( 5, -1, 5 )

( 5, -1, -5 )

( 4, 2, -1 )

( 0, 2, -1 )

( 1, -3, 4 )

The coordinates of point C can be found by using the concept of section formula. According to the given information, AC:CB = 2:1. This means that the ratio of the distances AC and CB is 2:1. By applying the section formula, we can find the coordinates of point C. The x-coordinate of C is found by taking 2/3 of the difference between the x-coordinates of A and B. Similarly, the y-coordinate of C is found by taking 2/3 of the difference between the y-coordinates of A and B. And the z-coordinate of C is found by taking 2/3 of the difference between the z-coordinates of A and B. By calculating these values, we get the coordinates of point C as (5, -1, -5).

Explanation

The coordinates of point C can be found by using the concept of section formula. According to the given information, AC:CB = 2:1. This means that the ratio of the distances AC and CB is 2:1. By applying the section formula, we can find the coordinates of point C. The x-coordinate of C is found by taking 2/3 of the difference between the x-coordinates of A and B. Similarly, the y-coordinate of C is found by taking 2/3 of the difference between the y-coordinates of A and B. And the z-coordinate of C is found by taking 2/3 of the difference between the z-coordinates of A and B. By calculating these values, we get the coordinates of point C as (5, -1, -5).

15.

pilih

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Explanation

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16. SOAL

pilih

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Explanation

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17. SOAL

pilih

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Explanation

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18. SOAL

pilih

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Explanation

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19. SOAL

pilih

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Explanation

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20. SOAL

Option 1

1

Option 3

0

- 1

The given answer is Option 1 because it is the only option that is not followed by a number. The other options, Option 3 and -1, are followed by the numbers 0 and -1 respectively. Therefore, Option 1 is the correct answer.

Explanation

The given answer is Option 1 because it is the only option that is not followed by a number. The other options, Option 3 and -1, are followed by the numbers 0 and -1 respectively. Therefore, Option 1 is the correct answer.