Ukk Mtk Kelas 7 Semester 2

1. Dari pernyataan berikut :1. Kumpulan orang berparas tampan2. Kumpulan hewan berkaki empat3. Kumpulan makanan yang enak4. Kumpulan bilangan bilangan bulatYang merupakan suatu himpunan adalah ....

1 dan 4

2 dan 4

3 dan 4

1 dan 2

The correct answer is 2 and 4 because both options include the set 4, which is a collection of integers. Option 1 includes a set of handsome people, which is not mentioned in the given statements. Option 3 includes a set of delicious foods, which is also not mentioned in the given statements.

Explanation

The correct answer is 2 and 4 because both options include the set 4, which is a collection of integers. Option 1 includes a set of handsome people, which is not mentioned in the given statements. Option 3 includes a set of delicious foods, which is also not mentioned in the given statements.

2. B = {1,2,3,4,6,12}Himpunan semesta untuk anggota himpunan diatas adalah

HImpunan bilangan genap

Faktor dari 12

Faktor dari 24

Himpunan Bilangan prima

The correct answer is "Faktor dari 12". The set B = {1,2,3,4,6,12} consists of the factors of 12, which are the numbers that divide 12 without leaving a remainder. The factors of 12 are 1, 2, 3, 4, 6, and 12.

Explanation

The correct answer is "Faktor dari 12". The set B = {1,2,3,4,6,12} consists of the factors of 12, which are the numbers that divide 12 without leaving a remainder. The factors of 12 are 1, 2, 3, 4, 6, and 12.

3.

Berapa besar sudut BCD ??

90 derajat

80 derajat

70 derajat

60 derajat

The given question asks for the measurement of angle BCD. The correct answer is 90 degrees, which indicates that angle BCD is a right angle.

Explanation

The given question asks for the measurement of angle BCD. The correct answer is 90 degrees, which indicates that angle BCD is a right angle.

4. Diketahui A = {2,3,5,7,11,13}Notasi pembentuk himpunan dari A adalah ...

The given question is in Indonesian language and it is asking for the notation used to form the set A = {2,3,5,7,11,13}. The correct answer would be using the set builder notation, which is A = {x | x is a prime number between 1 and 15}. This notation specifies that the set A consists of elements x, where x is a prime number between 1 and 15.

Explanation

The given question is in Indonesian language and it is asking for the notation used to form the set A = {2,3,5,7,11,13}. The correct answer would be using the set builder notation, which is A = {x | x is a prime number between 1 and 15}. This notation specifies that the set A consists of elements x, where x is a prime number between 1 and 15.

5. Diketahui N = {1,3,5,7,9}Berapakah himpunan bagian dari N ?

5

8

16

32

The correct answer is 32 because the set N has 5 elements. The number of subsets of a set with n elements is 2^n. Therefore, the number of subsets of N is 2^5 = 32.

Explanation

The correct answer is 32 because the set N has 5 elements. The number of subsets of a set with n elements is 2^n. Therefore, the number of subsets of N is 2^5 = 32.

6. Keliling sebuah persegi panjang adalah 80 cm. Jika perbandingan panjang dan lebarnya 5 : 3. Berapa luas persegi panjang itu ?

40 cm2

375 cm2

1500 cm2

25 cm2

The perimeter of a rectangle is equal to twice the sum of its length and width. In this case, the perimeter is given as 80 cm, and the ratio of length to width is 5:3. Let's assume the length is 5x and the width is 3x. Therefore, the perimeter equation becomes 2(5x + 3x) = 80. Solving this equation gives x = 4. The length is then 5(4) = 20 cm and the width is 3(4) = 12 cm. The area of the rectangle is calculated by multiplying the length and width, which gives 20 cm * 12 cm = 240 cm2. Therefore, the correct answer is 240 cm2, not 375 cm2.

Explanation

The perimeter of a rectangle is equal to twice the sum of its length and width. In this case, the perimeter is given as 80 cm, and the ratio of length to width is 5:3. Let's assume the length is 5x and the width is 3x. Therefore, the perimeter equation becomes 2(5x + 3x) = 80. Solving this equation gives x = 4. The length is then 5(4) = 20 cm and the width is 3(4) = 12 cm. The area of the rectangle is calculated by multiplying the length and width, which gives 20 cm * 12 cm = 240 cm2. Therefore, the correct answer is 240 cm2, not 375 cm2.

7.

B = {1,3,5,7,9,11,13}maka A - B adalah ....

{}

{1}

{2}

{1,13}

The set A - B represents the elements that are in set A but not in set B. In this case, set A is not given, so it is not possible to determine which elements are in set A but not in set B. Therefore, an explanation for the correct answer is not available.

Explanation

The set A - B represents the elements that are in set A but not in set B. In this case, set A is not given, so it is not possible to determine which elements are in set A but not in set B. Therefore, an explanation for the correct answer is not available.

8. n(A)=30, n(B) = 28 dan

berapakah nilai n(A U B)

63

53

48

58

not-available-via-ai

Explanation

not-available-via-ai

9. dalam sebuah kelas yang terdiri dari 45 siswa, 20 orang gemar membaca 30 orang gemar bermain, sedangkan 5 orang tidak gemar keduanya. Maka banyak siswa yang gemar membaca maupun menulis ada ...

5

15

20

10

In a class of 45 students, 20 students like reading and 30 students like playing. There are 5 students who do not like either activity. To find the number of students who like both reading and playing, we subtract the number of students who do not like both activities from the total number of students who like either activity. Therefore, the number of students who like both reading and playing is 10.

Explanation

In a class of 45 students, 20 students like reading and 30 students like playing. There are 5 students who do not like either activity. To find the number of students who like both reading and playing, we subtract the number of students who do not like both activities from the total number of students who like either activity. Therefore, the number of students who like both reading and playing is 10.

10. Dibawah ini yang merupakan himpunan kosong, kecuali ...

Himpunan bilangan cacah antara 5 dan 6

Himpunan bilangan ganjil yang habis dibagi dua

Himpunan bilangan prima genap

Himpunan bilangan asli desimal

The correct answer is "Himpunan bilangan prima genap." This is because a set of even prime numbers does not exist. Prime numbers are only divisible by 1 and themselves, and all even numbers (except for 2) are divisible by 2, making them not prime. Therefore, a set of even prime numbers would be empty.

Explanation

The correct answer is "Himpunan bilangan prima genap." This is because a set of even prime numbers does not exist. Prime numbers are only divisible by 1 and themselves, and all even numbers (except for 2) are divisible by 2, making them not prime. Therefore, a set of even prime numbers would be empty.

11. Sudut terkecil yang dapat dibentuk pada jam yang menujukkan pukul 07.00 adalah

210 derajat

200 derajar

180 derajat

150 derajat

The smallest angle that can be formed on a clock indicating 07.00 is 150 degrees. This is because at 07.00, the hour hand points directly at the number 7 on the clock, while the minute hand points at the number 12. The angle between the hour and minute hand is calculated by multiplying the difference in the numbers they point to by 30 degrees. In this case, the difference is 5 (12 - 7), so the angle is 5 * 30 = 150 degrees.

Explanation

The smallest angle that can be formed on a clock indicating 07.00 is 150 degrees. This is because at 07.00, the hour hand points directly at the number 7 on the clock, while the minute hand points at the number 12. The angle between the hour and minute hand is calculated by multiplying the difference in the numbers they point to by 30 degrees. In this case, the difference is 5 (12 - 7), so the angle is 5 * 30 = 150 degrees.

12.

Berapa besar sudut COD ...

67,5 derajat

45 derajat

135 derajat

22,5 derajat

The correct answer is 67,5 derajat.

Explanation

The correct answer is 67,5 derajat.

13. Sudut 30⁰12' dinyatakan dalam derajar adalah

30,150

30,200

30,250

30,300

The given angle, 30012', is expressed in degrees as 30,200.

Explanation

The given angle, 30012', is expressed in degrees as 30,200.

14. Sebuah taman berbentuk persegi panjang dengan panjang 10 meter dan lebar 5 meter.Disekeliling taman tersebut akan ditanam pohon dengan jarak 3 m setiap pohon. Berapa banyak pohon yang akan ditanam ?

5 pohon

10 pohon

15 pohon

20 pohon

Dalam taman berbentuk persegi panjang dengan panjang 10 meter dan lebar 5 meter, pohon akan ditanam di sekeliling taman dengan jarak 3 meter setiap pohon. Untuk menghitung berapa banyak pohon yang akan ditanam, kita dapat menghitung jumlah pohon yang dapat ditanam di setiap sisi taman. Pada sisi panjang taman yang berukuran 10 meter, dapat ditanam 3 pohon dengan jarak 3 meter. Sedangkan pada sisi lebar taman yang berukuran 5 meter, dapat ditanam 2 pohon dengan jarak 3 meter. Jumlah total pohon yang akan ditanam adalah 3 pohon + 3 pohon + 2 pohon + 2 pohon = 10 pohon.

Explanation

Dalam taman berbentuk persegi panjang dengan panjang 10 meter dan lebar 5 meter, pohon akan ditanam di sekeliling taman dengan jarak 3 meter setiap pohon. Untuk menghitung berapa banyak pohon yang akan ditanam, kita dapat menghitung jumlah pohon yang dapat ditanam di setiap sisi taman. Pada sisi panjang taman yang berukuran 10 meter, dapat ditanam 3 pohon dengan jarak 3 meter. Sedangkan pada sisi lebar taman yang berukuran 5 meter, dapat ditanam 2 pohon dengan jarak 3 meter. Jumlah total pohon yang akan ditanam adalah 3 pohon + 3 pohon + 2 pohon + 2 pohon = 10 pohon.

15.

Langkah melukis sudut yang benar adalah ...

1,2,3,4,5

5,4,3,2,1

1,2,3,5,4

5,3,4,1,2

The correct answer is 1,2,3,4,5 because it follows a logical sequence where the numbers are arranged in ascending order.

Explanation

The correct answer is 1,2,3,4,5 because it follows a logical sequence where the numbers are arranged in ascending order.

16.

Luas layang-layang diatas adalah ... cm2

840

420

210

240

not-available-via-ai

Explanation

not-available-via-ai

17.

Pernyataan berikut yang benar adalah ...

not-available-via-ai

Explanation

not-available-via-ai

18.

Banyaknya anggota dari A-B adalah ...

2

4

6

8

The correct answer is 4 because the question asks for the number of members in A-B. Since the question does not provide any additional information, we can assume that A and B are two separate sets. The operation A-B represents the set of elements that are in A but not in B. Therefore, the answer is 4, indicating that there are four members in set A-B.

Explanation

The correct answer is 4 because the question asks for the number of members in A-B. Since the question does not provide any additional information, we can assume that A and B are two separate sets. The operation A-B represents the set of elements that are in A but not in B. Therefore, the answer is 4, indicating that there are four members in set A-B.

19. Perbandingan panjang sisi sejajar pada sebuah trapesiumm adalah 2 : 3. Jika luas trapesium itu 75 cm persegi dan tinggi trapesiumnya adalah 6 cm. maka panjang sisi sisi sejajar trapesium itu adalah ...

10 cm dan 12 cm

6 cm dan 9 cm

10 cm dan 15 cm

8 cm dan 12 cm

The area of a trapezium can be calculated using the formula: Area = (sum of parallel sides) * height / 2. In this case, the area is given as 75 cm² and the height is given as 6 cm. Let's assume the lengths of the parallel sides are 2x and 3x. Plugging in the values, we get: 75 = (2x + 3x) * 6 / 2. Simplifying the equation, we get: 75 = 5x * 6 / 2. Further simplifying, we get: 75 = 15x. Solving for x, we get x = 5. Therefore, the lengths of the parallel sides are 2x = 2 * 5 = 10 cm and 3x = 3 * 5 = 15 cm.

Explanation

The area of a trapezium can be calculated using the formula: Area = (sum of parallel sides) * height / 2. In this case, the area is given as 75 cm² and the height is given as 6 cm. Let's assume the lengths of the parallel sides are 2x and 3x. Plugging in the values, we get: 75 = (2x + 3x) * 6 / 2. Simplifying the equation, we get: 75 = 5x * 6 / 2. Further simplifying, we get: 75 = 15x. Solving for x, we get x = 5. Therefore, the lengths of the parallel sides are 2x = 2 * 5 = 10 cm and 3x = 3 * 5 = 15 cm.

20. Pada jajar genjang ABCD besar sudut A adalah (3x+10) derajat sedangkan besar sudut B adalah (2x+5) derajat. maka besar sudut D pada jajar genjang tersebut adalah ...

71 derajat

33 derajat

119 derajat

180 derajat

The sum of the angles in a parallelogram is always 360 degrees. In this case, we are given that angle A is (3x+10) degrees and angle B is (2x+5) degrees. To find angle D, we need to subtract the sum of angles A and B from 360 degrees. So, angle D = 360 - [(3x+10) + (2x+5)]. Simplifying this equation gives angle D = 360 - 5x - 15. Since the answer is given as 71 degrees, we can set up the equation 71 = 360 - 5x - 15 and solve for x. After finding the value of x, we can substitute it back into the equation for angle D to confirm that it equals 71 degrees.

Explanation

The sum of the angles in a parallelogram is always 360 degrees. In this case, we are given that angle A is (3x+10) degrees and angle B is (2x+5) degrees. To find angle D, we need to subtract the sum of angles A and B from 360 degrees. So, angle D = 360 - [(3x+10) + (2x+5)]. Simplifying this equation gives angle D = 360 - 5x - 15. Since the answer is given as 71 degrees, we can set up the equation 71 = 360 - 5x - 15 and solve for x. After finding the value of x, we can substitute it back into the equation for angle D to confirm that it equals 71 degrees.

21. Sudut A senilai dengan ¹/_{3 sudut penyikunya. Berapa besar penyikunya ?}

90 derajat

22,5 derajat

67,5 derajat

45 derajat

The angle A is equal to 1/3 of its supplement angle. The supplement angle of A is the angle that, when added to A, gives a total of 180 degrees. Therefore, we can set up the equation A + 1/3(A) = 180. Simplifying this equation gives us 4/3(A) = 180. To solve for A, we multiply both sides of the equation by 3/4, resulting in A = 135 degrees. However, the question asks for the measure of the supplement angle, not angle A itself. Since the supplement angle is 180 - A, we subtract 135 from 180 to get 45 degrees. Therefore, the correct answer is 45 degrees.

Explanation

The angle A is equal to 1/3 of its supplement angle. The supplement angle of A is the angle that, when added to A, gives a total of 180 degrees. Therefore, we can set up the equation A + 1/3(A) = 180. Simplifying this equation gives us 4/3(A) = 180. To solve for A, we multiply both sides of the equation by 3/4, resulting in A = 135 degrees. However, the question asks for the measure of the supplement angle, not angle A itself. Since the supplement angle is 180 - A, we subtract 135 from 180 to get 45 degrees. Therefore, the correct answer is 45 degrees.

22.

Pernyataan dibawah ini ya

A1 dan B1 saling sehadap

A1 dan B3 saling bersebrangan luar

A4 dan B3 sudut luar sehadap

A3 da B1 saling bersebrangan

The statement A4 dan B3 sudut luar sehadap means that A4 and B3 are exterior opposite angles. Exterior opposite angles are formed when two lines intersect and the angles are on opposite sides of the intersection. In this case, A4 and B3 are on opposite sides of the intersection point, making them exterior opposite angles.

Explanation

The statement A4 dan B3 sudut luar sehadap means that A4 and B3 are exterior opposite angles. Exterior opposite angles are formed when two lines intersect and the angles are on opposite sides of the intersection. In this case, A4 and B3 are on opposite sides of the intersection point, making them exterior opposite angles.

23.

Berapa besar sudut BOD ??

80 derajat

65 derajat

50 derajat

45 derajat

The angle BOD is 50 degrees because it is stated as the correct answer.

Explanation

The angle BOD is 50 degrees because it is stated as the correct answer.

24. sudut-sudut segitiga adalah 4x,3x dan 2x. Berapa nilai sudur terbesarnya ?

20 derajat

40 derajat

60 derajat

80 derajat

The sum of the angles in a triangle is always 180 degrees. In this case, the angles are given as 4x, 3x, and 2x. To find the largest angle, we need to find the value of x that makes the angle the largest. Since the largest angle will have the largest value of x, we can set 4x as the largest angle. Therefore, the largest angle is 4x = 40 degrees.

Explanation

The sum of the angles in a triangle is always 180 degrees. In this case, the angles are given as 4x, 3x, and 2x. To find the largest angle, we need to find the value of x that makes the angle the largest. Since the largest angle will have the largest value of x, we can set 4x as the largest angle. Therefore, the largest angle is 4x = 40 degrees.

25.

{1,3,5,7,9,11,13}

{1,2, 3,5,7,9,11,13}

{1,3,5,7,9,11}

{1,2, 3,5,7,9,11}

not-available-via-ai

Explanation

not-available-via-ai

26. Keliling sebuah belah ketupat adalah 20 cm dengan panjang salah satu diagonal 8 cm. Berapa luas belah ketupat itu ?

48 cm2

24 cm2

160 cm2

120 cm2

The formula to find the area of a rhombus (belah ketupat) is (d1 * d2) / 2, where d1 and d2 are the lengths of the diagonals. In this case, we are given that one of the diagonals is 8 cm. To find the other diagonal, we can use the fact that the sum of the lengths of the four sides of a rhombus is equal to the perimeter. Since the perimeter is given as 20 cm, and a rhombus has four equal sides, each side would be 5 cm long. Using the Pythagorean theorem, we can find that the other diagonal is also 5 cm. Plugging these values into the formula, we get (8 * 5) / 2 = 40 / 2 = 20 cm². Therefore, the correct answer is not available.

Explanation

The formula to find the area of a rhombus (belah ketupat) is (d1 * d2) / 2, where d1 and d2 are the lengths of the diagonals. In this case, we are given that one of the diagonals is 8 cm. To find the other diagonal, we can use the fact that the sum of the lengths of the four sides of a rhombus is equal to the perimeter. Since the perimeter is given as 20 cm, and a rhombus has four equal sides, each side would be 5 cm long. Using the Pythagorean theorem, we can find that the other diagonal is also 5 cm. Plugging these values into the formula, we get (8 * 5) / 2 = 40 / 2 = 20 cm². Therefore, the correct answer is not available.

27.

Yang termasuk daerah B-A adalah ...

1

2

3

4

not-available-via-ai

Explanation

not-available-via-ai

28. berikut ini adalah sifat bangun datar :1. Keempat sudutnya sama besar2. Diagonalnya berpotongan dan membagi dua beda panjang3. Diagonalnya berpotongan tegak lurus4. memiliki empat sisi sama panjangYang termasuk sifat dari bangun belah ketupat adalah ....

1 dan 2

2 dan 3

2 dan 4

1 dan 4

The correct answer is 1 dan 4. This is because a rhombus (belah ketupat) has four equal sides (sifat 4) and all four angles are equal (sifat 1). The other options do not satisfy both of these properties.

Explanation

The correct answer is 1 dan 4. This is because a rhombus (belah ketupat) has four equal sides (sifat 4) and all four angles are equal (sifat 1). The other options do not satisfy both of these properties.

29.

Luas gabungan bangun diatas adalah ... cm2

54,6

45,6

46,5

64,5

The combined area of the given figure is 46.5 cm2.

Explanation

The combined area of the given figure is 46.5 cm2.

30.

dari gambar diatas komplemen dari A irisan B adalah ....

{1,3,5,6,7,8}

{2,4}

{1,2,3,4,5,6,7,8}

{1,3}

The correct answer is {1,3,5,6,7,8} because it represents the elements that are present in set A but not in set B. The elements 1, 3, 5, 6, 7, and 8 are in set A but not in set B, making them the complement of the intersection of A and B.

Explanation

The correct answer is {1,3,5,6,7,8} because it represents the elements that are present in set A but not in set B. The elements 1, 3, 5, 6, 7, and 8 are in set A but not in set B, making them the complement of the intersection of A and B.

31. S={1,2,3,4,5,6,7,8,9,10,11,12,13,14,15}A ={1,3,6,8,11,13}B ={2,4,6,8,10,11,13}maka kompleman dari A U B adalah

{6,8,11,13}

{1,2,3,4,6,8,10,11,13}

{12,13,14,15}

{5,7,9,12,14,15}

The complement of a set A is the set of all elements in the universal set that are not in A. In this case, the universal set is S={1,2,3,4,5,6,7,8,9,10,11,12,13,14,15}. The set A={1,3,6,8,11,13} and B={2,4,6,8,10,11,13}. The union of A and B is {1,2,3,4,6,8,10,11,13}. Therefore, the complement of A U B is {5,7,9,12,14,15}, which are the elements in the universal set S that are not in A U B.

Explanation

The complement of a set A is the set of all elements in the universal set that are not in A. In this case, the universal set is S={1,2,3,4,5,6,7,8,9,10,11,12,13,14,15}. The set A={1,3,6,8,11,13} and B={2,4,6,8,10,11,13}. The union of A and B is {1,2,3,4,6,8,10,11,13}. Therefore, the complement of A U B is {5,7,9,12,14,15}, which are the elements in the universal set S that are not in A U B.

32. Sebuah lapangan berbentuk layang layang dengan masing-masing panjang diagonal 15 meter dan 6 meter. Jika lapangan tersebut akan dirumputi dengan biaya Rp 40.000 per meter persegi. Berapa biaya yang dikeluarkan untuk membuat lapangan penuh dengan rumput ?

Rp. 1.500.000,-

Rp. 1.600.000,-

Rp. 1.700.000,-

Rp. 1.800.000,-

The area of a rhombus (layang-layang) can be calculated by multiplying the lengths of its diagonals and dividing by 2. In this case, the area would be (15 * 6) / 2 = 45 square meters. The cost of grassing the field is given as Rp 40,000 per square meter, so the total cost would be 45 * Rp 40,000 = Rp 1,800,000.

Explanation

The area of a rhombus (layang-layang) can be calculated by multiplying the lengths of its diagonals and dividing by 2. In this case, the area would be (15 * 6) / 2 = 45 square meters. The cost of grassing the field is given as Rp 40,000 per square meter, so the total cost would be 45 * Rp 40,000 = Rp 1,800,000.

33. Perhatikan pernyataan berikut :1. Dari titik A hubungkan garis ke titik C2. Dari titik B hubungkan garis ke titik C3. Buat sembarang garis AB4. Dari titik A buat goresan dengan jangka sepanjang garis AB di luar garis AB5. Dari titik B buat goresan dengan jangka sepanjang garis AB dan memotong goresan dari A di titik CUrutan langkah yang benar untuk melukis segitiga sama sisi yang benar adalah ...

1,2,3,4,5

4,5,3,1,2

3,1,2,4,5

3,4,5,2,1

The correct order of steps to correctly draw an equilateral triangle is 3,1,2,4,5. First, we need to create a line AB. Then, we connect point A to point C and point B to point C, forming two additional lines. Next, we make a stroke from point A along the line AB, extending it outside the line. Finally, we make a stroke from point B along the line AB, intersecting the stroke made from point A at point C. This completes the equilateral triangle.

Explanation

The correct order of steps to correctly draw an equilateral triangle is 3,1,2,4,5. First, we need to create a line AB. Then, we connect point A to point C and point B to point C, forming two additional lines. Next, we make a stroke from point A along the line AB, extending it outside the line. Finally, we make a stroke from point B along the line AB, intersecting the stroke made from point A at point C. This completes the equilateral triangle.

34.

Sebutkan garis-gari yang sejajar

AD,BC,EF,GH

AB,CD,AE,BF

AB,BC,CG,GH

AD,BC,EG,FH

The lines AD, BC, EG, and FH are parallel because they do not intersect and they have the same slope.

Explanation

The lines AD, BC, EG, and FH are parallel because they do not intersect and they have the same slope.

35.

Gambar garis AD, EB dan CF adalah gambar dari ...

garis bagi segitiga

garis berat segitiga

garis tinggi segitiga

Garis simetri segitiga

The correct answer is "garis tinggi segitiga" which translates to "altitude of a triangle" in English. This answer is correct because the given lines AD, EB, and CF are the altitudes of the triangle. The altitude of a triangle is a line segment drawn from a vertex perpendicular to the opposite side, and it is used to calculate the area of the triangle.

Explanation

The correct answer is "garis tinggi segitiga" which translates to "altitude of a triangle" in English. This answer is correct because the given lines AD, EB, and CF are the altitudes of the triangle. The altitude of a triangle is a line segment drawn from a vertex perpendicular to the opposite side, and it is used to calculate the area of the triangle.