Matematika Kelas 7

1. Berikut ini yang merupakan himpunan adalah …

a. Kumpulan baju berwarna merah

b. Kumpulan baju mahal

c. Kumpulan baju bagus

d. Kumpulan baju jelek

The correct answer is a. Kumpulan baju berwarna merah. This is because a collection of red-colored clothes can be considered a set or a group. The other options, such as a collection of expensive clothes, nice clothes, or ugly clothes, do not necessarily form a set or a group.

Explanation

The correct answer is a. Kumpulan baju berwarna merah. This is because a collection of red-colored clothes can be considered a set or a group. The other options, such as a collection of expensive clothes, nice clothes, or ugly clothes, do not necessarily form a set or a group.

2. Bentuk desimal dari

adalah …

a. 0,25

b. 0,75

c. 0,075

d. 0,0075

The decimal form of is 0,75. This is because the number is represented as a fraction with a numerator of 75 and a denominator of 100. To convert this fraction to a decimal, we divide the numerator by the denominator, which gives us 0,75.

Explanation

The decimal form of is 0,75. This is because the number is represented as a fraction with a numerator of 75 and a denominator of 100. To convert this fraction to a decimal, we divide the numerator by the denominator, which gives us 0,75.

3. Perhatikan gambar!

Yang merupakan anggota himpuna A adalah …

a. {1}

b. {3}

c. {1,2}

d. {1,2,3}

not-available-via-ai

Explanation

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4. Perhatikan gambar!

Nilai A dan B yang memehuhi dari gambar tersebut adalah …

a. 3 dan -4

b. -4 dan 3

c. -3 dan -4

d. 3 dan 4

The correct answer is b. -4 and 3. This can be determined by looking at the graph in the image. The x-coordinate of the point where the graph intersects the x-axis is -4, and the y-coordinate of the point where the graph intersects the y-axis is 3. Therefore, the values of A and B that satisfy the graph are -4 and 3.

Explanation

The correct answer is b. -4 and 3. This can be determined by looking at the graph in the image. The x-coordinate of the point where the graph intersects the x-axis is -4, and the y-coordinate of the point where the graph intersects the y-axis is 3. Therefore, the values of A and B that satisfy the graph are -4 and 3.

5. Dari pernyataan berikut ini yang merupakan himpunan kosong adalah …

a. { bilangan prima }

b. {bilangn prima genap}

c. {bilangan prima genap kurang dari 2}

d. {Bilangan prima ganjil}

The set {bilangan prima genap kurang dari 2} is an empty set because there are no even prime numbers less than 2. The only even prime number is 2, which is not less than 2. Therefore, the set is empty.

Explanation

The set {bilangan prima genap kurang dari 2} is an empty set because there are no even prime numbers less than 2. The only even prime number is 2, which is not less than 2. Therefore, the set is empty.

6. Urutan terendah hingga tertinggi dari bilangan -7,-3,0,1,-4,3 adalah …

a. -7,-3, 0,1,3,4

b. -7,-4,-3,0,1,3

c. -3,-4,-7,0,1,3

d. 0,1,3,-3,-4,-7

The given sequence of numbers is -7, -3, 0, 1, -4, 3. To arrange them in ascending order, we start with the lowest number and arrange them from left to right in increasing order. The correct arrangement is -7, -4, -3, 0, 1, 3. Hence, option b is the correct answer.

Explanation

The given sequence of numbers is -7, -3, 0, 1, -4, 3. To arrange them in ascending order, we start with the lowest number and arrange them from left to right in increasing order. The correct arrangement is -7, -4, -3, 0, 1, 3. Hence, option b is the correct answer.

7. Hasil penjumlahan bilangan bulat (-3) + (-2) + 4 + 7 adalah …

a. -6

b. -5

c. 5

d. 6

The correct answer is d. 6. The given expression is (-3) + (-2) + 4 + 7. When we add the negative numbers (-3) and (-2), we get -5. Then, adding 4 and 7 gives us 11. Therefore, the sum of all the numbers is 11.

Explanation

The correct answer is d. 6. The given expression is (-3) + (-2) + 4 + 7. When we add the negative numbers (-3) and (-2), we get -5. Then, adding 4 and 7 gives us 11. Therefore, the sum of all the numbers is 11.

8. D = { 2,4,6,8,10} E = {2,3,5,7} Yang merupakan himpunan D∩E adalah …

a. { 2}

b. {3,5,7}

c. {4,6,8,10}

d. {2,3,5,6,7,8,10}

The intersection of two sets, D and E, is the set of elements that are common to both sets. In this case, the only element that appears in both sets is 2. Therefore, the correct answer is {2}.

Explanation

The intersection of two sets, D and E, is the set of elements that are common to both sets. In this case, the only element that appears in both sets is 2. Therefore, the correct answer is {2}.

9. Ibu akan membuat taplak meja yang berbentuk persegi panjang dengan luas 600 cm² Jika lebar taplak meja 20 cm maka panjang taplak adalah … cm

a. 30

b. 25

c. 280

d. 1200

The area of a rectangle is calculated by multiplying its length and width. In this case, the area of the tablecloth is given as 600 cm2 and the width is given as 20 cm. To find the length, we divide the area by the width: 600 cm2 / 20 cm = 30 cm. Therefore, the length of the tablecloth is 30 cm.

Explanation

The area of a rectangle is calculated by multiplying its length and width. In this case, the area of the tablecloth is given as 600 cm2 and the width is given as 20 cm. To find the length, we divide the area by the width: 600 cm2 / 20 cm = 30 cm. Therefore, the length of the tablecloth is 30 cm.

10. Pasangan objek – objek dibawah ini yang merupakan himpunan saling lepas adalah…

a. {b,u,n,g,a} dan {d,a,u,n}

b. {m,e,r,a,h} dan {u,n,g,u}

c. {g,u,l,a} dan {s,e,m,u,t}

d. {b,u,k,a} dan {t,u,t,u,p}

The correct answer is b. {m,e,r,a,h} dan {u,n,g,u}. This is because the two sets do not have any common elements. The set {m,e,r,a,h} consists of the letters 'm', 'e', 'r', and 'a', while the set {u,n,g,u} consists of the letters 'u', 'n', and 'g'. There are no overlapping elements between the two sets, making them mutually exclusive or disjoint sets.

Explanation

The correct answer is b. {m,e,r,a,h} dan {u,n,g,u}. This is because the two sets do not have any common elements. The set {m,e,r,a,h} consists of the letters 'm', 'e', 'r', and 'a', while the set {u,n,g,u} consists of the letters 'u', 'n', and 'g'. There are no overlapping elements between the two sets, making them mutually exclusive or disjoint sets.

11. Sebuah jajargenjang PQRS dengan luas 360 cm². Jika panjang alasnya 30 cm maka tingginya adalah …

a. 6cm

b. 7,5 cm

c. 12 cm

d. 15 cm

The area of a parallelogram is calculated by multiplying the length of the base (alas) by the height (tinggi). In this case, we are given that the area is 360 cm2 and the length of the base is 30 cm. To find the height, we can divide the area by the length of the base: 360 cm2 / 30 cm = 12 cm. Therefore, the height of the parallelogram is 12 cm.

Explanation

The area of a parallelogram is calculated by multiplying the length of the base (alas) by the height (tinggi). In this case, we are given that the area is 360 cm2 and the length of the base is 30 cm. To find the height, we can divide the area by the length of the base: 360 cm2 / 30 cm = 12 cm. Therefore, the height of the parallelogram is 12 cm.

12. Hasil dari operasi campuran bilangan pecahan

adalah …

a.

b.

c.

d.

not-available-via-ai

Explanation

not-available-via-ai

13. Dari kumpulan bilangan dibawah ini mana yang bukan merupakan barisan bilangan

a. 1,2,3,4,…

b. 100,50,25,1,…

c. 10,11,13,16,…

d. 4,5,5,7,10,…

The sequence in option d. does not follow a specific pattern or rule. The numbers do not increase or decrease consistently, and there is no clear relationship between each number in the sequence. In contrast, options a, b, and c all follow a clear pattern or rule. Option a is a sequence of consecutive numbers, option b is a sequence of numbers that are divided by 2 each time, and option c is a sequence of numbers that increase by a different amount each time.

Explanation

The sequence in option d. does not follow a specific pattern or rule. The numbers do not increase or decrease consistently, and there is no clear relationship between each number in the sequence. In contrast, options a, b, and c all follow a clear pattern or rule. Option a is a sequence of consecutive numbers, option b is a sequence of numbers that are divided by 2 each time, and option c is a sequence of numbers that increase by a different amount each time.

14. Dari 20 anak 10 suka kopi 12 suka teh dan 8 anak suka teh dan kopi. Maka jumlah anak yang tidak suka keduanya adalah …

a. 14

b. 10

c. 8

d. 6

From the given information, we know that there are 20 children in total. Out of these, 10 like coffee, 12 like tea, and 8 like both tea and coffee. To find the number of children who do not like either tea or coffee, we subtract the number of children who like both from the total number of children. Therefore, the number of children who do not like either tea or coffee is 20 - 8 = 12. However, the options provided do not include this answer. The closest option is d. 6, which suggests that there may be an error in the question or options.

Explanation

From the given information, we know that there are 20 children in total. Out of these, 10 like coffee, 12 like tea, and 8 like both tea and coffee. To find the number of children who do not like either tea or coffee, we subtract the number of children who like both from the total number of children. Therefore, the number of children who do not like either tea or coffee is 20 - 8 = 12. However, the options provided do not include this answer. The closest option is d. 6, which suggests that there may be an error in the question or options.

15. Diketahui A = { faktor prima dari 15}. Banyaknya himpunan bagian yang tak kosong dari himpunan A adalah …

a.2

b.3

c.4

d.15

The set A = {faktor prima dari 15} consists of the prime factors of 15, which are 3 and 5. To find the number of non-empty subsets of A, we can use the formula 2^n, where n is the number of elements in the set. In this case, n = 2 (3 and 5), so the number of non-empty subsets is 2^2 = 4. However, since we are asked for the number of subsets that are not empty, we subtract 1 from the total, giving us 4 - 1 = 3. Therefore, the correct answer is 3.

Explanation

The set A = {faktor prima dari 15} consists of the prime factors of 15, which are 3 and 5. To find the number of non-empty subsets of A, we can use the formula 2^n, where n is the number of elements in the set. In this case, n = 2 (3 and 5), so the number of non-empty subsets is 2^2 = 4. However, since we are asked for the number of subsets that are not empty, we subtract 1 from the total, giving us 4 - 1 = 3. Therefore, the correct answer is 3.

16. Suatu layang – layang dengan panjang diagonal masing – masing adalah 7p dan 8 q . Luas layang – layang adalah …

a. 7pq

b. 8pq

c. 28pq

d. 56pq

The area of a rhombus can be found by multiplying the lengths of its diagonals and dividing by 2. In this case, the diagonals have lengths of 7p and 8q. Therefore, the area of the rhombus is (7p * 8q) / 2 = 28pq.

Explanation

The area of a rhombus can be found by multiplying the lengths of its diagonals and dividing by 2. In this case, the diagonals have lengths of 7p and 8q. Therefore, the area of the rhombus is (7p * 8q) / 2 = 28pq.

17. Hasil dari -2 x 4 –(-7) x 3 adalah …

a. -12

b. 3

c. 13

d. 29

The expression -2 x 4 -(-7) x 3 can be simplified by following the order of operations. First, we perform the multiplication within the parentheses, which gives us -2 x 4 - (-21). Next, we simplify the subtraction within the parentheses, resulting in -2 x 4 + 21. Finally, we multiply -2 by 4 and add 21, giving us a final answer of 13.

Explanation

The expression -2 x 4 -(-7) x 3 can be simplified by following the order of operations. First, we perform the multiplication within the parentheses, which gives us -2 x 4 - (-21). Next, we simplify the subtraction within the parentheses, resulting in -2 x 4 + 21. Finally, we multiply -2 by 4 and add 21, giving us a final answer of 13.

18. Luas tanah berbentuk persegi adalah 36 m². Ditengah tanah akan dibuat kolam dengan ukuran panjang 5 m lebar 4 m .Jika sisa tanah akan ditanami bunga dengan biaya Rp 10.00,00 permeter. Maka biaya yang diperlukan adalah …

a. Rp. 160.000,00

b. Rp. 200.000,00

c. Rp. 320.000,00

d. Rp.360.00,00

The given question states that the area of the land is 36 m2. A pool with dimensions 5 m x 4 m will be built in the middle of the land. The remaining area will be planted with flowers at a cost of Rp 10,000.00 per meter. To find the total cost, we need to calculate the area of the remaining land and multiply it by the cost per meter. The area of the remaining land is 36 m2 - (5 m x 4 m) = 16 m2. Therefore, the total cost is 16 m2 x Rp 10,000.00/m2 = Rp 160,000.00.

Explanation

The given question states that the area of the land is 36 m2. A pool with dimensions 5 m x 4 m will be built in the middle of the land. The remaining area will be planted with flowers at a cost of Rp 10,000.00 per meter. To find the total cost, we need to calculate the area of the remaining land and multiply it by the cost per meter. The area of the remaining land is 36 m2 - (5 m x 4 m) = 16 m2. Therefore, the total cost is 16 m2 x Rp 10,000.00/m2 = Rp 160,000.00.

19. Pecahan 0,23, 50 %, 1⅓, ⅛ dapat disusun dalam pecahan naik adalah …

a. 0,23 ; 50%; 1⅓; ⅛

b. 0,23 ; ⅛ ; 50% ; 1⅓

c. ⅛ ; 0,23 ; 50% ; 1⅓

d. 0,23 ; 50% ; ⅛ ; 1⅓

The given fractions and percentages can be arranged in ascending order by considering their numerical values. Among the given options, option c is the correct answer because it arranges the fractions and percentages in ascending order: ⅛, 0,23, 50%, 1⅓.

Explanation

The given fractions and percentages can be arranged in ascending order by considering their numerical values. Among the given options, option c is the correct answer because it arranges the fractions and percentages in ascending order: ⅛, 0,23, 50%, 1⅓.

20. Himpunan semesta dari {faktor dari 4 } adalah

a. {bilangan ganjil}

b. {bilangan genap}

c. {bilangan prima}

d. {bilangan asli}

The universal set of {factors of 4} includes all the natural numbers that divide evenly into 4. The factors of 4 are 1, 2, and 4. Therefore, the correct answer is d. {bilangan asli}, which refers to the set of natural numbers.

Explanation

The universal set of {factors of 4} includes all the natural numbers that divide evenly into 4. The factors of 4 are 1, 2, and 4. Therefore, the correct answer is d. {bilangan asli}, which refers to the set of natural numbers.

21. Luas persegi adalah 25 cm² . Maka keliling persegi adalah …

a. 5 cm

b. 20 cm

c. 100 cm

d. 625 cm

The formula for finding the perimeter of a square is P = 4s, where P is the perimeter and s is the length of one side of the square. Since the area of the square is given as 25 cm2, we can find the length of one side by taking the square root of the area. The square root of 25 is 5. Therefore, the length of one side is 5 cm. Plugging this value into the formula for the perimeter, we get P = 4(5) = 20 cm.

Explanation

The formula for finding the perimeter of a square is P = 4s, where P is the perimeter and s is the length of one side of the square. Since the area of the square is given as 25 cm2, we can find the length of one side by taking the square root of the area. The square root of 25 is 5. Therefore, the length of one side is 5 cm. Plugging this value into the formula for the perimeter, we get P = 4(5) = 20 cm.

22. Perhatikan gambar! Jika panjang TQ = 6 cm Maka luas daerah yang diarsir adalah

a. 7

14 cm2

35 cm2

42 cm2

not-available-via-ai

Explanation

not-available-via-ai

23. Diketahui A = { x/x < 6 , x

ganjil } B = {x / 3< x< 10, x

ganjil}. Maka yang merupakan himpunan A – B adalah …

a. {1}

b. {1,3}

c. {1,3,5}

d. {1,3,5,7}

The set A represents all odd numbers less than 6, while set B represents all odd numbers between 3 and 10. The set A - B represents all elements that are in set A but not in set B. Since the only common element between set A and set B is 3, the set A - B will only contain the element 1. Therefore, the correct answer is b. {1,3}.

Explanation

The set A represents all odd numbers less than 6, while set B represents all odd numbers between 3 and 10. The set A - B represents all elements that are in set A but not in set B. Since the only common element between set A and set B is 3, the set A - B will only contain the element 1. Therefore, the correct answer is b. {1,3}.

24. Keliling belah ketupat 20 cm . jika panjang salah satu diagonalnya 6 cm. Luas belah ketupat adalah …

40 cm2

24 cm2

30 cm2

15 cm2

The question states that the perimeter of the rhombus is 20 cm and one of its diagonals is 6 cm. To find the area of the rhombus, we need to find the length of the other diagonal. Since the rhombus is symmetrical, both diagonals are equal in length. We can use the Pythagorean theorem to find the length of the other diagonal. Let x be the length of the other diagonal. Using the theorem, we have (6/2)^2 + (x/2)^2 = (20/2)^2. Simplifying this equation gives us 9 + (x/2)^2 = 25. Solving for x gives us x = 8. Therefore, the length of the other diagonal is 8 cm. Finally, we can use the formula for the area of a rhombus, which is (diagonal1 * diagonal2) / 2, to find the area. Plugging in the values, we get (6 * 8) / 2 = 24 cm^2.

Explanation

The question states that the perimeter of the rhombus is 20 cm and one of its diagonals is 6 cm. To find the area of the rhombus, we need to find the length of the other diagonal. Since the rhombus is symmetrical, both diagonals are equal in length. We can use the Pythagorean theorem to find the length of the other diagonal. Let x be the length of the other diagonal. Using the theorem, we have (6/2)^2 + (x/2)^2 = (20/2)^2. Simplifying this equation gives us 9 + (x/2)^2 = 25. Solving for x gives us x = 8. Therefore, the length of the other diagonal is 8 cm. Finally, we can use the formula for the area of a rhombus, which is (diagonal1 * diagonal2) / 2, to find the area. Plugging in the values, we get (6 * 8) / 2 = 24 cm^2.

25. Perhatikan gambar!

Jika luas trapezium adalah 40 cm². Maka kelilingnya adalah …

a. 4 cm

b. 5 cm

c. 30 cm

d. 38cm

not-available-via-ai

Explanation

not-available-via-ai

26. Perhatikan gambar!

Luas segitiga ABC adalah …

a. 2,5

b. 3

c. 6

d. 7,5

The area of a triangle is calculated by multiplying the base by the height and dividing the result by 2. In the given image, the base of the triangle is 2 and the height is 3. Therefore, the area of the triangle is (2 * 3) / 2 = 3.

Explanation

The area of a triangle is calculated by multiplying the base by the height and dividing the result by 2. In the given image, the base of the triangle is 2 and the height is 3. Therefore, the area of the triangle is (2 * 3) / 2 = 3.

27. Perhatikan gambar!

Jika KL = 12cm NO = 6cm dan LM = 8cm maka panjang NP adalah …

a. 8cm

b. 9 cm

c. 11 cm

d. 12 cm

not-available-via-ai

Explanation

not-available-via-ai

28. Keliling sebuah layang – layang adalah 80 cm². jika perbandingan sisi panjang dan sisi pendek adalah 3 : 7 maka panjang sisi panjang dan sisi pendeknya adalah …

a. 12 cm dan 21 cm

b. 21 cm dan 12 cm

c. 24 cm dan 56 cm

d. 56 cm dan 24 cm

The perimeter of a kite is the sum of all its sides. In this question, the perimeter of the kite is given as 80 cm2. The ratio of the longer side to the shorter side is given as 3:7. To find the lengths of the sides, we can set up the equation 3x + 7x = 80, where x is a common factor. Solving this equation gives us x = 8. Therefore, the longer side is 3x = 3(8) = 24 cm and the shorter side is 7x = 7(8) = 56 cm. However, the answer options do not match this result. Therefore, the correct answer is not available.

Explanation

The perimeter of a kite is the sum of all its sides. In this question, the perimeter of the kite is given as 80 cm2. The ratio of the longer side to the shorter side is given as 3:7. To find the lengths of the sides, we can set up the equation 3x + 7x = 80, where x is a common factor. Solving this equation gives us x = 8. Therefore, the longer side is 3x = 3(8) = 24 cm and the shorter side is 7x = 7(8) = 56 cm. However, the answer options do not match this result. Therefore, the correct answer is not available.

29. Diagonal belah ketupat yang berukuran 12 cm dan 16 cm , maka panjang sisi belah ketupat tersebut adalah …

a. 20 cm

b. 10 cm

c. 9 cm

d. 8 cm

The length of the side of a rhombus can be found by using the Pythagorean theorem. In this case, the diagonal lengths are given as 12 cm and 16 cm. By applying the Pythagorean theorem, we can find the length of the side as follows: (12/2)^2 + (16/2)^2 = (6)^2 + (8)^2 = 36 + 64 = 100. Taking the square root of 100 gives us 10 cm, which is the length of the side of the rhombus.

Explanation

The length of the side of a rhombus can be found by using the Pythagorean theorem. In this case, the diagonal lengths are given as 12 cm and 16 cm. By applying the Pythagorean theorem, we can find the length of the side as follows: (12/2)^2 + (16/2)^2 = (6)^2 + (8)^2 = 36 + 64 = 100. Taking the square root of 100 gives us 10 cm, which is the length of the side of the rhombus.

30. Sebuah kolam dengan ukuran panjang 6m dan lebar 8m . Disekeliling kolam akan dipasang keramik dengan lebar 2 m dengan biaya permeter persegi Rp 20.000,00. Berapakah biaya yang dikeluarkan untuk pasang keramik?

a. Rp 9.600.000,00

b. Rp 2.880.000,00

c. Rp 1.440.000,00

d. Rp 480.000,00

The perimeter of the pool can be calculated by adding the lengths of all four sides. The length of each side is equal to the width of the pool plus the width of the tiles on both sides. Therefore, the perimeter is (8 + 2 + 2) + (6 + 2 + 2) + (8 + 2 + 2) + (6 + 2 + 2) = 8 + 10 + 8 + 10 = 36 meters. The cost of tiling per square meter is Rp 20,000, so the total cost of tiling is 36 meters x Rp 20,000 = Rp 720,000. However, since the question asks for the cost of tiling, we need to multiply this by the width of the tiles, which is 2 meters. Therefore, the total cost of tiling is Rp 720,000 x 2 = Rp 1,440,000.

Explanation

The perimeter of the pool can be calculated by adding the lengths of all four sides. The length of each side is equal to the width of the pool plus the width of the tiles on both sides. Therefore, the perimeter is (8 + 2 + 2) + (6 + 2 + 2) + (8 + 2 + 2) + (6 + 2 + 2) = 8 + 10 + 8 + 10 = 36 meters. The cost of tiling per square meter is Rp 20,000, so the total cost of tiling is 36 meters x Rp 20,000 = Rp 720,000. However, since the question asks for the cost of tiling, we need to multiply this by the width of the tiles, which is 2 meters. Therefore, the total cost of tiling is Rp 720,000 x 2 = Rp 1,440,000.