1.
( 15 x 10 ) x 8 = ....
Sifat asosiatif dari operasi di atas adalah ....
Correct Answer
B. 15 x ( 10 x 8 )
Explanation
The explanation for the given correct answer is that the expression follows the associative property of multiplication. According to the associative property, when multiplying three or more numbers, the grouping of the numbers does not change the result. In this case, the expression can be simplified as 15 multiplied by the product of 10 and 8. Therefore, the correct answer is 15 x (10 x 8), which equals 120.
2.
32 x ( 24 + 8) = .....
Sifat distributif dari operasi di atas adalah ....
Correct Answer
B. ( 32 x 24 ) + ( 32 x 8 )
Explanation
The correct answer is ( 32 x 24 ) + ( 32 x 8 ). This is because of the distributive property of multiplication over addition. According to this property, when we have a multiplication operation followed by an addition operation, we can distribute the multiplication to each term inside the parentheses. In this case, we distribute the 32 to both 24 and 8, resulting in ( 32 x 24 ) + ( 32 x 8 ).
3.
Hasil dari 12 + 20 x 15 – 50 : 5 = ....
Correct Answer
D. 302
Explanation
The given expression follows the order of operations, which is to perform multiplication and division before addition and subtraction. Therefore, we first calculate 20 multiplied by 15, which equals 300. Then, we divide 50 by 5, which equals 10. Next, we add 12 to 300, resulting in 312. Finally, we subtract 10 from 312, giving us the final answer of 302.
4.
Hasil pembulatan ke ratusan terdekat dari bilangan 15.678 adalah ....
Correct Answer
D. 15.700
Explanation
The question asks for the rounded value of the number 15.678 to the nearest hundred. The hundredth place is the second decimal place, which is 7 in this case. Since 7 is greater than or equal to 5, we round up the number. Therefore, the rounded value to the nearest hundred is 15.700.
5.
Hasil penjumlahan dengan pembulatan ke ribuan dari operasi 12.289 + 14.712 adalah ....
Correct Answer
C. 27.000
Explanation
The correct answer is 27.000 because when we round the numbers 12.289 and 14.712 to the nearest thousandth, we get 12.000 and 15.000 respectively. Then, when we add these rounded numbers together, we get 27.000.
6.
Faktor persekutuan 24 dan 64 adalah ....
Correct Answer
A. 1, 2 , 4 dan 8
Explanation
The factors of 24 are 1, 2, 3, 4, 6, 8, 12, and 24. The factors of 64 are 1, 2, 4, 8, 16, 32, and 64. The common factors of both 24 and 64 are 1, 2, 4, and 8. Therefore, the correct answer is 1, 2, 4, and 8.
7.
Akar pangkat dua dari 676 adalah ....
Correct Answer
B. 26
Explanation
The question is asking for the square root of 676. The square root of a number is a value that, when multiplied by itself, gives the original number. In this case, the square root of 676 is 26 because 26 multiplied by itself equals 676.
8.
Bilangan pangkat dua yang kurang dari 30 adalah ....
Correct Answer
D. 1 , 4 , 9 , 16 dan 25
Explanation
The correct answer is 1, 4, 9, 16, and 25. These numbers are all perfect squares that are less than 30. The numbers 1, 4, 9, 16, and 25 are all obtained by squaring the numbers 1, 2, 3, 4, and 5 respectively. Since 5 squared is 25, it is the largest perfect square less than 30.
9.
Faktorisasi prima dari bilangan 1.000 adalah ....
Correct Answer
C. 2³ x 5³
Explanation
The correct answer is 2³ x 5³. This is because the prime factorization of 1,000 can be found by dividing it by prime numbers until it cannot be divided any further. By dividing 1,000 by 2, we get 500. Dividing 500 by 2 again, we get 250. Dividing 250 by 2 once more, we get 125. Since 125 is not divisible by 2 anymore, we move on to the next prime number, which is 5. Dividing 125 by 5, we get 25. Dividing 25 by 5 again, we get 5. And finally, dividing 5 by 5, we get 1. Therefore, the prime factorization of 1,000 is 2³ x 5³.
10.
KPK dari 12 dan 32 adalah ....
Correct Answer
C. 96
Explanation
The correct answer is 96. This is because KPK stands for "Kelipatan Persekutuan Terkecil" in Indonesian, which translates to "Least Common Multiple" in English. To find the least common multiple of 12 and 32, we need to find the smallest number that is divisible by both 12 and 32. The prime factors of 12 are 2^2 and 3, while the prime factors of 32 are 2^5. To find the least common multiple, we take the highest power of each prime factor that appears in either number. So, the least common multiple of 12 and 32 is 2^5 * 3 = 96.
11.
32² + 15² x 4² = ....
Correct Answer
A. 4.624
Explanation
The given expression involves squaring the numbers 32 and 15, and then multiplying the result by the square of 4. The square of 32 is 1024, the square of 15 is 225, and the square of 4 is 16. Therefore, the expression simplifies to 1024 + (225 x 16). Multiplying 225 by 16 gives 3600, and adding 1024 to 3600 gives 4624. Therefore, the correct answer is 4.624.
12.
FPB dari 80 dan 50 adalah ....
Correct Answer
A. 10
Explanation
The correct answer is 10 because the FPB (Faktor Persekutuan Terbesar) of 80 and 50 is the largest number that can divide both 80 and 50 without leaving a remainder. In this case, the common factors of 80 and 50 are 1, 2, 5, and 10. Among these factors, 10 is the largest one, making it the FPB of 80 and 50.
13.
Bu Dina baru saja membeli buah-buahan dari pasar berupa 35 buah apel dan 40 buah jeruk. Buah-buahan tersebut akan disajikan dalam piring dengan jumlah sama. Jumlah piring terbanyak untuk menyajikannya adalah ....
Correct Answer
C. 5
Explanation
Dina has a total of 35 apples and 40 oranges, which adds up to 75 fruits in total. She wants to serve them in plates with an equal amount of fruits. To find the maximum number of plates needed, we need to find the greatest common divisor (GCD) of 35 and 40. The GCD of 35 and 40 is 5. Therefore, the maximum number of plates needed to serve the fruits equally is 5.
14.
3 milenium – 5 abad + 10 dasawarsa = ..... tahun.
Correct Answer
A. 3.500
Explanation
The given equation involves subtracting 5 centuries (5 abad) and adding 10 decades (10 dasawarsa) from 3 millennia (3 milenium). To solve the equation, we start with 3 millennia (3000 years), subtract 5 centuries (500 years), and then add 10 decades (100 years). Therefore, the total is 3500 years (3.500).
15.
10 jam 25 menit 20 detik + 4 jam 45 menit 55 detik = ......
Correct Answer
D. 15 jam 11 menit 15 detik
Explanation
The given question asks to add two time durations together. To solve this, we add the hours, minutes, and seconds separately.
10 hours + 4 hours = 14 hours
25 minutes + 45 minutes = 70 minutes, which is equivalent to 1 hour and 10 minutes
20 seconds + 55 seconds = 75 seconds, which is equivalent to 1 minute and 15 seconds
Combining these results, we have 14 hours + 1 hour = 15 hours, 10 minutes + 1 minute = 11 minutes, and 15 seconds. Therefore, the correct answer is 15 hours 11 minutes 15 seconds.
16.
3 jam + 7200 detik = ..... menit
Correct Answer
B. 300
Explanation
The question asks for the number of minutes in 3 hours and 7200 seconds. To convert hours to minutes, we multiply by 60 since there are 60 minutes in an hour. 3 hours is equal to 180 minutes. To convert seconds to minutes, we divide by 60 since there are 60 seconds in a minute. 7200 seconds is equal to 120 minutes. Adding 180 minutes and 120 minutes together gives us a total of 300 minutes. Therefore, the correct answer is 300.
17.
Rumus untuk mencari kecepatan adalah ....
Correct Answer
D. Jarak : waktu
Explanation
The correct answer is "Jarak : waktu". This is because the formula to calculate speed (kecepatan) is distance (jarak) divided by time (waktu). Therefore, the correct formula is to divide the distance by the time.
18.
Untuk mencari luas trapesium digunakan rumus ....
Correct Answer
D. (a + b) x 2 : t
Explanation
The formula (a + b) x 2 : t is used to find the area of a trapezium. The sum of the lengths of the parallel sides (a and b) is multiplied by 2, and then divided by the height (t) of the trapezium. This formula accounts for the fact that the area of a trapezium is equal to the average of the lengths of the parallel sides multiplied by the height.
19.
Luas bangun di atas adalah .....
Correct Answer
A. 180 cm²
20.
Luas layang-layang yang mempunyai panjang diagonal 12 cm dan 20 cm adalah .... cm²
Correct Answer
A. 120
Explanation
The area of a rhombus can be calculated by multiplying the lengths of its diagonals and dividing the result by 2. In this case, the diagonal lengths are given as 12 cm and 20 cm. So, the area of the rhombus can be calculated as (12 cm * 20 cm) / 2 = 240 cm². However, the given answer is 120 cm², which is incorrect.
21.
Diketahui luas layang-layang di atas adalah 176 cm². Jika panjang AC adalah 16 cm maka panjang BD adalah ....
Correct Answer
C. 22 cm
Explanation
The area of a kite is calculated by multiplying the lengths of the diagonals and dividing by 2. In this case, the area is given as 176 cm² and the length of AC is given as 16 cm. Let's assume that the length of BD is x cm. So, the area of the kite can be written as (16 * x) / 2 = 176. Simplifying this equation, we get 8x = 176, which means x = 22. Therefore, the length of BD is 22 cm.
22.
Rumus untuk mencari volume balok adalah ....
Correct Answer
B. V = P x l x t
Explanation
The correct answer is V = P x l x t. This formula is used to calculate the volume of a rectangular prism or a cuboid. "V" represents the volume, "P" represents the length of the prism, "l" represents the width of the prism, and "t" represents the height or the thickness of the prism. By multiplying the length, width, and height together, we can find the volume of the rectangular prism.
23.
Aquarium berbentuk balok dengan panjang, lebar dan tinggi sebesar 90 cm, 60 cm dan 70 cm. Maka volumenya adalah ....
Correct Answer
C. 378 dm³
Explanation
The volume of a rectangular prism can be calculated by multiplying its length, width, and height. In this case, the length is 90 cm, the width is 60 cm, and the height is 70 cm. By multiplying these values together, we get a volume of 378,000 cm³. Since the unit of measurement given in the answer choices is dm³, we need to convert the volume to dm³. Since 1 dm = 10 cm, we divide the volume by 1,000 to convert cm³ to dm³. Therefore, the correct answer is 378 dm³.
24.
Volume kubus di atas adalah ....
Correct Answer
C. 5.832 cm³
Explanation
The correct answer is 5.832 cm³ because it is the only option that is in cubic centimeters (cm³), which is the appropriate unit for measuring the volume of a cube. The other options are in cubic decimeters (dm³) and would not be a suitable measurement for a cube.
25.
Rino mempunyai kotak pensil berbentuk kubus dengan panjang sisinya 20 cm. Lalu Doni juga punyak kotak pensil berbentuk kubus dengan panjang sisi 15 cm. Selisih volume kotak pensil mereka berdua adalah .... cm³
Correct Answer
D. 4.625
Explanation
The volume of a cube is calculated by multiplying the length of one side by itself twice. Therefore, the volume of Rino's pencil box is 20 cm * 20 cm * 20 cm = 8,000 cm³. The volume of Doni's pencil box is 15 cm * 15 cm * 15 cm = 3,375 cm³. The difference in volume between the two pencil boxes is 8,000 cm³ - 3,375 cm³ = 4,625 cm³.