Try Out 3 - Kelas 6 - Matematika

Explanation
Pak Ari bought 78 packs of books, with each pack containing 20 books. So, the total number of books he bought is 78 x 20 = 1560. Later, he sold 782 books. To find the number of books that are still unsold, we subtract the number of books sold from the total number of books bought: 1560 - 782 = 778. Therefore, the correct answer is 778.

Explanation
The correct answer is 57 because the given expression follows the order of operations (PEMDAS/BODMAS). First, we perform the multiplication: 225 x 15 = 3375. Then, we perform the addition: 45 + 180 = 225. Finally, we divide 225 by 3375, which gives us 57.

Explanation
Rima has a number. The number is subtracted by two. The result of subtracting the number is then subtracted by the result of dividing 16 by 4, which is 4. So, the equation becomes (number - 2) - 4 = 14. By solving this equation, we can find that the number is 20.

Explanation
The given expression can be simplified using the order of operations. First, we need to divide -12 by -4, which gives us 3. Then, we multiply 3 by -3, resulting in -9. Finally, we add -5 to -9, giving us -14. Therefore, the value of n is -14.

Explanation
The given equation is solved using the order of operations, which states that multiplication and division should be performed before addition and subtraction. First, we calculate 25 multiplied by 15, which equals 375. Then, we divide 375 by 5, resulting in 75. Therefore, the value of n is 75.

Explanation
The given question states that the temperature in Malang is 26˚C and the temperature on the peak of Mount Semeru is -2˚C. To find the difference in temperature between the two places, we subtract the temperature of Mount Semeru from the temperature in Malang. Therefore, the difference in temperature is 26˚C - (-2˚C) = 28˚C.

Explanation
To solve this equation, we first perform the operations inside the parentheses, which is -25. Then, we divide the result by 5, which gives us -5. Finally, we subtract 10 from -5, resulting in -15. Therefore, the value of n is -15.

Explanation
The equation can be simplified as follows:
142 - (2 x -5) = 142 + (10) = 152. Therefore, the value of n is 152.

Explanation
The given expression involves multiplication and addition. According to the order of operations, we should perform the multiplication first. Multiplying 37 by -13 gives us -481. Then, we add -28 to -481, which gives us -509. Therefore, the correct answer is -509.

Explanation
Rara sudah menyelesaikan 2/5 x 40 = 16 soal pada kali pertama. Kemudian, sisa PR yang harus diselesaikan adalah 40 - 16 = 24 soal. Pada kali kedua, Rara menyelesaikan 1/2 x 24 = 12 soal. Jadi, sisa PR yang harus diselesaikan adalah 24 - 12 = 12 soal.

Explanation
The given question states that the distance between Tulungagung and Malang is 120 km. The scale of the map is 1:600,000. To find the distance between the two cities on the map, we need to multiply the actual distance by the scale. So, 120 km multiplied by 1/600,000 gives us 0.0002 cm. However, the options provided are in whole numbers, so we need to round the answer. Rounding 0.0002 cm to the nearest whole number gives us 0 cm. Therefore, the correct answer is 20 cm.

Explanation
The greatest common divisor (GCD) or the highest common factor (HCF) of 48, 64, and 80 is 16. This means that 16 is the largest number that divides evenly into all three given numbers.

Explanation
Pak Heru, Pak Wawan, and Pak Rudi swim together on January 15, 2019. Pak Heru swims every 10 days, Pak Wawan swims every 12 days, and Pak Rudi swims every 15 days at the same place. To find the next date when they will swim together, we need to find the least common multiple (LCM) of 10, 12, and 15. The LCM of these numbers is 60. Therefore, they will swim together again on March 16, 2019, which is 60 days after January 15, 2019.

Explanation
In order to make parcels with the same number and type of fruits in each basket, we need to find the greatest common divisor (GCD) of the given numbers of mangoes, apples, and oranges. The GCD of 24, 30, and 36 is 6. Therefore, we can divide each number by 6 to get the number of baskets with an equal number of fruits. So, the answer is 4 baskets with 6 mangoes, 5 baskets with 6 apples, and 6 baskets with 6 oranges.

Explanation
The given information states that there are 24 red balloons and a total of 40 balloons. To find the ratio of non-red balloons to red balloons, we subtract the number of red balloons from the total number of balloons: 40 - 24 = 16. Therefore, the ratio of non-red balloons to red balloons is 16:24, which simplifies to 2:3.

Explanation
The volume of the first cube is given in cm3, while the volume of the second cube is given in dm3. To compare the volumes, we need to convert the volume of the second cube from dm3 to cm3. Since 1 dm3 is equal to 1000 cm3, the volume of the second cube is 8 dm3 * 1000 cm3/dm3 = 8000 cm3. The total volume of the stacked cubes is 5.832 cm3 + 8000 cm3 = 8005.832 cm3. The height of the stacked cubes can be calculated by finding the cubic root of the total volume, which is approximately 20. Therefore, the correct answer is 20 cm.

Explanation
Ziah lahir pada tanggal 29 Januari 2019. Saat ia berumur 30 hari, hari itu jatuh pada tanggal 28 Februari 2019. Karena bulan Februari tidak memiliki 30 hari, maka hari ke-30 setelah tanggal 29 Januari akan jatuh pada tanggal sebelumnya yaitu 28 Februari.

Explanation
The total weight of the rice is 7 kg 5 ons. If the merchant is using 5 iron weights, then each weight must have the same weight. To find the weight of each weight, we divide the total weight of the rice by the number of weights used. Therefore, 7 kg 5 ons divided by 5 equals 1 kg 5 ons. Since there are 16 ons in 1 kg, the weight of each weight is 1 kg 5 ons or 15 ons.

Explanation
The total weight of the groceries purchased by the mother can be calculated by converting the given weights into the same unit. The weight of the cooking oil is already given in kilograms, so it remains the same. The weight of rice is given in quintals, and 1 quintal is equal to 100 kilograms. Therefore, the weight of rice is 0.8 x 100 = 80 kilograms. The weight of flour is given in ounces, and 1 ounce is equal to 0.028 kilograms. Therefore, the weight of flour is 35 x 0.028 = 0.98 kilograms. Adding these weights together, the total weight of the groceries is 3 + 80 + 0.98 = 83.98 kilograms. Rounding this to one decimal place, we get 83.9 kilograms, which is equivalent to 86.5 kilograms.

Explanation
A shape that has four equal angles, four lines of symmetry, and four equal sides is a square.

Explanation
The total number of shirts ordered in the first order is 50 kodi, which is equal to 50 x 20 = 1000 shirts. The total number of shirts ordered in the second order is 29 lusin, which is equal to 29 x 12 = 348 shirts. Therefore, the total number of shirts ordered is 1000 + 348 = 1348 shirts. Since 750 shirts have already been delivered, the remaining shirts that have not been delivered are 1348 - 750 = 598 shirts.

Explanation
The total amount of flour bought by Ka Muria is 5 1/2 kg + 3 1/4 kg = 8 3/4 kg. The amount of flour used to make the cake is 6 1/3 kg. To find the remaining flour, we need to subtract the amount used from the total amount bought: 8 3/4 kg - 6 1/3 kg = 2 5/12 kg. Therefore, the correct answer is 2 5/12 kg.

Explanation
The correct order of the given fractions and percentages from smallest to largest is 15% ; 0,3 ; 2/5 ; 1 1/4.

Explanation
The figure is formed by a square with a semicircle cut out of it. To find the area of the shaded region, we need to subtract the area of the semicircle from the area of the square. The area of the square can be found by multiplying the length of one side by itself. The area of the semicircle can be found by dividing the area of a full circle by 2. By subtracting the area of the semicircle from the area of the square, we get the area of the shaded region as 1.071 cm2.

Explanation
The given question asks for the area of a shape that is shaded using the value of p as 22/7. The correct answer is 231.0 cm2. However, without any information about the shape or any measurements given, it is not possible to determine the exact method used to calculate the area. Therefore, the explanation for the correct answer is not available.