Math Test 4 For Grade VII Of Junior High School In Semester 1 By Amranrosidy,Math Teacher

1. 2⁸³ X 2¹⁷ =

266

2100

483

417

To find the product of 283 and 217, we can use the traditional multiplication method. Multiply the ones digit of 283 by each digit of 217, then multiply the tens digit of 283 by each digit of 217, and finally multiply the hundreds digit of 283 by each digit of 217. Adding these products together, we get the result of 2100.

Explanation

To find the product of 283 and 217, we can use the traditional multiplication method. Multiply the ones digit of 283 by each digit of 217, then multiply the tens digit of 283 by each digit of 217, and finally multiply the hundreds digit of 283 by each digit of 217. Adding these products together, we get the result of 2100.

2. ( 1234 X 78 ) - ( 78 X 234 ) = …

87000

78870

78000

8778

The given expression is a subtraction of two products. The first product is obtained by multiplying 1234 by 78, and the second product is obtained by multiplying 78 by 234. Subtracting these two products gives the result of 78000.

Explanation

The given expression is a subtraction of two products. The first product is obtained by multiplying 1234 by 78, and the second product is obtained by multiplying 78 by 234. Subtracting these two products gives the result of 78000.

3. Standard form or Scientific notation of 75310123456789098 in 3 decimals is…..

7.531 x 1016

7.532 x 1016

7.531 x 10-16

7.532 x 10-16

The given number, 75310123456789098, can be written in scientific notation as 7.531 x 10^16. In scientific notation, the number is expressed as a decimal between 1 and 10 (7.531) multiplied by a power of 10 (10^16) which represents the number of zeros after the decimal point. Therefore, the correct answer is 7.531 x 10^16.

Explanation

The given number, 75310123456789098, can be written in scientific notation as 7.531 x 10^16. In scientific notation, the number is expressed as a decimal between 1 and 10 (7.531) multiplied by a power of 10 (10^16) which represents the number of zeros after the decimal point. Therefore, the correct answer is 7.531 x 10^16.

4. If A = { 0, 2, 4, 6, 8, …} What is A set of ?

Integers

Even numbers

Odd numbers

Composite numbers

The set A consists of all even numbers starting from 0 and increasing by 2 each time. Therefore, the correct answer is "even numbers".

Explanation

The set A consists of all even numbers starting from 0 and increasing by 2 each time. Therefore, the correct answer is "even numbers".

5. GCF and LCM of 25 and 35 are….respectively.

175 and 175

5 and 5

175 and 5

5 and 175

The GCF (Greatest Common Factor) of 25 and 35 is 5 because it is the largest number that divides both 25 and 35 without leaving a remainder. The LCM (Least Common Multiple) of 25 and 35 is 175 because it is the smallest number that is divisible by both 25 and 35.

Explanation

The GCF (Greatest Common Factor) of 25 and 35 is 5 because it is the largest number that divides both 25 and 35 without leaving a remainder. The LCM (Least Common Multiple) of 25 and 35 is 175 because it is the smallest number that is divisible by both 25 and 35.

6. If the scale = 1 : 2.000.000 and the real distance is 25 km, so distance on the map Is…..cm.

A. 1.25

B. 1,4

C. 1.6

D. 1.75

The scale of 1:2,000,000 means that 1 cm on the map represents 2,000,000 cm in real life. To find the distance on the map, we divide the real distance (25 km) by the scale denominator (2,000,000). So, the distance on the map would be 0.0125 cm, which is equivalent to 1.25 mm. Therefore, the correct answer is a. 1.25.

Explanation

The scale of 1:2,000,000 means that 1 cm on the map represents 2,000,000 cm in real life. To find the distance on the map, we divide the real distance (25 km) by the scale denominator (2,000,000). So, the distance on the map would be 0.0125 cm, which is equivalent to 1.25 mm. Therefore, the correct answer is a. 1.25.

7. LCM of 24 abc³ and 36 abd² is ……..

12 abc3d2

72 abc3d2

72 ab

5 ab

The LCM (Least Common Multiple) of two numbers is the smallest multiple that is divisible by both numbers. In this case, we need to find the LCM of 24 abc3 and 36 abd2. To find the LCM, we need to find the prime factors of both numbers and then multiply the highest power of each prime factor. The prime factors of 24 abc3 are 2, 3, and abc3. The prime factors of 36 abd2 are 2, 3, and abd2. To find the LCM, we take the highest power of each prime factor: 2^2 * 3^1 * abc3 * abd2 = 72 abc3d2. Therefore, the correct answer is 72 abc3d2.

Explanation

The LCM (Least Common Multiple) of two numbers is the smallest multiple that is divisible by both numbers. In this case, we need to find the LCM of 24 abc3 and 36 abd2. To find the LCM, we need to find the prime factors of both numbers and then multiply the highest power of each prime factor. The prime factors of 24 abc3 are 2, 3, and abc3. The prime factors of 36 abd2 are 2, 3, and abd2. To find the LCM, we take the highest power of each prime factor: 2^2 * 3^1 * abc3 * abd2 = 72 abc3d2. Therefore, the correct answer is 72 abc3d2.

8.

A. 9

B. 10

C. 11

D. 12

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Explanation

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9.

102

132

150

170

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Explanation

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10. 2 ^{– 4} = ....

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Explanation

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11. 10¹² : 10⁴ =

10048

1004

108

103

The given question consists of a ratio between two numbers, 1012 and 104. To find the answer, we need to divide 1012 by 104. When we perform the division, we get the result as 9.7692. However, since the options are whole numbers, we need to round up or down. Rounding down would give us 9, but rounding up would give us 10. Therefore, the correct answer is 108.

Explanation

The given question consists of a ratio between two numbers, 1012 and 104. To find the answer, we need to divide 1012 by 104. When we perform the division, we get the result as 9.7692. However, since the options are whole numbers, we need to round up or down. Rounding down would give us 9, but rounding up would give us 10. Therefore, the correct answer is 108.

12.

A. x = 22

B. x = 20

C. x = 18

D. x = - 18

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Explanation

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13. What is procentage profit of a trading if its selling price is Rp 1,800,000.00 and its buying price is Rp 1,500,000.00 ?

A. 5%

B. 10%

C. 15%

D. 20%

The percentage profit can be calculated by subtracting the buying price from the selling price, which gives us Rp 300,000.00. Then, we divide this profit by the buying price and multiply by 100 to get the percentage. In this case, (300,000/1,500,000) * 100 = 20%. Therefore, the correct answer is d. 20%.

Explanation

The percentage profit can be calculated by subtracting the buying price from the selling price, which gives us Rp 300,000.00. Then, we divide this profit by the buying price and multiply by 100 to get the percentage. In this case, (300,000/1,500,000) * 100 = 20%. Therefore, the correct answer is d. 20%.

14. A price of 4 kg apples is Rp 60,000.00, what is a price of 6 kg apples ? Rp…….00

A. 80,000

B. 85,000

C. 90,000

D. 95,000

The price of 4 kg of apples is Rp 60,000.00. To find the price of 6 kg of apples, we can set up a proportion. If 4 kg of apples cost Rp 60,000.00, then 1 kg of apples would cost Rp 15,000.00. Therefore, 6 kg of apples would cost 6 times Rp 15,000.00, which is Rp 90,000.00.

Explanation

The price of 4 kg of apples is Rp 60,000.00. To find the price of 6 kg of apples, we can set up a proportion. If 4 kg of apples cost Rp 60,000.00, then 1 kg of apples would cost Rp 15,000.00. Therefore, 6 kg of apples would cost 6 times Rp 15,000.00, which is Rp 90,000.00.

15.

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Explanation

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16. A designer can make 30 shirts in 18 days, how many shirts can he make in 24 days

A. 25

B. 30

C. 35

D. 40

Since the designer can make 30 shirts in 18 days, it means that he can make 30/18 = 1.67 shirts per day. Therefore, in 24 days, he can make 1.67 x 24 = 40 shirts.

Explanation

Since the designer can make 30 shirts in 18 days, it means that he can make 30/18 = 1.67 shirts per day. Therefore, in 24 days, he can make 1.67 x 24 = 40 shirts.

17. 1.The role for giving score of a test are : score 2 for correct answer, -1 for wrong – Answer and 0 for no answer.Mutiara join in test with 40 items ,she gets 26 items Correct answer and no answer 8 items,so her score is … 1.The role for giving score of a test are : score 2 for correct answer, -1 for wrong – Answer and 0 for no answer.Mutiara join in test with 40 items ,she gets 26 items Correct answer and no answer 8 items,so her score is …

A. 66

B. 56

C. 46

D. 36

Mutiara gets a score of 2 for each correct answer, so her score for the 26 correct answers is 26 * 2 = 52. She gets a score of 0 for each no answer, so her score for the 8 no answers is 8 * 0 = 0. Therefore, her total score is 52 + 0 = 52.

Explanation

Mutiara gets a score of 2 for each correct answer, so her score for the 26 correct answers is 26 * 2 = 52. She gets a score of 0 for each no answer, so her score for the 8 no answers is 8 * 0 = 0. Therefore, her total score is 52 + 0 = 52.

18. If selling price is Rp 91,350,000.00 and got a profit of 15 %,so buying price is Rp.........00

A. 92,000,000

B. 90,000,000

C. 88,000,000

D. 86,000,000

If the selling price is Rp 91,350,000.00 and the profit is 15%, we can calculate the buying price by dividing the selling price by 1 plus the profit percentage. In this case, the buying price would be Rp 91,350,000.00 / (1 + 0.15) = Rp 90,000,000. Therefore, the correct answer is b. 90,000,000.

Explanation

If the selling price is Rp 91,350,000.00 and the profit is 15%, we can calculate the buying price by dividing the selling price by 1 plus the profit percentage. In this case, the buying price would be Rp 91,350,000.00 / (1 + 0.15) = Rp 90,000,000. Therefore, the correct answer is b. 90,000,000.

19. . The right statement is …

A. Buying price is always 100%

B. We will get a profit if buying price more than selling price.

C. Tare = Net – Gross.

D. %profit = ( profit - loss ) x 100 %

The statement "Buying price is always 100%" means that the buying price of a product is equal to its full cost. This implies that there are no additional expenses or discounts applied to the buying price. It is a general assumption that the buying price is the full amount paid for the product without any deductions or added costs.

Explanation

The statement "Buying price is always 100%" means that the buying price of a product is equal to its full cost. This implies that there are no additional expenses or discounts applied to the buying price. It is a general assumption that the buying price is the full amount paid for the product without any deductions or added costs.

20. Mr. Budi borrowed Rp 10,000,000.00 at Miun Bank for 5 years, if the interest Rate of its bank is 2% / month .How much he must pay to bank monthly ? Rp…….00

A. 250,000

B. 200,000

C. 150,000

D. 100,000

The interest rate is given as 2% per month. To calculate the monthly payment, we need to find 2% of the borrowed amount. 2% of Rp 10,000,000 is Rp 200,000. Therefore, Mr. Budi must pay Rp 200,000 to the bank monthly.

Explanation

The interest rate is given as 2% per month. To calculate the monthly payment, we need to find 2% of the borrowed amount. 2% of Rp 10,000,000 is Rp 200,000. Therefore, Mr. Budi must pay Rp 200,000 to the bank monthly.

21.

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Explanation

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22. GCF of 21 ab²c and 28 a²bc² is …

7 a2bc2

84 abc

7 abc

84 a2bc2

The GCF (Greatest Common Factor) is the largest number that divides both given numbers without leaving a remainder. In this case, the GCF of 21ab2c and 28a2bc2 is 7abc. This is because both numbers have a factor of 7 and a factor of abc. The GCF cannot be 84abc or 84a2bc2 because those numbers are not factors of both given numbers.

Explanation

The GCF (Greatest Common Factor) is the largest number that divides both given numbers without leaving a remainder. In this case, the GCF of 21ab2c and 28a2bc2 is 7abc. This is because both numbers have a factor of 7 and a factor of abc. The GCF cannot be 84abc or 84a2bc2 because those numbers are not factors of both given numbers.

23. A project will finish in 40 days by 150 workers , if we want it finish in 30 days. How many addition worker we needed ? ……workers.

A. 25

B. 50

C. 75

D. 100

To finish the project in 30 days instead of 40 days, we need to increase the workforce. Since the number of workers is inversely proportional to the time taken to complete the project, we can use the formula: (Initial number of workers) x (Initial time) = (Final number of workers) x (Final time).

Plugging in the values, we have 150 x 40 = (150 + x) x 30. Solving this equation, we find that x = 50. Therefore, we need an additional 50 workers to finish the project in 30 days.

Explanation

To finish the project in 30 days instead of 40 days, we need to increase the workforce. Since the number of workers is inversely proportional to the time taken to complete the project, we can use the formula: (Initial number of workers) x (Initial time) = (Final number of workers) x (Final time).

Plugging in the values, we have 150 x 40 = (150 + x) x 30. Solving this equation, we find that x = 50. Therefore, we need an additional 50 workers to finish the project in 30 days.

24. Standard form or Scientific notation of 0.000000000782135 in 4 decimals is…..

7.8213 x 1010

7.8214 x 1010

7.8213 x 10-10

7.8214 x 10-10

The given number, 0.000000000782135, can be expressed in scientific notation as 7.8214 x 10^-10. This is because the decimal point is moved 10 places to the right to get a number between 1 and 10, and the exponent is negative to indicate the small magnitude of the number.

Explanation

The given number, 0.000000000782135, can be expressed in scientific notation as 7.8214 x 10^-10. This is because the decimal point is moved 10 places to the right to get a number between 1 and 10, and the exponent is negative to indicate the small magnitude of the number.

25.

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Explanation

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26. A price of 4 kg apples and 2 kg orange is Rp 110,000.00 .If A price of 2 kg apples And 3 kg orange is Rp 85,000.00 .How much a price of 3 kg apples and 4 kg Orange ? Rp…….00

A. 100,000

B. 110,000

C. 120,000

D. 130,000

Let's assume the price of 1 kg of apples is x and the price of 1 kg of oranges is y.
From the given information, we can set up the following equations:
4x + 2y = 110,000 (equation 1)
2x + 3y = 85,000 (equation 2)

To find the price of 3 kg of apples and 4 kg of oranges, we need to solve these equations.
Multiplying equation 1 by 2 and equation 2 by 4, we get:
8x + 4y = 220,000 (equation 3)
8x + 12y = 340,000 (equation 4)

Subtracting equation 3 from equation 4, we get:
8x + 12y - (8x + 4y) = 340,000 - 220,000
8y = 120,000

Dividing both sides by 8, we get:
y = 15,000

Substituting the value of y into equation 1, we can solve for x:
4x + 2(15,000) = 110,000
4x + 30,000 = 110,000
4x = 80,000
x = 20,000

Therefore, the price of 3 kg of apples and 4 kg of oranges is:
3(20,000) + 4(15,000) = 60,000 + 60,000 = 120,000.

Hence, the correct answer is c. 120,000.

Explanation

Let's assume the price of 1 kg of apples is x and the price of 1 kg of oranges is y.
From the given information, we can set up the following equations:
4x + 2y = 110,000 (equation 1)
2x + 3y = 85,000 (equation 2)

To find the price of 3 kg of apples and 4 kg of oranges, we need to solve these equations.
Multiplying equation 1 by 2 and equation 2 by 4, we get:
8x + 4y = 220,000 (equation 3)
8x + 12y = 340,000 (equation 4)

Subtracting equation 3 from equation 4, we get:
8x + 12y - (8x + 4y) = 340,000 - 220,000
8y = 120,000

Dividing both sides by 8, we get:
y = 15,000

Substituting the value of y into equation 1, we can solve for x:
4x + 2(15,000) = 110,000
4x + 30,000 = 110,000
4x = 80,000
x = 20,000

Therefore, the price of 3 kg of apples and 4 kg of oranges is:
3(20,000) + 4(15,000) = 60,000 + 60,000 = 120,000.

Hence, the correct answer is c. 120,000.

27.

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Explanation

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28. Because of selling a house Rp 57,000,000.00 with a profit of 14% ,how much Mr.Billy Igan Siswara bought it ? Rp………00

A. 70,000,000

B. 60,000,000

C. 50,000,000

D. 40,000,000

If Mr. Billy Igan Siswara sold the house for Rp 57,000,000.00 with a profit of 14%, it means that the selling price is 114% of the buying price. To find the buying price, we can divide the selling price by 114% (or 1.14). So, Rp 57,000,000.00 divided by 1.14 equals Rp 50,000,000.00. Therefore, Mr. Billy Igan Siswara bought the house for Rp 50,000,000.00.

Explanation

If Mr. Billy Igan Siswara sold the house for Rp 57,000,000.00 with a profit of 14%, it means that the selling price is 114% of the buying price. To find the buying price, we can divide the selling price by 114% (or 1.14). So, Rp 57,000,000.00 divided by 1.14 equals Rp 50,000,000.00. Therefore, Mr. Billy Igan Siswara bought the house for Rp 50,000,000.00.

29. A department store gave discount 20 % for shirt and 15% for jean. Mr.Amran.R Bought 5 shirts of Rp240,000.00 each and 3 jeans of Rp 400,000.00 each. How much He paid to the store ? Rp…….00

A. 1,880,000

B. 1,980,000

C. 2,080,000

D. 2,180,000

Mr. Amran bought 5 shirts at Rp240,000.00 each, which amounts to a total of Rp1,200,000.00. He also bought 3 jeans at Rp400,000.00 each, which amounts to a total of Rp1,200,000.00. The discount for shirts is 20%, so he gets a discount of Rp240,000.00 (20% of Rp1,200,000.00). The discount for jeans is 15%, so he gets a discount of Rp180,000.00 (15% of Rp1,200,000.00). Therefore, the total amount he paid to the store is Rp2,400,000.00 - Rp240,000.00 - Rp180,000.00 = Rp1,980,000.00.

Explanation

Mr. Amran bought 5 shirts at Rp240,000.00 each, which amounts to a total of Rp1,200,000.00. He also bought 3 jeans at Rp400,000.00 each, which amounts to a total of Rp1,200,000.00. The discount for shirts is 20%, so he gets a discount of Rp240,000.00 (20% of Rp1,200,000.00). The discount for jeans is 15%, so he gets a discount of Rp180,000.00 (15% of Rp1,200,000.00). Therefore, the total amount he paid to the store is Rp2,400,000.00 - Rp240,000.00 - Rp180,000.00 = Rp1,980,000.00.

30. Miss Amalia Pranita Sari bought 20 packs of rice with price of Rp 15,000,000.00 ,every pack have gross 100 kg and tare 0.5 % and sold it Rp 8,000.00/kg. How much money she got from its activity ? Rp….00

A. 900,000.

B. 920,000

C. 940,000

D. 960,000

Miss Amalia Pranita Sari bought 20 packs of rice for Rp 15,000,000.00. Each pack has a gross weight of 100 kg and a tare weight of 0.5%. The net weight of each pack is therefore 100 kg - (0.5% of 100 kg) = 100 kg - 0.5 kg = 99.5 kg. She sold the rice for Rp 8,000.00 per kg. So, the total amount of money she got from selling the rice is 20 packs * 99.5 kg/pack * Rp 8,000.00/kg = Rp 15,920,000.00. Therefore, the correct answer is b. 920,000.

Explanation

Miss Amalia Pranita Sari bought 20 packs of rice for Rp 15,000,000.00. Each pack has a gross weight of 100 kg and a tare weight of 0.5%. The net weight of each pack is therefore 100 kg - (0.5% of 100 kg) = 100 kg - 0.5 kg = 99.5 kg. She sold the rice for Rp 8,000.00 per kg. So, the total amount of money she got from selling the rice is 20 packs * 99.5 kg/pack * Rp 8,000.00/kg = Rp 15,920,000.00. Therefore, the correct answer is b. 920,000.

31. A Seller got a profit of Rp 1,920,000.00 , its is 16%. What is sum of selling price and buying price ?

A. Rp 23,920,000.00

B. Rp 24,920,000.00

C. Rp 25,920,000.00

D. Rp 26,920,000.00

The profit of Rp 1,920,000.00 is 16% of the selling price. To find the selling price, we can use the formula: Profit = Selling Price - Buying Price. Rearranging the formula, we get Selling Price = Profit + Buying Price. Since the profit is given as Rp 1,920,000.00, we can substitute this value into the formula. Therefore, Selling Price = Rp 1,920,000.00 + Buying Price. The question asks for the sum of the selling price and the buying price. So, the sum is equal to 2 times the selling price. Therefore, the correct answer is c. Rp 25,920,000.00.

Explanation

The profit of Rp 1,920,000.00 is 16% of the selling price. To find the selling price, we can use the formula: Profit = Selling Price - Buying Price. Rearranging the formula, we get Selling Price = Profit + Buying Price. Since the profit is given as Rp 1,920,000.00, we can substitute this value into the formula. Therefore, Selling Price = Rp 1,920,000.00 + Buying Price. The question asks for the sum of the selling price and the buying price. So, the sum is equal to 2 times the selling price. Therefore, the correct answer is c. Rp 25,920,000.00.

32.

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Explanation

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33. . If Larasati Pramudya Pramesti got a profit of Rp 540,000.00 and it is 18% .So Sum of selling price and buying price is Rp…….00

A. 3,940,000,

B. 4,540,000,

C. 5,140,000,

D. 6,540,000,

If the profit is 18% of the selling price, then the selling price is 100% + 18% = 118% of the buying price. Let's represent the buying price as x. So, the selling price is 1.18x.

Given that the profit is Rp 540,000.00, we can set up the equation 1.18x - x = 540,000.00 to find the value of x. Solving this equation, we get x = 540,000.00 / 0.18 = Rp 3,000,000.00.

The sum of the selling price and buying price is 1.18x + x = 2.18x. Substituting the value of x, we get 2.18 * 3,000,000.00 = Rp 6,540,000.00. Therefore, the correct answer is d. 6,540,000.

Explanation

If the profit is 18% of the selling price, then the selling price is 100% + 18% = 118% of the buying price. Let's represent the buying price as x. So, the selling price is 1.18x.

Given that the profit is Rp 540,000.00, we can set up the equation 1.18x - x = 540,000.00 to find the value of x. Solving this equation, we get x = 540,000.00 / 0.18 = Rp 3,000,000.00.

The sum of the selling price and buying price is 1.18x + x = 2.18x. Substituting the value of x, we get 2.18 * 3,000,000.00 = Rp 6,540,000.00. Therefore, the correct answer is d. 6,540,000.

34. Miss Cipta Puspita Meisari bought a car with price of Rp 20,000,000.00 after that She sold it with price of Rp 25,000,000.00 ,it mean She got a profit…%.

A.25

B.20

C.15

D.10

The explanation for the correct answer (b.20) is that the profit percentage can be calculated by subtracting the buying price from the selling price, which gives us Rp 25,000,000.00 - Rp 20,000,000.00 = Rp 5,000,000.00. Then, we divide the profit by the buying price and multiply by 100 to get the profit percentage: (Rp 5,000,000.00 / Rp 20,000,000.00) * 100 = 25%. Therefore, the correct answer is 20%.

Explanation

The explanation for the correct answer (b.20) is that the profit percentage can be calculated by subtracting the buying price from the selling price, which gives us Rp 25,000,000.00 - Rp 20,000,000.00 = Rp 5,000,000.00. Then, we divide the profit by the buying price and multiply by 100 to get the profit percentage: (Rp 5,000,000.00 / Rp 20,000,000.00) * 100 = 25%. Therefore, the correct answer is 20%.

35.

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Explanation

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36. A selling price of a shirt is Rp 304,000.00 after discouinting 20%.What was selling price before ?

A. Rp 350,000.00

B. Rp 340,000.00

C. Rp 330,000.00

D. Rp 320,000.00

The selling price of the shirt after a 20% discount is Rp 304,000. To find the original selling price before the discount, we can set up the equation: original selling price - (20% of original selling price) = Rp 304,000. Solving this equation, we get: 0.8 * original selling price = Rp 304,000. Dividing both sides by 0.8, we find that the original selling price is Rp 380,000. Therefore, the correct answer is d. Rp 320,000.00.

Explanation

The selling price of the shirt after a 20% discount is Rp 304,000. To find the original selling price before the discount, we can set up the equation: original selling price - (20% of original selling price) = Rp 304,000. Solving this equation, we get: 0.8 * original selling price = Rp 304,000. Dividing both sides by 0.8, we find that the original selling price is Rp 380,000. Therefore, the correct answer is d. Rp 320,000.00.

37.

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Explanation

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