Percentage is a relatively difficult lesson in 5th grade math. Therefore, in this article Trường THPT Trần Hưng Đạo will help you understand the theory and how to solve 5th grade maths with percentages. Teachers and students’ parents can also refer to this article to guide children to learn more easily.
5th grade math percentage theory
To solve the 5th grade math problems with percentages, you first need to understand what percentage theory is? What 5 billion percentage operations are there? These important knowledge Trường THPT Trần Hưng Đạo will make it clear for you to understand right away:
Grade 5 . percentage math
A percentage is a ratio of two numbers where we will reduce the denominator of the ratio to 100. Percentages are often used to express the relative size of one quantity relative to another.
1/100 can be written as 1% , or 1/100 = 1% ;
15/100 can be written as 15% , or 15/100 = 15% ;….
In general, a/100 can be written as a%, or a/100 = a%.
The percent symbol is: %
To better understand the definition of 5th grade math percentage, we will learn more about 2 examples in 5th grade math textbook on pages 73 and 74.
Grade 5 . percentage calculations
Grade 5 percentage problem includes 4 basic operations: addition (+), subtraction (-), multiplication (x), division (:). Specifically:
Addition: a% + b% = (a + b)%
Subtraction: a% – b% = (a – b)%
Multiply a percentage by a number: a% xb = (axb)%
Percentage division by a number: a% : b = (a : b)%
Example: Calculate
a) 20% + 8%
b) 68% – 32%
c) 14% x 4
d) 48% : 4
Grade 5 . percentage math formulas
Through the above theory, they have helped them understand what percentage is. Besides, they also need to understand the maths of percentages in grade 5 to be able to solve the exercises in textbooks, workbooks or important exam questions.
Below is a summary of 5th grade math problems with percentages and instructions on how to solve them. You need to read carefully to understand the lesson.
Type 1: Math problems on addition, subtraction, multiplication and division of percentages
In the theory section of the 5th grade math textbook above, Trường THPT Trần Hưng Đạo has clearly stated the calculations about percentages and specific examples. This is also the most common type of exercise that you need to pay attention to.
To solve grade 5 percentage problems in the form of addition, subtraction, multiplication, and division of this percentage, we need to do the same as for natural numbers, then write the percent sign (%) in to the right of the calculated result.
Example: Calculate
a) 20% + 8%
b) 68% – 32%
c) 14% x 4
d) 48% : 4
Assignment
a) 20% + 8% = 28%
b) 68% – 32% =36%
c) 14% x 4 = 56%
d) 48% : 4 = 12%
Form 2: Find the percentage of two numbers
To solve the 5th grade math problem to find the percentage of number A to number B, divide A by number B and then multiply by 100.
Formula: A : B x 100 = D%
In there:
A is the number mentioned first.
B is the number mentioned later.
D is the percentage.
Example: Grade 4 of an elementary school has 200 students, of which 80 are boys.
a) Calculate the ratio of the number of female students to the number of grade 4 students.
b) Calculate the ratio of the number of male students to the number of grade 4 students.
Assignment
The number of girls in grade 4 is:
200 – 80 = 120 (students)
a) The ratio of the number of girls to the number of students in grade 4 is:
120 : 200 x 100 = 60%
b) The ratio of the number of boys to the number of students in grade 4 is:
80 : 200 x 100 = 40%
Answer: a) 60%; b) 40%
Form 3: Find the percentage value of a number
The 5th grade percentage formula is as follows: To find the percentage value of a number, divide that number by 100 and multiply by the percentage, or multiply that number by the percentage and then divide by 100.
Example of grade 5 percentage problem:
Class 5A has 50 students, of which 60% are girls. What is the number of female students in the class?
Assignment
The number of girls in class 5A is:
50 x 65 : 100 = 30 (students)
Answer: 26 students
Form 4: Find a number when the percentage value of that number is known
How to solve percentage problems for grade 5 to find a number when the percentage value of that number is known is as follows: Divide that value by the percentage and then multiply by 100 or multiply that value by 100 and then divide by the number of parts hundred.
Example: A milk bottle has 4.5% butter, given that the weight of butter in the milk bottle is 18g. Calculate the amount of milk in a bottle.
Assignment
The amount of milk in the bottle is:
18 : 4.5 x 100 = 400 (g)
Answer: 400g.
Form 5: The problem of calculating interest, calculating capital
This type of percentage problem 5th grade is often applied in the field of buying and selling. When you encounter this type of exercise, you need to memorize the following 5th grade math formulas to calculate basic percentages:
Selling price = cost + interest
Cost price = selling price – interest rate
Interest rate = selling price – cost price
Selling price = cost price – loss
Example 1: A bicycle costs 2,000,000 VND, now 20% off. What is the price of this bike now?
Assignment
Assuming the original price of the bike is 100%, after the discount is reduced to:
100% – 20% = 80%
The current price of the bike is:
2000000 x 80 : 100 = 1600000 (VND)
Answer: 1600000 VND
Form 6: The problem returns to the familiar math form
For this form of 5th grade math with percentages, we need to return to the familiar exercise format to make it easier to find the answer.
Example: The sum of two numbers is 25% the quotient of those two numbers is also 25%. Find two of them.
Assignment
25% = 0.25
The first number is: 0.25 : (1+4) = 0.05
The second number is: 0.25 – 0.05 = 0.2
Answer: 0.05 and 0.2
Some 5th grade math exercises with percentages for you to practice
After you have mastered the content of the 5th grade math lesson with percentages, you should regularly solve the exercises to reinforce your knowledge and skills. Here is a collection of 5th grade percentage problems for students to practice on their own:
<img class="aligncenter" class="lazyload" src="https://monkeymedia.vcdn.com.vn/upload/web/img/6-toan-ti-so-phan-tram-lop-5.jpg" alt="Some 5th grade percentage problems for children to practice. (Photo: Trường THPT Trần Hưng Đạo)” >
Lesson 1: A product has been reduced in price by 20%. If you want to sell that product at the original price, how much more must the price increase?
Lesson 2: A cloth after washing will shrink 2% of its original length. After washing the cloth, only 24.5m left. How many meters long is the fabric before washing?
Lesson 3: The teacher distributes apples to the students. If each child has 9 balls, then 9 balls are missing. If you divide each other by 10, you will be missing 25% of the original number of apples. Calculate the number of apples she divided and the number of students who divided the apples.
Lesson 4: A construction contractor accepted to build a house at a cost of 360 000 000 VND but the owner asked for a reduction of 2.5%, the contractor agreed. Calculate the amount the contractor received to build the house?
Lesson 5: Sea water contains 4% salt. How many grams of water need to be added to 400 grams of seawater so that the salt in the solution is 2%?
Lesson 6: A person sells eggs: 50% of the eggs are sold in the morning, and 20% of the remaining eggs are sold in the afternoon. Then that person sold another 40 fruit. In the evening, that person found that the number of eggs brought back was 120% of the eggs taken away. Ask him how many eggs he brought?
Lesson 7: A class has 25% good students, 55% good students, the rest are average students. Calculate the number of students in that class knowing the average number of students is 5?
Lesson 8: Calculate the age of two brothers knowing that 62.5% of the older brother’s age is 2 years older than the younger brother’s age, and 50% of his age is 7 years older than the younger brother’s age.
Lesson 9: The amount of salt contained in sea water is 5%. How many kilograms of water must be added to 200kg of seawater to get a solution containing 2% salt?
Lesson 10: The amount of water in fresh grass is 55%, in dry grass it is 10%. How many kilograms of dry grass can we get when drying 100 kg of fresh grass?
Lesson 11: On the occasion of March 26, a souvenir shop sells 10% off compared to weekdays. However, they still make a profit of 8% compared to the cost price. Ask them what percentage of their profit on weekdays compared to the cost price?
Lesson 12: In the school, 68% of students know Russian, 5% know both English and Russian. The rest only know English. What percentage of students in the school know English?
Lesson 13: A retailer buys a number of boxes of powdered milk for 24,000 VND/box. When paying, the owner has reduced to the shopper an amount equal to 12.5% of the price of a box. After that, he resells the milk for a profit equal to 33 1/3% of the cost price after reducing 20% of the listed price. How much is the listed price on a carton of milk?
Lesson 14: A fruit shop orders 4.5 tons of oranges for 18,000 VND per kilogram. Shipping fee is 1 600 000 VND. Assume 10% of the oranges are damaged in transit and all oranges are sold. Calculate how much each kg of oranges need to be sold to earn 8% profit?
Lesson 15: Dad bought 2 pairs of shoes for Tien, but they were both small, so Mom had to sell them 2 pairs of shoes. Each pair of shoes is sold for 300,000 VND. In which one pair sells for 20% more than the purchase price, the other pair sells for 20% less than the purchase price. Ask Tien’s mother how much profit or loss can she sell?
The full set of Trường THPT Trần Hưng Đạo learning applications helps children develop thinking and language, making it easier to learn Math – Vietnamese – English in class. |
Some notes to help children learn math in grade 5 with good percentages
The 5th grade math problem on percentages is not easy, but it’s not difficult either. Therefore, if they do not study properly, it will be very difficult for them to answer the 5th grade math problems with percentages. Here are some tips to help your child do well in grade 5 math with percentages to keep in mind such as:
Firmly grasp theoretical knowledge and how to calculate percentages in grade 5 math: As with any lesson, remembering and understanding the definition and calculation of the lesson will help students easily recognize the type of problem. practice more. From there, they will also solve the exercises more easily.
Working hard to practice advanced and basic 5th grade percentage problems to hone test-taking skills: Studying without practice will not bring good results. Regular practice of different types of exercises will help them memorize knowledge more deeply, and at the same time strengthen their good test-taking skills.
Combine learning with Trường THPT Trần Hưng Đạo Math application to consolidate knowledge of Math: This is an application that teaches math for preschool and primary school children under the new GDT program. The curriculum is methodically designed, with more than 60 topics, in 7 major math topics to help children master knowledge. Based on the age and learning level of each child, Trường THPT Trần Hưng Đạo Math divides lessons by level from easy to medium so that children can easily absorb. Moreover, this application also transmits knowledge in English language, so it not only helps children develop mathematical thinking but also develops language very well. Therefore, parents should choose the Trường THPT Trần Hưng Đạo Math application to help their children build a stronger foundation of math and foreign languages.
<img class="aligncenter" class="lazyload" src="https://monkeymedia.vcdn.com.vn/upload/web/img/7-toan-ti-so-phan-tram-lop-5.jpg" alt="Trường THPT Trần Hưng Đạo Math application helps children learn math well. (Photo: Trường THPT Trần Hưng Đạo)” >
Trường THPT Trần Hưng Đạo Math application introduction video.
Thus, through this article, Trường THPT Trần Hưng Đạo has helped them master math knowledge of grade 5 with percentages. In addition, parents should remind children to regularly follow the website monkey.edu.vn and learn the Trường THPT Trần Hưng Đạo Math application to learn more useful lessons.
Trường THPT Trần Hưng Đạo Math – The number 1 math teaching app for preschool and primary school children under the new GDPT program. Parents DOWNLOAD the APP and REGISTER LEARNING PACKAGE today so that your child can have early access to knowledge! |
See more:
- Teaching children to learn 4th grade math subtraction: Calculations and common types of exercises
- Teach your child to do 5th grade math the easiest division with remainder and without remainder
- The secret to helping children study well in grade 4 math with two parallel lines
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Percentage is a relatively difficult lesson in 5th grade math. Therefore, in this article Trường THPT Trần Hưng Đạo will help you understand the theory and how to solve 5th grade maths with percentages. Teachers and students' parents can also refer to this article to guide children to learn more easily.
5th grade math percentage theory
To solve the 5th grade math problems with percentages, you first need to understand what percentage theory is? What 5 billion percentage operations are there? These important knowledge Trường THPT Trần Hưng Đạo will make it clear for you to understand right away:
Grade 5 . percentage math
A percentage is a ratio of two numbers where we will reduce the denominator of the ratio to 100. Percentages are often used to express the relative size of one quantity relative to another.
1/100 can be written as 1% , or 1/100 = 1% ;
15/100 can be written as 15% , or 15/100 = 15% ;….
In general, a/100 can be written as a%, or a/100 = a%.
The percent symbol is: %
To better understand the definition of 5th grade math percentage, we will learn more about 2 examples in 5th grade math textbook on pages 73 and 74.
Grade 5 . percentage calculations
Grade 5 percentage problem includes 4 basic operations: addition (+), subtraction (-), multiplication (x), division (:). Specifically:
Addition: a% + b% = (a + b)%
Subtraction: a% - b% = (a - b)%
Multiply a percentage by a number: a% xb = (axb)%
Percentage division by a number: a% : b = (a : b)%
Example: Calculate
a) 20% + 8%
b) 68% - 32%
c) 14% x 4
d) 48% : 4
Grade 5 . percentage math formulas
Through the above theory, they have helped them understand what percentage is. Besides, they also need to understand the maths of percentages in grade 5 to be able to solve the exercises in textbooks, workbooks or important exam questions.
Below is a summary of 5th grade math problems with percentages and instructions on how to solve them. You need to read carefully to understand the lesson.
Type 1: Math problems on addition, subtraction, multiplication and division of percentages
In the theory section of the 5th grade math textbook above, Trường THPT Trần Hưng Đạo has clearly stated the calculations about percentages and specific examples. This is also the most common type of exercise that you need to pay attention to.
To solve grade 5 percentage problems in the form of addition, subtraction, multiplication, and division of this percentage, we need to do the same as for natural numbers, then write the percent sign (%) in to the right of the calculated result.
Example: Calculate
a) 20% + 8%
b) 68% - 32%
c) 14% x 4
d) 48% : 4
Assignment
a) 20% + 8% = 28%
b) 68% - 32% =36%
c) 14% x 4 = 56%
d) 48% : 4 = 12%
Form 2: Find the percentage of two numbers
To solve the 5th grade math problem to find the percentage of number A to number B, divide A by number B and then multiply by 100.
Formula: A : B x 100 = D%
In there:
A is the number mentioned first.
B is the number mentioned later.
D is the percentage.
Example: Grade 4 of an elementary school has 200 students, of which 80 are boys.
a) Calculate the ratio of the number of female students to the number of grade 4 students.
b) Calculate the ratio of the number of male students to the number of grade 4 students.
Assignment
The number of girls in grade 4 is:
200 – 80 = 120 (students)
a) The ratio of the number of girls to the number of students in grade 4 is:
120 : 200 x 100 = 60%
b) The ratio of the number of boys to the number of students in grade 4 is:
80 : 200 x 100 = 40%
Answer: a) 60%; b) 40%
Form 3: Find the percentage value of a number
The 5th grade percentage formula is as follows: To find the percentage value of a number, divide that number by 100 and multiply by the percentage, or multiply that number by the percentage and then divide by 100.
Example of grade 5 percentage problem:
Class 5A has 50 students, of which 60% are girls. What is the number of female students in the class?
Assignment
The number of girls in class 5A is:
50 x 65 : 100 = 30 (students)
Answer: 26 students
Form 4: Find a number when the percentage value of that number is known
How to solve percentage problems for grade 5 to find a number when the percentage value of that number is known is as follows: Divide that value by the percentage and then multiply by 100 or multiply that value by 100 and then divide by the number of parts hundred.
Example: A milk bottle has 4.5% butter, given that the weight of butter in the milk bottle is 18g. Calculate the amount of milk in a bottle.
Assignment
The amount of milk in the bottle is:
18 : 4.5 x 100 = 400 (g)
Answer: 400g.
Form 5: The problem of calculating interest, calculating capital
This type of percentage problem 5th grade is often applied in the field of buying and selling. When you encounter this type of exercise, you need to memorize the following 5th grade math formulas to calculate basic percentages:
Selling price = cost + interest
Cost price = selling price – interest rate
Interest rate = selling price – cost price
Selling price = cost price – loss
Example 1: A bicycle costs 2,000,000 VND, now 20% off. What is the price of this bike now?
Assignment
Assuming the original price of the bike is 100%, after the discount is reduced to:
100% - 20% = 80%
The current price of the bike is:
2000000 x 80 : 100 = 1600000 (VND)
Answer: 1600000 VND
Form 6: The problem returns to the familiar math form
For this form of 5th grade math with percentages, we need to return to the familiar exercise format to make it easier to find the answer.
Example: The sum of two numbers is 25% the quotient of those two numbers is also 25%. Find two of them.
Assignment
25% = 0.25
The first number is: 0.25 : (1+4) = 0.05
The second number is: 0.25 – 0.05 = 0.2
Answer: 0.05 and 0.2
Some 5th grade math exercises with percentages for you to practice
After you have mastered the content of the 5th grade math lesson with percentages, you should regularly solve the exercises to reinforce your knowledge and skills. Here is a collection of 5th grade percentage problems for students to practice on their own:
<img class="aligncenter" class="lazyload" src="https://monkeymedia.vcdn.com.vn/upload/web/img/6-toan-ti-so-phan-tram-lop-5.jpg" alt="Some 5th grade percentage problems for children to practice. (Photo: Trường THPT Trần Hưng Đạo)" >
Lesson 1: A product has been reduced in price by 20%. If you want to sell that product at the original price, how much more must the price increase?
Lesson 2: A cloth after washing will shrink 2% of its original length. After washing the cloth, only 24.5m left. How many meters long is the fabric before washing?
Lesson 3: The teacher distributes apples to the students. If each child has 9 balls, then 9 balls are missing. If you divide each other by 10, you will be missing 25% of the original number of apples. Calculate the number of apples she divided and the number of students who divided the apples.
Lesson 4: A construction contractor accepted to build a house at a cost of 360 000 000 VND but the owner asked for a reduction of 2.5%, the contractor agreed. Calculate the amount the contractor received to build the house?
Lesson 5: Sea water contains 4% salt. How many grams of water need to be added to 400 grams of seawater so that the salt in the solution is 2%?
Lesson 6: A person sells eggs: 50% of the eggs are sold in the morning, and 20% of the remaining eggs are sold in the afternoon. Then that person sold another 40 fruit. In the evening, that person found that the number of eggs brought back was 120% of the eggs taken away. Ask him how many eggs he brought?
Lesson 7: A class has 25% good students, 55% good students, the rest are average students. Calculate the number of students in that class knowing the average number of students is 5?
Lesson 8: Calculate the age of two brothers knowing that 62.5% of the older brother's age is 2 years older than the younger brother's age, and 50% of his age is 7 years older than the younger brother's age.
Lesson 9: The amount of salt contained in sea water is 5%. How many kilograms of water must be added to 200kg of seawater to get a solution containing 2% salt?
Lesson 10: The amount of water in fresh grass is 55%, in dry grass it is 10%. How many kilograms of dry grass can we get when drying 100 kg of fresh grass?
Lesson 11: On the occasion of March 26, a souvenir shop sells 10% off compared to weekdays. However, they still make a profit of 8% compared to the cost price. Ask them what percentage of their profit on weekdays compared to the cost price?
Lesson 12: In the school, 68% of students know Russian, 5% know both English and Russian. The rest only know English. What percentage of students in the school know English?
Lesson 13: A retailer buys a number of boxes of powdered milk for 24,000 VND/box. When paying, the owner has reduced to the shopper an amount equal to 12.5% of the price of a box. After that, he resells the milk for a profit equal to 33 1/3% of the cost price after reducing 20% of the listed price. How much is the listed price on a carton of milk?
Lesson 14: A fruit shop orders 4.5 tons of oranges for 18,000 VND per kilogram. Shipping fee is 1 600 000 VND. Assume 10% of the oranges are damaged in transit and all oranges are sold. Calculate how much each kg of oranges need to be sold to earn 8% profit?
Lesson 15: Dad bought 2 pairs of shoes for Tien, but they were both small, so Mom had to sell them 2 pairs of shoes. Each pair of shoes is sold for 300,000 VND. In which one pair sells for 20% more than the purchase price, the other pair sells for 20% less than the purchase price. Ask Tien's mother how much profit or loss can she sell?
The full set of Trường THPT Trần Hưng Đạo learning applications helps children develop thinking and language, making it easier to learn Math - Vietnamese - English in class. |
Some notes to help children learn math in grade 5 with good percentages
The 5th grade math problem on percentages is not easy, but it's not difficult either. Therefore, if they do not study properly, it will be very difficult for them to answer the 5th grade math problems with percentages. Here are some tips to help your child do well in grade 5 math with percentages to keep in mind such as:
Firmly grasp theoretical knowledge and how to calculate percentages in grade 5 math: As with any lesson, remembering and understanding the definition and calculation of the lesson will help students easily recognize the type of problem. practice more. From there, they will also solve the exercises more easily.
Working hard to practice advanced and basic 5th grade percentage problems to hone test-taking skills: Studying without practice will not bring good results. Regular practice of different types of exercises will help them memorize knowledge more deeply, and at the same time strengthen their good test-taking skills.
Combine learning with Trường THPT Trần Hưng Đạo Math application to consolidate knowledge of Math: This is an application that teaches math for preschool and primary school children under the new GDT program. The curriculum is methodically designed, with more than 60 topics, in 7 major math topics to help children master knowledge. Based on the age and learning level of each child, Trường THPT Trần Hưng Đạo Math divides lessons by level from easy to medium so that children can easily absorb. Moreover, this application also transmits knowledge in English language, so it not only helps children develop mathematical thinking but also develops language very well. Therefore, parents should choose the Trường THPT Trần Hưng Đạo Math application to help their children build a stronger foundation of math and foreign languages.
<img class="aligncenter" class="lazyload" src="https://monkeymedia.vcdn.com.vn/upload/web/img/7-toan-ti-so-phan-tram-lop-5.jpg" alt="Trường THPT Trần Hưng Đạo Math application helps children learn math well. (Photo: Trường THPT Trần Hưng Đạo)" >
Trường THPT Trần Hưng Đạo Math application introduction video.
Thus, through this article, Trường THPT Trần Hưng Đạo has helped them master math knowledge of grade 5 with percentages. In addition, parents should remind children to regularly follow the website monkey.edu.vn and learn the Trường THPT Trần Hưng Đạo Math application to learn more useful lessons.
Trường THPT Trần Hưng Đạo Math - The number 1 math teaching app for preschool and primary school children under the new GDPT program. Parents DOWNLOAD the APP and REGISTER LEARNING PACKAGE today so that your child can have early access to knowledge! |
See more:
- Teaching children to learn 4th grade math subtraction: Calculations and common types of exercises
- Teach your child to do 5th grade math the easiest division with remainder and without remainder
- The secret to helping children study well in grade 4 math with two parallel lines
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[box type=”note” align=”” class=”” ltr”>5th grade math percentage theory
To solve the 5th grade math problems with percentages, you first need to understand what percentage theory is? What 5 billion percentage operations are there? These important knowledge Trường THPT Trần Hưng Đạo will make it clear for you to understand right away:
Grade 5 . percentage math
A percentage is a ratio of two numbers where we will reduce the denominator of the ratio to 100. Percentages are often used to express the relative size of one quantity relative to another.
1/100 can be written as 1% , or 1/100 = 1% ;
15/100 can be written as 15% , or 15/100 = 15% ;….
In general, a/100 can be written as a%, or a/100 = a%.
The percent symbol is: %
To better understand the definition of 5th grade math percentage, we will learn more about 2 examples in 5th grade math textbook on pages 73 and 74.
Grade 5 . percentage calculations
Grade 5 percentage problem includes 4 basic operations: addition (+), subtraction (-), multiplication (x), division (:). Specifically:
Addition: a% + b% = (a + b)%
Subtraction: a% – b% = (a – b)%
Multiply a percentage by a number: a% xb = (axb)%
Percentage division by a number: a% : b = (a : b)%
Example: Calculate
a) 20% + 8%
b) 68% – 32%
c) 14% x 4
d) 48% : 4
Grade 5 . percentage math formulas
Through the above theory, they have helped them understand what percentage is. Besides, they also need to understand the maths of percentages in grade 5 to be able to solve the exercises in textbooks, workbooks or important exam questions.
Below is a summary of 5th grade math problems with percentages and instructions on how to solve them. You need to read carefully to understand the lesson.
Type 1: Math problems on addition, subtraction, multiplication and division of percentages
In the theory section of the 5th grade math textbook above, Trường THPT Trần Hưng Đạo has clearly stated the calculations about percentages and specific examples. This is also the most common type of exercise that you need to pay attention to.
To solve grade 5 percentage problems in the form of addition, subtraction, multiplication, and division of this percentage, we need to do the same as for natural numbers, then write the percent sign (%) in to the right of the calculated result.
Example: Calculate
a) 20% + 8%
b) 68% – 32%
c) 14% x 4
d) 48% : 4
Assignment
a) 20% + 8% = 28%
b) 68% – 32% =36%
c) 14% x 4 = 56%
d) 48% : 4 = 12%
Form 2: Find the percentage of two numbers
To solve the 5th grade math problem to find the percentage of number A to number B, divide A by number B and then multiply by 100.
Formula: A : B x 100 = D%
In there:
A is the number mentioned first.
B is the number mentioned later.
D is the percentage.
Example: Grade 4 of an elementary school has 200 students, of which 80 are boys.
a) Calculate the ratio of the number of female students to the number of grade 4 students.
b) Calculate the ratio of the number of male students to the number of grade 4 students.
Assignment
The number of girls in grade 4 is:
200 – 80 = 120 (students)
a) The ratio of the number of girls to the number of students in grade 4 is:
120 : 200 x 100 = 60%
b) The ratio of the number of boys to the number of students in grade 4 is:
80 : 200 x 100 = 40%
Answer: a) 60%; b) 40%
Form 3: Find the percentage value of a number
The 5th grade percentage formula is as follows: To find the percentage value of a number, divide that number by 100 and multiply by the percentage, or multiply that number by the percentage and then divide by 100.
Example of grade 5 percentage problem:
Class 5A has 50 students, of which 60% are girls. What is the number of female students in the class?
Assignment
The number of girls in class 5A is:
50 x 65 : 100 = 30 (students)
Answer: 26 students
Form 4: Find a number when the percentage value of that number is known
How to solve percentage problems for grade 5 to find a number when the percentage value of that number is known is as follows: Divide that value by the percentage and then multiply by 100 or multiply that value by 100 and then divide by the number of parts hundred.
Example: A milk bottle has 4.5% butter, given that the weight of butter in the milk bottle is 18g. Calculate the amount of milk in a bottle.
Assignment
The amount of milk in the bottle is:
18 : 4.5 x 100 = 400 (g)
Answer: 400g.
Form 5: The problem of calculating interest, calculating capital
This type of percentage problem 5th grade is often applied in the field of buying and selling. When you encounter this type of exercise, you need to memorize the following 5th grade math formulas to calculate basic percentages:
Selling price = cost + interest
Cost price = selling price – interest rate
Interest rate = selling price – cost price
Selling price = cost price – loss
Example 1: A bicycle costs 2,000,000 VND, now 20% off. What is the price of this bike now?
Assignment
Assuming the original price of the bike is 100%, after the discount is reduced to:
100% – 20% = 80%
The current price of the bike is:
2000000 x 80 : 100 = 1600000 (VND)
Answer: 1600000 VND
Form 6: The problem returns to the familiar math form
For this form of 5th grade math with percentages, we need to return to the familiar exercise format to make it easier to find the answer.
Example: The sum of two numbers is 25% the quotient of those two numbers is also 25%. Find two of them.
Assignment
25% = 0.25
The first number is: 0.25 : (1+4) = 0.05
The second number is: 0.25 – 0.05 = 0.2
Answer: 0.05 and 0.2
Some 5th grade math exercises with percentages for you to practice
After you have mastered the content of the 5th grade math lesson with percentages, you should regularly solve the exercises to reinforce your knowledge and skills. Here is a collection of 5th grade percentage problems for students to practice on their own:
<img class="aligncenter" class="lazyload" src="https://monkeymedia.vcdn.com.vn/upload/web/img/6-toan-ti-so-phan-tram-lop-5.jpg" alt="Some 5th grade percentage problems for children to practice. (Photo: Trường THPT Trần Hưng Đạo)” >
Lesson 1: A product has been reduced in price by 20%. If you want to sell that product at the original price, how much more must the price increase?
Lesson 2: A cloth after washing will shrink 2% of its original length. After washing the cloth, only 24.5m left. How many meters long is the fabric before washing?
Lesson 3: The teacher distributes apples to the students. If each child has 9 balls, then 9 balls are missing. If you divide each other by 10, you will be missing 25% of the original number of apples. Calculate the number of apples she divided and the number of students who divided the apples.
Lesson 4: A construction contractor accepted to build a house at a cost of 360 000 000 VND but the owner asked for a reduction of 2.5%, the contractor agreed. Calculate the amount the contractor received to build the house?
Lesson 5: Sea water contains 4% salt. How many grams of water need to be added to 400 grams of seawater so that the salt in the solution is 2%?
Lesson 6: A person sells eggs: 50% of the eggs are sold in the morning, and 20% of the remaining eggs are sold in the afternoon. Then that person sold another 40 fruit. In the evening, that person found that the number of eggs brought back was 120% of the eggs taken away. Ask him how many eggs he brought?
Lesson 7: A class has 25% good students, 55% good students, the rest are average students. Calculate the number of students in that class knowing the average number of students is 5?
Lesson 8: Calculate the age of two brothers knowing that 62.5% of the older brother’s age is 2 years older than the younger brother’s age, and 50% of his age is 7 years older than the younger brother’s age.
Lesson 9: The amount of salt contained in sea water is 5%. How many kilograms of water must be added to 200kg of seawater to get a solution containing 2% salt?
Lesson 10: The amount of water in fresh grass is 55%, in dry grass it is 10%. How many kilograms of dry grass can we get when drying 100 kg of fresh grass?
Lesson 11: On the occasion of March 26, a souvenir shop sells 10% off compared to weekdays. However, they still make a profit of 8% compared to the cost price. Ask them what percentage of their profit on weekdays compared to the cost price?
Lesson 12: In the school, 68% of students know Russian, 5% know both English and Russian. The rest only know English. What percentage of students in the school know English?
Lesson 13: A retailer buys a number of boxes of powdered milk for 24,000 VND/box. When paying, the owner has reduced to the shopper an amount equal to 12.5% of the price of a box. After that, he resells the milk for a profit equal to 33 1/3% of the cost price after reducing 20% of the listed price. How much is the listed price on a carton of milk?
Lesson 14: A fruit shop orders 4.5 tons of oranges for 18,000 VND per kilogram. Shipping fee is 1 600 000 VND. Assume 10% of the oranges are damaged in transit and all oranges are sold. Calculate how much each kg of oranges need to be sold to earn 8% profit?
Lesson 15: Dad bought 2 pairs of shoes for Tien, but they were both small, so Mom had to sell them 2 pairs of shoes. Each pair of shoes is sold for 300,000 VND. In which one pair sells for 20% more than the purchase price, the other pair sells for 20% less than the purchase price. Ask Tien’s mother how much profit or loss can she sell?
The full set of Trường THPT Trần Hưng Đạo learning applications helps children develop thinking and language, making it easier to learn Math – Vietnamese – English in class. |
Some notes to help children learn math in grade 5 with good percentages
The 5th grade math problem on percentages is not easy, but it’s not difficult either. Therefore, if they do not study properly, it will be very difficult for them to answer the 5th grade math problems with percentages. Here are some tips to help your child do well in grade 5 math with percentages to keep in mind such as:
Firmly grasp theoretical knowledge and how to calculate percentages in grade 5 math: As with any lesson, remembering and understanding the definition and calculation of the lesson will help students easily recognize the type of problem. practice more. From there, they will also solve the exercises more easily.
Working hard to practice advanced and basic 5th grade percentage problems to hone test-taking skills: Studying without practice will not bring good results. Regular practice of different types of exercises will help them memorize knowledge more deeply, and at the same time strengthen their good test-taking skills.
Combine learning with Trường THPT Trần Hưng Đạo Math application to consolidate knowledge of Math: This is an application that teaches math for preschool and primary school children under the new GDT program. The curriculum is methodically designed, with more than 60 topics, in 7 major math topics to help children master knowledge. Based on the age and learning level of each child, Trường THPT Trần Hưng Đạo Math divides lessons by level from easy to medium so that children can easily absorb. Moreover, this application also transmits knowledge in English language, so it not only helps children develop mathematical thinking but also develops language very well. Therefore, parents should choose the Trường THPT Trần Hưng Đạo Math application to help their children build a stronger foundation of math and foreign languages.
<img class="aligncenter" class="lazyload" src="https://monkeymedia.vcdn.com.vn/upload/web/img/7-toan-ti-so-phan-tram-lop-5.jpg" alt="Trường THPT Trần Hưng Đạo Math application helps children learn math well. (Photo: Trường THPT Trần Hưng Đạo)” >
Trường THPT Trần Hưng Đạo Math application introduction video.
Thus, through this article, Trường THPT Trần Hưng Đạo has helped them master math knowledge of grade 5 with percentages. In addition, parents should remind children to regularly follow the website monkey.edu.vn and learn the Trường THPT Trần Hưng Đạo Math application to learn more useful lessons.
Trường THPT Trần Hưng Đạo Math – The number 1 math teaching app for preschool and primary school children under the new GDPT program. Parents DOWNLOAD the APP and REGISTER LEARNING PACKAGE today so that your child can have early access to knowledge! |
See more:
- Teaching children to learn 4th grade math subtraction: Calculations and common types of exercises
- Teach your child to do 5th grade math the easiest division with remainder and without remainder
- The secret to helping children study well in grade 4 math with two parallel lines
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