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Class 6 Mathematics Ratio and Proportion Assignments

We have provided below free printable Class 6 Mathematics Ratio and Proportion Assignments for Download in PDF. The Assignments have been designed based on the latest NCERT Book for Class 6 Mathematics Ratio and Proportion . These Assignments for Grade 6 Mathematics Ratio and Proportion cover all important topics which can come in your standard 6 tests and examinations. Free printable Assignments for CBSE Class 6 Mathematics Ratio and Proportion , school and class assignments, and practice test papers have been designed by our highly experienced class 6 faculty. You can free download CBSE NCERT printable Assignments for Mathematics Ratio and Proportion Class 6 with solutions and answers. All Assignments and test sheets have been prepared by expert teachers as per the latest Syllabus in Mathematics Ratio and Proportion Class 6. Students can click on the links below and download all Pdf Assignments for Mathematics Ratio and Proportion class 6 for free. All latest Kendriya Vidyalaya Class 6 Mathematics Ratio and Proportion Assignments with Answers and test papers are given below.

Mathematics Ratio and Proportion Class 6 Assignments Pdf Download

We have provided below the biggest collection of free CBSE NCERT KVS Assignments for Class 6 Mathematics Ratio and Proportion . Students and teachers can download and save all free Mathematics Ratio and Proportion assignments in Pdf for grade 6th. Our expert faculty have covered Class 6 important questions and answers for Mathematics Ratio and Proportion as per the latest syllabus for the current academic year. All test papers and question banks for Class 6 Mathematics Ratio and Proportion and CBSE Assignments for Mathematics Ratio and Proportion Class 6 will be really helpful for standard 6th students to prepare for the class tests and school examinations. Class 6th students can easily free download in Pdf all printable practice worksheets given below.

Topicwise Assignments for Class 6 Mathematics Ratio and Proportion Download in Pdf

Advantages of Class 6 Mathematics Ratio and Proportion Assignments

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Frequently Asked Questions by Class 6 Mathematics Ratio and Proportion students

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Grade 6 Ratio and Proportion Worksheets

Grade 6 maths ratio and proportion multiple choice questions (mcqs).

1. If x, 30, 24 and 16 are in proportion then find the value of x. (a) 45 (b) 60 (c) 80 (d) none of these

2. If 8, 18, 18 and x are in proportion then find the value of x. (a) 405 (b) 40.5 (c) 81 (d) none of these

3. If 14, 16, x and 24 are in proportion then find the value of x. (a) 105 (b) 10.5 (c) 21 (d) none of these

4. The mean proportion of 9 and 16 is: (a) 3 (b) 12 (c) 33 (d) 11

5. The ratio of 90 cm to 1.5 m is ……………. (a) 3 : 5 (b) 5 : 3 (c) 60 : 1 (d) 4 : 3

6. 6 : 4 is equivalent ratio of …………. (a) 2 : 3 (b) 3 : 2 (c) 1 : 2 (d) 1 : 4

8. Find the value of x in 4 : 3 = x : 12? (a) 4 (b) 12 (c) 16 (d) 3

• CBSE Worksheets for Class 6 Maths Ratio & Proportion Assignment 1
• CBSE Worksheets for Class 6 Maths Ratio & Proportion Assignment 2
• CBSE Worksheets for Class 6 Maths Ratio & Proportion Assignment 3
• CBSE Worksheets for Class 6 Maths Ratio & Proportion Assignment 4
• CBSE Worksheets for Class 6 Maths Ratio & Proportion Assignment 5

9. In proportion first and the last terms are called …………… (a) mean terms (b) extreme terms (c) middle terms (d) none of these

10. If the cost of 6 cans of juice is ₹ 210, then what is the cost of 4 cans of juice? (a) ₹ 120 (b) ₹ 140 (c) ₹ 100 (d) ₹ 80

11. Which of the following is correct? (a) 3 : 4 = 15 : 24 (b) 12 : 24 = 6 : 12 (c) 7 : 3 = 14 : 3 (d) 5 : 10 = 9 : 20

12. Find the value of x in 3 : 4 = x : 16? (a) 4 (b) 16 (c) 12 (d) 3

13. Two quantities can be compared onlv if they are in the same …………….. . (a) ratio (b) units (c) proportion (d) none of these

14. The ratio is said to be not in simplest form if common factor is …………….. . (a) 1 (b) Other than 1 (c) -1 (d) None of these

15. Fill in the blanks: 30, 40, ………….., and 60 are in proportion. (a) 15 (b) 45 (c) 35 (d) 10

17. Divide 20 pens between Sheela and Sangeeta in the ratio of 3 : 2. (a) 12, 8 (b) 11, 9 (c) 10, 10 (d) 14, 6

18. 36 : 84 is equivalent ratio of ……………. (a) 7 : 3 (b) 3 : 7 (c) 6 : 7 (d) 12 : 7

19. 6 bowls cost ₹ 90. What would be the cost of 10 such bowls? (a) ₹ 300 (b) ₹ 150 (c) ₹ 200 (d) ₹ 250

20. The car that I own can go 150 km with 25 litres of petrol. Flow far can it go with 30 litres of petrol? (a) 125 km (b) 150 km (c) 250 km (d) none of these

Class 6 Maths Ratio and Proportion True(T) or False(F)

1. 4 : 7 = 20 : 35 2. If b : a = c : d, then a, b, c, d are in proportion. 3. The ratio 4 : 16 is in its lowest form. 4. The two terms of a ratio can be two different units. 5. The ratio of ₹ 8 to 80 paise is 1 : 10.

Class 6 Maths Ratio and Proportion Very Short Answer Type Questions

1. Present age of father is 42 years and that of his son is 14 years. Find the ratio of: (a) Present age of father to the present age of son (b) Age of the father to age of the son, when son was 12 years old (c) Age of father after 10 years to the age of son after 10 years. (d) Age of father to the age of son when father was 30 years old 2. Find the ratio of the following: (a) 90 cm to 1.5 m (b) 4 days to 2 weeks (c) 60 paise to ₹ 3 (d) 50 minutes to 2 hours (e) 3 dozen to 3 scores (f) 3.5 litres to 700 ml 3. Express each of the following in its simplest form : (a) 3 km: 1500 km (b) 250 : 1000 (c) 34 : 85 (d) 4.8 m :240m 4. In a year Ravi earns ₹ 4,00,000 and saves ₹ 1, 50,000, find the ratio of (a) money that Ravi earns to the money he saves. (b) money that Ravi saves to the money he spends.

Class 6 Maths Ratio and Proportion Short Answer Type Questions

Class 6 Maths Ratio and Proportion Long Answer Type Questions

1. A scooter travels 120 km in 3 hours and a train travels 120 km in 2 hours. Find the ratio of their speeds. 2. Find two numbers whose sum is 100 and whose ratio is 9 : 6. 3. A metal pipe 3 metre long was found to weigh 7.6 kg. What would be the weight of the same kind of 7.8 m long pipe?

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Class vi math, class 6 - ratio and proportion worksheet 1.

1. Express 25 : 45 ratios into it's simplest form.

2. What is the simplest form of 32 : 24?

3. Find the simplest form of the given ratio 70 : 105.

4. Find the ratio of Rs. 35 to Rs. 175, convert it to it's simplest form.

5. Find the ratio of 75 paise to Rs. 5.

6. Find the ratio of 2 years to 6 months.

7. Find the ratio of 45 m to 1 km.

8. A packet of salt weighs 25 kg and a packet of sugar weighs 35 kg. Find the ratio of weight of salt to weight of sugar.

9. Out of 45 students in a class, 20 students are boys and the remaining are girls. Find the ratio of boys to girls and girls to boys.

10. Express 4 : 5 in fraction form.

11. Which ratio is greater 4 : 5 or 5 : 6?

12. Divide 50 kg rice between Bob and John in the ratio of 2 : 3.

13. Fill in the missing number          3 ⁄ 5 = ... ⁄ 35

14. Fill in the missing number          5 ⁄ 9 = (5 x ...) ⁄ 81

15. The ratio of Julie's money to Pradeep's money is 4 : 6. If Julie has Rs. 500, how much money does Pradeep have?

If you want to download the above worksheet, please click below link.

Ratio & Propertion-1 Download the pdf

Ratio & Propertion Worksheet - 1

Ratio & Propertion Worksheet - 2

Ratio & Propertion Worksheet - 3

Answer Sheet

Ratio-Propertion-Answer Download the pdf

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Chapter 12 Class 6 Ratio and Proportion

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Get NCERT Solutions of all Exercise Questions and Examples of Chapter 12 Class 6 Ratio and Proportion. Answers to each question is solved in an easy to understand way by Teachoo.

In this chapter, we will learn

• What is Ratio
• Finding Ratio by changing units
• Using Ratios to find quantity (like Divide ₹ 60 in the ratio 1 : 2 between Kriti and Kiran)
• What is proportion
• What is Unitary Method , and solving questions using Unitary Method

Here, we have divided this chapter into 2 parts - Serial Order Wise, and Concept wise.

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NCERT Solutions for Class 6 Maths Chapter 12 Ratio and Proportion

NCERT Solutions for Class 6 Maths Chapter 12 Ratio and Proportion with Unit Tests and Class 6 Maths Chapter 12 Try These Answers and Solutions in Hindi and English Medium updated for academic session 2024-25. According to revised CBSE syllabus of 6th Maths, there are only three exercises in chapter 12 Ratio and Proportion.

Class 6 Maths Chapter 12 Solutions in English Medium

• Class 6 Maths Chapter 12 Try These
• Class 6 Maths Exercise 12.1 in English
• Class 6 Maths Exercise 12.2 in English
• Class 6 Maths Exercise 12.3 in English

Class 6 Maths Chapter 12 Solutions in Hindi Medium

• Class 6 Maths Exercise 12.1 in Hindi
• Class 6 Maths Exercise 12.2 in Hindi
• Class 6 Maths Exercise 12.3 in Hindi
• Class 6 Maths Chapter 12 NCERT Book
• Class 6th Maths Solutions Page
• Class 6 all Subjects Solutions

Class 6 Maths Chapter 12 Practice Test 6th Maths Chapter 12 Test 1 6th Maths Chapter 12 Test 2 6th Maths Chapter 12 Test 3 6th Maths Chapter 12 Test 4 6th Maths Chapter 12 Test 5 6th Maths Chapter 12 Test 6

Class VI Mathematics Exercise 12.1, Exercise 12.2 and Exercise 12.3 in English Medium as well as Hindi Medium updated for new academic session. Solutions of Prashnavali 12.1, Prashnavali 12.2 and Prashnavali 12.3 in Hindi Medium PDF format to free download. Videos related to each exercises are also given. Download textbooks from NCERT (https://ncert.nic.in/) website for the new session and NCERT Solutions based on these books. Download Online as well as Off-line Apps for Class 6 free to use it without internet. These apps are based on new CBSE Syllabus 2024-25.

Download NCERT Solutions for Class 6 Maths Chapter 12 Ratio and Proportion in PDF format. You can use it online also without downloading. All the solutions are updated for new session based on updated NCERT Books 2024-25. Feel free to contact us for any assistance in education.

In 6 Maths Chapter 12 Ratio and Proportion, we will study about various types of ratios and their conversions into percentages, fractions or decimals. We compared the two quantities in terms of ‘how many times’. This comparison is known as the Ratio. We denote ratio using symbol ‘:’. Two quantities can be compared only if they are in the same unit. If they are not same convert them into same units. For example in the following questions the quantities are in the same units. Cost of a toffee is ₹0.50 and cost of a chocolate is ₹10. Find the ratio of the cost of a toffee to the cost of a chocolate. Mayank takes 15 minutes to reach school from his house and Shikhar takes one hour to reach school from his house. Find the ratio of the time taken by Mayank to the time taken by Shikhar. In a school, there were 73 holidays in one year. What is the ratio of the number of holidays to the number of days in one year? Note: We can get equivalent ratios by multiplying or dividing the numerator and denominator by the same number.

Important Questions on Class 6 Maths Chapter 12

There are 20 girls and 15 boys in a class. what is the ratio of number of girls to the number of boys.

The ratio of girls to that of boys = 20/15 = 4/3 = 4:3

30 students in a class, like football, 12 like cricket and remaining like tennis. Find the ratio of number of students liking football to number of students liking tennis.

Total number of students = 30 Number of students like football = 6 Number of students like cricket = 12 Thus number of students like tennis = 30 – 6 – 12 = 12 The ratio of students like football that of tennis = 5/12 = 1 : 2

If it has rained 276 mm in the last 3 days, how many cm of rain will fall in one full week (7 days)? Assume that the rain continues to fall at the same rate.

Rain in 3 days = 276 mm Rain in 1 day = 276/3 = 92 mm Rain in 7 days = 92 x 7 = 644 mm Thus, the rain in 7 days is 644 mm.

Cost of 5 kg of wheat is ₹91.50. What will be the cost of 8 kg of wheat?

Cost of 5 kg of wheat = ₹91.50 Cost of 1 kg of wheat = 91.50/5 = ₹18.30 Cost of 8 kg of wheat = ₹18.30 x 8 = ₹146.40

All the solutions in English & Hindi medium are now in available for the session 2024-25. You can download or use it online, its upon you. No registration or fee is required for the access. We are here to help you in all the way. Always feel free to contact us.

Does chapter 12 of class 6th Maths have any important example?

Yes, chapter 12 of class 6th Maths has examples. Chapter 12 of grade 6th Maths has 15 examples in all. Examples 1, 2, 3, 4, 5, 6, and 7 are based on exercise 12.1, Examples 8, 9, and 10 are based on exercise 12.2, and examples 11, 12, 13, 14, 15 are based on exercise 12.3.

What is the core motive of chapter 12 of class 6 Maths?

The core motive of chapter 12 of class 6th Maths is to teach students the following things: 1. Ratios 2. Finding ratio by changing units 3. Equivalent ratios 4. Application of ratios 5. Proportion 6. Unitary Method

How one can use Ratios and Proportions chapter 12 class 6th Maths in daily life?

Daily life use of Ratios and Proportions (chapter 12 class 6th Maths) are: 1. Grocery Shopping: The grocery store is a nice example of ratios in real life. 2. Recipes and Cooking: People also use ratios in cooking. The relationships between the amounts of various ingredients in recipes are necessary to cook the most delicious foods. 3. Currency: Ratios are applied when converting from one currency to another. 4. Business: Ratios and proportions are also used in the business when dealing with money.

Is chapter 12 of class 6th Maths important from the exam point of view?

Yes, chapter 12 of class 6th Maths is important from the exam point of view. Questions will definitely come from this chapter in the exams. Students can’t skip this chapter for the exams. Students must practice all questions of this chapter.

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• CBSE Notes For Class 6
• CBSE Notes Class 6 Maths
• Chapter 12: Ratio And Proportion

Ratio and Proportion Class 6 Maths Notes - Chapter 12

Mathematical numbers used in comparing two things which are similar to each other in terms of units are ratios. A ratio can be written in three different ways viz, x to y, x: y and

For example:

• The ratio of 4 to 5 is 4: 5.
• Ram’s weight is 40 kgs and Ali’s weight is 80 kgs. To find out the ratio of Ram’s weight to Ali’s weight we need to divide Ram’s weight to Ali’s weight. Therefore, the ratio between Ram’s and Ali’s weight is \(\begin{array}{l}\frac{40}{80}\end{array} \) = 1:2

Comparing things similar to each other is the concept of ratio . And when two ratios are the same, they are said to be in proportion to each other. It is represented by the symbol ‘::’ or ‘=’.

Introduction to Ratio and Proportion

Golden ratio.

Two quantities are in the golden ratio if their ratio is the same as the ratio of their sum to larger of the two quantities.

• If two numbers a and b are in golden ratio, then  \(\begin{array}{l}\frac{a+b}{a}=\frac{a}{b}\end{array} \)
• It is approximately equal to 1.618.
• The ratio is the comparison of a quantity with respect to another quantity.
• It is denoted by “ : “.
• Two quantities can be compared only if they are in the same unit.

Example: Father’s age is 75 years and the daughter’s age is 25 years.

⇒ The ratio of father’s age to daughter’s age

Difference between Fractions and Ratios

• A fraction describes a part of a whole and its denominator represents the total number of parts. Example: 13 means one part out of 3 parts.
• A ratio is a comparison of two different quantities.
• Example: In a society, 10 people like driving, 20 people like swimming and the total number of people in society is 30.
• The ratio of the number of people liking driving to the total number of people = 10:30.
• The ratio of the number of people liking swimming to the number of people liking driving is 20:10.

For more information on Difference between Fractions and Ratios, watch the below video

Same Ratio in Different Situations

• Ratios can remain same in different situations.
• \(\begin{array}{l}\frac{Weight of Joe}{Weight of James}=\frac{50}{100} = 1:2\end{array} \)
• \(\begin{array}{l}\frac{Number of Girls}{Number of Boys}=\frac{50}{100} = 1:2\end{array} \)

Here, both the above ratios are equal.

Comparing Quantities Using Ratios

• Quantities can be compared using ratios.
• Example: Joe worked for 8 hours and James worked for 2 hours. How many times Joe’s working hours is of James’ working hours? Solution: Working hours of Joe = 8 hours ⇒ Working hours of Sheela = 2 hours ⇒ The ratio of working hours of Joe to Sheela = \(\begin{array}{l}\frac{8}{2}=4\end{array} \) .

Therefore, Joe works four times more than James.

To know more about Comparison of Ratios, visit here .

Equivalent Ratios

When the given ratios are equal, then these ratios are called as equivalent ratios.

• Equivalent ratios can be obtained by multiplying and dividing the numerator and denominator with the same number.
• Example: Ratios 10 : 30   ( = 1 : 3 ) and 11 : 33   ( = 1 : 3 ) are equivalent ratios.

Unitary Method

The method in which first we find the value of one unit and then the value of required number of units is known as Unitary Method.

• Example:  Cost of two shirts in a shop is Rs.200. What will be the cost of 5 shirts in the shop? Solution : Cost of 2 shirts =  R s . 200 ⇒ Cost of 1 shirt = \(\begin{array}{l}\frac{200}{2}=100\end{array} \) ⇒ Cost of 5 shirts = \(\begin{array}{l}\left ( \frac{200}{2} \right )*5=100*5\end{array} \) =  R s .500

To know more about Unitary Method, visit here .

Proportions

If two ratios are equal, then they are said to be in proportion.

• Symbol “ :: ” or “ = ” is used to equate the two ratios.
• Example : Ratios 2:3 and 6:9 are proportional. ⇒ 2:3 :: 6:9 or 2:3 = 6:9

Uses of Ratios and Proportions

• Example:  Suppose a man travelled 80 km in 2 hours, how much time will he take to travel 40 km? Solution: If x is the required time, then the proportion is 80 : 2 : : 40 : x . ⇒   \(\begin{array}{l}\frac{80}{2} * \frac{40}{x}\end{array} \) ⇒   80 x = 80 ⇒ x = 1   h o u r So, the man takes one hour to complete 40 km.

To know more about Ratios and Proportion, visit here .

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Frequently Asked Questions on CBSE Class 6 Maths Notes Chapter 12 Ratio and Proportion

What is the ‘golden ratio’.

Two numbers are in the golden ratio if the ratio of the sum of the numbers (a b) divided by the larger number (a) is equal to the ratio of the larger number divided by the smaller number (a/b).

What is known as the ‘Unitary method’?

The unitary method is a process of finding the value of a single unit. Based on this value, the value of the required number of units are found

What is meant ‘Fraction’?

A fraction represents a part of a whole or, more generally, any number of equal parts.

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• RS Aggarwal Class 6 Solutions Chapter-10 Ratio, Proportion and Unitary Method
• RS Aggarwal Solutions

Class 6 RS Aggarwal Chapter-10 Ratio, Proportion and Unitary Method Solutions - Free PDF Download

Vedantu is here to help you by providing you RS Aggarwal Class 6 Maths Chapter 10. The topic of Chapter 10 is a ratio, proportion, and unitary method. The chapter, Ratio, proportion, and unitary method mainly deals with questions on how to solve the ratios in simplest form and how one can use them on our day-to-day calculations.

The way the solutions are prepared by Vedantu’s top educators can be understood by the students with great ease. The stepwise solutions of every answer provide the student with enhanced insight into the chapter and help them to clarify the majority of their doubts. You can download the pdf of Chapter 10 Class 6 RS Aggarwal from Vedantu. You can also register Online for NCERT Class 6 Science tuition on Vedantu.com to score more marks in the CBSE board examination. 

Vedantu is a platform that provides free CBSE Solutions (NCERT) and other study materials for students. Maths Students who are looking for the better solutions ,can download Class 6 Maths NCERT Solutions to help you to revise the complete syllabus and score more marks in your examinations.

RS Aggarwal Solutions- Class 6 Maths Chapter 10 Solutions

Exercise (Ex 10A)10.1

Exercise (Ex 10B)10.2

Exercise (Ex 10C)10.3

Exercise (Ex 10D)10.4  

RS Aggarwal Class 6 Chapter 10 Ratio, Proportion, and Unitary Method – Introduction to the Chapter 

The students will start learning how to solve different types of questions related to ratio and proportion along with an introduction to what the unitary method is. The proportion can be understood by a statement that two ratios are equal, and a ratio indicates the number of times a number contains another. So, let's get started!! 

Definition: The comparison of two quantities using division is called Ratio. ":" is used to denote the ratio.

For example 5:2 (which is the same as 5/2)

Note: While finding the ratio, the unit of the 2 quantities must be the same. 

Lowest Form of Ratio

Definition: When the numerator and denominator have no common factor other than 1, it is called the lowest form of a ratio.

For example: Find the lowest form of the ratio of 13:65.

13/65 = 1/5 

Now 1 and 5 have no common factor other than 1.

Therefore, 1:5 is the lowest form of a ratio. 

Definition: When two ratios are equal, then it is called proportion.

It can be denoted in this way; a:b:: c:d 

where, a and d = extremes 

             b and c = means

Formula: Product of extremes = Product of means

Hence, ad = bc

Some Sums on Ratio, Proportion, and Unitary Method

1. What is the ratio of the height of Harry and Ron if the height of Harry is 175 cm and Ron is 1.65m?

Height of Ron= 1.65*100= 165cm

Ratio =   H ight of Harry/ Height of Ron = \[\frac{165}{175}\]

            = 33/35

            = 33:35 (Ans) 

2. Find the ratio 30 cm to 4 m is proportion to 25 cm to 5 m or not.

4 m = 4 × 100 cm = 400 cm

The ratio of 30 cm to 400 cm is 

30/400=3/40

5 m = 5 × 100 cm = 500 cm

A ratio of 25 cm to 500 cm is

Here, the two ratios are not equal so these ratios are not in proportion.

Hence, 3: 40 ≠ 1: 20 (Ans) 

3. Priya can type 540 words in half an hour. How many words will she be able to type in 20 minutes with the same efficiency?

Number of words typed in half an hour i.e. 30 min = 540 seconds

∴ Number of words typed in 1 min = 540/30=18

Number of words typed in 20 min = 20×18=360

Hence, Priya will be able to type 360 words in 20 minutes. (Ans) 

4. A and B together can do a piece of work in 15 days, while B alone can finish it within 20 days. In how many days can A alone finish the work?

Time is taken by (A + B) to finish the work = 15 days.

Time is taken by B alone to finish the work = 20 days.

(A + B)’s 1 day’s work = ¹/₁₅

 B’s 1 day’s work = ¹/₂₀

A’s 1 day’s work = {(A + B)’s 1 day’s work} - {B’s 1 day’s work}

= (¹/₁₅ - ¹/₂₀) = (4 - 3)/60 = ¹/₆₀

Therefore, A alone can finish the work in 60 days. (Ans) 

Preparation Tips 

Keep practicing mathematics every day for at least half an hour.  

Do not overexert yourself, take a short break after studying every 45 minutes. 

Start focusing on understanding the concepts.

Start solving the exercise questions without any guidance from anyone.

Try the questions at least 3 times if you are unable to solve them.

Seek help from Vedantu’s solution to check your answers and solve the ones that you were unable to solve.

RS Aggarwal solutions Maths Class 6 Chapter 10 are easy to download and easy to understand for the students. Chapter 10 ratio and proportion is an interesting topic of study in mathematics. Vedantu is one of the best platforms that can assist a lot of students online. It has class-wise solutions that are provided by experts in the particular field of study that makes it a more trustworthy platform.

FAQs on RS Aggarwal Class 6 Solutions Chapter-10 Ratio, Proportion and Unitary Method

1. Where to find out Solutions to RS Aggarwal for Class 6 Chapter 10?

You can easily download RS Aggarwal Class 6 solutions Chapter 10 from Vedantu’s website free of cost. The Answers are provided by experts and have correct answers and are authentic. The solutions provided are easy to understand and are given in a proper step by step manner. 

This makes it easier for the students to understand the solutions at every step and also find out at what step they have been making mistakes. So, start studying Vedantu's study material and solutions without giving it any second thought.

2. What is the basic concept of Ratio, Proportion, and Unitary Method?

The unitary method, in simple words, is used to calculate the value of a single unit from a specified multiple. If the cost of 40 pens is Rs. 400, how do you calculate the cost of one pen? The unitary approach can be used to accomplish this. Furthermore, once the value of a single unit has been determined, the value of the required units can be calculated by multiplying the single value unit. This approach is mostly used to calculate ratios and proportions.

3. Is Ratio, Proportion, and Unitary Method an easy topic in Mathematics?

Yes, it is easy if you solve it daily. Completing all of the chapter assignments is usually a good idea because they provide important practice. Math is not a subject that can be mastered solely via reading or memorization.

It necessitates a significant amount of effort and practise. There are examples and activities after each part of the NCERT textbook. After you've finished each lesson, go over the solved examples to make sure you've grasped everything.

Then go over the activities to see if you can figure out how to complete them. Because it's possible that the same questions will occur on the exam, students should practise the sums in the exercises thoroughly.

4. How can I prepare well for my Class 6 Maths exam?

Practice is the only thing that matters. The more you practise, the closer you will go to mathematical perfection. While your teacher is instructing you in class, try to focus and concentrate more. Also, if you attend Vedantu's tuition classes, make sure you comprehend and learn the concepts of each lesson. If you have a question, ask it at the same moment and don't be afraid to ask or clarify it. To mention this because We've seen children keep silent even when they are unsure because they are hesitant. If you agree, then ask any questions you have after the class. We will undoubtedly assist you in better understanding the subject.

5. How will Vedantu help you to study RS Aggarwal Solutions Maths Class 6 Chapter 10 (Ratio, Proportion, and Unitary Method Solutions) and Score Better Marks?

The study material and the solutions of every book are prepared by Vedantu’s top educators after extensive research. The solutions are made by the current CBSE guidelines. The materials are made in a way so that the students can easily grasp the concepts and develop a deep understanding of the chapter. This will help them significantly in their higher studies.

Vedantu to be deemed as one of the most premier and reputed online coaching institutes are not only trustworthy but also very reliable. Vedantu gives top priority to its students and helps them to achieve their goals in all possible ways. 

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Assignments For Class 6 Mathematics Ratio and Proportion

Assignments for Class 6 Mathematics Ratio and Proportion have been developed for Standard 6 students based on the latest syllabus and textbooks applicable in CBSE, NCERT and KVS schools. Parents and students can download the full collection of class assignments for class 6 Mathematics Ratio and Proportion from our website as we have provided all topic wise assignments free in PDF format which can be downloaded easily. Students are recommended to do these assignments daily by taking printouts and going through the questions and answers for Grade 6 Mathematics Ratio and Proportion. You should try to do these test assignments on a daily basis so that you are able to understand the concepts and details of each chapter in your Mathematics Ratio and Proportion book and get good marks in class 6 exams.

Assignments for Class 6 Mathematics Ratio and Proportion as per CBSE NCERT pattern

All students studying in Grade 6 Mathematics Ratio and Proportion should download the assignments provided here and use them for their daily routine practice. This will help them to get better grades in Mathematics Ratio and Proportion exam for standard 6. We have made sure that all topics given in your textbook for Mathematics Ratio and Proportion which is suggested in Class 6 have been covered ad we have made assignments and test papers for all topics which your teacher has been teaching in your class. All chapter wise assignments have been made by our teachers after full research of each important topic in the textbooks so that you have enough questions and their solutions to help them practice so that they are able to get full practice and understanding of all important topics. Our teachers at https://www.assignmentsbag.com have made sure that all test papers have been designed as per CBSE, NCERT and KVS syllabus and examination pattern. These question banks have been recommended in various schools and have supported many students to practice and further enhance their scores in school and have also assisted them to appear in other school level tests and examinations. Its easy to take print of thee assignments as all are available in PDF format.

Some advantages of Free Assignments for Class 6 Mathematics Ratio and Proportion

• Solving Assignments for Mathematics Ratio and Proportion Class 6 helps to further enhance understanding of the topics given in your text book which will help you to get better marks
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All free Printable practice assignments are in PDF single lick download format and have been prepared by Class 6 Mathematics Ratio and Proportion teachers after full study of all topics which have been given in each chapter so that the students are able to take complete benefit from the worksheets. The Chapter wise question bank and revision assignments can be accessed free and anywhere. Go ahead and click on the links above to download free CBSE Class 6 Mathematics Ratio and Proportion Assignments PDF.

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You can get free PDF downloadable assignments for Grade 6 Mathematics Ratio and Proportion from our website which has been developed by teachers after doing extensive research in each topic.

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MCQ Questions for Class 6 Maths Chapter 12 Ratio and Proportion with Answers

We have compiled the NCERT MCQ Questions for Class 6 Maths Chapter 12 Ratio and Proportion with Answers Pdf free download covering the entire syllabus. Practice MCQ Questions for Class 6 Maths with Answers on a daily basis and score well in exams. Refer to the Ratio and Proportion Class 6 MCQs Questions with Answers here along with a detailed explanation.

Ratio and Proportion Class 6 MCQs Questions with Answers

Choose the correct option.

Question 1. The ratio of Rs 6 to 60 paise is (a) 1 : 10 (b) 10 : 1 (c) 1 : 1 (d) 100 : 1

Answer: (a) 1 : 10

Question 2. Find the missing number in the box in the following proportion: __ : 5 :: 12 : 60 (a) 1 (b) 4 (c) 6 (d) 2

Answer: (a) 1

Question 3. The ratio of 10 copies to 60 copies is (a) 1 : 6 (b) 6 : 1 (c) 4 : 5 (d) 5 : 4

Answer: (a) 1 : 6

Question 4. The ratio of the number of sides of a square to the number of edges of a cube is (a) 1 : 2 (b) 3 : 2 (c) 4 : 1 (d) 1 : 3

Answer: (d) 1 : 3

Question 5. A picture is 60cm wide and 1.8m long. The ratio of its width to its perimeter in lowest form is (a) 1 : 2 (b) 1 : 3 (c) 1 : 4 (d) 1 : 8

Answer: (d) 1 : 8

Question 6. Neelam’s monthly income is Rs. 28000. Her monthly savings amount to Rs. 7000. The ratio of her savings to her expenditure is (a) 1 : 3 (b) 1 : 7 (c) 2 : 5 (d) 1 : 4

Answer: (c) 2 : 5

Question 7. The greatest ratio among the ratios 2 : 3, 4 : 5, 5 : 6 and 6 : 7 is (a) 2 : 3 (b) 4 : 5 (c) 5 : 6 (d) 6 : 7

Answer: (d) 6 : 7

Question 8. Find two numbers whose sum is 100 and whose ratio is 9 : 16. (a) 36 : 64 (b) 64 : 36 (c) 20 : 80 (d) 80 : 20

Answer: (a) 36 : 64

Question 9. Ratio of 5 paise to 25 paise is the same as the ratio of 20 paise to (a) Rs. 2 (b) Rs. 20 (c) 50 paise (d) Rs. 1

Answer: (d) Rs. 1

Question 10. The ratio 4 : 16 is in its lowest form (a) 8 : 32 (b) 1 : 4 (c) 1 : 2 (d) 16 : 4

Answer: (b) 1 : 4

Question 11. If 3 : 2 is equivalent, to x : 4, then x is (a) 1 (b) 3 (c) 4 (d) 6

Answer: (d) 6

Question 12. The lowest form of 150 : 45 is (a) 10 : 3 (b) 3 : 10 (c) 15 : 3 (d) 3 : 15

Answer: (a) 10 : 3

Fill in the blanks

Question 1. The comparison of two numbers quantities by division is known as the ……………….

Answer: Ratio

Question 2. The lowest form of 25 : 75 is ……………….

Answer: 1 : 3

Question 3. Cost of 2 copies is 25, then cost of 20 copies is ……………….

Answer: 250

Question 4. The ratio of 2 hours to 30 minutes is ……………….

Answer: 4 : 1

Question 5. Value of x in 3 : 4 :: 18 : x is ……………….

Answer: x = 24

Question 6. A ………………… is a statement that two ratios are equal. [proportion/equation]

Answer: proportion

Question 7. The first and the ………………… terms of a proportion are called extremes. [third/fourth]

Answer: fourth

Question 8. The simplest form of the ratio 25 : 75 is …………………

Question 9. The ratio 30 : 45, in its lowest term is …………………

Answer: 2 : 3

Question 10. In a class, there are 30 girls and 20 boys. [Number of girls] : [Number of boys] = ………………… [(3 : 2)/(2 : 3)]

Answer: 3 : 2

Question 11. In a class, there are 20 girls and 30 boys, then [Number of boys] i [Number of girls] = ………………… [(3 : 2)/(2 : 3)]

Question 12. A comparison of numerical value is called a ………………… [ratio/proportion]

Answer: ratio

Question 13. The ratio 2 : 3 is ………………… from the ratio 3 : 2. [same/different]

Answer: different

Question 14. The simplest form of the ratio 100 : 10 is …………………

Answer: 10 : 1

Question 15. The simplest form of the ratio 60 : 70 is …………………

Answer: 6 : 7

Match the following

Hope the information shed above regarding NCERT MCQ Questions for Class 6 Maths Chapter 12 Ratio and Proportion with Answers Pdf free download has been useful to an extent. If you have any other queries of CBSE Class 6 Maths Ratio and Proportion MCQs Multiple Choice Questions with Answers, feel free to reach us so that we can revert back to us at the earliest possible.

• Ratio And Proportion

Class 6 NCERT (CBSE and ICSE) Ratio And Proportion

Student assignments, create unlimited student assignments., online practice, online tests, printable worksheets and tests.

Arinjay Academy » Maths » Ratio and Proportion Class 6

Ratio and Proportion Class 6

Ratio and Proportion Class 6, deals with various concepts which are as under:-

• Converting Ratios to Simplest Form
• Equivalent Ratios
• Find the numbers when their ratio and sum are given
• Divide sum of money between two persons when ratio are given
• Divide sum of money among 3 persons when ratio are given
• Are the given number are in proportion
• Find the value of y when four numbers are in proportion

Ratio and Proportion Class 6 –   Converting Ratios to Simplest Form

In order to convert the given ratio to Simplest Form, we should follow the following steps : –

• Find the HCF of both the numerator and denominator
• Dividing Both numbers by their HCF

The result is the ratio in its simplest form.

Question 1:

Convert 16 : 28 into its simplest form

Explanation:

Convert the ratio 16 : 28 in its simplest form.

HCF of 16 and 28 is 4

Since, 16 : 28

Hence, the simplest form of 16 : 28 is 4 : 7

Ratio and Proportion Cla ss 6 –   Equivalent Ratios

In order to find Equivalent Ratios of any given ratio, we multiply or divide the numerator and denominator of the ratio by the same non zero number.

Question 2:

Find the Equivalent ratio of 2 : 5?

9/15, 5/2, 8/20 and 6/15

On multiplying or dividing each term of a ratio by the same non zero number, we get a ratio equivalent to the given ratio

Both numerator and denominator of given fraction is multiplied by same nonzero number i.e 4

8/20 is an equivalent ratio of 2/5

9/15 is not an equivalent ratio of 2/5, As both 2 and 5 are not multiply by same non zero number

5/2 is not an equivalent ratio of 2/5. As both 2 and 5 are not multiply by same non zero number

6/15 is not an equivalent ratio of 2/5. As both 2 and 5 are not multiply by same non zero number

Ratio and Proportion Cla ss 6 –  Find the numbers when their ratio and sum are given

Question 3:

Two numbers are in the ratio 3 : 1 and their sum is 68. Find the numbers?

Let the required number be 3a and 1a

Since the sum of these two numbers is given, we can say that

3a + 1a = 68

So, the first number is 3a = 3 x 17

Second number is 1a = 1 x 17

Hence, two numbers are 51 and 17

Ratio and Proportion Cla ss 6 –  Divide sum of money between two persons when ratio are given

Question 4:

Divide ₹ 1500 among X and Y in the ratio 1 : 2

Total money = ₹ 1500

Given ratio = 1 : 2

Sum of ratio terms = ( 1 + 2 ) = 3

Give: 1/3 part of ₹ 1500 to X

Give: 2/3 part of ₹ 1500 to Y

X ‘s share = ₹ ( 1500 x 1/3) = ₹ 500

Y ‘s share = ₹ ( 1500 x 2/3) = ₹ 1000

Ratio and Proportion Cla ss 6  –  Divide sum of money among 3 persons when ratio are given

Question 5:

Divide ₹ 1200 among X , Y and Z in the ratio 2 : 3 : 1

Total money = ₹ 1200

Given ratio = 2 : 3 : 1

Sum of ratio terms = ( 2 + 3 + 1 ) = 6

X share = ₹ ( 1200 x 2/6) = ₹ 400

Y share = ₹ ( 1200 x 3/6) = ₹ 600

Z share = ₹ ( 1200 x 1/6) = ₹ 200

Ratio and Proportion Cla ss 6  –   Comparison of ratios

To Compare two Ratios, we should follow the following steps : –

• Write both the Ratios as Fractions
• Convert both the Fractions into Like Fraction:- – Find the L.C.M of denominator of both the Fractions – Make the denominator of each fraction equal to their L.C.M.
• In case of Like fractions, the number whose numerator is greater is larger.

Question 6:

Compare the ratios ( 2 : 1 ) and ( 1 : 4 )

We can write

( 2 : 1 ) = 2/1 and ( 1 : 4 ) = 1/4

Now, let us compare 2/1 and 1/4

LCM of 1 and 4 is 4

Making the denominator of each fraction equal to 4

In case of Like fractions, the number whose numerator is greater is larger. Hence we can say 8/4 > 1/4

That is, 2/1 > 1/4

Hence, ( 2 : 1 ) > ( 1 : 4 )

Ratio and Proportion Cla ss 6  –   Four Numbers in Proportion

Let a, b, c, d are four numbers said to be in proportion. then, a : b = c : d  or a : b :: c : d here a and d are called the extreme terms or extremes. b and c are called the middle terms or means. When Four numbers are in proportion then, Product of extremes = Product of means. i.e, In proportion a : b :: c : d, (a x d) = (b x c)

Ratio and Proportion Cla ss 6  –   Are the given number are in proportion

Question 7:

Are 4 , 12 , 6 , 18 in proportion?

Since, 4 : 12 = 6 : 18

Hence, 4 , 12 , 6 , 18 are in Proportion

Alternative method: Product of extremes = Product of means

Here, Means are 12 and 6

Extremes are 4 and 18

Product of extremes = 4 x 18 = 72

Product of means = 12 x 6 = 72

Since, Product of extremes = Product of means

Ratio and Proportion Cla ss 6  –  Find the value of y when four numbers are in proportion

Question 8:

If 6 : 3 : : y : 2, find the value of y?

We know that, Product of means = Product of extremes

In the given numbers, we can say that 3 , y are means and 6 , 2 are extremes

3 x y = 6 x 2

Hence, y = 4

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🎯 240 mcqs (& pyqs) with full explanations (2024-2025 exam), assignment class 6 for ratio and proportions -1 questions and answers paper.

Find the ratio of the following

(a) 63 to 45

(b) 256 to 512

(c) 66 km to 121 km

(d) 3 minutes to 45 minutes

(e) hour to 45 minutes

(f) 1 cm to 10 mm

(g) 45 paisa to Re 1

(h) 100 mL to 2 litre

In a School, out of 1220 students, 300 are girls. Find the ratio of

(a) Number of girls to the total number of students.

(b) Number of boys to the number of girls.

(c) Number of boys to the total number of students.

Cost of a dozen bananas is Rs 180 and cost of 8 lemons is Rs 56. Find the ratio of the cost of a banana to the cost of a lemon.

Determine if the following are in proportion.

(a) 25, 75,80, 240

(b) 11,121, 9,99

(c) 12, 144,25, 625

(d) 32, 48,70, 210

(e) 4,6, 8,12

(f) 33, 44,75, 100

Determine if the following ratios form a proportion. Also, write the middle terms and extreme terms where the rations form a proportion.

(a) 10 cm: 1 m and Rs 10: Rs 100

(b) 39 litres: 65 litres and 6 bottles: 10 bottles

(c) 2 kg: 50 kg and 25 g: 625 g

(d) 200 mL: 2.5 litre and Rs 4: Rs 50

Aakash earns Rs 20000 in 10 days. How much will she earn in 30 days?

The weight of 72 books s 144 kg. What is the weight of 10 such books?