Tamil Nadu Board of Secondary EducationSSLC (English Medium) Class 6th

# Tamil Nadu Board Samacheer Kalvi solutions for Class 6th Mathematics Term 1 Answers Guide chapter 3 - Ratio and Proportion [Latest edition]

## Chapter 3: Ratio and Proportion

Exercise 3.1Exercise 3.2Exercise 3.3Exercise 3.4
Exercise 3.1 [Pages 51 - 52]

### Tamil Nadu Board Samacheer Kalvi solutions for Class 6th Mathematics Term 1 Answers Guide Chapter 3 Ratio and ProportionExercise 3.1 [Pages 51 - 52]

#### Fill in the blanks

Exercise 3.1 | Q 1. (i) | Page 51

Ratio of ₹ 3 to ₹ 5 = ______________

Exercise 3.1 | Q 1. (ii) | Page 51

Ratio of 3 m to 200 cm = _____________

Exercise 3.1 | Q 1. (iii) | Page 51

Ratio of 5 km 400 m to 6 km = _______________

Exercise 3.1 | Q 1. (iv) | Page 51

Ratio of 75 paise to ₹ 2 = _____________

#### Say whether the following statements are True or False

Exercise 3.1 | Q 2. (i) | Page 51

The ratio of 130 cm to 1 m is 13 : 10

• True

• False

Exercise 3.1 | Q 2. (ii) | Page 51

One of the terms in a ratio cannot be 1

• True

• False

Exercise 3.1 | Q 3. (i) | Page 51

Find the simplified form of the following ratio.

15 : 20

Exercise 3.1 | Q 3. (ii) | Page 51

Find the simplified form of the following ratio.

32 : 24

Exercise 3.1 | Q 3. (iii) | Page 51

Find the simplified form of the following ratio.

7 : 15

Exercise 3.1 | Q 3. (iv) | Page 51

Find the simplified form of the following ratio.

12 : 27

Exercise 3.1 | Q 3. (v) | Page 51

Find the simplified form of the following ratio.

75 : 100

Exercise 3.1 | Q 4 | Page 51

Akilan walks 10 km in an hour while Selvi walks 6 km in an hour. Find the simplest ratio of the distance covered by Akilan to that of Selvi.

Exercise 3.1 | Q 5 | Page 51

The cost of parking a bicycle is ₹ 5 and the cost of parking a scooter is ₹ 15. Find the simplest ratio of the parking cost of a bicycle to that of a scooter

Exercise 3.1 | Q 6. (i) | Page 51

Out of 50 students in a class, 30 are boys. Find the ratio of number of boys to the number of girls

Exercise 3.1 | Q 6. (ii) | Page 51

Out of 50 students in a class, 30 are boys. Find the ratio of number of girls to the total number of students

Exercise 3.1 | Q 6. (iii) | Page 51

Out of 50 students in a class, 30 are boys. Find the ratio of number of boys to the total number of students

#### Objective Type Questions

Exercise 3.1 | Q 7 | Page 52

The ratio of ₹ 1 to 20 paise is _______________

• 1 : 5

• 1 : 2

• 2 : 1

• 5 : 1

Exercise 3.1 | Q 8 | Page 52

The ratio of 1 l to 50 ml is ______________

• 1 : 5

• 1 : 20

• 20 : 1

• 5 : 1

Exercise 3.1 | Q 9 | Page 52

The length and breadth of a window are in 1m and 70 cm respectively. The ratio of the length to the breadth is _______________

• 1 : 7

• 7 : 1

• 7 : 10

• 10 : 7

Exercise 3.1 | Q 10 | Page 52

The ratio of the number of sides of a triangle to the number of sides of a rectangle is

• 4 : 3

• 3 : 4

• 3 : 5

• 3 : 2

Exercise 3.1 | Q 11 | Page 52

If Azhagan is 50 years old and his son is 10 years old then the simplest ratio between the age of Azhagan to his son is

• 10 : 50

• 50 : 10

• 5 : 1

• 1 : 5

Exercise 3.2 [Pages 54 - 55]

### Tamil Nadu Board Samacheer Kalvi solutions for Class 6th Mathematics Term 1 Answers Guide Chapter 3 Ratio and ProportionExercise 3.2 [Pages 54 - 55]

Exercise 3.2 | Q 1. (i) | Page 54

Fill in the blank for the given equivalent ratio.

3 : 5 = 9 : ____

Exercise 3.2 | Q 1. (ii) | Page 54

Fill in the blank for the given equivalent ratio.

4 : 5 = ____ : 10

Exercise 3.2 | Q 1. (iii) | Page 54

Fill in the blank for the given equivalent ratio.

6 : ____ = 1 : 2

Exercise 3.2 | Q 2. (i) | Page 54

Complete the table.

 Feet 1 2 3 ? Inch 12 24 ? 72
Exercise 3.2 | Q 2. (ii) | Page 54

Complete the table.

 Days 28 21 ? 63 Weeks 4 3 2 ?

#### Say True or False

Exercise 3.2 | Q 3. (i) | Page 55

5 : 7 is equivalent to 21 : 15

• True

• False

Exercise 3.2 | Q 3. (ii) | Page 55

If 40 is divided in the ratio 3 : 2, then the larger part is 24

• True

• False

Exercise 3.2 | Q 4. (i) | Page 55

Give two equivalent ratios of the following.

3 : 2

Exercise 3.2 | Q 4. (ii) | Page 55

Give two equivalent ratios of the following.

1 : 6

Exercise 3.2 | Q 4. (iii) | Page 55

Give two equivalent ratios of the following.

5 : 4

Exercise 3.2 | Q 5. (i) | Page 55

Identify of the two ratios is larger?

4 : 5 or 8 : 15

Exercise 3.2 | Q 5. (ii) | Page 55

Identify of the two ratios is larger?

3 : 4 or 7 : 8

Exercise 3.2 | Q 5. (iii) | Page 55

Identify of the two ratios is larger?

1 : 2 or 2 : 1

Exercise 3.2 | Q 6. (i) | Page 55

Divide the numbers given below in the required ratio.

20 in the ratio 3 : 2

Exercise 3.2 | Q 6. (ii) | Page 55

Divide the numbers given below in the required ratio.

27 in the ratio 4 : 5

Exercise 3.2 | Q 6. (iii) | Page 55

Divide the numbers given below in the required ratio.

40 in the ratio 6 : 14

Exercise 3.2 | Q 7 | Page 55

In a family, the amount spent in a month for buying Provisions and Vegetables are in the ratio 3 : 2. If the allotted amount is ₹ 4000, then what will be the amount spent for (i) Provisions and (ii) Vegetables?

Exercise 3.2 | Q 8 | Page 55

A line segment 63 cm long is to be divided into two parts in the ratio 3 : 4. Find the length of each part.

#### Objective Type Questions

Exercise 3.2 | Q 9 | Page 55

If 2 : 3 and 4 : ____ are equivalent ratios, find the missing term

• 6

• 2

• 4

• 3

Exercise 3.2 | Q 10 | Page 55

An equivalent ratio of 4 : 7 is

• 1 : 3

• 8 : 15

• 14 : 8

• 12 : 21

Exercise 3.2 | Q 11 | Page 55

Which is not an equivalent ratio of 16/24?

• 6/9

• 12/18

• 10/15

• 20/28

Exercise 3.2 | Q 12 | Page 55

If ₹ 1600 is divided among A and B in the ratio 3 : 5, then, B’s share is

• ₹ 480

• ₹ 800

• ₹ 1000

• ₹ 200

Exercise 3.3 [Pages 58 - 59]

### Tamil Nadu Board Samacheer Kalvi solutions for Class 6th Mathematics Term 1 Answers Guide Chapter 3 Ratio and ProportionExercise 3.3 [Pages 58 - 59]

#### Fill in the boxes

Exercise 3.3 | Q 1. (i) | Page 58

3 : 5 :  : square : 20

Exercise 3.3 | Q 1. (ii) | Page 58

square : 24 : : 3 : 8

Exercise 3.3 | Q 1. (iii) | Page 58

5 : square : : 10 : 8 : : 15 : square

Exercise 3.3 | Q 1. (iv) | Page 58

12 : square = square : 4 = 8 : 16

#### Say True or False

Exercise 3.3 | Q 2. (i) | Page 58

7 Persons is to 49 Persons as 11 kg is to 88 kg

• True

• False

Exercise 3.3 | Q 2. (ii) | Page 58

10 books is to 15 books as 3 books is to 15 books

• True

• False

Exercise 3.3 | Q 2. (iii) | Page 58

If the weight of 40 books is 8 kg, then the weight of 15 books is 3 kg

• True

• False

Exercise 3.3 | Q 2. (iv) | Page 58

A car travels 90 km in 3 hours with constant speed. It will travel 140 km in 5 hours at the same speed

• True

• False

#### Fill in the blanks

Exercise 3.3 | Q 3. (i) | Page 58

If the cost of 3 pens is ₹ 18, then the cost of 5 pens is _________

Exercise 3.3 | Q 3. (ii) | Page 58

If Karkuzhali earns ₹ 1800 in 15 days, then she earns ₹ 3000 in __________ days

Exercise 3.3 | Q 4 | Page 59

Find whether 12, 24, 18, 36 are in order that can be expressed as two ratios that are in proportion

Exercise 3.3 | Q 5. (i) | Page 59

Write the mean and extreme terms in the following ratios and check whether they are in proportion.

78 litre is to 130 litre and 12 bottles is to 20 bottles

Exercise 3.3 | Q 5. (ii) | Page 59

Write the mean and extreme terms in the following ratios and check whether they are in proportion.

400 gm is to 50 gm and 25 rupees is to 625 rupees

Exercise 3.3 | Q 6 | Page 59

The America’s famous Golden Gate bridge is 6480 ft long with 756 ft tall towers. A model of this bridge exhibited in a fair is 60 ft long with 7 ft tall towers. Is the model, in proportion to the original bridge?

Exercise 3.3 | Q 7 | Page 59

If a person reads 20 pages of a book in 2 hours, how many pages will he read in 8 hours at the same speed?

Exercise 3.3 | Q 8 | Page 59

Cholan walks 6 km in 1 hour at constant speed. Find the distance covered by him in 20 minutes at the same speed

Exercise 3.3 | Q 9 | Page 59

The number of correct answers given by Kaarmugilan and Kavitha in a quiz competition are in the ratio 10 : 11. If they had scored a total of 84 points in the competition, then how many points did Kavitha get?

Exercise 3.3 | Q 10 | Page 59

Karmegam made 54 runs in 9 overs and Asif made 77 runs in 11 overs. Whose run rate is better? (run rate = ratio of runs to overs)

Exercise 3.3 | Q 11 | Page 59

You purchase 6 apples for ₹ 90 and your friend purchases 5 apples for ₹ 70. Whose purchase is better?

#### Objective Type Questions

Exercise 3.3 | Q 12 | Page 59

Which of the following ratios are in proportion?

• 3 : 5, 6 : 11

• 2 : 3, 9 : 6

• 2 : 5, 10 : 25

• 3 : 1, 1 : 3

Exercise 3.3 | Q 13 | Page 59

If the ratios formed using the numbers 2, 5, x, 20 in the same order are in proportion, then ‘x’ is

• 50

• 4

• 10

• 8

Exercise 3.3 | Q 14 | Page 59

If 7 : 5 is in proportion to x : 25, then ‘x’ is

• 27

• 49

• 35

• 14

Exercise 3.3 | Q 15 | Page 59

If a barbie doll costs ₹ 90, then the cost of 3 such dolls is ₹ __________

• 260

• 270

• 30

• 93

Exercise 3.3 | Q 16 | Page 59

If a man walks 2 km in 15 minutes, then he will walk _____ km in 45 minutes

• 10

• 8

• 6

• 12

Exercise 3.4 [Pages 60 - 61]

### Tamil Nadu Board Samacheer Kalvi solutions for Class 6th Mathematics Term 1 Answers Guide Chapter 3 Ratio and ProportionExercise 3.4 [Pages 60 - 61]

#### Miscellaneous Practice Problems

Exercise 3.4 | Q 1 | Page 60

The maximum speed of some of the animals are given below:
the Elephant = 20 km/h;
the Lion = 80 km/h;
the Cheetah = 100 km/h
Find the following ratios of their speeds in simplified form and find which ratio is the least?
(i) the Elephant and the Lion
(ii) the Lion and the Cheetah
(iii) the Elephant and the Cheetah

Exercise 3.4 | Q 2 | Page 60

A particular high school has 1500 students 50 teachers and 5 administrators. If the school grows to 1800 students and the ratios are maintained, then find the number of teachers and administrators

Exercise 3.4 | Q 3 | Page 60

I have a box which has 3 green, 9 blue, 4 yellow, 8 orange coloured cubes in it.

(a) What is the ratio of orange to yellow cubes?
(b) What is the ratio of green to blue cubes?
(c) How many different ratios can be formed, when you compare each colour to anyone of the other colours?

Exercise 3.4 | Q 4 | Page 60

A gets double of what B gets and B gets double of what C gets. Find A : B and B : C and verify whether the result is in proportion or not

Exercise 3.4 | Q 5 | Page 60

The ingredients required for the preparation of Ragi Kali, a healthy dish of Tamilnadu is given below.

 Ingredients Quantity Ragi flour 4 cups Raw rice broken 1 cup Water 8 cups Sesame oil 15 ml Salt 10 mg

(a) If one cup of ragi flour is used then, what would be the amount of raw rice required?
(b) If 16 cups of water is used, then how much of ragi flour should be used?
(c) Which of these ingredients cannot be expressed as a ratio? Why?

#### Challenging Problems

Exercise 3.4 | Q 6 | Page 61

Antony brushes his teeth in the morning and night on all days in a week. Shabeen brushes her teeth only in the morning. What is the ratio of the number of times they brush their teeth in a week?

Exercise 3.4 | Q 7 | Page 61

Thirumagal's mother wears a bracelet made of 35 red beads and 30 blue beads. Thirumagal wants to make smaller bracelets using the same two coloured beads in the same ratio. In how many different ways can she make the bracelets?

Exercise 3.4 | Q 8 | Page 61

Team A wins 26 matches out of 52 matches. Team B wins three-fourth of 52 matches played. Which team has a better winning record?

Exercise 3.4 | Q 9 | Page 61

In a school excursion, 6 teachers and 12 students from 6th standard and 9 teachers and 27 students from 7th standard, 4 teachers and 16 students from 8th standard took part. Which class has the least teacher to student ratio?

Exercise 3.4 | Q 10 | Page 61

Fill the boxes using any set of suitable numbers 6 : square : : square : 15

Exercise 3.4 | Q 11 | Page 61

From your school diary, write the ratio of the number of holidays to the number of working days in the current academic year

Exercise 3.4 | Q 12 | Page 61

If the ratio of Green, Yellow and Black balls in a bag is 4 : 3 : 5, then

(a) Which is the most likely ball that you can choose from the bag?
(b) How many balls in total are there in the bag if you have 40 black balls in it?
(c) Find the number of green and yellow balls in the bag.

## Chapter 3: Ratio and Proportion

Exercise 3.1Exercise 3.2Exercise 3.3Exercise 3.4

## Tamil Nadu Board Samacheer Kalvi solutions for Class 6th Mathematics Term 1 Answers Guide chapter 3 - Ratio and Proportion

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Concepts covered in Class 6th Mathematics Term 1 Answers Guide chapter 3 Ratio and Proportion are Concept of Ratio, Concept of Equivalent Ratios, Concept of Proportion, Concept of Unitary Method.

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