Tamil Nadu Board of Secondary EducationSSLC (English Medium) Class 7th

# Tamil Nadu Board Samacheer Kalvi solutions for Class 7th Mathematics Term 1 Answers Guide chapter 4 - Direct and Inverse Proportion [Latest edition]

## Chapter 4: Direct and Inverse Proportion

Exercise 4.1Exercise 4.2Exercise 4.3
Exercise 4.1 [Pages 76 - 77]

### Tamil Nadu Board Samacheer Kalvi solutions for Class 7th Mathematics Term 1 Answers Guide Chapter 4 Direct and Inverse ProportionExercise 4.1 [Pages 76 - 77]

#### Fill in the blanks

Exercise 4.1 | Q 1. (i) | Page 76

If the cost of 8 apples is ₹ 56 then the cost of 12 apples is _______

Exercise 4.1 | Q 1. (ii) | Page 76

If the weight of one fruit box is 3 1/2 kg, then the weight of 6 such boxes is _______

Exercise 4.1 | Q 1. (iii) | Page 76

A car travels 60 km with 3 liters of petrol. If the car has to cover the distance of 200 km, it requires _________ liters of the petrol.

Exercise 4.1 | Q 1. (iv) | Page 76

If 7 m cloth costs ₹ 294, then the cost of 5 m of cloth is ________

Exercise 4.1 | Q 1. (v) | Page 76

If a machine in a cool drinks factory fills 600 bottles in 5 hrs, then it will fill ________ bottles in 3 hours

#### Say True or False

Exercise 4.1 | Q 2. (i) | Page 76

Distance travelled by a bus and time taken are in direct proportion

• True

• False

Exercise 4.1 | Q 2. (ii) | Page 76

Expenditure of a family to number of members of the family are in direct proportion

• True

• False

Exercise 4.1 | Q 2. (iii) | Page 76

Number of students in a hostel and consumption of food are not in direct proportion.

• True

• False

Exercise 4.1 | Q 2. (iv) | Page 77

If Mallika walks 1 km in 20 minutes, then she can cover 3 km in 1 hour.

• True

• False

Exercise 4.1 | Q 2. (v) | Page 77

If 12 men can dig a pond in 8 days, then 18 men can dig it in 6 days

• True

• False

Exercise 4.1 | Q 3 | Page 77

A dozen bananas costs ₹ 20. What is the price of 48 bananas?

Exercise 4.1 | Q 4 | Page 77

A group of 21 students paid ₹ 840 as the entry fee for a magic show. How many students entered the magic show if the total amount paid was ₹ 1680?

Exercise 4.1 | Q 5 | Page 77

A birthday party is arranged in third floor of a hotel. 120 people take 8 trips in a lift to go to the party hall. If 12 trips were made how many people would have attended the party?

Exercise 4.1 | Q 6 | Page 77

The shadow of a pole with height of 8 m is 6 m. If the shadow of another pole measured at the same time is 30 m, find the height of the pole?

Exercise 4.1 | Q 7 | Page 77

A postman can sort out 738 letters in 6 hours. How many letters can be sorted in 9 hours?

Exercise 4.1 | Q 8 | Page 77

If half a meter of cloth costs ₹ 15. Find the cost of 8 1/3 meters of the same cloth

Exercise 4.1 | Q 9 | Page 77

The weight of 72 books is 9 kg. What is the weight of 40 such books (using unitary method)

Exercise 4.1 | Q 10 | Page 77

Thamarai pages ₹ 7500 as rent for 3 months. With the same rate how much does she have to pay for 1 year (using unitary method)

Exercise 4.1 | Q 11 | Page 77

If 30 men can reap a field in 15 days, then in how many days can 20 men reap the same field? (using unitary method)

Exercise 4.1 | Q 12 | Page 77

Valli buys 10 pens for ₹ 180 and Kamala buys 8 pens for ₹ 96. Can you say who bought the pen cheaper? (using unitary method)

Exercise 4.1 | Q 13 | Page 77

A motorbike requires 2 litres of petrol to cover 100 kilometers. How many litres of petrol will be required to cover 250 kilometers? (using unitary method)

#### Objective type questions

Exercise 4.1 | Q 14 | Page 77

If the cost of 3 books is ₹ 90, then find the cost of 12 books.

• ₹ 300

• ₹ 320

• ₹ 360

• ₹ 400

Exercise 4.1 | Q 15 | Page 77

If Mani buys 5 kg of potatoes for ₹ 75 then he can buy _______ kg of potatoes for ₹ 105

• 6

• 7

• 8

• 5

Exercise 4.1 | Q 16 | Page 77

35 cycles were produced in 5 days by a company then ________ cycles will be produced in 21 days

• 150

• 70

• 100

• 147

Exercise 4.1 | Q 17 | Page 77

An aircraft can accommodate 280 people in 2 trips. It can take ________ trips to take 1400 people

• 8

• 10

• 9

• 12

Exercise 4.1 | Q 18 | Page 77

Suppose 3 kg of sugar is used to prepare sweets for 50 members, then ______ kg of sugar is required for 150 members

• 9

• 10

• 15

• 6

Exercise 4.2 [Page 80]

### Tamil Nadu Board Samacheer Kalvi solutions for Class 7th Mathematics Term 1 Answers Guide Chapter 4 Direct and Inverse ProportionExercise 4.2 [Page 80]

#### Fill in the blanks

Exercise 4.2 | Q 1. (i) | Page 80

16 taps can fill a petrol tank in 18 minutes. The time taken for 9 taps to fill the same tank will be _________ minutes

Exercise 4.2 | Q 1. (ii) | Page 80

If 40 workers can do a project work in 8 days, then _________ workers can do it in 4 days

Exercise 4.2 | Q 2 | Page 80

6 pumps are required to fill a water sump in 1 hr 30 minutes. What will be the time taken to fill the sump if one pump is switched off?

Exercise 4.2 | Q 3 | Page 80

A farmer has enough food for 144 ducks for 28 days. If he sells 32 ducks how long will the food last?

Exercise 4.2 | Q 4 | Page 80

It takes 60 days for 10 machines to dig a hole. Assuming that all machines work at the same speed, how long will it take 30 machines to dig the same hole?

Exercise 4.2 | Q 5 | Page 80

Forty students stay in a hostel. They had food stock for 30 days. If the students are doubled then for how many days the stock will last?

Exercise 4.2 | Q 6 | Page 80

Meena had enough money to send 8 parcels each weighing 500 grams through a courier service. What would be the weight of each parcel, if she has to send 40 parcels for the same money?

Exercise 4.2 | Q 7 | Page 80

It takes 120 minutes to weed a garden with 6 gardeners. If the same work is to be done in 30 minutes, how many more gardeners are needed?

Exercise 4.2 | Q 8 | Page 80

Neelaveni goes by bicycle to her school every day. Her average speed is 12 km/hr and she reaches school in 20 minutes. What is the increase in speed, If she reaches the school in 15 minutes?

Exercise 4.2 | Q 9 | Page 80

A toy company requires 36 machines to produce car toys in 54 days. How many machines would be required to produce the same number of car toys in 81 days?

#### Objective type questions

Exercise 4.2 | Q 10 | Page 80

12 cows can graze a field for 10 days. 20 cows can graze the same field for _______ days

• 15

• 18

• 6

• 8

Exercise 4.2 | Q 11 | Page 80

4 typists are employed to complete a work in 12 days. If two more typists are added, they will finish the same work in _________ days

• 7

• 8

• 9

• 10

Exercise 4.3 [Page 81]

### Tamil Nadu Board Samacheer Kalvi solutions for Class 7th Mathematics Term 1 Answers Guide Chapter 4 Direct and Inverse ProportionExercise 4.3 [Page 81]

#### Miscellaneous Practice problems

Exercise 4.3 | Q 1. (i) | Page 81

If the cost of 7 kg of onions is ₹ 84 find the following :

Weight of the onions bought for ₹ 180

Exercise 4.3 | Q 1. (ii) | Page 81

If the cost of 7 kg of onions is ₹ 84 find the following :

The cost of 3 kg of onions

Exercise 4.3 | Q 2 | Page 81

If C = kd

(i) what is the relation between C and d?

(ii) find k when C = 30 and d = 6

(iii) find C, when d = 10

Exercise 4.3 | Q 3 | Page 81

Every 3 months Tamilselvan deposits ₹ 5000 as savings in his bank account. In how many years he can save ₹ 1,50,000

Exercise 4.3 | Q 4 | Page 81

A printer, prints a book of 300 pages at the rate of 30 pages per minute. Then, how long will it take to print the same book if the speed of the printer is 25 pages per minute?

Exercise 4.3 | Q 5 | Page 81

If the cost of 6 cans of juice in ₹ 210, then what will be the cost of 4 cans of juice?

Exercise 4.3 | Q 6 | Page 81

x varies inversely as twice of y. Given that when y = 6, the value of x is 4. Find the value of x when y = 8

Exercise 4.3 | Q 7 | Page 81

A truck requires 108 liters of diesel for covering a distance of 594 km. How much diesel will be required to cover a distance of 1650 km?

#### Challenge Problems

Exercise 4.3 | Q 8 | Page 81

If the cost of a dozen soaps is ₹ 396, what will be the cost of 35 such soaps?

Exercise 4.3 | Q 9 | Page 81

In a school there is 7 periods a day each of 45 minutes duration. How long each period is if the school has 9 periods a day assuming the number of hours to be the same?

Exercise 4.3 | Q 10 | Page 81

Cost of 105 notebooks is ₹ 2415. How many notebooks can be bought for ₹ 1863?

Exercise 4.3 | Q 11 | Page 81

10 farmers can plough a field in 21 days. Find the number of days reduced if 14 farmers ploughed the same field?

Exercise 4.3 | Q 12 | Page 81

A flood relief camp has food stock by which 80 people can be benefited for 60 days. After 10 days 20 more people have joined the camp. Calculate the number of days of food shortage due to the addition of 20 more people?

Exercise 4.3 | Q 13 | Page 81

Six men can complete a work in 12 days. Two days later, 6 more men joined them. How many days will they take to complete the remaining work?

## Chapter 4: Direct and Inverse Proportion

Exercise 4.1Exercise 4.2Exercise 4.3

## Tamil Nadu Board Samacheer Kalvi solutions for Class 7th Mathematics Term 1 Answers Guide chapter 4 - Direct and Inverse Proportion

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Concepts covered in Class 7th Mathematics Term 1 Answers Guide chapter 4 Direct and Inverse Proportion are Concept of Ratio, Concept of Proportion, Concept of Direct Proportion, Concept of Unitary Method, Concept of Inverse Proportion.

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