## KSEEB Solutions for Class 8 Karnataka State Syllabus

Expert Teachers at KSEEBSolutions.com has created KSEEB Solutions for Class 8 all subjects Pdf Free Download in English Medium and Kannada Medium of 8th Standard Karnataka Textbook Solutions, Textbook Questions and Answers, Guide, Notes Pdf, Model Question Papers with Answers, Study Material, are part of KSEEB Solutions. Here we have given KTBS Karnataka State Board Syllabus for Class 8 Textbook Solutions based on NCERT Syllabus.

## Karnataka State Board Syllabus for Class 8 Textbooks Solutions

KSEEB Solutions for Class 8 Karnataka State Syllabus

We hope the given KSEEB Solutions for Class 8 all subjects Pdf Free Download in English Medium and Kannada Medium of 8th Std Karnataka Textbook Solutions, Textbook Questions and Answers, Guide, Notes Pdf, Model Question Papers with Answers, Study Material will help you. If you have any queries regarding KTBS Karnataka State Board Syllabus for Class 8 Textbooks Solutions based on NCERT Syllabus, drop a comment below and we will get back to you at the earliest.

## KSEEB Solutions for Class 8 Hindi वल्लरी Karnataka State Syllabus

Expert Teachers at KSEEBSolutions.com has created KSEEB Solutions for Class 8 Hindi वल्लरी Pdf Free Download in English Medium and Kannada Medium of 8th Standard Karnataka Hindi Textbook Solutions Answers Guide, Textbook Questions and Answers, Notes Pdf, Model Question Papers with Answers, Study Material, are part of KSEEB Solutions for Class 8. Here we have given 3rd Language KTBS Karnataka State Board Syllabus for Class 8 Hindi Textbook Solutions Vallari.

## Karnataka State Board Syllabus for Class 8 Hindi Solutions वल्लरी

8th Class Hindi Textbook Solutions Karnataka State Syllabus

सेतुबंध

व्याकरण और रचना

We hope the given KSEEB Solutions for Class 8 Hindi वल्लरी Pdf Free Download in English Medium and Kannada Medium of 8th Std Karnataka Hindi Textbook Answers Solutions Guide, Textbook Questions and Answers, Notes Pdf, Model Question Papers with Answers, Study Material will help you. If you have any queries regarding Third Language KTBS Karnataka State Board Syllabus for Class 8 Hindi Textbooks Solutions Vallari, drop a comment below and we will get back to you at the earliest.

## Karnataka Solutions for Class 8 English Chapter 1 A Day in the Ashram

You can Download A Day in the Ashram Questions and Answers Pdf, Notes, Summary Class 8 English Karnataka State Board Solutions to help you to revise complete Syllabus and score more marks in your examinations.

## A Day in the Ashram Questions and Answers, Notes, Summary

Question 1.
Who named the school ‘Shantiniketan”?
Maharshi Rabindranath Tagore named the school Shantiniketan.

Question 2.
When does the day in Shantiniketan begin?
The day begins before dawn, when the birds chirps in almoki groves.

Question 3.
What is termed by Gurudeva as, the darling of our hearts’?
Shantiniketan is termed as the darling of our hearts by Gurudev.

Question 4.
Which phrase used in paragraph 1 means’ both the old and the young people ‘?
The phrase ‘old and young alike’ means both the old and the young people in Paragraph 1

Question 5.
The boys in Shantiniketan get up early in the morning . Who else are early risers ?
The birds in amloki grooves are the early risers with the boys in Shantiniketan.

C2. Work in pairs, Answer the following questions and share vour responses with vour partners.

Question 1.
What kind of work do the boys practice in the afternoon?
The boys in Shantiniketan practice Carpentry, spinning, weaving, drafting, painting music etc in the afternoon. They learn these types of handwork.

Question 2.
What are Shantiniketam boys famous for.?
The Shantiniketan boys are famous for sports and games everywhere.

Question 3.
How do the boys spend their evenings before they go to bed?
The boys spend their evening before they go to bed by telling fairy tales, recitation of short dramas, singing of Gurudeva’s songs and gatherings of different schools.

Question 4.
Read the second paragraph carefully. What is describes is :
a) the greatness of the teacher
b) the song of the choristers
c) the lessons taught in the Ashram
d) the silent meditation of the inmates
b) The song of the choristers

Question 1.
What is the effect of the song of the choristers on the listeners?
When the Choristers are singing their morning hymns and they go around the Ashram, one can hear the voices. The beauty of the sound in the silent morning air and the sense of Joy and reverence which it brings, give peace to the soul.

Question 2.
How are classes held in the afternoon in Shantiniketan?
in the afternoon, at two o’clock, the afternoon classes begin. Handiwork is practiced. The work is chiefly with hands and the mind. The boys practice handicrafts such as carpentry, mechanics, spinning, weaving, drafting, painting and playing musical instruments. This helps the boys to discover their tastes and talents.

Question 3.
How do the boys spend their evenings in Shantiniketan?
In the evening, the boys return after playing in the field. They meditate for a short time. They take part in cultural activities such as singing songs, reciting and enacting dramas, telling fairy tales, and attending school gatherings.

Question 4.
How are the classes at Shantiniketan different from the classes in other schools?
The classes at Shantiniketan is completely different from the classes of other schools. In Shantiniketan, the teaching is student or child-centered. The students sit with their teacher in the open air under the trees. There is no classrooms. The group of 8 to 10 students has one teacher.

Very few books are’ used. Most part of learning is done through conversation. The students could ask questions and clear their doubts. On the contrary in other schools, the teaching is teacher-oriented (centered). One teacher in the class should teach 50 to 60 students, many books and subjects.

Her subjects are compulsory whether the students like or dislike. The answer should be by heart. Handiworks are very less and they were not given much importance. The students do not have freedom.

Question 5.
How does Shantiniketan prepare the boys for life?
The classes in Shanthinikethan not only CPC Honest Success Series teaches subjects but also handiwork’s. Here the importance is given to the all-round development of the students. The teacher-student relationship is cordial and the teachers find out the student’s talent and encourage them to learn that subject.

Handiwork is also helpful to build their future and succeed in that particular field. If the students learn their talented subjects they would definitely gain skills. It is helpful in their future life. Thus Shantiniketan helps and prepare the students for life.

C4. The writer has used the phrase ‘living education’ to describe the experience in Shantiniketan. Some features of education are given below. Classify them into the categories of ‘living education’ and ‘unimaginative instruction. Discuss in groups.

C5. Write a paragraph describing your our idea of a good school.
A Good School:
The teachers are pillars for school. They must be educated, kind, learned, disciplined and have lot of patience. They must love their profession and children. Magnificent building, spacious class rooms and big fields are not as much important. The way of teaching should encourage the students creative thinking.

Give importance to boost the children’s talent. The students should have free ness to ask questions. Handiwork’s and games and sports should include in their curriculum. The students should also be obedient, disciplined and love to learn.

Vocabulary:

VI. Observe The use of nearer and nearer in the following example.

e.g. You can hear the voice in the distance, drawing nearer and nearer.

Fill in the blanks in the following sentences with the help of the clues given in brackets.

1. When you blow air into a balloon in becomes ……… and ………. [big]
2. As the train approaches the station, the should of its whistle becomes ……….. and ………. [loud]
3. If you practice harder and harder, you will feel ……… and ……… [much] confident to solve the problems.
4. Man has been constructing ………. and ………. [tall] buildings in the cities.
5. As you move away from a tree it looks ……… and ………… [small]

1. bigger, bigger [big]
2. louder, louder [loud]
3. more, more [much]
4. taller, taller [tall]
5. smaller, smaller [small]

V2. Fill in the blanks using some and others.

e.g. Some prefer capentry others prefer mechanical work.

1. You can see shining objects in the sky at night. …….. of them are planets ………. are stars.
2. There are many fruits in the basket. ………. of them are mangoes, ……… are bananas.
3. After the bell, ……….. boys went out to play ………. went home.
4. There are a few books on the table. ……….. of them are text books, ……….. are not.
5. ………. of the apples in the basket are good ………… are bad.

1. some, others
2. some, others
3. some, others
4. some, others
5. some, others

V3. Fill in the blanks choosing the appropriate words from the words given in brackets.

Last week [week, weak] I went to a shop to buy [by buy] a pair of trousers. I bought one and returned home. When I tried to wear [wear., ware] it, I found that it was rather loose [loose, lose]. So I went to the shop in fury. But the shopkeeper was out. So I had to wait [wait, weight] for half an hour. When he returned. I shouted at him, “See how big it is. It fits an elephant”. He replied coolly looking at my pot belly, “Therefore we offered it to your, Sir”.

V4. Fill in the blanks using the antonyms of the words underlined.

1. Krishna was a …….. king, while his friend was a ……… man.
2. Madanika is ……… but her brother is ………..
3. Radhika is ……… but her sister is ………..
4. Silk is ……..; iron is ……..
5. I can ……….. stories but ………… lessons.

1. rich, poor
2. tall, short.
3. strong, weak
4. soft, hard
5. remember, remember

V5. Classify the following into prefixes and suffixes :

re, less, fill, mis, non, anti, ment, able, ish, in ex, ion, ship, multi, sub, ive.
One example for each is given.

 Prefixes Suffixes re-mis, non, anti, in ex, multi sub -less, full, ment, able ish, ion, ship, ive

V6. Fill in the blanks with the appropriate prefixes choosing from the ones given above [V5]

1. The school reopens on ………..
2. Manish eats meat. He is a ………
3. Terrorists are ……… social.
4. BakraNangal is a ………. purpose project.
5. Plastic chairs are ………. expensive.

1. June 1
2. non – vegetarian.
3. anti
4. multi
5. in

V7. Fill in the blanks with appropriate suffixes choosing from the ones given above [V5]

1. He was comfort…….. in his seat on the train.
2. He was acting in a very chill…….. way.
3. She looked at her reflect………. in the mirror.
4. India has won the Champion……… at Sharjah.
5. The rate of employ………. in India has been rising steadily.

1. table
2. dish
3. ion
4. ship
5. ment

Your teacher will say these words. listen and write them in two different columns a few example are given.

 Words with / i: / eg mean, priest, lead, seek, clean, read, speed, meet, breed, sheet, dream, fees, Leed, learn Words with /i / eg spit, win, fit, mist, kit, grin, mix chit, hid, trim

1. Do not use it in a closed room. (3)
2. Do not eat or drink it (2)
3. Do not breathe it in (6)
4. Do not store it in a cupboard. Keep it cool. (4)
5. Do not but in it. (1)
6. Keep it in a place where a child cannot go near it. (5)

D. GRAMMAR
Read the following passage. underline the common nouns. Say whether they are countable, that is whether they can be wanted one, two etc., or whether they are uncountable. that is, they cannot be counted, list them under different columns. Two examples are given.

There was a merchant in a town. His name was Parashuramappa. He had many friends. They helped him in selling milk all over the town. Parashuramappa loved to live in peace. Also, he always spoke the truth. These qualities endeared him to all the people in the locality.

 Countable Nouns Uncountable Nouns People, merchant, town, friends milk, peace, truth

Fill in the blanks using ‘a,’ ‘an’ or ‘the’ only

1. Abdul is an excellent football player. As a student, he won many prizes. Now he has joined a .multinational company. The company encourages him to play for the state-level tournaments.

2. Democracy is the best form of government for all the people who have the right to vote. Even in the emergency, the people do not j lose their…. rights, in that form of government.

3. … Peter lives in the same locality as I do. His father is an Assistant Engineer. He loves … music and… sports. His most favorite sports is … is cricket.

Look at the following pairs of sentences. Why is ‘the’ (the definite article) used in some cases but not in others? Discuss with your partner and write the reasons. Answer the following questions by filling in the blanks. :

1. …….. rose is a beautiful flower
3. Do you have ……. ticket? (The ticket collector to the passenger )
4. Here are ……. tickets
5. It is ……… e-mail
6. I have not yet read …….. e-mail

1. A
2. The
3. the
4. the
5. an
6. the

What do you understand after doing these exercises? Answer the following questions by filling in the blanks.

1. Nouns can be countable or Uncountable
2. Countable can be singular or plural.
3. ‘a’, ‘an’ and they are articles.
4. ‘a’, and ‘an’ are used only with countable nouns.
5. ‘The’ can be used with both singular and plural forms of nouns,
6. The is called the definite article, ‘a’ and ‘an’ are called indefinite. Articles.

1. Uncountable
2. plural
3. the
4. countable
5. plural
6. article, indefinite

Other Determines
Apart from a / an / the, some of the other determiners are a few, many, several, a pair of, a piece of, a lot of etc.
Another type of determiners are Demonstratives namely
This- these
That- those.

Frame sentences using the above determiners.

1. There are ……… students in the assembly hall.
2.  I have ………. books,.
4. Sindhu purchased ………. of gloves.
5. Ranga tasted ……….. sweet.
6. ……….. people attended the fair.
7. ……… is fruit and ……….. are fruits.
8. ………. is a toy and ……….. are toys.

1. a few
2. many
3. several
4. a pair
5. a piece of
6. A lot of
7. This, these
8. That, those

E. Writing:
Choice of words :

Read the following descriptions. Substitute each with an appropriately descriptive word from the ones given in brackets below. One example is given.

1. He often promises to do things, but half the time he forgets ………….
2. She is always here on time ……….
3. I don’t think he has done any work since he has been here, ……….
4. She finds it difficult to meet people and talk to strangers ………..
5. He can work in any department and it doesn’t matter to him if he is on his own or part of a team ………..

1. Forgetful
2. punctual
3.  azy
4. shy
5. flexible

Question 1.
Who is the author of the lesson ‘A Day in the Ashram’?
C. F. Andrews is the author of the lesson ‘A Day in the Ashram’.

Question 2.
What do the choristers of the Ashram do?
The choristers go round the Ashram singing hymns.

Question 3.
Why do the boys go into the fields with their asanas?
The boys go into the fields to meditate alone in the silence of the morning.

Question 4.
There are no classrooms in Shantiniketan. Where do the boys sit and learn?
The boys sit in small groups of eight or ten under the trees with their teachers.

Question 5.
What does C.F. Andrews call the education imparted in the Ashram?
C. F. Andrews calls the education imparted in the Ashram “Living education”.

Question 6.
When do the afternoon classes begin?
The afternoon classes begin at two o’clock.

Question 7.
Give a list of the handicrafts practiced by the boys.

1. Carpentry
2. spinning
3. weaving
4. drafting
5. painting
6. mechanical work
7. playing musical instruments.

Question 8.
When do the boys go to bed?
The boys go to bed by nine o’clock at night.

Multiple Choice Questions:

Four alternatives are given for each of the following questions/ incomplete statements. Choose the most appropriate one.

Question 1.
‘A Day in the Ashram’ is written by
A) A.L. Hendricks
B) Charles Dickens
C) C.F Andrews
D) Daniel Miller
C) C.F Andrews

Question 2.
Shantiniketan was founded by
A) Rabindranath Tagore
B) C.F Andrews
C) Mahatma Gandhi
D) C.V. Raman
A) Rabindranath Tagore

Question 3.
Who has referred to Shantiniketan as ‘The darling of our hearts’?
A) Mahatma Gandhi
B) Rabindranath Tagore
C) C.F. Andrews
D) Sarojini Naidu
B) Rabindranath Tagore

Question 4.
In the ashram, what gives peace to the soul?
A) The singing of the birds in the amloki groves
B) The boys meditating in the fields in the morning
C) The beauty of the sound of the choristers singing in the morning
D) The boys standing in the shade of the trees and singing hymns.
C) The beauty of the sound of the choristers singing in the morning

Question 5.
A greater part of the teaching in Shantiniketan is carried on through
A) books
B) discussions
C) conversation
D) examinations
C) conversation

Question 6.
In the ashram, the boys’ own natural tastes are discovered through
A) singing of hymns
B) the handiwork they practice
C) sports and games
D) reciting of short dramas
B) the handiwork they practice

Question 7.
The Shantiniketan boys are famous for
A) sports and games
B) studies
C) discipline
D) knowledge
A) sports and games

### A Day in the Ashram Summary in English

A day in the Ashram’ is the experience of C. F. Andrews while he stayed in the Ashram known as ‘Shanthiniketan’founded by Rabindranath Tagore, he was famous as ‘Gurudeva’. Shantiniketan was his dream school. He was one of the important educationists. All his ideas are practically applied in this school. It is one of the important internationally popular schools.

1. The beauty of Shantiniketan is not found visibly. Its importance lies in its quality of education and the way of teaching. Irrespective of age all who have visited it, appreciate and feel its inner beauty Gurudeva says that all the students learned here never forgot their student life and they reached a very great height in future life. Our ex-Prime Minister Smt. Indira Gandhi was one of the students of Shantiniketan.

## KSEEB Solutions for Class 8 Science Karnataka State Syllabus

Expert Teachers at KSEEBSolutions.com has created KSEEB Solutions for Class 8 Science Pdf Free Download in English Medium and Kannada Medium of 8th Standard Karnataka Science Textbook Solutions Answers Guide, Textbook Questions and Answers, Notes Pdf, Model Question Papers with Answers, Study Material, are part of KSEEB Solutions for Class 8. Here we have given KTBS Karnataka State Board Syllabus for Class 8 Science Textbook Solutions based on NCERT Syllabus.

## Karnataka State Board Syllabus for Class 8 Science Solutions in English Medium

KSEEB Solutions for Class 8 Science New Syllabus

8th Class Science Textbook Solutions Karnataka State Syllabus (OLD Syllabus)

## Karnataka State Board Syllabus for Class 8 Science Solutions in Kannada Medium

8th Class Science Textbook Solutions in Kannada Medium Karnataka State Syllabus

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## KSEEB Solutions for Class 8 Maths Karnataka State Syllabus

Expert Teachers at KSEEBSolutions.com has created KSEEB Solutions for Class 8 Maths Pdf Free Download in English Medium and Kannada Medium of 8th Standard Karnataka Maths Textbook Solutions Answers Guide, Textbook Questions and Answers, Notes Pdf, Model Question Papers with Answers, Study Material, are part of KSEEB Solutions for Class 8. Here we have given KTBS Karnataka State Board Syllabus for Class 8 Maths Textbook Solutions based on NCERT Syllabus.

## Karnataka State Board Syllabus for Class 8 Maths Solutions in English Medium

8th Class Maths Textbook Solutions Karnataka State NEW Syllabus

KSEEB Solutions for Class 8 Maths Chapter 1 Rational Numbers

8th Class Maths Textbook Answers Karnataka State Syllabus Chapter 2 Linear Equations in One Variable

KSEEB 8th Maths Solutions Chapter 3 Understanding Quadrilaterals

Karnataka State Class 8 Maths Solutions Chapter 4 Practical Geometry

Karnataka State Syllabus Class 8 Maths Solutions Pdf Chapter 5 Data Handling

8th Class Maths State Syllabus Solutions Karnataka Chapter 6 Square and Square Roots

Karnataka State Class 8 Maths Solutions Pdf Chapter 7 Chapter 7 Cube and Cube Roots

8th Standard Maths Solutions Karnataka State Syllabus Chapter 8 Comparing Quantities

8th Class Maths Textbook Karnataka State Syllabus Solutions Chapter 9 Algebraic Expressions and Identities

KSEEB Maths Solutions for Class 8 Chapter 10 Visualizing Solid Shapes

8th Standard Maths Guide Karnataka State Syllabus Pdf Chapter 11 Mensuration

8th Standard Maths Notes Karnataka State Syllabus Chapter 12 Exponents and Powers

Karnataka State Syllabus For Class 8 Maths Guide Chapter 13 Direct and Inverse Proportions

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8th Class Maths Textbook Answers Karnataka Chapter 15 Introduction to Graphs

Karnataka State Board Syllabus for Class 8 Maths Chapter 16 Playing with Numbers

8th Class Maths Textbook Solutions Karnataka State Syllabus (OLD Syllabus)

KSEEB Solutions for Class 8 Maths Chapter 1 Playing with Numbers

8th Class Maths Textbook Answers Karnataka State Syllabus Chapter 2 Algebraic Expressions

KSEEB 8th Maths Solutions Chapter 3 Axioms, Postulates and Theorems

Karnataka State Class 8 Maths Solutions Chapter 4 Factorisation

Karnataka State Syllabus Class 8 Maths Solutions Pdf Chapter 5 Squares, Square Roots, Cubes, Cube Roots

8th Class Maths State Syllabus Solutions Karnataka Chapter 6 Theorems on Triangles

Karnataka State Class 8 Maths Solutions Pdf Chapter 7 Rational Numbers

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8th Standard Maths Guide Karnataka State Syllabus Pdf Chapter 11 Congruency of Triangles

8th Standard Maths Notes Karnataka State Syllabus Chapter 12 Construction of Triangles

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Karnataka State Board Syllabus for Class 8 Maths Chapter 16 Mensuration

## Karnataka State Board Syllabus for Class 8 Maths Solutions in Kannada Medium

8th Class Maths Textbook Solutions in Kannada Medium Karnataka State Syllabus

KSEEB Solutions for Class 8 Maths Chapter 1 Sankhyegalondigina Aata

KSEEB Solutions for Class 8 Maths Chapter 2 Bijoktigalu

KSEEB Solutions for Class 8 Maths Chapter 3 Swayam Siddhagalu, Adhara Pratignegalu Mattu Prameyagalu

KSEEB Solutions for Class 8 Maths Chapter 4 Apavartisuvike

KSEEB Solutions for Class 8 Maths Chapter 5 Varga, Vargamulagalu, Ghana Mattu Ghanamulagalu

KSEEB Solutions for Class 8 Maths Chapter 6 Tribhujagala Melina Prameyagalu

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KSEEB Solutions for Class 8 Maths Chapter 8 Ondu Charaksharavulla Sarala Rekhatmaka Samikaranagalu

Karnataka State Board Syllabus for Class 8 Maths Chapter 9 Vanijya Ganitha

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## Karnataka Board Class 8 Science Chapter 8 Describing Motion

### KSEEB Class 8 Science Chapter 8 Textual Questions & Answers

I. Four alternatives are given to each of the following incomplete statement/ question, choose the right answer.

Online Circular Velocity Calculator tool makes the calculation faster, and it shows the result in a fraction of seconds.

Question 1.
Uniform circular motion is called continuously accelerated motion mainly because
(a) direction of motion changes
(b) Speed remains the same
(c) Velocity remains the same
(d) direction of motion does not change
a) direction of motion changes

Question 2.
A cricketer hits a sixer, the cricket ball moves up with a velocity of 2 ms-1 and falls down. Its initial velocity while falling down will be
a) 1 ms-1
b) 1 ms-2
c) 0 ms-1
d) 2 ms-1
c) 0 ms-1

II. Fill in the blanks with suitable words:

Question 1.
S.I. unit of acceleration is ………….
meter per second2/ms-2

Question 2.
Velocity has both speed and ……….
direction

Question 3.
If an object starts from A and comes back to A. It displacement will be ………….
(0) zero

III. Solve

Questions 1.
An object is moving in a circular path of radius 3.5 m. If completes one full cycle, what will be the displacement and what is the distance traveled?
starting point is A and ending point also A.
the displace = 0
Distance traveled = π × 3.5 × 2

Question 2.
An object changes its velocity from 30 ms-1 to 40 ms-1 in a time interval of 2 seconds what is its acceleration?
u = 30 ms-1
v = 40 ms-1
t = 2 sec
a = ?

Question 3.
An object at rest starts moving. It covers a distance of 2 m in one second. It covers a, further distance of 5 m in two seconds in the same direction what is the average velocity and acceleration?
distance traveled on 1 sec = 2 mts
distance traveled on 2 sec = 5 mts
total distance traveled = 2 + 5 = 7 mts
total time taken to cover 7 mts = 1+2 = 3 sec

= $$\frac { 7 }{ 3 }$$ = 2.3 ms-1
Average velocity = 2.3 ms-1
s = ut + $$\frac { 1 }{ 2 }$$ at2
7 = 0  3 +$$\frac { 1 }{ 2 }$$ a × 32
7 =0 + $$\frac { 1 }{ 2 }$$ a × 9
= $$\frac { 9 }{ 2 }$$ a = 7
9a =7 × 2 = 14
a =  $$\frac { 14 }{ 9 }$$  = 1.5 ms-2

Question 1.
If a body is moving with uniform velocity in a given direction its acceleration will be zero, why?
The acceleration will be zero in the above situation since there is no change in velocity in unit time.

Question 2.
Distinguish between speed and velocity.

1. Speed
• Speed is the distance traveled by an object in unit time
• Speed = $$\frac { distance }{ time }$$
• Speed is a scalar quantity
• Speed has the only magnitude
2. Velocity
• Velocity is the rate of displacement of the body in unit time.
• Velocity =$$\frac { displacement }{ time }$$
• Velocity is a vector quantity
• It has both magnitude and direction.

Question 3.
Distinguish between distance traveled and displacement.

1. Distance traveled
• Distance traveled is the length of actual path traveled by a body from one position to another.
• It is a scalar quantity
• It has an only numerical value
2. Displacement
• Displacement is the shortest path between initial and final position of the moving body.
• It is a vector quantity
• If has both numerical value and direction.

Question 4.
What are uniform and non-uniform speed?

1. If an object covers equal distance in equal intervals of time, it is said to be uniform motion.
2. non-uniform motion: If an object covers unequal distance in equal intervals of time, it is said to be non uniform motion.

Question 5.
While mentioning acceleration the time is mentioned two times, why?
Velocity is the rate of displacement of a body in unit time.
V =$$\frac { displacement }{ time }$$
Acceleration is the change in velocity of a body in unit time.

While mentioning acceleration time is mentioned two times. (Acceleration occurs twice)

V. Extended activity
Represent the following motion by a graph.

Question 1.
Find the acceleration
Ans. Acceleration from the graph
= $$\frac { 40-10 }{ 4-1 }$$ = $$\frac { 30 }{ 3 }$$ = 10 ms-1

Question 2.
Find the time taken when the velocity in 35 ms-1
Time taken to travel a distance of 35 ms-1  is 1.5 seconds.

Question 1.
Define motion?
The change in position of a body with time when compared with that of another body is called motion.

Question 2.
Motion is reflective-substantiate this statement with a suitable example.
Imagine that you are sitting inside the train when the train starts moving you a fee that the persons on the platform are moving backward you feel that you and the other persons inside the train are not moving.
But for a person standing outside the train, the feeling will be that the train, you and the other members inside the compartment are all moving.

Question 3.
An object travels from A to B and then from B to C as shown in the figure.
1. Find the distance traveled and
2. Find the displacement
3. Write the conclusion

Let ABC is a right-angled triangle with B as shown in the actual figure,

1. If a person travels from A to B and then to C the total distance traveled is = (3 m + 4 m) = 7 mts.
2. The displacement is the change in position from A to C
3. displacement value is lesser than the distance traveled.

Question 4.
An object moves from A to A in a circular path of radius 7 m. What is the distance traveled? What is the displacement?
Displacement = Diameter = 2 × radius = 2 × 7= 14 m
Distance traveled = $$\frac { 1 }{ 2 }$$ × circumference
= $$\frac { 1 }{ 2 }$$ × 2 × π × r
= $$\frac { 1 }{ 2 }$$ × 2 × $$\frac { 22 }{ 7 }$$ × 7
= 22 m

Question 5.
Define the following
a) Speed
b) Velocity

1. Speed: is the distance traveled by an object in unit time
2. Velocity: is the rate of displacement of a body in unit time.

Question 6.
An object is moving in a circular path of radius 7 m. To travel from ‘A’ to ‘B’ along the circumference it takes 2 seconds?
Data : radius = 7 m
time = 2 s
average speed = ?
speed = $$\frac { distance traveled }{ time }$$

Question 7.
When can we say that speed and velocity are synonyms.
Speed and velocity will be equal for uniform motions along a straight line. Then it will be one and the same.

Question 8.
What is meant by acceleration?
A change in velocity of a body in unit time or the rate of change of velocity is called acceleration.

Question 9.
For an object moving at a uniform speed in a circular path, though the speed is uniform it is continuously accelerated, why? Give reason.
For an object moving in a circular path, the direction is changing at every point even though the speed is the same. Therefore velocity changes and hence it is continuously accelerated.

Question 10.
An object at rest gains an average velocity of 40 ms-1 in 5 seconds. What will be its acceleration?
Its initial velocity, u = 0
Its final velocity, v = 40 ms-1
Time taken t = 5 second the
rate of change of velocity
$$\frac { 40 }{ 8 }$$ = 8 ms-2
acceleration, a = 8 ms-2

Question 11.
An object at rest starts moving and attains a velocity of 10 ms-1 after 5 seconds. What is the acceleration?
Initial velocity, u = 0
Final velocity, v = 10 ms-1
Time interval, t = 5 second
a = $$\frac { u-v }{ t }$$ = $$\frac { 10 – 0 }{ 5 }$$ = 2 ms-2

Question 12.
An object moving with a uniform velocity of 10 ms-1 comes to rest after 5 seconds. What is the acceleration?
Initial velocity, v = 10 ms-1
Final velocity, u = 0
Time interval, t = 5 second
a = $$\frac { u-v }{ t }$$ =  $$\frac { 0 – 10 }{ 5 }$$ = – 2 ms-2

Question 13.
An object at rest starts moving with a uniform acceleration of 1 ms-2 Calculate the distance traveled by it in 4 seconds.
u = 0
a = 1 ms-2
t = 4 second ,
Distance traveled s = ut + $$\frac { 1 }{ 2 }$$ at2
S = 0 × 4 + $$\frac { 1 }{ 2 }$$ × 1  × 42
=0 + $$\frac { 1 }{ 2 }$$ × 1 × 16 = 18 m

Question 14.
An object starts from rest and attains a uniform acceleration of 4 ms-2 what will be its velocity at the end of half a meter?
u = 0
a = 4 ms-2
s = $$\frac { 1 }{ 2 }$$
v2 = ?
v2= u2 + 2as
v2 = 02 + 2 × 42 × $$\frac { 1 }{ 2 }$$
v2 = 4
v2 = $$\sqrt { 4 }$$ = 2 ms-1

Question 15.
What is the distance-time graph? What are its uses?
Motion can be represented by a time graph. If it represents time on the x-axis and distance traveled on the y-axis, it is called a distance-time graph.

Uses of the distance-time graph are,

1. The distance at which the body is at present from its starting point can be found out.
2. Time taken to cover a definite distance can be determined
3. Since it is uniform motion speed of the body can also be calculated.

Question 16.
What do you infer about the velocity when the velocity-time graph is parallel to the x-axis.
The body is at rest no acceleration.

Question 17.
Define negative acceleration?
It is a Negative acceleration as the moving body reduces its velocity due to applied force, denoted by “-a”.

## KSEEB Solutions for Class 8 Maths Chapter 8 Linear Equations in One Variable Ex 8.2

Students can Download Maths Chapter 8 Linear Equations in One Variable Ex 8.2 Questions and Answers, Notes Pdf, KSEEB Solutions for Class 8 Maths helps you to revise the complete Karnataka State Board Syllabus and score more marks in your examinations.

## Karnataka Board Class 8 Maths Chapter 8 Linear Equations in One Variable Ex 8.2

Question 1.
If 4 is added to a number and the sum is multiplied 3, the result is 30. Find the number.
Let the number be ‘x’.
If 4 is added to it will be x + 4.
Sum is multiplied by 3 the result is 30.
∴ (x + 4)3 = 30
3x +12 = 30
3x = 30 – 12
3x = 18
x = $$\frac { 18 }{ 3 }$$
x = 6
∴The number is 6

Question 2.
Find three consecutive odd numbers whose sum is 219.
Let the odd number be ‘x’.
The next two consecutive numbers are x + 2 and x + 4
x + (x + 2) + (x + 4) = 219
3x + 6 = 219
3x = 219 – 6
3x = 213
x = $$\frac { 213 }{ 3 }$$
x = 71
x + 2 = 71 + 2 = 73
x + 4 = 71 + 4 = 75
Three consecutive odd numbers are 71, 73, 75

Question 3.
A number subtracted by 30 gives 14 subtracted by 3 times the number. Find the number.
Let the number be x
Number subtracted by 30 = 30 – x
14 subtracted by 3 times the number 3x – 14
∴30 – x = 3x – 14
30+ 14 = 3x + x
44 = 4x
x = $$\frac { 44 }{ 4 }$$
x =11
∴ The number is 11

Question 4.
If 5 is subtracted from three times a number the result is 16. Find the number.
Let the number be x, 5 is subtracted from 3 times the number the result is 16.
3x – 5 = 16
3x= 16 + 5
3x = 21
x = $$\frac { 21 }{ 3 }$$
x = 7
∴ The number is 7

Question 5.
Find two numbers such that one of them exceeds the other by 9 and their sum is 81.
Let the number is x. The other number is x + 9.
Their sum is 81
∴ x + (x + 9) = 81
2x = 81 – 9
2x = 72
x = $$\frac{72}{2}$$
x = 36
x + 9 = 36 + 9 = 45
∴ The number are 36 and 45

Question 6.
Prakruthi’s age is 6 time Sahil’s age. After 15 years prakruthi will be 3 times as old as Sahil. Find their age.
Let Sahil’s present age be x. Prakruthi’s present age is 6x, 15 years later Sahil age will be (x + 15) years and Prakruthi age will be (6x + 15) years.
Given that the Prakruthi age will be 3 times as old as Sahil.
∴6x +15 = 3(x + 15)
6x + 15 = 3x + 45
6x – 3x = 45 – 15
3x = 30
x = $$\frac{30}{3}$$ = 10
Sahils age = x = 10 years Prakruthis age = 6x = 6 x 10 = 60 years

Question 7.
Ahmed’s father is thrice as old as Ahmed. After 12 years, his age will be twice that of his son. Find their present age.
Ahmed’s presents age be x
Fathers present age = 3x
12 years later Ahmed’s age = x + 12
and father’s age = 3x + 12
Given 3x + 12 = 2(x + 12)
3x+ 12 = 2x + 24
3x – 2x = 24 – 12
x = 12 years
∴ Ahmed’s age = 12 years
Fathers age = 3x = 3 × 12 = 36 years.

Question 8.
Sanju is 6 years older than his brother Nishu. If the sum of their ages is 28 years what are their present ages.
Let Nishu’s age be ‘x’ Sanju’s age = x + 6
Sum of their ages = 28 x + (x + 6) = 28
2x + 6 = 28
2x = 28 – 6
2x = 22
x = $$\frac{22}{2}$$
x = 11
Nishu’sage = x = 11 years
Sanju’ s age = x + 6 = 11 + 6 = 17 years

Question 9.
Viji is twice as old as his brother Deepu. If the difference of their ages is 11 years, find their present age.
Let Deep’s age be ‘x’, Viji’s age is 2x
Difference of their age = 11
2x – x = 11
x = 11
∴ Deepu’s age = x = 11 years
Viji’s age = 2x = 2 x 11 = 22 years

Question 10.
Mrs. Joseph is 27 years older than her daughter Bindu. After 8 years she will be twice as old as Bindu. Find their present ages.
Let Bindu’s present age be ‘x’ years.
Mrs. Joseph’s present age = x + 27 years.
After 8 years Bindu’s age = x + 8 and Mrs.
Josephs age = x + 27 + 8
= x + 35 years.
Given that x + 35 = 2(x + 8)
x + 35 = 2x + 16
35 – 16 = 2x – x
19 = x
x= 19
Bindu’s present age = 19 years
Mrs.Joseph’s age = x + 27 = 19 + 27 = 46 years

Question 11.
After 16 years Leena will be three times as old as she is now. Find her present age.
Let Leena’s present age be ‘x’ years
16 years later she will be (x + 16) years
Given x + 16 = 3x
16 = 2x
x = $$\frac { 16 }{ 2 }$$
x = 8 years
Leena’ s present age = 8 years

Question 12.
A rectangle has a length which is 5 cm less than twice its breadth. If the length is decreased by 5 cm and breadth is increased by 2 cm the perimeter of the resulting rectangle will be 74 cm. Find the length and breadth of the original rectangle.
Let the breadth of the original rectangle be ‘b’ twice the breadth is 2b.
The length of the rectangle is 5 cm less than twice the breadth.
∴ Length = 2b – 5
If the length is decreased by 5 then length
is 2b – 5 – 5 = 2b – 10
If the breadth is increased by 2cm then breadth is b + 2 cm.
Perimeter of new rectangle = 2(length + breadth)
74 = 2(2b – 10 + b + 2)
74 = 2(3b – 8)
74 + 16 = 6b 90 = 6b
b = $$\frac{90}{6}$$
b = 15cm.
Breadth of the original rectangle = 15 cm
Length of the original rectangle = 2b – 5
= 2 × 15 – 5
= 30 – 5
= 25 cm

Question 13.
The length of a rectangular field is twice its breadth. If the perimeter of the field is 288m. Find the dimensions of the field.
Let breadth of the rectangular field bee ‘x’m
∴ Its length = 2x
Its perimeter = 288
2(1 + b) = 288
2(2x + x) = 288
2(3x) = 288
6x = 288
x = $$\frac { 288 }{ 6 }$$ = 48
Its length = 2x = 2 × 48 = 96m

Question 14.
Srishti’s salary is the same as 4 times Azar’s salary. If together they earn Rs 3750 a month find their individual salaries.
Let Axar’s salary be x. Sristi’s salary is 4x together they earn Rs. 3750
∴ x + 4x = 3750
5x = 3750
x = $$\frac{3750}{5}$$
x = 750
4x = 4 × 750 = 3000
∴ Azar’s salary is Rs.750 and Sristi’s salary is Rs.3000

## KSEEB Solutions for Class 8 Maths Chapter 4 Factorisation Ex 4.1

Students can Download Maths Chapter 4 Factorisation Ex 4.1 Questions and Answers, Notes Pdf, KSEEB Solutions for Class 8 Maths helps you to revise the complete Karnataka State Board Syllabus and score more marks in your examinations.

## Karnataka Board Class 8 Maths Chapter 4 Factorisation Ex 4.1

1. Resolve into factors.

Question i.
x² + xy
x² + xy = x(x + y)

Question ii.
3x² – 6x
3x² – 6x = 3x (x – 2)

Question iii.
(1.6)a² – (0.8)a
(1.6)² – (0.8)a
= (0.8 x 2a²) – (0.8)a
= 0. 8a(2a- 1)

Question iv.
5 – 10m – 20n
5 – 10m -20n = 5(1 – 2m – 4n)

2. Froctorise:

Question i.
a² + ax + ab + bx
a² + ax + ab + bx a(a + x) + b(a + x)
(a + x)(a + b)

Question ii.
3ac + 7bc – 3ad – 7bd
3ac + 7bc – 3ad – 7bd
c(3a + 7b – d(3a + 7b) (3a + 7b) (c-d)

Question iii.
3xy – 6zy – 3xt + 6zt
3y (x – 2z) – 3t(x – 2z)
(x – 2z) (3y – 3t)

Question iv.
y3 + 3y² + 2y – 6 – xy + 3x
y² (y – 3) + 2(y – 3) – x(y – 3)
(y- 3) (y² + 2 – x)

3. Factorise:

Question i.
4a² – 25
4a² – 25
= (2a)² – 52
[a² – b²=(a+b)(a-b)]
= (2a + 5)(2a – 5)

Question ii.
$$x^{2}-\frac{9}{16}$$
Ans.

Question iii.
x4 – y4
x4 – y4
= (x²)² – (y²)²
Identity a² – b² = (a + b)(a – b)
= (x² + y²)(x² – y²)
= (x²+ y²)(x + y)(x – y)

Question iv.
$$\left(7 \frac{3}{10}\right)^{2}-\left(2 \frac{1}{10}\right)^{2}$$
Ans.

Question v.
(0.7)² – (0.3)²
(0.7)² – (0.3)²
Identity a² – b² = (a + b)(a – b)
= (0.7 + 0.3)(0.7 – 0.3)
= (1.0)(0.4)
= 0.4

Question vi.
(5a-2b)²-(2a-b)²