AP Board 5th Class Textbook Solutions Study Material Guide State Syllabus

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AP State Syllabus 5th Class Textbook Solutions Study Material Pdf Free Download

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AP Board 5th Class Maths Solutions 6th Lesson Geometry

Andhra Pradesh AP Board 5th Class Maths Solutions 6th Lesson Geometry Textbook Exercise Questions and Answers.

AP State Syllabus 5th Class Maths Solutions Chapter 6 Geometry

Do these: (TextBook Page No.87)

Question 1.
Read the following points.

AP Board 5th Class Maths Solutions 6th Lesson Geometry 1

Answer:
Point – M, Point – S, Point – U, Point – G, Point – P, Point – R, Point – D.

Question 2.
Write any 5 distinct points from the above.
Answer:
Point – A, Point – B, Point – C, Point – E, Point – F.

Question 3.
Note down any 3 points in your note book and name them.
Answer:

AP Board 5th Class Maths Solutions 6th Lesson Geometry 2

Point – Q, Point – S, Point – T.

AP Board 5th Class Maths Solutions 6th Lesson Geometry

Do this: (TextBook Page No. 88)

Question 1.
Read the following line segments.

AP Board 5th Class Maths Solutions 6th Lesson Geometry 3

Answer:
Line segment – AB, line segment – CD, line segment – PQ, line segment – ST.

Question 2.
Draw some line segments by joining following points and name them.

AP Board 5th Class Maths Solutions 6th Lesson Geometry 4

Answer:

AP Board 5th Class Maths Solutions 6th Lesson Geometry 5

Line segment \(\overline{\mathrm{AB}}\)
Line segment \(\overline{\mathrm{BC}}\)
Line segment \(\overline{\mathrm{CM}}\)
Line segment \(\overline{\mathrm{DK}}\)

Question 3.
Find the line segments in the figures given below.

AP Board 5th Class Maths Solutions 6th Lesson Geometry 6

Answer:
Fig (i): \(\overline{\mathrm{AB}}\), \(\overline{\mathrm{BC}}\), \(\overline{\mathrm{CD}}\), \(\overline{\mathrm{DA}}\)
Fig (ii): \(\overline{\mathrm{AB}}\), \(\overline{\mathrm{BC}}\), \(\overline{\mathrm{CD}}\), \(\overline{\mathrm{DA}}\), \(\overline{\mathrm{EF}}\), \(\overline{\mathrm{GH}}\), \(\overline{\mathrm{FG}}\), \(\overline{\mathrm{EH}}\), \(\overline{\mathrm{AE}}\), \(\overline{\mathrm{BF}}\), \(\overline{\mathrm{CG}}\), and \(\overline{\mathrm{DH}}\).

AP Board 5th Class Maths Solutions 6th Lesson Geometry

Do this: (TextBook Page No. 90)

Observe the following rays and name them.

AP Board 5th Class Maths Solutions 6th Lesson Geometry 7

Answer:

OA ray, BC ray, DE ray and PQ ray.

Do this: (TextBook Page No. 91)

Question 1.
Read the following lines.

AP Board 5th Class Maths Solutions 6th Lesson Geometry 8

Answer:
Line AB, Line PQ, Line MN, Line XY.

Question 2.
Take any two points and draw a line.
Answer:

AP Board 5th Class Maths Solutions 6th Lesson Geometry 9

AP Board 5th Class Maths Solutions 6th Lesson Geometry

Exercise 1:

Question 1.
Take any six points on a paper and name them.
Answer:

AP Board 5th Class Maths Solutions 6th Lesson Geometry 10

Question 2.
Join the points given below. Name the line segments so formed in the figures.

AP Board 5th Class Maths Solutions 6th Lesson Geometry 11

Answer:

AP Board 5th Class Maths Solutions 6th Lesson Geometry 61

Line segment — AB
Line segment — AC
Line segment — BC

AP Board 5th Class Maths Solutions 6th Lesson Geometry 62

Line segment — PQ
Line segment — PR
Line segment — RS
Line segment — QS

AP Board 5th Class Maths Solutions 6th Lesson Geometry 63

Line segment — EF
Line segment — EG
Line segment — FH
Line segment — GI
Line segment — HI.

AP Board 5th Class Maths Solutions 6th Lesson Geometry

Question 3.
Classify the following as ray, line and line segment. Also name them.

AP Board 5th Class Maths Solutions 6th Lesson Geometry 13

Answer:
a) Line AP Board 5th Class Maths Solutions 6th Lesson Geometry 14
b) Line segment AP Board 5th Class Maths Solutions 6th Lesson Geometry 15
c) Ray AP Board 5th Class Maths Solutions 6th Lesson Geometry 16

Question 4.
Check whether the statements are True (T) or False (F). If it is false, give the reason.

a) A ray has a definite length. ( )
Answer:
F

b) A ray has one end point. ( )
Answer:
T

c) A line segment has a fixed length. ( )
Answer:
T

d) A line segment has no end points. ( )
Answer:
F

e) A line has no end points. ( )
Answer:
T

AP Board 5th Class Maths Solutions 6th Lesson Geometry

Question 5.
Represent the rays from the figure given below.

AP Board 5th Class Maths Solutions 6th Lesson Geometry 17

Answer:
From figure, Ray – AP Board 5th Class Maths Solutions 6th Lesson Geometry 18 and Ray – AP Board 5th Class Maths Solutions 6th Lesson Geometry 19.

Question 6.
Find rays, lines and line segments from the figure given below.

AP Board 5th Class Maths Solutions 6th Lesson Geometry 20

Answer:
Rays : \(\overrightarrow{\mathrm{BA}}\), \(\overrightarrow{\mathrm{BE}}\), \(\overrightarrow{\mathrm{CD}}\), \(\overrightarrow{\mathrm{CF}}\)
Lines : \(\overleftrightarrow{\mathrm{AE}}\), \(\overleftrightarrow{\mathrm{DF}}\)
Line segment: \(\overline{\mathrm{BC}}\)

Question 7.
How many straight lines can be drawn through ?
a) One point
b) Two distinct points.
Answer:
a) From one point many straight lines can be possible to draw.
b) From two distinct points only one line can be possible to draw.

Question 8.
a) Write any three points.
b) Write any Two rays.
c) Write any five line segments.

AP Board 5th Class Maths Solutions 6th Lesson Geometry 21

Answer:
a) Point – K, Point – P, Point – A
b) Ray – \(\overleftrightarrow{\mathrm{KY}}\), Ray – \(\overleftrightarrow{\mathrm{AT}}\)
c) Line segments : \(\overline{\mathrm{KP}}\), \(\overline{\mathrm{PA}}\), \(\overline{\mathrm{AT}}\), \(\overline{\mathrm{TY}}\) and \(\overline{\mathrm{KA}}\)

AP Board 5th Class Maths Solutions 6th Lesson Geometry

Do these: (TextBook Page No. 94)

Question 1.
Observe the adjacent figure and fill in the blanks.

AP Board 5th Class Maths Solutions 6th Lesson Geometry 22

a) Vertex is …………….
Answer:
O

b) Arms are ……………
Answer:
\(\overrightarrow{\mathrm{OA}}\) and \(\overrightarrow{\mathrm{OB}}\)

c) Angle is ……………..
Answer:
∠AOB

Question 2.
Observe the various items in your classroom and write the things where angles occur.
Answer:
Corners of black board.
Corners of table.
Corners of book.
Edges of room door etc.

Do this: (TextBook Page No.94)

AP Board 5th Class Maths Solutions 6th Lesson Geometry 23

Answer:

AP Board 5th Class Maths Solutions 6th Lesson Geometry 24

AP Board 5th Class Maths Solutions 6th Lesson Geometry

Do this: (TextBook Page No.95)

Question 1.
Observe the angles given below and classify them as acute, obtuse and right angles.

AP Board 5th Class Maths Solutions 6th Lesson Geometry 25

Answer:

AP Board 5th Class Maths Solutions 6th Lesson Geometry 26

Do this: (TextBook Page No.97)

Classify the angles given below.
25°, 30°, 45°, 120°, 150°, 90°, 160°, 95°, 100°, 60°, 80°, 75°, 110°

Acute angles : _____________
Answer:
25°, 30°, 45°, 60°, 75° and 80°.

Right angle: ______________
Answer:
90°

Obtuse angles: _____________
Answer:
95°, 100°, 110°, 120°, 150°.

AP Board 5th Class Maths Solutions 6th Lesson Geometry

Exercise 2:

Question 1.
Observe the following angles and write them.

AP Board 5th Class Maths Solutions 6th Lesson Geometry 27

Answer:

AP Board 5th Class Maths Solutions 6th Lesson Geometry 28

Question 2.
Observe the following. Name the type of angle.

AP Board 5th Class Maths Solutions 6th Lesson Geometry 29

Answer:

AP Board 5th Class Maths Solutions 6th Lesson Geometry 30

Question 3.
Observe the picture given below. Count the number of acute angles, obtuse angles and right angles.

AP Board 5th Class Maths Solutions 6th Lesson Geometry 31

No. of Right angles ___________
No. ofAcute angles ___________
No. of Obtuse angles ___________
Answer:
No. of Right angles 10
No. of Acute angles 10
No. of Obtuse angles 4.

AP Board 5th Class Maths Solutions 6th Lesson Geometry

Exercise 3:

Question 1.
State what figures are open and which are closed.

AP Board 5th Class Maths Solutions 6th Lesson Geometry 32

Answer:

AP Board 5th Class Maths Solutions 6th Lesson Geometry 33

Question 2.
Draw three simple closed figures by using straight lines only.
Answer:

AP Board 5th Class Maths Solutions 6th Lesson Geometry 34

Question 3.
Draw three simple closed figures by using both straight lines and curved lines.
Answer:

AP Board 5th Class Maths Solutions 6th Lesson Geometry 35

AP Board 5th Class Maths Solutions 6th Lesson Geometry

Question 4.
What is angle in a rectangle?
Answer:
A rectangle has right angle in its corners.

Question 5.
Square is a special case of rectangle.
What is its speciality in terms of sides?
Answer:
In square all sides are equal in lengths.

Question 6.
Why there are four angles in a rectangle?
Answer:
In a rectangle four line segments are joined at corners. So, it has four angles.

Question 7.
What are the properties of a rect angle?
Answer:
In a rectangle, opposite sides are equal in Lengths. Each angle is right angle.

Question 8.
Give some examples of articles in a square shape.
Answer:
Place of chalk box, Dice, Cube etc.

AP Board 5th Class Maths Solutions 6th Lesson Geometry

Do this: (TextBook Page No.103)

Question 1.
Here are some letters. Tick the letters which look different in the mirror.

AP Board 5th Class Maths Solutions 6th Lesson Geometry 36

Answer:

AP Board 5th Class Maths Solutions 6th Lesson Geometry 37

Do this: (TextBook Page No.104)

Question 1.
Put (✓) mark to the picture which have line of symmetry.

AP Board 5th Class Maths Solutions 6th Lesson Geometry 38

Answer:

AP Board 5th Class Maths Solutions 6th Lesson Geometry 39

AP Board 5th Class Maths Solutions 6th Lesson Geometry

Question 2.
Draw possible number of symmetrical lines for the given figures.

AP Board 5th Class Maths Solutions 6th Lesson Geometry 40

Answer:

AP Board 5th Class Maths Solutions 6th Lesson Geometry 41

Complete the following table.

AP Board 5th Class Maths Solutions 6th Lesson Geometry 42

Answer:

AP Board 5th Class Maths Solutions 6th Lesson Geometry 43

AP Board 5th Class Maths Solutions 6th Lesson Geometry

Do this: (TextBook Page No.107)

Complete the following table.

AP Board 5th Class Maths Solutions 6th Lesson Geometry 44

Answer:

AP Board 5th Class Maths Solutions 6th Lesson Geometry 45

Exercise 4:

Question 1.
Match each letter with its mirror image. The dotted line with every letter shows the mirror.

AP Board 5th Class Maths Solutions 6th Lesson Geometry 46

Answer:

AP Board 5th Class Maths Solutions 6th Lesson Geometry 47

AP Board 5th Class Maths Solutions 6th Lesson Geometry

Question 2.
Check whether the dotted line represents the line of symmetry or not and put a tick mark under the figure with line of symmetry.

AP Board 5th Class Maths Solutions 6th Lesson Geometry 48

Answer:

AP Board 5th Class Maths Solutions 6th Lesson Geometry 49

Question 3.
Draw possible lines of symmetry for the figures given below, wherever possible.

AP Board 5th Class Maths Solutions 6th Lesson Geometry 50

Answer:

AP Board 5th Class Maths Solutions 6th Lesson Geometry 51

Question 4.
Complete the following table.

AP Board 5th Class Maths Solutions 6th Lesson Geometry 52

Answer:

AP Board 5th Class Maths Solutions 6th Lesson Geometry 53

AP Board 5th Class Maths Solutions 6th Lesson Geometry

Try these: (TextBook Page No.109)

Question 1.
Arrange some patterns using AP Board 5th Class Maths Solutions 6th Lesson Geometry 54.
Answer:

AP Board 5th Class Maths Solutions 6th Lesson Geometry 55

Question 2.
What should come next?

AP Board 5th Class Maths Solutions 6th Lesson Geometry 56

Answer:

AP Board 5th Class Maths Solutions 6th Lesson Geometry 57

Do this: (TextBook Page No.110)

Question 1.
Find the perimeter of the following.

AP Board 5th Class Maths Solutions 6th Lesson Geometry 58

Answer:
i) Perimeter of given figure = 10 cm + 3 cm + 10 cm + 3 cm = 26 cm
ii) Perimeter of given figure = 4 cm + 4 cm + 4 cm + 4 cm = 16 cm
iii) Perimeter of given figure = 3 cm + 5 cm + 4 cm = 12 cm
iv) Perimeter of given figure = 8 cm + 4 cm + 5 cm + 4 cm = 21 cm.

Question 2.
Find the perimeter of the following rectangles.

AP Board 5th Class Maths Solutions 6th Lesson Geometry 59

Answer:

AP Board 5th Class Maths Solutions 6th Lesson Geometry 60

AP Board 5th Class Maths Solutions 6th Lesson Geometry

Do these: (TextBook Page No.112)

Question 1.
Find the perimeter of a square with a side of 3 ems.
Answer:
Length of side of square 3 cm
Perimeter of a square = 4 × 3 cm = 12 cm.

Question 2.
Find the perimeter of a square with a side of 12 ems.
Answer:
Length of side of square = 12 cm
Perimeter of a square 4 × 12 = 48 cm.

Exercise 5:

Question 1.
Find the perimeter of a rectangular field whose length is 40 m and breadth is 25 m.
Answer:
Length of rectangular field l = 40 cm
Breadth of rectangular field b = 25 m
Perimeter of rectangular field = P
= 2l + b
= 2 × 40 + 2 × 25
= 80 + 50 = 130 m.

Question 2.
Find the perimeter of a park in square shape side with 25m.
Answer:
Side of square = 25 m
Perimeter of a square = 4 × 25 = 100 m

AP Board 5th Class Maths Solutions 6th Lesson Geometry

Question 3.
Find the area of a square whose one side is 13 cms.
Answer:
Side of square = 13 cm
Area of a square = 13 × 13 = 169 sq cm

Question 4.
Find the area of a black board with a length of 240 cms and breadth 120 cms.
Answer:
Length of black board = 240 cm
Breadth of black board = 120 cm
Area of black board = 240 × 120 = 28,800 sq cm.

Question 5.
Find the cost of fencing to a square park whose side is 200 m. Cost for lm is ^ 30.
Answer:
Side of a square park = 200 m
Area of a square = 200 × 200 = 40,000 sq m
Fencing cost per 1 m = ₹ 30
Cost of fencing 40,000 sq m = 40,000 × 30 = ₹ 12,00,000.

AP Board 5th Class Maths Solutions 6th Lesson Geometry

Question 6.
A piece of wire is 28 cm long. What will be the length of each side, if the wire is used to form a square?
Answer:
Length of a piece of wire = 28 cm
Required length of wire for making square = 4 × 28 = 112 cm

AP Board 5th Class English Solutions 8th Lesson A Birthday Letter

Andhra Pradesh AP Board 5th Class English Solutions 8th Lesson A Birthday Letter Textbook Exercise Questions and Answers.

AP State Syllabus 5th Class English Solutions Chapter 8 A Birthday Letter

Pre-Reading

Look at the picture and answer the questions that follow.

AP Board 5th Class English Solutions 8th Lesson A Birthday Letter 1

Textbook Page No. 116

Activity 1

Question 1.
Can you identify the persons in the picture ? Who are they ?
Answer:
They are Jawaharlal Nehru and Indira Gandhi. They were former Prime Ministers of India.

Question 2.
What is the relationship between these two?
Answer:
They are the father and daughter.

Question 3.
How did they serve our country?
Answer:
They served our country in the freedom struggle. Later, they served India as Prime Ministers.

AP Board 5th Class English Solutions 8th Lesson A Birthday Letter

Question 4.
When do we celebrate the birthday of the person in the picture as Children’s Day?
Answer:
We celebrate children’s day on the 14th of November as children’s day.

Question 5.
How does your father express his love for you?
Answer:
My father expresses his love for me by bringing sweets, new clothes, books etc.

Textbook Page No. 119

Activity 2 : Comprehension

I. Answer the following questions:

Question 1.
On what occasion did Nehru write this letter to his daughter Indira?
Answer:
Nehru wrote this letter to his daughter Indira on the occasion of her birthday.

Question 2.
Why can he not send her a ‘material or solid’ present?
Answer:
He can not send a ‘material or solid’ present because he was in prison.

Question 3.
What advice did Indira get from her father?
Answer:
Nehru advised Indira to talk and discuss to know the truth. He told her that no one has learned everything worth learning.

Question 4.
Who became India’s soldiers of freedom?
Answer:
Men, Women and little children became India’s soliders of freedom.

AP Board 5th Class English Solutions 8th Lesson A Birthday Letter

Question 5.
What does it mean if you desire to hide something?
Answer:
If we desire to hide something that means that we are doing a bad thing.

Question 6.
Who has inspired millions of Indians to fight for freedom?
Answer:
Bapuji’s message has inspired millions of Indians to fight for freedom.

II. Match the following

AP Board 5th Class English Solutions 8th Lesson A Birthday Letter 2
Now write the sentences.
Answer:

  1. The magic of Bapuji’s message has stolen the hearts of millions of men and women.
  2. Jawaharlal Nehru says that in our freedom movement there is no room for secrecy or hiding.
  3. When the time comes ordinary men and women become interested in a great cause.
  4. Jawaharlal Nehru dislikes sermonizing and doling out good advice.
  5. According to Nehru, if we are to be India’s soldier’s of freedom we have to respect India’s hounour.
  6. Great leaders can inspire people to do great deeds.

AP Board 5th Class English Solutions 8th Lesson A Birthday Letter

Textbook Page No. 121

Activity 3

Vocabulary

1. Let’s revisit the following words from the lesson

  • unafraid and unruffled

These are opposite words for ‘afraid’ and ‘ruffled’ respectively. Such words or phrases which give opposite meanings are called antonyms.
Here are some other antonym

  • truth × untruth, lie
  • light × dark
  • brave × timid
  • never × always

Now collect the antonyms for the following words. Your teacher will help you.
AP Board 5th Class English Solutions 8th Lesson A Birthday Letter 3
Answer:

  1. great × small
  2. wise × unwise
  3. fortunate × unfortunate
  4. right × wrong
  5. little × large, big
  6. dislike × like
  7. easy × difficult
  8. hide × reveal
  9. friends × enemies
  10. unworthy × worthy

AP Board 5th Class English Solutions 8th Lesson A Birthday Letter

Textbook Page No. 122

Activity 4

Let’s revisit the following words from the lesson.

AP Board 5th Class English Solutions 8th Lesson A Birthday Letter 4
Silent letters are the letters in words that are not pronounced but make a huge difference to the meaning and sometimes the pronunciation of the whole word.

Most of these silent letters were pronounced for centuries and then they became silent but the spelling was already fixed with them.

Some more silent letters
AP Board 5th Class English Solutions 8th Lesson A Birthday Letter 5

AP Board 5th Class English Solutions 8th Lesson A Birthday Letter

Now read the following silent letters. Your teacher will support you with the help of the dictionary.
AP Board 5th Class English Solutions 8th Lesson A Birthday Letter 6
Answer:

S.No

Word

Silent letter

1. autumn n
2. honest h
3. through gh
4. comb b
5. knife k
6. soften t
7. psychology P
8. would 1

Textbook Page No. 123

Activity 5

Grammar

I. Let’s revisit the following sentences from the lesson:

  • I have always thought….
  • Out of the discussion, sometimes a little bit of truth comes out.
  • Never do anything in secret.

AP Board 5th Class English Solutions 8th Lesson A Birthday Letter

In the above sentences, the underlined words show how often something happens. Such words are called adverbs of frequency.

Adverbs of frequency are often used to indicate routine or repeated activities, so they are often used with the simple present tense.

Read the following sentences and observe the underlined adverbs of frequency.

  1. We go on a vacation at least once annually.
  2. I usually shop for groceries on Sunday mornings.
  3. Raju is often late for work.
  4. We seldom see Sravan.
  5. My doctor advised me that I should brush my teeth twice daily.

Complete the sentences using the adverbs of frequency provided in brackets in their correct position. One has been done for you.
e.g. They go to the movies, (often)
They often go to the movies.

Question 1.
Chandra smiles, (never)
Answer:
Chandra never smiles.

Question 2.
Varun watches the local T.V. channels, (sometimes)
Answer:
Varun sometimes watchs local-T.V. Channels.

Question 3.
Ramya listens to Hindi song (rarely)
Answer:
Ramya rarely listens to Hindi songs.

AP Board 5th Class English Solutions 8th Lesson A Birthday Letter

Question 4.
Sagar complains about her children, (always)
Answer:
Sagar always complains about her children.

Question 5.
Vani feels terrible (usually)
Answer:
Vani usually feels terrible.

Conventions of Writing :

Let’s revisit the following sentences from the lesson.

  • “What present can I send you from Naini prison”?
  • “How can a letter contain it?”

A question mark (?) is a punctuation mark, or a symbol, that shows that a question has ended. Question marks can also be known as interrogation points as they end sentences where an answer or response is expected. A question often starts with one of the following words – who, what, when, where, why or how, but question marks can be used with sentences that start with other words also.

Full Stops & Question Marks

  • Question marks are used to mark the end of a question.
  • Full stops mark the end of statements.

Textbook Page No. 125

Activity 6

In the following sentences, either a full stop or a question mark is missing. Add the correct punctuation mark and rewrite the sentences.

Question 1.
Why is Charan crying
Answer:
Why is Charan crying?

Question 2.
Aunty and uncle are going out to dinner
Answer:
Aunty and uncle are going out to dinner.

AP Board 5th Class English Solutions 8th Lesson A Birthday Letter

Question 3.
The end of the story was very sad
Answer:
The end of the story was very sad.

Question 4.
Our new dog’s name is Jenny
Answer:
Our new dog’s name is Jenny.

Question 5.
Who is your favourite cricket player
Answer:
Who is your favourite cricket player?

Activity 7

Writing

Explain to the children the format and different components of an informal letter. Encourage them to write a letter in a similar format.
The format of a letter is given to you. Give them the following instructions.

Children, you have read Nehru’s letter to Indira. Write a letter to your younger sister who writes a letter to you seeking your help for the examinations. You should include these instructions and add some of your own.
AP Board 5th Class English Solutions 8th Lesson A Birthday Letter 7
Now start writing a letter by following these instructions. These instructions not only help you to write a letter but also introduce you to the different parts of a letter
AP Board 5th Class English Solutions 8th Lesson A Birthday Letter 8

AP Board 5th Class English Solutions 8th Lesson A Birthday Letter

Now use the following template to write your letter.
AP Board 5th Class English Solutions 8th Lesson A Birthday Letter 9
Answer:

Place : Guntur
Date : 14-03-2020

Hi! DearHarini,

Thank for your letter about the picnic. I felt very glad about it. After the examinations, we also want to go on a picnic. We will decide that next week. We want to go to Surya Lanka beach near Bapatla.
I hope that you are doing well in your studies.
Wishing you all the best for your exams.

Your loving sister
S. Ragini

AP Board 5th Class English Solutions 8th Lesson A Birthday Letter

S. Harini
D.No. 20-13-30,
Dargamitta
Nellore – 524 003.

Textbook Page No. 128

Activity 8

Listening and responding

I. Ask children to read the information in the tables to know the biography of Smt. Indira Gandhi. Encourage them to do the activity given.

AP Board 5th Class English Solutions 8th Lesson A Birthday Letter 10
Now complete the following table with the help of the information given.
Date of birth : ___________________
Married to : ___________________
Minister for : ___________________
Prime Minister after : ___________________
Date of death : ___________________
Answer:
Date of birth : 19-11-1917
Married to : Feroze Gandhi
Minister for : Information and Broad Casting
Prime Minister after : Jawaharlal Nehru
Date of death : 31 October, 1984.

AP Board 5th Class English Solutions 8th Lesson A Birthday Letter

II. Now respond on a brief biography of Smt. Indira Gandhi in your own words based on the above hints.
Answer:
Hi friends!
Our former Prime Minister Indira Gandhi was bom 19, November 1917 in Allahabad. She was the lone child of India’s first Prime Minister, Jawaharlal Nehru.

She was married to Feroze Gandhi in March 1942. The couple had two sons – Rajiv and Sanjay. She served the people as Minister for Infonnation and Broadcasting during 1964-66.

In 1966, she became the Prime Minister after the death of Lai Bahadur Sastri, the Prime Minister of India. From then on she served as Prime Minister of India for many years. Unfortunately, she was assassinated outside her home by two of her trusted body guards. That was the end at a great leader. But she will be remembered forever by the people of India.

Sing and Enjoy

POEM

WE SHALL OVERCOME

We shall overcome, we shall overcome,
We shall overcome some day;
Oh, deep in my heart, I do believe,
That we shall overcome some day.

We’ll walk hand in hand,
we’ll walk hand in hand,
We’ll walk hand in hand some day;
Oh, deep in my heart, I do believe,
That we shall overcome some day.

AP Board 5th Class English Solutions 8th Lesson A Birthday Letter
AP Board 5th Class English Solutions 8th Lesson A Birthday Letter 11
We are not afraid, we are not afraid,
We are not afraid today;
Oh, deep in my heart, I do believe,
That we shall overcome some day.

Summary :

WE SHALL OVERCOME

We shall overcome. We shall overcome some day. This is the belief I have in my heart.

We will walk hand in hand. We will walk hand in hand some day. That is the belief I have in my heart.

We are not afraid. We are not afraid. I believe that we will finally overcome.

సారాంశము

మనం విజయం సాధిస్తాం. ఏదో ఒక రోజు మనం విజయం సాధిస్తాం ఇదే నా హృదయంలో ఉన్న ప్రగాఢ విశ్వాసం.

మనం చేతిలో చెయ్యి వేసి నడుస్తాం. ఏదో ఒక రోజు మనం కలిసి నడుస్తాం. ఇదే నా హృదయంలో ఉన్న ప్రగాఢ విశ్వాసం.

మనకి భయం లేదు. మనం భయపడం. చివరికి విజయం మనదే.

AP Board 5th Class English Solutions 8th Lesson A Birthday Letter

ఇది ప్రముఖ హక్కుల ఉద్యమకారుడు మార్టిన్ లూధర్ కింగ్ జూనియర్ రచించినది. ఆయన 1964లో నోబెల్ శాంతి బహుమతి గెలుచుకున్నారు. 1968వ సంవత్సరంలో ఆయన మరణించారు.

This is written by the famous rights activist Martin Luther King Junior. He won the Nobel Peace prize in 1964. He died in 1968.

Glossary :

overcome = success in dealing ; విజయం సాధించడం, అధిగమించడం
deep = strong ; బలమైన
believe = to think that a fact is true ; విశ్వసించుట
hand in hand = connected, together ; కలిసి

Textbook Page No. 130

Activity – 9 : Comprehension

I. Answer the following questions:

Question 1.
What does the poet want to express through the words, ‘We shall overcome’?
Answer:
The poet wants to express that they will reach their goal.

Question 2.
What does the phrase, ‘walk hand in hand’ suggest?
Answer:
“The phrase ’Walk hand in hand” gives the meaning cooperation.

Question 3.
What is the belief of the poet?
Answer:
The poet’s belief is that they will finally win in reaching their goal.

AP Board 5th Class English Solutions 8th Lesson A Birthday Letter

Question 4.
What does ‘deep in my heart’ mean in the poem?
Answer:
‘Deep in my heart’ means a strong belief.

II. Say these set of words aloud and ask children to listen carefully and repeat them aloud.

AP Board 5th Class English Solutions 8th Lesson A Birthday Letter 12

III. Choose the best answer for each question.

Question 1.
Why does the writer repeat the words in each part of the song?
a) to rhyme the sentences
b) to make the idea important
c) to match the music
d) to help people sing
Answer:
b) to make the idea important

Question 2.
Why does the writer keep saying some day?
a) to tell when it will happen
b) to rhyme all the lines
c) to show it is about the future
d) to show it is about today
Answer:
c) to show it is about the future

AP Board 5th Class English Solutions 8th Lesson A Birthday Letter

Question 3.
What does “deep in my heart” mean in the song?
a) what I really feel
b) how I think
e) what I like
d) how people share
Answer:
a) what I really feel

Question 4.
What does “walk hand in hand” mean in the song?
a) walking down the street
b) a parade
c) people cooperating
d) making a trip
Answer:
c) people cooperating

Question 5.
The poet is …………………
a) hopeful
b) worried
c) afraid
d) confident
Answer:
d) confident

IV. Write your own answer to this question.

Question 1.
What is your favourite part of the song? What does it mean to you?
Answer:
The last two lines ‘Oh, deep in my heart’, I do believe, that we shall overcome some day are my favourite lines at the song. The two lines repeatedly say that definitely they will succeed.
The repetition gives us the confidence about success.

AP Board 5th Class English Solutions 8th Lesson A Birthday Letter

Textbook Page No. 131

Activity – 10 : Project Work

Prepare a beautiful birthday greeting card. You can use the following material.

AP Board 5th Class English Solutions 8th Lesson A Birthday Letter 13

  • chart paper
  • glue
  • straws
  • colour papers
  • scissors .
  • sketch pens
  • crayons

BIRTHDAY GREETING CARD
Answer:
Birth Day
Happy Birth Day to vou
Nikhil
on 10 May 2020.

A BIRTHDAY LETTER

Summary :

The lesson is in the form of a letter. It is a letter written by Jawaharlal Nehru to his daughter Indira Prayadarshini (Indira Gandhi). This is a letter written on the occasion of Indira Gandhi’s birthday.

In his letter, Jawaharlal Nehru tells his daughter certain important facts. He was unable to send her any presents because he was in prison.

Nehru did not believe in giving out good advice. He was in favour of talking and discussing to find the truth. He felt that no one has learnt everything.

Nehru told Indira that Gandhi’s message has stolen millions of hearts. At that time, they were making history. It was fortunate to see that history with their own eyes. They were fortunately taking some part in it.

AP Board 5th Class English Solutions 8th Lesson A Birthday Letter

It was not easy to decide what is right and what is wrong. We should not do anything secretly. We should not do anything we wish to hide. Fear is a bad thing. We should be brave and the rest follows. He hoped that Indira will grow up as a brave woman.

Nehru felt that there is a lot to tell her. A letter cannot contain the whole. He hoped that she would grow up as a brave soldier and serve India.

సారాంశము

ఈ పాఠం ఒక ఉత్తరం రూపంలో ఉంది. జవహర్‌లాల్ నెహ్రూ తన కుమార్తె ఇందిరా ప్రియదర్శినికి రాసిన ఉత్తరం. ఆమె పుట్టిన రోజు సందర్భంగా రాసిన ఉత్తరం అది.

ఈ ఉత్తరంలో జవహర్లాల్ నెహ్రూ తన కుమార్తెకు కొన్ని వాస్తవాలను చెప్పడం జరుగుతోంది. ఆయన కారాగారంలో ఉండడంవల్ల తన కుమార్తెకు బహుమతులు ఏవి పంపించలేదు.

నెహ్రూకి నీతిసూత్రాలు చెప్పడం ఇష్టం ఉండేది కాదు. ఏ విషయాన్నైనా చర్చించడం వల్లే సత్యం తెలుస్తుంది. అని ఆయన అభిప్రాయం ఏ ఒక్కరూ అన్ని విషయాలను పూర్తిగా నేర్చుకున్నారు అన్న విషయాన్ని నెహ్రూ అంగీకరించలేదు. ఎవరెంత నేర్చుకున్నా నేర్చుకోవలసింది ఇంకా మిగిలే ఉ ంటుంది అని ఆయన విశ్వాసం.

మహాత్మాగాంధీ సందేశం లక్షలాది మంది హృదయాలను దోచుకుందని నెహ్రూ చెప్పారు. ఆ సమయంలో ఒక చరిత్ర రూపుదిద్దుకొంటోందనీ, ఆ సమయంలో మనం ఉండడం అదృష్టమనీ ఆయన అభిప్రాయపడ్డారు. అంతేకాదు ఆ చరిత్రలో భాగస్వాములుగా ఉండడం మరింత అదృష్టమనీ ఆయన చెప్పారు.

తప్పు, ఒప్పులను నిర్ణయించడం సులువు కాదు. మనం ఏ పనీ రహస్యంగా చెయ్యగూడదు. దాచాల్సిన పని దేనిని మనం చెయ్యగూడదు. భయం ఒక చెడుగుణం. మనం ధైర్యంగా ఉండాలి. జరగాల్సింది జరుగుతుంది. ఇందిర ఖచ్చితంగా ధైర్యవంతురాలైన వనిత అవుతుందని ఆశించారు నెహ్రూ.

AP Board 5th Class English Solutions 8th Lesson A Birthday Letter

ఇంకా చెప్పాల్సింది చాలా ఉందని నెహ్రూ అభిప్రాయం. ఒక ఉత్తరంలో చెప్పాల్సింది మొత్తం చెప్పడం కుదరదని స్పష్టం చేశారు నెహ్రూ. ధైర్య శీలియైన సైనికురాలిగా ఆమె ఎదుగుతుందనీ, దేశానికి సేవ చేస్తుందనీ ఆయన ఆశించారు.

Glossary :

presents = gifts ; బహుమతులు
in full measure = completely ; పూర్తిస్థాయిలో
prison = jail ; కారాగారము
sermonising = talking on a moral subject ; నీతిసూత్రాలు చెప్పడం
doling out = deliver in small portions ; చిన్న చిన్న మోతాదుల్లో ఇవ్వడం
imagine = suppose or assume ; ఊహించుట
stolen = steal; past participle of ‘steal’ ; దొంగిలించి; దోచుకున్
fortunate = lucky ; అదృష్టవంతులైన
room for = place for / opportunity for ; అవకాశం
serene = calm, peaceful ; ప్రశాంతమైన
unruffled = not disordered ; చెదరని
rest = remaining ; మిగిలిన
contain = carry; కలిగియుండు

AP Board 5th Class Telugu Solutions 2nd Lesson సాయం

Andhra Pradesh AP Board 5th Class Telugu Solutions 2nd Lesson సాయం Textbook Exercise Questions and Answers.

AP State Syllabus 5th Class Telugu Solutions Chapter 2 సాయం

చిత్రం చూడండి. ఆలోచించి మాట్లాడండి.

AP Board 5th Class Telugu Solutions 2nd Lesson సాయం 1
ప్రశ్నలకు జవాబులు చెప్పండి.

ప్రశ్న 1.
చిత్రంలో ఏం జరుగుతున్నది?
జవాబు:
చిత్రంలో ఒక విద్యార్థిని తాతగారిని రోడ్డు దాటిస్తున్నది.

ప్రశ్న 2.
చిత్రంలో ఎవరెవరు ఉన్నారు? ఏమేం చేస్తున్నారు ?
జవాబు:
చిత్రంలో ఒక ఆటో డ్రైవరు ద్విచక్ర వాహనదారుడు, ఒక విద్యార్థిని ఒక పెద్దాయన ఉన్నారు. పెద్దాయన మరియు విద్యార్థిని రోడ్డు దాటుతున్నారు. వాహన దారులు అందుకు ఆగారు.

AP Board 5th Class Telugu Solutions 2nd Lesson సాయం

ప్రశ్న 3.
మీరెప్పుడైనా ఎవరికైనా సహాయం చేసారా ? అప్పుడు మీకేమనిపించింది.
జవాబు:
చేసాను. ఆ సమయంలో నాకు చాలా ఆనందం అనిపించింది. నా ఇంట్లో వాళ్ళు – స్నేహితులు నన్ను మెచ్చుకుంటారనిపించింది. అది నాకు చాలా గొప్ప విషయం అనిపించింది. తోటివారికి సహాయంచేసే అవకాశం నాకు కలిగింది కదా! అని సంతోషం కలిగింది. అందరూ నాగురించి గొప్పగా చెప్తుంటే – నా తల్లిదండ్రులు ఆనందించారు కదా! అనిపించింది.

ఇవి చేయండి

వినడం – ఆలోచించి మాట్లాడటం

ప్రశ్న 1.
రవికి పక్షులంటే ఇష్టంకదా ! మీకు ఏ ఏ పక్షులంటే ఇష్టం ?
జవాబు:
నాకు రామచిలుక, పావురం, నెమలి.

ప్రశ్న 2.
‘సాయం’ కథను సొంత మాటల్లో చెప్పండి.
జవాబు:
రవి మంచి బాలుడు. ఇతరులకు సాయంచేసే గుణం కలవాడు. రవికి పక్షులంటే చాలా ఇష్టం.
AP Board 5th Class Telugu Solutions 2nd Lesson సాయం 3
ఒకరోజు తన ఇంటిముందు ఒక చిత్రం జరిగింది. ఎక్కడినుండో ఒక పిచ్చుకల 7గుంపు ఎగురుకుంటూ వచ్చి రవి – ఇంటిముందు ఉన్న కరంటు తీగమీద వాలాయి. కొద్ది సేపటికి అన్నీ ఎగిరి పోయాయి. కాని అందులో ఒక పిచ్చుక కాలు తీగలో ఇరుక్కుపోవటంవల్ల ఎగరలేక అక్కడే ఉండిపోయింది. దాని బాధచూసి రవికి బాధ కలిగింది. అమ్మకు చెప్పాడు. మనం ఏం చేయగలం? అని వెళ్ళిపోయింది. నాన్నకు చెప్పాడు – ఎవరైనా కరంటాఫీసులో వాళ్ళకు చెప్తే వాళ్ళు కరెంటాపి, స్తంభం ఎక్కి పిచ్చుకను కాపాడతారు. అంతేకానీ మనమేంచేయగలం ? నువ్వు స్కూల్ కి వెళ్ళమని చెప్పాడు
AP Board 5th Class Telugu Solutions 2nd Lesson సాయం 4
రవి నేరుగా నాన్న చెప్పిన ప్రకారం చేసి – కరంటు వాళ్ళని పిలిచి ఆ పిచ్చుకను కాపాడాడు. ఆ పిచ్చుక ఆనందంగా గాలిలో ఎగిరిపోతుంటే ఎంతో ఆనందించాడు. (ఇతరులకు చేసిన సాయం ఎంతో ఆనందాన్నిస్తుంది.)

AP Board 5th Class Telugu Solutions 2nd Lesson సాయం

ప్రశ్న 3.
మీ స్నేహితులకు మీరు చేసిన ఏదైనా సాయం గురించి చెప్పండి.
జవాబు:
ఈ రోజు నేను పాఠశాలకొస్తూ దారి పక్కనే ఒక ముసలి అవ్వను చూసాను. కాళ్ళకు దెబ్బ తగిలిందేమో లేవలేకపోతోంది, చూడలేకపోతోంది. కళ్ళు కనపడవనుకుంటా. అవ్వ ఆకలి అరపు విని జాలి కలిగింది. అందరూ అవ్వను చూస్తూ వెళ్తున్నారే కాని సాయం చేయడం లేదు. నా జేబులో డబ్బులు ఉన్నాయి. నాన్న నన్ను కొనుక్కోమని ఇచ్చినవి.

అవి తీసి అవ్వచేతిలో పెట్టాను. తడుముకుంటూ అవి చూసుకుని అవ్వ చాలా ఆనందించింది. అవ్వ మొహంలో ఆనందంచూసి నాకు చాలా ఆనందం కలిగింది. ఇంతవరకూ ఎప్పుడూ కలగని ఆనందం కలిగింది. అప్పుడు అనుకున్నాను. ఇతరులకు చేసిన సాయం ఎంతో ఆనందాన్నిస్తుంది కదా ! అని.

పదజాలం

ఆ) ఈ కింది ఒత్తు ఉన్న పదాలను రాయండి.
క్క _____________
గ్గ _____________
చ్చ _____________
జ్జ _____________

ట్ట _____________
త్త _____________
ద్ద _____________
ప్ప _____________

మ్మ _____________
య్య _____________
ర్ర _____________
ల్ల _____________
జవాబు:
క్క అక్క
గ్గ మొగ్గ
చ్చ పచ్చిక, వెచ్చని
జ్జ ముజ్జగము

AP Board 5th Class Telugu Solutions 2nd Lesson సాయం

ట్ట బుట్ట
త్త అత్త
ద్ద గ్రద్ద
ప్ప చిప్ప

మ్మ అమ్మ
య్య అయ్య
ర్ర  కర్ర
ల్ల చిల్లర

ప్రాజెక్టు పని

మీ పాఠశాల గ్రంథాలయంలో ఇతరులకు సాయం చేసే అంశం ఉన్న కథలు సేకరించండి. మీ తరగతిగదిలో ప్రదర్శించండి.
జవాబు:
విద్యార్థి కృత్యం

సాధారణ చేద్దాం

గువ్వ కొరకు మేనుకోసి యా శిబిరాజు
వార్త విడువరాక కీర్తి కెక్కె
ఓగు నెంచబోవ రుషకారి నెంతురు.
ఈ విశ్వదాభిరామ వినుర వేమ !

AP Board 5th Class Telugu Solutions 2nd Lesson సాయం

భావం :
తన దేహమునే కోసి ఇచ్చి పావురాన్ని కాపాడి శిబి చక్రవర్తి కీర్తి పొందాడు. – చెడ్డవారిని ఎవరూ తలుచుకోరు. ఉపకారం చేసే వారిని అందరూ గుర్తుంచుకుంటారు.
– వేమన
జవాబు:
విద్యార్థులు పద్యాన్ని – భావాన్ని పద విభాగంతో చదవటం నేర్చుకుని భావయుక్తంగా ధారణ చేయాలి. అందుకు ఉపాధ్యాయులు సహకరించాలి. అందులోని నీతిని విషయాన్ని వంటపట్టించుకోవాలి.

కవి పరిచయం

కవి : జాక్ కోప్
కాలము : 1913 నుండి 1991 వరకు
విశేషాంశాలు : జాక్ కోప్ దక్షిణాఫ్రికా నవలా రచయిత. కథారచయిత. కవి సంపాదకుడు. ఈ పాఠం ఒక అనువాద కథ.
AP Board 5th Class Telugu Solutions 2nd Lesson సాయం 2

పదాలు – అర్థాలు

దృశ్యం = చూడదగినది
కష్టం = ఇబ్బంది
ఆత్రం = తొందర
అవధులు = హద్దులు
గుంపు = సమూహం
ఆసక్తి = అపేక్ష

చదువు – అర్థం చేసుకో – ఆనందించు. పరీక్షల కోసం కాదు.

అనకు కనకు వినకు

అది సబర్మతీ ఆశ్రమం. గాంధీజీ ఒక్కరే చిరుచాప మీద కూర్చొని ఉన్నారు. ఆయన అప్పుడే భగవద్గీత పారాయణం చేసి పుస్తకాన్ని ముందున్న చెక్క పెట్టెమీద పెట్టారు. నిన్న ! ఎవరో తనకు బహుమానంగా తెచ్చిన బొమ్మ వైపు దీక్షగా చూస్తున్నారు బాపూజీ. మహాదేవ దేశాయ్ లోపలికి వచ్చాడు.

AP Board 5th Class Telugu Solutions 2nd Lesson సాయం

తదేక ధ్యానంగా ప్రతిమవైపు చూస్తున్న బాపూజీని చూచాడు. ఎకాగ్రతతో ఉన్న గాంధీజీకి వెనుకనుంచి ఎవరో నవ్వుతున్నట్లు అనిపించింది. బాపూ వెనక్కు తిరిగి చూచారు. మహదేవ దేశాయ్ నిలబడి నవ్వుతూ కనిపించాడు.
AP Board 5th Class Telugu Solutions 2nd Lesson సాయం 5
“మహదేవ్ భాయీ! రా ! కూర్చో! ఎందుకు నవ్వుతున్నావు?” అన్నాడు గాంధీజీ. ! మిమ్మల్ని మీరు మరచి ఆ పెట్టెమీద బోమ్మనే చూస్తుంటే నాకునవ్వు వచ్చింది బాపూజీ!” అని ! దేశాయ్ మళ్లీ పకపకా నవ్వటం మొదలెట్టాడు. గాంధీజీ దేశాయ్ భుజం మీద చెయ్యి వేసి తట్టుతూ “అసలీ బొమ్మను చూశావా ? ఎంత గొప్పగా ఉన్నదో!” అన్నాడు.

“అవును మూడు కోతులూ చాలా అందంగా ఉన్నాయి” అన్నాడు దేశాయ్. “కోతులు కాదు, అవి నా గురువులు” అని, గాంధీజీ ఆ కోతుల బొమ్మను మహాదేవ దేశాయ్ కి చూపిస్తూ ! “ఇదుగో చూడు ఈ బొమ్మలో మూడు కోతులు కన్నిస్తున్నాయి కదా! అవి మూడు పనులు | చేస్తూ మనకు మూడు విధాలైన ఉపదేశాలు ఇస్తున్నాయి. “మొదటి బొమ్మ చూడు రెండు చేతులతో ! నోరుమూసుకొని కూర్చుంది. అంటే చెడు మాట్లాడవద్దు అని, రెండో బొమ్మ రెండు చేతులతో రెండు కళ్ళూ ! – మూసుకొని కూర్చుంది. అంటే చెడు చూడకు అని అర్థం” అన్నాడు గాంధీజీ.

గాంధీజీ మాటలు విని మహాదేవ దేశాయ్ ఆశ్చర్య చకితుడయ్యాడు.
AP Board 5th Class Telugu Solutions 2nd Lesson సాయం 6
“మూడో బొమ్మ వైపు చూచి ఏం చేస్తున్నదో చెప్పు” అన్నాడు మళ్లీ గాంధీజీ. “అది తన రెండు చేతులతో గట్టిగా రెండు చెవులు మూసుకుంది” అన్నాడు దేశాయ్.

“దానర్థం ఏమిటంటే చెడు మాటల్ని వినవద్దు అని అది మనల్ని హెచ్చరిస్తున్నది. మొత్తం మీద ఈ మూడు కోతులూ ‘చెడు అనకు, చెడు కనకు, చెడు వినకు” అని మానవులకు హితోపదేశం చేస్తున్నాయని నా ఉద్దేశం. ఏమంటావ్?” అన్నాడు.

AP Board 5th Class Telugu Solutions 2nd Lesson సాయం

“బాపూజీ! మీరు మట్టిలో నుంచి మాణిక్యాలు వెలికి తీయగలరు. అందుకనే మీరు మహాత్ములు. మీ భావాన్ని అందుకోలేక నవ్వినందుకు నన్ను మన్నించండి” అని బాపూజీ పాదాలు స్పృశించాడు మహాదేవ్జీ.

కవి పరిచయం

కవి : జంధ్యాల పాపయశాస్త్రి
కాలము : (4-08-1912 – 21-06-1992)
రచించినవి : తెలుగుబాల శతకం
ఖండకావ్యాలు: ఉదయశ్రీ, విజయశ్రీ, కరుణశ్రీ, అరుణ కిరణాలు
బిరుదు : కరుణశ్రీ
AP Board 5th Class Telugu Solutions 2nd Lesson సాయం 7

AP Board 5th Class English Solutions 2nd Lesson My Sweet Memories

Andhra Pradesh AP Board 5th Class English Solutions 2nd Lesson My Sweet Memories Textbook Exercise Questions and Answers.

AP State Syllabus 5th Class English Solutions Chapter 2 My Sweet Memories

Activity 1

Read the following text and answer the questions.

a) Visiting new places, meeting new people and knowing about different cultures is a part of holidays fine. Look at the pictures of some famous places that are popular among tourists. Match the pictures with their names. One has been done for you.
AP Board 5th Class English Solutions 2nd Lesson My Sweet Memories 1
Answer:
AP Board 5th Class English Solutions 2nd Lesson My Sweet Memories 2

b) Holidays help us to relax and refresh. They are always packed with fun, People love holidays for different reasons. Rank them according to your choice and order of importance.
I have holidays because I can

  • have lots of fun   (   )
  • spend a lot of time with my family.   (   )
  • visit new places and meet new people.   (    )
  • know more about different cultures. (    )
  • relax and forget about studies. (   )

Answer:

  • have lots of fun  ( 2 )
  • spend a lot of time with my family.   ( 4 )
  • visit new places and meet new people.  ( 1 )
  • know more about different cultures.    ( 5 )
  • relax and forget about studies.   ( 3 )

AP Board 5th Class English Solutions 2nd Lesson My Sweet Memories

Comprehension :

Activity 2

I. Answer the following questions.

Question 1.
Name some of the activities of the village children during their vacation.
Answer:
The village children go to relatives’ places. They play in the fields. They swim in the ponds and canals. They meet new friends. They watch films on TV or in cinema halls.

Question 2.
Did Santhosh enjoy his morning walk? How do you know?
Answer:
Santhosh enjoyed his morning walk. We know this from sentences like ‘The cool breeze was pleasant’. The air was filled with sweet songs of birds.

Question 3.
How did Santhosh spend his time when he went to the canal?
Answer:
Santhosh played for some time in cool water. But he could not swim. He sat on a big smooth rock and watched his friends swimming like fish.

AP Board 5th Class English Solutions 2nd Lesson My Sweet Memories

Question 4.
How did Santhosh know that the canal was so clean?
Answer:
Santhosh was able to see the pebbles and colourful fish in the canal. So, Santhosh knew that the canal was clean.

Question 5.
Why did Santhosh forget to watch television or play video / mobile games?
Answer:
The trip to the village was very enjoyable. So, Santhosh did not watch television or video / mobile games.

Question 6.
Is T.V. or video/mobile game the only way to pass time? Can we do something else?
Answer:
T.V. or Video / mobile game is not the only way to pass time. We can read books and play with friends. There are many other ways to pass the time.

II. Choose the correct answer and write the corresponding letters in the brackets:

Question 1.
Santhosh went to __________.
(a) Ramapuram
(b) Krishnapuram
(c) Rangapuram
Answer:
(a) Ramapuram

Question 2.
The paddy fields were __________ in colour.
(a) white
(b) green
(c) blue
Answer:
(b) green

AP Board 5th Class English Solutions 2nd Lesson My Sweet Memories

Question 3.
____________ helped his father in milking the cows.
(a) Peter
(b) Sruthi
(c) Aman
Answer:
(c) Aman

Question 4.
The girls were playing near a ___________ tree.
(a) banyan
(b) coconut
(c) neem
Answer:
(a) banyan

Question 5.
Santhosh returned home on _________.
(a) April 24th
(b) April 2 8th
(c) June 11th
Answer:
(b) April 2 8th

Vocabulary

Activity 3

Let’s revisit the following sentences from the reading text.

  1. I got a seat near the window.
    I have tasted the first mango of the season.

The opposite words for the underlined words are far and last respectively. Such words which give the opposite meanings are called antonyms. Here are some antonyms for you to understand.

AP Board 5th Class English Solutions 2nd Lesson My Sweet Memories

less × more
fresh × stale
beautiful × ugly
hard × soft
thick × thin
narrow × broad

Rewrite the following sentences by changing the underlined word with its opposite. One has been done for you.
Example: Our journey started today.
Our journey ended today.
AP Board 5th Class English Solutions 2nd Lesson My Sweet Memories 3

Question 1.
The weather was pleasant in the morning.
Answer:
The weather was unpleasant in the morning.

Question 2.
The river was so clean.
Answer:
The river was so unclean.

Question 3.
I sat on a smooth rock.
Answer:
I sat on a rough rock.

Question 4.
The breakfast was delicious.
Answer:
The breakfast was unpalatable.

AP Board 5th Class English Solutions 2nd Lesson My Sweet Memories

Question 5.
The mango was tasty.
Answer:
The mango was tasteless.

Activity 4

Santhosh saw many things in Ramapuram. Write the words associated with the village. One has been done for you.
AP Board 5th Class English Solutions 2nd Lesson My Sweet Memories 4
Answer:
AP Board 5th Class English Solutions 2nd Lesson My Sweet Memories 5

Grammar

Activity 5

Read the following sentences carefully.

“There is no one at home. And nothing is there to do. It is very boring.
Let’s go out and do something.” Pallavi said to Santhosh.

In the above sentences, the under lined words i.e., ‘no one’, ‘nothing’ and ‘something’ do not refer to any specific person or thing. Such words are called Indefinite Pronouns.

These pronouns are used to talk about pcople, places or things without saying exactly who, where, or what they are.

Here is a list of indefinite pronouns referring to people, places and things.
AP Board 5th Class English Solutions 2nd Lesson My Sweet Memories 6
Now complete the sentences, choosing one of the words.

Question 1.
I lost my watch. I’ve looked for it ____________ (everywhere / anywhere / nowhere)
Answer:
everywhere

AP Board 5th Class English Solutions 2nd Lesson My Sweet Memories

Question 2.
____________ broke the window, (nothing/everywhere/someone)
Answer:
Someone

Question 3.
It’s a secret. Don’t tell ______________ (anyone /something/no one)
Answer:
anyone

Question 4.
I’m looking for my glasses. I can’t find them _____________ (everything/anywhere / something)
Answer:
anywhere

Question 5.
The problem is very difficult ___________ knows the answer. (something / anywhere / Nobody)
Answer:
Nobody

Activity 6

Let’s revisit the following sentences from the lesson.

  • Our journey started today.
  • Pallavi showed me how to play with a tyre and a stick.

In the above sentences, the underlined words are the past forms of the verbs ‘start’ and ‘show’ respectively. The above actions really took place and the speaker expressed the same using the above past form of the verbs. But sometimes, we need to express certain actions that did not take place.

AP Board 5th Class English Solutions 2nd Lesson My Sweet Memories

e.g. It rained yesterday.
It did not rain yesterday.
The negative of the verb form rained is written as did not rain
i.e. did not rain = did + not + rain or didn’t + rain
(in contracted form)
Here are some more examples.
AP Board 5th Class English Solutions 2nd Lesson My Sweet Memories 7

I. Now change the following into their negatives.

AP Board 5th Class English Solutions 2nd Lesson My Sweet Memories 8
Answer:

S.no. Simple Past Simple Past Negative
1. The bird flew. The bird didnot fly.
2. He sold the car. He did not sell the car.
3. She lost her bag. She did not lose her bag.
4. The train left the station. The train did not leave the station.
5. I sang a song. I did not sing a song.

AP Board 5th Class English Solutions 2nd Lesson My Sweet Memories

II. Pallavi has a list of things to complete by last Monday. But today is Thursday. She completed some (✓) and did not complete some (✗). Read the list and write sentences in the space given below. One has been done for you.

AP Board 5th Class English Solutions 2nd Lesson My Sweet Memories 10
Answer:

S.No.

Things to do on Monday ✓/✗

Sentences

e.g. finish homework Pallavi finished her homework.
1. make notes She did not make notes.
2. draw diagrams She drew diagrams
3. polish shoes She polished her shoes.
4. buy ribbons She did not buy ribbons.
5. prepare a report She did not prepare a report.

Writing

Activity 7

Read a sample diary entry of Santhosh on his birthday.

Tuesday, 10 December, 2019.

Dear Diary,
Today is my birthday! I woke up at around six and had breakfast with my family My parents hugged and gave me the largest bar of chocolate I have ever seen! They also gave me a new dress, a football and a board game. My parents had invited my friends to my birthday party in the evening. I received a potted plant, a storybook, and a set of colour pencils as gifts. My mother had baked a strawberry cake that tasted delicious. We also had biryani and ice cream. I enjoyed every moment of the day. I think this is the best birthday I have ever had!

Santhosh

AP Board 5th Class English Solutions 2nd Lesson My Sweet Memories

Now write your diary entry describing how you celebrated Deepawali. Use the hints given below.
(Deepawali – house decoration – new clothes – Lakshmi pooja- colourful lights – rangoli patterns – burning crackers – enjoyed)
Answer:

16 June, 2020.

Dear Diary,

Today is Deepawali. We celebrated this festival very well. It is to celebrate the death of Narakasura. Deepavali follows Naraka Chaturdasi. It is believed that Sri Krishna killed Narakasura. The day on which Narakasura died is called Naraka Chaturdasi.

In our home, we performed Lakshmi Pooja. And later, we burst fire works flower pots, pencils and sparklers. The fireworks made the festival unforgettable.

Activity 8

Paragraph writing on a given topic:

Look at the following paragraph.
AP Board 5th Class English Solutions 2nd Lesson My Sweet Memories 12
In Delhi, a balloon race is held every year. On the day of the race, one can see a large number of huge and colourful balloons. They are floating in the air above the houses and the tall buildings with people standing in the baskets or gondolas, as they are called, looking down upon us. That’s really a wonderful – experience one could see.

A paragraph is a group of sentences that tells us about a single idea.

A paragraph consists of :

  • topic sentence that tells the reader the main idea of a paragraph.
    (In Delhi, ………….. every year.)
  • Supporting details that give details about the main idea.
    (On the day …………….. upon us.)
  • A concluding sentence that brings the paragraph to a clear end.
    (That’s really …………… see.)

AP Board 5th Class English Solutions 2nd Lesson My Sweet Memories

Now write a paragraph about ‘How you spent an interesting weekend’.

I spent an interesting weekend in Delhi. I visited all important places in Delhi. The places include Red Fort, Jantar Mantar, Parliament House etc. I went to Agra to see the Taj Mahal. That was an unforgettable experience. From there, we went to Fateh Pur Sikri. I enjoyed the trip very much.

Write your sentences under the correct headings.
Answer:
Topic : I spent an interesting weekend in Delhi. I visited all important places in Delhi.

Supporting details: The places include Red Fort, Jantar Mantar, Parliament House etc. I went to Agra to see the Taj Mahal. That was an unforgettable experience.

Concluding sentence: From there, we went to Fateh Pur Sikri, I enjoyed the trip very much.

Listening and Responding

Activity 9

We use ‘may‘ to say that something is possible.

  1. It may rain today. (It is possible that it will rain today.)
  2. She may come tomorrow. (There is a possibility of her coming tomorrow)
  3. The train may be late, (There is a possibility of train coming late. )
    AP Board 5th Class English Solutions 2nd Lesson My Sweet Memories 13
  4. I may go to Delhi next week. (There is a possibility of my going to Deihi next week.)
  5. He may get good marks. (There is a possibility of his getting good marks.)

AP Board 5th Class English Solutions 2nd Lesson My Sweet Memories

Now work in pairs and role play the following conversation. Give possible answer for each question. You can ask some more questions.
AP Board 5th Class English Solutions 2nd Lesson My Sweet Memories 14
Answer:
AP Board 5th Class English Solutions 2nd Lesson My Sweet Memories 15

Sing and Enjoy

Poem

Written in March

The cock is crowing.
The stream is flowing.
The small birds twitter,
The lake doth glitter
The green- field sleeps in the sun;
AP Board 5th Class English Solutions 2nd Lesson My Sweet Memories 16

AP Board 5th Class English Solutions 2nd Lesson My Sweet Memories

The oldest and youngest Are at work with the strongest;
The cattle are grazing.
There’s joy in the mountains;
There’s life in the fountains;
Small clouds are sailing,
Blue sky prevailing;
The rain is over and gone!
– William Wordsworth.

Reading & Responding

Written in March

Summary :

The cock is crowing. The stream is flowing. The small birds twitter. The lake glitters. The green field sleeps in the sun. All are working. The cattle are grazing. Mountains are joyful. Fountains arelively. Small clouds are sailing. The sky is blue. The rain is over and gone.

సారాంశం

కోడిపుంజు కూస్తోంది. సెలయేరు ప్రవహిస్తోంది. చిన్న చిన్న పక్షులు కిచ కిచ లాడుతున్నాయి. సెలయేరు తళ తళ మెరుస్తోంది. ఆకుపచ్చని పొలం సూర్యుడి కాంతిలో నిద్రిస్తోంది. చిన్నా, పెద్దా అందరూ పనిచేస్తున్నారు. పశువులు మేత మేస్తున్నాయి. పర్వతాలు ఆనందిస్తున్నాయి. ఫౌంటెన్లలో జీవం తొణికిసలాడుతోంది. చిన్న చిన్న మేఘాలు ఆకాశంలో పయనిస్తున్నాయి. ఆకాశం అంతా నీలంగా ఉంది. వర్షం (వర్షకాలం) అయిపోయింది.

Glossary

crowing = the characterestic loud cry of a cock కోడిపుంజు అరుపు
stream = a small, narrow river: సెలయేరు
twitter = a short sound made by birds repeatedly: పిట్టల కూత
cattle = A group of animals with horing and cloven hoofs: పశువులు
prevailing = existing at a particular time; ఒకానొక సమయంలో ఉండు
doth (old English) = does/do

AP Board 5th Class English Solutions 2nd Lesson My Sweet Memories

Activity 10.

I. Find the rhyming words rom the lesson and add a few more.

Question 1.
crowing, flowing, __________, __________
Answer:
sailing, prevailing,

Question 2.
twitter, ____________, ____________, ____________, ____________
Answer:
glitter, litter, batter, matter, splitter

Question 3.
youngest, ____________, ____________, ____________, ____________
Answer:
strongest, congest, largest, longest

Question 4.
mountain, ____________, ____________, ____________, ____________
fountain, maintain, certain, plantain

AP Board 5th Class English Solutions 2nd Lesson My Sweet Memories

Question 5.
sailing, ____________, ____________, ____________, ____________
Answer:
boiling, failing, mailing, scaling

II. Answer the following questions.

Question 1.
What are the cattle doing?
Answer:
The cattle are grazing.

Question 2.
What glitters in the poem?
Answer:
The lake glitters in the poem.

Question 3.
Who work along with the strongest?
Answer:
The oldest and the youngest work with the strongest.

Question 4.
How does the poet describe the nature in this poem?
Answer:
The poet describes the nature and its action through different creatures and things.

AP Board 5th Class English Solutions 2nd Lesson My Sweet Memories

Question 5.
Describe mountains and fountains in your own words.
Answer:
Mountains are very big. They are a natural land form. They rise above the surrounding land in a limited area. Mountains are steeper than hills. Most mountains occur in huge Mountain ranges. Fountains are a piece of architecture that pours water into a basin. It is mainly decorative in nature. Some times they are used to supply drinking water also. They are used to decorate city parks and squares. Now-a-days musical fountains are an attraction.

Project Work

Activity 11

Which country would you like to visit when you growup ? Collect the details and write about the country.
1. Map of that country, its national flag.
2. Stamps of the country, its currency.
3. Some famous monuments.
Answer:
I would like to visit the United States of America. When I grow up. United States of America is a federal republic. It consists of 50 states. It is the third largest nation by area. The capital of USA is Washington DC. English and Spanish are main languages spoken there. It is considered one of the richest countries in the world.
AP Board 5th Class English Solutions 2nd Lesson My Sweet Memories 17
The National Flag of the USA : The national flag of the USA consists of white stars on a blue canton with a field of 13 alternating stripes, the fifty stars stand for 50 states. The 13 stripes stand for the original 13 states. The width length ratio of the flag is 10 to 19.
AP Board 5th Class English Solutions 2nd Lesson My Sweet Memories 18
Some famous monuments : We can see many historical monuments through out the United States. Such monuments represent important events and significant people in American history.

AP Board 5th Class English Solutions 2nd Lesson My Sweet Memories

Arlington National cemetery is a military cemetary of US. It is located in Virginia. Lincoln memorial is located in Washington D.C. It commemorates the great president of the United States, Abraham Lincoln. Washington monument is an Iconic structure built to honour the first President of the United States. Mount Rush more national memorial represents four huge sculptures of the heads of four inferential US presidents. The sculptures are carved on the granite face of mount rushmore.
AP Board 5th Class English Solutions 2nd Lesson My Sweet Memories 19

Riddles

Question 1.
They come out at night without being called, and are lost in the day without being stolen, what are they ?
AP Board 5th Class English Solutions 2nd Lesson My Sweet Memories 20
Answer:
Stars.

Question 2.
When I am alive I do not speak. Anyone who wants to take me captive cuts off my head. Then bites my bare body. I do not harm anyone unless they cut me first. Then I soon, make them cry. Who am I?
AP Board 5th Class English Solutions 2nd Lesson My Sweet Memories 21
Answer:

Summary :

My Sweet Memories

Santhosh is a school going boy. His vacation started. He went to his grand parents’ village in the vacation. He wrote his experiences in his diary.

Santhosh packed his clothes and toys. He went to his grand parents’ village by bus. Santhosh sat near the window. There were different trees with flowers on bothsides of the road. There were many trees around the grand parents’ house. The mango tree was full of mangoes. He tasted the first mango.

Next day, he went out for a walk in the morning. The farmers were working in the fields. The air was filled with sweet songs of birds. Then, he played with a tyre and a stick, He met pallavi and her friends.

Santhosh went to the canal for a bath. Some children were climbing trees. Some were playing. He watched some boys swimming. He liked the” scenery.

AP Board 5th Class English Solutions 2nd Lesson My Sweet Memories

He came back to his home in city. He enjoyed the trip very much. He never watched television. He never played video/mobile games. He liked the trip and waited for the next night to the village.

సారాంశం

సంతోష్ స్కూల్లో చదువుకునే ఒక విద్యార్థి. అతని సెలవు ప్రారంభం అయ్యాయి. సెలవుల్లో వాళ్ల తాతగారి ఊరు వెళ్ళాడు. సెలవుల్లో తన అనుభవాలని డైరీలో రాశాడు.

సంతోష్ తన బట్టలు, బొమ్మలు సర్దుకున్నాడు. బస్సెక్కి తన తాతగారి ఊరికి బయలుదేరాడు. బస్సులో కిటికీకి దగ్గరగా కూర్చొన్నాడు. రోడ్డుకి ఇరువైపులా రకరకాల చెట్లు పూలతో నిండి ఉన్నాయి. తాతయ్యగారి ఇంటిచుట్టూతా బోలెడు మామిడిపళ్లు ఉన్నాయి. అతడు ఆ సంవత్సరం మొట్టమొదటి మామిడి కాయ రుచి చూశాడు. అది ఎంత రుచిగా ఉందో!

తరువాత రోజు ఉదయాన్నే లేచి కొంతదూరం నడిచాడు. రైతులు పొలాల్లో పని చేయడం చూశాడు. పక్షులు పాడే తియ్యనైన పాటలతో అక్కడ గాలి నిండి ఉంది. ఆ రోజు సైకిల్ టైరు, కర్ర ముక్కతో ఎలా ఆడుకోవచ్చో నేర్చుకున్నాడు. పల్లవి అనే ఒక బాలికని, ఆమె స్నేహితులని కలిశాడు.

సంతోష్ స్నానం చెయ్యడానికి కొలవదగ్గరకి వెళ్లాడు. అక్కడ, కొంత మంది పిల్లలు చెట్లు ఎక్కుతున్నారు. కొంతమంది ఆడుతున్నారు. అతడు కొంతమంది బాలురు ఈత కొడుతూ ఉండడం చూశాడు. అతనికి ఆ దృశ్యం ఎంతో నచ్చింది.
అతడు నగరానికి తిరిగి వచ్చాడు. ఆ పర్యటన అతడికెంతో నచ్చింది. అతడు టెలివిజన్ చూడలేదు. వీడియో, మొబైల్ గేమ్స్ ఆడలేదు. అతడు ఆ పర్యటనని ఎంతో ఇష్టపడ్డాడు. తరువాత పర్యటన ఎప్పుడెప్పుడా అని ఎదురు చూడసాగాడు.

Glossary

vacation = holidays ; సెలవలు
experiences = observation ; అనుభవం
excited = thrilled, happy ; ఆనందించు
numerous = many ; చాలా
lush = attractive : ఆకర్షణీయమైన
scarecrows = human like objects ; దిష్టిబొమ్మలు
delighted = happy ; ఆనందంతో
Fruits : jackfruit ; పనస
pomegranate = దానిమ్మ

AP Board 5th Class English Solutions 2nd Lesson My Sweet Memories

laden = weighed down with load ; బరువెక్కిన
juicy = full of juice ; రసముతో నిండిన
breeze = a gentle wind ; చిరుగాలి
swaying = move to cause to move slowly ; మెల్లగా కదులు, కదుల్చు
threshing = separating grain ; గింజలను వేరుచేయు
enchanting = attractive ; ఆకర్షణీయమైన
delicious = tasty ; రుచికరమైన
splashing = sound made by striking something into water ; నీటిలోకి ఏదైనా విసరడంద్వారా వచ్చే చప్పుడు
pebbles = small smooth round stones ; గులకరాళ్లు

AP Board 5th Class Maths Solutions 5th Lesson Multiples and Factors

Andhra Pradesh AP Board 5th Class Maths Solutions 5th Lesson Multiples and Factors World Textbook Exercise Questions and Answers.

AP State Syllabus 5th Class Maths Solutions Chapter 5 Multiples and Factors

Question 1.
Observe which numbers are not divisible?

AP Board 5th Class Maths Solutions 5th Lesson Multiples and Factors 1

Answer: Which of the above numbers are exactly divisible by 2?
Answer:
2410, 1282, 3784, 6728, 5466

b. Observe the units place of the numbers which are divisible by 2.
Answer:
0, 2, 4, 6, 8.

c. Are all these numbers even numbers ? Yes / no. (Yes)
Answer:
So a number is divisible by 2, if the digit at its one place is either 0/2/4/6/8.

AP Board 5th Class Maths Solutions 5th Lesson Multiples and Factors

Do these: (TextBook Page No.62)

Question 1.
Circle the following numbers which are divisible by 2.

AP Board 5th Class Maths Solutions 5th Lesson Multiples and Factors 2

Answer:

AP Board 5th Class Maths Solutions 5th Lesson Multiples and Factors 3

Question 2.
Write any 5, four-digit numbers which arc divisible by 2 ?
Answer:
25680, 45,622, 78,964, 87,766 and 97.678

Exercise 1:

Question 1.
Find the numbers which are divisible by 2. Write the reason for the numbers which are not divisible?
a) 3458
b)56745
c) 3850
d) 6736
e) 6733
f) 3394
Answer:
3458, 3850, 6736 and 3394 are divisible by 2. Remaining numbers are not divisible.
Reason : The digits of the numbers of ones places is 3 and 5.

AP Board 5th Class Maths Solutions 5th Lesson Multiples and Factors

Question 2.
Find the numbers which are divisible by 5 and 19. Write the reason for the numbers which are not divisible ?
a) 3568
b) 3540
c) 6585
d) 7550
e) 4235
f) 7200
g) 7865
h) 5880
i) 4440
j) 8198
k) 8645
Answer:
b, d, f, h, j are divisible by both 5 and 10. Remaining numbers are not divisible by 5 and 10.
Reason : The numbers which have n’t zero at their ones place.

Question 3.
The numbers below are divisible by 5. Fill in the blanks with suitable digit.
a) 786_
Answer:
786_ (0/5)

b)560_
Answer:
560_(0/5)

c)785_
Answer:
785_(0/5)

d) 555_
Answer:
555_ (0/5)

e) 586_
Answer:
586(0/5)

f) 786_
Answer:
786_(0/5)

g) 584_
Answer:
584_(0/5)

h) 100_
Answer:
100_(0/5)

Question 4.
Write any 5 numbers which are exactly divisible by 2 and 5.
Answer:
2540, 62570, 250, 367280 and 764520.

Question 5.
Write any 5 numbers which are exactly divisible by 2,5 and 10 ?
Answer:
86540, 79980, 89960, 45570 and 76540.

AP Board 5th Class Maths Solutions 5th Lesson Multiples and Factors

Do these: (TextBook Page No.65)

Question 1.
Circle the number which is exactly divisible by 3 and 9 and write correct reason.

AP Board 5th Class Maths Solutions 5th Lesson Multiples and Factors 4

Answer:

AP Board 5th Class Maths Solutions 5th Lesson Multiples and Factors 5

Reason : If the digital root of the given number is 9, then the number is exactly divisible by 3 and 9.

Question 2.
Write any 5 numbers which are exactly divisible by 3 and 9?
Answer:
1350, 1476, 0342, 1539 and 1629.

Do these: (TextBook Page No.66)

Question 1.
Circle the numbers which are divisible by 4. Give the reason, if is not divisible by 4.

AP Board 5th Class Maths Solutions 5th Lesson Multiples and Factors 47

Answer:

AP Board 5th Class Maths Solutions 5th Lesson Multiples and Factors 48

a, b, d, f and g are divisible by 4. Remaining numbers last two digits is not divisible by 4. So they are not divisible by 4.

Question 2.
Write the missing number in the blank to make the number exactly divisible by 4.
a) 323_
Answer:
323_ (2 / 6)

b) 304_
Answer:
304_ (0)

c) 58_6
Answer:
58_ 6 (1/3)

d) 53_ _
Answer:
53_ _ (04 / 0812 / 16 / 20 / 24 / 28 / 36/ 40)

e) 65_ _
Answer:
65_ _
(04 / 08 / 12 / 16 / 20 / 24 / 28/ 36 / 40).

AP Board 5th Class Maths Solutions 5th Lesson Multiples and Factors

Do these (Textbook Page No. 67)

Question 1.
Check whether the following numbers are divisible by 6 or not.
1) 210
2) 162
3) 625
4) 120
5) 156
Answer:
210, 162, 120 and 156 are divisible by ’6’.

Question 2.
Change the digits of the following numbers to make them divisible by 6.
1) 543
2) 231
3) 5463
4) 1002
5) 4815
Answer:

AP Board 5th Class Maths Solutions 5th Lesson Multiples and Factors 6

Do these: (TextBook Page No.68)

Question 1.
Find the following numbers which are divisible by 8.
a) 2456
b) 3971
c) 824
d) 923
e) 2780
f) 93624
g) 76104
Answer:
a) In 2456, 456 is divisible by 8. So, 2456 is divisible by 8.
b) In 3971, 971 is not divisible by 8. So, 3971 is not divisible by 8.
c) 824 is divisible by 8.
d) 923 is not divisible by 8.
e) In 2780, 780 is not divisible by 8. So, 2780 is not divisible by 8.
f) In 93624, 624 is divisible by 8. So, 93624 is divisible by 8.
g) In 76104, 104 is divisible by 8. So, 76104 is divisible by 8.

AP Board 5th Class Maths Solutions 5th Lesson Multiples and Factors

Exercise 2:

Question 1.
Circle the following numbers which are divisible by 2 (by using divisibility rule).
3624 3549 7864 8420 8500 8646 5007 7788
Answer:

AP Board 5th Class Maths Solutions 5th Lesson Multiples and Factors 49

Question 2.
Find out which of the following numbers are divisible by 6.
1276 43218 71218 71826 4734 3743
Answer:
(i) Given number = 1276
Ones place is 6 that is even.
1276 is divisible by 2.
Digital root of 1276 is 1 + 2 + 7 + 6 = 16
16 is not divisible by 3.
So, 1276 is not divisible by 6.

(ii) Given number = 43218
Ones place is 8 that is even.
43218 is divisible by 2.
Digital root of 43218 is 4 + 3 + 2 + 1 + 8 = 18
18 is divisible by 3.
So, 43218 is divisible by ‘6’.

(iii) Given number = 71218
Ones place is 8 that is even.
71218 is divisible by ‘2’
Digital root of 71218 is
7 + 1 + 2 + 1 + 8 = 19
19 is not divisible by ‘3’
So, 71218 is divisible by ‘6’.

(iv) Given number = 71826
Ones place is ‘6’ that is even.
71826 is divisible by ‘2’
Digital root of 71826 is 7 + 1 + 8 + 2 + 6 = 24
24 is divisible by ‘3’
So, 71826 is divisible by’6′.

(v) Given number = 4734
Ones place is ‘4’ that is even.
4734 is divisible by ‘2’
Digital root of 4734 is 4 + 7 + 3 + 4 = 18
18 is divisible by’3′
So, 4734 is divisible by ‘6’.

(vi) Given number = 3743
Ones place is ‘3’ that is odd.
3743 is not divisible by ‘2’
So, 3743 is not divisible by ‘6’.

AP Board 5th Class Maths Solutions 5th Lesson Multiples and Factors

Question 3.
The number 50 AP Board 5th Class Maths Solutions 5th Lesson Multiples and Factors 8 9 is exactly divisible by 9. Fill the AP Board 5th Class Maths Solutions 5th Lesson Multiples and Factors 8 with the correct number.
Answer:
Given number 50 AP Board 5th Class Maths Solutions 5th Lesson Multiples and Factors 8 19 is exactly divisible by 9.
So, digital root is 5 + 0 + ? + 1 + 9 = 15 + ?
= 15 + 3 = 18 = 1 + 8 = 9
∴ 9 is divisible by ‘9’.

Question 4.
The number 4 AP Board 5th Class Maths Solutions 5th Lesson Multiples and Factors 8 468 is exactly divisible by 6. Fill the AP Board 5th Class Maths Solutions 5th Lesson Multiples and Factors 8 with the correct number.
Answer:
Given number 4 AP Board 5th Class Maths Solutions 5th Lesson Multiples and Factors 8 468 is exactly divisible by 6. So, digital roots is 4 + AP Board 5th Class Maths Solutions 5th Lesson Multiples and Factors 8 + 4 + 6 + 8 = 22 + 2 = 24
24 is divisible by 3.
So, 4 2 468 is divisible by 6.

Question 5.
Fill the blanks with suitable digits. So that it can be divisible by 2 and 10.
678_ 588_ 388_ 222_
364_ 786_ 666_ 788_
Answer:
Given numbers are divisible by ’10’ they have ‘0’ in its units place and that number also divisible by ‘2’.
6780 5880 3880 2220
3640 7860 6660 7880

Question 6.
Find the numbers which are divisible by 4 and 8.
2104 726352 1800 32256 52248 25608
Answer:
Observe the last two digits of the given numbers 2104, 726352, 1800, 32256, 52248 and 25608.
There are 04, 52, 00, 56, 48 and 08 at the end of the numbers.
Hence all these numbers are multiples of 4.
So, 2104, 726352, 1800, 32256, 52248 and 25608 are divisible by 4.

Divisible by 8 :
i) Given number 2104
Last three digits of given 104 is divisible by 8.
So, 2104 is divisible by 8.

ii) Given number 726352
Last three digits of given 352 is di-visible by 8.
So, 726352 is divisible by 8.

iii) Given number 1800
Last three digits of given 800 is divisible by 8.
So, 1800 is divisible by 8.

iv) Given number 32256
Last three digits of given 256 is divisible by 8.
So, 32256 is divisible by 8.

v) Given number 52248
Last three digits of given 248 is divisible by 8.
So, 52248 is divisible by 8.

AP Board 5th Class Maths Solutions 5th Lesson Multiples and Factors

Question 7.
Try whether the numbers are divisible by 2, 3, 4, 5, 6, 8, 9 and 10.
a) 333
b) 128
c) 225
d) 7535
e) 8289
f) 99483
g) 67704
h) 67713
i) 9410
j) 67722
k) 20704
l) 35932
m) 85446
n) 90990
o) 18540
Answer:
a) Given number is 333
Digital root of 333 is 3 + 3 + 3 = 9
Hence it is multiple of 3 and 9.
So, 333 is divisible by 3 and 9.

b) Given number is 128.
Ones place is 8 that is even.
128 is divisible by 2.
Last two digits of the given number is 28 is multiple of 4.
So, 128 is divisible by 4.
128 ÷ 8 = 16.
So, 128 is divisible by 8
Hence 128 is divisible by 2, 4 and 8.

c) Given number is 225
Ones place is ‘5’, so it is divisible by 5.

d) Given number is 7535
Ones place is 5, so, it is divisible by 5.

AP Board 5th Class Maths Solutions 5th Lesson Multiples and Factors

e) Given number is 8289.
Digital root of 8289 is 8 + 2 + 8 + 9 = 27 = 2 + 7 = 9
9 is multiple of 3 and 9.
So, 8289 is divisible by 3 and 9.

f) Given number is 99483.
Digital root of 99483 is 9 + 9 + 4 + 8 + 3 = 33 = 3 + 3 = 6
6 is multiple of 3, so, 99483 is divisible by 3.

g) Given number is 67704
Ones place is 4 that is even.
67704 is divisible by 2.
Digital root of 67704 is 6 + 7 + 7 + 0 + 4 = 24 = 2 + 4 = 6.
6 is multiple of 3, so, 67704 is divisible by 3.
The number is divisible by 2 and 3, so, 67704 is divisible by 6.
Last two digits of the number is 04 is divisible by 4. So, 67704 is divisible by 4.
Last three digits of the number is 704 is divisible by 8.
So, 67704 is divisible by 8.
∴ 67704 is divisible 2, 3,4, 6 and 8.

h) Given number is 67713
Digital root of 67713 is 6 + 7 + 7 + 1 + 3 = 24 = 2 + 4 = 6
6 is multiple of 3.
So, 67713 is divisible of 3.

i) Given number is 9410
Last digit of given number is ‘0’ that is even.
So, 9410 is divisible by 2, 5 and 10.

j) Given number is 67722
Ones place is 2 that is even.
67722 is divisible by 2.
Digital root of 67722 is 6 + 7 + 7 + 2 + 2 = 24 = 2 + 4 = 6
‘6’ is divisible by 3.
So, 67722 is divisible by 6.

k) Given number is 20704.
Ones place is 4 that is even.
20704 is divisible by 2.
Last two digits of the number is 04 is divisible by 4.
So, 20704 is divisible by 4.
Last three digits of the number is 704 is divisible by 8. So, 20704 is divisible by 8.
∴ 20704 is divisible 2, 4 and 8

l) Given number is 35932
Ones place is 2 that is even.
35932 is divisible by 2.
Last two digits of the number is 32
32 is multiple of 4.
So, 35932 is divisible by 4.
∴ 35932 is divisible 2 and 4

m) Given number is 85446
Ones place is 6 that is even.
85446 is divisible by 2.
Digital root of 85446 is 8 + 5 + 4 + 4 + 6 = 27 = 2 + 7 = 9
∴ ‘9’ is multiple of 3 and 9.
So, 85446 is divisible by 3 and 9.
∴ 85446 is divisible by 2,3 and 9.

n) Given number is 90990
Last digit is ‘0’.
So, it is divisible by 2,5 and 10.

o) Given number is 18540 Last digit is ‘0’.
So it is divisible by 2, 5 and 10.

AP Board 5th Class Maths Solutions 5th Lesson Multiples and Factors

Question 8.
Find the missing digit that would make each number divisible by the given number.
a) 395 _ by 10
Answer:
395 0

b)24305 _ by 9
Answer:
24305 4

c) 69839 _ by 3 and 9
Answer:
698391

d) 271 _ 8 by 6
Answer:
2710 8

e) 20710 _
Answer:
20710_

f) 5027 _ 5 by 3 and 5
Answer:
50273 5

g) 145 _ 2 by 8
Answer:
14512

h) 92048 _ by 2
Answer:
92048 _ (0/2/4/6/8)

i) 23405 _ by 5
Answer:
(0/5)

Answer: For eiven ‘e’ problem divisible by is not given. So, the problem is not solved.

AP Board 5th Class Maths Solutions 5th Lesson Multiples and Factors

Question 9.
Find the smallest number that is to be added to 289279, so that it can be divisible by 8.
Answer:
Given number is 289279.
Last three digits of given number is 279.
279 is not divisible by 8, but 280 is divisible by 8.
289279 is added by 1 it is divisible by 8.

Do these: (TextBook Page No. 69 & 70)

Question 1.
Write first ten multiples of the following.
a) 3 b) 5 c) 8 d) 9 e) 10
Answer:
a) Ten multiples of 3 = 3, 6, 9, 12, 15, 18, 21, 24, 27, 30
b) Ten multiples of 5 = 5, 10, 15, 20, 25, 30, 35, 40, 45, 50
c) Ten multiples of 8 = 8, 16, 24, 32, 40, 48, 56, 64, 72, 80
d) Ten multiples of 9 = 9, 18, 27, 36, 45, 54, 63, 72, 81, 90
e) Ten multiples of 10 = 10, 20, 30, 40, 50, 60, 70, 80, 90, 100

Question 2.
Find out the multiples of 2, 3, 5 from 1 to 20. Write separately.
Answer:
First 1 to 20 multiples of 2 = 2, 4, 6, 8, 10, 12, 14, 16, 18, 20
First 1 to 20 multiples of 3 = 3, 6, 9, 12, 15, 18, 21, 24, 27, 30
First 1 to 20 multiples of 5 = 5, 10, 15,20

Question 3.
Write down the first 10 multiples of 7.
Answer:
First 10 multiples of 7 is = 7, 14, 21, 28, 35, 42, 49, 56, 63, 70.

Question 4.
Find out the multiples of 7, 8, 10 from the following numbers and write separately.
20, 14, 45, 24, 32, 35, 90, 8, 7, 10, 441, 385
Answer:
Multiples of 7 from given = 7, 14, 35, 385, 441
Multiples of 8 from given = 8, 24, 32
Multiples of 10 from given = 10, 20, 90

Question 5.
Find out the numbers which are not the multiples of 3.

AP Board 5th Class Maths Solutions 5th Lesson Multiples and Factors 9

Answer:
8 26 32 28 88 48

Question 6.
Write the odd multiples of 9 less than hundred.
Answer:
9, 27, 45, 63, 81, 99.

AP Board 5th Class Maths Solutions 5th Lesson Multiples and Factors

Do these: (TextBook Page No.71)

Question 1.
Write first 10 multiples of the following numbers and list the com-mon multiples.
a) 2 and 4
b) 4 and 12
c) 6 and 8
d) 5 and 10
Answer:
a) Multiples of 2 : 2, 4, 6, 8, 10, 12, 14, 16, 18, 20.
Multiples of 4 : 4, 8, 12, 16, 20, 24, 28, 32, 36, 40
Common multiples of 2 and 4 : 4, 8, 12, 16, 20

b) Multiples of 4 : 4, 8, 12, 16, 20, 24, 28, 32, 36, 40
Multiples of 12 : 12, 24, 36, 48, 60, 72, 84, 96, 108, 120
Common multiples of 4 and 12 : 12, 24, 36

c) Multiples of 6 : 6, 12, 18, 24, 30, 36, 42, 48, 54, 60
Multiples of 8 : 8, 16, 24, 32, 40, 48, 56, 64, 72, 80
Common multiples of 6 and 8 : 24, 48

d) Multiples of 5 : 5, 10, 15, 20, 25, 30, 35, 40, 45, 50
Multiples of 10 : 10, 20, 30, 40, 50, 60, 70, 80, 90, 100
Common multiples of 5 and 10 : 10, 20, 30, 40, 50.

AP Board 5th Class Maths Solutions 5th Lesson Multiples and Factors

Do this: (TextBook Page No. 72)

Find the LCM for the following sets of numbers.
Answer:
Multiples of 12 : 12, 24, 36, 48, 60, 72, 84, 96, 108, 120, …………..
Multiples of 15: 15, 30, 45, 60, 75, 90, 105, 120, 135, 150, …………
Common multiples of 12 and 15 = 60, 120
Least common multiple of 12 and 15 = 60.

2) Multiples of 16: 16, 32, 48, 64, 80, 96, 112, 128, 144, 160
Multiples of 20 : 20, 40, 60, 80, 100, 120, 140, 160, 180, 200, ………..
Common multiples of 16 and 20 = 80, 160.
Least common multiple of 16 and 20 = 80

3) Multiples of 8:
8, 16, 24, 32, 40, 48, 56, 64, 72, 80, ……….., 120, ………..
Multiples of 12: 12, 24, 36, 48, 60, 72, 84, 96, 108, 120, …………
Multiples of 20: 20, 40, 60, 80, 100, 120, 140, 160, 180, 200, …………
Least common multiple of 16 and 20 = 80
Common multiples of 8, 12 and 20 = 120
Least common multiple of 8, 12 and 20 = 120

4) Multiples of 15 : 15, 30, 45, 60, 75, 90, 105, 120, 135, 150 ……….
Multiples of 20 : 20, 40, 60, 80, 100, 120, 140, 160, 180, 200
Common multiples of 15 and 20 = 60, 120
Least common multiple of 15 and 20 = 60

5) Multiples of 6 : 6, 12, 18, 24, 30, 36, 42, 48, 54, 60, …………
Multiples of 9: 9, 18, 27, 36, 45, 54, 63, 72, 81, 90, ………..
Multiples of 12 : 12, 24, 36, 48, 60, 72, 84, 96, 108, 120
Common multiples of 6, 9 and 12 = 36
Least common multiple of 6, 9 and 12 = 36.

AP Board 5th Class Maths Solutions 5th Lesson Multiples and Factors

Try this: (TextBook Page No. 72)

Find the LCM for the following pairs of numbers. What do you ob-serve.
1) 15, 30
2) 4, 16
3) 5, 15
4) 6, 18
Answer:
1) Multiples of 15 : 15, 30, 45.60. 75.90, 105, 120, 135,150
Multiples of 30 : 30,60, 90. 120, 150, 180, 210, 240, 270, 300, …………
Common multiples of 15 and 30
30, 60, 90, 120, 150, ……………..
Least common multiples of 15 and 30 = 30

2) Multiples of 4 :
4, 8, 12, 16, 20, 24, 28, 32, 36, 40, …………
Multiples of 16 : 16, 32, 48, 64, 80, 96, 112, 128, 144, 160, …………..
Common multiples of 4 and 16 = 16, 32, 48 …………
LCM of 4 and 16 = 16

3) Multiples of 5 : 5, 10, 15, 20, 25, 30, 35, 40, 45, 50, 55, 60, …………..
Multiples of 15 : 15, 30, 45, 60, 75, 90, 105, 120, 135, 150, ………….
Common multiples of 5 and 15 = 15, 30, 45, 60
LCM of 5 and 15 = 15

4) Multiples of 6 :
6, 12, 18,24, 30, 36,42,48, 54, 60, ……………
Multiples of 18 :
18, 36, 54, 72,90, 108, 126, 144, 162, 180, ……….
Common multiples of 6 and 18 = 18, 36, 54
LCM of 6 and 18 = 18
Observation :
In a given pair of numbers, if one of them is multiple of other number than the biggest number is LCM of the number.

AP Board 5th Class Maths Solutions 5th Lesson Multiples and Factors

Do these: (TextBook Page No.75)

Question 1.
Find all the factors of the following numbers.
a) 21
b) 38
c) 72
d) 96
Answer:
a) 21 = 1 × 21 = 3 × 7 = 7 × 3 = 21 × 1
Thus, all the factors of 21 are : 1, 3, 7 and 21.

b) 38 = 1 × 38
= 2 × 19
Thus, all the factors of 38 are : 1, 2, 19 and 38.

c) 72 = 1 × 72
= 2 × 36
= 3 × 24
= 4 × 18
= 6 × 12
= 8 × 9
Thus, all the factors of 72 are : 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36 and 72.

d) 96 = 1 × 96
= 2 × 48
= 3 × 32
= 4 × 24
= 6 × 16
= 8 × 12
Thus, all the factors of 96 are : 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48 and 96.

AP Board 5th Class Maths Solutions 5th Lesson Multiples and Factors

Question 2.
Find out whether the first number is a factor of the second number.
a) 14; 322
b) 26; 832
c) 35; 425
d) 56; 3500
e) 8; 48
f) 14; 37
g) 15; 75
h) 12; 72
Answer:
a) Yes, 14 is a factor of 322.
b) Yes, 26 is a factor of 832.
c) No, 35 is not a factor of 425.
d) No, 56 is not a factor of 3500.
e) Yes, 8 is a factor of 48.
0 No, 14 is not a factor of 37.
g) Yes, 15 is a factor of 75.
h) Yes, 12 is a factor of 75.

Question 3.
What are the factors of 66 ?
Answer:
Factors of 66 = 1 × 66
= 2 × 33
= 3 × 22
= 6 × 11
Factors are 1, 2, 3, 6, 11, 22, 33 and 66.

AP Board 5th Class Maths Solutions 5th Lesson Multiples and Factors

Question 4.
Write all the even factors of 64.
Answer:
Factors of 64 = 1 × 64 = 2 × 32
= 4 × 16 = 8 × 8
Even Factors of 64 are : 2, 4, 8, 16, 32 and 64.

Question 5.
List out the numbers, which are prime / composite below 20.
Answer:

AP Board 5th Class Maths Solutions 5th Lesson Multiples and Factors 10

Fun activity:

AP Board 5th Class Maths Solutions 5th Lesson Multiples and Factors 11

Answer the following questions:

Question 1.
What are the prime numbers between 1 to 10 ?
Answer:
2, 3, 5, 7.

Question 2.
What are the prime numbers between 10 to 20 ?
Answer:
11, 13, 17, 19.

AP Board 5th Class Maths Solutions 5th Lesson Multiples and Factors

Question 3.
What are the prime numbers between 20 to 50 ?
Answer:
23, 29, 31, 37, 41, 43, 47.

Question 4.
How many prime numbers are there between 1 to 50 ?
Answer:
15 prime numbers are there. (2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 49).

Question 5.
What are the prime numbers between 50 to 100 ?
Answer:
53, 59, 61, 67, 71, 73, 79, 83, 87, 89, 97.

Question 6.
How many prime numbers are there between 50 to 100 ?
Answer:
10 prime numbers are there between 50 to 100.

Question 7.
Do you observe any speciality in these prime numbers ? What is it ?
Answer:
All numbers are odd, ‘2’ is only one even prime.

Question 8.
Are the all prime numbers even or odd ?
Answer:
All are odd except 2.

AP Board 5th Class Maths Solutions 5th Lesson Multiples and Factors

Do these: (TextBook Page No.78)

a) 52
b) 100
c) 88
d) 96
e) 90
Answer:
a) AP Board 5th Class Maths Solutions 5th Lesson Multiples and Factors 12

∴ Prime factorisation of 52 = 2 × 2 × 13

b) AP Board 5th Class Maths Solutions 5th Lesson Multiples and Factors 13

∴ Prime factorisation of 100 = 2 × 2 × 5 × 5

c) AP Board 5th Class Maths Solutions 5th Lesson Multiples and Factors 14

∴ Prime factorisation of 88 = 2 × 2 × 2 × 11

AP Board 5th Class Maths Solutions 5th Lesson Multiples and Factors

d) AP Board 5th Class Maths Solutions 5th Lesson Multiples and Factors 15

∴ Prime factorisation of 96 = 2 × 2 × 2 × 2 × 2 × 3

e) AP Board 5th Class Maths Solutions 5th Lesson Multiples and Factors 16

∴ Prime factorisation of 90 = 2 × 3 × 3 × 5

Question 2.
The prime factorisation of 12 × 15 is
Answer:

AP Board 5th Class Maths Solutions 5th Lesson Multiples and Factors 17

∴ 12 × 15 = 2 × 2 × 3 × 3 × 5.

AP Board 5th Class Maths Solutions 5th Lesson Multiples and Factors

Question 3.
Match the following:

AP Board 5th Class Maths Solutions 5th Lesson Multiples and Factors 18

Answer:

AP Board 5th Class Maths Solutions 5th Lesson Multiples and Factors 19

Question 4.
5 × 2 × 3 × 3 is the prime factorisation of _________
Answer:
90

Do this: (TextBook Page No.79)

Question 1.
Find the common factors of the following numbers and represent in the diagram.
a) 6 and 12
b) 12 and 20
c) 9 and 18
d) 11 and 22
Answer:
a) Factors of 6 = 1, 2, 3, 6
Factors of 12 = 1, 2, 3, 4, 6, 12

AP Board 5th Class Maths Solutions 5th Lesson Multiples and Factors 20

b) Factors of 12 = 1, 2, 3, 4, 6, 12
Factors of 20 = 1, 2, 4, 5, 10, 20

AP Board 5th Class Maths Solutions 5th Lesson Multiples and Factors 21

c) Factors of 9 = 1, 3, 9
Factors of 18 = 1, 2, 3, 6, 9, 18

AP Board 5th Class Maths Solutions 5th Lesson Multiples and Factors 22

d) Factors of 11 = 1, 11
Factors of 22 = 1,2, 11, 22

AP Board 5th Class Maths Solutions 5th Lesson Multiples and Factors 23

AP Board 5th Class Maths Solutions 5th Lesson Multiples and Factors

Do this: (TextBook Page No.80)

Find the HCF of the following pairs of numbers by writing common factors.
1) 21 and 28
2) 34 and 20
3) 33 and 39
4) 16 and 36
5) 12 and 18
6) 80 and loo
Answer:
1) Factors of 21 = 1, 3, 7, 21
Factors of 28 = 1, 2, 4, 7, 14, 28
Common factors of 21 and 28 = 1, 7
HCF of 21 and 28 = 7.

2) Factors of 34 = 1, 2, 17, 34
Factors of 20 = 1, 2, 4, 5, 10, 20
Common factors of 34 and 20 = 1, 2
HCF of 34 and 20 = 1, 2.

3) Factors of 33 = 1, 3, 11, 33
Factors of 39 = 1, 3, 13, 39
Common factors of 33 and 39 = 1, 3
HCF of 33 and 39 = 3.

4) Factors of 16 = 1, 2, 4, 8, 16
Factors of 36 = 1, 2, 3, 4, 9, 12, 18, 36
Common factors of 16 and 36 = 1, 2, 4

5) Factors of 12 = 1, 2, 3, 4, 6, 12
Factors of 18 = 1, 2, 3, 6, 9, 18
Common factors of 12 and 18 = 1,2, 3, 6
HCF of 12 and 18 = 6

6) Factors of 80 = 1, 2, 4, 5, 8, 10, 16, 20, 40, 80
Factors of 100 = 1, 2, 4, 5, 10, 20, 25, 50, 100
Common factors of 80 and 100 = 1, 2, 4, 5, 10, 20
HCF of 80 and 100 = 20.

AP Board 5th Class Maths Solutions 5th Lesson Multiples and Factors

Try this: (TextBook Page No.80)

Find the HCF for the following pair of numbers. What do you observe ?
1) 4, 16
2) 4, 12
3) 5, 15
4) 14, 42
Answer:
1) Factors of 4 = 1, 2, 4
Factors of 16 = 1,2, 4, 8, 16
Common factors of 4 and 16 = 1, 2, 4
HCF of 4 and 16 = 4.

2) Factors of 4 = 1, 2, 4
Factors of 12 = 1,2, 3, 4, 6, 12
Common factors of 4 and 12 = 1, 2, 4
HCF of 4 and 12 = 4.

3) Factors of 5 = 1, 5
Factors of 15 = 1, 3, 5, 15
Common factors of 5 and 15 = 1, 5
HCF of 5 and 15 = 5.

4) Factors of 14 = 1, 2, 7
Factors of 42 = 1, 2, 3, 6, 7, 14, 21, 22
Common factors of 14 and 42 = 1, 2, 7
HCF of 14 and 42 = 7

Observation :
In pair of numbers, if one of them is multiple of the other. The smallest number is the HCF of the pair of number.

AP Board 5th Class Maths Solutions 5th Lesson Multiples and Factors

Do these: (TextBook Page 82)

Question 1.
Find LCM and HCF by prime factorisation method for the following.
a) 15, 48
b) 18, 42, 48
c) 15, 25, 30
d) 10, 15, 25
e) 15, 18, 36, 20
Answer:
a) Given numbers 15 and 48.

AP Board 5th Class Maths Solutions 5th Lesson Multiples and Factors 24

Prime factorisation of 15 = 1 × 3 × 5
Prime factorisation of 48 = 2 × 2 × 2 × 2 × 3
Common factors = 1 × 3
Other factors = 5 × 2 × 2 × 2 × 2
LCM = 1 × 3 × 5 × 2 × 2 × 2 × 2 = 240
HCF = 1 × 3 = 3.

AP Board 5th Class Maths Solutions 5th Lesson Multiples and Factors

b) Given numbers 18, 42 and 48.

AP Board 5th Class Maths Solutions 5th Lesson Multiples and Factors 25

Prime factorisation of 18 = 1 × 2 × 3 × 3
Prime factorisation of 42 = 1 × 2 × 3 × 7
Common factors = 1 × 2 × 3
Other factors = 3 × 7 × 2 × 2 × 2
LCM = 1 × 2 × 3 × 3 × 7 × 2 × 2 × 2 = 1008
HCF = 1 × 2 × 3 = 6

c) Given numbers 15, 25 and 30

AP Board 5th Class Maths Solutions 5th Lesson Multiples and Factors 26

Prime factorisation of 15 = 1 × 3 × 5
Prime factorisation of 25 = 1 × 5 × 5
Prime factorisation of 30 = 1 × 2 × 3 × 5
Common factors = 1 × 5
Other factors = 3 × 3 × 5 × 2
LCM = 1 × 5 × 3 × 3 × 5 × 2 = 450
HCF = 1 × 5 = 5.

AP Board 5th Class Maths Solutions 5th Lesson Multiples and Factors

d) Given numbers 10, 15 and 25

AP Board 5th Class Maths Solutions 5th Lesson Multiples and Factors 27

Prime factorisation of 10 = 1 × 2 × 5
Prime factorisation of 15 = 1 × 3 × 5
Prime factorisation of 25 = 1 × 5 × 5
Common factors = 1 × 5 = 5
Other factors = 2 × 3 × 5 = 30
LCM = 5 × 30 = 150
HCF = 5

e) Given numbers 15, 18, 36 and 20

AP Board 5th Class Maths Solutions 5th Lesson Multiples and Factors 28

Prime factorisation of 15 = 1 × 3 × 5
Prime factorisation of 18 = 1 × 2 × 3 × 3
Prime factorisation of 36 = 1 × 3 × 3 × 2 × 2
Prime factorisation of 20 = 1 × 2 × 2 × 5
Common factors = 1
Other factors = 3 × 5 × 2 × 3 × 3 × 3 × 2 × 2 × 2 × 5 = 194,400
LCM = 194, 400
HCF = 1.

AP Board 5th Class Maths Solutions 5th Lesson Multiples and Factors

Question 2.
Find LCM and HCF by division method.
a) 16, 28, 36
b) 12, 18, 42
c) 30, 75, 90
d) 24, 32, 48
e) 12, 15, 18

Answer:
a) Given numbers 16, 28 and 36

AP Board 5th Class Maths Solutions 5th Lesson Multiples and Factors 29

LCM = 2 × 2 × 4 × 7 × 9 = 1008
HCF = 2 × 2 = 4

b) Given numbers 12, 18 and 42

AP Board 5th Class Maths Solutions 5th Lesson Multiples and Factors 30

LCM = 2 × 3 × 2 × 3 × 7 = 252
HCF = 2 × 3 = 6

c) Given numbers 30, 75, 90

AP Board 5th Class Maths Solutions 5th Lesson Multiples and Factors 31

LCM = 5 × 3 × 2 × 5 x 6
HCF = 5 × 3 = 15

d) Given numbers 24, 32, 48

AP Board 5th Class Maths Solutions 5th Lesson Multiples and Factors 32

LCM = 4 × 2 × 3 × 4 × 6 = 576
HCF = 4 × 2 = 8

e) Given numbers 12, 15 and 18

AP Board 5th Class Maths Solutions 5th Lesson Multiples and Factors 33

LCM = 3 × 2 × 2 × 5 × 6 = 360
HCF = 3

AP Board 5th Class Maths Solutions 5th Lesson Multiples and Factors

Exercise 3:

Solve the following word-problems:

Question 1.
There are some fruits in a basket. If we arrange 4 or 6 or 8 or 10 fruits in a pile, no fruits are left in the bas¬ket. What is the minimum number of fruits in the basket ?

AP Board 5th Class Maths Solutions 5th Lesson Multiples and Factors 34

Answer:
Arrangement of fruits in a pile are 4 or 6 or 8 or 10
We need to find the LCM of 4, 6, 8, 10

AP Board 5th Class Maths Solutions 5th Lesson Multiples and Factors 35

LCM = 2 × 2 × 1 × 3 × 2 × 5 = 120
The minimum number of fruits in the basket = 120.

Question 2.
Ramu has 16 blue marbles and 12 white ones. If he wants to arrange them in identical groups without leaving any marbles, what is the maximum number in each group Ramu can make?

AP Board 5th Class Maths Solutions 5th Lesson Multiples and Factors 36

Answer:
Number of marbles Ramu has = 16 and 12
We need to find the HCF of 12 and 16

AP Board 5th Class Maths Solutions 5th Lesson Multiples and Factors 37

HCF = 4
Maximum number of marbles Ramu can make = 4.

AP Board 5th Class Maths Solutions 5th Lesson Multiples and Factors

Question 3.
Two Neon lights are turned on at the same time. One blinks for every 4 seconds and other blinks for every 6 seconds. In 60 seconds how many times will they blink at a time ?

AP Board 5th Class Maths Solutions 5th Lesson Multiples and Factors 38

Answer:
Blink time of lights = 4 sec and 6 sec
LCM of 4 and 6 = AP Board 5th Class Maths Solutions 5th Lesson Multiples and Factors 39
LCM = 2 × 2 × 3 = 12 sec
The lights blinks at a time for every 12 sec.
Given time = 60 sec
Number of times will the lights blink = 60 ÷ 12 = 5 times.

Question 4.
There are 40 girls and 32 boys, who want to participate in state-level games competition. If each team must have the same number of girls and the same number of boys.
i) What is the maximum number in each team that can participate in state-level games ?
ii) How many boys and girls will be on each team?

AP Board 5th Class Maths Solutions 5th Lesson Multiples and Factors 40

Answer:
Number of boys 32 and girls participate in the game is 32 and 40
i) To find maximum number in each team can participate in state-level game, we need to find
HCF of 32 and 40

AP Board 5th Class Maths Solutions 5th Lesson Multiples and Factors 41

∴ HCF = 2 × 2 × 2 = 8
The maximum number in each team = 8 numbers.

ii) To find out boys and girls will be an each team, we find LCM of 32 and 40.

AP Board 5th Class Maths Solutions 5th Lesson Multiples and Factors 42

∴ LCM of 32 and 40 = 2 × 2 × 2 × 4 × 5 = 160.

Question 5.
Find the least number of sheets of paper required to make notebooks containing 32 sheets or 40 sheets or 48 sheets without a single sheet leaving behind.

AP Board 5th Class Maths Solutions 5th Lesson Multiples and Factors 43

Answer:
To find the least number of sheets of paper required to make note books, we need to find LCM of 32, 40, 48.

AP Board 5th Class Maths Solutions 5th Lesson Multiples and Factors 44

LCM = 2 × 2 × 2 × 4 × 5 × 6 = 960
∴ 960 of sheets of paper required to make notebooks containing given sheets.

AP Board 5th Class Maths Solutions 5th Lesson Multiples and Factors

Question 6.
What is the least number of chairs needed for an auditorium so that they can be arranged either 27 in a row or 33 in a row?

AP Board 5th Class Maths Solutions 5th Lesson Multiples and Factors 45

Answer:
To find least number of chairs needed for an auditorium are need to find LCM of 27 and 33.

AP Board 5th Class Maths Solutions 5th Lesson Multiples and Factors 46

LCM = 3 × 9 × 11 = 297.
∴ 297 chairs needed for an auditorium.

AP Board 5th Class EVS Solutions 3rd Lesson Clothes We Wear

Andhra Pradesh AP Board 5th Class EVS Solutions 3rd Lesson Clothes We Wear Textbook Exercise Questions and Answers.

AP State Syllabus 5th Class EVS Solutions Chapter 3 Lesson We Wear

I. Conceptual understanding:

Question 1.
Write a brief note on the uses of air?
Answer:
Uses of air :

  1. Air is the most primary need to live without air. We can’t live even for minutes of time.
  2. Electric power can be generated by air through wind mills.
  3. Through wind mills water can be lifted from wells for cultivation.
  4. Air is also used for drying clothes, smelling flowers, drink juice with a straw, to fly a kite, to ride a bicycle to play a flute etc.

Question 2.
Name the kind of clothes we wear in different seasons?
Answer:
We feel convenient with different kinds of clothes in different seasons.
Ex: During Summer we wear cotton clothes.
During winter season we wear woolen clothes.
During rainy season we wear rain coats which are made up of water proof material.

Question 3.
Write differences between natural and artificial fibres?
Answer:

Natural fibre Artificial fibre
I. It is obtained from nature. 1. It is man made.
2. The fibre structures cannot be changed. 2. Fibre structures can be changed.
3. These are comfortable 3. Not comfortable.
4. No chemicals are used 4. Chemical substances are needed for processing
5. Environmental friendly 5. Some fabrics are harmful to the environment.
6. Their life time is less 6. They last longer.

AP Board 5th Class EVS Solutions 3rd Lesson Clothes We Wear

II. Questioning and Hypothesis:

Question 4.
Name the reasons why people use woollen clothes in the winter season?
Answer:
We wear woollen clothes in winter because air is a poor conductor of heat and woollen clothes do not allow the transfer of body heat to the environment and keep us warm. The wool is structured so, there is air trapped inside.

III. Experiments and field observations:

Question 5.
Wash your dress with a detergent soap and write your experiences?
Answer:
My experiences when I wash my dress with a detergent soap:

  1. If my new dress is cotton, when I wash it with a detergent soap it looses its colour for one or two washes.
  2. If my dress is silk I will dry it in a shady place.Otherwise they loose their colour.

IV. Information Skills & Project Work:

Question 6.
Collect pieces of cloth and classify them into natural fabrics and artificial fabrics and paste them on the chart. Display the chart.
Answer:
Student activity.

AP Board 5th Class EVS Solutions 3rd Lesson Clothes We Wear

V. Drawing Pictures and Model Making:

Question 7.
Draw the picture of different types of dresses.
Answer:
Student activity.

VII. Appreciation:

Question 8.
Say what you like at tailor’s shop?
Answer:
At tailors shop I will find different types of dresses in different colours and different models which I like most.There I can also find work sarees with different colours and designs. Cotton shirts will also be colourful.

AP Board 5th Class EVS Solutions 3rd Lesson Clothes We Wear

Additional Questions:

Question 1.
What are natural fibres? Give examples?
Answer:
Fibres that are obtained from nature i.e either from plants or animlas are called ” natural fibres”.
Eg : Cotton, jute are plant fibres, silk, wool are animals fibres.

Question 2.
What are artificial fibres? Give examples?
Answer:
Man made fibres made in factories by using chemical process are called ” Synthetic fibres”.
Eg: Polyester, terylene, rayon, and nylon.

Question 3.
Why do people wear different types of clothes in different areas and ages?
Answer:
People wear different types of clothes in different areas and different ages. It depends upon the material, comfort climate etc., People in cold countries use warm clothes made of wool. In hot counties use clothes made of cotton. Small kids use soft textured clothes.

AP Board 5th Class EVS Solutions 3rd Lesson Clothes We Wear

Question 4.
How do clothes protect us?
Answer:
Clothes protect us from heat,cold,rain. They absorb sweat and keep us cool. They proctect us from germs, insect bites, dust and pollution. They help us to look smart.

Question 5.
Why should we wash our clothes?
Answer:
We should wash our clothes regularly. While playing, clothes may get dirty and wet with sweat. If we wear clothes without washing properly, we may suffer from skin diseases. Clothes should be washed with a detergent soap and dry under the sun.

Question 6.
What are the properties of air ?
Answer:

  1. Air has weight.
  2. Air occupies space.
  3. Air exerts pressure.
  4. Air produces and carries sound and smell.

AP Board 5th Class EVS Solutions 3rd Lesson Clothes We Wear

II. Questioning and Hypothesis:

Question 7.
Observe these figure and put (✓) mark where air occupies space.

AP Board 5th Class EVS Solutions 3rd Lesson Clothes We Wear 1

Answer:

AP Board 5th Class EVS Solutions 3rd Lesson Clothes We Wear 2

Question 8.
Write what you have observed from these experiments?
Answer:
(1) AP Board 5th Class EVS Solutions 3rd Lesson Clothes We Wear 3 Air has weight.

(2) AP Board 5th Class EVS Solutions 3rd Lesson Clothes We Wear 4 Air produces and carries sound.

(3) AP Board 5th Class EVS Solutions 3rd Lesson Clothes We Wear 5 Air occupies space.

(4) AP Board 5th Class EVS Solutions 3rd Lesson Clothes We Wear 6 Air exerts pressure.

AP Board 5th Class EVS Solutions 3rd Lesson Clothes We Wear

III. Information Skills & Project Work:

Question 9.
People wear uniform that suits their profession. Let us use the following pictures and identify their profession?

AP Board 5th Class EVS Solutions 3rd Lesson Clothes We Wear 7

Answer:

Student Activity.

Multiple Choice Questions:

Choose the correct answer:

Question 1.
Cotton clothes are obtained from ________ plant.
A) cotton
B) flax
C) coconut
D) jute
Answer:
A) cotton

Question 2.
Which of the following are natural fibres _______ .
A) cotton
B) wool
C) silk
D) jute
E) all the above
Answer:
E) all the above

Question 3.
Silk is obtained from _______ .
A) silk worm
B) sheep
C) cotton plant
D) none
Answer:
A) silk worm

AP Board 5th Class EVS Solutions 3rd Lesson Clothes We Wear

Question 4.
Silk worm feeds on the _______.
A) cotton leaves
B) mulberry leaves
C) both
D) none.
Answer:
B) mulberry leaves

Question 5.
Rain coats & umbrella material comes under ________ fibres.
A) natural
B) artificial
C) both
D) none
Answer:
B) artificial

Question 6.
Sweaters are made up of ________ .
A) silk
B) cotton
C) wool
D) none
Answer:
C) wool

Question 7.
We get wool from ________
A) silkworms
B) jute plant
C) sheep
D) none
Answer:
C) sheep

AP Board 5th Class EVS Solutions 3rd Lesson Clothes We Wear

Question 8.
We wear _______ clothes in winter.
A) woollen
B) cotton
C) silk
D) none
Answer:
A) woollen

Question 9.
We wear _______ clothes in summer.
A) woollen
B) cotton
C) silk
D) none
Answer:
B) cotton

Question 10.
_______ plant is used to make linen.
A) Jute
B) Cotton
C) Flax
D) None
Answer:
C) Flax

Question 11.
Gunny bags, ropes are made from _______
A) cotton
B) jute
C) wool
D)none
Answer:
B) jute

AP Board 5th Class EVS Solutions 3rd Lesson Clothes We Wear

Question 12.
We should not _______ air.
A) breath
B) use
C) pollute
D) none
Answer:
C) pollute

AP Board 5th Class EVS Textbook Solutions Study Material Guide State Syllabus

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AP Board 5th Class English Textbook Solutions Study Material Guide State Syllabus

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AP Board 5th Class Maths Textbook Solutions Study Material Guide State Syllabus

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AP Board 5th Class Maths Solutions 10th Lesson కాలం

Andhra Pradesh AP Board 5th Class Maths Solutions 10th Lesson కాలం Textbook Exercise Questions and Answers.

AP State Syllabus 5th Class Maths Solutions Chapter 10 కాలం

ఇవి చేయండి: (TextBook Page No.103)

ప్రశ్న 1.
మహిత వాళ్ళ అక్క ఉదయం 6 : 30 గం॥లకు బయలుదేరి 2 గంటలు ప్రయాణించింది. ఆమె ఏ సమయానికి రాజమండ్రి చేరింది ?
జవాబు.
మహిత వాళ్ళ అక్క బయలుదేరిన సమయం = 6:30
ఆమె ప్రయాణించిన కాలం = 2 గం||
మహిత వాళ్ళ అక్క రాజమండ్రికి చేరే సమయం = 6.30 + 2.గం|| = 8:30 గం||లు

ప్రశ్న 2.
మహిత వాళ్ళ అక్క మధ్యాహ్నం 3 : 00 గంటలకు బయలుదేరి 1 గం|| 45 ని॥లకు ప్రయాణించింది. ఆమె ఏ సమయానికి ఏలూరు చేరింది ?
జవాబు.
మహిళ వాళ్ళ అక్క ప్రారంభ సమయం = 3:00 గం||లు
ప్రయాణించిన దూరం = 1 గం|| 45 ని॥లు
మహిళ వాళ్ళ అక్క ఏలూరుకి చేరిన సమయం. = 4 : 45 ని॥లు

ప్రశ్న 3.
ఆమె మొత్తం ఎన్ని గంటలు ప్రయాణం చేసింది ?
జవాబు.
ఆమె మొత్తం ప్రయాణించిన దూరం = 2 : 00 + 1 : 45 = 3 గం|| : 45 ని||లు

AP Board 5th Class Maths Solutions 10th Lesson కాలం 1

ఇవి చేయండి: (TextBook Page No.111)

జతపరచండి.

AP Board 5th Class Maths Solutions 10th Lesson కాలం 2

జవాబు.

AP Board 5th Class Maths Solutions 10th Lesson కాలం 3

I. కింది పట్టికలో విజయవాడ స్టేషన్ కు సంబంధించిన కొన్ని రైళ్ళ రాకపోకలు ఇవ్వబడ్డాయి. ఒక్కొక్క రైలు ప్రయాణించిన సమయాన్ని నమోదు చేయండి.

AP Board 5th Class Maths Solutions 10th Lesson కాలం 4

జవాబు.

AP Board 5th Class Maths Solutions 10th Lesson కాలం 5

అభ్యాసం 1:

ప్రశ్న 1.
12 గం||ల గడియారం చూపే సమయాన్ని బట్టి 24 గంటల సమయాన్ని తెలిపేలా డిజిటల్ గడియారంలో చూపండి. (రంగు నింపండి).

AP Board 5th Class Maths Solutions 10th Lesson కాలం 6

జవాబు.

AP Board 5th Class Maths Solutions 10th Lesson కాలం 7

ప్రశ్న 2.
కొండేపాడు పాఠశాలలో 10:45 am నుండి 3:45 pm వరకు ఆటల పోటీలు జరిగాయి. ఆటల పోటీలు జరిగిన
సమయాన్ని లెక్కించండి.
జవాబు.
పాఠశాలలో ఆటల పోటీలు జరిగిన సమయం = 10:45 am నుండి 3 : 45 pm
ఆటల పోటీలు జరిగిన సమయం = 10 : 45 – 3:45 = 7 గం॥లు

ప్రశ్న 3.
రాబర్ట్ విజయవాడ నుండి సింగపూర్‌కు 22 : 00 గం॥ సమయంలో బయలుదేరాడు. సమయాన్ని 12 గం॥ల గడియారంలో చూపండి.
జవాబు.
రాబర్ట్ విజయవాడ నుండి సింగపూర్ కు బయలుదేరిన సమయం = 22 : 00 గం||లు (24 గం||ల గడియారం పద్ధతిలో)
12 గం||ల గడియార పద్దతిలో ఈ సమయం = 22 : 00 – 12 : 00 = 10:00 p.m.

ప్రశ్న 4.
అభినవ్ ఒక పాఠశాలలో రాత్రి కాపలాదారుడుగా పనిచేయుచున్నాడు. అతడు ప్రతిరోజు 5:30 pm కు పనికి బయలుదేరితే, ఆ సమయాన్ని 24 గంటల రూపంలో చూపండి.
జవాబు.
అభినవ్ ప్రతిరోజు పనికి బయలుదేరే సమయం = 5:30 pm 24 గం||ల రూపంలో
ఈ సమయం విలువ = 12 : 00 + 5:30 pm = 17:30 గం||లు

ప్రశ్న 5.
హిమదాసు ప్రతిరోజూ 4:30 am నుండి 6:15 am వరకు మరియు 4:00 pm నుండి 5:30 pm వరకు యోగా చేస్తాడు. అయితే అతను ఎన్ని గంటలు యోగా చేస్తాడు ?
జవాబు.
మొదటిసారి ప్రాక్టీసు సమయం = 4:30 am నుండి 6.15 pm = 1:45 ని॥లు
రెండవసారి ప్రాక్టీసు సమయం = 4 : 00 am నుండి 5.30 pm = 1 : 30 గం||లు
మొత్తం యోగా ప్రాక్టీసు సమయం = 1:45 + 1:30 = 3:15 గం॥లు

ప్రశ్న 6.
బాబు బృందం కబడ్డీ ఆటను సోమవారం రోజు 6:15 am నుండి 7:05 am వరకు, మంగళవారం రోజు 3:25 pm నుండి 4:15 pm వరకు సాధన చేసింది. రెండు రోజులకు గాను ఎంత సమయం పాటు ప్రాక్టీసు చేశారు?
జవాబు.
సోమవారం రోజు ప్రాక్టీసు సమయం = 6:15 am నుండి 7 : 05 am
= 7:05 – 6:15 = 50 ని॥లు
మంగళవారం రోజు ప్రాక్టీసు సమయం = 3:25 pm నుండి 4 : 15 pm
= 4:15 – 3:25 = 50 ని॥లు
మొత్తం ప్రాక్టీసు చేసిన సమయం = 50 + 50 = 100 ని॥లు (రోజుకు)

ప్రశ్న 7.
ఒక బస్సు 11:20 am కు టర్మినల్ నుండి బయలుదేరి 2:40 pm కు గమ్యస్థానానికి చేరితే ఎన్ని గంటలు’ ప్రయాణం చేసినట్లు ?
జవాబు.
బస్సు బయలుదేరిన సమయం = 11 : 20 am బస్సు
గమ్యస్థానమునకు చేరిన సమయం = 2:40 pm బస్సు
ప్రయాణం చేసిన సమయం = 14 : 40 – 11 : 20 = 3:20 గం||లు

ప్రశ్న 8.
స్నేహ 4:30 pm కు ఇంటిపని మొదలుపెట్టి 80 ని॥ల పాటు చేసింది. ఆమె ఏ సమయానికి పూర్తిచేసింది?
జవాబు.
స్నేహ ఇంటిపని మొదలు పెట్టిన సమయం = 4 : 30 pm
పనిచేసిన సమయం = 80 ని॥లు = 4:30 + 30 + 50
స్నేహ ఇంటిపని పూర్తిచేసిన సమయం = 5: 50 గం॥లు.

అభ్యాసం 2:

ప్రశ్న 1.
2020 లీపు సంవత్సరం, తర్వాత వచ్చే లీపు సంవత్సరం _________
జవాబు.
2024.

ప్రశ్న 2.
2020 సంవత్సరం ముందు వచ్చిన లీపు సంవత్సరం _________
జవాబు.
2016

ప్రశ్న 3.
2300 లీపు సంవత్సరమేనా ? కారణం తెలపండి.
బి.
2300 లీపు సంవత్సరం కాదు. ఎందుకనగా ఇది శత సంవత్సరం కనుక.

ప్రశ్న 4.
ఏదైనా ఒక సంవత్సరానికి సంబంధించిన 12 నెలలలోని రోజులను కూడండి. అది లీపు సంవత్సరం కాదో తెలపండి.
జవాబు.
నేను 2019 క్యాలెండర్ ను తీసుకున్నాను. దీనిలో
జనవరి – 31,
ఫిబ్రవరి – 28,
మార్చి – 31,
ఏప్రిల్ – 30,
మే – 31,
జూన్ – 30,
జూలై – 31,
ఆగస్టు- 31,
సెప్టెంబర్ – 30,
అక్టోబర్ – 31,
నవంబర్ – 30,
డిసెంబర్ – 31.
మొత్తం రోజులు = 31 + 28 + 31 + 30 + 31 + 30 + 31 + 31 + 30 + 31 + 30 + 31
= 7 × 31 + 4 × 30 + 28
= 217+ 120 + 28 = 365
∴ 2019 లీపు సంవత్సరం కాదు.

ప్రశ్న 5.
మొరార్జీ దేశాయ్ గారు 29.02.1896 న జన్మించారు. 10.04.1995 న చనిపోయారు. ఆయన ఎన్ని పుట్టిన రోజులు జరుపుకున్నారు ?
జవాబు.
మొరార్జీ దేశాయ్ జన్మించి తేదీ = 29-02-1896
మొరార్జీ దేశాయ్ మరణించిన తేదీ = 10-04-1995
మొరార్జీ దేశాయ్ వయస్సు 99 సం||లు దేశాయ్
అతని పుట్టిన రోజును ప్రతీ 4 సం||లకు ఒకసారి చేసుకుంటారు.
1896 నుండి 1995 వరకు మధ్యన 24 లీపు సంవత్సరాలు కలవు.
కనుక దేశాయ్ అతని జీవితకాలంలో 24 . పుట్టిన రోజులు జరుపుకొని వుంటారు.

ప్రశ్న 6.
ప్రముఖ గణిత శాస్త్రవేత్త శ్రీనివాస రామానుజన్ 22.12.1887 న జన్మించి, 26.04.1920 న మరణించారు. ఆయన జీవితకాలంలో ఎన్ని లీపు సంవత్సరాలు వచ్చి ఉంటాయి ?
జవాబు.
శ్రీనివాస రామానుజన్ పుట్టిన తేదీ = 22-12-1887
శ్రీనివాస రామానుజన్ మరణించిన తేదీ = 26-04-1920
శ్రీనివాస రామానుజన్ వయస్సు = 33 సం॥లు
33 సం॥లలో 8 లీపు సంవత్సరాలు వస్తాయి. అవి 1888, 1892, 1896, 1904, 1908, 1912, 1916, 1920.