NCERT Textbook: Parts and Wholes | Mathematics for Class 5: NCERT PDF Download

 Page 1


Draw a rectangle of length 9 cm and width 6 cm.
Divideitintothreeequalpartsandcompletetheflag.
OurFlag
You must have seen the flag of our country. Do you
knowhowtodrawtheflag?
The top one-third of our flag is saffron (or orange).
Whatisthecolourofthemiddleone-thirdoftheflag?
WherewillyoudrawtheAshokachakra?
Howmuchoftheflagwillyoucolourgreen?
Isthewhitecolournowlessthan oftheflag?Why?
ThisistheflagofMyanmar,ourneighbour.
Is blue more than one-fourth of the flag
orless?
Nowlookatthisflag.Howmuchofitis
black?_________
The green part of the flag can be
writtenas
Is red less than one-third of the flag?
Why?
_________
Because of the blue chakra in the white part of the Indian flag, the white colour is a little less
than 1/3.There can be some discussion on this point.
Guesshowmuchoftheflagisred.Isitmorethan ?Isitmore
thanthree-fourths?
a Wholes Parts nd 4
50
LUB ATH M C
Math Club can be set up in the school in which interesting activities can be taken up like making
puzzles, shapes with tangrams, maps of buildings, looking for different geometrical shapes and
anglesintheenvironment,calculatingareaandperimeterofaschoolground,etc.
51
The flag of Afghanistan
1
3
1
2
Reprint 2024-25
Page 2


Draw a rectangle of length 9 cm and width 6 cm.
Divideitintothreeequalpartsandcompletetheflag.
OurFlag
You must have seen the flag of our country. Do you
knowhowtodrawtheflag?
The top one-third of our flag is saffron (or orange).
Whatisthecolourofthemiddleone-thirdoftheflag?
WherewillyoudrawtheAshokachakra?
Howmuchoftheflagwillyoucolourgreen?
Isthewhitecolournowlessthan oftheflag?Why?
ThisistheflagofMyanmar,ourneighbour.
Is blue more than one-fourth of the flag
orless?
Nowlookatthisflag.Howmuchofitis
black?_________
The green part of the flag can be
writtenas
Is red less than one-third of the flag?
Why?
_________
Because of the blue chakra in the white part of the Indian flag, the white colour is a little less
than 1/3.There can be some discussion on this point.
Guesshowmuchoftheflagisred.Isitmorethan ?Isitmore
thanthree-fourths?
a Wholes Parts nd 4
50
LUB ATH M C
Math Club can be set up in the school in which interesting activities can be taken up like making
puzzles, shapes with tangrams, maps of buildings, looking for different geometrical shapes and
anglesintheenvironment,calculatingareaandperimeterofaschoolground,etc.
51
The flag of Afghanistan
1
3
1
2
Reprint 2024-25
Our Flag
Because of the blue chakra in the white part of the Indian flag, the white colour is a little less
than 1/3.There can be some discussion on this point.
a Wholes Parts nd 4
50
LUB ATH M C
Math Club can be set up in the school in which interesting activities can be taken up like making
puzzles, shapes with tangrams, maps of buildings, looking for different geometrical shapes and
anglesintheenvironment,calculating area and perimeter of a school ground, etc.
51
The flag of Afghanistan
Find out
Collect as many flags as you can.
How many flags have three colours? Are all the coloured parts
equal in these flags?
This is the flag of the Math Club in a school in Kerala. What part
of the flag is coloured red? What part is green?
See this black logo. Draw it.
Is there a Math Club in your
school? If not, ask your teacher
how to set it up. Design a flag for
your Math Club. Draw it here.
Have you used the red colour? What part of
the flag did you colour red?
What were the other colours you chose?
Reprint 2024-25
Page 3


Draw a rectangle of length 9 cm and width 6 cm.
Divideitintothreeequalpartsandcompletetheflag.
OurFlag
You must have seen the flag of our country. Do you
knowhowtodrawtheflag?
The top one-third of our flag is saffron (or orange).
Whatisthecolourofthemiddleone-thirdoftheflag?
WherewillyoudrawtheAshokachakra?
Howmuchoftheflagwillyoucolourgreen?
Isthewhitecolournowlessthan oftheflag?Why?
ThisistheflagofMyanmar,ourneighbour.
Is blue more than one-fourth of the flag
orless?
Nowlookatthisflag.Howmuchofitis
black?_________
The green part of the flag can be
writtenas
Is red less than one-third of the flag?
Why?
_________
Because of the blue chakra in the white part of the Indian flag, the white colour is a little less
than 1/3.There can be some discussion on this point.
Guesshowmuchoftheflagisred.Isitmorethan ?Isitmore
thanthree-fourths?
a Wholes Parts nd 4
50
LUB ATH M C
Math Club can be set up in the school in which interesting activities can be taken up like making
puzzles, shapes with tangrams, maps of buildings, looking for different geometrical shapes and
anglesintheenvironment,calculatingareaandperimeterofaschoolground,etc.
51
The flag of Afghanistan
1
3
1
2
Reprint 2024-25
Our Flag
Because of the blue chakra in the white part of the Indian flag, the white colour is a little less
than 1/3.There can be some discussion on this point.
a Wholes Parts nd 4
50
LUB ATH M C
Math Club can be set up in the school in which interesting activities can be taken up like making
puzzles, shapes with tangrams, maps of buildings, looking for different geometrical shapes and
anglesintheenvironment,calculating area and perimeter of a school ground, etc.
51
The flag of Afghanistan
Find out
Collect as many flags as you can.
How many flags have three colours? Are all the coloured parts
equal in these flags?
This is the flag of the Math Club in a school in Kerala. What part
of the flag is coloured red? What part is green?
See this black logo. Draw it.
Is there a Math Club in your
school? If not, ask your teacher
how to set it up. Design a flag for
your Math Club. Draw it here.
Have you used the red colour? What part of
the flag did you colour red?
What were the other colours you chose?
Reprint 2024-25
53
Magic Top
What part of the chocolate did Manju eat?
52
Let us make a magic top.
Take a cardboard piece.
Draw a circle of radius 3 cm
and cut it out.
Divide the circle into 8 equal
parts.Noweachpartis ofthe
circle.
Colour red, orange yellow etc. as shown here. Push a
matchstick through the centre of the circle .
Your magic top is ready. Spin it fast!
What do you see? Can you see all the
colours? Write what you see in your
notebook.
,
Practice time
A) Chocolate bar
Manju had a chocolate. She gave one-
fourth of it to Raji, one-third to Sugatha
and one-sixth to Sheela. She ate the
remaining part. How many pieces of
chocolate did each get? Write here.
Manju
Sugatha
Sheela
Raji
1
8
1
8
1
8
2
8
Reprint 2024-25
Page 4


Draw a rectangle of length 9 cm and width 6 cm.
Divideitintothreeequalpartsandcompletetheflag.
OurFlag
You must have seen the flag of our country. Do you
knowhowtodrawtheflag?
The top one-third of our flag is saffron (or orange).
Whatisthecolourofthemiddleone-thirdoftheflag?
WherewillyoudrawtheAshokachakra?
Howmuchoftheflagwillyoucolourgreen?
Isthewhitecolournowlessthan oftheflag?Why?
ThisistheflagofMyanmar,ourneighbour.
Is blue more than one-fourth of the flag
orless?
Nowlookatthisflag.Howmuchofitis
black?_________
The green part of the flag can be
writtenas
Is red less than one-third of the flag?
Why?
_________
Because of the blue chakra in the white part of the Indian flag, the white colour is a little less
than 1/3.There can be some discussion on this point.
Guesshowmuchoftheflagisred.Isitmorethan ?Isitmore
thanthree-fourths?
a Wholes Parts nd 4
50
LUB ATH M C
Math Club can be set up in the school in which interesting activities can be taken up like making
puzzles, shapes with tangrams, maps of buildings, looking for different geometrical shapes and
anglesintheenvironment,calculatingareaandperimeterofaschoolground,etc.
51
The flag of Afghanistan
1
3
1
2
Reprint 2024-25
Our Flag
Because of the blue chakra in the white part of the Indian flag, the white colour is a little less
than 1/3.There can be some discussion on this point.
a Wholes Parts nd 4
50
LUB ATH M C
Math Club can be set up in the school in which interesting activities can be taken up like making
puzzles, shapes with tangrams, maps of buildings, looking for different geometrical shapes and
anglesintheenvironment,calculating area and perimeter of a school ground, etc.
51
The flag of Afghanistan
Find out
Collect as many flags as you can.
How many flags have three colours? Are all the coloured parts
equal in these flags?
This is the flag of the Math Club in a school in Kerala. What part
of the flag is coloured red? What part is green?
See this black logo. Draw it.
Is there a Math Club in your
school? If not, ask your teacher
how to set it up. Design a flag for
your Math Club. Draw it here.
Have you used the red colour? What part of
the flag did you colour red?
What were the other colours you chose?
Reprint 2024-25
53
Magic Top
What part of the chocolate did Manju eat?
52
Let us make a magic top.
Take a cardboard piece.
Draw a circle of radius 3 cm
and cut it out.
Divide the circle into 8 equal
parts.Noweachpartis ofthe
circle.
Colour red, orange yellow etc. as shown here. Push a
matchstick through the centre of the circle .
Your magic top is ready. Spin it fast!
What do you see? Can you see all the
colours? Write what you see in your
notebook.
,
Practice time
A) Chocolate bar
Manju had a chocolate. She gave one-
fourth of it to Raji, one-third to Sugatha
and one-sixth to Sheela. She ate the
remaining part. How many pieces of
chocolate did each get? Write here.
Manju
Sugatha
Sheela
Raji
1
8
1
8
1
8
2
8
Reprint 2024-25
B)  Colour the hats
Colour of the hats red.
Colour three-fifth hats
blue.
How many hats did you
colour red?
How many hats did you
colour blue?
What part of the hats
are not coloured?
The white triangle is divided
into three equal parts. Fill each
one-third part with a different
colour. Can you show that these
parts are equal? Think how.
Now try to make three equal
parts of this triangle in a
different way. Colour each one-
thirdwithadifferentcolour.
C) Equal parts of a triangle
53
Magic Top
52
1
3
Reprint 2024-25
Page 5


Draw a rectangle of length 9 cm and width 6 cm.
Divideitintothreeequalpartsandcompletetheflag.
OurFlag
You must have seen the flag of our country. Do you
knowhowtodrawtheflag?
The top one-third of our flag is saffron (or orange).
Whatisthecolourofthemiddleone-thirdoftheflag?
WherewillyoudrawtheAshokachakra?
Howmuchoftheflagwillyoucolourgreen?
Isthewhitecolournowlessthan oftheflag?Why?
ThisistheflagofMyanmar,ourneighbour.
Is blue more than one-fourth of the flag
orless?
Nowlookatthisflag.Howmuchofitis
black?_________
The green part of the flag can be
writtenas
Is red less than one-third of the flag?
Why?
_________
Because of the blue chakra in the white part of the Indian flag, the white colour is a little less
than 1/3.There can be some discussion on this point.
Guesshowmuchoftheflagisred.Isitmorethan ?Isitmore
thanthree-fourths?
a Wholes Parts nd 4
50
LUB ATH M C
Math Club can be set up in the school in which interesting activities can be taken up like making
puzzles, shapes with tangrams, maps of buildings, looking for different geometrical shapes and
anglesintheenvironment,calculatingareaandperimeterofaschoolground,etc.
51
The flag of Afghanistan
1
3
1
2
Reprint 2024-25
Our Flag
Because of the blue chakra in the white part of the Indian flag, the white colour is a little less
than 1/3.There can be some discussion on this point.
a Wholes Parts nd 4
50
LUB ATH M C
Math Club can be set up in the school in which interesting activities can be taken up like making
puzzles, shapes with tangrams, maps of buildings, looking for different geometrical shapes and
anglesintheenvironment,calculating area and perimeter of a school ground, etc.
51
The flag of Afghanistan
Find out
Collect as many flags as you can.
How many flags have three colours? Are all the coloured parts
equal in these flags?
This is the flag of the Math Club in a school in Kerala. What part
of the flag is coloured red? What part is green?
See this black logo. Draw it.
Is there a Math Club in your
school? If not, ask your teacher
how to set it up. Design a flag for
your Math Club. Draw it here.
Have you used the red colour? What part of
the flag did you colour red?
What were the other colours you chose?
Reprint 2024-25
53
Magic Top
What part of the chocolate did Manju eat?
52
Let us make a magic top.
Take a cardboard piece.
Draw a circle of radius 3 cm
and cut it out.
Divide the circle into 8 equal
parts.Noweachpartis ofthe
circle.
Colour red, orange yellow etc. as shown here. Push a
matchstick through the centre of the circle .
Your magic top is ready. Spin it fast!
What do you see? Can you see all the
colours? Write what you see in your
notebook.
,
Practice time
A) Chocolate bar
Manju had a chocolate. She gave one-
fourth of it to Raji, one-third to Sugatha
and one-sixth to Sheela. She ate the
remaining part. How many pieces of
chocolate did each get? Write here.
Manju
Sugatha
Sheela
Raji
1
8
1
8
1
8
2
8
Reprint 2024-25
B)  Colour the hats
Colour of the hats red.
Colour three-fifth hats
blue.
How many hats did you
colour red?
How many hats did you
colour blue?
What part of the hats
are not coloured?
The white triangle is divided
into three equal parts. Fill each
one-third part with a different
colour. Can you show that these
parts are equal? Think how.
Now try to make three equal
parts of this triangle in a
different way. Colour each one-
thirdwithadifferentcolour.
C) Equal parts of a triangle
53
Magic Top
52
1
3
Reprint 2024-25
D) Sixpartsof a rectangle
Rani has divided a greenrectangleintosixequalpartslikethis.
h Now you divide each of these rectangles
into six equal parts. Use a different way
foreachofthethreerectangles.
Discuss
h
h
How will you check that each part is really one-sixth of
that rectangle?
The green rectangle is bigger than the blue one. Can we
say that of the green rectangle is bigger than of the
blue rectangle?
54
I am
a poet
Greedy Gatekeepers
55
1
6
1
6
Reprint 2024-25