NCERT Solutions Class 3 Maths Chapter 11 Filling and Lifting
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Page 1
F R E E S T U D Y M AT E R I A L F O R E V E R Y S T U D E N T
C L A S S 3 · M AT H S
NCERT Solutions + ×
Chapter 11: Filling
and Lifting
NCERT Textbook — Maths Mela
BOOK PAGES SECTIONS QUESTIONS MEDIUM
139 – 149 15 50 English
Every question Step by step Exam ready
Activities, in-text questions The working shown, not Written to match how
and all exercises. just the final answer. marks are awarded.
Solutions, notes, sample papers & more at 43 pages
C L A S S 3 · M AT H S
NCERT Solutions + ×
Chapter 11: Filling
and Lifting
NCERT Textbook — Maths Mela
BOOK PAGES SECTIONS QUESTIONS MEDIUM
139 – 149 15 50 English
Every question Step by step Exam ready
Activities, in-text questions The working shown, not Written to match how
and all exercises. just the final answer. marks are awarded.
Solutions, notes, sample papers & more at 43 pages
Page 2
l h h e illi g d if i g A aS m · NCERT So ut ons
gl e l i
C L A SS 3 · M AT H S · M AT H S M E L A
NCERT So ut ons — C apt r 11: F n an L t n
l i h e illi g d if i g
This chapter is about filling and lifting. We pour water from one vessel into another to see which holds more.
We lift things and use a pan-balance to see which is heavier.
T E XT B OOK B OOK PAGE S
Ma h Mela Cla
t s ss 3 139 149
S EC T I ONS QU E ST I ONS
15 50
M EDI UM
English
How much can you drink? — Page 139
Chapter opener Chintu at the sugarcane juice stall
Q1 Why do you think Chintu does not take the challenge?
Chintu s smaller glasses
ʼ 6 The stallʼs bigger glass
The small glass Chintu means and the bigger glass the stall uses.
Because the stall s glasses are much bigger
ʼ .
Chintu can drink of his own small glasses
6 .
One big glass holds far more juice than one small glass.
So 6 big glasses are too much for him.
Page 1 of 43
gl e l i
C L A SS 3 · M AT H S · M AT H S M E L A
NCERT So ut ons — C apt r 11: F n an L t n
l i h e illi g d if i g
This chapter is about filling and lifting. We pour water from one vessel into another to see which holds more.
We lift things and use a pan-balance to see which is heavier.
T E XT B OOK B OOK PAGE S
Ma h Mela Cla
t s ss 3 139 149
S EC T I ONS QU E ST I ONS
15 50
M EDI UM
English
How much can you drink? — Page 139
Chapter opener Chintu at the sugarcane juice stall
Q1 Why do you think Chintu does not take the challenge?
Chintu s smaller glasses
ʼ 6 The stallʼs bigger glass
The small glass Chintu means and the bigger glass the stall uses.
Because the stall s glasses are much bigger
ʼ .
Chintu can drink of his own small glasses
6 .
One big glass holds far more juice than one small glass.
So 6 big glasses are too much for him.
Page 1 of 43
Page 3
l h h e illi g d if i g A aS m · NCERT So ut ons
gl e l i
Why A bigge gla h ld
: r ss o e. So we can drink fewer of them.
s mor
Q2 Do you think you can take the challenge?
Chintu s smaller glasses
ʼ 6 The stallʼs bigger glass
The small glass Chintu means and the bigger glass the stall uses.
Sample answer: No I cannot drink big glasses of juice
, 6 .
One big glass already fills my stomach.
Six of them are a very large amount of juice.
Try this: Pour one big glass into small glasses. Count how many small glasses it
fills.
Whose glass holds more? — Page 140
Page 2 of 43
gl e l i
Why A bigge gla h ld
: r ss o e. So we can drink fewer of them.
s mor
Q2 Do you think you can take the challenge?
Chintu s smaller glasses
ʼ 6 The stallʼs bigger glass
The small glass Chintu means and the bigger glass the stall uses.
Sample answer: No I cannot drink big glasses of juice
, 6 .
One big glass already fills my stomach.
Six of them are a very large amount of juice.
Try this: Pour one big glass into small glasses. Count how many small glasses it
fills.
Whose glass holds more? — Page 140
Page 2 of 43
Page 4
l h h e illi g d if i g A aS m · NCERT So ut ons
gl e l i
,
Ritu Monu and Nita are given milk in different glasses
Q1 Nita and Monu visit Rituʼs house. Rituʼs mother gives them milk in different glasses.
Who do you think gets the most milk?
R tuʼs ass
i gl Monuʼs ass gl N taʼs ass
i gl
The three glasses of milk, drawn as the book draws them.
We cannot tell just by looking. The three glasses are of different shapes and sizes.
Rituʼs elder sister pours the milk into three same-sized glasses. Then we see that Ritu gets the
most milk.
Why I a e ized gla e he highe he ilk he
: n s m -s ss s, t rt m , t mor e it is.
Let us Discuss — Pages 140–141
Page 3 of 43
gl e l i
,
Ritu Monu and Nita are given milk in different glasses
Q1 Nita and Monu visit Rituʼs house. Rituʼs mother gives them milk in different glasses.
Who do you think gets the most milk?
R tuʼs ass
i gl Monuʼs ass gl N taʼs ass
i gl
The three glasses of milk, drawn as the book draws them.
We cannot tell just by looking. The three glasses are of different shapes and sizes.
Rituʼs elder sister pours the milk into three same-sized glasses. Then we see that Ritu gets the
most milk.
Why I a e ized gla e he highe he ilk he
: n s m -s ss s, t rt m , t mor e it is.
Let us Discuss — Pages 140–141
Page 3 of 43
Page 5
as e
l h h e illi g d if i g
a g l A aS m · NCERT So ut ons
gl e l i
The milk poured into three same sized glasses -
co m
em.
Who d.craonmk the most milk? g l as
Q1
m a
l a se
a g
co m
e m . ag
g l as
a
co m
m.
N teaʼs ass
m R tuʼs ass Monuʼs ass
l as
.co a g
i gl gl i gl
se m
g l a The milk from each glass poured into three same-sized glasses.
a
m a s
m .co agl
l a se
Ritu drank the most milk .
a g
The milk of each glass was poured into three same-sized glasses.
In Rituʼs glass the milk stands the highest.
co m
m .
e
s is the most milk.
Wh.cyomThe gla e a e f he same size. So the highestglmailk
m a
: ss s r now o t
ase
agl
se m
com g l a
m . a
ase
agl
co m
m .
m as e
.co a g l
se m
g l a
a c
m .
m a s e
e m . co agl
g l as
a
com
m .
m ase
.co
a g l Page 4 of 43
l h h e illi g d if i g
a g l A aS m · NCERT So ut ons
gl e l i
The milk poured into three same sized glasses -
co m
em.
Who d.craonmk the most milk? g l as
Q1
m a
l a se
a g
co m
e m . ag
g l as
a
co m
m.
N teaʼs ass
m R tuʼs ass Monuʼs ass
l as
.co a g
i gl gl i gl
se m
g l a The milk from each glass poured into three same-sized glasses.
a
m a s
m .co agl
l a se
Ritu drank the most milk .
a g
The milk of each glass was poured into three same-sized glasses.
In Rituʼs glass the milk stands the highest.
co m
m .
e
s is the most milk.
Wh.cyomThe gla e a e f he same size. So the highestglmailk
m a
: ss s r now o t
ase
agl
se m
com g l a
m . a
ase
agl
co m
m .
m as e
.co a g l
se m
g l a
a c
m .
m a s e
e m . co agl
g l as
a
com
m .
m ase
.co
a g l Page 4 of 43
Page 6
l h h e illi g d if i g A aS m · NCERT So ut ons
gl e l i
Q2 Who drank the least milk?
Rituʼs glass Monuʼs glass Nitaʼs glass
The milk from each glass poured into three same-sized glasses.
Nita drank the least milk .
In Nita s glass the milk stands the lowest
ʼ .
Both the other glasses have more milk than hers .
Why I a e ized gla e he l e
: n s m -s ss s, t ow st milk is the least milk.
Page 5 of 43
gl e l i
Q2 Who drank the least milk?
Rituʼs glass Monuʼs glass Nitaʼs glass
The milk from each glass poured into three same-sized glasses.
Nita drank the least milk .
In Nita s glass the milk stands the lowest
ʼ .
Both the other glasses have more milk than hers .
Why I a e ized gla e he l e
: n s m -s ss s, t ow st milk is the least milk.
Page 5 of 43
Page 7
l h h e illi g d if i g A aS m · NCERT So ut ons
gl e l i
Q3 Fill in the blanks with ‘moreʼ or ‘lessʼ. (a) Nitaʼs glass holds ............. milk than Monuʼs
a
gl ss.
Rituʼs glass Monuʼs glass Nitaʼs glass
The milk from each glass poured into three same-sized glasses.
a) Nitaʼs glass holds less milk than Monuʼs glass.
(
Nitaʼs milk is lower than Monuʼs milk.
Why L e : ow r m ilk in a same-sized glass means less milk.
Q4 (b) Monuʼs glass holds ............. milk than Nitaʼs glass.
R tuʼs ass
i gl Monuʼs assgl N taʼs ass
i gl
The milk from each glass poured into three same-sized glasses.
b) Monuʼs glass holds more milk than Nitaʼs glass.
(
Page 6 of 43
gl e l i
Q3 Fill in the blanks with ‘moreʼ or ‘lessʼ. (a) Nitaʼs glass holds ............. milk than Monuʼs
a
gl ss.
Rituʼs glass Monuʼs glass Nitaʼs glass
The milk from each glass poured into three same-sized glasses.
a) Nitaʼs glass holds less milk than Monuʼs glass.
(
Nitaʼs milk is lower than Monuʼs milk.
Why L e : ow r m ilk in a same-sized glass means less milk.
Q4 (b) Monuʼs glass holds ............. milk than Nitaʼs glass.
R tuʼs ass
i gl Monuʼs assgl N taʼs ass
i gl
The milk from each glass poured into three same-sized glasses.
b) Monuʼs glass holds more milk than Nitaʼs glass.
(
Page 6 of 43
Page 8
l h h e illi g d if i g A aS m · NCERT So ut ons
gl e l i
Monuʼs milk is higher than Nitaʼs milk.
Why Highe: rm ilk in a same-sized glass means more milk.
Q5 R a a Na a
(c) ituʼs gl ss holds ............. milk th n it ʼs gl ss.
R tuʼs ass
i gl Monuʼs assgl N taʼs ass
i gl
The milk from each glass poured into three same-sized glasses.
c) Rituʼs glass holds more milk than Nitaʼs glass.
(
Rituʼs milk is the highest of all three.
Nitaʼs milk is the lowest of all three.
Why The highe
: st m ilk is more than the lowest milk.
Page 7 of 43
gl e l i
Monuʼs milk is higher than Nitaʼs milk.
Why Highe: rm ilk in a same-sized glass means more milk.
Q5 R a a Na a
(c) ituʼs gl ss holds ............. milk th n it ʼs gl ss.
R tuʼs ass
i gl Monuʼs assgl N taʼs ass
i gl
The milk from each glass poured into three same-sized glasses.
c) Rituʼs glass holds more milk than Nitaʼs glass.
(
Rituʼs milk is the highest of all three.
Nitaʼs milk is the lowest of all three.
Why The highe
: st m ilk is more than the lowest milk.
Page 7 of 43
Page 9
l h h e illi g d if i g A aS m · NCERT So ut ons
gl e l i
Q6 Tick ✓ the right name. (a) Nita/Monu/Rituʼs glass holds the most milk.
R tuʼs ass
i gl Monuʼs assgl N taʼs ass
i gl
The milk from each glass poured into three same-sized glasses.
a) Rituʼs glass holds the most milk.
(
Her milk stands higher than both the others .
Why I a e ized gla e he highe
: n s m -s ss s, t st m ilk is the most.
Q7 N aM R a
(b) it / onu/ ituʼs gl ss holds the le st milk. a
R tuʼs ass
i gl Monuʼs assgl N taʼs ass
i gl
The milk from each glass poured into three same-sized glasses.
b) Nitaʼs glass holds the least milk.
(
Page 8 of 43
gl e l i
Q6 Tick ✓ the right name. (a) Nita/Monu/Rituʼs glass holds the most milk.
R tuʼs ass
i gl Monuʼs assgl N taʼs ass
i gl
The milk from each glass poured into three same-sized glasses.
a) Rituʼs glass holds the most milk.
(
Her milk stands higher than both the others .
Why I a e ized gla e he highe
: n s m -s ss s, t st m ilk is the most.
Q7 N aM R a
(b) it / onu/ ituʼs gl ss holds the le st milk. a
R tuʼs ass
i gl Monuʼs assgl N taʼs ass
i gl
The milk from each glass poured into three same-sized glasses.
b) Nitaʼs glass holds the least milk.
(
Page 8 of 43
Page 10
as e
l h h e illi g d if i g
a g l A aS m · NCERT So ut ons
gl e l i
Her milk stands lower than both the others
co m
m.
.
Why I acome ized gla e he l e as e
.
: n s m -s ss s, t ow st m ilk is the least.
a g l
m
ase
agl
Let us Do — Page 141
Filling a glass and a bottle with small bowls of water .co
m
ag
sem
a gla
Q1 Get three vessels (like a small bowl, glass, and bottle) of different sizes from your
a a a a a
om if your
home. Guess: how m ny sm ll bowls will fill the gl ss? How m ny gl sses will fill the
bottle? First guess nd then pour w ter from one vessel into nother to.ccheck
a a a
m sem a
co agl
guess is correct.
m .
as e
a g l
m a s
m.co agl
l a se
a g
co m
ass
m .
se
bowl gl bottle
m l a
.co The three vessels for the activity a small bowl a g
aglass and a bottle
sem
: , .
a
agl
m
VESSEL MY GUESS FOR THE NUMBER OF SMALL BOWLS HOW MANY BOWLS
a se
G ass . com ag l
m
ase
l
agl
Bott le
co m
m .
e
m l as
.co
Pour water from the small bowl and count. Sample answer: Here is one childʼs table.
a g
a s em
agl VESSEL MY GUESS FOR THE NUMBER OF SMALL BOWLS HOW MANY BOWLS
.c
s e m
m a
G ass
co agl
3 2
.
l
e m
las
Bott 6 8
ag
le
How many glasses fill the bottle 4 glasses ? 2 2 2 2 8 bowls).
co m
m .
m as e
.co
a g l Page 9 of 43
l h h e illi g d if i g
a g l A aS m · NCERT So ut ons
gl e l i
Her milk stands lower than both the others
co m
m.
.
Why I acome ized gla e he l e as e
.
: n s m -s ss s, t ow st m ilk is the least.
a g l
m
ase
agl
Let us Do — Page 141
Filling a glass and a bottle with small bowls of water .co
m
ag
sem
a gla
Q1 Get three vessels (like a small bowl, glass, and bottle) of different sizes from your
a a a a a
om if your
home. Guess: how m ny sm ll bowls will fill the gl ss? How m ny gl sses will fill the
bottle? First guess nd then pour w ter from one vessel into nother to.ccheck
a a a
m sem a
co agl
guess is correct.
m .
as e
a g l
m a s
m.co agl
l a se
a g
co m
ass
m .
se
bowl gl bottle
m l a
.co The three vessels for the activity a small bowl a g
aglass and a bottle
sem
: , .
a
agl
m
VESSEL MY GUESS FOR THE NUMBER OF SMALL BOWLS HOW MANY BOWLS
a se
G ass . com ag l
m
ase
l
agl
Bott le
co m
m .
e
m l as
.co
Pour water from the small bowl and count. Sample answer: Here is one childʼs table.
a g
a s em
agl VESSEL MY GUESS FOR THE NUMBER OF SMALL BOWLS HOW MANY BOWLS
.c
s e m
m a
G ass
co agl
3 2
.
l
e m
las
Bott 6 8
ag
le
How many glasses fill the bottle 4 glasses ? 2 2 2 2 8 bowls).
co m
m .
m as e
.co
a g l Page 9 of 43
Page 11
l h h e illi g d if i g A aS m · NCERT So ut ons
gl e l i
Note: Your vessels may be of other sizes. Then your numbers will be different. That
is fine.
Q2 Fill in the blanks with ‘the mostʼ or ‘the leastʼ. (a) The glass holds ............. water.
bowl glass bottle
The three vessels for the activity: a small bowl, a glass and a bottle.
a) The glass holds the least water.
(
Only a few bowls of water fill the glass.
The bottle needs many more bowls than that.
About the book: The bowl holds even less than the glass Here we compare only .
t he glass and the bottle from the table.
Page 10 of 43
gl e l i
Note: Your vessels may be of other sizes. Then your numbers will be different. That
is fine.
Q2 Fill in the blanks with ‘the mostʼ or ‘the leastʼ. (a) The glass holds ............. water.
bowl glass bottle
The three vessels for the activity: a small bowl, a glass and a bottle.
a) The glass holds the least water.
(
Only a few bowls of water fill the glass.
The bottle needs many more bowls than that.
About the book: The bowl holds even less than the glass Here we compare only .
t he glass and the bottle from the table.
Page 10 of 43
Page 12
l h h e illi g d if i g A aS m · NCERT So ut ons
gl e l i
Q3 T
(b) he bottle holds ............. w ter. a
bowl glass bottle
The three vessels for the activity: a small bowl, a glass and a bottle.
b) The bottle holds the most water.
(
Many glasses of water go into the bottle.
So the bottle is the biggest of the three vessels.
Why The e el ha ake i he
: v ss t tt s nt most bowls is the biggest one.
Q4 Name the vessels that are used in your home that can store more water than your
bottle.
bowl glass bottle
The three vessels for the activity: a small bowl, a glass and a bottle.
Sample answer: These vessels at my home hold more water than my bottle :
Page 11 of 43
gl e l i
Q3 T
(b) he bottle holds ............. w ter. a
bowl glass bottle
The three vessels for the activity: a small bowl, a glass and a bottle.
b) The bottle holds the most water.
(
Many glasses of water go into the bottle.
So the bottle is the biggest of the three vessels.
Why The e el ha ake i he
: v ss t tt s nt most bowls is the biggest one.
Q4 Name the vessels that are used in your home that can store more water than your
bottle.
bowl glass bottle
The three vessels for the activity: a small bowl, a glass and a bottle.
Sample answer: These vessels at my home hold more water than my bottle :
Page 11 of 43
Page 13
l h h e illi g d if i g A aS m · NCERT So ut ons
gl e l i
a bucket
a matka (earthen pot)
a big cooking pan
a water drum
Why Ma b le f a e g i
: ny ott so w t r o nto a bucket. So the bucket holds more.
Let us Do — Page 142
At the lemonade stall — the ladle, the bowl, the glass and the jug
Q1 How many ladles fill the bowl? .............
adle
l bowl gl ass jug
The four pictures from the lemonade stall page. Each vessel is shown with the smaller vessel
it is filled with.
2 ladles fill the bowl.
In the picture the bowl is holding one ladle in each hand .
1 bowl = 2 ladles
Why The ic e h
: p tur s ows t he smaller vessel that fills each vessel.
Page 12 of 43
gl e l i
a bucket
a matka (earthen pot)
a big cooking pan
a water drum
Why Ma b le f a e g i
: ny ott so w t r o nto a bucket. So the bucket holds more.
Let us Do — Page 142
At the lemonade stall — the ladle, the bowl, the glass and the jug
Q1 How many ladles fill the bowl? .............
adle
l bowl gl ass jug
The four pictures from the lemonade stall page. Each vessel is shown with the smaller vessel
it is filled with.
2 ladles fill the bowl.
In the picture the bowl is holding one ladle in each hand .
1 bowl = 2 ladles
Why The ic e h
: p tur s ows t he smaller vessel that fills each vessel.
Page 12 of 43
Page 14
l h h e illi g d if i g A aS m · NCERT So ut ons
gl e l i
Q2 How many glasses can be filled by the jug? .............
adle
l owl
b ass
gl jug
The four pictures from the lemonade stall page. Each vessel is shown with the smaller vessel
it is filled with.
The jug can fill 4 glasses.
In the picture the jug is holding glasses in each hand 2 .
2 + 2 = 4 glasses
Why The j g i he bigge
: u st e el here, so it fills many glasses.
st v ss
Page 13 of 43
gl e l i
Q2 How many glasses can be filled by the jug? .............
adle
l owl
b ass
gl jug
The four pictures from the lemonade stall page. Each vessel is shown with the smaller vessel
it is filled with.
The jug can fill 4 glasses.
In the picture the jug is holding glasses in each hand 2 .
2 + 2 = 4 glasses
Why The j g i he bigge
: u st e el here, so it fills many glasses.
st v ss
Page 13 of 43
Page 15
as e
l h h e illi g d if i g
a g l A aS m · NCERT So ut ons
gl e l i
What will you use to fill half of the glass? co m
m.
Q3
m as e
.co a g l
se m
g l a
a
co m
e m . ag
g l as
a
adle owl ass ug
om
l b gl j
.csmaller vessel m
se
The four pictures from the lemonade stall page. Each vessel is shown with the
com
it is filled with.
g l a
m . a
ase
agl
m a s
.co agl
I will use one bowl
m
.
l a se
1 glass = 2 bowls a g
m
half a glass = 1 bowl
. co
em
m l as
.co a g
Two bowls make one full glass.
s e m
la
So one bowl makes half a glass .
ag
se m
com g l a
m . a
ase
agl
co m
m .
m ase
.co a g l
se m
g l a
a c
m .
m a s e
e m . co agl
g l as
a
co m
m .
m as e
.co
a g l Page 14 of 43
l h h e illi g d if i g
a g l A aS m · NCERT So ut ons
gl e l i
What will you use to fill half of the glass? co m
m.
Q3
m as e
.co a g l
se m
g l a
a
co m
e m . ag
g l as
a
adle owl ass ug
om
l b gl j
.csmaller vessel m
se
The four pictures from the lemonade stall page. Each vessel is shown with the
com
it is filled with.
g l a
m . a
ase
agl
m a s
.co agl
I will use one bowl
m
.
l a se
1 glass = 2 bowls a g
m
half a glass = 1 bowl
. co
em
m l as
.co a g
Two bowls make one full glass.
s e m
la
So one bowl makes half a glass .
ag
se m
com g l a
m . a
ase
agl
co m
m .
m ase
.co a g l
se m
g l a
a c
m .
m a s e
e m . co agl
g l as
a
co m
m .
m as e
.co
a g l Page 14 of 43
Page 16
l h h e illi g d if i g A aS m · NCERT So ut ons
gl e l i
Q4 Which of these would you use for distributing the lemonade in glasses? Why?
adle
l b owl ass
gl jug
The four pictures from the lemonade stall page. Each vessel is shown with the smaller vessel
it is filled with.
I will use the jug .
The jug holds the most lemonade of all four.
It has a handle and a lip, so pouring is easy.
One jugful fills 4 glasses at a time.
Why Wi h a big e el e g
: t v ss w o to t he pot fewer times.
Page 15 of 43
gl e l i
Q4 Which of these would you use for distributing the lemonade in glasses? Why?
adle
l b owl ass
gl jug
The four pictures from the lemonade stall page. Each vessel is shown with the smaller vessel
it is filled with.
I will use the jug .
The jug holds the most lemonade of all four.
It has a handle and a lip, so pouring is easy.
One jugful fills 4 glasses at a time.
Why Wi h a big e el e g
: t v ss w o to t he pot fewer times.
Page 15 of 43
Page 17
l h h e illi g d if i g A aS m · NCERT So ut ons
gl e l i
Q5 How many glasses can be filled with 3 jugs of lemonade?
adle
l b owl ass
gl ug
j
The four pictures from the lemonade stall page. Each vessel is shown with the smaller vessel
it is filled with.
12 glasses can be filled.
1 jug = 4 glasses
3 jugs = 4 + 4 + 4
= 12 glasses
Why Each j g gi e
: u v s4 glasses. Three jugs give that amount three times.
Page 16 of 43
gl e l i
Q5 How many glasses can be filled with 3 jugs of lemonade?
adle
l b owl ass
gl ug
j
The four pictures from the lemonade stall page. Each vessel is shown with the smaller vessel
it is filled with.
12 glasses can be filled.
1 jug = 4 glasses
3 jugs = 4 + 4 + 4
= 12 glasses
Why Each j g gi e
: u v s4 glasses. Three jugs give that amount three times.
Page 16 of 43
Page 18
l h h e illi g d if i g A aS m · NCERT So ut ons
gl e l i
Q6 How many ladles are needed to fill 4 glasses?
adle
l owl
b ass
gl jug
The four pictures from the lemonade stall page. Each vessel is shown with the smaller vessel
it is filled with.
16 ladles are needed.
1 glass = 2 bowls
1 bowl = 2 ladles
So 1 glass = 2 + 2 = 4 ladles
4 glasses = 4 + 4 + 4 + 4
= 16 ladles
Page 17 of 43
gl e l i
Q6 How many ladles are needed to fill 4 glasses?
adle
l owl
b ass
gl jug
The four pictures from the lemonade stall page. Each vessel is shown with the smaller vessel
it is filled with.
16 ladles are needed.
1 glass = 2 bowls
1 bowl = 2 ladles
So 1 glass = 2 + 2 = 4 ladles
4 glasses = 4 + 4 + 4 + 4
= 16 ladles
Page 17 of 43
Page 19
l h h e illi g d if i g A aS m · NCERT So ut ons
gl e l i
Q7 Can you use a ladle, bowl or a glass to find out how much lemonade a jug can hold?
adle
l owl
b ass
gl jug
The four pictures from the lemonade stall page. Each vessel is shown with the smaller vessel
it is filled with.
Yes, we can.
Fill the ladle with lemonade.
Pour it into the jug.
Do this again and again till the jug is full.
Count how many times you poured.
We can do the same with the bowl or the glass.
Why A : sma ll vessel can measure a big one.
A Measuring Bottle — Page 143
Page 18 of 43
gl e l i
Q7 Can you use a ladle, bowl or a glass to find out how much lemonade a jug can hold?
adle
l owl
b ass
gl jug
The four pictures from the lemonade stall page. Each vessel is shown with the smaller vessel
it is filled with.
Yes, we can.
Fill the ladle with lemonade.
Pour it into the jug.
Do this again and again till the jug is full.
Count how many times you poured.
We can do the same with the bowl or the glass.
Why A : sma ll vessel can measure a big one.
A Measuring Bottle — Page 143
Page 18 of 43
Page 20
as e
l h h e illi g d if i g
a g l A aS m · NCERT So ut ons
gl e l i
, ʼ
Nita the milkman s measuring cup and the litre bottle 1
co m
s with your e m.
m think milkmen use measuring cups for giving milk? Dgislcauss
Why d.ocoyou
Q1
paerm
ents, grandparents and in your class. a
a s
agl
co m
em . ag
g l as
a
co m
em.
m l as
m .co bottle 1 litre) jug glass
a g bowl
l a se
a g Nitaʼs 1 litre bottle, and the jug, glass and bowl she fills from it.
m a s
em
.co agl
l a s
So that every person gets the saag
me amount of milk .
m
The measuring cup holds exactly 1 litre every time.
. co
m
Nobody gets less milk and nobody gets more.
o m l a se
W h.cy Glasses at home come in many sizes A measuringacgup is always of one size
m
ase
: . .
agl
se m
Let us Discuss — Pages 143–144com g l a
m . a
ase
agl
co m
m .
m as e
.co a g l
se m
g l a
a c
m .
m a s e
e m . co agl
g l as
a
com
m .
m ase
.co
a g l Page 19 of 43
l h h e illi g d if i g
a g l A aS m · NCERT So ut ons
gl e l i
, ʼ
Nita the milkman s measuring cup and the litre bottle 1
co m
s with your e m.
m think milkmen use measuring cups for giving milk? Dgislcauss
Why d.ocoyou
Q1
paerm
ents, grandparents and in your class. a
a s
agl
co m
em . ag
g l as
a
co m
em.
m l as
m .co bottle 1 litre) jug glass
a g bowl
l a se
a g Nitaʼs 1 litre bottle, and the jug, glass and bowl she fills from it.
m a s
em
.co agl
l a s
So that every person gets the saag
me amount of milk .
m
The measuring cup holds exactly 1 litre every time.
. co
m
Nobody gets less milk and nobody gets more.
o m l a se
W h.cy Glasses at home come in many sizes A measuringacgup is always of one size
m
ase
: . .
agl
se m
Let us Discuss — Pages 143–144com g l a
m . a
ase
agl
co m
m .
m as e
.co a g l
se m
g l a
a c
m .
m a s e
e m . co agl
g l as
a
com
m .
m ase
.co
a g l Page 19 of 43
Page 21
l h h e illi g d if i g A aS m · NCERT So ut ons
gl e l i
Checking vessels with the 1 litre bottle
Q1 Tick ✓ the appropriate word in the sentences given below. (a) The glass holds more
than/less than 1 litre.
bottle 1 litre) jug glass bowl
Nitaʼs 1 litre bottle, and the jug, glass and bowl she fills from it.
a) The glass holds less than 1 litre.
(
The 1 litre bottle fills several glasses.
So one glass is smaller than 1 litre.
Why If a: m ny o t f hem fill the bottle, each one is less than a litre.
Page 20 of 43
gl e l i
Checking vessels with the 1 litre bottle
Q1 Tick ✓ the appropriate word in the sentences given below. (a) The glass holds more
than/less than 1 litre.
bottle 1 litre) jug glass bowl
Nitaʼs 1 litre bottle, and the jug, glass and bowl she fills from it.
a) The glass holds less than 1 litre.
(
The 1 litre bottle fills several glasses.
So one glass is smaller than 1 litre.
Why If a: m ny o t f hem fill the bottle, each one is less than a litre.
Page 20 of 43
Page 22
l h h e illi g d if i g A aS m · NCERT So ut ons
gl e l i
Q2 T a
(b) he bowl holds more th n/less th n 1 litre. a
bottle 1 litre) jug glass bowl
Nitaʼs 1 litre bottle, and the jug, glass and bowl she fills from it.
b) The bowl holds less than 1 litre.
(
The bowl is even smaller than the glass.
Many bowls of water go into the 1 litre bottle.
Why A : sma ll vessel holds less than a litre.
Q3 T a a
(c) he jug holds more th n/less th n/ex ctly 1 litre. a
bottle 1 litre) jug glass bowl
Nitaʼs 1 litre bottle, and the jug, glass and bowl she fills from it.
c) The jug holds exactly 1 litre.
(
Page 21 of 43
gl e l i
Q2 T a
(b) he bowl holds more th n/less th n 1 litre. a
bottle 1 litre) jug glass bowl
Nitaʼs 1 litre bottle, and the jug, glass and bowl she fills from it.
b) The bowl holds less than 1 litre.
(
The bowl is even smaller than the glass.
Many bowls of water go into the 1 litre bottle.
Why A : sma ll vessel holds less than a litre.
Q3 T a a
(c) he jug holds more th n/less th n/ex ctly 1 litre. a
bottle 1 litre) jug glass bowl
Nitaʼs 1 litre bottle, and the jug, glass and bowl she fills from it.
c) The jug holds exactly 1 litre.
(
Page 21 of 43
Page 23
l h h e illi g d if i g A aS m · NCERT So ut ons
gl e l i
Nita poured the full bottle into the jug.
The jug became just full — nothing was left over.
Why The b le h ld
: ott o s1 litre. The jug took in all of it and no more.
Q4 Find the vessels at home that are exactly 1 litre. Use your 1 litre bottle to check.
bottle 1 litre) jug glass bowl
Nitaʼs 1 litre bottle, and the jug, glass and bowl she fills from it.
Fill your 1 litre bottle with water.
Pour it fully into a vessel.
If the vessel becomes just full, it is 1 litre.
Vessels that are often 1 litre:
a 1 litre milk packet
a 1 litre water bottle
a 1 litre oil bottle
Page 22 of 43
gl e l i
Nita poured the full bottle into the jug.
The jug became just full — nothing was left over.
Why The b le h ld
: ott o s1 litre. The jug took in all of it and no more.
Q4 Find the vessels at home that are exactly 1 litre. Use your 1 litre bottle to check.
bottle 1 litre) jug glass bowl
Nitaʼs 1 litre bottle, and the jug, glass and bowl she fills from it.
Fill your 1 litre bottle with water.
Pour it fully into a vessel.
If the vessel becomes just full, it is 1 litre.
Vessels that are often 1 litre:
a 1 litre milk packet
a 1 litre water bottle
a 1 litre oil bottle
Page 22 of 43
Page 24
l h h e illi g d if i g A aS m · NCERT So ut ons
gl e l i
Q5 Identify vessels that are more than or less than 1 litre.
bottle 1 litre) jug glass bowl
Nitaʼs 1 litre bottle, and the jug, glass and bowl she fills from it.
Check each vessel with your litre bottle Sample answer:
1 .
MORE THAN 1 LITRE LESS THAN 1 LITRE
bucket, big pan, matka, water drum cup, glass, bowl, spoon, small bottle
Why If he b le d e
: t ott fill the vessel, it is more than 1 litre. If the vessel
o s not
overflows, it is less than 1 litre.
Let us Think — Page 144
Page 23 of 43
gl e l i
Q5 Identify vessels that are more than or less than 1 litre.
bottle 1 litre) jug glass bowl
Nitaʼs 1 litre bottle, and the jug, glass and bowl she fills from it.
Check each vessel with your litre bottle Sample answer:
1 .
MORE THAN 1 LITRE LESS THAN 1 LITRE
bucket, big pan, matka, water drum cup, glass, bowl, spoon, small bottle
Why If he b le d e
: t ott fill the vessel, it is more than 1 litre. If the vessel
o s not
overflows, it is less than 1 litre.
Let us Think — Page 144
Page 23 of 43
Page 25
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a g l A aS m · NCERT So ut ons
gl e l i
The mug and the glass beside the litre bottle 1
co m
e m.
Q1 Look a.ct othempicture and tick ✓ the appropriate word. (a) The muagghloaldss a litre/half litre
a s mater.
ofew
agl
co m
e m . ag
l as
poured still full
g
all poured
a
mle litre
cobott
2 mugs bottle 1 litre) 4 glasses
m .
se
1 )
. cLoefm a
t: one mug has been poured into the 1 litre bottle and the secongdlamug is still full. Right: 4
a s em glasses have been poured into the 1 litre bottle.
agl
m a s
.co agl
se m
a) The mug holds a half litre of water.
g l a
a
(
m
2 mugs = 1 litre
. co
e m
as
1 mug = half litre
m l
.co a g
a s em
l
One mug fills the litre bottle only half
g
1 .
a The second mug fills the rest .
se m
com g l a
m . a
ase
agl
co m
m .
m as e
.co a g l
se m
g l a
a c
m .
m a s e
e m . co agl
g l as
a
co m
m .
m ase
.co
a g l Page 24 of 43
l h h e illi g d if i g
a g l A aS m · NCERT So ut ons
gl e l i
The mug and the glass beside the litre bottle 1
co m
e m.
Q1 Look a.ct othempicture and tick ✓ the appropriate word. (a) The muagghloaldss a litre/half litre
a s mater.
ofew
agl
co m
e m . ag
l as
poured still full
g
all poured
a
mle litre
cobott
2 mugs bottle 1 litre) 4 glasses
m .
se
1 )
. cLoefm a
t: one mug has been poured into the 1 litre bottle and the secongdlamug is still full. Right: 4
a s em glasses have been poured into the 1 litre bottle.
agl
m a s
.co agl
se m
a) The mug holds a half litre of water.
g l a
a
(
m
2 mugs = 1 litre
. co
e m
as
1 mug = half litre
m l
.co a g
a s em
l
One mug fills the litre bottle only half
g
1 .
a The second mug fills the rest .
se m
com g l a
m . a
ase
agl
co m
m .
m as e
.co a g l
se m
g l a
a c
m .
m a s e
e m . co agl
g l as
a
co m
m .
m ase
.co
a g l Page 24 of 43
Page 26
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gl e l i
Q2 T a a a a
(b) he gl ss holds litre/h lf litre/qu rter litre of w ter. a
poured still full all poured
2 mugs bottle 1 litre) 4 glasses bottle 1 litre)
Left: one mug has been poured into the 1 litre bottle and the second mug is still full. Right: 4
glasses have been poured into the 1 litre bottle.
b) The glass holds a quarter litre of water.
(
4 glasses = 1 litre
1 glass = quarter litre
In the picture glasses fill the litre bottle
4 1 .
Remember: 2 half litres make 1 litre, and 4 quarter litres also make 1 litre.
Let us Explore — Page 144
Page 25 of 43
gl e l i
Q2 T a a a a
(b) he gl ss holds litre/h lf litre/qu rter litre of w ter. a
poured still full all poured
2 mugs bottle 1 litre) 4 glasses bottle 1 litre)
Left: one mug has been poured into the 1 litre bottle and the second mug is still full. Right: 4
glasses have been poured into the 1 litre bottle.
b) The glass holds a quarter litre of water.
(
4 glasses = 1 litre
1 glass = quarter litre
In the picture glasses fill the litre bottle
4 1 .
Remember: 2 half litres make 1 litre, and 4 quarter litres also make 1 litre.
Let us Explore — Page 144
Page 25 of 43
Page 27
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gl e l i
Guess first, then check with the 1 litre bottle
Q1 First guess and check with the 1 litre bottle. (a) How much water does a bucket hold at
a a
your home: more th n/less th n/equ l to 1 litre.a
bucket mug glass bottle 1 litre)
A bucket, a mug and a glass from home, beside the 1 litre bottle.
a) A bucket at home holds more than 1 litre.
(
Many bottles of water go into one bucket.
Check it yourself: Pour bottle after bottle into your bucket and count how many it
ta kes.
Page 26 of 43
gl e l i
Guess first, then check with the 1 litre bottle
Q1 First guess and check with the 1 litre bottle. (a) How much water does a bucket hold at
a a
your home: more th n/less th n/equ l to 1 litre.a
bucket mug glass bottle 1 litre)
A bucket, a mug and a glass from home, beside the 1 litre bottle.
a) A bucket at home holds more than 1 litre.
(
Many bottles of water go into one bucket.
Check it yourself: Pour bottle after bottle into your bucket and count how many it
ta kes.
Page 26 of 43
Page 28
l h h e illi g d if i g A aS m · NCERT So ut ons
gl e l i
Q2 a a a a
(b) How much w ter does mug hold t your home: less th n/more th n/equ l to h lf a a a a
litre.
bucket mug glass bottle 1 litre)
A bucket, a mug and a glass from home, beside the 1 litre bottle.
b) Sample answer: A mug at my home holds water equal to half a litre.
(
2mugs fill the 1 litre bottle.
So one mug is half a litre.
Check it yourself: A very big mug may hold more than half a litre Pour and see . .
Q3 a a a a a
(c) How much w ter does gl ss hold: less th n/more th n/equ l to qu rter litre.a a a
bucket mug glass bottle 1 litre)
A bucket, a mug and a glass from home, beside the 1 litre bottle.
c) Sample answer: A glass holds water equal to a quarter litre.
(
Page 27 of 43
gl e l i
Q2 a a a a
(b) How much w ter does mug hold t your home: less th n/more th n/equ l to h lf a a a a
litre.
bucket mug glass bottle 1 litre)
A bucket, a mug and a glass from home, beside the 1 litre bottle.
b) Sample answer: A mug at my home holds water equal to half a litre.
(
2mugs fill the 1 litre bottle.
So one mug is half a litre.
Check it yourself: A very big mug may hold more than half a litre Pour and see . .
Q3 a a a a a
(c) How much w ter does gl ss hold: less th n/more th n/equ l to qu rter litre.a a a
bucket mug glass bottle 1 litre)
A bucket, a mug and a glass from home, beside the 1 litre bottle.
c) Sample answer: A glass holds water equal to a quarter litre.
(
Page 27 of 43
Page 29
l h h e illi g d if i g A aS m · NCERT So ut ons
gl e l i
4glasses fill the 1 litre bottle.
So one glass is a quarter litre.
Check it yourself: A small glass may hold less than a quarter litre .
Heavy or Light? — Page 145
Chintu holds 3 textbooks in one hand and a pencil box in the other
Q1 Discuss in pairs why one hand of Chintu is lower than the other?
pencil box
3 textbooks
Chintu holding 3 textbooks in one hand and a pencil box in the other.
Because the textbooks are heavier than the pencil box
3 .
The hand holding the books is pulled down.
The hand holding the pencil box stays up.
Why A hea ie hi g
: v rt n pus hes the hand down. A lighter thing does not push so much.
Page 28 of 43
gl e l i
4glasses fill the 1 litre bottle.
So one glass is a quarter litre.
Check it yourself: A small glass may hold less than a quarter litre .
Heavy or Light? — Page 145
Chintu holds 3 textbooks in one hand and a pencil box in the other
Q1 Discuss in pairs why one hand of Chintu is lower than the other?
pencil box
3 textbooks
Chintu holding 3 textbooks in one hand and a pencil box in the other.
Because the textbooks are heavier than the pencil box
3 .
The hand holding the books is pulled down.
The hand holding the pencil box stays up.
Why A hea ie hi g
: v rt n pus hes the hand down. A lighter thing does not push so much.
Page 28 of 43
Page 30
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m is
Try holding the following things in both hands. Make observations in pairs..cWohich
m
Q2
heavier and which is lighter?
m ase
m . co agl
l a seTHINGS TO COMPARE MY OBSERVATION MY FRIENDʼS
ag OBSERVATION
m
.co ag
Lunch box and pencil box ............. is heavier than ............. is heavier than
sem
............. .............
a
Your school bag and lunch bag
agl
m
Apple and watermelon
co
e m.
m as
A balloon filled with air and a
.co
basketball
a g l
se m
g l a
a
Hold one thing in each hand and feel whichchoam a s
. agl
nd goes down Sample answer:
m
ase
.
THINGS TO COMPARE
agMYl OBSERVATION MY FRIENDʼS
OBSERVATION
. com
em
Lunch box and pencil box The lunch box is heavier than the The lunch box is heavier than the
a s
com gl school bag is heavier than the
pencil box. pencil box.
Ym
. aThe
e
as a
our s oo a an un The school bag is heavier than the
agl
ch l b g d l ch
b g lunch bag. lunch bag.
App
se m
com a
and watermelon The watermelon is heavier than the The watermelon is heavier than the
l
le
.
apple. apple.
ag
e m
s basketball is heavier than the
aThe
agl balloon.
A a oon
b ll filled with air and a The basketball is heavier than the
b asketball balloon.
co m
Why The ha d ha g e d m .
e
holds the heavier thing.
as
: n t t o s own
m l
m .co a g
l a se
ag
.c
s e m
m a
e m . co agl
g l as
a
co m
m .
m as e
.co
a g l Page 29 of 43
l h h e illi g d if i g
a g l A aS m · NCERT So ut ons
gl e l i
m is
Try holding the following things in both hands. Make observations in pairs..cWohich
m
Q2
heavier and which is lighter?
m ase
m . co agl
l a seTHINGS TO COMPARE MY OBSERVATION MY FRIENDʼS
ag OBSERVATION
m
.co ag
Lunch box and pencil box ............. is heavier than ............. is heavier than
sem
............. .............
a
Your school bag and lunch bag
agl
m
Apple and watermelon
co
e m.
m as
A balloon filled with air and a
.co
basketball
a g l
se m
g l a
a
Hold one thing in each hand and feel whichchoam a s
. agl
nd goes down Sample answer:
m
ase
.
THINGS TO COMPARE
agMYl OBSERVATION MY FRIENDʼS
OBSERVATION
. com
em
Lunch box and pencil box The lunch box is heavier than the The lunch box is heavier than the
a s
com gl school bag is heavier than the
pencil box. pencil box.
Ym
. aThe
e
as a
our s oo a an un The school bag is heavier than the
agl
ch l b g d l ch
b g lunch bag. lunch bag.
App
se m
com a
and watermelon The watermelon is heavier than the The watermelon is heavier than the
l
le
.
apple. apple.
ag
e m
s basketball is heavier than the
aThe
agl balloon.
A a oon
b ll filled with air and a The basketball is heavier than the
b asketball balloon.
co m
Why The ha d ha g e d m .
e
holds the heavier thing.
as
: n t t o s own
m l
m .co a g
l a se
ag
.c
s e m
m a
e m . co agl
g l as
a
co m
m .
m as e
.co
a g l Page 29 of 43
Page 31
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gl e l i
Q3 Do you and your friends agree on which is lighter and heavier?
THINGS TO COMPARE MY OBSERVATION MY FRIENDʼS
OBSERVATION
Lunch box and pencil box ............. is heavier than ............. is heavier than
............. .............
Your school bag and lunch bag
Apple and watermelon
A balloon filled with air and a
basketball
Sample answer: Yes we agree almost every time
, .
The heavier thing pulls the hand down for me too.
It pulls my friendʼs hand down in the same way.
Sometimes two things feel almost the same. Then we put them on a pan-balance.
Let us Do — Page 146
,
Weighing with coins erasers and a matchbox full of sand
Q1 Write the names of the objects and their weights in the table given below:
OBJECTS HOW MANY COINS OR ERASERS BALANCE THE OBJECT?
Pencil
Ping Pong Ball
Put the object on one pan. Add coins on the other pan till both pans are level. Sample answer:
Page 30 of 43
gl e l i
Q3 Do you and your friends agree on which is lighter and heavier?
THINGS TO COMPARE MY OBSERVATION MY FRIENDʼS
OBSERVATION
Lunch box and pencil box ............. is heavier than ............. is heavier than
............. .............
Your school bag and lunch bag
Apple and watermelon
A balloon filled with air and a
basketball
Sample answer: Yes we agree almost every time
, .
The heavier thing pulls the hand down for me too.
It pulls my friendʼs hand down in the same way.
Sometimes two things feel almost the same. Then we put them on a pan-balance.
Let us Do — Page 146
,
Weighing with coins erasers and a matchbox full of sand
Q1 Write the names of the objects and their weights in the table given below:
OBJECTS HOW MANY COINS OR ERASERS BALANCE THE OBJECT?
Pencil
Ping Pong Ball
Put the object on one pan. Add coins on the other pan till both pans are level. Sample answer:
Page 30 of 43
Page 32
l h h e illi g d if i g A aS m · NCERT So ut ons
gl e l i
OBJECTS HOW MANY COINS OR ERASERS BALANCE THE OBJECT?
Pencil 2 coins
Ping Pong Ball 1 coin
Eras re 3 coins
Cah lk 2 coins
Key 4 coins
Note: Your coins may be of another size. Then your numbers will be different.
Q2 Let us make another weight to measure slightly heavier objects. Fill a matchbox with
sand and use this to weigh the following objects. Guess the weight in terms of
matchboxes and then verify.
OBJECTS YOUR GUESS FOR THE NUMBER OF NUMBER OF MATCHBOXES
MATCHBOXES NEEDED TO BALANCE USED TO BALANCE THE
THE OBJECT OBJECT
Pencil box
A spoon
4 marbles
Fill a matchbox with sand Use it as your weight on the pan balance Sample answer:
. - .
Page 31 of 43
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OBJECTS HOW MANY COINS OR ERASERS BALANCE THE OBJECT?
Pencil 2 coins
Ping Pong Ball 1 coin
Eras re 3 coins
Cah lk 2 coins
Key 4 coins
Note: Your coins may be of another size. Then your numbers will be different.
Q2 Let us make another weight to measure slightly heavier objects. Fill a matchbox with
sand and use this to weigh the following objects. Guess the weight in terms of
matchboxes and then verify.
OBJECTS YOUR GUESS FOR THE NUMBER OF NUMBER OF MATCHBOXES
MATCHBOXES NEEDED TO BALANCE USED TO BALANCE THE
THE OBJECT OBJECT
Pencil box
A spoon
4 marbles
Fill a matchbox with sand Use it as your weight on the pan balance Sample answer:
. - .
Page 31 of 43
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OBJECTS YOUR GUESS FOR THE NUMBER OF NUMBER OF MATCHBOXES
MATCHBOXES NEEDED TO BALANCE USED TO BALANCE THE
THE OBJECT OBJECT
Pencil box 4 3
A spoon 2 1
4 mar ble s 3 2
Eras r e 1 1
Small 3 4
notebook
Why A a d filled a chb i hea ie ha a c i S i ca
: s n - m t ox s v rt n o n. o t nweigh slightly heavier
t hings.
Q3 Write the names of all objects measured in the order of lightest to heaviest.
OBJECTS YOUR GUESS FOR THE NUMBER OF NUMBER OF MATCHBOXES
MATCHBOXES NEEDED TO BALANCE USED TO BALANCE THE
THE OBJECT OBJECT
Pencil box
A spoon
4 marbles
Write them from the fewest matchboxes to the most matchboxes. Sample answer: (from the
sample table in Q2
eraser (1) → a spoon (1) → 4 marbles (2) → pencil box (3) → small notebook (4)
Page 32 of 43
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OBJECTS YOUR GUESS FOR THE NUMBER OF NUMBER OF MATCHBOXES
MATCHBOXES NEEDED TO BALANCE USED TO BALANCE THE
THE OBJECT OBJECT
Pencil box 4 3
A spoon 2 1
4 mar ble s 3 2
Eras r e 1 1
Small 3 4
notebook
Why A a d filled a chb i hea ie ha a c i S i ca
: s n - m t ox s v rt n o n. o t nweigh slightly heavier
t hings.
Q3 Write the names of all objects measured in the order of lightest to heaviest.
OBJECTS YOUR GUESS FOR THE NUMBER OF NUMBER OF MATCHBOXES
MATCHBOXES NEEDED TO BALANCE USED TO BALANCE THE
THE OBJECT OBJECT
Pencil box
A spoon
4 marbles
Write them from the fewest matchboxes to the most matchboxes. Sample answer: (from the
sample table in Q2
eraser (1) → a spoon (1) → 4 marbles (2) → pencil box (3) → small notebook (4)
Page 32 of 43
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Why M e a chb e
: or m t ox s m eans heavier.
Let us Do — Weight hunt — Page 147
Comparing school bags in your group
Q1 Why is your bag heavier or lighter?
Because of the things kept inside it .
More books make the bag heavier.
A water bottle and a lunch box add weight too.
Fewer books make the bag lighter .
Why The eigh f a bag i he eigh f e e hi g i ide i
: w to st w to v ryt n ns t.
Q2 Count the number of books to see if there is a difference in the number of books in the
a
b g.
Count the books in both bags and compare Sample answer: .
My bag → 6 books
My friend’s bag → 4 books
6 − 4 = 2 books more
Why The bag i h
: wt mor e books is usually the heavier one.
Q3 Can you make the two bags of about the same weight by moving a book? Discuss.
Yes, very often we can.
Take one book out of the heavier bag.
Page 33 of 43
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Why M e a chb e
: or m t ox s m eans heavier.
Let us Do — Weight hunt — Page 147
Comparing school bags in your group
Q1 Why is your bag heavier or lighter?
Because of the things kept inside it .
More books make the bag heavier.
A water bottle and a lunch box add weight too.
Fewer books make the bag lighter .
Why The eigh f a bag i he eigh f e e hi g i ide i
: w to st w to v ryt n ns t.
Q2 Count the number of books to see if there is a difference in the number of books in the
a
b g.
Count the books in both bags and compare Sample answer: .
My bag → 6 books
My friend’s bag → 4 books
6 − 4 = 2 books more
Why The bag i h
: wt mor e books is usually the heavier one.
Q3 Can you make the two bags of about the same weight by moving a book? Discuss.
Yes, very often we can.
Take one book out of the heavier bag.
Page 33 of 43
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Put that book into the lighter bag.
co m
Lift both bags again and feel them.
em.
m l as
m .co a g
l a se
6 and 4 books
g
amove 1 book
co m
. ag
5 and 5 books
em
g l as
a
How much is 1 Kilogram? — Pages 147–148 m
co
1
The kilogram salt packet as our measuring tool
em.
m l as
.co a g
Q1sem
Write the names of the objects that are 1 kilogram. .................................. ,
a
agl ..................................
m a s
.co agl
m kilogram is written
Sample answer: Things at home on wehich
s
gla
1 :
a 1 kilogram salt packet a
a 1 kilogram rice packet
co m
a 1 kilogram sugar packet
m .
m ase
l
a 1 kilogram atta packet
.co a g
a s eTmip Look for
gl
kgʼ printed on the packet. Then lift it and feel how heavy 1 kilogram
a
: ‘1
is.
se m
com g l a
m . a
ase
agl
co m
m .
m as e
.co a g l
se m
g l a
a c
m .
m a s e
e m . co agl
g l as
a
co m
m .
m as e
.co
a g l Page 34 of 43
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Put that book into the lighter bag.
co m
Lift both bags again and feel them.
em.
m l as
m .co a g
l a se
6 and 4 books
g
amove 1 book
co m
. ag
5 and 5 books
em
g l as
a
How much is 1 Kilogram? — Pages 147–148 m
co
1
The kilogram salt packet as our measuring tool
em.
m l as
.co a g
Q1sem
Write the names of the objects that are 1 kilogram. .................................. ,
a
agl ..................................
m a s
.co agl
m kilogram is written
Sample answer: Things at home on wehich
s
gla
1 :
a 1 kilogram salt packet a
a 1 kilogram rice packet
co m
a 1 kilogram sugar packet
m .
m ase
l
a 1 kilogram atta packet
.co a g
a s eTmip Look for
gl
kgʼ printed on the packet. Then lift it and feel how heavy 1 kilogram
a
: ‘1
is.
se m
com g l a
m . a
ase
agl
co m
m .
m as e
.co a g l
se m
g l a
a c
m .
m a s e
e m . co agl
g l as
a
co m
m .
m as e
.co
a g l Page 34 of 43
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Q2 Can you guess which of these things are likely to be lighter or heavier than 1 kilogram?
Put a tick ✓ mark in the appropriate box.
Objects
pen table water bottle lunch box balloons pencil box pillow
More than 1 kg
Less than 1 kg
The seven things from the bookʼs table, with the two empty tick rows.
Hold the kilogram salt packet in one hand and the thing in the other
1 .
OBJECT MORE THAN 1 KG LESS THAN 1 KG
Pen – ✔
Table ✔ –
Water bottle – ✔
Lunch box – ✔
Ba oons
ll – ✔
Pencil box – ✔
Pillow – ✔
Why The able i hea
: t s vy. T he rest feel lighter than the salt packet.
Check it yourself: A full litre bottle of water is about kilogram A big pillow may
1 1 .
be heavier.
Page 35 of 43
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Q2 Can you guess which of these things are likely to be lighter or heavier than 1 kilogram?
Put a tick ✓ mark in the appropriate box.
Objects
pen table water bottle lunch box balloons pencil box pillow
More than 1 kg
Less than 1 kg
The seven things from the bookʼs table, with the two empty tick rows.
Hold the kilogram salt packet in one hand and the thing in the other
1 .
OBJECT MORE THAN 1 KG LESS THAN 1 KG
Pen – ✔
Table ✔ –
Water bottle – ✔
Lunch box – ✔
Ba oons
ll – ✔
Pencil box – ✔
Pillow – ✔
Why The able i hea
: t s vy. T he rest feel lighter than the salt packet.
Check it yourself: A full litre bottle of water is about kilogram A big pillow may
1 1 .
be heavier.
Page 35 of 43
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Q3 Look at the balance and tick ✓ the correct word. (a) Each daal packet weighs a half
kilogram/kilogram
Salt 1 kg
Pulses Pulses
The pan-balance with daal packets on one pan and a 1 kg salt packet on the other.
a) Each daal packet weighs a half kilogram.
(
2 daal packets = 1 kilogram
1 daal packet = half kilogram
Both pans of the balance are level .
So the 2 daal packets together are 1 kilogram.
Why T : wo equal halves make one whole.
Page 36 of 43
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Q3 Look at the balance and tick ✓ the correct word. (a) Each daal packet weighs a half
kilogram/kilogram
Salt 1 kg
Pulses Pulses
The pan-balance with daal packets on one pan and a 1 kg salt packet on the other.
a) Each daal packet weighs a half kilogram.
(
2 daal packets = 1 kilogram
1 daal packet = half kilogram
Both pans of the balance are level .
So the 2 daal packets together are 1 kilogram.
Why T : wo equal halves make one whole.
Page 36 of 43
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Q4 a a a a a a a a
(b) E ch te p cket weighs h lf kilogr m/qu rter kilogr m/kilogr m. a
Salt 1 kg
Tea Tea Tea Tea
The pan-balance with tea packets on one pan and a 1 kg salt packet on the other.
b) Each tea packet weighs a quarter kilogram.
(
4 tea packets = 1 kilogram
1 tea packet = quarter kilogram
The pans are level, so the 4 packets are 1 kilogram.
Remember: 2 half kilograms make 1 kilogram, and 4 quarter kilograms also make 1
kilogram.
Let us Explore — Page 148
Page 37 of 43
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Q4 a a a a a a a a
(b) E ch te p cket weighs h lf kilogr m/qu rter kilogr m/kilogr m. a
Salt 1 kg
Tea Tea Tea Tea
The pan-balance with tea packets on one pan and a 1 kg salt packet on the other.
b) Each tea packet weighs a quarter kilogram.
(
4 tea packets = 1 kilogram
1 tea packet = quarter kilogram
The pans are level, so the 4 packets are 1 kilogram.
Remember: 2 half kilograms make 1 kilogram, and 4 quarter kilograms also make 1
kilogram.
Let us Explore — Page 148
Page 37 of 43
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Half kilogram and quarter kilogram things at home
Q1 Look around your house, and identify objects that are about half a kilogram and
quarter of a kilogram. Feel these things with your hand and guess what other things
are a half or quarter kilogram. List the objects that are about a quarter kilogram and a
half kilogram. Verify with the 1 kilogram salt packet.
First lift the kilogram salt packet Then lift each thing and compare Sample answer:
1 . .
ABOUT HALF A KILOGRAM ABOUT A QUARTER KILOGRAM
a half kilogram packet of sugar, a half kilogram packet of a quarter kilogram packet of tea, 2 or 3 onions,
daal, 4 or 5 tomatoes one big potato
Why : 2 half kilograms make 1 kilogram. 4 quarter kilograms make 1 kilogram.
Tricky balls — Page 149
Page 38 of 43
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Half kilogram and quarter kilogram things at home
Q1 Look around your house, and identify objects that are about half a kilogram and
quarter of a kilogram. Feel these things with your hand and guess what other things
are a half or quarter kilogram. List the objects that are about a quarter kilogram and a
half kilogram. Verify with the 1 kilogram salt packet.
First lift the kilogram salt packet Then lift each thing and compare Sample answer:
1 . .
ABOUT HALF A KILOGRAM ABOUT A QUARTER KILOGRAM
a half kilogram packet of sugar, a half kilogram packet of a quarter kilogram packet of tea, 2 or 3 onions,
daal, 4 or 5 tomatoes one big potato
Why : 2 half kilograms make 1 kilogram. 4 quarter kilograms make 1 kilogram.
Tricky balls — Page 149
Page 38 of 43
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ʼ
Montu s puzzle with three balls and a pan balance -
co m
e m.
Q1 omes a puzzle to his friends: 3 balls look similar in size.aOgnleaosf them is heavier
Montu.cpos
asnedm2 balls are equal in weight. You have only a pan-balance and no weights. Using the
a
agl 3 balls and the pan-balance, can you identify which is the heavy ball?
com
e m . ag
g l as
a
co m
em.
m l as
m .co a g
l a se
a g
m a s
m .co agl
l a se
Three balls thaa g
t look the same, and the pan-balance with both pans empty.
co m
m .
A NSW E R m as e
.co a g l
a s emYes, we can find the heavy ball.
agl Put one ball on each pan Keep the third ball aside . .
If one pan goes down, that ball is the heavy one.
se m
omis the heavy one. c g l a
.
If the pans stay level, the ball kept aside
e m a
Why O l he hea baagll lcaa
: nyt vy
s
n pus h a pan down.
co m
m .
m as e
.co a g l
se m
g l a
a c
m .
m a s e
em . co agl
g l as
a
co m
m .
m ase
.co
a g l Page 39 of 43
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ʼ
Montu s puzzle with three balls and a pan balance -
co m
e m.
Q1 omes a puzzle to his friends: 3 balls look similar in size.aOgnleaosf them is heavier
Montu.cpos
asnedm2 balls are equal in weight. You have only a pan-balance and no weights. Using the
a
agl 3 balls and the pan-balance, can you identify which is the heavy ball?
com
e m . ag
g l as
a
co m
em.
m l as
m .co a g
l a se
a g
m a s
m .co agl
l a se
Three balls thaa g
t look the same, and the pan-balance with both pans empty.
co m
m .
A NSW E R m as e
.co a g l
a s emYes, we can find the heavy ball.
agl Put one ball on each pan Keep the third ball aside . .
If one pan goes down, that ball is the heavy one.
se m
omis the heavy one. c g l a
.
If the pans stay level, the ball kept aside
e m a
Why O l he hea baagll lcaa
: nyt vy
s
n pus h a pan down.
co m
m .
m as e
.co a g l
se m
g l a
a c
m .
m a s e
em . co agl
g l as
a
co m
m .
m ase
.co
a g l Page 39 of 43
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Q2 a a a
( ) How m ny times will you h ve to weigh?
Three balls that look the same, and the pan-balance with both pans empty.
Only 1 time.
One weighing already tells us the answer.
We do not need a second turn.
Why Ei he
: t r on e pan goes down, or the pans stay level. Both cases point to the
heavy ball.
Page 40 of 43
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Q2 a a a
( ) How m ny times will you h ve to weigh?
Three balls that look the same, and the pan-balance with both pans empty.
Only 1 time.
One weighing already tells us the answer.
We do not need a second turn.
Why Ei he
: t r on e pan goes down, or the pans stay level. Both cases point to the
heavy ball.
Page 40 of 43
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Q3 U aa a
(b) se the b l nce only one time nd tell which is the he vy b ll. a a
Three balls that look the same, and the pan-balance with both pans empty.
Call the balls A B and C Put A and B on the two pans Keep C aside
, . . .
If A s pan goes down A is the heavy ball
ʼ , .
If B s pan goes down B is the heavy ball
ʼ , .
If the pans stay level C is the heavy ball
, .
Page 41 of 43
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Q3 U aa a
(b) se the b l nce only one time nd tell which is the he vy b ll. a a
Three balls that look the same, and the pan-balance with both pans empty.
Call the balls A B and C Put A and B on the two pans Keep C aside
, . . .
If A s pan goes down A is the heavy ball
ʼ , .
If B s pan goes down B is the heavy ball
ʼ , .
If the pans stay level C is the heavy ball
, .
Page 41 of 43
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Q4 There are three same-sized balls of different weights and colours: red, orange and
green. You can use the pan-balance for it but cannot use weights. How will you find
which one is the heaviest and which one is the lightest?
Red ball Orange ball Green ball
The red, orange and green balls, and the pan-balance with both pans empty.
Weigh two balls at a time.
Weigh the red and orange balls. Keep the heavier one.
Weigh it with the green ball. The ball whose pan goes down is the heaviest.
Weigh the other two balls. The ball whose pan goes up is the lightest.
Chapter at a glance
A bigger vessel holds more A smaller vessel holds less
. .
To compare, pour both into same-sized glasses. The higher one is more.
A small vessel can measure a big one. Pour again and again, and count.
We say how much a vessel holds in litres. 2 half litres make 1 litre. 4 quarter litres make 1
litre.
On a pan-balance the heavier thing goes down. The lighter thing goes up.
We say how heavy a thing is in kilograms. 2 half kilograms make 1 kilogram. 4 quarter
kilograms make 1 kilogram.
Page 42 of 43
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Q4 There are three same-sized balls of different weights and colours: red, orange and
green. You can use the pan-balance for it but cannot use weights. How will you find
which one is the heaviest and which one is the lightest?
Red ball Orange ball Green ball
The red, orange and green balls, and the pan-balance with both pans empty.
Weigh two balls at a time.
Weigh the red and orange balls. Keep the heavier one.
Weigh it with the green ball. The ball whose pan goes down is the heaviest.
Weigh the other two balls. The ball whose pan goes up is the lightest.
Chapter at a glance
A bigger vessel holds more A smaller vessel holds less
. .
To compare, pour both into same-sized glasses. The higher one is more.
A small vessel can measure a big one. Pour again and again, and count.
We say how much a vessel holds in litres. 2 half litres make 1 litre. 4 quarter litres make 1
litre.
On a pan-balance the heavier thing goes down. The lighter thing goes up.
We say how heavy a thing is in kilograms. 2 half kilograms make 1 kilogram. 4 quarter
kilograms make 1 kilogram.
Page 42 of 43
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Quick revision
WORD WHAT IT MEANS EXAMPLE FROM THE REMEMBER
CHAPTER
Ho s mor
ld e Takes in more water or milk Rituʼs glass holds the most Pour into same-sized glasses
milk to compare
Ho s ld le ss Takes in less water or milk Nitaʼs glass holds the least The lowest milk is the least
milk
Litre How much a vessel holds The jug is exactly 1 litre Written as 1 litre
Ha lf li tre Two of them make 1 litre 2 mu s g fill the 1 litre bottle 2 a
h lf litres 1 litre
Quarter litre Four of them make 1 litre 4 ass s
gl e fill the 1 litre bottle 4 quart r tr s 1 tr
e li e li e
H av r
e ie Goes down on a pan-balance 3 t xt oo s ar
e b k e he avier than The lower pan is heavier
a pencil box
Lighter Goes up on a pan-balance Ap n e cil box is lighter than 3 The higher pan is lighter
textbooks
Pan-balance A tool with two pans for Used to find Montuʼs heavy Level pans mean equal
comparing weight ball weight
Kilogram How heavy a thing is A1 kilogram salt packet Written as 1 kg
Ha lf kilogram Two of them make 1 Ea ch daal packet on the 2 a
h lf kil ograms 1 kilogram
kilogram b alance
Quarter Four of them make 1 Ea ch tea packet on the 4 quart r e kil ograms 1
kilogram kilogram b alance kilogram
Page 43 of 43
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Quick revision
WORD WHAT IT MEANS EXAMPLE FROM THE REMEMBER
CHAPTER
Ho s mor
ld e Takes in more water or milk Rituʼs glass holds the most Pour into same-sized glasses
milk to compare
Ho s ld le ss Takes in less water or milk Nitaʼs glass holds the least The lowest milk is the least
milk
Litre How much a vessel holds The jug is exactly 1 litre Written as 1 litre
Ha lf li tre Two of them make 1 litre 2 mu s g fill the 1 litre bottle 2 a
h lf litres 1 litre
Quarter litre Four of them make 1 litre 4 ass s
gl e fill the 1 litre bottle 4 quart r tr s 1 tr
e li e li e
H av r
e ie Goes down on a pan-balance 3 t xt oo s ar
e b k e he avier than The lower pan is heavier
a pencil box
Lighter Goes up on a pan-balance Ap n e cil box is lighter than 3 The higher pan is lighter
textbooks
Pan-balance A tool with two pans for Used to find Montuʼs heavy Level pans mean equal
comparing weight ball weight
Kilogram How heavy a thing is A1 kilogram salt packet Written as 1 kg
Ha lf kilogram Two of them make 1 Ea ch daal packet on the 2 a
h lf kil ograms 1 kilogram
kilogram b alance
Quarter Four of them make 1 Ea ch tea packet on the 4 quart r e kil ograms 1
kilogram kilogram b alance kilogram
Page 43 of 43
Document Details
| Board / Org | NCERT |
| Exam | Class 3 |
| Type | Solution |
| Pages | 44 |
| Language | english |
| Updated | 13 Oct 2026 |