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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 2 · M AT H S
NCERT Solutions + ×
Chapter 2: Shapes
Around Us
NCERT Textbook — Joyful Mathematics
BOOK PAGES SECTIONS QUESTIONS MEDIUM
16 – 22 9 29 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 25 pages
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l h h e h e d A aS m · NCERT So ut ons
C L A SS 2 · M AT H S · JOY F UL M AT HE M AT IC S
NCERT So ut ons — C apt r 2: S ap s Aroun Us
l i h e h e d
This chapter is about solid shapes around us. We count their faces, edges and corners.
T E XT B OOK B OOK PAGE S
Joyful Mathematics Class 2 16 22
S EC T I ONS QU E ST I ONS
9 29
M EDI UM
English
Let us Do — Page 17
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l h h e h e d A aS m · NCERT So ut ons
Mus a nstrum nts at t Gar a F st va
ic l i e he b e i l
A. Look at the picture and observe different musical instruments.
Q1
i. Circle ◯
the musical instruments that are similar in shape to a drum.
flute harmonium box drum maracas
dholak 2 tabla 2 drums tambourine
trumpet shehnai matka
The musical instruments in the Garba Festival picture.
C r t 2 red drums, the dholak, the 2 tabla and the tambourine
i cle he .
A rum s roun at t top an ottom Its s s ar stra t
d i d he d b . ide e igh .
Why They have the same shape as a drum a cylinder
: : .
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l h h e h e d A aS m · NCERT So ut ons
A. Look at the picture and observe different musical instruments.
Q2
ii. Tick ✓ the musical instruments that are similar in shape to a ma ka t .
flute harmonium box drum maracas
dholak 2 tabla 2 drums tambourine
trumpet shehnai matka
The musical instruments in the Garba Festival picture.
Tick the clay matka and the 2 maracas .
A matka s roun i d, almost like a ball. The maracas have round heads too.
Why They are round all over like a sphere
: , .
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l h h e h e d
a g l A aS m · NCERT So ut ons
gl e l i
co m
m.
A. Look at the picture and observe different musical instruments.
Q3
m ✓ the shape similar to the shape of a shehnai Look at theltahrseee shapes
.co
iii. Tick
ag
.
sem
below.)
a
agl
co m
m . ag
( aglase )
, ,
shehnai
co m
em.
as
A shehnai and three shapes
com g l
.
m . a
ase
agAlNSW E R
a s
com r n A on s agl
Tick the first shape, the cone.
t . ot
atm
se
As hehn ai is thin at one e dn an w like that too.
a
d ide he he e d. c e i
ag l
co?m
Q4 A. Look at the picture and observe different musical instruments.
m .
m
iv. How is the shape of harmonium different from the shape of a d rum
as e
.co a g l
se m
g l a
a
se m
com g l a
m . a
ase
agl
co m
m .
m as e
.co a g l
se m harmonium drum
g l a
a c
m .
m
A harmonium and a drum
a s e
agl
.
. co
e m
g l as
A NSW E R a
A harmonium is shaped like a box. A drum is round.
co m
m .
m as e
.co
a g l Page 4 of 25
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l h h e h e d A aS m · NCERT So ut ons
A armon um as at a s an s arp orn rs.
h i h fl f ce d h c e
A rum as roun n s an no orn rs.
d h d e d d c e
Why A harmonium is a cuboid A drum is a cylinder
: . .
Q5 B. Have you seen or played any of the musical instruments? Share your experiences
with your classmates.
flute harmonium box drum maracas
dholak 2 tabla 2 drums tambourine
trumpet shehnai matka
The musical instruments in the Garba Festival picture.
Talk with your classmates!
Sample answer: “I saw a dholak at a wedding. My uncle played it with his hands.ˮ
You can also say how it is played: drums are beaten, a flute is blown, a sitar has strings.
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l h h e h e d A aS m · NCERT So ut ons
Cross the Odd One Out — Page 17
L t us Do part C
e ,
Q1 C. Cross the odd one out.
carrot ice-cream orange paper cone
Row 1 four objects.
Cross t he orange.
T he c arrot, ice-cream and paper cone are pointed.
T hey are all cones.
T he orange is round like a ball.
Why The orange is a sphere The others are cones
: . .
Q2 C. Cross the odd one out.
sun house moon earth
Row 2 four objects.
Cross t house
he .
Page 6 of 25
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l h h e h e d A aS m · NCERT So ut ons
T sun, moon an art ar roun
he d e h e d like a ball.
T ous
he h as at a s.
e h fl f ce
It as orn rs too.
h c e
Why The house is a cuboid The others are spheres
: . .
Q3 C. Cross the odd one out.
chalk wooden box green block yellow block
Row 3 four objects.
Cross t chalk
he .
T he box and the two blocks have flat faces.
T hey have sharp corners.
T he chalk is long and round.
Why The chalk is a cylinder The others are cuboids
: . .
In-text Questions — Page 18
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l h h e h e d A aS m · NCERT So ut ons
gl e l i
Mat ch objects with solid shapes
Q1 Match the musical instruments and objects with their solid shapes. One has been done
for you.
The objects on the left.)
drum dandiya
harmonium dice
bell cone cup
box drum laddoo
matka box
shehnai party horn
Objects on the left and right. Solid shapes in the middle. One is done.
Drum → cylinder
Harmon um → cuboid
i
B → cone
ell
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l h h e h e d
a g l A aS m · NCERT So ut ons
gl e l i
Box rum → cube
co m
m.
d
Matka → sphere
ma as e
Draw a n
.co a g l
ape it looks like. The shehnai is already done: it goes to
m
li e from e ch object to the sh
l a
the cone.
se
a g
com
e m . ag
g l as
a
co m
e m.
m l as
m .co a g
l a se
a g
m a s
m .co agl
l a se
a g
co m
m .
m as e
.co a g l
se m
g l a
a
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 9 of 25
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l h h e h e d A aS m · NCERT So ut ons
gl e l i
Q2 Match the musical instruments and objects with their solid shapes. One has been done
for you.
The objects on the right.)
drum dandiya
harmonium dice
bell cone cup
box drum laddoo
matka box
shehnai party horn
Objects on the left and right. Solid shapes in the middle. One is done.
Dan ya → cylinder
di
D → cube
ice
Con up → cone
e c
Laddoo → sphere
Box → cuboid
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l h h e h e d A aS m · NCERT So ut ons
Draw a n li e from e ach object to the shape it looks like. The party horn is already done: it goes
to the cone.
In-text Questions — Page 20
H na an At
ee d if decorate a gift box
Q1 Ah! Can we put these balls on the corners?
★
★
★
The gift box with stars and ribbons.
Yes! We need 8 balls, one on each corner.
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l h h e h e d A aS m · NCERT So ut ons
2 3
1 ★ 4
★
8
★ 7
5 6
4 corners on top and at the bottom One hides at the back
4 . .
4 corners on top 4 at the bottom
4 4 8
A out t
b he b oo k: “12 ribbons for each sideˮ means 12 ribbons in all, one for each
edge.
Let us Do — Page 20
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l h h e h e d A aS m · NCERT So ut ons
Stars on a s r
f ce , ibb ons on edges, balls on corners
Q1 If you also have to decorate the following shapes in the same way with stars, ribbon
stripes and pompom balls, how many of these items will you need?
OBJECT NUMBER OF NUMBER OF RIBBON NUMBER OF
STARS FOR THE STRIPES FOR THE POMPOM BALLS FOR
FACES EDGES/SIDES THE CORNERS
6 stars, 12 r ibbon str ipes, 8 pompom a s b ll
OBJECT NUMBER OF NUMBER OF RIBBON NUMBER OF POMPOM
STARS FOR THE STRIPES FOR THE BALLS FOR THE
FACES EDGES/SIDES CORNERS
6 12 8
6 a s: top, ottom, ront, a , 2 s s.
f ce b f b ck ide
12 s: 4 on top, 4
edge ow, 4 stan n .bel di g
8 orn rs: 4 on top, 4 ow.
c e bel
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l h h e h e d
a g l A aS m · NCERT So ut ons
gl e l i
If you also have to decorate the following shapes in the same way with sta.rsco, rm
stripes and pompom balls, how many of these items will you need? sem
Q2 ibbon
m a
m . co agl
l a seOBJECT NUMBER OF NUMBER OF RIBBON NUMBER OF
ag STARS FOR THE STRIPES FOR THE POMPOM BALLS FOR
FACES EDGES/SIDES THE CORNERS
co m
em . ag
g l as
a
co m
e m.
m as
2 stars 1.rco on str p 1 pompom a a g l
s em
, ibb i e, b ll
a
aglOBJECT NUMBER OF NUMBER OF RIBBON NUMBER OF POMPOM
STARS FOR THE STRIPES FOR THE BALLS FOR THE
EDGES/oSm a s
.c agl
FACES IDES CORNERS
s1 e m
g l a
a
2 1
co m
m .
2 a s: 1 at, roun top an 1 urv
as e
1 .com
ace.
l
f ce fl d d c ed f
a g
sem
: t
edge roun r m at t
he top. d i he
a
agl
1 orn r: t
c e po nt t p.
he i ed i
se m
If you also have to decorate the.cfoollm g l a
Q3
stripes and pompom ballssheow
owing shapes in the same way with stars ribbon
m many of these items will you need
,
a
a
agl
, ?
OBJECT NUMBER OF NUMBER OF RIBBON NUMBER OF
STARS FOR THE STRIPES FOR THE
o m BALLS FOR
POMPOM
c
FACES EDGES/SIDES
em.THE CORNERS
m l as
m .co a g
l a se
ag
.c
s e m
m a
m . co agl
l a se
6 stars, 12 r ibb s g8 pompom a s
on str p a i e , b ll
co m
m .
m ase
.co
a g l Page 14 of 25
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l h h e h e d A aS m · NCERT So ut ons
OBJECT NUMBER OF NUMBER OF RIBBON NUMBER OF POMPOM
STARS FOR THE STRIPES FOR THE BALLS FOR THE
FACES EDGES/SIDES CORNERS
6 12 8
T ox s on ,
he b t
i l g like he gift box.
Count a s: 6. Count
f ce edges: 12.
Count orn rs: 8.
c e
Why Every box shape has faces
: 6 , 12 edges and 8 corners.
Let us Think — Page 21
Fa s,ce edge s and corners of objects
Q1 Look at the objects and fill the table.
OBJECT I LOOK LIKE A FACES EDGES CORNERS
Cube
Fa ces 6, E dges 12, Corn rs 8 e
OBJECT I LOOK LIKE A FACES EDGES CORNERS
Cube 6 12 8
6 a s: top, ottom, ront, a , 2 s s.
f ce b f b ck ide
12 s: 4 on top, 4
edge ow, 4 stan n . bel di g
8 orn rs: 4 on top, 4 ow.
c e bel
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l h h e h e d A aS m · NCERT So ut ons
Why A dice is a cube
: .
Q2 Look at the objects and fill the table.
OBJECT I LOOK LIKE A FACES EDGES CORNERS
Cuboid
Faces 6, E dges 12, Corn rs 8
e
OBJECT I LOOK LIKE A FACES EDGES CORNERS
Cuboid 6 12 8
6 a s: top, ottom, ront, a , 2 s s.
f ce b f b ck ide
12 s: 4 on top, 4
edge ow, 4 stan n .
bel di g
8 orn rs: 4 on top, 4 ow.
c e bel
Why The yellow block is a cuboid
: .
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l h h e h e d A aS m · NCERT So ut ons
Q3 Look at the objects and fill the table.
OBJECT I LOOK LIKE A FACES EDGES CORNERS
Cone
Faces 2, E dges 1, Corn rs 1
e
OBJECT I LOOK LIKE A FACES EDGES CORNERS
Cone 2 1 1
2 a s: 1 at, roun a an 1 urv
f ce fl d f ce d c ace.
ed f
1 : w
edge r t two a sm
he et. he f ce ee
1 orn r: t po nt t p.
c e he i ed i
Why A carrot is like a cone
: .
Q4 Look at the objects and fill the table.
OBJECT I LOOK LIKE A FACES EDGES CORNERS
Cylinder
Faces 3, E dges 2, Corn rs 0
e
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l h h e h e d A aS m · NCERT So ut ons
OBJECT I LOOK LIKE A FACES EDGES CORNERS
Cylinder 3 2 0
3 a s: 2 at n s an 1 urv
f ce fl e d d c ace.
ed f
2 s: 1 at a
edge n . e ch e d
0 orn rs: not n s po nt .
c e hi g i i ed
Why A chalk is a cylinder A cylinder has no corners
: . .
Q5 Look at the objects and fill the table.
OBJECT I LOOK LIKE A FACES EDGES CORNERS
Sphere
Faces 1, E dges 0, Corn rs 0 e
OBJECT I LOOK LIKE A FACES EDGES CORNERS
Sphere 1 0 0
Fa s: 1 urv a
ce c ed f ce, all around.
E s: non .
dge e
Corn rs: non .
e e
Why A ball is round everywhere So it rolls in every direction
: . .
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gl e l i
co m
m.
Q6 Look at the objects and fill the table.
a se
coTm
OBJ.EC EDGESag l
sem
I LOOK LIKE A FACES CORNERS
a
agl Cuboid
co m
e m . ag
g l as
a
co m
em.
as
Fa 6, E 12, Corn rs 8
m
ces dges
.co l
e
a g
mT
OBJeEC
s I LOOK LIKE A FACES EDGES CORNERS
a gla Cuboid 6 12 8
m a s
m .co agl
l a se
a g
6 a s: top, ottom, ront, a , 2 s s.
co m
.
f ce b f b ck ide
12 ow, 4 stan n .
e m
as
s: 4 on top, 4
edge bel di g
8 ornmrs: 4 on top, 4 ow. l
.co a g
c e bel
a s em
agl Why A crayon box is a cuboid
: .
se m
com g l a
m . a
ase
Look at the objects and fill the table.
agl
Q7
OBJECT I LOOK LIKE A FACES EDGES CORNERS
co m
Cone
m .
m as e
.co a g l
se m
g l a
a c
m .
m a s e
e m . co agl
1, Corn rs 1las
ag
Fa ces 2, E dges e
co m
m .
m as e
.co
a g l Page 19 of 25
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l h h e h e d A aS m · NCERT So ut ons
OBJECT I LOOK LIKE A FACES EDGES CORNERS
Cone 2 1 1
2 a s: 1 at, roun a an 1 urv
f ce fl d f ce d c ed f ace.
1 : w
edge r t two a sm t.
he e he f ce ee
1 orn r: t po nt t p.
c e he i ed i
Why An ice cream cone is a cone
: - .
Q8 Look at the objects and fill the table.
OBJECT I LOOK LIKE A FACES EDGES CORNERS
Cylinder
Faces 3, E dges 2, Corn rs 0 e
OBJECT I LOOK LIKE A FACES EDGES CORNERS
Cylinder 3 2 0
3 a s: 2 at n s an 1 urv
f ce fl e d d c ed f ace.
2 s: 1 at a
edge n . e ch e d
0 orn rs: not n s po nt .
c e hi g i i ed
Why A bottle is a cylinder
: .
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l h h e h e d A aS m · NCERT So ut ons
Let us Play — Page 22
Tou an T W o am I
ch d ell. h ?
Q1 Touch and Tell. Who am I?
Collect different objects with variation in faces, corners and edges. Blindfold the child
and ask them to pick an object as per the details given by other children. For example,
a child may be asked to take out an object with one corner. Similarly, continue with
other objects.
Play it with friends!
Put a a , a ox, a a an a on n a a .
b ll b ch lk d c e i b g
T a ot ov r on r n ʼs y s.
ie cl h e e f ie d e e
Say, “P a t n w t on orn r.ˮ T r n
ick hi g i h e c e he f ie d feels and picks.
Let us Do — Page 22
Nam t e he objects
Q1 Name the objects which have —
No Corners
A. ______
B. ______
C. ______
A. Ba B. La
ll ddoo C. Oran ge
Loo or t n s t at ar roun a ov r.
k f hi g h e d ll e
Run your n r ov r t m. fi ge e he
Not n s po nt .
hi g i i ed
Why A sphere has no corners
: .
Tip: A bottle and a chalk have no corners too.
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l h h e h e d A aS m · NCERT So ut ons
Q2 Name the objects which have —
One Corner
A. ______
B. ______
C. ______
A. Carrot B. I ce-cre am cone C. Birthday cap
Loo or t n s w t on po nt t p.
k f hi g i h e i ed i
T y ar w at t ot r n .
he e ide he he e d
Why A cone has only one corner at its tip
: , .
Q3 Name the objects which have —
Three Corners
A. ______
B. ______
C. ______
A. A tr ani gle fl ag B. A slice of pizza C. A triangle cut from paper
These are triangle shapes. Count the pointed parts: 1, 2, 3.
Tip: You can also make a 3-corner shape from clay.
Q4 Name the objects which have —
_______ Corners
A. ______
B. ______
C. ______
8 Corn rs: A. D
e ice B. C a h lk box C. Br ick
Wr t a num r n t
i e an . W beos 8. i he bl k e ch e
Box s ap s av 4 orn rs on top an 4 at t
h e h e c e d he bottom.
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l h h e h e d A aS m · NCERT So ut ons
Tip: You may choose another number.
Project Work — Page 22
Ma ke shapes from a cardboard sheet
Q1 Take a cardboard sheet and try to make an object with four faces.
Make a little tent with 4 triangle faces.
Cut the big triangle Fold up on the dashed lines
. .
Cut a tr an
big rom t
i ar oar .
gle f he c db d
Draw n s to ma 4 sma tr an s.
li e ke ll i gle
Fo up t 3 out r tr an s. Tap t r t ps to
ld he e i gle e hei i gether.
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a g l A aS m · NCERT So ut ons
gl e l i
Why Each small triangle is one face co m
m.
:
e
.
m l as
.co a g
a s em
aQ2gl Now try to make an object with one face
, .
co m
. ag
se m
A ball shape has only one face.
g l a
F at ar oar annot n ntoa a a
l c db d c be d i b ll.
m
So ro ay into a ball, or crumple paper.
co
ll cl
Why A obmall has one curved face It has no edges or corners lase m.
.c ag
: . .
asem
agl
m a s
m .co agl
se
Chapter at a glance
l
T n s aroun us av s ap gs ua
hi g
a d h e h e : c be, cuboid, cylinder, cone and sphere.
A rum s a y n r A s na s de . a cone.
m
d i c li heh i i like
co
A a s a at or urv sur a
.
f ce i fl c ed f ce.
em
as
An r two a
omr s a po nt part
sw sm t
l
edge i he e f ce ee .
A corn
. a g
semA ox as a s
c e i i ed .
gla
b h s an 6 f ce , 12 edge d 8 corners.
a
se m
com g l a
m . a
ase
agl
com
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 25
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l h h e h e d A aS m · NCERT So ut ons
gl e l i
Quick revision
SHAPE LOOKS LIKE FACES, EDGES, CORNERS PAGE
Cube dice, box drum 6 faces, 12 edges, 8 corners 18, 21
Cuboid harmonium, box, crayon box 6 faces, 12 edges, 8 corners 18, 21
Cylinder drum, chalk, bottle 3 faces, 2 edges, 0 corners 18, 21
Cone shehnai, carrot, ice-cream cone 2 faces, 1 edge, 1 corner 18, 21
Sphere ball, laddoo, orange 1 face, 0 edges, 0 corners 18, 21
Face where the star goes a box has 6 19
Edge where the ribbon goes a box has 12 19
Corner where the pompom ball goes a box has 8 20
Page 25 of 25