NCERT Solutions Class 3 Maths Chapter 6 House of Hundreds I

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 6: House of
Hundreds - I

NCERT Textbook — Maths Mela

BOOK PAGES SECTIONS QUESTIONS MEDIUM

64 – 81 21 66 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 67 pages

l h h e e f d ed sI 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 6: Hous o Hun r s - I
l i h e e f d ed

This chapter takes us to a mela where everything comes in hundreds. We learn to count past two hundred, to
build a three-digit number from hundreds, tens and ones, to place it on a number line, and to tell which of
two numbers is bigger.

T E XT B OOK B OOK PAGE S
Ma h Mela Cla
t s ss 3 64  81

S EC T I ONS QU E ST I ONS
21 66

M EDI UM
English

n-text Questions — Page 64
I

The triangular toran at the mela

Q1 How many tr an s ar t r n a n o tr an u ar toran?
i gle e he e i li e f i g l

4 n s
li e

1 n li e

10 10 10 10 10

The triangular toran at the mela. Each bunch under the last line holds ten triangles.

One line of the toran has 50 triangles .

One line = 10 + 10 + 10 + 10 + 10

= 50 triangles

Page 1 of 67

l h h e e f d edsI A aS m · NCERT So ut ons
gl e l i

Why Count n n t ns s qu
: i g i e i icke r than counting one by one, and we make fewer
mistakes.

Q2 Try counting all the triangles.

4 n s
li e

1 n li e

10 10 10 10 10

The triangular toran at the mela. Each bunch under the last line holds ten triangles.

There are 250 triangles in all .

 Each line has triangles 50 .

 Two lines make 50  50  100.

 Four lines make 100  100  200.

 One line is left 250
: 200  50  .

Tip: 200 s two un r
i h d ed. 250 i s 50 more than two hundred.

n-text Questions — Page 65
I

Page 2 of 67

l h h e e f d edsI A aS m · NCERT So ut ons
gl e l i

Bangles, toffees and the toran

Q1 Gu ss ow many an s t r ar . Try ount n t tota num r o
e h b gle he e e c i g he l be f b angles.

Bangles hanging on seven rods. Each rod carries four bunches.

There are 280 bangles .

 Each bunch has bangles 10 .

 One rod holds bunches so one rod has
4 , 40 bangles.
 Count the bunches in tens: 10, 20, 30 … 100, 110 … 200, 210 … 270, 280.

Why : 28 b unches of ten make 280.

Page 3 of 67

as e
l h h e e f d edsI
a g l A aS m · NCERT So ut ons
gl e l i

co m
m.
Q2 Gu ss ow many to s there are in the boxes. Count and check.
e
e h ffee

m l as
m .co a g
l a se
a g

co m
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
agl
Three jars of toffees. Each row inside a jar holds ten toffees.

m .co
l a se
A NSW E R a g
There are 298 toffees in the three jars
co m
.
.

e m
m l as
m .co
Jar 1 = 100
a g
a s eJar
gl
2 = 100
a Jar 3 = 98
se m
com g l a
100 + 100 + 98 = 298
m . a
lase
tegn toffees. Two jars are full, the third is two short.
Each row inside a jar holds a

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 4 of 67

l h h e e f d edsI A aS m · NCERT So ut ons
gl e l i

Q3 Jojo has 2 toffees in his hand. How many toffees are there altogether?

Three jars of toffees. Each row inside a jar holds ten toffees.

Altogether there are 300 toffees.

298 + 1 = 299

299 + 1 = 300

Why : 298 was two short of three hundred. Jojoʼs two toffees fill the gap.

Page 5 of 67

l h h e e f d ed sI A aS m · NCERT So ut ons
gl e l i

Q4 How many mor tr an s to ma e i gle ke 300?

4 n s
li e

1 n li e

10 10 10 10 10

The triangular toran at the mela. Each bunch under the last line holds ten triangles.

We need 50 more triangles .

250 + 50 = 300

That is one more line of toran because one line has , 50 triangles.

Page 6 of 67

l h h e e f d edsI A aS m · NCERT So ut ons
gl e l i

Q5 How many an s ss t an 300?
b gle le h

Bangles hanging on seven rods. Each rod carries four bunches.

The bangles are 20 less than 300.

280 + 20 = 300

So 300 – 280 = 20

Two more bunches of ten would make three hundred .

Page 7 of 67

l h h e e f d edsI A aS m · NCERT So ut ons
gl e l i

Q6 Which is more: bangles or triangles?

Bangles hanging on seven rods. Each rod carries four bunches.

4 n s
li e

1 n li e

10 10 10 10 10

The triangular toran at the mela. Each bunch under the last line holds ten triangles.

The bangles are more .

Page 8 of 67

as e
l h h e e f d edsI
a g l A aS m · NCERT So ut ons
gl e l i

co m
em.
Bangles = 280
m l as
Triangles = 250
m .co a g
l a se
g
280 is more than 250
a
Why Bot num rs av undreds. Buto8mtens are more than 5 tens.
m . c ag
: h be h e 2 h

a s e
agl
Let us o — Page 66 m
co
D

Counting on and counting in tens
e m.
m l as
.co a g
Q1sem path inside the mela. Fill in the empty tiles with numbers.
gla
Jo o s ump n on a t
j i j i g iled

a
m a s
211 212
m .co 216 agl
l a se
a g
The tiled path Jojo is jumping on.

co m
m .
as e
Rm
A NSW.cE o a g l
emtiles go 211, 212, 213, 214, 215, 216, 217, 218, 219, 220
aTshe
agl Each next tile is one more than the tile before it
.

se m
.

com g l a
m . a
211 212 213agl 214
ase 215 216 217 218 219 220

co m
m .
e
The tiled path with every tile filled in.
m l as
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 9 of 67

l h h e e f d ed sI A aS m · NCERT So ut ons
gl e l i

Q2 F nt
ill i anks with the correct numbers. (a)
he bl

294 295

302 310

Two rows of mangoes, most of them blank.

The mangoes are numbered from 291 to 310 .

First row: 291, 292, 293, 294, 295, 296, 297, 298, 299, 300

Second row: 301, 302, 303, 304, 305, 306, 307, 308, 309, 310

Count on by one each time.

291 292 293 294 295 296 297 298 299 300

301 302 303 304 305 306 307 308 309 310

The two rows with every mango filled in.

Q3 F nt
ill i he bl anks with the correct numbers. (b)

227 230 234

The row of pink arrows Teji is jumping along.

The arrows are 225, 226, 227, 228, 229, 230, 231, 232, 233, 234 .

Page 10 of 67

l h h e e f d edsI A aS m · NCERT So ut ons
gl e l i

227 and 230 are given From . 227 count on: 228, 229, 230. That fits.

Why Mov n on arrow to t
: i g e he right adds one every time.

225 226 227 228 229 230 231 232 233 234

The row of pink arrows Teji is jumping along.

Q4 F nt
ill i he bl anks with the correct numbers. (c)

382 387 390

The row of green arrows from the mouse to the cat.

The arrows are 381, 382, 383, 384, 385, 386, 387, 388, 389, 390 .

382 is the second arrow and is the seventh so each step is one more
387 , .

381 382 383 384 385 386 387 388 389 390

The row of green arrows from the mouse to the cat.

Page 11 of 67

l h h e e f d edsI A aS m · NCERT So ut ons
gl e l i

Q5 Ants av oun oo on t
h e f d f d he g round. Guess how many ants there are. Count and
check .

Ants marching to the food in a long winding line.

There are 127 ants .

12 rings of ten = 120
120 + 7 = 127

The same ants, now ringed in groups of ten.

− Exp anat on
l i

 Do not count one by one — you will lose your place.
 Ring the ants in groups of ten with a pencil.
 Count the rings: 10, 20, 30 … 120. Then count on the 7 left over: 121 … 127.

Page 12 of 67

l h h e e f d edsI A aS m · NCERT So ut ons
gl e l i

Tip: Your r n may ount 126 or 128. T at s w y w
f ie d c h i h e g roup in tens — groups
are easier to keep track of.

Let us o — Page 67
D

Matchstick bundles and number sentences

Q1 F nt
ill i he blanks appropriately.

MATCHSTICKS NUMBER NUMBER SENTENCE

235 200 and 35 more 200  35
15 less than 250 250  15

…… ……

…… ……

…… 300 and 16 more

109 ……

Count the big bundles as hundreds, the small bundles as tens and the loose sticks as ones.

Page 13 of 67

as e
l h h e e f d ed sI
a g l A aS m · NCERT So ut ons
gl e l i

co m
m.
MATCHSTICKS NUMBER NUMBER SENTENCE

m as e
.co
235
a
200 and 35 more 200  35
g l
se m 15 less than 250 250  15

g l a
a 300 200 and 100 more (200 + 100)

co m
em . ag
228
g l as 200 and 28 more (200 + 28)

a

co m
316 300 and 16 more

e m.
m l as
.co a g
109 100 and 9 more (100 + 9)

se m
g l a
a
Why A undle is ten small bundles tm a s
o agl
ied together, so it is 100. Ten loose sticks

c
m.
: big b

make one small bundle.
as e
a g l

co m
.
Q2 Place the numbers given above on the number line.
e m
m l as
m.co a g
se
235

g l a
a
0 50 100 150 200 250 300 350
se m
com g l a
The numbem .ne from 0 to 350. 235 is already marked. a
ase
r li

agl
co m
m .
Each jump on this line is 50.
m as e
.co is just after a g l
m
ase
109 100.

agl
228 and 235 are between 200 and 250.

sits exactly on a mark
.c
e m
300 .

is just after
m a s
co agl
316 300.

m .
as e
a g l

com
m .
m as e
.co

a g l Page 14 of 67

l h h e e f d edsI A aS m · NCERT So ut ons
gl e l i

109 228 235 300 316

0 50 100 150 200 250 300 350

Every number of the table shown on the number line.

Let us o — Page 68
D

Reading matchstick numbers and the number slider

Q1 Look at the pictures and write the corresponding numbers.

Six sets of matchstick bundles. The box beside each set is empty.

Count hundreds first, then tens, then ones.

Page 15 of 67

l h h e e f d edsI A aS m · NCERT So ut ons
gl e l i

PICTURE HUNDREDS, TENS, ONES NUMBER

Top left 2H1T2O 212

Top right 2H1T1O 211

Middle left 3H0T1O 301

Middle right 3H1T0O 310

Bottom left 2H3T7O 237

Bottom right 2H4T6O 246

212 211

301 310

237 246

The same six sets with the number written in each box.

Tip: W n t r ar no t ns w wr t 0 n t
he he e e e e i e i he tens place, as in 301.

Page 16 of 67

l h h e e f d ed sI A aS m · NCERT So ut ons
gl e l i

Q2 Make the number slider as shown in the picture. Increase or decrease the number as
given below:
(a) 285—increase the number by one
(b) 147—increase the number by ten
(c) 367—decrease the number by 2
(d) 289—decrease the number by 10
(e) 290—increase the number by 20

0 0 0
1 1 1
2 2 2
3 3 3
4 4 4
5 5 5
6 6 6
7 7 7
8 8 8
9 9 9

A number slider. Each strip can be moved to show one digit.

Page 17 of 67

l h h e e f d edsI A aS m · NCERT So ut ons
gl e l i

NUMBER WHAT TO DO NEW NUMBER

285 1 more 286

147 10 more 157

367 2 less 365

289 10 less 279

290 20 more 310

− Exp anat on
l i

Why A : ng ones moves only the last strip. Adding tens moves the middle
ddi

strip. 290  20 needs two more tens, but 9 tens and 2 tens make 11 tens. Ten of
them make a hundred, so 290  20  310.

Let us Play — Page 69
Flag game

Q1 Why does the flag point to the right?

200 201 202 203 204 205 206 207 208 209 210

Jojoʼs first guess, 205, with the flag beside it.

Because the hidden number is more than the guess.
Jojo guessed 205. The flag at 205 points to the right. So the number is bigger than 205.

Tip: On a num r n , be li e bigge r numbers lie to the right.

Page 18 of 67

as e
l h h e e f d edsI
a g l A aS m · NCERT So ut ons
gl e l i

co m
m.
Q2 Why does the flag point to the left?

m as e
.co a g l
se m
g l a
a

com
. ag
200 201 202 203 204 205 206 207 208 209 210
m
asoned guess, 208, with both flags.
agl
The sec

co m
m.
Because the m as e
.co
hidden number is less than the guess.
a g l
mn guessed The flag at points to the left So the number is smaller than
Jojostehe
a
agNlow we know the number is more than and less than
208. 208 . 208.

205 208.

m a s
m.co agl
Q3
l a se
Now, try and play with your friends, and guess the number.
a g

co m
m .
m ase
.co a g l
a s em 200 201 202 203 204 205 206 207 208 209 210

ag l All three flags after the guesses 205, 208 and 206.

se m
com g l a
m . a
gl ase
Sample answer: In the booa
kʼs game the hidden number is 207.
 205 is wrong, flag points right: more than 205.
co m
m .
 208 is wrong, flag points left: less than 208.
as e
. comis wrong, flag points right: more than 206.
 206
a g l
as em Only 207 is left.
agl c
m .
m a s e
em . co agl
g l as
a

co m
m .
m as e
.co

a g l Page 19 of 67

l h h e e f d edsI A aS m · NCERT So ut ons
gl e l i

− Exp anat on
l i

Try This: P ay w t a r n . T n o a num r
l i h f ie d tween 300 and 310 and let
hi k f be be

your friend guess. After each wrong guess, put a flag on it: point it right if your
number is bigger, left if it is smaller.

Magical ount — Page 70
C

Counting the letters in a number name

Q1 Write down any number name. Count the number of letters in that number name and
write the name of that new number down. Keep repeating—what happens?

Two hundred and thirty five 23 letters

Twenty-three 11 letters

Eleven 6 letters

Six 3 letters

Three 5 letters

Five 4 letters

Four 4 letters

The Magical Count box the book has already done, starting from 235.

Sample answer: Start with 150.

Page 20 of 67

l h h e e f d edsI A aS m · NCERT So ut ons
gl e l i

One hundred and fifty → 18 letters

Eighteen → 8 letters

Eight → 5 letters

Five → 4 letters

Four → 4 letters

What happens: the chain reaches FOUR and then stays at FOUR.

− Exp anat on
l i

The book s chain from
ʼ 235 goes 23, 11, 6, 3, 5, 4 letters and also stops at FOUR.

Why T :word FOUR has exactly four letters, so the chain keeps giving FOUR
he

again and again.

Page 21 of 67

l h h e e f d ed sI A aS m · NCERT So ut ons
gl e l i

Q2 Magical Count — complete the box that starts with 187, “One hundred and eighty
sevenˮ.

One hundred and eighty seven

The Magical Count box for 187. Only the first line is written.

One hundred and eighty seven → 24 letters

Twenty-four → 10 letters

Ten → 3 letters

Three → 5 letters

Five → 4 letters

Four → 4 letters

This chain also ends at FOUR .

Page 22 of 67

l h h e e f d ed sI A aS m · NCERT So ut ons
gl e l i

One hundred and eighty seven 24 letters

Twenty-four 10 letters

Ten 3 letters

Three 5 letters

Five 4 letters

Four 4 letters

The Magical Count chain for 187.

Page 23 of 67

as e
l h h e e f d ed sI
a g l A aS m · NCERT So ut ons
gl e l i

co m
m.
Q3 Magical Count — complete the box that starts with 204, “Two hundred and fourˮ.

m as e
.co a g l
se m
g l a
a Two hundred and four

co m
e m . ag
g l as
a

co m
se m.
m l a
.co li egi
a ie
sem
The Magical Count box for 204. Only the first n s wr tt n.

a
agl
m a s
m .co agl
l a se
ag
Two hundred and four → 17 letters

Seventeen → 9 letters

co m
Nine → 4 letters
m .
m as e
.co
Four → 4 letters
a g l
a s em
agl Again the chain ends at FOUR .

se m
com g l a
m . a
e
ahsundred and four
Two
a g l 17 letters

Seventeen
com
9 letters

m .
m Nine ase
.co agl
4 letters

se m Four
g l a 4 letters
a c
m .
a s e
omgical Count chain for 204.
.cMa agl
m
The

l a se
ag

co m
m .
m as e
.co

a g l Page 24 of 67

l h h e e f d edsI A aS m · NCERT So ut ons
gl e l i

Q4 Will it always end with FOUR?

Two hundred and thirty five 23 letters

Twenty-three 11 letters

Eleven 6 letters

Six 3 letters

Three 5 letters

Five 4 letters

Four 4 letters

The Magical Count box the book has already done, starting from 235.

Yes, in English it always ends with FOUR.
Start from any number name Keep counting letters Sooner or later you reach FOUR
. . .

Why On y t
: word FOUR has as many letters as the number it names. So the chain
l he

cannot move away from it.

Numbers on a line — Page 70

Page 25 of 67

l h h e e f d edsI A aS m · NCERT So ut ons
gl e l i

The next hundred number

Q1 Tell Teji, Jojo and Bholu what will be the next hundred number. Write it on the number
ne below.
li

0 100 200 300

Hundreds on a number line. The last box is empty.

The next hundred number is 400 four hundred , .

100, 200, 300, 400

Each jump on this line is one hundred more.

400

0 100 200 300 400

The next hundred number written in.

Page 26 of 67

l h h e e f d edsI A aS m · NCERT So ut ons
gl e l i

Q2 Can you s ow t num r us n mat st s?
h he be i g ch ick

0 100 200 300

Hundreds on a number line. The last box is empty.

Yes Take 4 bundles of a hundred matchsticks
. .

400 = 4 H + 0 T + 0 O

= 100 + 100 + 100 + 100

No small bundles and no loose sticks so tens and ones are
, 0.

Four hundred shown with four bundles of a hundred matchsticks.

Let us o — Page 71
D

Page 27 of 67

l h h e e f d ed sI A aS m · NCERT So ut ons
gl e l i

Numbers on the number line

Q1 Locate 216, 243, 257 on the number line below.

200 210 220 230 240 250 260

A number line from 200 to 260. Each jump is 10.

Each jump on this line is 10.
216 — start at 210 and count on 6 small steps.
243 — start at 240 and count on 3 small steps.

257 — start at 250 and count on 7 small steps.

216 243 257

200 210 220 230 240 250 260

216, 243 and 257 shown on the number line.

Q2 Locate 329, 332, 337, 375 and 387 on the number line below.

320 330 370

A number line from 320. Five boxes are empty.

First fill the empty boxes: 340, 350, 360, 380, 390.
329 lies just before 330.

Page 28 of 67

ase
l h h e e f d ed sI
a g l A aS m · NCERT So ut ons
gl e l i

and 337 lie between and
co m
m.
332 330 340.

e
375 lies between and
387 lies betwm as
370 380.

o een and
. c a g l
m
380 390.

a s e
agl 329 332 337 375 387

. c om ag
320 330 340
a s em
350 360 370 380 390
gl
The boxaes filled and all five numbers shown.

co m
e m.
m l as
Q3 T .coow ar s 387 rom 400 ................. a g
s em
ell h f i f

gl a
a 387

m a s
em
.co agl
a s
gl
370 380 387 390 400
a
A number line from 370 to 400 with a jump drawn on it.

co m
m .
as e
Rm
A NSWcE o g l
m . a
e
aglas is
387 away from
13 400.

se m
387 + 3 = 390
com g l a
m . a
ase
390 + 10 = 400

3 + 10 = 13 agl

co m
Jump in small steps to the next ten then take one big jump of ten
m .
e
, .

m l as
.co a g
a s em 387 3 10

agl
.c
s e m
m a
.co agl
370 380 387 390 400

se m
l a
From 387 to 390 is 3 steps; from 390 to 400 is 10 steps.
g
a

co m
m .
m as e
.co

a g l Page 29 of 67

l h h e e f d edsI A aS m · NCERT So ut ons
gl e l i

Q4 Which is more: 393 or 400? Use a number line and show. Fill the numbers on the
number line below and show by jumping how far 393 is from 400.

391 392

A number line that starts at 391. Eight boxes are empty.

400 is more than 393.
The empty boxes are 393, 394, 395, 396, 397, 398, 399, 400 .

393 to 400 = 7 jumps of 1

Why : 400 i s to the right of 393.

393 400

391 392 393 394 395 396 397 398 399 400

Every box filled. 393 and 400 are marked.

Let us o — Page 72
D

Page 30 of 67

l h h e e f d edsI A aS m · NCERT So ut ons
gl e l i

Farooq chachaʼs sweet shop

Q1 How many p iece s of mysore pak are in one tray? .................

Laddoos Dhoklas Mysore pak

100 100 100
100 100 100
100 100 100
100 100 100

Farooq chachaʼs counter. Each open tray has ten rows of ten places; the packed trays below
are marked 100.

A full tray holds 100 pieces. The open tray on top has 45 pieces.

4 lines of 10 = 40

1 line of 5 = 5

40 + 5 = 45

Page 31 of 67

l h h e e f d edsI A aS m · NCERT So ut ons
gl e l i

Q2 How many p ieces of mysore pak are there in total? .................

Laddoos Dhoklas Mysore pak

100 100 100
100 100 100
100 100 100
100 100 100

Farooq chachaʼs counter. Each open tray has ten rows of ten places; the packed trays below
are marked 100.

In all there are 445 pieces of mysore pak.

4 packed trays = 100 + 100 + 100 + 100 = 400

Open tray = 45

400 + 45 = 445

Page 32 of 67

l h h e e f d edsI A aS m · NCERT So ut ons
gl e l i

Q3 How many a oos o s
l dd d e acha have in the trays? .................
ch

Laddoos Dhoklas Mysore pak

100 100 100
100 100 100
100 100 100
100 100 100

Farooq chachaʼs counter. Each open tray has ten rows of ten places; the packed trays below
are marked 100.

Chacha has 469 laddoos.

4 full trays = 400

Open tray = 69

400 + 69 = 469

The open tray has 10 lines of 7 laddoos, but the last line has only 6. So it has 70  1  69.

Page 33 of 67

as e
l h h e e f d edsI
a g l A aS m · NCERT So ut ons
gl e l i

co m
m.
Q4 How many dhoklas o s acha have? .................
e
d e ch

m l as
m .co a g
l a se Laddoos Dhoklas Mysore pak
a g

co m
e m . ag
g l as
a
100 100 100
100 100 100

m
100 100 100

co
m.
100 100 100

m as e
.co a g l
Farooq chachaʼs counter. Each open tray has ten rows of ten places; the packed trays below

se m are marked 100.
g l a
a
m a s
.co agl
Chacha has 470 dhoklas.
se m
g l a
a
4 packed trays = 400
co m
m .
e
Open tray = 70
m l as
.co
400 + 70 = 470
m a g
l a se
ag The dhokla tray is filled just like the laddoo tray
m
.

a se
. com ag l
m
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 34 of 67

l h h e e f d edsI A aS m · NCERT So ut ons
gl e l i

Q5 C a
h a is going to fill the tray with more laddoos. How many more laddoos will make
ch

the tray full? .................

Laddoos Dhoklas Mysore pak

100 100 100
100 100 100
100 100 100
100 100 100

Farooq chachaʼs counter. Each open tray has ten rows of ten places; the packed trays below
are marked 100.

31 more laddoos will fill the tray.

A full tray = 100

69 + 1 = 70

70 + 30 = 100

1 + 30 = 31

One place in the laddoo tray is empty and , 3 more lines of ten are empty.

Page 35 of 67

l h h e e f d edsI A aS m · NCERT So ut ons
gl e l i

Q6 How many tota a oos w l l dd ave after the last tray is full? .................
ill he h

Laddoos Dhoklas Mysore pak

100 100 100
100 100 100
100 100 100
100 100 100

Farooq chachaʼs counter. Each open tray has ten rows of ten places; the packed trays below
are marked 100.

He will have 500 laddoos.

469 + 31 = 500

Then he has five full trays : 100  100  100  100  100  500. Five hundred.

Q7 Mark the following numbers on the number line below: 423, 487, 438, 476. Mark Five
Hun r d ed 500 on this number line!

413 423 433 443 453 463 473 483 493

The number line at the sweet shop. The last box is empty.

Each jump on this line is 10.
423 is on the second mark.
438 is between 433 and 443.

Page 36 of 67

l h h e e f d ed sI A aS m · NCERT So ut ons
gl e l i

476 is between 473 and 483.
487 is between 483 and 493.

The last box is 503. 500 is 7 steps after 493.

423 438 476 487 500

413 423 433 443 453 463 473 483 493 503

The four numbers marked, with 500 just before the last mark.

− Exp anat on
l i

Why is not on a mark The marks go
500 ? 413, 423, 433 … 493, 503. They all end in 3, so
500falls between and three steps before
493 503, 503.

Let us o — Page 73
D

Page 37 of 67

l h h e e f d edsI A aS m · NCERT So ut ons
gl e l i

Hop Hundreds Home

Q1 Teji and Jojo saw a big apartment. Find the house numbers of the shaded houses
without counting. Share your strategies.

HOP HUNDREDS HOME

186
174

155 160
143
138
127
111 112 113
101 102 103 104 105 106 107 108 109 110
100

11 12 13 14 15 16 17 18 19 20
01 02 03 04 05 06 07 08 09 10
Row Co umn
l

Hop Hundreds Home. The grey houses and the orange houses have no numbers on them.

Use two rules one house to the right is 1 more one floor up is 10 more
: , .

Page 38 of 67

as e
l h h e e f d ed sI
a g l A aS m · NCERT So ut ons
gl e l i

co m
m.
ROW GREY HOUSES

m as e
111 to 120
.co
114, 115, 116, 117, 118, 119, 120
a g l
se m
g l a
a
121 to 130 124

131 to 140 135

co m
141 to 150 144, 146
e m . ag
g l as
151 to 160 153, 156
a
161 to 170 162, 167
co m
e m.
com l as
171 to 180 172, 178

. a g
m
ase
181 to 190 188

agl191 to 200 191, 192, 193, 194, 195, 196, 197, 198, 199, 200

m t. For 188, start from 186 and move two houses a s
For 144, start from 143 and move one hous.ceorigh
agl
sem a
agl
right.

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 ase
.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 as e
.co

a g l Page 39 of 67

l h h e e f d ed sI A aS m · NCERT So ut ons
gl e l i

HOP HUNDREDS HOME
191 192 193 194 195 196 197 198 199 200

186 188

172 174 178

162 167

153 155 156 160
143 144 146

135 138
124 127
111 112 113 114 115 116 117 118 119 120

101 102 103 104 105 106 107 108 109 110
100

11 12 13 14 15 16 17 18 19 20
01 02 03 04 05 06 07 08 09 10
Row Co umn
l

Hop Hundreds Home with the grey houses named.

Page 40 of 67

l h h e e f d edsI A aS m · NCERT So ut ons
gl e l i

Q2 F nt s a
ill i he h ded b oxes with the correct house numbers.

HOP HUNDREDS HOME

186
174

155 160
143
138
127
111 112 113
101 102 103 104 105 106 107 108 109 110
100

11 12 13 14 15 16 17 18 19 20
01 02 03 04 05 06 07 08 09 10
Row Co umn
l

Hop Hundreds Home. The grey houses and the orange houses have no numbers on them.

The bottom row is 01 to 10, the next row is 11 to 20, and so on.

Page 41 of 67

l h h e e f d edsI A aS m · NCERT So ut ons
gl e l i

ROW SHADED HOUSES

21 to 30 23, 24, 25, 26, 27

31 to 40 37

41 to 50 41, 42, 43

51 to 60 56, 57, 58, 59, 60

61 to 70 63, 64, 66

71 to 80 72, 73, 74, 77, 78

81 to 90 82, 89, 90

91 to 100 97, 98, 99

Why T : he last digit of a house tells its column. The house in column 10 always ends
in 0.

Page 42 of 67

l h h e e f d ed sI A aS m · NCERT So ut ons
gl e l i

HOP HUNDREDS HOME

186
174

155 160
143
138
127
111 112 113
101 102 103 104 105 106 107 108 109 110
97 98 99 100
82 89 90

72 73 74 77 78

63 64 66

56 57 58 59 60

41 42 43

37

23 24 25 26 27

11 12 13 14 15 16 17 18 19 20
01 02 03 04 05 06 07 08 09 10
Row Co umn
l

Hop Hundreds Home with the orange houses named.

Let us o — Page 74
D

Page 43 of 67

as e
l h h e e f d edsI
a g l A aS m · NCERT So ut ons
gl e l i

Jump Joy Residency
co m
e m.
Arv n cDoama as to v r sw ts rom Farooq a aʼs s op toglasr nt ous s.
Q1
Csoem . i d d h deli

ous anum rs ar : 209,
e ee f ch ch h diffe e h e

gla228, 242, 258, 267, 276, 290, 315, 346, 367, 389, 395.
our t
l ous s to w
he h as to v r sw ts. T
e hich he h deli e ee he h e be e

a
JUMP JOY . comRESIDENCY ag
a s em
agl

co m
e m.
m l as
m.co a g
l a se
a g
m a s
m.co agl
301 l a se
ag

co m
m .
m as e
.co a g l
se m
g l a
a 242
se m
com g l a
m . a
ase
agl
211 212
201 209
m
.co
Row Co umn
l

embers printed.
a s
com
Jump Joy Residency. Only a few houses have their num

m . agl
ase
agl c
m .
m a s e
agl
The bottom row of this building is to 210. Find each house like this.
.co
201

se m
g l a
a

co m
m .
m as e
.co

a g l Page 44 of 67

l h h e e f d edsI A aS m · NCERT So ut ons
gl e l i

HOUSE ROW THAT BEGINS WITH COLUMN

209 201 9

228 221 8

242 241 2

258 251 8

267 261 7

276 271 6

290 281 10

315 311 5

346 341 6

367 361 7

389 381 9

395 391 5

Why T : he last digit tells the column. A house ending in 0 stands in the tenth column.

Page 45 of 67

l h h e e f d ed sI A aS m · NCERT So ut ons
gl e l i

JUMP JOY RESIDENCY
395

389

367

346

315

301

290

276

267

258

242

228

211 212
201 209
Row Co umn
l

The twelve houses that get sweets, coloured in.

Let us o — Page 75
D

Page 46 of 67

l h h e e f d edsI A aS m · NCERT So ut ons
gl e l i

Floors, columns and ‘Who am I?ʼ

Q1 Write the floor and column number for each of the following houses.

HOUSE NUMBER FLOOR COLUMN

13 1st 3

67

106

159

192

231

245

328

380

399

HOW THE HOUSES ARE NUMBERED
21 22 23 24 25 26 27 28 29 30
11 12 13 14 15 16 17 18 19 20
01 02 03 04 05 06 07 08 09 10
Row Co umn
l

The bottom three rows of the building. Row 1 holds 11 to 20.

Cover the last digit of the house number. What is left is the floor. The last digit is the column.

Page 47 of 67

l h h e e f d edsI A aS m · NCERT So ut ons
gl e l i

HOUSE NUMBER FLOOR COLUMN

13 1st 3

67 6th 7

106 10th 6

159 15th 9

192 19th 2

231 23rd 1

245 24th 5

328 32nd 8

380 37th 10

399 39th 9

Tip: A ous h e e nding in 0, like 380, stands in column 10. So 380 is on the 37th floor,
not the 38th.

Q2 Fn t
i d ollowing house numbers from the building and write the appropriate house
he f

numbers in the blank spaces. What do you notice? Discuss how the house numbers
change when moving up and down, and left to right.

238

12

144 319

Four small pieces cut out of the number buildings. Most houses are blank.

12, 13, 14; above 14 is 24.

Page 48 of 67

as e
l h h e e f d edsI
a g l A aS m · NCERT So ut ons
gl e l i

below 145 is 135.
co m
m.
143, 144, 145;

e
Below 238 is 228; the row is 226, 227, 228.
317, 318, 319;m
o below 319 is 309.
c g l as
m . a
s e
glhaat we notice r
aW : igh t 1 house: 1 more. Up 1 floor: 10 more. Down 1 floor: 10 less.

co m
em . ag
24
g l as 238

a
12 13 14 226 227 228

. com319
143 145 317 318
em
as
144

m l
m .co a g
ase
135 309

agl The same four pieces with every house named.

m a s
em
.co agl
a s
Q3 Who am I? I have digi 9,g1lan 5. I am ss t an 200. I av 9 on s. W
ts a d le h h e e hich number am
I?
co m
m .
mr is 159 as e
The num. cobe a g l
em
.

a s
agl  It has ones so the last digit is
 It is less than so the hundreds digit must be
200, 1.

se m
9 , 9.

 Only is left and it goes in the tens place
5 ,

com
.

g l a
. a
sem
1 hundred + 5 tens + 9 ones =la159
ag

co m
m .
Q4 mW o am I? I am a 3- t number. I have only digits 4 anda0.seWhich number am I?
.co agl
h digi

a s em
agl A NSW E R
.c
I can be 400, 404 or 440. Any one is correct.
s e m
A 3-digit number cannot begin with 0,om a
m.
c agl
so the hundreds digit must be 4.

as e
a g l

co m
m .
m as e
.co

a g l Page 49 of 67

l h h e e f d edsI A aS m · NCERT So ut ons
gl e l i

Q5 Who am I? I am greater than 300 but less than 400. I have no tens. My ones and
hundreds digits are the same. Which number am I?

The number is 303 .

 It lies between 300 and 400, so the hundreds digit is 3.
 It has no tens, so the tens digit is 0.
 The ones digit is the same as the hundreds digit, so it is 3.

300 + 0 + 3 = 303

Let us o — Page 76
D

Page 50 of 67

l h h e e f d edsI A aS m · NCERT So ut ons
gl e l i

Packing sweets in hundreds, tens and ones

Q1 Arv n Da a pa s sw ts n ox s o 100 H, 10 T an as pa
i d d ck ee i b e f ts of loose sweetsd cke

O. The number of sweets for every house is the same as the house number. Draw
sweets for each of the following house numbers.

HOUSE DRAW SWEET TYPES OF BOXES AND NUMBER
NUMBERS BOXES PACKETS SENTENCE

211 H T O 2 H  1 T1O 200  10  1

309 …… …… ……

275 …… …… ……

423 …… …… ……

365 …… …… ……

343 …… …… ……

458 …… …… ……

562 …… …… ……

606 …… …… ……

800 …… …… ……

Read the three digits of the house number as H T and O , .

Page 51 of 67

l h h e e f d edsI A aS m · NCERT So ut ons
gl e l i

HOUSE DRAW SWEET TYPES OF BOXES AND NUMBER
NUMBERS BOXES PACKETS SENTENCE

211 H T O 2H1T1O 200  10  1

309 H T O 3H+0T+9O 300 + 0 + 9

275 H T O 2H+7T+5O 200 + 70 + 5

423 H T O 4H+2T+3O 400 + 20 + 3

365 H T O 3H+6T+5O 300 + 60 + 5

343 H T O 3H+4T+3O 300 + 40 + 3

458 H T O 4H+5T+8O 400 + 50 + 8

562 H T O 5H+6T+2O 500 + 60 + 2

606 H T O 6H+0T+6O 600 + 0 + 6

800 H T O 8H+0T+0O 800 + 0 + 0

Why Ea : t has its own place. In 606 there are no tens, so we draw no T boxes
ch digi

and write 0 in the middle.

Let us o — Page 77
D

Page 52 of 67

l h h e e f d edsI A aS m · NCERT So ut ons
gl e l i

Spring leap homes, and boxes inside boxes

Q1 Write the house numbers of the yellow and pink houses.

SPRING LEAP HOMES
491
482

455

419
401 410
Row Co umn
l

Spring leap homes. The yellow and pink houses run in two slanting lines.

The bottom row of this building is 401 to 410.

Yellow houses: 410, 419, 428, 437, 446, 455, 464, 473, 482, 491

Pink houses: 401, 412, 423, 434, 445, 456, 467, 478, 489, 500

Follow the two slanting lines.

Page 53 of 67

as e
l h h e e f d ed sI
a g l A aS m · NCERT So ut ons
gl e l i

co m
SPR N L P OM S
e m.
as
I G EA H E

491 .com g l
m a 500

ase 482
agl
489

473 478

c om ag
464 467
.
m 456
e
455
s
ag la 445 446

434 437

co m
m.
423 428

o m412 l a se419
m . c ag
l a se401 410
a g Row Co umn
l

m a s
.co agl
Every yellow and pink house named.

se m
g l a
a

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 54 of 67

l h h e e f d edsI A aS m · NCERT So ut ons
gl e l i

Q2 Write the pattern you see in these numbers.

SPR N L P OM S
I G EA H E

491
482

455

419
401 410
Row Co umn
l

Spring leap homes. The yellow and pink houses run in two slanting lines.

Yellow: each number is 9 more than the one before : 410, 419, 428 …

Pink: each number is 11 more than the one before : 401, 412, 423 …

− Exp anat on
l i

Yellow goes one floor up more and one house left less
10 ) 1 ): 10  1  9.

Pink goes one floor up more and one house right more
10 ) 1 ): 10  1  11.

Check it yourself: In t y ow st t t ns he ell li he e digi t grows by 1 and the ones digit
alls by 1 each time.
f

Q3 Arv ni ada wants to pack small boxes of 10 in a big box of 100. How many boxes of 10
d d

can he fit in a box of 100? .........

He can fit 10 small boxes.

Page 55 of 67

l h h e e f d edsI A aS m · NCERT So ut ons
gl e l i

10 + 10 + 10 + 10 + 10 + 10 + 10 + 10 + 10 + 10 = 100

100
One big box of 100 with the small boxes of 10 drawn inside.

Why T n t ns ma on
: e e ke e hundred. That is what a hundred means.

Page 56 of 67

l h h e e f d ed sI A aS m · NCERT So ut ons
gl e l i

Q4 How many ox s o 10 an
b e f c he fi t in two boxes of 100? .........

He can fit 20 small boxes.

One box of 100 holds 10

Two boxes hold 10 + 10 = 20

Q5 How many ox s o 10 an
b e f c he fi t in four boxes of 100? .........

He can fit 40 small boxes.

10 + 10 + 10 + 10 = 40

Four hundreds are forty tens.

Q6 How many ox s o 10 w
b e f nd if he opens a box of 100? ................
ill he fi

He will find 10 boxes of ten.
Packing and opening are opposite jobs Ten tens went in so ten tens come out
. , .

Let us o — Page 78
D

Number hunt

Q1 Number hunt. Write the numbers between 200 and 300 that have 5 as a digit. Is 245
one such number? Write the other numbers.

Yes , 245 is one such number 5 ones).

Page 57 of 67

l h h e e f d edsI A aS m · NCERT So ut ons
gl e l i

Other numbers:

205, 215, 225, 235, 250, 251, 252, 253, 254, 255,

256, 257, 258, 259, 265, 275, 285, 295

With 245 there are 19 such numbers.

− Exp anat on
l i

Hunt in two ways.
Numbers with 5 in the ones place  205, 215, 225, 235, 245, 255, 265, 275, 285, 295.

Numbers with 5 in the tens place  250, 251, 252, 253, 254, 255, 256, 257, 258, 259.

255 comes in both lists, so we write it once: 10  10  1  19.

Let us Play — Page 78
Clap, snap and pat

Q1 Do you r m m r t s am ? L t us p ay t a a n. W w r or t
e e be hi g e e l i g i e ill ec d he actions in the table
bel ow. One is done for you.

HUNDREDS TENS ONES NUMBER

C ap C ap
l , l Snap Pat 211

Clap  1 hundred, snap  1 ten, pat  1 one.
Sample answer:

Page 58 of 67

ase
l h h e e f d ed sI
a g l A aS m · NCERT So ut ons
gl e l i

co m
m.
HUNDREDS TENS ONES NUMBER

m as e
Clap, Clap
.co
Snap Pat
a g l 211
m
Clalpa, Csleap, Clap
ag
Snap, Snap Pat, Pat, Pat, Pat 324

Clap, Clap, Clap, Clap — Pat, Pat 402

co m
Clap, Clap
m . ag
se
Snap, Snap, Snap, Snap, Snap Pat, Pat, Pat 253

Snapg l a
Clap, Clap, Clap, Clap, Clap a , Snap, Snap — 530

co m
m.
− Exp anat on
e
l i

m l as
m .co a g
l a se
Clap Clap + Snap + Pat
a g = 2 hundreds + 1 ten + 1 one = 211

m a s
emma s t soun s t
.co agl
a s
Try This: P ay n pa rs. On other writes the
num r Us no snap oraglt ns an no pat or on s
l i i e child ke he d , he

be . e f 0 e d f 0 e .

co m
m .
m as e
.co a g l
emand Tell — Page 78
Shsow
a
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
em . co agl
g l as
a

co m
m .
m as e
.co

a g l Page 59 of 67