NCERT Solutions Class 3 Maths Chapter 9 House of Hundreds Ii

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 9: House of
Hundreds - II

NCERT Textbook — Maths Mela

BOOK PAGES SECTIONS QUESTIONS MEDIUM

117 – 127 13 52 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 63 pages

l h h e e f d eds  II A aS m · NCERT So ut ons
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C L A SS 3 · M AT H S · M AT H S M E L A
NCERT So ut ons — C apt r 9: Hous o Hun r s - II
l i h e e f d ed

Chapter 6 opened the house of hundreds. Here we go further with three-digit numbers. We show them with
tiles, find them on the number line, make one number in many ways, and even say numbers with words.

T E XT B OOK B OOK PAGE S
Ma h Mela Cla
t s ss 3 117  127

S EC T I ONS QU E ST I ONS
13 52

M EDI UM
English

n-text Questions — Page 117
I

Akbar, Birbal and the crows

Q1 “How can you be so sure?ˮ, asked Akbar.

B r a sa , “You can get them counted.ˮ
i b l id

H a sa t r ar xa t y 963 rows.
e h d id he e e e c l c

Nine Hundred and Sixty Three = 963

963 = 900 + 60 + 3

Why No one can count crows that keep flying so no one could prove Birbal wrong
: , .

Q2 “What if there are less?ˮ, asked Akbar.

B r a sa , “The other crows would have gone on a holiday.ˮ
i b l id

So even a smaller count fits his answer.

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Tip: When we cannot count something, we make a good guess. This is called an
estimate.

Q3 “What if there are more?ˮ, asked Akbar.

B r a sa , “Crows from other places would be visiting the city.ˮ
i b l id

A ar was appy w t t s r p y an av B r a t r war .
kb h i h hi e l d g e i b l he e d

Why Crows keep flying in and out so their number in a city keeps changing
: , .

Let us o — Page 118
D

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Rice sacks, tiles and the number line

Q1 “What are you carrying? How many are there?ˮ Write the number of rice sacks.

The tiles the truck driver drew to show his sacks of rice.

The driver has 632 sacks of rice.

6 big tiles = 600

3 long tiles = 30

2 small tiles = 2

600 + 30 + 2 = 632

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co m
e m.
m l as
m.co a g
l a se
a g
100 10
m 1
m .co ag
O e big ileasee l g ile a d
agl
n t , on on t n on e small tile.

. c om
Q2 Draw tiles like the driver to show the following numbers. You can sdeom
it in your
m
o ook. (a) 832
notceb gl a
. a
a s em
a gl
m a s
m .co agl
l a se
ag

com
m .
m ase
.co a g l
se m
g l a
a
se m
com g l a
m . a
ase
agl
om.
The tiles the truck driver drew to show his sacks of crice
.
m
m ase
m . co agl
l a se A NSW E R
ag c
Draw 8 big tiles, 3 long tiles and 2 small tiles.
m .
m a s e
e m . co agl
as
800 + 30 + 2 = 832

a g l

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m .
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.co

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832 s hown with tiles.

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Q3 Draw tiles like the driver to show the following numbers. You can do it in your
notebook. (b) 947

The tiles the truck driver drew to show his sacks of rice.

Draw 9 big tiles, 4 long tiles and 7 small tiles.

900 + 40 + 7 = 947

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947 s hown with tiles.

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Q4 Draw tiles like the driver to show the following numbers. You can do it in your
notebook. (c) 726

The tiles the truck driver drew to show his sacks of rice.

Draw 7 big tiles, 2 long tiles and 6 small tiles.

700 + 20 + 6 = 726

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

co m
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
ag 726 s hown with tiles.

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

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m .
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.co

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Q5 Draw tiles like the driver to show the following numbers. You can do it in your
notebook. (d) 504

The tiles the truck driver drew to show his sacks of rice.

Draw 5 big tiles and 4 small tiles. No on t l g ile, bec ause the tens digit is 0.

500 + 0 + 4 = 504

504 s hown with tiles.

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Q6 Draw tiles like the driver to show the following numbers. You can do it in your
notebook. (e) 620

The tiles the truck driver drew to show his sacks of rice.

Draw 6 big tiles and 2 long tiles. No sma t ll ile, bec ause the ones digit is 0.

600 + 20 + 0 = 620

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620 s hown with tiles.

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Q7 Draw tiles like the driver to show the following numbers. You can do it in your
notebook. (f) 700

The tiles the truck driver drew to show his sacks of rice.

Draw 7 big tiles on y. No on or sma t
l l g ll iles, bec ause the tens and ones digits are 0.

700 + 0 + 0 = 700

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hown with tiles.
co m
m.
700 s

m as e
.co a g l
em
Q8 laLset us locate the following numbers on the number line: 530, 540, 628, 696, 590
ag

co m
e m . ag
560las
ag
500 520 600 620 660 680 700

The number line from 500 to 700. Three labels are missing.

co m
em.
m l as
A NSW Em R .co a g
l a se ox s 540, 580, 640 umps o
ag
E mpty b e : (j f 20.

530: between 520 and 540
m a s
.co agl
540: on the first box

se m
a
590: between 580 and 600
628: just after 620
ag l
696: just before 700

co m
m .
m as e
.co
530 590 628
a g l 696

se m
g l a
a
m
500 520 540 560 580 600 620 640 660 680 700
a se
comi a d he fi e
The i i g label .filled
ag l
em
m ss n s n, n t v num bers marked.

a s
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

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Q9 Also, locate the following numbers on the number line: 703, 721, 759, 810, 855, 887

695 715 735 775 795 835 855 875

The number line from 695 to 895. Three labels are missing.

Empty ox s: 755, 815, 895 ( umps o 20.
b e j f

703: between 695 and 715
721: just after 715
759: just after 755
810: between 795 and 815
855: already on the line
887: between 875 and 895

703 721 759 810 855 887

695 715 735 755 775 795 815 835 855 875 895

The missing labels filled in, and the six numbers marked.

Let us Think — Page 119

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Neighbouring numbers, and the cranes on the number line

Q1 Write the appropriate numbers between which each of the given numbers lie.

NUMBER NEIGHBOURING NEIGHBOURING NEIGHBOURING
HUNDREDS FIFTIES TENS
468 400 and 500 450 and 500 460 and 470

183

345

693

734

899

The row for 468 is done in the book.

NUMBER NEIGHBOURING NEIGHBOURING NEIGHBOURING
HUNDREDS FIFTIES TENS
468 400 and 500 450 and 500 460 and 470

183 100 and 200 150 and 200 180 and 190

345 300 and 400 300 and 350 340 and 350

693 600 and 700 650 and 700 690 and 700

734 700 and 800 700 and 750 730 and 740

899 800 and 900 850 and 900 890 and 900

Tip: Hundreds: look at the hundreds digit. Tens: look at the tens digit. Fifties go 100,
150, 200, 250 …

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Q2 Help cranes reach their food using the number line. To reach the worm: 667  ..........
steps  650. Length of steps: ..........

650 655 660 665 670 675 680 685 690 695 700
667
The crane stands on 667. The worm is at 650 and the fish is at 700.

667  17 steps  650
Length of steps: 1

667 – 7 = 660

660 – 10 = 650

7 + 10 = 17

Tip: The crane can also go in 2 jumps: 7 steps, then 10 steps.

17 steps back

650 655 660 665 670 675 680 685 690 695 700
667
17 st pse back take the crane to the worm.

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Q3 To reach the fish: 667  .......... steps  700. Length of steps: ..........

650 655 660 665 670 675 680 685 690 695 700
667
The crane stands on 667. The worm is at 650 and the fish is at 700.

667  33 steps  700
Length of steps: 1

667 + 3 = 670

670 + 30 = 700

3 + 30 = 33

Tip: The crane can also go in 3 jumps of 11 steps.

33 steps on

650 655 660 665 670 675 680 685 690 695 700
667
33 st pse forward take the crane to the fish.

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co m
m.
Q4 To reach the worm: .......... – .......... steps  750. Length of steps: ..........

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

. com775 ag
m
750 755 760 765 770 780 785 790 795 800

l a se
The ec d agbe li e The c a e a d be ee
s on num r n . r n st n s tw n 770 and 775.

co m
em.
m l as
.co
a g
s em
The crane stands on 773.
a
a l  23 steps 750
g773 

s
Length of steps: 1
m a
m .co agl
773 – 3 = 770
l a se
770 – 20 = 750 ag

co m
.
3 + 20 = 23

em
m l as
m.co a g
l a se
ag 23 steps back

se m
com g l a
m .770 775 a
750 755 760
as
765
e 780 785 790 795 800

agl
773
23 st ps e back take the crane to the worm.

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

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.co

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Q5 To reach the fish: .......... + .......... steps  800. Length of steps: ..........

750 755 760 765 770 775 780 785 790 795 800

The second number line. The crane stands between 770 and 775.

The crane stands on 773.
773  27 steps  800
Length of steps: 1

773 + 7 = 780

780 + 20 = 800

7 + 20 = 27

27 steps on

750 755 760 765 770 775 780 785 790 795 800
773
27 st pse forward take the crane to the fish.

Tambola — Page 120

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The number grid, and different ways of making a number

Q1 Fill the grid with numbers between 570 and 630. Strike out all the numbers which
match the clues below. You can strike out more than one number. The child who has
most numbers cancelled is the winner. One example is given below.
1. 597
2. A number with 4
3. Numbers between 595 and 605
4. A number with 1 as the tens digit
5. Two more than 610
6. 5 less than 625

572 628 579 599

597 574 581 600

623 573 570 602

609 616 614 626

The Tambola grid printed in the book, before any number is struck out.

7 numbers are struck out.

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Clue 1: 597

Clue 2: 574, 614

Clue 3: 597, 599, 600, 602
Clue 4: 614, 616

Clue 5: 610 + 2 = 612

Clue 6: 625 – 5 = 620

612 and 620 are not here.

572 628 579 599

597 574 581 600

623 573 570 602

609 616 614 626

Seven numbers in this grid match the clues.

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Q2 Write different ways of making the following numbers. 905

3 hundreds,
6 tens, 8 ones

68 more 32 less than 400
than 300
368 400  32

300  60  8

The bookʼs example: different ways of making 368.

905

The four empty boxes around 905.

Four ways o ma n 905:
f ki g

9 hundreds, 0 tens and 5 ones
5 more th an 900
15 less than 920 920  15

900  0  5

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co m
em.
m l as
m.co 9 hundreds, 0 tens a g
l a se and 5 ones
ag
5 more .
905 com 15 less than 920
ag
than 900
a sem 920  15
agl

co m
900  0  5
em.
m l as
m.co a g
l a se
a g One way of filling the web for 905.

m a s
m .co agl
l a se
g
Write different ways of making the following numbers. 555
a
Q3

co m
m .
m ase
.co a g l
se m
g l a
a
555 se m
c o m g l a
m . a
ase
agl

co m
m .
m as e
.co a g l
sem
The four empty boxes aroun 555.
d
a
agl c
m .
m a s e
co agl
m .
se
Four ways o ma n 555:
l a
f ki g

t ns an g on s
5 hundreds, 5 e
a d 5 e

55 more th an 500

co m
m .
m as e
.co

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45 less th an 600 600  45
500  50  5

5 hundreds, 5 tens
and 5 ones

55 more 45 less than 600
than 500
555 600  45

500  50  5

One way of filling the web for 555.

Q4 Write different ways of making the following numbers. 736

736

The four empty boxes around 736.

Four ways o ma n 736:
f ki g

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7 hundreds, 3 tens and 6 ones
36 more th an 700
64 less th an 800 800  64
700  30  6

7 hundreds, 3 tens
and 6 ones

36 more 64 less than 800
than 700
736 800  64

700  30  6

One way of filling the web for 736.

Skip and Solve — Page 121

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Number patterns and the footprint trail

Q1 Teji and Jojo are resting. Ajji asks them to complete the number patterns. Let us help
them fill in the empty boxes. Complete the blue pattern.

10
850
720 730 750 760

100 550
450

The blue pattern. The row grows by 10, the column by 100.

Row: add 10 each time. Column: add 100 each time.

Row: 720, 730, 740, 750, 760, 770, 780

Column: 450, 550, 650, 750, 850, 950

950
10
850
720 730 740 750 760 770 780
650

100 550
450

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The blue pattern with every box filled.

Q2 Teji and Jojo are resting. Ajji asks them to complete the number patterns. Let us help
them fill in the empty boxes. Complete the green pattern.

25 880 920

905

930

875
30
830 860 980

15 845

The green pattern. The flat row grows by 30, one slanting line by 15 and the other by 25.

Three number chains cross here.

Flat row (+30): 830, 860, 890, 920, 950, 980

Slanting up (+15): 845, 860, 875, 890, 905, 920

Slanting down (+25): 880, 905, 930, 955, 980

25 880 920

905

890 930

875 955
30
830 860 890 920 950 980

15 845

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The green pattern with every box filled.
co m
e m.
m l as
.co a g
em
Q3 laAs trail of footprints runs along the edge of pages 121 and 122. Some footprints are
ag empty. Which numbers are missing?

com
m .
e 944 ag
940 942
g l as 948
941 a 943 945 947 949

958om
950 952 954
. c
951 953 955 957
s e m 959

co m l a
m . 966 ag
e
las
962 964 968
961 963 965 967 969
ag
m a s
.co agl
The footprint trail on page 121, from 940 to 969.

se m
g l a
a
On page 122 the trail goes on: 970, 971, 972, ___, 974, 975, 976, 977, ___, 979, 980, ___,
982, 983, 984, 985, 986, 987, ___, ___, ___, ___, 992, 993, 994, 995, 996, ___, 998, ___,

co m
1000

m .
Rm ase
A NSW E o
. c a g l
s e m
a
agl Pa
Page 121 the empty footprints are 946, 956 and 960.
ge 122 they are 973, 978, 981, 988, 989, 990, 991, 997 and 999.
Ea
se m
a
an the one before.
com l
ch footpr int is 1 more th

. ag
m
gl ase
940 942a 944 946 948
941 943 945 947 949
co m
m .
m 956
a e
s957
l
950 952 954 958
m .co 951 953 955
ag 959

l a se
ag 960
c
962 964 966 968
961 963 965 967 969
m .
m a s e
m . co agl
The trsaeil with the three missing numbers written in.
a
agl

co m
m .
m ase
.co

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Let us Do — Page 122
Number sentences, and bigger or smaller

Q1 Write number sentences for the numbers in the centre. 400

290  110

400

One number sentence for 400 is already written.

The book gives 290  110. Four more number sentences for 400:

300 + 100 = 400

200 + 200 = 400

380 + 20 = 400
450 – 50 = 400

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300  100 290  110

400 200  200

450  50 380  20

One way of filling all five boxes.

Q2 Write number sentences for the numbers in the centre. 775

750  25

775

One number sentence for 775 is already written.

The book gives 750  25. Four more number sentences for 775:

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700 + 75 = 775

725 + 50 = 775

700 + 70 + 5 = 775
800 – 25 = 775

750  25 700  75

775 725  50

800  25 700  70  5

One way of filling all five boxes.

Q3 Write numbers in the blank spaces such that they meet the conditions.

> <
400
> <
In t he book a crocodile sits at each sign. Its open mouth faces the bigger number.

Ev ry ro o
e c c dile opens its mouth tow ards a box. So each box needs a number bigger than 400.

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410 > 400

640 > 400

400 < 505

400 < 830

Any num bers bigger th an 400 are right.

410 > < 505
400
640 > < 830

One set of numbers that meets all four conditions.

Q4 Write numbers in the blank spaces such that they meet the conditions.

419 > < 425
?
385 > < 436

In t he book a crocodile sits at each sign. Its open mouth faces the bigger number.

The circle needs a number smaller than 385, the smallest of the four. For example, 380.

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co m
em.
419 > 380
m l as
385 > 380
m.co a g
l a se
g
380 < 425
a380 < 436
m
or m
.co ag
se
Any num
a
ber below 385 is r ight, like 100

l
384.

a g

419 > < 425. com
a sem
. com agl
m
ase 380
agl
385 > .com < 436
a s
em agl
a s
agl i alle ha all f
380 s sm r t n bers.
our num

co m
m .
NumbecroPmuzzles — Page 122 as e
. a g l
m
ase
agl
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 .
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a

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Four circles in order

Q1 Fill the numbers 384, 23, 176, 905 in the empty circles such that they meet the
conditions.

The point of each red sign faces the smaller number and its open side faces the bigger one.

23 < 176 < 384 < 905

Left: 23, Top: 176, Right: 384, Bottom: 905.
The point of each sign faces the smaller number.

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176

23 384

905

The only way to fill the four circles.

Let us Do — Page 123

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Matching quantities and matching clues

Q1 Match the quantities on the left with the appropriate numbers on the right.
The ranges given are: 0  10, 11  50, 51  100, 101  200, 201  500, 501  1000, More
than 1000.

QUANTITY NUMBER RANGE
Number of children in your school

Number of books in your classroom
Number of people in a bus

Number of pages in your mathematics book

Number of steps you walk in a day
Number of stars in the sky

Number of flowers in a garland

Sample answer: Your answers may be different.

QUANTITY NUMBER RANGE
Number of children in your school 201 – 500

Number of books in your classroom 51 – 100

Number of people in a bus 11 – 50

Number of pages in your mathematics book 101 – 200

Number of steps you walk in a day More than 1000

Number of stars in the sky More than 1000

Number of flowers in a garland 51 – 100

Tip: One range can match more than one thing. Steps in a day and stars in the sky
are both more than 1000.

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l h h e e f d eds  II A aS m · NCERT So ut ons

Q2 Match the following such that all the conditions are met.
The numbers given are: 150, 425, 367, 400, 100.

CLUE NUMBER
I have 2 zeroes as digits and am very close to 99

I have 3 hundreds, 6 tens and 7 ones

I have zero tens and zero ones

I am century + half century
I come between 400 and 450, and I have 5 as a digit

CLUE NUMBER
I have 2 zeroes as digits and am very close to 99 100

I have 3 hundreds, 6 tens and 7 ones 367

I have zero tens and zero ones 400

I am century + half century 150

I come between 400 and 450, and I have 5 as a digit 425

100 comes just after 99 and has two zeroes.
300  60  7  367

400 has 0 tens and 0 ones 100 is already used).
Century + half century  100  50  150
425 is between 400 and 450 and has a 5.

The Number Detective — Page 124

Page 38 of 63

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

Patterns hidden inside numbers
co m
e m.
m l as
Q1 .co
Look at the hundreds: 100, 200, 300. Can you find all the hundreds?
m a g
l a se
a g
m
100 200 300
. co ag
e m
g l as
a
m
.c.o
The three hundreds the book prints, and six empty shapes below
m
a se
. com a g l
m
ase
agAlNSW E R
The empty shapes are 400, 500, 600, 700, 800 and 900.
m a s
.co agl
Ea an the one before. There are 9 hundreds in all.
m
ch hundred is 100 more th

l a se
ag
m
100 200 300
. co
e m
m l as
.co a g
a s em 400 500 600 700 800 900
agl
ll nine hundreds.
se m
com l a
A

. ag
m
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 39 of 63

l h h e e f d eds  II A aS m · NCERT So ut ons

Q2 Some numbers are special, letʼs explore, 789 345 and 123, what more?
Jojo wonders why theyʼre so neat, Teji says 876 and 321 too have the same beat!

789 345 123

The three numbers the book prints, and four empty boxes below.

In 123, 345 an 789 td he digits go up one by one.

More such numbers: 234, 456, 567, 678.
In 876 an 321 t
d he digits go down one by one, like 987, 654, 432.

789 345 123

234 456 567 678
Four mor e numbers whose digits climb one by one.

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

Q3 Now, numbers that repeat, such as 11, 22, 33, have twin digits. While 111, 222, 333 are
triplet digits. Can you find more such numbers that follow the pattern?

11 22 33 111 222 333

Twin digits and triplet digits, with five empty boxes below.

More triplet-digit numbers: 444, 555, 666, 777, 888 (and 999.
More twin-digit numbers: 44, 55, 66, 77, 88, 99.

11 22 33 111 222 333

444 555 666 777 888
i e more triplet numbers.
F v

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Q4 Here are more numbers that look the same, from left to right, and right to left: 353 868.
Finding them is a fun game. Write other such numbers.

353 868

Two numbers that read the same both ways, and five empty boxes.

Such numbers: 121, 232, 414, 505, 767.
The first and the last digit are the same. Any digit can go in the middle.

353 868

121 232 414 505 767

F v i e more numbers that read the same both ways.

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Q5 Teji likes numbers with zeroes. She knows numbers like 210 404 and 800. Write more
such numbers.

210 404 800

Three numbers with zeroes, and five empty circles.

More numbers with zeroes: 302, 450, 607, 900, 108.
Zero in the ones place: 450, 900
Zero in the tens place: 302, 607, 108

210 404 800

302 450 607 900 108

F v i e more numbers with a zero in them.

Let us Do — Page 125

Page 43 of 63

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

Six paper slips
co m
em.
I have c6oblmank paper slips. I can write 100, 10 or 1 on each of themg.lWahsat numbers can I
Q1
meam
. a
a s ke with these 6 slips? Discuss.

agl

. com ag
100 a s em 100 100
ag l

m
m .co
e
las
m 100 100 100
.co ag
asem
agl
Six slips with 100 written on each slip. Six hundred.
m a s
m .co agl
l a se
ag
100 100 100
. com
m a sem
e m . co agl
g l as
a 100 10 10
se m
com g l a
m . a
ilhas
e
Four s li
a g
ps w t i e
100 wr tt n on t hem and two slips with 10 on them. 420.

co m
m .
m as e
.co
We use all 6 slips every time. Some numbers we can make:
a g l
se m
g l a
a c
.
600 = 6 hundreds

s e m
m a
o agl
420 = 4 hundreds + 2 tens
. c
m
231 = 2 hundreds + 3 tens + 1eone
s
a
6 = 6 ones agl

co m
m .
m ase
.co

a g l Page 44 of 63

l h h e e f d eds  II A aS m · NCERT So ut ons

Hun r d eds + tens + ones must be 6 slips.

Q2 (a) What will you write on these slips for making 231?

Six blank paper slips. On each one you may write 100, 10 or 1.

Write 100, 100, 10, 10, 10 and 1.

2 hundreds + 3 tens + 1 one

200 + 30 + 1 = 231

100 100 10

10 10 1

The six slips that make 231.

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Q3 (b) What will you write on these slips for making 123?

Six blank paper slips. On each one you may write 100, 10 or 1.

Write 100, 10, 10, 1, 1 and 1.

1 hundred + 2 tens + 3 ones

100 + 20 + 3 = 123

100 10 10

1 1 1

The six slips that make 123.

Page 46 of 63

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

Q4 Make other numbers.

Six blank paper slips. On each one you may write 100, 10 or 1.

a Number is 510  500  10
( )

(b) Number is 213  200  10  3

Tip: 330, 141, 402 and 51 can also be made.

100 100 100

100 100 10

i e slips with 100 and one with 10 make 510.
F v

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l h h e e f d eds  II A aS m · NCERT So ut ons

100 100 10

1 1 1

Two slips with 100, one with 10 and three with 1 make 213.

Q5 What is the largest number that can be made?

Six blank paper slips. On each one you may write 100, 10 or 1.

The largest number is 600. Write 100 on every slip.

100 + 100 + 100 + 100 + 100 + 100 = 600

Page 48 of 63

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a g l A aS m · NCERT So ut ons
gl e l i

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

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

co m
em.
as
Six slips with 100 on each make 600.
. com a g l
m
ase
agl Are there numbers which can not be made using these slips? Find out.
Q6
m a s
m .co agl
l a se
ag

co m
m .
m as e
.co a g l
se m
g l a
a
se m
com g l a
Six blank papem . a
ase
r slips. On each one you may write 100, 10 or 1.

agl
co m
m .
m
Yes. A number can be made only if it needs exactly 6 slips.
as e
.co a g l
se m
g l a 250 → 2 + 5 + 0 = 7 slips, too many
a c
m .
e
100 → 1 + 0 + 0 = 1 slip, too few

om a s
ma m t
e
. c agl
and 55 c annot
a s
agl
700, 999 be r de ei he .

co m
m .
m ase
.co

a g l Page 49 of 63

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

Q7 What is the smallest number that can be made?

Six blank paper slips. On each one you may write 100, 10 or 1.

The smallest number is 6. Write 1 on every slip.

1+1+1+1+1+1=6

1 1 1

1 1 1

Six slips with 1 on each make 6.

My Numbers — Page 126

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

Making numbers with the digits 3 and 8

Q1 Take the digits 3 and 8 and make as many 2 or 3-digit numbers as you can. You can
repeat the digits.
Teji: “Jojo, with 3 and 8, I can make 38.ˮ Jojo: “I can make 338, 388.ˮ

2-DIGIT NUMBERS 3-DIGIT NUMBERS

There are 4 two-digit and 8 three-digit numbers.

2-DIGIT NUMBERS 3-DIGIT NUMBERS

33 333

38 338

83 383

88 388

833

838

883

888

Tip: Write the numbers that start with 3 first, then those that start with 8. Then none
is missed.

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Q2 Arrange the numbers. Smaller to greater

2-DIGIT NUMBERS 3-DIGIT NUMBERS

33 333

38 338

83 383

88 388

833

838

883

888

33, 38, 83, 88,

333, 338, 383, 388,

833, 838, 883, 888

2-digit numbers come first. For 3- digit numbers, comp are the hundreds, then the tens, then the
ones.

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l h h e e f d eds  II A aS m · NCERT So ut ons

Q3 Smallest number: .......... Largest number: ..........

2-DIGIT NUMBERS 3-DIGIT NUMBERS

33 333

38 338

83 383

88 388

833

838

883

888

Smallest number: 33. Largest number: 888.
33 h as only two digits. 888 has the bigger digit 8 in every place.

Let us Think — Page 126

Page 53 of 63

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a g l A aS m · NCERT So ut ons
gl e l i

Tejiʼs word cards
co m
em.
m l as
Q1 .co
Teji is making numbers using words! She shows the blue cards and says it is 12. She
m a g
l a se shows the yellow cards and says 14. Why?
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
Moon Tw nsi

m a s
.co
eTmhe bl e ca d Teji h agl
a s
agl
u r s s ows.

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
Qutu m nar C ar m onmar
c
.
b i h i

s e m
co m gl a
m . ca d a
e
las
The yellow r s.

ag c
m .
m a s e
. co agl
e m
Ea ch c ard stands for a digit.
g l as
Moon  1 (there is one moon)a

co m
m .
m as e
.co

a g l Page 54 of 63

l h h e e f d eds  II A aS m · NCERT So ut ons

Twins  2
Qutub minar  1 (one tower)
C ar m nar  4 ( our tow rs)
h i f e

Moon, Twins → 1, 2 → 12

Qutub minar, Char minar → 1, 4 → 14

Page 55 of 63

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

Q2 Figure out what Teji is doing.

Moon Tw ns
i

The blue cards Teji shows.

Qutu m nar b i C ar m nar
h i

The yellow cards.

Teji uses a word for each digit.
The first card gives the tens digit. The second card gives the ones digit.

In-text Questions — Page 127

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

Bhutasankhya  Word Numerals

Q1 Ajji showed some more numbers.

Sa Re
Ga Ma
Pa Dha
Ni

Sapta svara Moon
A jjiʼs cards (a): Sapta svara  7, Moon  1.

Past
Present
Future

Pa m l Tr a a
i k l

A jjiʼs cards (b): Palm  5, Tri kala  3.

This way of saying numbers using words is called Bhutasankhya, which means Word
Numerals.
Write the numbers, for the following cards. (a)

Page 57 of 63

l h h e e f d eds  II A aS m · NCERT So ut ons

D r t ons
i ec i Ey s
e

ard (a): Directions and Eyes.
C

a 42
( )

Directions = 4 (north, south, east, west)

Eyes = 2

4 and 2 → 42

Page 58 of 63

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a g l A aS m · NCERT So ut ons
gl e l i

co m
m.
Q2 Write the numbers, for the following cards. (b)

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

co m
e m . ag
g l as
a

co m
e m.
.co
m S ns or ans H axgalason
m
e e g e g

l a se
a g
s
ard (b): Sense organs and Hexagon.
m a
agl
C

m .co
l a se
A NSW E R ag
m
56
co
(b)

m .
m as e
.co
Sense organs = 5 (eyes, ears, nose, tongue, skin)
a g l
s m
eHexagon
g l a = 6 (six sides)
a 5 and 6 → 56
se m
com g l a
m . a
ase
Q3 agl
Think of other words for 0  9.

co m
m .
Sampm as e
.co
le answer: You can think of other words too.
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 59 of 63