Math 2

Prime

MATHEMATICS

Pragya Books & Distributors Pvt. Ltd.

Printing history
First Edition 2078 B.S.

Chief editor
Raj Kumar Mathema

Author
Dirgha Raj Mishra

Editors
Dhruba Narayan Chaudhary
Sibendra Karki
Narayan Shrestha
Uma Raj Acharya
Yam Bahadur Poudel
Bindu Kumar Shrestha
Bhakta Bdr Bholan
Ramesh Regmi

Language Editor
Mrs. Tara Pradhan

Layout and design
Desktop Team

© Publisher
All rights reserved. No part of this book, or designs and
illustrations here within, may be reproduced or transmitted in
any form by any means without prior written permission.

Price : Rs. 392/-

ISBN : 978-9937-0-2223-1

Printed in Nepal

Published by
Pragya Books & Distributors Pvt. Ltd.

Lalitpur, Nepal
Tel : 5200575
email : [email protected]

Preface

Prime Mathematics 2 is a distinctly outstanding mathematics series designed
according to new curriculum in compliance with Curriculum Development
Centre (CDC) to meet international standard in the school level mathematics.
The innovative, lucid and logical arrangement of the contents make book in their
series coherent. The representation of ideas in each volume makes the series not
only unique but also a pioneer in the evaluation of activity based mathematics
teaching.
The subject is set in an easy and child-friendly pattern so that students will
discover learning mathematics is a fun thing to do even for the harder problems.
A lot of research, experimentation and careful graduation have gone into the
making of the series to ensure that the selection and presentation is systematic,
innovative, and both horizontally and vertically integrated for the students of
different levels.
Prime Mathematics 2 is based on child-centered teaching and learning
methodologies, so that the teachers can find teaching this series equally enjoyable.
We are optimistic that, this series shall bridge the existing inconsistencies
between the cognitive capacity of children and the subject-matter.
We owe an immense dept of gratitude to the publishers (Pragya Books
team) for their creative, thoughtful and inspirational support in bringing about the
series. Similarly, I would like to acknowledge the tremendous support of editors
team, teachers, educationists and well-wishers for their contribution, assistance
and encouragement in making this series a success. I would like to express my
special thanks to Sachin Maharjan (Wonjala Desktop) for his sincere support of
designing part of the book.
We hope this book will be another milestone in the advancement of
teaching and learning mathematics in Nepal. We solicit feedback and suggestions
from teachers, students and guardians alike so that we can refine, and improvise
the series in the future editions.

– Authors



Contents

Unit 1 Me and My Family 7
Capacity 9

Unit 2 My Daily Life 17
2.1 Time 19
25
2.2 Calendar
35
Unit 3 Knowledge of Numbers 37
3.1 Devanagari Numerials 40
3.2 Concept of Place Value 44
3.3 Three Digit Numbers 56
Numbers from 301-1000 64
3.4 Formation of numbers using three digits
67
Unit 4 Our Community 69
4.1 Comparison of Numbers 71
Ascending and Descending order 75
4.2 Even and Odd Numbers 78
4.3 Weight
83
Unit 5 Basic operations on mathEmatics 85
5.1 Addition 88
Addition without carry over 96
Addition with carrying 104
5.2 Subtraction 109
Relation between addition and subtraction 111
Subtraction with borrowing

Contents

5.3 Multiplication 122

Multiplication of two digits number by single digit 137

Multiplication of three digits number by single digit 139

5.4 Division 149

Division of two digits number by single digit 137

Unit 6 Our School 165
6.1 Length 166
Measuring the lengths 169
6.2 Area 174
6.3 Fraction 180

Unit 7 My Creation 193
Geometrical Shapes 195

Unit 8 Communication, Technology and Market 221
8.1 Money 222

8.2 Pictograph 237

Unit 9 Additional Chapter 247
Set 248

Algebra 252

1Unit

ME AND MY FAMILY

Estimated periods - 7

Objectives

At the end of this unit, students will be able to:
identify standard vessels of capacity 100 ml, 200 ml, 250 ml, 500 ml,
1 litre, etc.
compare the capacity of vessels.
Identifying types of vessels and their capacity.

Teaching Materials
Standard vessels of 100 ml, 200 ml, 250 ml, 500 ml, 1 litre, 2 litres
and other pots of different capacities.

Activities

It is better to:
show and discuss about standard capacities of vessels.
identify and compare the capacities of different vessels.
let the students practice different problems of conversion, addition
and subtraction of capacities.

Mathematics 2 Approved by CDC 7

There is a tank and a jar.
(They made my thirsty far)2

There is a drum for the rice pack.
(It is filled with five sacks)2

There is a pen which make me think.
(10 drops are needed to fill ink)2

There is a jug which made of silt.
(five glasses are required to fill milk)2

All of them I have to fill
(knowledge of capacity without them is nill)2

8 Approved by CDC Mathematics 2

Capacity

Pema,
Do you have vessels to
measure the quantity
of liquids.

Yes mam,
There are different vessels in my
house to fill liquids like water,
kerosene, milk, ink etc.

You are right
Such liquids can be filled in
such vessels according to
their capacity.

Cup Glass Mug Jug Jar Drum Tank

These are the measuring 100 ml
objects of different
capacities.

200 ml 500 ml

Mathematics 2 Approved by CDC 9

See, feel and do.

1. Less and more capacity?

Cup There is more water in the glass.
Capacity of glass is more.

Glass Bottle There is less milk in glass. It's
Glass Capacity is less.

1.5 litres 500 ml There is more coke in
Its capacity is

Mug There is more water in
Jug Its capacity is

Can

Bottle

Drum Tank Mathematics 2

10 Approved by CDC

2. Which vessel (pot) has more capacity?
ab

has more capacity.

ab

has more capacity.

a b has more capacity.
Swimming pool has more capacity.
Tube pool has more capacity.
a b

c

a
bc

Mathematics 2 Approved by CDC 11

3. Which vessel (pot) has less capacity?

ab c has less capacity.
a b has less capacity.
has less capacity.
Swimming pool Tube pool
a b

a bc has less capacity.
ab has less capacity.

12 Approved by CDC Mathematics 2

See, feel and learn.

Water, milk, cooking oil, petrol, kerosene, coke are examples of liquids.
How much liquid a vessel can hold shows its capacity.
Capacity of a vessel is expressed in litres and millilitres.
Short form of litres is l and short form of millilitre is ml.

Meaning of 1 ml and 1 litre:

1000 millilitres = 1 litre 1 cm A small vessel of1cm
or 1000 ml = 1 l long, 1cm broad and
1cm high can hold 1
1 cm 1 cm millilitre of liquid.

1000 such capacities make 1 litre.

Small amount of liquid is measured in millilitres.

150 ml 250 ml 50 ml dropper medicine coke bottle
100ml 500 ml

Big amount of liquid is measured in litres.

500 ml 1 litres 5 litres cooking oil 10 l coke 1.5 l

Mathematics 2 Approved by CDC 13

Conversion from litre to millilitre 3 litres = 3 × 1000 millilitres
1 litre = 1000 millilitres = 3000 millilitres

2 litres = 2 × 1000 millilitres 20 l = 20 × 1000 ml
= 2000 millilitres = 20000 ml

See, feel and do.

1. Fill in the boxes given below. Capacity of bottle is 1 litre.
(a) times is needed to fill

20l 1l the jar with the bottle.
(b)
Capacity of bottle is 2 litres.
10l 2l times is needed to fill

the bucket with the bottle.

(c) Capacity of jar is 20 litres.

It takes 50 times to fill
20l litres tank.

2. Complete the following as shown in the example.

2 l = 2 × 1000 ml = 2000 ml 2l = 2 × 1000 ml
= ml = 2000 ml
4 l = × ml = ml
= ml 1l = 1000ml
7 l = × ml = ml

12 l = × ml

18 l = × ml

14 Approved by CDC Mathematics 2

Unit Revision Sheet

1. In which vessel more water can be filled?

More water can be filled

a bc in

More water can be filled
in

2. Arranged in low capacity to high capacity for the followings.

3. How many times is needed to fill bigger one with smaller one?

12l It is filled in times
2l with jug.

Mathematics 2 Approved by CDC 15

v

4. How much litres of water is contained in bigger one?

1 litres

20 times is needed to fill jar.

Jar It contains litres of water.

50 times is needed to fill tank.

Tank 20 litres It contains litres of water.

5. Match the following.

a) 2 litres 20000 ml

b) 4000 ml 1000 ml

c) 20 litres 2000 ml

d) 4000 ml 4 litres

e) 1 litre 40 litres

16 Approved by CDC Mathematics 2

v

2Unit

MY DAILY LIFE

Estimated periods - 6

Objectives
At the end of this unit, students will be able to:

tell the time in term of quarter past, half past and quarter to.
tell the relationship between days and weeks, days and months,
months and years.
get information from calendar and tell dates.

Teaching Materials
Watch, wall/table clock, model clock, calendar/school calendar.

Activities

It is better to:
show model clock or real watch and clock, and discuss about telling
time with students.
show the calendar of a whole year along with the a calendar of
particular month and ask and discuss about days, weeks, months
and years.
ask students to demonstrate the activities related to these lessons
suggested in the curriculum.

Mathematics 2 Approved by CDC 17

(Tring tring)2, It's 6 o'clock.
It's time to wake up.

(Tring tring)2, It's 7 o'clock.
It's time of breakfast.

(Tring tring)2, It's 8 o'clock.
It's time of homework.

(Tring tring)2, It's 9 o'clock.
It's time of school.

(Tring tring)2, It alrams.
To feel the routine of everyones.

18 Approved by CDC Mathematics 2

2.1 Time

It takes an hour for the fine
sand to flow to the lower

section of an HOURGLASS.

See, feel and learn.

Time for daily activities of Pemba.

Pemba wake up at 7 o'clock. Pemba takes breakfast at 8 o'clock.

11 12 1 11 12 1
10 2 10 2

93 93

84 84
765 765

Pemba go to school at 9 o'clock. Pemba takes lunch at 11 o'clock.

11 12 1 11 12 1
10 2 10 2
93 93
84 84

765 765

Mathematics 2 Approved by CDC 19

Pemba plays on the ground at Pemba leaves school at
1 o'clock. 3:30 o'clock.

11 12 1 11 12 1
10 2 10 2
93 93
84 84

765 765

Pemba takes tiffin at home at Pemba do homework at
4:30 o'clock. 5:30 o'clock.

11 12 1 11 12 1
10 2 10 2
9 3 9 3

84 84
765 765

Pemba takes dinner at Pemba watch T.V. at
7:00 o'clock. 7:30 o'clock.

11 12 1 11 12 1
10 2 10 2
93 93
84 84

765 765

Pemba goes to bed at
8:30 o'clock.

11 12 1
10 2
93

84
765

20 Approved by CDC Mathematics 2

See, feel and learn.

11 12 1 For the hour hand,
10 2 the numbers on the dial of the clock indicate hours.
12 is also the position of 0.
93 Starting position for 0 and final position for 12.
The hour hand makes one complete rotation in 12 hours.
84
765

For the minute hand, the numbers on the dial are 5 50 55 60 5
times the corresponding number. 11 12 1 2 10

Minute hand at 1 shows 5 minutes has passed. 10 3 15

The minute hand makes one complete rotation in 60 45 9
minutes.
40 8 7 6 5 4 20
35 30 25

The minute hand at 2 shows 10 minutes passed.
The minute hand at 3 shows 15 minutes passed.
The minute hand at 4 shows 20 minutes passed.
And so on

11 12 1 When the minute hand makes a rotation, the hour hand
10 2 moves from 0 to 1.
So, 60 minutes = 1 hour.
93 The hour hand rotates twice in a day and night period.
So, 1 day = 24 hours.
84
765

A day has bright part for 12 hours and dark part for 12 hours.

The minute hand of the clock is at 12 and hour hand is at 7. 11 12 1
It is 7 o’clock. It is written as 7:00. 10 2

93

84
765

11 12 1 The minute hand of the clock is at 3 and the hour hand has
10 2 just crossed 7.
So, it is 15 minutes passed 7 or a quarter past 7. It is written
93 as 7:15.

84
765

Mathematics 2 Approved by CDC 21

The minute hand is at 6 and the hour hand is in between 11 12 1
7 and 8. So it is 30 minutes past 7 or half past 7. It is 10 2
written as 7 :30.
93

84
765

11 12 1 The minute hand is at 9 and the hour hand is about to
10 2 reach 8. So the time is 45 minutes past 7 or a quarter to
8. It is written as 7:45.
93

84
765

See, feel and do.

1. Write the time as quarter past or half past or quarter to.

8:30 = Half past 8 6:15 =
1:45 = 4:45 =
2:15 = 10:30 =

2. Match the correct time:

11 12 1 10:30
10 2 8:15
1:15
93 4:00
5:45
84
765

11 12 1
10 2

93

84
765

11 12 1
10 2

93

84
765

11 12 1
10 2
9 3

84
765

11 12 1
10 2

93

84
765

22 Approved by CDC Mathematics 2

3. Draw the minute hand and hour hand at their correct position
to tell the given time.

11 12 1 11 12 1 11 12 1 11 12 1
10 2 10 2 10 2 10 2
93 93 93 93
84 84 84 84

765 765 765 765

10:00 9:30 6:00 5:15

11 12 1 11 12 1 11 12 1 11 12 1
10 2 10 2 10 2 10 2
93 93 93 93
84 84 84 84

765 765 765 765

11:30 3:45 11:45 12:15

4. Draw the minute hand and hour hand on their correct positions
to show the given time.

11 12 1 11 12 1 11 12 1
10 2 10 2 10 2

93 93 93

84 84 84
765 765 765

Quarter past 2 Half past 2 Quarter to 7

11 12 1 11 12 1 11 12 1
10 2 10 2 10 2

93 93 93

84 84 84
765 765 765

Half past 10 Quarter to 3 Quarter past 9

Mathematics 2 Approved by CDC 23

5. Observe the clocks and write the correct time in the boxes:

11 12 1 11 12 1 11 12 1 11 12 1
10 2 10 2 10 2 10 2
93
84 93 93 93

765 84 84 84
765 765 765
2:15

6. Draw the hands of the clock telling the following time.

11 12 1 11 12 1 11 12 1 11 12 1
10 2 10 2 10 2 10 2

93 93 93 93

84 84 84 84
765 765 765 765

12:15 5:45 8:30 2:15

7. Give the time and draw the hands of the clock for your daily
time table.

11 12 1 11 12 1
10 2 10 2

93 93

84 84
765 765

Get up at Eat breakfast at

11 12 1 11 12 1
10 2 10 2
93
93 84

84 765
765

Watch TV at Do homework at

24 Approved by CDC Mathematics 2

11 12 1 11 12 1
10 2 10 2

93 93

84 84
765 765

Eat dinner at Go to school at

8. Complete the following:

a) 1 complete rotation of minute hand is minutes.

b) 1 complete rotation of hour hand is hours.

c) Minute hand has moved from 0 to 12 and made minutes.

d) Hour hand has moved from 0 to 1 and it has been hour.

e) Hour hand has moved from 0 to 2 and it has been hours.

2.2 Calander

See, feel and do.

1. Write the days of a week:

English Nepali (in Devenagari)

1. ______________________________________ != ______________________________________
@= ______________________________________
2. ______________________________________ #= ______________________________________
3. ______________________________________ $= ______________________________________
%= ______________________________________
4. ______________________________________ ^= ______________________________________
&= ______________________________________
5. ______________________________________

6. ______________________________________

7. ______________________________________

Mathematics 2 Approved by CDC 25

2. Fill the answer in the boxes:

a) is the first day of the week.

b) Third day of the week is .

c) is our weekly holiday.

d) comes just before Wednesday.

e) comes just after Friday.

f) comes between Sunday and Tuesday .

g) Saturday comes between and .

3. Write the months of a year.

English Nepali (in Devenagari)

1. ______________________________________ != ______________________________________
2. ______________________________________ @= ______________________________________
#= ______________________________________
3. ______________________________________ $= ______________________________________

4. ______________________________________ %= ______________________________________
5. ______________________________________
6. ______________________________________ ^= ______________________________________
&= ______________________________________
7. ______________________________________ *= ______________________________________
(= ______________________________________
8. ______________________________________ !)= ______________________________________

9. ______________________________________

10. ______________________________________

11. ______________________________________ !!= ______________________________________

12. ______________________________________ !@= ______________________________________

Generally 30 days = 1 month, 365 days = 1 year
12 months = 1 year

26 Approved by CDC Mathematics 2

4. Complete the following:

a) is the first Nepali month.

b) is the last Nepali month.

c) is the last English month.

d) Ashadh comes just after .

e) September comes just after .

f) comes just before Magh.

g) comes just before November.

h) Fourth Nepali month is .

i) Sixth English month is .

5. Study the given calendar of a month of ABC school and answer
the following questions.

efb| @)&* Aug./Sep. 2021 Activities:
6 – Inter house Nepali poem
cfO{ ;fd] d+un aw' ljlx zq' m zlg
recitation competition.
Sun Mon Tue Wed Thu Fri Sat 7 – Parent-teacher meeting.
9 – Inter house Nepali debate
!@#$%
17 18 19 20 21 contest.
11 – Second unit test begins.
^ & * ( !) !! !@ 14 – Children’s day
22 23 24 25 26 27 28
Holidays:
!# !$ !% !^ !& !* !( 18 – Rakshya Bandhan.
29 30 31 1 2 3 4 19 – Gai jatra
25 – Krishna ashthami
@) @! @@ @# @$ @% @^ 04 – Teej
5 6 7 8 9 10 11 06 – Rishi panchami
15 - Indra Jatra
@& @* @( #) #!
12 13 14 15 16

a) Which calendar is it Nepali/English ?
b) Which calendar does your school follow?
c) When is the Inter house Nepali poem recitation competition?

d) What occasion is on 25/08/2016?
e) When is the festival of Teej ?
f) When is children’s day celebrated?

Mathematics 2 Approved by CDC 27

Nepali Calendar 2078

az} fv @)&* Apr/May 2021 h]i7 @)&* May/June 2021 cfiff9 @)&* June/July 2021

cfO{ ;fd] du+ n a'w ljlx z'qm zlg cfO{ ;f]d d+un aw' ljlx z'qm zlg cfO{ ;f]d du+ n aw' ljlx z'qm zlg

Sun Mon Tue Wed Thu Fri Sat Sun Mon Tue Wed Thu Fri Sat Sun Mon Tue Wed Thu Fri Sat

!@#$ #) #! ! !@#$%
14 15 16 17 13 14 15 15 16 17 18 19

% ^ & * ( !) !! @#$%^&* ^ & * ( !) !! !@
18 19 20 21 22 23 24 16 17 18 19 20 21 22 20 21 22 23 24 25 26

!@ !# !$ !% !^ !& !* ( !) !! !@ !# !$ !% !# !$ !% !^ !& !* !(
25 26 27 28 29 30 1 23 24 25 26 27 28 29 27 28 29 30 1 2 3

!( @) @! @@ @# @$ @% !^ !& !* !( @) @! @@ @) @! @@ @# @$ @% @^
2345678 30 31 1 2 3 4 5 4 5 6 7 8 9 10

@^ @& @* @( #) #! @# @$ @% @^ @& @* @( @& @* @( #) #!
9 10 11 12 13 14 6 7 8 9 10 11 12 11 12 13 14 15

>fj0f @)&* July/Aug. 2021 efb| @)&* Aug./Sep. 2021 cflZjg @)&* Sep./Oct. 2021

cfO{ ;fd] du+ n a'w ljlx zq' m zlg cfO{ ;fd] d+un aw' ljlx z'qm zlg cfO{ ;fd] du+ n aw' ljlx z'qm zlg

Sun Mon Tue Wed Thu Fri Sat Sun Mon Tue Wed Thu Fri Sat Sun Mon Tue Wed Thu Fri Sat

#! #@ !@ !@#$% #! ! @
15 16 16 17 17 18 19 20 21 17 17 18

#$%^&*( ^ & * ( !) !! !@ #$%^&*(
18 19 20 21 22 23 24 22 23 24 25 26 27 28 19 20 21 22 23 24 25

!) !! !@ !# !$ !% !^ !# !$ !% !^ !& !* !( !) !! !@ !# !$ !% !^
25 26 27 28 29 30 31 29 30 31 1 2 3 4 26 27 28 29 30 1 2

!& !* !( @) @! @@ @# @) @! @@ @# @$ @% @^ !& !* !( @) @! @@ @#
1234567 5 6 7 8 9 10 11 3456789

@$ @% @^ @& @* @( #) @& @* @( #) #! @$ @% @^ @& @* @( #)
8 9 10 11 12 13 14 12 13 14 15 16 10 11 12 13 14 15 16

sflQs{ @)&* Oct./Nov. 2021 dl+ ;/ @)&* Nov./Dec 2021 kfi} f @)&* Dec. 2021/Jan 2022

cfO{ ;f]d du+ n a'w ljlx z'qm zlg cfO{ ;fd] d+un a'w ljlx z'qm zlg cfO{ ;f]d d+un aw' ljlx z'qm zlg

Sun Mon Tue Wed Thu Fri Sat Sun Mon Tue Wed Thu Fri Sat Sun Mon Tue Wed Thu Fri Sat

!@#$%^ !@#$ !@#
18 19 20 21 22 23 17 18 19 20 16 17 18

& * ( !) !! !@ !# % ^ & * ( !) !! $ % ^ & * ( !)
24 25 26 27 28 29 30 21 22 23 24 25 26 27 19 20 21 22 23 24 25

!$ !% !^ !& !* !( @) !@ !# !$ !% !^ !& !* !! !@ !# !$ !% !^ !&
31 1 2 3 4 5 6 28 29 30 1 2 3 4 26 27 28 29 30 31 1

@! @@ @# @$ @% @^ @& !( @) @! @@ @# @$ @% !* !( @) @! @@ @# @$
7 8 9 10 11 12 13 5 6 7 8 9 10 11 2345678

@* @( #) @^ @& @* @( @% @^ @& @* @( #)
14 15 16 12 13 14 15 9 10 11 12 13 14

df3 @)&* Jan./Feb. 2022 kmfNug' @)&* Feb./Mar. 2022 rq} @)&* Mar./Apr. 2022

cfO{ ;fd] du+ n a'w ljlx z'qm zlg cfO{ ;f]d du+ n a'w ljlx z'qm zlg cfO{ ;fd] d+un aw' ljlx z'qm zlg

Sun Mon Tue Wed Thu Fri Sat Sun Mon Tue Wed Thu Fri Sat Sun Mon Tue Wed Thu Fri Sat

! !@#$%^& !@#$%
15 13 14 15 16 17 18 19 15 16 17 18 19

@#$%^&* * ( !) !! !@ !# !$ ^ & * ( !) !! !@
16 17 18 19 20 21 22 20 21 22 23 24 25 26 20 21 22 23 24 25 26

( !) !! !@ !# !$ !% !% !^ !& !* !( @) @! !# !$ !% !^ !& !* !(
23 24 25 26 27 28 29 27 28 1 2 3 4 5 27 28 29 30 31 1 2

!^ !& !* !( @) @! @@ @@ @# @$ @% @^ @& @* @) @! @@ @# @$ @% @^
30 31 1 2 3 4 5 6 7 8 9 10 11 12 3456789

@# @$ @% @^ @& @* @( @( #) @& @* @( #)
6 7 8 9 10 11 12 13 14 10 11 12 13

28 Approved by CDC Mathematics 2

See, feel and do.

1. Study the above Nepali calendar and answer the following:
a) Which year is this?

b) In which month/months of the English calendar does the month
of Baishakh fall in?

c) In which month/months of the Nepali calendar does the English
month January fall in?

d) Which month has the most number of days?

e) What day is the first of Baishakh?

2. Study the above calendar and complete the boxes:

a) What day is the first of January?

b) How many Sundays are there in February?

c) How many days are there in January?

d) What day is the 25th of March?

e) Which year is this?

f) What is the last day of this year?

g) Which month has the least number of days?

h) How many Saturdays are there in this year?


Mathematics 2 Approved by CDC 29

3. Study the folowing calendar and complete the boxes:

az} fv @)&* Apr/May 2021

cfO{ ;f]d du+ n aw' ljlx zq' m zlg

Sun Mon Tue Wed Thu Fri Sat

!@#$
14 15 16 17

% ^ & * ( !) !!
18 19 20 21 22 23 24

!@ !# !$ !% !^ !& !*
25 26 27 28 29 30 1

!( @) @! @@ @# @$ @%
2345678

@^ @& @* @( #) #!
9 10 11 12 13 14

• Which year represent the calendar?

• Which month is given in calender?

• How many days are there in the month?

• Which day is celebrating as New year?

• Which dates are there Saturday in this month?

Writing dates The date is B.S. 2067 Jesth,
We write year, month and Seventh
day to write date in Nepali
system as 2067/02/07

To write date in American The date is May 20th
system, we write month, 1962 A.D.
day and year. 05/20/1962

But in British system we write day, month and year Mathematics 2
20/05/1962

30 Approved by CDC

4. Write the date in short form: 2010 May 10
2008 March 25
2067 Ashadh 20 2009 June 05
2050 Chaitra 23
2060 Falgun 15

See, feel and learn.

How many months How many
are there in 2 years? days are there
in 3 months?
12
×2 30
2 4 months ×3
9 0 days

7. Complete the following:

How many months 1 year = 12 months

are there in 2 years? 12

×2

∴ There are 24 months in 2 years. =24

How many months 1 year = 12 months
are there in 3 years?
12
×3

∴ There are months in 3 years.

Mathematics 2 Approved by CDC 31

How many days are 1 months = 30 days
there in 4 months?
30
×4

∴ There are days in 4 months.

Unit Revision Sheet

1. Answer the following:

a) Which is the 4th day of the week?
b) Which day comes just after Saturday?
c) Which month comes just before Kartik?
d) How many months are there in a year?
e) Which month/months of the Nepali calendar does the first month

of the English calendar fall?
f) Write your date of birth in Nepali.

2. Calculate and complete the following:

1 week = 7 days 7 1 month = days ×
So, 7 weeks = × 7 
days So, 2 months = days

Year = 12 months × 1 week = days ×

So, 4 years = months So, 3 weeks = days

Year = 12 months × 1 week = days ×

So, 4 years = months So, 3 weeks = days

32 Approved by CDC Mathematics 2

3. Complete the following:

a) The minute hand is at 3 and the hour hand has 11 12 1
10 2
just crossed 2. It is past . 93
84
The time is .
765
b) The minute hand is at 9 and the hour hand is
11 12 1
near to 5. So, the time is . 10 2
93
It is to . 84

765

c) The minute hand is at 6 and the hour hand is 11 12 1
10 2
between 1 and 2. So the time is .
93
It is past .
84
765

4. Draw the hands of the clock to describe the following time.

11 12 1 11 12 1 11 12 1 11 12 1
10 2 10 2 10 2 10 2

93 93 93 93

84 84 84 84
765 765 765 765

3:30 7:15 Half past 3 Quarter to 5

5. Watch and study your birth month of the year 2078 and answer
the following questions.

a) This is the month of the year .

b) How many Saturdays are there in this month?

c) Which is the last day of this month?

d) Which day is there in the date of 15th of this month?

e) How many days are there in this month?

Mathematics 2 Approved by CDC 33

6. Study the month of Aswin of the year 2078 and complete the
given table as shown in example.

S.No. Name of Festivals Date

1. Indra Jatra 3rd Aswin 2078

2.

3.

4.

5.

7. Study the school calendar of your school and complete the
table given below.

S.No. Festivals Date

1. Dashain Festival

2. Tihar Festival

3. Winter Vaccation

4. Total Holidays

5. School Day

6. Final Term Exam

34 Approved by CDC Mathematics 2

3Unit

KNOWLEDGE OF NUMBERS

Estimated periods - 18

Objectives
At the end of this unit, the students will be able to:

read, write, count and recognize three digit numbers in numerals
and in words including devanagari numerials.
read, write, count and recognize four digit numbers in numerals and
in words.
represent three digit numbers and four digit numbers in place value
table and recognize and tell the place value of the digits.
write the formation of numbers of three digits and comparing the
numbers.

Teaching Materials
Charts with the numbers written from 1 to 1000, abacus, place value
table, etc.

Activities

It is better to:
help to differentiate a digit and a number.
use the number chart of 1 to 1000, to help the students count, read
and write.
use place value table to help students tell the place value of the
digits used.
use the position of numbers in there formation which helps to
compare them.

Mathematics 2 Approved by CDC 35

How many digits are there in number plate?
(There are 3 digits)2 in number plate.

How many digits are there in 100 rupees note?
(There are 3 digits)2 in 100 rupees note.

How many digits are there in the trailer?
(There are 3 digits)2 in the trailer.

How many digits are there in the ticket?
(There are 3 digits)2 in the ticket.

36 Approved by CDC Mathematics 2

3.1 Devanagari Numerials

Hindu Devanagari Nepali Hindu Devanagari Nepali
Arabic words Arabic words
!
1 @ Ps 24 @$ rfa} L;
2 # bO' { 25
3 $ tLg 26 @% kRrL;
4 % rf/ 27
5 ^ kfrF 28 @^ 5AaL;
6 & 5 29
7 * ;ft 30 @& ;QfO;
8 ( cf7 31
9 !) gf} 32 @* c7\7fO;
10 !! bz 33
11 !@ P3f/ 34 @( pgGtL;
12 !# afx| 35
13 !$ t]x| 36 #) tL;
14 !% rfw} 37
15 !^ kGw| 38 #! PstL;
16 !& ;f]x| 39
17 !* ;q 40 #@ aQL;
18 !( c7f/ 41
19 @) pGgfO; 42 ## tQ] L;
20 @! aL; 43
21 @@ PSsfO; 44 #$ rf}+lt;
22 @# afO; 45
23 t]O; 46 #% k}l+ t;

#^ 5QL;

#& ;}+tL;

#* c7t\ L;

#( pgGrfnL;

$) rfnL;

$! PsrfnL;

$@ aofnL;

$# lqrfnL;

$$ rjfnL;

$% k}+tfnL;

$^ 5ofnL;

Mathematics 2 Approved by CDC 37

Hindu Devanagari Nepali Hindu Devanagari Nepali
Arabic words Arabic words
$& &$
47 $* ;t\rfnL; 74 &% rf}xQ/
48 $( c7\rfnL; 75 &^ krxQ/
49 %) pgGkrf; 76 && 5oxQ/
50 %! 77 &* ;txQ/
51 %@ krf; 78 &( c7xQ/
52 %# PsfpGg 79 *) pgf;L
53 %$ afpGg 80 *! c:;L
54 %% lqkGg 81 *@ Psf;L
55 %^ rfj} Gg 82 *# aof;L
56 %& krkGg 83 *$ lqof;L
57 %* 5kGg 84 *% rf/} f;L
58 %( ;GtfpGg 85 *^ krf;L
59 ^) cG7fpGg 86 *& 5of;L
60 ^! pgG;f7L 87 ** ;tf;L
61 ^@ 88 *( c7f;L
62 ^# ;f7L 89 () pgfGgAa]
63 ^$ Ps;¶L 90 (!
64 ^% a;} ¶L 91 (@ gAa]
65 ^^ lq;¶L 92 (# PsfgAa]
66 ^& rf};¶L 93 ($ aofgAa]
67 ^* k;+} ¶L 94 (% lqofgAa]
68 ^( 5};¶L 95 (^ rf/} fgAa]
69 &) ;t;¶L 96 (& kGrfgAa]
70 &! c7;¶L 97 (* 5ofgAa]
71 &@ pgG;Q/L 98 (( ;GtfgAa]
72 &# ;Q/L 99 !)) cG7fgAa]
73 PsxQ/ 100 pgfgzo
axQ/ Ps ;o
lqxQ/

38 Approved by CDC Mathematics 2

x]/, k9 / l;s

!= tflnsf cWoog u/]/ cs+ / cIf/df nV] gx' f];\ .

;o bz Ps = !)! ;o bz Ps =
! ) ! = Ps ;o Ps @ # $=

;o bz Ps = !)! ;o bz Ps =
# % @ = Ps ;o Ps ^ * (=

;o bz Ps = !)! ;o bz Ps =
^ $ & = Ps ;o Ps $ ( ^=

@= tnsf c+snfO{ cIf/df n]Vgx' f];\ .

#)% $!%
&** &$%
(^$ %@&

#= tnsf cIf/nfO{ ;V+ ofdf n]Vg'xf];\ .

;ft ;o 5ofln; bO' { ;o lqkGg
gf} ;o 5lAa; ;ft ;o la;
kfFr ;o ;GtfpGg Ps xhf/

$= hf]8f ldnfpg'xf;] \ . (@(
rf/ ;o b;

kfFr ;o ;f7L *^&

gf} ;o pgGtL; $!)

cf7 ;o ;Q;7L %^)

Mathematics 2 Approved by CDC 39

3.2 Concept of Place Value

Can you tell the digits used
in the number 129?

Can you write 129 The digits used in the
in expanded form? number 129 are 1, 2

and 9.

Yes we write it as:
129 = 1 hundred
+ 2 tens + 9 ones

What is the place value of 1 in 129?
What is the place value of 2 in 129

and
What is the place value of 9 in 129?

Sorry sir, I don’t
know.

The place value
of 1 in 129 is 1 hundred that is 100.
The place value of 2 in 129 is 2 tens

that is 20.The place value of 9 in
129 is 9 ones that is 9.

Thank you sir.

In the number 197, the digits are 1, 9 and 7.
In expanded form, 197 = 1 hundred + 9 tens + 7 ones
The place value of 1 is 1 hundred, the place value of 9 is 9

tens and the place value of 7 is 7 ones in 197.

40 Approved by CDC Mathematics 2

Similarly,
in the number 125, the digits are 1, 2 and 5.

Let’s write it in the expanded form.
125 = 1 hundred + 2 tens + 5 ones
So, the place value of 1 is 1 hundred, the place value of 2 is
2 tens and the place value of 5 is 5 ones.

See, feel and learn.

Hundred Tens Ones

10 10 10
rooms rooms rooms

I have taken one I have taken four I have taken seven

room. rooms. rooms.

One hundred + four tens + seven

100 + 40 + 7 = 147

10 10 10
rooms rooms rooms

I have taken two I have taken five I have taken three

rooms. rooms. rooms.
two hundred + five tens + three

200 + 50 + 3 = 253

Mathematics 2 Approved by CDC 41

See, feel and learn.

Colour the rooms according to place value of given number.

Hundred Tens Ones
1 ones
= 321

3 hundred 2 tens

Hundred Tens Ones
5 ones
=

1 hundred 1 tens

Hundred Tens Ones
2 ones
=

3 hundred 5 tens

Hundred Tens Ones

4 hundred =

42 9 tens 6 ones

Approved by CDC Mathematics 2

Hundred Tens Ones
1 ones
=

8 hundred 7 tens

Hundred Tens Ones
9 ones
=

2 hundred 3 tens

Hundred Tens Ones
7 ones
=

6 hundred 5 tens

Hundred Tens Ones

9 hundred 8 tens 7 ones =

Mathematics 2 Approved by CDC 43

3.3 Three Digit Numbers

Numbers from 101 to 200

See, feel and learn.

10 ones is equal to 1 ten

10 tens is equal to 1 hundred

What numbers are shown in the abacus?

Hundred Tens Ones

The digit in ones place is 1,
the digit in tens place is 0 and
the digit in hundred place is 1, so

the number is 101.

1 01 Hindu Arabic One hundred and one
101
Devnagari Ps ;o Ps

44 Approved by CDC Mathematics 2

Hundred Tens Ones The digit in ones place is 2,
the digit in tens place is 0 and the

digit in hundred place is 1. So,
the number is 102.

1 0 2 Hindu Arabic One hundred and two

102 Devnagari Ps ;o b'O{

Hundred Tens Ones The digit in ones place is 3,
the digit in tens place is 0 and
the digit in hundred place is 1, so

the number is 103.

1 0 3 Hindu Arabic One hundred and three

103 Devnagari Ps ;o tLg

Hundred Tens Ones The digit in ones place is 4,
the digit in tens place is 0 and
the digit in hundred place is 1, so

the number is 104.

1 0 4 Hindu Arabic One hundred and four

104 Devnagari Ps ;o rf/

Hundred Tens Ones The digit in ones place is 5,
the digit in tens place is 0 and the

digit in hundred place is 1. So,
the number is 105.

1 0 5 Hindu Arabic One hundred and five

105 Devnagari Ps ;o kfFr

Mathematics 2 Approved by CDC 45

Hundred Tens Ones The digit in ones place is 6,
the digit in tens place is 0 and
10
106 the digit in hundred place is 1, so

the number is 106.

6 Hindu Arabic One hundred and six

Devnagari Ps ;o 5

Hundred Tens Ones The digit in ones place is 7,
the digit in tens place is 0 and
10
107 the digit in hundred place is 1, so
the number is 107.

7 Hindu Arabic One hundred and seven

Devnagari Ps ;o ;ft

Hundred Tens Ones The digit in ones place is 8,
the digit in tens place is 0 and the
10 digit in hundred place is 1. So,
108 the number is 108.

8 Hindu Arabic One hundred and eight

Devnagari Ps ;o cf7

Hundred Tens Ones The digit in ones place is 9,
the digit in tens place is 0 and
10
109 the digit in hundred place is 1, so
the number is 109.
46
9 Hindu Arabic One hundred and nine

Devnagari Ps ;o gf}

Approved by CDC Mathematics 2

Hundred Tens Ones The digit in ones place is 0,
10 the digit in tens place is 1 and
1 the digit in hundred place is 1, so
110
the number is 110.

Hindu Arabic One hundred and ten

Devnagari Ps ;o bz

Hundred Tens Ones The digit in ones place is 9,
59 the digit in tens place is 5 and
1 the digit in hundred place is 1, so
159
the number is 159.

Hindu Arabic One hundred and fifity nine

Devnagari Ps ;o pgfG;f7L

Hundred Tens Ones The digit in ones place is 8,
78 the digit in tens place is 7 and the
1
178 digit in hundred place is 1. So,
the number is 178.

Hindu Arabic One hundred and seventy eight

Devnagari Ps ;o c7xQ/

Hundred Tens Ones The digit in ones place is 0,
00 the digit in tens place is 0 and
2 the digit in hundred place is 2, so
200
the number is 200.

Hindu Arabic Two hundred

Devnagari bO' { ;o

Mathematics 2 Approved by CDC 47

See, feel and do.

A. Observe the given abacus and fill the boxes as given in the
example.

a Hundred Tens Ones

One hundred and five

Ps ;o kfFr

1 05 105

b Hundred Tens Ones

c Hundred Tens Ones

d Hundred Tens Ones

48 Approved by CDC Mathematics 2

e Ones

Hundred Tens

f Ones

Hundred Tens

g Hundred Tens Ones

h Hundred Tens Ones

Mathematics 2 Approved by CDC 49

i Hundred Tens Ones

j Hundred Tens Ones
k Hundred Tens Ones

Hundred Tens Ones
l

50 Approved by CDC Mathematics 2