Vedanta Excel in Mathematics - 2 Final (2078)

More Division

1. Let's rewrite these division in another way and find the quotient.

48 ÷ 6 = 8 6 48 8 63 ÷ 9 = 7 9 63 7
a) 12 ÷ 4 = –48 b) 15 ÷ 3 = –63
0 0

4 12 3 15

c) 24 ÷ 8 = 8 24 d) 28 ÷ 7 = 7 28

e) 35 ÷ 5 = 35 f) 56 ÷ 8 = 56

g) 63 ÷ 7 = 63 h) 72 ÷ 9 = 72

2. Let’s divide and find the quotient as quickly as possible.

a) 3 12 4 b) 2 14 c) 4 16 d) 5 30
–12
0

e) 6 36 f) 7 42 g) 8 72 h) 9 90

i) 3 21 j) 5 45 k) 9 63 l) 8 32

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More Division

1-digit divisor and 2-digit dividend
Let’s divide by using tens and ones blocks.

24 ÷ 2 o = 36 ÷ 2 o =

2 tens 4 ones ÷ 2 = 1 ten 2 ones 3 tens 6 ones ÷ 2 = 1 ten 8 ones

2 24 1 2 24 1 2 24 12 2 36 1 2 36 1 2 36 18
2 –2p 2 –2p
04 16
4 16
0 0

Let’s divide 36 by 3. Divide Multiply Subtract Bring down
TO and divide
36 = 3 tens + 6 ones TO TO
3 tens ÷ 3 = 1 ten 3 36 1 TO
6 ones ÷ 3 = 2 ones 3 36 1 3 361
3 –3 3 3 6 12
0 –3p
06
–6
0

Let’s divide 92 by 4.

92 = 9 tens + 2 ones Bring down
and divide
9 tens ÷ 4 = 2 tens Divide Multiply Subtract
and remainder 1 ten TO TO TO
TO
4 92 2 4 92 2 4 9 2 23
8 4 922 –8p
1 ten + 2 ones = 12 ones –8 12
152 1 –12
12 ones ÷ 4 = 3 ones 0

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More Division

1. Let’s divide and find quotient as quickly as possible.

2 22 11 a) 2 26 b) 2 28
–2
02
–2
0

quotient is 11. quotient is quotient is

c) 3 33 d) 3 36 e) 3 39

quotient is quotient is quotient is

f) 4 48 g) 5 55 h) 2 32

quotient is quotient is quotient is

i) 2 34 j) 3 42 k) 5 75

quotient is quotient is quotient is

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More Division

2. Let’s divide and find quotient as quickly as possible.

4 96 24 2 64 32 a) 3 51
–8 –6
16 04
–16 –4
0 0

quotient is 24. quotient is 32. quotient is

b) 3 63 c) 3 72 d) 3 96

quotient is quotient is quotient is

e) 4 64 f) 4 76 g) 4 92

quotient is quotient is quotient is

h) 5 60 i) 5 70 j) 6 84

quotient is quotient is quotient is
154
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More Division 2 5 2 is quotient
–4
Division with Remainder 1 is remainder

Let’s divide 5 pencils equally to your 2 friends.
Each friend gets 2 pencils and 1 pencil is left to
divide. 1 pencil is remained to divide. 1 pencil
is the remainder.

Again, let’s divide 8 marbles equally to your 3 friends. 3 8 2 is quotient
Each friend gets 2 marbles and 2 –6
marbles are left to divide. 2 is remainder
So, 2 is the remainder.
1. Let’s divide and find quotient as quickly as possible.

a) Divide 3 apples equally between 2 friends.

Quotient is and remainder is

b) Divide 7 sweets equally between 3 kids.

Quotient is and remainder is

c) Divide 8 pencils equally between 3 friends.

Quotient is and remainder is

d) Divide 10 marbles equally between 4 friends.

Quotient is and remainder is

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More Division

Division with Remainder

Now, let’s divide 21 by 2

2 tens are divided by 2

= 1 ten is quotient 2 21 10
and 1 one is remainder –2
1 one 01
–0
1 is remainder

2. Let’s divide and find the quotient and remainder as quickly as possible.

a) 2 11 b) 2 17 c) 2 23

Quotient is Quotient is Quotient is
Remainder is Remainder is Remainder is

d) 3 32 e) 3 43 f) 4 42

Quotient is Quotient is Quotient is
Remainder is Remainder is Remainder is

g) 5 54 h) 5 67 i) 6 85

Quotient is Quotient is Quotient is
Remainder is Remainder is Remainder is

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More Division

Let’s use division in real life!

2. Read the problems carefully and answer them as quickly as possible.

a) You keep 48 marbles equally into 4 bags. 4 48
How many marbles are there in each bag?

There are marbles in each bag.

b) Teacher divides 63 students into
3 groups. How many students are there
in one group?

There are students in one group.

c) The cost of 5 biscuits is 85 rupees. What
is the cost of 1 biscuit?

The cost of 1 biscuit is rupees.

d) 7 children share 84 sweets equally among
them? How many sweets will each child
get?

Each child gets sweets.

e) Mother pays 96 rupees to buy 4 kg of
vegetable. What is the cost of 1 kg of
vegetable?

The cost of 1 kg of vegetable is
rupees.

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9Unit Fraction

Parts of a whole

This is one apple. It is a whole apple.
Mother cuts this whole apple into pieces. The pieces are
the parts of the whole apple.
A fraction shows the number of parts of a whole thing.

Half of a whole

Let’s read the story of half of a whole thing.

Mother has a bread. She wants to divide this bread
between me and my brother. So, she cuts and divides it
into 2 equal parts . Then, she gives us one/one parts to
eat.
I eat half of the whole bread.
My brother also eats another half of the whole bread.

Our teacher divides a whole sheet of paper into 2 equal parts. She gives me one
part to colour.

I colour half of the whole sheet of paper.

A half of a water melon A half of a cucumber A half of a chocolatebar

We write half as 1 .
2

In 1 1 is the number of part taken (or eaten).
2 2 are the total number of parts of the whole.

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Fraction - Part of a Whole

1. Let’s colour half of the whole thing.

2. Let’s estimate which one is exactly half and tick (—) the half.

3. It’s your time! Let’s draw a dotted line to make these shapes half. Also
1
colour the half shape and write 2 in the blanks.

4. Let’s tell and write the answer as quickly as possible.

a) How many halves are there in 1 sheet of paper? halves

b) How many halves are there in 2 sheet of paper? halves

c) How many halves are there in 3 sheet of paper? halves

d) How many halves are there in 4 sheet of paper? halves

e) How many halves make a 'whole'? halves
Remember! 'Halves' is the plural of 'Half'.

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Fraction - Part of a Whole

Quarter of a whole
Father divides a whole apple into 2 halves.

Again, he divides each half into 2 equal pieces.
In this way, he divides the whole apple into 4
equal pieces.

Now, each piece of apple is one-fourth of the

whole apple.

We write one-fourth as 1 and it is also called
4
one-quarter.

We write two-fourth as 2 and it is also called two-quarters.
4

We write three-fourth as 3 and it is also called three-quarters.
4

1 Number of parts taken 3 Number of parts taken
4 Total number of parts 4 Total number of parts

1. Let’s colour and write the fractions.

One-quarter Two-quarters Three-quarters

1
4

2. It’s your time! Let’s draw dotted lines to divide these shapes and colour to
show the given fractions

12 3
44 4

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Fraction - Part of a Whole

3. Let’s shade the parts to show the given fractions. Also write the names
of the fractions in words.

a) 1 b) 2 c) 1 d) 3
2 4 4 4

Three-fourths
4. It’s your time! Let’s draw diagrams and divide into parts and shade the

parts to show the fractions.

1 13 2
4 24 4

The same rectangle is divided into different parts. Let’s write the fractions and
name of fractions shown by the shaded parts. Then compare the fractions.
a) 3 Three-fourths

4

b)

c)

d)

a) Which is the biggest fraction?

b) Which is the smallest fraction?

c) Which two are the equal fractions?

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Fraction - Part of a Whole

Third of a whole

Teacher divides a circular piece of paper into
3 equal parts. Then she asks me to colour 1 part.

I colour one-third part of the whole circular piece of

paper. 1
3
We write one-third as .

I got it!

Two -thirds parts are coloured. It’s 1
3
2
We write two-thirds as 2 . It’s 3
3

1. Let’s colour and write the fractions.

One -third Two -thirds

12
33

2. Let’s shade the parts to show the given fractions. Also write the names
of the fractions in words.

12 31
23 43

3. It’s your time! Let’s draw dotted lines to divide these shapes and colour
to show the given fractions

12
33

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Fraction - Part of a Whole

4. It’s your time! Let’s draw diagrams and divide them into parts and shade
the parts to show the fractions.

2 21 3
3 42 4

5. The same rectangle is divided into different parts. Let’s write the fractions and
the name of fractions shown by the shaded parts. Then compare the fractions.
a) 2 Two-thirds
3
b)

c)

d)
e)

f)

a) Which is the smallest fraction?

b) Which is the biggest fraction?

c) Which two are the equal fractions? and
is bigger.
d) Which one is bigger between 1 and 1 ? is smaller.
3 4
vedanta Excel in Mathematics - Book 2
e) Which one is smaller between 1 and 1 ?
2 3

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Fraction - Part of a Whole

Tenths of a whole

Let’s count the number of parts in the diagram. Then tell and write the answer as
quickly as possible.

In how many equal parts is the rectangle divided?
equal parts.

How many part of the rectangle is shaded? part is shaded.

What is the fraction of this shaded part?

One-tenth part is shaded. I got it!

We write one-tenth as 1 . 3 is three-tenths
10 10
4 is four-tenths
Two-tenths parts are shaded. a1n0d so on

We write two-tenths as 2 .
10

1. Let’s tell and write the fractions of the shaded parts.

2. Let’s shade the parts to show the fractions.

12 6 9
10 10 10 10

3. Let’s write the name of fractions in words.

a) 3 b) 5 c) 8
10 10 10

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Fraction - Part of a Whole

4. Let’s circle the fraction that represents the shaded parts of the whole.

a) b) c) d)

132 121 2 4 10 111
223 443 10 10 4 432

5. Let’s shade the parts of the whole to show the given fractions.

a) b) c) d) e)

21 17 3
43 2 10 4

6. Let’s tell and write the answer as quickly as possible.

a) Mother cuts a bread into 3 equal pieces and she gives you 2 pieces.

What fraction of the bread do you get?

b) Teacher cuts an apple into 4 equal pieces and she gives you
3 pieces.

What fraction of the apple do you get?

c) You cut a pizza into 10 equal pieces and you give 6 pieces to your friends.
What fraction of the pizza do your friends get?

7. Let’s make a whole! Circle the correct answer.

a) How many 1 make one whole? 12 3 4
2 3 4
3 4
b) How many 1 make one whole? 12 4 10
3

c) How many 1 make one whole? 12
4

d) How many 1 make one whole? 1 3
10

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Fraction - Part of a Whole

Half of a number of things
Let’s tell and write the answer as quickly as possible.

How many pencils are there?

How many pencils are of yellow colour?

How many pencils are of green colour?

Are yellow and green coloured pencils equal?

Well done!

There are 2 yellow coloured pencils. Half of 4 pencils = 2 yellow pencils.

There are 2 green coloured pencils. Half of 4 pencils = 2 green pencils.

We write half of 4 as 1 of 4.
2 2
1
2 of 4 = 4 ÷ 2 =

Half of 6 apples = 1 of 6 = 6 ÷ 2 = 3 apples are green.
2

Half of 6 apples = 1 of 6 = 6 ÷ 2 = 3 apples are red.
2

1. Let’s draw lines to divide the group of things into halves. Then, say and
write half of the number.

a) b) c) d)

1 of = 1 of = 1 of = 1 of =
2 2 2 2

2. Let’s colour half the number of circles. Then find the numbers.

a) b) c)

1 of = 1 of = 1 of =
2 2 166 2

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Fraction - Part of a Whole

3. Let’s draw half of the number of circles.

a) Half of 8 circles b) Half of 10 circles c) Half of 12 circles

4. Let's find half of the number of things.

2 2 1a)1of = ÷ pencil.
2 2 pencils = It’s easy!

b) 1 of 4 bananas = ÷ = bananas. 1 of 16 is
2 2
16 ÷ 2 = 8

c) 1 of 6 boys = ÷ = boys.
2

d) 1 of 14 girls = ÷ = girls.
2

e) 1 of 18 students = ÷ = students.
2

5. Let’s say and write the answer as quickly as possible.

a) There are 10 girls in a class. Half of them are wearing ribbons. How many
girls are wearing ribbons?

1 of = girls are wearing ribbons.
2

b) There are 18 boys in a class. Half of them are wearing caps. How many
boys are wearing caps?

1 of = boys are wearing caps.
2

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Fraction - Part of a Whole

Thirds of a number of things

There are 6 fruits. 2 of them are apples.

One-third of 6 fruits are 2 apples.

One-third of 6 are 2.

1 of 6 = 6 ÷ 3 = 2.
3

These are 12 circles. 4 of them are blue.

One third of 12 circles are 4 blue circles.

One-third of 12 are 4.

1 of 12 = 12 ÷ 3 = 4
3

1. Let’s draw lines to divide the group of things into thirds. Then tell and
write one-third of the number.

a) b) c)

1 of = 1 of = 1 of =
3 3 3

2. Let’s colour one-third of the number of circles. Then find the number.

a) b) c)

1 of = 1 of = 1 of =
3 3 3

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Fraction - Part of a Whole

3. Let’s draw one-third of the number of circles.
a) One-third of 3 circles b) One-third of 9 circles c) One-third of 12 circles

4. Let’s find the one-third of the number of things.

1 of 3 pencils = 3 ÷ 3 = 1 pencils We got it!
3
1 of 18 is
1 of 6 mangoes = ÷ = mangoes 3
3 18 ÷ 3 = 6

1 of 9 birds = ÷ = birds
3

1 of 12 students = ÷ = students
3

1 of 15 animals = ÷ = animals
3

It’s your time!

5. Let’s write your number and find its one-third.

a) 1 b) 1 c) 1
3 3 3
of = of = of =

6. Let’s say and write the answer as quickly as possible.

a) A farmer has 15 domestic animals. One-third of them are cows.

How many cows are there? 1 of = cows
3

b) There are 27 students in grade 2. One-third of them are boys.

How many boys are there? 1 of = boys
3

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Fraction - Part of a Whole

Quarters of a number of things

There are 4 water animals. 1 of them is a ish.

One-quarter of 4 animals is 1 ish.

One-quarter of 4 is 1.

1 of 4 = 4 ÷ 4 = 1.
4

These are 12 marbles. 3 of them are red.

One-quarter of 12 marbles are 3 red marbles.

One-quarter of 12 are 3.

1 of 12 = 12 ÷ 4 = 3.
4

1. Let’s draw lines to divide the groups of things into quarters. Then say and
write one-quarter of the number.

a) b) c)

1 of = 1 of = 1 of =
4 4 4

2. Let’s colour one-quarter of the number of circles. Then find the number.

a) b) c)

1 of = 1 of = 1 of =
4 4 4

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Fraction - Part of a Whole

3. Let’s draw one-quarter of the number of circles.

One-quarter of 4 circles One-quarter of 8 circles One-quarter of 16 circles

4. Let’s find one-quarter of the number of things.

a) 1 of 4 books = ÷ =
4
Now, we can do it!
b) 1 of 8 balls = ÷ = 1 of 24 is 24 ÷ 4 = 6
4 4

c) 1 of 12 wild animals = ÷ =
4

d) 1 of 16 domestic animals = ÷ =
4

e) 1 of 20 vehicles = ÷ =
4

It’s your time!
5. Let’s write your number and find its one-quarter.

a) 1 b) 1 c) 1
4 4 4
of = of = of =

6. Let’s tell and write the answer as quickly as possible.

a) There are 20 lowering plants in a garden. One-quarter of them are rose

plants. How many rose plants are there? 1 of = rose plants.
4

b) A shopkeeper has 28 mobiles. One-quarter of them are iPhones. How

many iPhones are there in the shop? 1 of = iPhones.
4
vedanta Excel in Mathematics - Book 2
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Fraction - Part of a Whole

Bubbling Doubling!
7. Let’s write halves in smaller and doubles in bigger bubbles.

14 40 25 32 12

26 60 2 30 20
11

14

8
10

18

24

6 16 10

7
3
2
4 4

2

6 12

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Unit10 We and Our Daily Lives - 2

The calendar

Let's say the answers of the following questions.
a) What day is today?
b) What is the Nepali date today?
c) Which day is your weekly holiday?
d) Which is the Nepal month today?
e) What is this Nepali year?

Let's read the following Nepali calendar of the year 2078 B.S.

az} fv @)&* h7] @)&* c;f/ @)&*

cfOt{ af/ ;f]daf/ d+unaf/ aw' af/ laxlaf/ z'qmaf/ zlgaf/ cfO{taf/ ;f]daf/ du+ naf/ a'waf/ laxlaf/ z'qmaf/ zlgaf/ cfO{taf/ ;fd] af/ du+ naf/ a'waf/ laxlaf/ z'qmaf/ zlgaf/

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

!^ !& !* !( @) @! @@

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

;fpg @)&* ebf} @)&* c;fh] @)&*

cfOt{ af/ ;fd] af/ d+unaf/ aw' af/ laxlaf/ zq' maf/ zlgaf/ cfOt{ af/ ;fd] af/ du+ naf/ a'waf/ laxlaf/ zq' maf/ zlgaf/ cfO{taf/ ;fd] af/ du+ naf/ a'waf/ laxlaf/ zq' maf/ zlgaf/

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

!& !* !( @) @! @@ @#

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

sflt{s @)&* d+l;/ @)&* k'; @)&*

cfO{taf/ ;fd] af/ du+ naf/ a'waf/ laxlaf/ z'qmaf/ zlgaf/ cfOt{ af/ ;fd] af/ d+unaf/ a'waf/ laxlaf/ z'qmaf/ zlgaf/ cfOt{ af/ ;fd] af/ d+unaf/ aw' af/ laxlaf/ z'qmaf/ zlgaf/

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

df3 @)&* kmfu'g @)&* r}t @)&*

cfOt{ af/ ;fd] af/ du+ naf/ a'waf/ laxlaf/ zq' maf/ zlgaf/ cfO{taf/ ;f]daf/ du+ naf/ aw' af/ laxlaf/ z'qmaf/ zlgaf/ cfO{taf/ ;fd] af/ d+unaf/ a'waf/ laxlaf/ zq' maf/ zlgaf/

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

Approved by Curriculum Development Centre, Sanothimi, Bhaktapur 173 vedanta Excel in Mathematics - Book 2

We and Our Daily Lives - 2
The calendar

1. Let's say and write the answers of the following questions.

a) How many days are there are in a week?

b) How many days are there in Baisakh month?

c) How many Nepali months are of 30 days in the calendar?

d) How many months are there in one year?

e) In which month do you have your birthday?

f) On which day do you have your birthday in 2078?

2. Let's read the given English Calendar. January 2021 SAT
Say and write the answers of the
questions. SUN MON TUE WED THU FRI 2
9
a) Which is the English month in the 31 1 16
3 4 5 67 8 23
calendar? 10 11 12 13 14 15 30
17 18 19 20 21 22
b) Which is the year in the 24 25 26 27 28 29
calendar?

c) What is the day on 9th January?

d) How many Sundays are there in January?

3. Let's make the calendar of your Months........................... Year ............

birthday month of this Nepali year. cfO{taf/ ;f]daf/ d+unaf/ aw' af/ laxlaf/ z'qmaf/ zlgaf/

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We and Our Daily Lives - 2

Conversion of Time

There are 7 days in a week.
Sunday is the irst day and Saturday is the last day in Nepali Calendar.
Monday is the irst day and Sunday is the last day in English Calendar.

1. Let's say and write the answers of the following questions.

a) How many days are there in 1 week?

b) How many days are there in 2 weeks? 2 × 7 days =

c) How many days are there in 3 weeks? × days =

d) How many days are there in 4 weeks? × days =
2. How many weeks are there?

a) In 7 days = 7 ÷ 7 days = 1 week

b) In 14 days = 14 ÷ 7 days =

c) In 21 days = ÷ days =

d) In 28 days = ÷ days =

There are 12 months in a year.
Baisakh is the irst month and Chaitra is the last month in Nepali calendar.
January is the irst month and December is the last month in English calendar.

3. Let's say and write the answers of the following questions.
a) How many months are there in 1 year?

b) How many months are there in 2 years? 2 × 12 months =

c) How many months are there in 3 years? 3 × months =

d) How many months are there in 3 years? × months =

There are usually 30 days in a month.

4. How many days are there? =
a) In 2 months = 2 × 30 days

b) In 3 months = × days =

c) In 4 months = × days =

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We and Our Daily Lives - 2

Our Currency - Rupees and Paisa
Let's tell the answer of these questions as quickly as possible.
What do you need to pay to the shopkeeper to buy a biscuit?
What do you need to pay to buy a ticket for a bus?
What do your mother need to pay to buy your dresses?
What do your father need to pay to buy your school books?
Do you have money in your pockets now? How much?
Now, let's discuss with your friends why we need money.
Let's recognise these Nepali coins.

5 paisa 10 paisa 25 paisa 50 paisa 1 rupee 2 rupees 5 rupees

Let's recognise our Nepali notes.

rupees rupees rupees rupees

rupees rupees rupees

Do you know? We write 1 rupee as Re 1 and 5 rupees as Rs 5.
We write 10 rupees as Rs 10 , 20 rupees as Rs 20 and so on.

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We and Our Daily Lives - 2

Conversion of Money
1. Let's say and write how many rupees and how many paisa?

100 paisa make Re 1. 200 paisa make Rs 2.

300 paisa = Rs 400 paisa = Rs 500 paisa = Rs

600 paisa = Rs 700 paisa = Rs 800 paisa = Rs

Also, Rs 2 = paisa Rs 3 = paisa
Re 1 = 100 paisa

Rs 4 = paisa Rs 5 paisa Rs 6 = paisa

2. Now, let's convert paisa into rupees and paisa.

120 paisa = Re 1 and 20 paisa 250 paisa = Rs 2 and 50 paisa

345 paisa = Rs and paisa 580 paisa = Rs and paisa

630 paisa = Rs and paisa 755 paisa = Rs and paisa

3. Again, let's convert rupees and paisa into paisa.

Re 1 and 50 paisa = 150 paisa Rs 3 and 75 paisa = paisa

Rs 2 and 25 paisa = paisa Rs 4 and 40 paisa = paisa

Rs 5 and 30 paisa = paisa Rs 6 and 85 paisa = paisa

4. Do you know?
Rs 10.50 means Rs 10 and 50 paisa.

a) Rs 20.10 means Rs and paisa. I got it!
Rs 25 and 40 paisa is Rs 25.40!!
b) Rs 35.75 means Rs and paisa. Now, I can read the price of
goods in the shops!
c) Rs 50.80 means Rs and paisa.
177 vedanta Excel in Mathematics - Book 2
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We and Our Daily Lives - 2

5. How much money do you have?

I have Rs I have Rs I have Rs

I have Rs I have Rs I have Rs

6. Let's say and write the answer as quickly as possible.

2a) How many 5 rupees notes make a 10 rupees note?

b) How many 5 rupees notes make a 20 rupees note?

c) How many 5 rupees notes make a 50 rupees note?

d) How many 5 rupees notes make a 100 rupees note?

e) How many 10 rupees notes make a 20 rupees note?

f) How many 10 rupees notes make a 50 rupees note?

g) How many 10 rupees notes make a 100 rupees note?

h) How many 20 rupees notes make a 100 rupees note?

i) How many 50 rupees notes make a 100 rupees note?

j) How many 100 rupees notes make a 500 rupees note?

k) How many 100 rupees notes make a 1000 rupees note?

l) How many 500 rupees notes make a 1000 rupees note?

vedanta Excel in Mathematics - Book 2 178 Approved by Curriculum Development Centre, Sanothimi, Bhaktapur

We and Our Daily Lives - 2

Shopping Time!

Let's read the price list of these items.

Rs 60.30

Rs 150.20 Rs 40.50 Rs 710.15 Rs 300.40 Rs 430.60

1. Now, let's find how much money you need to pay to buy these items.

A toffee Rs 60.30 I understood!
and a book + Rs 150.20 Rs 60 and 30 paisa
I need to pay Rs 150 and 20 paisa
Rs 210.50 Rs 210 and 50 paisa

a) A toffee Rs 60.30 b) A story book Rs 150.20
and a watch + Rs 710.15
and an ice-cream + Rs 40.50

I need to pay I need to pay

c) A bag and Rs d) A bag and Rs
a story book + Rs
a pair of shoes + Rs

I need to pay I need to pay

e) A watch and Rs f) A pair of shoes and Rs
an ice-cream + Rs
a toffee + Rs

I need to pay I need to pay

g) A bag and Rs h) A story book and Rs
a toffee + Rs
an ice-cream + Rs

I need to pay I need to pay

Approved by Curriculum Development Centre, Sanothimi, Bhaktapur 179 vedanta Excel in Mathematics - Book 2

We and Our Daily Lives - 2

Shopping Time!
Let's read the price list of these items.

Rs 110 Rs 120 Rs 500 Rs 250 Rs 440

2. Now, let's start shopping! Rs 200
– Rs 110
a) You buy a box and you give Rs 200 to the
shopkeeper. How much change does the Rs
shopkeeper return you?

The shopkeeper returns me

b) You buy a plate of Mo:Mo and you give a 500 Rs 500
rupees note to the shopkeeper. How much – Rs 120
change does the shopkeeper return you?
Rs
The shopkeeper returns me

c) You give Rs 300 to the shopkeeper to buy a
packet of sweets. How much change do you get
from the shopkeeper?

I get

d) You give a 500 rupees note to the shopkeeper
to buy a cap. How much change do you get from
the shopkeeper?

I get

e) You give a 1000 rupees note to the shopkeeper
to buy a shirt. How much change do you get
from the shopkeeper?

I get 180 Approved by Curriculum Development Centre, Sanothimi, Bhaktapur

vedanta Excel in Mathematics - Book 2

Unit11 Geometry

Point and Line
Let's touch the tip of your pencil.

How do you feel it?

Now, let's press the tip of the pencil on
your inger slightly. What did you see on
the inger?

That's good! The tiny mark on your inger
is a point.

Let's use your pencil tip and make points in these boxes.

1 point 2 points 3 points 4 points Many points

Now, can you join the points and draw lines?
Let's mark a point in the box and name it 'A'.
Again, mark another point and name it 'B'.
Now, join the points A and B.
That's good! You draw a line AB.

Ax Ax xB Ax xB Ax xB Ax xB
Point A Point A and B Straight line AB Curved line AB Curved line AB

1. Let's join the points and draw lines.

a) x x Points A and B are joined. AB is a straight line.
A B

b) x x Point and are joined. is a straight line.
C D

c) x x Points and are joined. is a curved line.
P Q

d) x x and are joined. is a curved line.
X
Y Points

Approved by Curriculum Development Centre, Sanothimi, Bhaktapur 181 vedanta Excel in Mathematics - Book 2

Geometry - Point and Line

Vertical line, horizontal line and slanting line

2. Let's join the points to draw lines. Also name the lines.

A PQ

AB is a standing line. is a sleeping line.
It is called a horizontal line.
It is called a vertical line.

B

CM

is a slanting line. is also a slanting line.

D N

3. Let's draw a vertical line, a horizontal line and a slanting line in each box.

Vertical lines Horizontal lines Slanting lines

4. Let's say and write 'vertical', 'horizontal' or 'slanting' in the blank spaces.

AB is a line. A

BC is a line.

BC

PQ is a line. P
QR is a line.
PR is a line. QR

vedanta Excel in Mathematics - Book 2 182 Approved by Curriculum Development Centre, Sanothimi, Bhaktapur

Geometry - Point and Line

5. Let's say and write the names of vertical, horizontal and slanting lines in

these figures. A

is a vertical line.

is a horizontal line. B C
is a slanting line. P R

is a slanting line.

is a horizontal line. Q
is a vertical line. D

is a horizontal line.

is a slanting line. EF

6. Let's say and write the names of the points and names of the lines in these

figures. BC

A , B and C are the points.

AB is a vertical and BC is a horizontal lines.

A

, and are the points. P
R
is a horizontal line and are the slanting
lines.
Q

, , and are the points. AB

and are vertical lines. DC

and are horizontal lines. vedanta Excel in Mathematics - Book 2

Approved by Curriculum Development Centre, Sanothimi, Bhaktapur 183

Geometry - Plane Shapes

Circle,Triangle, Rectangle and Square
1. Let's match the shapes to the shape of the surface of the objects.

Let's count the different shapes in this
running train! Write the numbers in the
blanks.

==
==

2. Let's trace on the dotted lines and complete the cartoon drawings!

3. Let's say and write the shapes of the surfaces of these objects.

Circle 184 Approved by Curriculum Development Centre, Sanothimi, Bhaktapur

vedanta Excel in Mathematics - Book 2

Geometry - Plane Shapes

4. Let's trace the surface of these objects on a chart paper. Then say and
write the shapes you have drawn.

The surface of a match box. The surface of a bowl.

The surface of a hanger. The surface of a die.

Let's take 3 match sticks and make a triangle.
Let's take 4 match sticks and make a square.
Let's take 6 match sticks and make a rectangle.
Now, let's study about triangle, rectangle, square and circle.
5. Let's take the given number of match sticks and make the plane shapes.

Say and write the answers.

a) Let's take 3 match-sticks and make a triangle.

How many corners are made in a triangle?

Can you make a triangle with 2 matchsticks?

b) Let's take 4 matchsticks and make a square.

How many corners are made in a square?

Can you make a square with 3 matchsticks?

c) Let's take 6 matchsticks and make a rectangle.

How many corners are made in a rectangle?

Can you make a rectangle with 5 matchsticks?
6. Let's trace and draw the following shapes. Also, write the name of the

shapes.

Approved by Curriculum Development Centre, Sanothimi, Bhaktapur 185 vedanta Excel in Mathematics - Book 2

Geometry - Plane Shapes

C corner It is a triangle. It's shape is triangular.
side It has three corners: A, B and C are three corners.
It has three sides: AB, BC and CA are three sides.
AB It's name is a triangle ABC.

S R corner It is a rectangle. It's shape is rectangular.
It has 4 corners: P, Q, R and S are four corners.
P side It has 4 sides: PQ, QR, RS and SP are four sides.
Q It's name is rectangle PQRS.

H G corner It is a square. It's shape is square.
It has also 4 corners and 4 sides.
side E, F, G and H are the corners and EF, FG, GH and HE are the

EF sides. It's name is square EFGH.

It is a circle. It's shape is circular.
It does not have any corner and side.

1. Let's tell and write the corners, sides and name of the plane shapes.

R Corners are , and

Sides are , and

P Q Name of the triangle is

D C Corners are , , and

Sides are , , and

A B Name of the square is

N M Corners are , , and

Sides are , , and

K L Name of the rectangle is

Does it have any corner? Does it have any side?

The name of this shape is a

It's your time!
2. Let's search and name any one object of these shapes around you.

Triangular objects Rectangular objects

Square objects Circular objects

vedanta Excel in Mathematics - Book 2 186 Approved by Curriculum Development Centre, Sanothimi, Bhaktapur

Geometry - Solid Shapes

Cube, cuboid, sphere, cylinder and cone
1. Let's match the solid shapes to the similar objects.

Cube

Cuboid

Sphere

Cylinder

Cone

It's your Time!
2. Let's search and name any two objects of these shapes found in your

surroundings.

Approved by Curriculum Development Centre, Sanothimi, Bhaktapur 187 vedanta Excel in Mathematics - Book 2

Geometry - Solid Shapes

Drawing Time!
3. Let's trace on the dotted lines to draw shapes. Then name the shapes.

It is a It is a It is a

It is a It is a

Face , edge and corner of solid shapes

Let's tell and write how many faces, edges and corners these solid shapes
have.

A cube has faces. It has edges.
And it has corners.

A cuboid has faces. It has edges.
And it has corners.

A cylinder has faces and circular edges.

Does it have any corner?

A cone has faces and circular edges.
It has corners

Does a sphere have any face, edge and corner?

vedanta Excel in Mathematics - Book 2 188 Approved by Curriculum Development Centre, Sanothimi, Bhaktapur

Geometry - Solid Shapes

Quiz Time!

1. Let's tell who am I?

a) I have 6 faces, 12 edges and 8 corners. My all faces are squares.

I am a

b) I have also 6 faces, 12 edges and 8 corners. My faces are rectangles. I am
a

c) I have 1 circular face, 1 circular edge and 1 corner.

I am a

d) I don't have any face, edge and corner. I am a

e) I have 2 circular faces and 2 circular edges. I don't have any corner.

I am a

2. Now, let's write the shape of the following objects.

a marble a pencil

a book a die

a funnel a brick

3. It's your time! Let's write any 5 objects that you have seen. Then tell and
write the shapes of these objects.

Objects Shapes

Approved by Curriculum Development Centre, Sanothimi, Bhaktapur 189 vedanta Excel in Mathematics - Book 2

Unit12 We and Our Daily Lives - 3

Measurement of Length
Let's observe how we can measure the length of objects by using our ingers,
hands and foot.

Hand-span Cubit Finger-width Foot-length

1. Now, measure the length of these objects using your fingers-width and
hand-span and write in the table.
Objects Finger-width Hand-span

Pencil

Book

Stick

Which one is the longest object?
Which one is the shortest object?

Again, measure the length of a table
and a board by using your cubit.
How many cubits are the lengths of
table and board?

Now, measure the length of your school
ground by using your foot-length. How
many foot-lengths is the length of the school
ground?

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We and Our Daily Lives - 3

2. Now, let's use a ruler to measure the length of your pencil, chart-paper
and table. How many ruler-lengths are the length of these objects?
Objects Ruler-length
Pencil
Chart-paper
Table

Which one is the longest object?
Which one is the shortest object?
The measurement of length of the same object using inger-widths,
hand-spans, cubit and foot-lengths of different people may not be equal.
But when we use ruler to measure the length of the same object, the
measurement is always equal. So, ruler is called the standard instrument to
measure the lengths.

It is a centimetre ruler.

It is a measuring tape.

It is also a measuring tape. 191 vedanta Excel in Mathematics - Book 2

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We and Our Daily Lives - 3

Centimetre Ruler and meter-scale

2 cm
1 cm

It is a centimetre ruler. It is also called a centimetre scale. It measures the length
of objects in centimetre and in millimetre . Centimetre and millimetre are the
standard units of length.

In short, we write centimetre as cm and millimetre as mm. So, 5 cm means 5
centimetre length. We measure the shorter lengths such as length of pencil, length
of book, length of straight lines and so on in cm and mm.

These are metre scale and measuring tapes. We use them to
measure the lengths of longer objects in metre and centimetre.

In short, we write metre as m. So, 7 m means 7 metre length. We
measure longer lengths such as length of wall, length of ground,
length of clothes and so on in m and cm.

Do you know? How do we measure the longest length or distance between the
places?
We measure the distance between places in kilometre. We write kilometre
as km.

We use milometer to measure the distance.

vedanta Excel in Mathematics - Book 2 192 milometer

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We and Our Daily Lives - 3

Use of centimetre Ruler
1. Now, let's measure the length of some objects using centimetre ruler. Tell

and write the lengths in cm

a)

The length of the pencil is cm.

b)

The length of the toothbrush is cm.

c)

The length of the chocolate is cm.

d)

The length of the eraser is cm.

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We and Our Daily Lives - 3

2. Let's measure the lengths of these straight lines using a centimetre ruler.
Then tell and write the length.

AB PQ

a) b)

AB = cm PQ = cm

X YC D

c) d)

XY = cm CD = cm
cm
M N EF

e) f)

MN = EF = cm

Q R S T

g) cm h) cm

QR = ST =

M N A B

i) j)

MN = cm AB = cm

3. It's your time! Let's use ruler to measure the lengths of any
four shorter objects found in your home. Then write the length in cm.

is cm, is cm
is cm, is cm

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We and Our Daily Lives - 3

Lengths of straight lines

4. Let's measure the lengths of these straight lines using a centimetre ruler.

Then tell and write the length.

a) B b) C

A

AB = cm D CD = cm

c) R d)

P Q

RS = cm PQ = cm

S N f) E

e)

MN = cm EF = cm

M h) F

g) G Q R

GH = cm QR = cm

H

5. It's your time! Let's draw two horizontal lines of your measurements using
ruler. Name the lines and write the lengths.

= 195 =

Approved by Curriculum Development Centre, Sanothimi, Bhaktapur vedanta Excel in Mathematics - Book 2

We and Our Daily Lives - 3

Conversion of units of length

Do you know? 100 cm make 1 m, 200 cm make 2 m and so on.

300 cm = 3 m and 3 m = 300 cm

400 cm = 4 m and 4 m = 400 cm

120 cm = 1 m 20 cm and 1 m 20 cm = 120 cm

550 cm = 5 m 50 cm and 5 m 50 cm = 550 cm

1. Now, let's tell and write the answers as quickly as possible.

How many metres are there in 500 cm?

How many centimetres are there in 6 m?

How many metres and centimetres are there in 260 cm? m cm

How many centimetres are there in 3 m 70 cm?

2. How many metres and centimetres are there?

200 cm = m 500 cm = m 600 cm = m

700 cm = m 800 cm = m 900 cm = m

130 cm = m cm 180 cm = m cm

2 50 cm = m cm 475 cm = m cm

3. Let's tell and write, how many centimetres are there?

2m= cm 5 m = 6m=

7m= 8m= 9m=

1 m 40 cm = cm 2 m 10 cm = cm

3 m 20 cm = cm 6 m 90 cm = cm

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We and Our Daily Lives - 3

Addition and subtraction of units of length

4. Let's add metres (m) and centimetres (cm) separately.

a) 3 m 20 cm b) 4 m 10 cm c) 6 m 40 cm
25 cm
+ 2 m 30 cm + 1 m 15 cm + 5m

5 m 50 cm

d) 10 m 50 cm e) 16 m 45 cm f) 24 m 60 cm
+ 12 m 20 cm + 13 m 35 cm + 36 m 10 cm

g) 25 m 18 cm h) 32 m 22 cm i) 40 m 55 cm
+ 27 m 24 cm + 38 m 48 cm + 48 m 35 cm

5. Let's subtract metres (m) and centimetres (cm) separately.

a) 9 m 40 cm b) 10 m 50 cm c) 12 m 75 cm
– 4m 30 cm – 6 m 20 cm – 3 m 25 cm
5m 10 cm

d) 15 m 60 cm e) 20 m 80 cm f) 35 m 90 cm
– 10 m 45 cm – 14 m 32 cm – 15 m 58 cm

g) 42 m 74 cm h) 65 m 45 cm i) 75 m 63 cm
– 32 m 54 cm – 27 m 38 cm – 57 m 36 cm

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We and Our Daily Lives - 3

Addition and subtraction of lengths in real life!

3. Let's read the problems carefully. Say and write the answers as quickly as
possible.

a) A rubber is 25 cm long. You stretch it by 12 cm. What is 2 5 cm

the length of the stretched rubber? + 1 2 cm

The length of the stretched rubber is cm.

b) Mother buys 1 m 10 cm long of cloth to sew your trousers

and 1 m 20 cm of cloth to sew your shirt. How much cloth 1 m 10 cm
20 cm
does she buy altogether? + 1m

She buys m cm cloths altogether.

c) The string of a kite is 15 m 30 cm long. You join another
piece of string of length 10 m 40 cm. What is the total
length of the string now?

Now the total length is m cm

d) A shopkeeper has 25 m 60 cm of cloth. He sells 12 m 45
cm of cloth. How much cloth is left with him now?

He has m cm of cloth now.

e) Brother has 12 m 50 cm long ribbon. He cuts a 3 m 15 cm
long piece from it and gives to his sister. What length of
ribbon does the brother have now?

He has m cm length of ribbon.

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We and Our Daily Lives - 3

Area
Greater surface and smaller surface
1. Let's say and write the answer as quickly as possible.

Which one has greater surface, a wall or a board?

has greater surface.
So, the wall has greater area than that of the board.

Which one has greater surface, a book or an eraser?

has greater surface.
So, the book has greater area than that of the eraser.
2. Let's say and write 2 objects: one has greater surface than another one.

A has greater surface than that of a

A has greater surface than that of a

A has greater surface than that of a

Remember! A greater surface has greater area.
A smaller surface has smaller area.

3. Now, let's say and write which figure has greater area A or B?

AB AB
has greater area. has greater area.

AB 199 AB
has greater area. has greater area.

Approved by Curriculum Development Centre, Sanothimi, Bhaktapur vedanta Excel in Mathematics - Book 2

We and Our Daily Lives - 3

Measuring area
It is a square. It's area is 1 square room.
Area of this igure is 2 square rooms.

Area of this igure is 3 square rooms.

1. Now, let's tell and write the area of these figures.
a) b)

Area is square rooms. Area is
c) d)

Area is square rooms. Area is
e) f)

Area is square rooms. Area is
g) h)

Area is square rooms. Area is

vedanta Excel in Mathematics - Book 2 200 Approved by Curriculum Development Centre, Sanothimi, Bhaktapur