Vedanta Excel in Mathematics Book 3 Final (2078)

Fraction - Part of a whole

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

a) Half of the number of 10 girls = 1 of 10 = girls
2 children

b) One-third of the number of 15 children = of =

c) One-quarter of the number of 20 students = of = students

d) One- ifth of 25 kg of fruits = of = kg fruits

e) One-sixth of Rs 24 = of = Rs

f) One-tenth of the distance of 40 km = of = km

6. Let's read the problems carefully and solve them.

a) There are 27 students in a class. 1 of them are boys. How many boys are there in
3
the class?

of = › = boys are in the class.

b) Anjolina has 32 sweets. She gives 1 of the number of sweets to Anamol. How many
4

sweets does Anamol get?

Anamol gets of = › = sweets.

c) The distance between Itahari and Damak is 42 km. Raju Limbu travelled 1 part of
6

the distance by a car. How many kilometres did he travel by the car?

He travelled of = › = km by the car.

d) A shopkeeper had 80 kg of fruits. She sold 1 part of fruit on a day. How many
10

kilograms of fruits did she sell on the day.

She sold of = › = kg of fruits on the day.

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8Unit Decimal and Percent

Decimal - Tenths

There are 10 equal chunks in the bar of a chocolate.
Each chunk is one-tenth of the bar.

It is 1 of the bar of chocolate.
10

We can write 1 as 0.1
10

W read it 'zero point one or point one or decimal one'.

It is two tenths = 2 = 0.2 (zero point two).
10

It is three tenths = 3 = 0.3 (zero point three) and so on.
10

Classwork – Exercise

1. Now let's say and write the fractions and the decimals of the shaded parts.
a) b)

Fraction Decimal Fraction Decimal
c) d)

Fraction Decimal Fraction Decimal

2. Let's write in decimals. Then, say and write the decimal names.

a) Two-tenths = 0.2 zero point two b) Three-tenths =

c) Six-tenths = d) Seven-tenths =

e) Eight-tenths = f) Nine-tenths =

vedanta Excel in Mathematics - Book 3 152 Approved by Curriculum Development Centre, Sanothimi, Bhaktapur

Decimal

Whole and tenths

There are 10 equal chunks in the bar of a chocolate.
Each chunk is one-tenth of the bar.

One whole bar of chocolate and one-tenth.
It is 1.1 (One point one or one decimal one)

One whole bar of chocolate and three-tenths.
It is 1.3 (One point three or one decimal three)

Two whole bars of chocolate and four-tenths.
It is 2.4 (Two point four or two decimal four)

Classwork – Exercise
1. Let's tell and write whole and tenths in decimals.

a) b) c) d)

1.2

e) f) g) h)

2. Let's write in whole and decimals.

a) One point four 1.4 b) One point eight c) Two point three
f) Seven point nine
d) Two point ive e) Four point one
vedanta Excel in Mathematics - Book 3
3. Let's write in whole and decimal names.

a) 1.5 One point five b) 2.6

c) 3.8 d) 6.2

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Decimal

Hundredths

There are 100 small equal cubical blocks in the

whole block. Each small block is one-hundredth
(1010) of the
two-hundredths whole block. Two small blocks are
(1020) of the whole block.

It is one-hundredth = 1 of the whole block.
100

We write 1 as 0.01 and read as 'zero point zero one'.
100

There are two-hundredths = 2 of the whole block.
100
2
We write 100 as 0.02 and read as 'zero point zero two'.

Classwork – Exercise

1. In the whole square shapes, there are 100 small square rooms. Let's say and
write the fractions and decimals of the shaded rooms.

Fraction of blue shade

Decimal of blue shade

Fraction of green shade

Decimal of green shade

Fraction of pink shade

Decimal of pink shade
2. Let's write in decimals. Then say and write the decimal names.

a) Three-hundredths = 0.03 Zero point zero three

b) Seven-hundredths =

c) Twelve-hundredths = 0.12 Zero point one two

d) Eighteen-hundredths =

e) Thirty-four-hundredths =

vedanta Excel in Mathematics - Book 3 154 Approved by Curriculum Development Centre, Sanothimi, Bhaktapur

Decimal

3. Let's write the decimal numbers of these number names.

a) decimal four b) Zero point six

c) Zero point zero nine d) decimal zero ive

e) Zero point one two f) decimal seven six

4. Let's write the decimal number names.

a) 0.5 b) 0.05

c) 0.8 d) 0.08

e) 0.17 f) 0.49

5. Let's write these fractions in decimals.

a) 3 = b) 3 = c) 7 = d) 7 =
10 100 10 100

e) 9 = f) 9 = g) 8 = h) 8 =
10 100 10 100

i) 13 = j) 26 = k) 54 = l) 99 =
100 100 100 100

6. Let's write these decimals in fractions.

a) 0.2 = b) 0.02 = c) 0.4 = d) 0.04 =

e) 0.6 = f) 0.06 = g) 0.5 = h) 0.05 =

i) 0.17 = j) 0.38 = k) 0.61 = l) 0.88 =

7. It's your time! Let's write any two tenths and any two hundredths. Then write
the decimal number names.

Tenths Hundredths

a) c)
b) d)

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Percent

Percent - How many out of 100?
There are 100 birds in the pictures.

25 out of 100 birds are sparrows. So, 25 percent of birds are sparrows.
15 out of 100 birds are crows. So, 15 percent of birds are crows.

10 out of 100 birds are lophophorus (8fFkm)] . So, 10 percent of birds are lophophorus.

20 out of 100 birds are pigeons. So, 20 percent of birds are pigeons.
Classwork – Exercise

1. Now, let's say and write the answer as quickly as possible.
a) How many percent of birds are parrots?
b) How many percent of birds are peacocks?
c) How many percent of birds are eagles?

2. If you got 98 percent marks in maths, you got marks out of
full marks. marks out of
marks out of
3. If you got 85 percent marks in English, you got
full marks. Approved by Curriculum Development Centre, Sanothimi, Bhaktapur

4. If you got 92 percent marks in Science, you got

full marks.

vedanta Excel in Mathematics - Book 3 156

Percent

In this way, percent means per hundred or out of hundred.

1 I got it!
100
1 percent means 1 per 100 = = 1%. 1 It is one hundredth.
100

5 percent means 5 per 100 = 5 = 5%. 1 = 1%. It is 1 percent.
100 100

10 percent means 10 per 100 = 10 = 10% and so on.
100

For the word 'percent', we use a symbol %.

So, 7 percent = 7% = 7 , 25 percent = 25% = 25 and so on.
100 100

Classwork – Exercise

1. There are 100 square rooms in the square grids given below. Let's say and write
the fractions and decimals of the shaded rooms.

Green shade = 9 = 9%
100

Blue shade =

Pink shade =

2. Let's tell and write these fractions in percents.

a) 3 = 3% b) 8 = c) 14 = d) 25 =
100 100 100 100

e) 36 = f) 52 = g) 67 = h) 49 =
100 100 100 100

i) 71 = j) 80 = k) 90 = l) 99 =
100 100 100 100

3. Let's tell and write these percents in fractions.

a) 4% = 4 b) 7% = c) 9% = d) 15% =
100 f) 38% = g) 44% = h) 50% =

e) 20% =

i) 63% = j) 75% = k) 82% = l) 96% =

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Percent

Let's use percent in real life!

Let's read the problems carefully. Say and write the answer quickly.

1. a) There are 100 children in a hall. Among them 40 are boys and 60 are girls. How
many percent are boys and girls?

Percent of boys = Percent of girls =

b) 100 students of different schools are playing football and basketball in the
competition on the occasion of Children's Day. 55 students are playing football
and 45 are playing basketball. How many percents of the students are playing
football and basketball?

Percent of football players =

Percent of basketball players =

2. a) There are 35 men, 45 women and 20 children in a wedding party.

How many people are there in party? + + = people

How many percent of people are men, women and children?

Percent of men = Percent of women =

Percent of children =

b) In a hostel, 60 kg of potatoes, 25 kg of tomatoes and 15 kg of onions are consumed
in a month.

How much vegetables are consumed in a month?

++= kg

Express the amount of potatoes, tomatoes and onions in percents.

Percent of potatoes = Percent of tomatoes =

Percent of onions = I remember!
9
It's your time! 9% = 100
3. Let's write any four percents of your choice. Then,
36% = 36
write them in fractions. 100

a) = b) =

c) = d) = Approved by Curriculum Development Centre, Sanothimi, Bhaktapur

vedanta Excel in Mathematics - Book 3 158

9Unit We and Our Daily Lives - 2

More Number of Things more values

Let's read the cost of 1 pencil (unit number of pencil).

The cost of 1 pencil is Rs 10. Rs 10
Then, what is the cost of 2 pencils?
The cost of 2 pencils is 2 times Rs 10 = 2 × Rs 10 = Rs 20

What is the cost of 6 pencils? Rs ?
The cost of 6 pencils is 6 times Rs 10 = 6 — Rs 10 = Rs 60

In this way, when we multiply the value of 1 number of thing by more number, we ind
more value.

Classwork – Exercise

The cost of unit number of thing is given. Let's ind the cost of more number of things.

1. The cost of 1 pencil is Rs 10.

a) The cost of 2 pencils = — = I got it!
b) The cost of 3 pencils = — = 1 pencil is unit number.
Rs 10 is unit cost!!

c) The cost of 5 pencils = — =

2. The cost of 1 sweet is Rs 5.

a) The cost of 2 sweets = — = I understood!
b) The cost of 3 sweets = — = If I know the unit cost,
c) The cost of 6 sweets = — = I can ϔind more cost
by multiplication!!

3. The cost of 1 eraser is Rs 7.

a) The cost of 2 erasers = — = It's very simple!
= Cost of 2 erasers is
b) The cost of 3 erasers = — 2 times Rs 7, cost of 3
= erasers is 3 times Rs 7,
c) The cost of 10 erasers = — and so on...!!!
159
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We and Our Daily Lives - 2

Value of 1 number of thing

Let's read the cost of 2 pencils. Rs 20 ?
The cost of 2 pencils is Rs 20.
Then, what is the cost of 1 pencil?
The cost of 1 pencil is Rs 20 divided by 2 = Rs 20 › 2 = Rs 10

1 pencil is the unit number of pencil.

Classwork – Exercise

1. Here are the cost of more number of things. Let's ind the cost of unit (one)

number of thing. I understood!

I can ϔind the unit value

a) The cost of 2 sweets is Rs 10. by division.

The cost of 1 sweet = › =

b) The cost of 3 pencils is Rs 30.

The cost of 1 pencil = › = Interesting!
I can ϔind more values
c) The cost of 4 erasers is Rs 28. by multiplication and
unit value by division.

The cost of 1 eraser = › =

d) The cost of 5 biscuits is Rs 50.

The cost of 1 biscuit = › =

e) The cost of 2 kg of vegetables is Rs 60. Great!
Finding the value of more
The cost of 1 kg of vegetables = › = number of things and unit
number of thing is very
useful in our daily lives!

f) The cost of 10 kg of sugar is Rs 800.

The cost of 1 kg of sugar = ›= Approved by Curriculum Development Centre, Sanothimi, Bhaktapur

vedanta Excel in Mathematics - Book 3 160

We and Our Daily Lives - 2

EXERCISE

1. Let's read these problems carefully. Then solve them.

a) The cost of a packet of noodles is Rs 20. 20
Find the cost of 4 packets of noodles. x3

Cost of 4 packets of noodles = 4 — Rs20 =

b) The cost of 4 packets of noodles is Rs 80. 4)80(

What is the cost of 1 packet of noodles?. =

Cost of 1 packet of noodles = Rs80› 4

c) The cost of 5 packets of biscuits is Rs 75.

Find the cost of 1 packet of biscuits.

Cost of 1 packet of biscuits = › =

d) The cost of 1 packet of biscuit is Rs 15.

What is the cost of 5 packets of biscuits?

Cost of 5 packets of biscuits = — =
2. Let's solve these problems in your exercise book.
a) The cost of 1 kg of apples is Rs 140. Find the cost of 3 kg of apples.

b) The cost of 3 kg of apples is Rs 420. Find the cost of 1 kg of apples.

c) A jar can hold 20 litres of water. How much water do 8 jars hold?

d) 8 jars can hold 160 litres of water. How much water does 1 jar hold?

e) The weight of 10 packets of tea is 2500 g. What is the weight of 1 packet of tea?

f) The weight of 1 packet of tea is 250 g. Find the weight of 10 packets of tea.

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We and Our Daily Lives - 2

Buying and Selling

Cost Price and Selling Price

We should pay money to the shopkeeper
to buy things. This money is buying
price or purchasing price. The buying
price is also called cost price.

A shopkeeper takes money from the
customers when she/he sells things.
This money is the selling price of the
things.

Classwork – Exercise

Now, let's tell and write the answer as quickly as possible.
1. A shopkeeper buys a packet of pencils for Rs 100 and sells it for

Rs 120.

a) What is the cost price of the pencils?

b) What is the selling price of the pencils?

c) Does the shopkeeper gain or lose?
2. A fruit-seller buys some fruits for Rs 500 and sells them for

Rs 480.

a) What is the cost price of the fruits?

b) What is the selling price of the fruits?

c) Does the fruit-seller gain or lose?
3. The cost price of a cone of ice-cream is Rs 50 and its selling price

is Rs 60.

a) Is there pro it or loss?

b) How much pro it or loss?

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We and Our Daily Lives - 2

Rate of cost

Let's study the following examples and learn about rate of cost.

1. Father buys, 1 kg of vegetables for Rs 50.
So, the rate of cost of vegetables is Rs 50 per kg.

2. A shopkeeper sells 1 kg of rice for Rs 90.
So, the rate of cost of rice is Rs 90 per kg.

3. A stationer sells 3 pens for Rs 60.

Then cost of 1 pen = Rs 60 ÷ 3 = Rs 20.
So, the rate of cost of pen is Rs 20 per pen.

Classwork – Exercise

1. Let's ind, tell and write the cost of things.
a) Rita Maya Rai buys 1 litre of oil for Rs 120.

(i) What is the rate of cost of oil? per litre

(ii) What is the cost of 2 litres of oil? — =

b) A shopkeeper sells 1 bundle of spinach for Rs 25.

(i) What is the rate of cost of spinach? per bundle

(ii) What is the cost of 3 bundles of spinach? — =
c) Ashok buys 1 kg of oranges for Rs 80.

(i) What is the rate of cost of oranges? per kg

(ii) What is the cost of 5 kg of oranges? — =
2. Let's ind, tell and write the rate of cost.

a) The cost of 2 pencils is Rs 20.

What is the cost of 1 pencil? ›=

What is the rate of cost of pencil? per pencil.

b) The cost of 3 kg of mangoes is Rs 180. ›=
What is the cost of 1 kg of mangoes? per kg.
What is the rate of cost of mangoes?

Approved by Curriculum Development Centre, Sanothimi, Bhaktapur 163 vedanta Excel in Mathematics - Book 3

We and Our Daily Lives - 2

Billing

Have you ever got a piece of paper from a shopkeeper when you buy goods? This piece of
paper is a bill. In a bill, shopkeeper writes the name of goods, quantities of goods, rate of
cost and the total cost of goods that we bought from her/him.

Classwork – Exercise

1. Now, let's read the given bill and answer the following questions.

Universal Stationery Traders

Nilopul, Kapan-10, kathmandu

Bill No. 0123 Date: 18 Biasakh 2077

Customer's name: Sunayana Dahal Customer Address: Kapan

S. No. Particulars Quantity Rate Total
Price

1 Exercise books 4 Rs 40 Rs 160.00

2 Pencils 6 Rs 5 Rs 30.00

3 Instrument box 1 Rs 110 Rs 110.00

Sold by: Bishwant Grand Total 300.00

a) What is the name of the shop?

b) What is the name of the customer?

c) How many exercise books are purchased?

d) What is the rate of cost of each exercise book?

e) What is the total price of the exercise books?

f) How many pencils are purchased?

g) What is the rate of cost of each pencil?

h) What is the total price of the pencils?

i) What is the total price of the instrument box?

j) How much money does Sunayana pay for the bill?

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We and Our Daily Lives - 2

Time - Hour, Minute, Second

A clock has three hands.
of

of An hour hand: It is the shortest hand in a clock. It shows Second hand

how many hours have passed between two given clock Hour hand

times. Minute hand

A minute hand: It is a longer hand in a clock. It shows
how many minutes have passed between two given clock
times.

A second hand: It is a longer and thinner hand. It shows how many seconds have passed
between two given clock times.

Classwork – Exercise

1. Let's say and write how many hours have passed?

From To From To From To

hours hours hours

2. Let's say and write how many minutes have passed? To

From To From To From

minutes minutes minutes

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We and Our Daily Lives - 2

Conversion of Time

Conversion between hours and minutes

Let's remember!
1 hour = 60 minutes
2 hours = 2 × 60 minutes = 120 minutes
1 hour 15 minutes = 60 minutes + 15 minutes = 75 minutes

Classwork – Exercise

1. Let's convert into minutes.

a) 3 hours = × =

b) 4 hours = × =

c) 1 hour 5 minutes = + =

d) 1 hour 20 minutes = + =

e) 1 hour 30 minutes = + =

Have you remembered?
60 minutes = 1 hour
70 minutes = 60 minutes + 10 minutes = 1 hour 10 minutes
2. Let's convert into hours and minutes.

a) 65 minutes = 60 minutes + 5minutes = 1hour 5minutes

b) 75 minutes = + =

c) 80 minutes = + =

d) 85 minutes = + =

e) 90 minutes = + =

vedanta Excel in Mathematics - Book 3 166 Approved by Curriculum Development Centre, Sanothimi, Bhaktapur

We and Our Daily Lives - 2

Addition and Subtraction of Time

Classwork – Exercise

1. Let's add or subtract hours and minutes separately.

a) h min b) h min c) h min d) h min
3 20 1 40 4 30 2 25

+ 2 10 + 2 15 +1 5 + 2 15
5 30
h) h min
e) h min f) h min g) h min 7 35
4 50 6 45 5 55
– 5 15
– 3 20 – 2 25 – 4 30

2. Let's add and ind what time it is now.

a) 6 : 15 a.m. + 1 h 10 min = 7 : 25 a.m.

b) 6:20 a.m. + 1 h 15 min = In 6 : 15,
6 is hour and 15 is minute.
c) 7:30 a.m. + 2 h 20 min = So, I should add 6 h + 1 h and
15 min + 10 min
d) 5:15 p.m. + 2 h 25 min =
In 8 : 50,
e) 9:40 a.m. + 1 h 10 min = 8 is hour and 50 is minute.
3. Let's subtract and ind what time it is now. So, I should subtract
8 h – 1 h and 50 min – 20 min
a) 8 : 50 a.m. – 1 h 20 min = 7:30 a.m.
vedanta Excel in Mathematics - Book 3
b) 7 : 40 a.m. – 1 h 30 min =

c) 10 : 30 a.m. – 2 h 10 min=

d) 6 : 55 p.m. – 2 h 25 min =

e) 9 : 45 p.m. – 1 h 15 min = 167

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We and Our Daily Lives - 2

EXERCISE

1. Let's read the problems carefully. Tell and write the answer as quickly as
possible.

a) You started doing maths homework at 7:15 a.m. and inished in
35 minutes. At what time did you inish your homework?

7 : 15 a. m. + 35 minutes = a. m.

I inished my maths homework at

b) Children's football match began at 2:10 p. m. and inished at
2:55 p. m. How long did they play the match?

2 : 55 p. m. – 2 : 10 p. m. = minutes

They played for

2. Let's solve these problems in your exercise book.

a) Sister started doing Science homework at 6: 15 p. m. and inished in 30 minutes.
At what time did she inish her homework?

b) You left your home at 9 : 10 a. m. for your school and you arrived school in 40
minutes. At what time did you arrive your school?

c) Maths class starts at 10 : 05 a. m. and it is of 45 minutes. At what time is the class
over?

d) Your exam starts at 1 : 15 p. m. and inished at 2 : 45 p. m. How long did you have
your exam?

e) English class starts at 2 : 10 p. m. and overs at 2 : 50 p. m. How long is the English
class?

f) Nirmal starts walking from Shaktikhor at 6:05 a. m. and he arrives Tandi at 8 : 20
a. m. How long does he walk?

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We and Our Daily Lives - 2

Hours between a. m. and p. m.
In 12- hour clock system, we tell and write the hours using 1 to 12 numbers.

In24-hourclocksystem,wetellandwritethehoursusingthenumbers
1 to 24.

The given clock shows the hours 1 : 00 a. m. in the morning to
12 : 00 noon in the mid-day. Then it shows 13 : 00 hours afternoon
to 24 : 00 hours mid-night.

After 24:00 mid-night, time starts 1 : 00 a. m. , 2 : 00 a. m. ... 12 : 00 noon. After 12 : 00
noon, time starts 13 : 00, 14 : 00, .... 24 : 00 mid-night.

Classwork – Exercise

1. Now, let's tell and write the p. m. time in 24-hour clock system.

1 : 00 p. m. = 12 + 1 = 13 : 00 2 : 00 p. m. = 12 + 2 = 14 : 00

a) 3 : 00 p. m. = = b) 4 : 00 p. m. = =

c) 5 : 00 p. m. = = d) 6 : 00 p. m. = =

2. Let's tell and write the answer as quickly as possible.

a) How many hours are there between 11 : 00 a. m. and 1 : 00 p. m.?

1 : 00 p. m. = 13 : 00 So, 13 : 00 – 11 : 00 = 2 hours

b) How many hours are there between 10 : 00 a. m. and 2 : 00 p. m. ?

2 : 00 p. m. = So, – =

c) How many hours are there between 11 : 00 a. m. and 3 : 00 p. m. ?

3 : 00 p. m. = So, – =

d) How many hours are there between 9 : 00 a. m. and 4 : 00 p. m. ?

4 : 00 p. m. = So, – =

Approved by Curriculum Development Centre, Sanothimi, Bhaktapur 169 vedanta Excel in Mathematics - Book 3

We and Our Daily Lives - 2

Hours and Days

1. Let's study the diagrams. Tell and write the answer quickly.

6 : 00 a. m. on Sunday morning

a) How many hours are there between

6 : 00 a. m. to 6 : 00 p. m. on a day?

There are hours.

b) Again, how many hours are there between 6 : 00 p. m. on Sunday evening
6 : 00 p. m. to 6 : 00 a. m. on the next day?

There are hours.

c) Now, how many hours are there between
6 : 00 a. m. on a day to 6 : 00 a. m. on the next day?

There are hours.

6 : 00 p. m. on Monday morning

24 hours make 1 day.
1 day = 24 hours

2. Let's tell and write the answer as quickly as possible.

a) How many hours are there between Friday 7 : 00 a. m. and the following Saturday 7 :

00 a. m.? There are hours.

b) How many days are there between Monday 9 : 00 a. m. and the following Tuesday 9 :

00 a. m.? There are hours.

c) How many hours are there in 1 day? hours.

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

e) How many days are there in 48 hours? days.

f) How many days are there in 72 hours? days.

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We and Our Daily Lives - 2

Day, Week, Month and Year

Classwork – Exercise

Let's read the given calendars. jz} fv @)&(

r}t @)&* cfO{taf/ ;fd] af/ d+unaf/ aw' af/ laxlaf/ z'qmaf/ zlgaf/

cfOt{ af/ ;f]daf/ du+ naf/ a'waf/ laxlaf/ z'qmaf/ zlgaf/ !@#
$ % ^ & * ( !)
! @# $ % !! !@ !# !$ !% !^ !&
^ & * ( !) !! !@ !* !( @) @! @@ @# @$
!# !$ !% !^ !& !* !( @% @^ @& @* @( #) #!
@) @! @@ @# @$ @% @^
@& @* @( #)

1. Let's answer the following questions.
a) How many days are there in Chaitra month of 2078 B.S. ?

b) How many days are there in Baisakh month of 2079 B.S.?

c) How many Saturdays are there in Chaitra month?

d) Your test started on 27th Chaitra 2078 and inished on 2nd Baisakh 2079. In how
many days was the test inished?

2. Let's make the calendars of the months jestha and Ashar 2079 B.S.

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

Approved by Curriculum Development Centre, Sanothimi, Bhaktapur 171 vedanta Excel in Mathematics - Book 3

We and Our Daily Lives - 2

Day, Week, Month and Year

Let's remember!
1 week = 7 days, 2 weeks = 2 × 7 days = 14 days
1 month= 30 days, 2 months = 2 × 30 days = 60 days
1 year = 12 months, 2 years = 2 × 12 months = 24 months
1 year = 365 days

Classwork – Exercise

Let's say and write the answer as quickly as possible.
1. How many days are there in

a) 3 weeks = × =

b) 4 weeks = × =

c) 5 weeks = × =

2. How many weeks are there in

a) 21 days = 21 ÷ 7 = 3 weeks b) 28 days = ÷ =

c) 35 days = 21 ÷ 7 = 3 weeks d) 42 days = ÷ =

3. How many days are there in

a) 3 months = × =

b) 4 months = × =

c) 5 months = × =

4. How many months are there in

a) 3 years = × =

b) 4 years = × =

c) 5 years = × =

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We and Our Daily Lives - 2

Money - Rupees and Paisa

Classwork – Exercise

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

1. a) How many 1 paisa coins make a
rupee 1 coin?

b) How many rupee 1 coins make a
Rs 10 note?

c) How many rupee 1 coins make a
Rs 100 note?

2. a) How many Rs 5 note make a
Rs 20 note?

b) How many Rs 10 note make a
Rs 50 note?

c) How many Rs 10 note make a
Rs 100 note?

d) How many Rs 100 note make a
Rs 500 note?

e) How many Rs 100 note make a
Rs 1000 note?

Approved by Curriculum Development Centre, Sanothimi, Bhaktapur 173 vedanta Excel in Mathematics - Book 3

We and Our Daily Lives - 2

Conversion of rupees and paisa
Do you remember?

Re 1 = 100 paisa, Rs 2 = 2 × 100 paisa = 200 paisa

Classwork – Exercise

1. Let's convert rupees into paisa.

3a) Rs 3 = × 100 paisa = paisa

b) Rs 5 = × paisa = paisa

c) Rs 8 = × paisa = paisa

d) Re 1 paisa 5 = 100 paisa + 5 paisa = 105 paisa

e) Re 1 paisa 30 = paisa + paisa = paisa

f) Rs 2 paisa 50 = 200 paisa + 50 paisa = 250 paisa

g) Rs 2 paisa 75 = paisa + paisa = paisa

h) Rs 3 paisa 40 = paisa + paisa = paisa

2. Let's convert paisa into rupees.

a) 200 paisa = Rs 2 b) 300 paisa = c) 400 paisa =

d) 500 paisa = e) 600 paisa = f) 700 paisa =

3. Let's convert paisa into rupees and paisa.

a) 145 paisa = 100 paisa + 45 paisa = Re 1 paisa 45

b) 160 paisa = paisa + paisa = Rs paisa

c) 220 paisa = paisa + paisa = Rs paisa

d) 355 paisa = paisa + paisa = Rs paisa

vedanta Excel in Mathematics - Book 3 174 Approved by Curriculum Development Centre, Sanothimi, Bhaktapur

We and Our Daily Lives - 2

Rupees and paisa in Decimals

Writing rupees and paisa in decimal

100 paisa make Re 1.

So, 1 paisa is one-hundredths part of Re 1. 5 paisa = Rs 0.05
15 paisa = Rs 0.15
1 paisa = 1 of Re 1 = Rs 0.01 50 paisa = Rs 0.50
100 75 paisa = Rs 0.75

2 paisa = 2 of Re 1 = Rs 0.02
100

10 paisa= 10 of Re 1 = Rs 0.10 and so on.
100

Classwork – Exercise

1. Let's convert paisa into the decimal of rupees.

a) 3 paisa = Rs 0.03 b) 4 paisa = Rs

c) 5 paisa = Rs d) 7 paisa = Rs

e) 15 paisa = Rs f) 20 paisa = Rs

g) 50 paisa = Rs h) 85 paisa = Rs

2. Let's write rupees and paisa in decimals.

a) Rs 7 paisa 5 = Rs 7.05 b) Rs 10 paisa 8 = Rs

c) Rs 15 paisa 10 = Rs d) Rs 18 paisa 25 = Rs

e) Rs 30 paisa 50 = Rs f) Rs 75 paisa 95 = Rs

3. Let's tell and write how many rupees and how many paisa?

a) Rs 5.05 = Rs 5 and paisa 5 b) Rs 8.06 = Rs and paisa
d) Rs 20.35 = Rs and paisa
c) Rs 12.10 = Rs and paisa f) Rs 99.99 = Rs and paisa

e) Rs 50.50 = Rs and paisa

Approved by Curriculum Development Centre, Sanothimi, Bhaktapur 175 vedanta Excel in Mathematics - Book 3

We and Our Daily Lives - 2

Addition of Money

EXERCISE

1. Let's add rupees and paisa separately.

a) Rs P b) Rs P c) Rs P d) Rs P
7 10 6 20 10 25 14 50
15 30 40 20
+5 25 +4 + 15 + 18
12

Rs 12.25

e) Rs 12.30 f) Rs 20.35 g) Rs 42.45 h) Rs 50.65
+ Rs 13.45 + Rs 30.15 + Rs 28.25 + Rs 15.10
Rs 25.75

2. Let's add paisa and regroup into rupees and paisa.

a) 40 paisa + 70 paisa = 110 paisa = Re 1 paisa 10

b) 50 paisa + 65 paisa = paisa = Re paisa

c) 80 paisa + 60 paisa = paisa = Re paisa

d) 45 paisa + 75 paisa = paisa = Re paisa

e) 30 paisa + 90 paisa = paisa = Re paisa

3. Let's copy and add in your exercise book.

1 b) Rs 9.35 c) Rs 16.80 d) Rs 35.50
+ Rs 7.85 + Rs 25.70 + Rs 40.50
a) Rs 5.20
+ Rs 8.90 f) Rs 110.40 g) Rs 250.55 h) Rs 320.90
Rs 14.10 + Rs 75.80 + Rs 180.65 + Rs 280.60

e) Rs 60.75
+ Rs 50.25

vedanta Excel in Mathematics - Book 3 176 Approved by Curriculum Development Centre, Sanothimi, Bhaktapur

We and Our Daily Lives - 2

Shopping Time!

Rs 40.50 Rs 75.60 Rs 140.45 Rs 350.80 Rs 60.75

Classwork – Exercise

Now, let's ind the total cost of the following items.

1. What is the total cost of a pen and an ice-cream?

The cost of a pen = The cost of a pen = Rs 40.50
The cost of an ice-cream = Rs 75.60
The cost of an ice-cream = I should add to ϔind the total cost.

The total cost =
2. What is the total cost of a packet of crayons and a math book?

The cost of a packet of crayons =

The cost of a math book =

The total cost =

3. What is the total cost of a packet of biscuits and an ice-cream?

The cost of a packet of biscuits =

The cost of an ice-cream =

The total cost =

4. What is the total cost of a pen and a math book?

The cost of a pen =

The cost of a math book =

The total cost = 177 vedanta Excel in Mathematics - Book 3

Approved by Curriculum Development Centre, Sanothimi, Bhaktapur

We and Our Daily Lives - 2

Subtraction of money

EXERCISE

. Let's subtract rupees and paisa separately.

a) Rs P b) Rs P c) Rs P d) Rs P
9 30 14 50 36 75 150 60
15 25
– 4 10 –8 – 17 – 75 35
5 20

Rs 5.20

e) Rs 27.80 f) Rs 74.65 g) Rs 185.70 h) Rs 443.90
– Rs 12.50 – Rs 37.45
– Rs 128.15 – Rs 295.55

Rs 25.75

2. Let's borrow Re 1 to paisa and subtract.

a) Re 1 and 10 p – 50 p = (100 + 10) p – 50 p = 110p – 50 p = 60 p

b) Re 1 and 20 p – 40p = ( + )p – 40 p = p – 40p = p

c) Re 1 and 30 p – 60p = ( + )p – p = p– p = p

d) Re 1 and 40 p – 80 p = ( + )p – p = p– p = p

3. Let's copy and subtract in your exercise book.

6 110 b) Rs P c) Rs P d) 51 130
15 10 48 20
a) Rs P Rs 52.30
7 10 – 9 20 – 25 40
– Rs 18.50
– 3 30
3 80 Rs 33.80
Rs 3.80

e) Rs 45.10 f) Rs 72.50 g) Rs 184.40 h) Rs 365.25
– Rs 22.40 – Rs 36.75
– Rs 55.60 – Rs 127.45

vedanta Excel in Mathematics - Book 3 178 Approved by Curriculum Development Centre, Sanothimi, Bhaktapur

We and Our Daily Lives - 2

Shopping Time!

Rs 50.40 Rs 120.60 Rs 240.00 Rs 80.50

Classwork – Exercise

1. Let's read the price of each item and answer these questions.

a) Father buys a bottle of mustard oil and he gives a Rs 500 note to the shopkeeper. What
changes does the shopkeeper return him?

Father gives a note of Rs 500 = Rs 500.00

The cost of a bottle of oil = – Rs 240.00

The returned changes to him =

b) Mother buys a bag of apples and she gives two notes of Rs 100 to the shopkeeper.
What change does the shopkeeper return her?

Mother gives two notes of Rs 100 = Rs 200.00

The cost of a bag of apples = Rs 120.60

The returned changes to her =

c) Mr. Gurung buys a bag of onions and he gives Rs 55 note to the shopkeeper. What
changes does the shopkeeper return him?

Mr. Gurung gives Rs 55 = Rs 55.00

The cost of a bag of onions = Rs 50.40

The returned changes to him =

d) Mrs. Joshi buys a packet of wheat lour and she gives Rs 90 to the shopkeeper. What
changes does the shopkeeper return her?

The money given by Mrs. Joshi = Rs 90.00

The cost of a packet of wheat lour = Rs 80.50

The returned changes to her =

Approved by Curriculum Development Centre, Sanothimi, Bhaktapur 179 vedanta Excel in Mathematics - Book 3

We and Our Daily Lives - 2

EXERCISE

Let's read the problems carefully. Then solve the problems in your exercise book.

1. The cost of a pen is Rs 25 and the cost of an exercise book is Rs 45.

a) What is the total cost of these two items?

b) If you give a Rs 100 note to the shopkeeper, what changes does
he/she return you?

The cost of a pen =

The cost of an exercise books =

The total cost of two items =

The returned changes to you = – =
2. The cost of a pencil is Rs 8 and the cost of an eraser is Rs 5.

a) What is the total cost of these two items?

b) If Bhurashi gives a Rs 20 note to the shopkeeper, what changes does she/he return
her

3. The cost of 1 kg of cauli lower is Rs 60.50 and 1 kg of peas is Rs 50.50.

a) What is the total cost of these two items?

b) If mother gives Rs 120 to the shopkeeper, what changes does
she/he return her?

4. The cost of a plate of Mo:Mo is Rs 140 and the cost of a glass of juice is Rs 125.

a) What is the total cost of these two items?

b) If Mr. yadav gives a Rs 500 note to the shopkeeper, how many rupees does she/he
return him?

5. The total cost of a biscuit and a chocolate is Rs 70. The cost of a biscuit is Rs 32.

a) What is the cost of the chocolate?

b) If Reshma gives a Rs 100 note to the shopkeeper, what change does she/he return
her?

vedanta Excel in Mathematics - Book 3 180 Approved by Curriculum Development Centre, Sanothimi, Bhaktapur

Unit 10 Geometry

Point, Line and Line segment

Let's press the tip of a pencil on your inger slightly. What did you
see on the inger? The tiny mark on your inger is a point.

A tiny dot represents a point. A point does not have length and ABC

breadth. We name a point by using a capital letter. In the given box, A,

B, C, P, Q and R are the points. P QR

Now, Let's mark any two points A and B in the box. Join the points A A B
and B. AB is a line. A line can be straight or curved. AB is the straight
line and PQ is the curved line. P Q
P Q

Furthermore, AB is a straight line and CD is a straight line segment. AB
What difference do you notice between AB and CD? straight line AB

A straight line has arrow-heads at the two ends. A straight line CD
segment is a part of a straight line. straight line segment CD

Classwork – Exercise

1. Choose the correct answer and ill in the blanks.
point, straight line, curved line, straight line segment

a) AB is a

M N

b) A PQ is a
c) X
d) P B

XY is a

Y

M and N are

Q

Approved by Curriculum Development Centre, Sanothimi, Bhaktapur 181 vedanta Excel in Mathematics - Book 3

Geometry - Point, Line and Line Segment

Vertical, horizontal and slanting line segment
Let's study about vertical, horizontal and standing line segments.

A AB is a standing MN is a sleeping
line segment. line segment.

AB is a vertical line MN
B segment.
MN is a horizontal
line segment.

D F

CD is a slanting EF is also a slanting
line segment. line segment.

C E

Classwork – Exercise

1. Let's join the points to draw straight line segments by using a ruler. Also name
the straight line segments.

B is a standing is a sleeping
line segment. line segment.

is a vertical line C D is a horizontal
A segment. line segment.

is a slanting line segment. Y

Q is also a slanting line segment. X
P

2. Let's use ruler to draw the following straight line segments.

AB is a vertical line segment. PQ is a horizontal line segment.

MN is a slanting line segment. XY is also a slanting line segment.

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Geometry - Point, Line and Line Segment

3. Let's tell and write 'vertical', 'horizontal' or 'slanting' in the blank spaces.

a) AB is a line segment. C B
A

b) BC is a line segment. A B C
c) AC is a line segment.

4. Let's tell and write the names of vertical, horizontal and slanting line segments.

a) is a vertical line segment. RQ

P

b) horizontal line segment.

c) is a slanting line segment. P QR

5. Let's use ruler to join the points in order. Then, write the name of the straight
line segments.

a) A b) S R

BC Q
P
are vertical line segments.
is a slanting line segment. and are horizontal line segments.

is a horizontal line segment. and line segment.

is a slanting line segment. PR is a vedanta Excel in Mathematics - Book 3

Approved by Curriculum Development Centre, Sanothimi, Bhaktapur 183

Geometry - Point, Line and Line Segment

Measuring the length of line segment

1 cm 5 cm 10 cm 14 cm

It is a ruler. It is also called a centimetre-scale. We use a centimetre-scale to measure the
length of a line segment. We also used it for drawing the given length of a line segment.

Classwork – Exercise

1. Now, let's measure the length of line segments using centimetre-scale. Tell and
write the length of line segments.

a) Zero mark 4 cm b) Zero mark 5 cm

A B P Q

AB = cm PQ = cm
XY = cm
c) C D d) X Y

CD = cm

Drawing line segments of the given length.
Let's draw AB = 4 cm.

The 0-mark of a scale is at A. Then move A B
the tip of a pencil from 0 to 4-mark of the
scale and mark the point as B. In this way,
we drew a line segment AB = 4 cm.

2. Now, let's draw these line segments in your exercise book by using a centimetre-
scale.

a) 2 cm b) 3 cm c) 4 cm d) 5 cm e) 6 cm f) 7 cm

vedanta Excel in Mathematics - Book 3 184 Approved by Curriculum Development Centre, Sanothimi, Bhaktapur

Geometry - Angle

Angle - A corner between two straight line segments

Let's look around your classroom. Do you see the corners between the walls and ceilings?
How many corners did you see?

Can you tell some more corners made by different objects inside your classroom.

Now' let's observe the corners between your ingers,
the corners between forearm and arm of your hand.

Such corners are called Angles.

Straight line segments AB and BC also make a corner A
at the point B. This corner is angle ABC or angle C
CBA.
P
We write angle ABC as ³ABC and angle CBA as ³CBA. We represent the B E
word 'angle' by symbol '³'.

Name, vertex and arms of angle

Name of this angle is ³POQ or ³QOP. Q

The vertex of this angle is O. So, the vertex is a corner point where
an angle is made. PO and QO are the arms of the ³POQ.

O

Classwork – Exercise

1. Let's say and write the name, vertex and arms of the given angle.

a) Name of angle is Vertex is

Arms of the angle are and DC

R

b) Name of angle is Vertex is

Arms of the angles are and Q P
c) Name of angle is Vertex is B

Arms of the angle are and

Approved by Curriculum Development Centre, Sanothimi, Bhaktapur 185 OA
vedanta Excel in Mathematics - Book 3

Geometry - Angle

Comparing the sizes of angles
Let's remember!
A wider corner has the greater angle than a narrower corner.

B EZ
R

Wider corner Narrower corner Narrower corner Wider corner
O AQ P DC YX

³AOB is greater than ³PQR. ³XYZ is greater than ³CDE.
1. Let's compare these angles.
b) F
a) G C

R

F Q B AE D
EP
is greater than
is greater than

EXERCISE

2. Let's draw 2/2 vertical, horizontal and slanting line segments using ruler in your
exercise book.

3. Let's draw line segments of the given lengths using ruler in your exercise book.

a) 8 cm b) 9 cm c) 10 cm d) 12 cm

4. Let's draw these angles as similar as possible using ruler in your exercise book. Then

name the angles, vertices and arms.

BE R ZX

O AD C QP Y

It's your time!

5. Let's draw three angles using ruler. Then name the angles, vertices and arms.
Also compare your angles.

vedanta Excel in Mathematics - Book 3 186 Approved by Curriculum Development Centre, Sanothimi, Bhaktapur

Geometry - Plane shapes

Triangle
Classwork – Exercise
1. Let's tell and write the answer as quickly as possible.

a) What is the name of the given shape formed by the matchsticks?

b) How many matchsticks are used to make the shape?

c) How many corners are there in this shape?

d) What type of shape is it? Plane or solid shape?

e) Let's try to make the similar shape by using pencils.

2. Let's take a sheet of paper and fold it along one of its corners. Now,
let's cut the folded corner. What is the shape of the cut out part?

3. Let's name any two objects that have triangular shape.

,

C

The given igure is a triangle. It is triangle ABC. We write triangle ABC as
'ABC. it is a plane shape. The shape is called triangular.

AB

What is the shape of a cone of ice-cream?

What is the shape of a hanger?

4. Let's count the number of triangles formed by matchsticks. Also count the
number of match ticks.

Triangles Triangles
Matchsticks Matchsticks

Approved by Curriculum Development Centre, Sanothimi, Bhaktapur 187 vedanta Excel in Mathematics - Book 3

Geometry - Plane shapes

Name, vertices, sides and angles of a triangle R

The name of the given triangle is 'PQR. P, Q and R are the three vertices
(singular vertex) of 'PQR. PQ, QR and RP are the sides of 'PQR. ³P, ³Q
and ³R are the three angles of 'PQR.

Classwork – Exercise P Q

1. Let's tell and write the name, vertices, sides and angles of these triangles.

A Z

a) b)

BC XY

Name Name

Vertices , , Vertices , ,

Sides ,, Sides ,,

Angles ,, Angles ,,

2. Let's join the vertices in order with a ruler to construct the triangles and name
them. Also write the vertices, sides and angles of triangle.

F b) T

a)

E

D , , R S
, ,
Name , , Name ,,
Vertices Vertices ,,
Sides Sides ,,
Angles Angles

vedanta Excel in Mathematics - Book 3 188 Approved by Curriculum Development Centre, Sanothimi, Bhaktapur

Geometry - Plane shapes

3. It's your time! Let's draw two triangles in the boxes using ruler and name them.
Also write the vertices, sides and angles of your triangles.

Name Name

Vertices , , Vertices , ,

Sides ,, Sides ,,

Angles ,, Angles ,,

Square and rectangle

1. Let's discuss the answer of the following questions.

a) Is the given shape a square or a rectangle? Breadth

How many matchsticks are used in this shape? Length
Are all the matchsticks of equal size?

b) Is the given shape a square or a rectangle?

How many matchsticks are used in this shape? Breadth

How many matchsticks are there in the length? Length
How many matchsticks are there in the breadth?

2. Let's take 8 matchsticks. Arrange them to form a square and a rectangle. Then
answer the following questions.

a) How many matchsticks are there in the length and in the breadth of the square?

There are sticks in the length and sticks in the breadth.

Approved by Curriculum Development Centre, Sanothimi, Bhaktapur 189 vedanta Excel in Mathematics - Book 3

Geometry - Plane shapes

b) Are the number of sticks along length and along breadth equal?

c) How many sticks are there in the length and in the breadth of rectangle?

There are sticks and in the length and sticks in the breadth.

d) Are the number of sticks along lengths of the rectangle equal?

e) Are the number of sticks along breadths of the rectangle equal?

3. Let's take 6 matchsticks and arrange them to form a rectangle. Can you make a square
with 6 matchsticks?

4. Let's take 10 matchsticks and arrange them to form a rectangle. Can you make a square
with them?

5. Let's take 12 matchsticks. Arrange them to form a rectangle and a square.

It is a It is a It is a

Classwork – Exercise D C
1. Let's say and write the correct answer in the blanks.
a) The given igure is a square ABCD. it is a plane shape.

, , and are the 4 vertices of the square.

, , and are the 4 sides of the square. A B
³A, ³B, ³C and ³D are the 4 angles of the square.

All 4 sides of a square are equal.

So, AB = BC = CD = DA

vedanta Excel in Mathematics - Book 3 190 Approved by Curriculum Development Centre, Sanothimi, Bhaktapur

Geometry - Plane shapes S R

b) The given igure is a rectangle PQRS. It is a plane shape.

, , and are the 4 vertices of the rectangle.
, , and
are the 4 sides of the rectangle. P Q

³P, ³Q, ³R and ³S are the 4 angles of the rectangle.
The lengths of a rectangle are equal. So, PQ = RS.
The breadth of a rectangle are equal. So, PS = QR.

Classwork – Exercise

1. Let's write the name of these squares and rectangles. Also write their vertices,
sides and angles.

HG is a

a) It's vertices are , , and

E F and

It's sides , ,

It's angles are , , and

D C is a

b) It's vertices are , , and

It's sides , , and

AB

It's angles are , , and

2. Let's join the vertices in order with a ruler to draw a square or rectangle. Then
write their names vertices, sides and angles.

a) Z Y is a , , and
, , and
W It's vertices are , , and

It's sides are 191 vedanta Excel in Mathematics - Book 3

X

It's angles are

Approved by Curriculum Development Centre, Sanothimi, Bhaktapur

Geometry - Plane shapes

b) is a

A B

It's vertices are , , and

D C It's sides are , , and

It's angles are , , and

3. Let's ind the length of the sides of square and rectangles using a ruler.

SR

a) PQ = QR = I've remembered!

RS = SP = All sides of a square
are equal.

So, PQ = QR = RS = SP

P Q
C
b)

D

AB = CD = In a rectangle,
BC = DA = lengths AB = CD
breadth BC = DA

AB

4. Let's count the number of triangles, squares and rectangles in these igures.

a) Triangles b) Triangles
Squares
Squares Rectangles

Rectangles

It's your time!

5. Let's search and write the name of 2/2 objects of these shapes in your
surroundings.

a) Triangular objects ,

b) Rectangular objects ,

c) Square objects 192 ,

vedanta Excel in Mathematics - Book 3 Approved by Curriculum Development Centre, Sanothimi, Bhaktapur

Geometry - Plane shapes

Circle

Let's take a coin and place it on a sheet of paper. Move the tip of a pencil
along its edge. What type of shape is formed?

Let's write the name of any two objects that have circular shape. C
,
Diameter
The given igure is a circle. It is a rounded plane shape. It does not Radius
have any corner. OA
Centre

B

In the given circle, O is the centre, OA is the radius and BC is the diameter of the circle.
OB and CO are also the radii (plural of radius) of the circle.

Classwork – Exercise

1. Let's say and write the names of centre, radius and diameter of these circles.

Centre is C Centre is

a) Q O P Radii are , A P B Radii are , ,
and and

Diameter is D

Diameters are
and

2. Let's measure the length of diameters and radii of this circle.

Diameters CD = and EF =

R D Radii OC = OD =
F
OE = and OF =
O
C Are the diameters of the circle equal?

E

Are the radii of the circle equal?

Approved by Curriculum Development Centre, Sanothimi, Bhaktapur 193 vedanta Excel in Mathematics - Book 3

Geometry - Solid shapes

Cube, cuboid, sphere, cylinder, cone and pyramid

Classwork – Exercise

1. Let's tell and write the names of these solid shapes. Also write the name of 1
object similar to each of these shapes.

It is a It is a has cuboid shape.
A die has cube shape. A

It is a has sphere shape. It is a has cylindrical shape.
A has cone shape. A

It is a It is a pyramid.
A A tent has pyramid shape.

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

vedanta Excel in Mathematics - Book 3 194 Approved by Curriculum Development Centre, Sanothimi, Bhaktapur

Geometry - Solid shapes

Classwork – Exercise
1. With which solid shapes are these objects similar?

2. Let's tell and write the name of the solid shape.
a) It has 6 square faces, 12 edges and 8 corners. It is a

b) It has 6 rectangular faces, 12 edges and 8 corners. It is a

c) It has 2 circular faces, 2 circular edges. It does not have any corner.
It is a

d) It has 1 circular face, 1 circular edge and 1 corner. It is a

e) It does not have any faces, edge and corner. It is a
3. It's your time! Let's write any 4 objects that you have seen. Then say and write

the shapes of these objects.

Objects Shapes

Approved by Curriculum Development Centre, Sanothimi, Bhaktapur 195 vedanta Excel in Mathematics - Book 3

Unit 11 We and Our Daily lives - 3

Measurement - Length
Conversion of units of length

Let's remember! 1 cm = 10 mm
10 mm make 1 cm, 20 mm make 2 cm and so on. 1 m = 100 cm
100 cm make 1 m, 200 cm make 2 m and so on. 1 km = 1000 m
1000 m make 1 km, 2000 m make 2 km and so on.

Classwork – Exercise

1. Let's convert into centimetre (cm) or in millimeter (mm).

a) 10 mm = b) 20 mm = c) 30 mm =

d) 40 mm = e) 50 mm = f) 2 cm =

g) 6 cm = h) 7 cm = i) 8 cm =

2. Let's convert into metre (m) or into centimetre (cm).

a) 100 cm = b) 200 cm = c) 300 cm =

d) 400 cm = e) 600 cm = f) 5 m =

g) 7 m = h) 8 m = i) 9 m =

3. Let's convert into kilometre (km) or into metre (m).

a) 1000 m = b) 2000 m = c) 3000 m =

d) 6000 m = e) 9000 m = f) 4 km =

g) 5 km = h) 7 km = i) 8 km =

4. Let's convert into centimetre (cm) and millimeter (mm).

a) 12 mm = 10 mm + 2 mm = 1 cm 2 mm

b) 15 mm = + =

c) 28 mm = + =

d) 46 mm = + =

vedanta Excel in Mathematics - Book 3 196 Approved by Curriculum Development Centre, Sanothimi, Bhaktapur

We and Our Daily lives - 3

5. Let's convert into millimetre (mm). I got it!
a) 2 cm 5 mm = 20 mm + 5 mm = 25 mm 100 cm = 1 m
b) 1 cm 4 mm = + = 300 cm = 3 m
c) 3 cm 2 mm = + =
d) 5 cm 7 mm = + = I've remembered!
1 m = 100 cm
6. Let's convert into metre (m) and centimetre (cm). 2 m = 200 cm
a) 115 cm = 100 cm + 15 cm = 1 m 15 cm
b) 140 cm = + = I understood!
c) 210 cm = + = 1000 m = 1 km
d) 350 cm = + = 2000 m = 2 km
50000 m = 5 km
7. Let's convert into centimetre (cm).
a) 1 m 20 cm = 100 cm + 20 cm = 120 cm I've also remembered!
b) 1 m 30 cm = + = 1 km = 1000 m
c) 2 m 25 cm = + = 2 km = 2000 m
d) 4 m 70 cm = + = 3 km = 3000 m

8. Let's convert into kilometre (km) or into metre (m).
a) 1250 m = 1000 m + 250 m = 1 km 250 m
b) 1340 m = + =
c) 2420 m = + =

9. Let's convert into metre (m).
a) 1 km 180 m = 1000 m + 180 m = 1180 m
b) 1 km 530 m = + =
c) 2 km 360 m = + =

Approved by Curriculum Development Centre, Sanothimi, Bhaktapur 197 vedanta Excel in Mathematics - Book 3

We and Our Daily lives - 3

EXERCISE

1. Let's convert as indicated in your exercise book.

a) 30 mm into cm b) 70 mm into cm

c) 25 mm into cm and mm d) 43 mm into cm and mm

e) 2 cm 4 cmm into mm f) 6 cm 9 mm into mm

We can write 5 cm 6 mm as 5.6 cm and 3 m 25 cm as 3.25 m in decimal.

2. Let's rewrite the following measurements in the decimal of higher units in your
exercise book.

a) 3 cm 4 mm b) 4 cm 5 mm c) 6 cm 8 mm

d) 1 m 25 cm e) 2 m 50 cm f) 3 m 75 cm

3. Let's convert as indicated in your exercise book.

a) 700 cm into m b) 900 cm into m c) 125 cm into m and cm

d) 560 cm into m and cm e) 5000 m into km f) 8000 m into km

g) 1 m 40 cm into cm h) 3 m 50 cm into cm i) 1330 m into km and m

j) 3570 m into km and m k) 1 km 450 m into m l) 4 km 510 m into m

4. Let's write centimetre (cm) and millimetre (mm) in decimal of centimetre (cm).

a) 2 cm 5 mm b) 3 cm 4 mm c) 4 cm 8 mm d) 5 cm 1 mm

e) 6 cm 7 mm f) 7 cm 2 mm g) 8 cm 6 mm h) 9 cm 3 mm

5. Let's write the metre and centimetre in decimal of metre.

a) 1 m 12 cm b) 1 m 50 cm c) 2 m 10 cm d) 3 m 85 cm

e) 4 m 60 cm f) 5 m 48 cm g) 6 m 96 cm h) 7 m 75 cm

vedanta Excel in Mathematics - Book 3 198 Approved by Curriculum Development Centre, Sanothimi, Bhaktapur

We and Our Daily lives - 3

Addition and subtraction of length

Classwork – Exercise

1. Let's add centimetres (cm), millimetres (mm), metres (m) and kilometres (km)
separately.

a) 2 cm 3mm b) 3 cm 2 mm c) 4 cm 5 mm
+ 3 cm 4 mm + 1 cm 3 mm + 4 cm 2 mm

5 cm 7 mm

d) 8 m 15 cm e) 12 m 45 cm f) 20 m 60 cm
+ 7 m 40 cm + 13 m 35 cm + 10 m 10 cm

g) 3 km 100 m h) 10 km 260 m i) 32 km 180 m
+ 5 km 200 m + 14 km 440 m + 15 km 370 m

2. Let's subtract centimetres (cm), millimetres (mm), metres (m) and kilometres
(km) separately.

a) 5 cm 6 mm b) 9 cm 8 mm c) 15 cm 7 mm
– 2 cm 4 mm – 6 cm 5 mm – 8 cm 2 mm

d) 8 m 50 cm e) 10 m 40 cm f) 25 m 65 cm
– 3 m 20 cm – 4 m 15 cm – 16 m 35 cm

g) 7 km 200 m h) 13 km 350 m i) 35 km 430 m
– 4 km 100 m – 6 km 220 m – 16 km 350 m

Approved by Curriculum Development Centre, Sanothimi, Bhaktapur 199 vedanta Excel in Mathematics - Book 3

We and Our Daily lives - 3

3 Let's add millimetres (mm) and regroup into centimetres (cm) and millimetres
(mm).

a) 5mm + 8 mm = 13 mm = 1 cm 3 mm I got it!
b) 7 mm + 9 mm = = 13 mm
c) 8 mm + 6 mm = = = 10 mm + 3 mm
= 1 cm 3 mm

d) 4 mm + 7 mm = =

e) 9 mm + 6 mm = =

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

a) 50 cm + 70 cm = 120 cm = 1 m 20 cm It's easy!
b) 80 cm + 50 cm = = 120 cm
c) 90 cm + 60 cm = = =100 cm + 20 cm
= 1 m 20 cm

d) 40 cm + 80 cm = =

e) 70 cm + 30 cm = =

5. Let's add metres (m) and regroup into kilometres (km) and metres.

a) 600 m + 800 m = 1400 m = 1 km 400 m I understood!
b) 500 m + 700 m = = 1400 m
c) 400 m + 900 m = = =1000 m + 400 m
= 1 km 400 m

d) 750 m + 850 m = =

e) 650 m + 450 m = = Approved by Curriculum Development Centre, Sanothimi, Bhaktapur

vedanta Excel in Mathematics - Book 3 200