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Vedanta Excel in Mathematics Book 3 Final (2078)

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Published by PHILOMATH Contextualizing Mathematics, 2021-06-25 23:32:18

Vedanta Excel in Mathematics Book 3 Final (2078)

Vedanta Excel in Mathematics Book 3 Final (2078)

We and Our Daily lives - 3

EXERCISE

Let's read the problems carefully. Solve them in your exercise books.

1. a) Yayabar has 6 cm 3 mm long green pencil and 5 cm 4 mm long yellow pencil. Find
the total length of his two pencils.

Length of green pencil =

Length of yellow pencil =

Total length of two pencils =

b) Rekha used 1 m 20 cm of green ribbon and 2 m 30 cm pink ribbon to make a lower.
How much ribbon did she use in all?

c) The length of the parts of a pole inside soil is 1m 25 cm and above the ground is 7
m 60 cm. Find the total length of the pole?

d) A ringroad is 24 m 75 cm wide. It has 3 m 15 cm wide cycle track along its one side.
What is the total width of the road with the cycle track?

2. a) The wall of a classroom is 15 m 60 cm long and a white board ixed on it is 4 m 35
cm long. By how much is the wall longer than the board?

The length of the wall =

The length of the white-board =

The wall is longer than the board by =

b) The length of a play ground is 50 m 80 cm and its breadth is
30 m 50 cm. By how much is the length longer than its breadth?

c) From a ribbon which is 18 m 75 cm long, a piece of length
5 m 40 cm is cut off to make a lower. What is the length of the remaining ribbon?

d) The string of a lying kite was 56 m 60 cm long. A part of it was cut by another lying
kite and 40 m 25 cm longth of string was left. What length of the string of the kite
was cut?

Approved by Curriculum Development Centre, Sanothimi, Bhaktapur 201 vedanta Excel in Mathematics - Book 3

We and Our Daily lives - 3

Map and distance

3. Let's read the map of our country Nepal. Tell and write the answer in your exercise
book.

North

West East

South

Dhangadhi AttariCyahisapani Tulsipur Pokhara
Mugling
Kathmandu
Nepalgunj Butwal Dhankuta
Hetauda
Dharan
Simara Itahari
Birgunj
Biratnagar

a) In which direction is Biratnagar from Kathmandu?

b) Which place is nearer Nepalganj or Butwal from Tulsipur?

c) Which place is farther Pokhara or Dharan from Hetauda?

d) Dharan is 15 km 700 m north from Itahari and Dhankuta is 49 km
200 m north from Dharan. Then the distacne between Itahari to Dhankuta is
+=

e) Simara is 38 km 500 m south from Hetauda and Birganj is 19 km
300 m south from Simara. Then the distance between Hetauda to Birganj is
+=

f) Karnali (Chisapani) is 82 km 400 m west from Kohalpur and Attariya is 72 km
300 m west from Chisapani. Then the distance between Kohalpur to Attariya is
+=

g) Mugling is 110 km 300 m west from Kathmandu and Pokhara is 92 km 300 m west
from Mugling. Then the distance between Kathmandu and Pokhara is

+ = Approved by Curriculum Development Centre, Sanothimi, Bhaktapur

vedanta Excel in Mathematics - Book 3 202

We and Our Daily lives - 3

Perimeter - The distance all the way round

Classwork – Exercise

1. Each room of the graphs represents of 1 cm length. Let's tell and write how far
Mickey Mouse has to walk to get round each rectangle.

4 cm 2 cm 4 cm
5 cm 5 cm

3 cm 3 cm

4 cm

14cm

6 cm 5 cm
3 cm

4 cm

The distance all the way round is the perimeter of the 4 cm 2 cm
rectangle. So, the perimeter of a rectangle is the total of 5 cm
the lengths of its 4 sides.

Similarly, the perimeter of the given triangle is

5 cm + 4 cm + 2 cm = 11 cm.

Approved by Curriculum Development Centre, Sanothimi, Bhaktapur 203 vedanta Excel in Mathematics - Book 3

We and Our Daily lives - 3

Measurement of Perimeter

2. Let's ind the perimeter of these plane igures.

a) 5 cm b)

2 cm 2 cm 3 cm 5 cm

5 cm Perimeter = 4 cm +
=
Perimeter = 5 + 2 + 5 + 2 +
= 14cm

3 cm

c) d) 6 cm

3 cm 3 cm 5 cm

Perimeter = 3 cm + 4 cm
=
++ Perimeter = + +
e) f) =
2 cm

5 cm 3 cm
5 cm
5 cm 3 cm

Perimeter = 4 cm + Perimeter = + +
= =
++ 2 cm
g) h)
4 cm +
2 cm
7 cm 4 cm
9 cm

Perimeter = 4 cm Perimeter = + +
= =
++

vedanta Excel in Mathematics - Book 3 204 Approved by Curriculum Development Centre, Sanothimi, Bhaktapur

We and Our Daily lives - 3

3. Let's measure the length of sides of these plane igures and ind their perimeters.

a) C AB = b) S R PQ =
BC = QR =
A CA = P RS =
SP =
B
Q

Perimeter = Perimeter =
= =

c) H G d) Y

E EF = Z
FG =
GH = WX =
HE = XY =
YZ =
F ZW =

WX

Perimeter = Perimeter =

==

4. It's your time! Let's draw two rectangles of your choice on the graph, then ind
the perimeters of your rectangles.

Perimeter of a rectangle = Perimeter of a rectangle =

Approved by Curriculum Development Centre, Sanothimi, Bhaktapur 205 vedanta Excel in Mathematics - Book 3

We and Our Daily lives - 3

Area - Space covered by a surface

ABCD is a surface of a book. PQRS is a surface of a board D C Q
B P R
duster. Which surface is covering more space? Which S

surface is covering less space? So, the book has greater A

surface than that of the duster.
A greater surface has more area than a smaller surface.
The space covered by a surface is the area of the surface.

Classwork – Exercise

1. Let's observe the surface of these pairs of objects. Write G for the greater area
and S for the smaller area.

Each side of the given square is 1 cm. So, the area of this square is 1 cm
1 square centimetre.
We write it as 1 sq. cm. 1 cm 1 cm

It's area is 2 sq. cm. 1 cm

It's area is 3 sq. cm.

vedanta Excel in Mathematics - Book 3 206 Approved by Curriculum Development Centre, Sanothimi, Bhaktapur

We and Our Daily lives - 3

Measurement of Area

2. The area of each square is 1 sq. cm. Let's tell and write the area of these igures.

a) b) c)

Area = sq. cm Area = sq. cm Area = sq. cm
d) e) f)

Area = sq. cm Area = sq. cm Area = sq. cm
g) h) i)

Area = sq. cm Area = sq. cm Area = sq. cm

3. Let's tell and write the area of rectangles and squares in sq. cm.

a) b) c)

Area = sq. cm Area = sq. cm

Area = sq. cm

Approved by Curriculum Development Centre, Sanothimi, Bhaktapur 207 vedanta Excel in Mathematics - Book 3

We and Our Daily lives - 3

Research and Investigation Time!

Classwork – Exercise

1. Let's count the number of square rooms along the length and breadth of
rectangles. Multiply the numbers. Count all the square rooms of each rectangle
and ind the area in sq. cm.

a) Number of square rooms along length = 2breadth
Number of square rooms along breadth = 3

Product of numbers = 2 × 3 = 6

length Number of all square rooms in the rectangle = 6

Area of rectangle = length × breadth = 2 × 3 = 6 sq. cm

b) Number of square rooms along length =
Number of square rooms along breadth =
Product of numbers = × =
Number of all square rooms in the rectangle =

Area of rectangle =

c) Number of square rooms along length =
Number of square rooms along breadth =
Product of numbers = × =
Number of all square rooms in the rectangle =

Area of rectangle =

d) Number of square rooms along length =
Number of square rooms along breadth =
Product of numbers = × =
Number of all square rooms in the rectangle =

Area of rectangle =

vedanta Excel in Mathematics - Book 3 208 Approved by Curriculum Development Centre, Sanothimi, Bhaktapur

We and Our Daily lives - 3

Weight - Conversion of units of weight

Let's recall! 1000 grams (g) make 1 kilogram (kg) 1 kg = 1000 g
2000 grams (g) = 2 kilograms (kg) 2 kg = 2000 g
3000 grams (g)= 3 kilograms (kg) 3 kg = 3000 g

Classwork – Exercise
1. Let's tell and write, how many kg and how many g?

a) 4000 g = kg and 4 kg = g

b) 5000 g = kg and 5 kg = g

c) 6000 g = kg and 6 kg = g

d) 9000 g = kg and 9 kg = g

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

a) How many 50 g weights make 200 g?

b) How many 100 g weights make 500 g?

c) How many 500 g weights make 1 kg?

d) How many 1 kg weights make 10 kg?

e) How many 2 kg weights make 8 kg?
3. Let's tell and write, how many kg and how many g?

a) 1200 g = 100 g + 200 g = 1 kg 200 g kg g
b) 1300 g = + = kg g
c) 1400 g = + = kg g
d) 2500 g = + = kg g
e) 3250 g = + =

Approved by Curriculum Development Centre, Sanothimi, Bhaktapur 209 vedanta Excel in Mathematics - Book 3

We and Our Daily lives - 3

Addition and Subtraction of Weight

4. Let's tell and write, how many grams (g)?

a) 1 kg 250 g = 1000 g + 250 g = 1250 g

b) 1 kg 200 g = g + g = g

c) 1 kg 350 g = g + g = g

d) 2 kg 400 g = g + g = g

e) 3 kg 500 g = g + g = g

EXERCISE

1. Let's add grams (g) and kilograms (kg) separately in your exercise book.

2 kg 300 g + 3 kg 500 g = 2 kg 300 g
+ 3 kg 500 g

5 kg 800 g

a) 1 kg 200 g + 2 kg 300 g b) 2 kg 100 g + 2 kg 600 g

c) 3 kg 400 g + 4 kg 500 g d) 4 kg 250 g + 5 kg 350 g

e) 7 kg 450 g + 3 kg 100 g f) 8 kg 650 g + 4 kg 250 g

2. Let's subtract grams (g) and kilograms (kg) separately in your exercise book.

5 kg 450 g – 2 kg 250 g = 5 kg 450 g
– 2 kg 250 g

3 kg 200 g

a) 2 kg 300 g – 1 kg 200 g b) 3 kg 600 g – 2 kg 300 g
c) 4 kg 750 g – 1 kg 400 g d) 6 kg 850 g – 3 kg 450 g
e) 7 kg 900 g – 4 kg 350 g f) 10 kg 950 g – 6 kg 550 g

vedanta Excel in Mathematics - Book 3 210 Approved by Curriculum Development Centre, Sanothimi, Bhaktapur

We and Our Daily lives - 3

Addition and subtraction of weights in real life!

Let's read the problems carefully and solve them.

3. a) Father bought 2 kg 200 g of potatoes and 1 kg 500 g of tomatoes. Find the total
weight of vegetables he bought.

b) Mother bought 3 kg 350 g of apples and 2 kg 450 g of oranges. Find the total
weight of fruits she bought.

c) The weight of your school bag is 1 kg 100 g and the weight of books inside it is 2
kg 200 g. Find the total weight of the bag with books.

d) The weight of wheat lour in a bag is 4 kg 325 g. If you put
3 kg 550 g of more lour in it, ind the total weight of lour in the bag.

e) A fruit seller sold 15 kg 420 g of apples on Sunday and 24 kg 250 g of apples on
Monday. Find the total weight of apples sold in two days.

4. a) Mr. Tamang bought 9 kg 600 g of vegetables. If he bought 5 kg 400 g of cabbages and
the rest was cauli lower, how much cauli lower did he buy?

b) Mrs. Shah bought 7 kg 750 g of fruits. If she bought 4 kg 250 g of grapes and the
rest was mangoes, how much mangoes did she buy?

c) Sabina's weight is 20 kg 350 g and her mother's weight is
50 kg 900 g. By how much is mother heavier than Sabina?

d) The total weight of a school bag with books and stationery inside it is 3 kg 375 g.
If the wight of books and stationery is 2 kg 275 g, ind the weight of the bag.

e) The weight of Rohan is 18 kg 750 g which is 2 kg 560 g heavier than the weight of
Sohan. Find the weight of Sohan.

Approved by Curriculum Development Centre, Sanothimi, Bhaktapur 211 vedanta Excel in Mathematics - Book 3

We and Our Daily lives - 3

Capacity - Conversion of units of capacity

Let's recall! 1000 ml make 1 litre (l) 1 l = 1000 ml
2000 ml = 2 litres (l) 2 l = 2000 ml
3000 ml = 3 litres (l) 3 l = 3000 ml

Classwork – Exercise
1. Let's tell and write how many litres (l) and millilitres (ml)?

a) 4000 ml = l and 4 l = ml

b) 5000 ml = l and 5 l = ml

c) 6000 ml = l and 6 l = ml

d) 8000 ml = l and 8 l = ml

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

a) How many 100 ml jars ill a 500 ml jar?

b) How many 100 ml jars ill a 1 l jar?

c) How many 200 ml jars ill a 1 l jar?

d) How many 1 l jars ill a 5 l jar?

e) How many 2 l jars ill a 10 l jar?
3. Let's tell and write, how many litres (l) and millilitres (ml)?

a) 1300 ml = 1000 ml + 300 ml = 1 l 300 ml

b) 1200 ml = ml + ml = l ml

c) 1700 ml = ml + ml = l ml

d) 2500 ml = ml + ml = l ml

e) 3400 ml = ml + ml = l ml

vedanta Excel in Mathematics - Book 3 212 Approved by Curriculum Development Centre, Sanothimi, Bhaktapur

We and Our Daily lives - 3

Addition and subtraction of capacity
4. Let's tell and write, how many millilitres (ml)?

a) 1 l 150 ml = 1000 ml + 150 ml = 1150 ml

b) 1 l 250 ml = ml + ml = ml

c) 1 l 750 ml = ml + ml = ml

d) 2 l 400 ml = ml + ml = ml

e) 3 l 500 ml = ml + ml = ml

EXERCISE

1. Let's add litres (l) and millilitres (ml) separately in your exercise book.

3 l 400 ml + 4 l 550 ml = 3 l 400 ml
+ 4 l 550 ml
7 l 950 ml

a) 1 l 200 ml + 2 l 300 ml b) 2 l 250 ml + 4 l 400 ml

c) 3 l 550 ml + 5 l 250 ml d) 6 l 150 ml + 4 l 350 ml

e) 8 l 600 ml + 7 l 200 ml f) 9 l 750 ml + 7 l 150 ml

2. Let's subtract litres (l) and millilitres (ml) separately in your exercise book.

6 l 750 ml – 4 l 300 ml = 6 l 750 ml
– 4 l 300 ml
2 l 450 ml

a) 4 l 700 ml – 2 l 300 ml b) 7 l 550 ml – 4 l 350 ml
c) 9 l 850 ml – 5 l 400 ml d) 10 l 650 ml – 2 l 150 ml
e) 12 l 900 ml – 8 l 750 ml f) 15 l 750 ml – 7 l 500 ml

Approved by Curriculum Development Centre, Sanothimi, Bhaktapur 213 vedanta Excel in Mathematics - Book 3

We and Our Daily lives - 3

Addition and subtraction of capacities in real life!
Let's read the problems carefully and solve them.
1. a) A painter mixed 2 l 350 ml of red colour and 1 l 450 ml of yellow colour to make

orange colour paint. How much is the amount of orange colour paint?

b) A cow gives 5 l 400 ml of milk in the morning and 4 l 500 ml of milk in the evening.
How much milk does the cow give in a day?

c) A motorcylce tank has 7 l 250 ml of petrol. When you ill
8 l 500 ml of petrol the tank becomes full. Find the capacity of the tank.

d) A jar of water has 12 l 300 ml of water. When you poured 8 l 200 ml of water into
the jar, it becomes full. Find the capacity of the jar.

e) The capacity of a bigger vessel is 25 l 350 ml of milk and the capacity of a smaller
vessel is 15 l 150 ml of milk. Find the total capacity of these two vessels.

2. a) A painter makes 5 l 600 ml of pink coloured paint by mixing
3 l 450 ml of red colour and some white colour. How much white colour does the
painter mix in the pink coloured paint?

b) Father bought a jar of 5 l 500 ml of mustard oil. If 1 l 350 ml of oil is consumed in
two weeks, how much oil is left in the jar?

c) A cow gives 9 l 900 ml of milk in a day. If she gives 5 l 500 ml of milk in the morning,
how much milk does she give in the evening?

d) The capacity of a jar is 20 l 500 ml of water. If it has 8 l 200 ml of water, how much
water is needed to make it full?

e) The capacity of a bigger vessel is 30 l 750 ml and the capacity of a smaller vessel is
20 l 350 ml. By how much is the capacity of bigger vessel more than that of smaller
vessel.

vedanta Excel in Mathematics - Book 3 214 Approved by Curriculum Development Centre, Sanothimi, Bhaktapur

We and Our Daily lives - 3

Measurement - Volume

The given solid igure is a cube. It has length, breadth and height. The length, height

breadth and height of cube are always equal. length breadth

In the given cube, it's length is 1 cm, breadth is 1 cm and height is 1 cm. Therefore, it is a 1 cm
cube of 1 cubic centimetre.

So, it's volume is 1 cubic centimetre. We write 1 cubic centimetre as 1 cm 1 cm
1 cu. cm.

It is a cuboid. It is made up of 3 equal cubes of volume 1 cu. cm.1 cm
1 cm 1 cm 1 cm 1 cm each.

So, the volume of the cuboid is 3 cu. cm.

Classwork – Exercise

3. Each cube represents a volume of 1 cu. cm. Let's count the number of cubes. Then tell
and write the volume of each solid.

a) b) c)

Volume = Volume = Volume =
d) e) f)

Volume = Volume = Volume =
g) h) i)

Volume = Volume = Volume =

Approved by Curriculum Development Centre, Sanothimi, Bhaktapur 215 vedanta Excel in Mathematics - Book 3

Unit 12 Measurement - Capacity
Pictograph and Bar graph

Pictograph - Picture information

Class 3 students asked a question to their friends inside the classroom
yesterday. The question was 'which is their favourite fruit'?

The answers of the students were as followings.

10 students said apple 8 students said orange

7 students said mango 5 students said pomegranate
Favourite fruits

Apple

Orange

Mango

Pomegranate

The above diagram is a pictograph. It gives information with pictures or symbols.
'Favourite fruits' is the title of the pictograph. A title tells what the pictograph is about.
Now, let's answer the following questions.
a) How many students answered the question?
b) If there are 32 students in the class, how many

of them did not answer?
c) How many students did not like pomegranate?
d) Which one is the most popular fruits among them?
e) Which one is the least popular fruits among them?

vedanta Excel in Mathematics - Book 3 216 Approved by Curriculum Development Centre, Sanothimi, Bhaktapur

Pictograph graph

Classwork – Exercise
Once teacher made a few groups of students and asked them to count the number of
animals found outside the school premises. They counted the animals and made a
chart about the numbers.

Animals outside school premises

8

7

6

5

4

3

2

1
1. Let's answer the following questions from the above pictograph.
a) What is the title of the pictograph?
b) How many animals did they count in total?
c) Which animal did they count the highest in number?
d) Which animal did they count the least in number?
e) How many more dogs did they count than cat?
f) How many less cow did they count than dog?

Approved by Curriculum Development Centre, Sanothimi, Bhaktapur 217 vedanta Excel in Mathematics - Book 3

Pictograph graph

2. Once your teacher asked you to make different plane shapes by paper cutting.
You made the following shapes.

Now, let's show the number of these shapes you made in a pictograph.

8
7
6
5
4
3
2
1

a) Write the title of the pictograph.

b) How many pieces of shape did you make in total?

c) Which shape did you make the highest in number?

d) Which shape did you make the least in number?

e) How many more triangles did you make than rectangles?

f) How many less circles did you make than triangle?

vedanta Excel in Mathematics - Book 3 218 Approved by Curriculum Development Centre, Sanothimi, Bhaktapur

Bar graph

Bar graph

Again, let's show the information about the 'favourite fruits' by another way. This time
we will draw vertical bars in the graph paper. The height of the bars show the number of

students who like different fruits. Favourite fruits

10
9

8

7

Number of students 6

5

4

3

2

1

O

Fruits

1. Let's study the bar graph and answer these questions.
a) How many students like apple?
b) How many students like mango?
c) How many more students like apple than orange?
d) Which one is the most popular fruit among them?
e) Which one is the least popular fruit among them?
f) How many students were asked the question?

Approved by Curriculum Development Centre, Sanothimi, Bhaktapur 219 vedanta Excel in Mathematics - Book 3

Bar graph

Classwork – Exercise

A group of students of class 3 counted different animals they saw outside the school
premises as following.

Dogs - 8, Cows - 5, Birds - 7, Cats - 2, Goats - 3

1. Now, let's draw bar graphs to show these numbers.

Animals outside the school premises

8 Cow Birds cats Goats
7
6
5
4
3
2
1
0

Dog

In your project work, you made the following number of different plane shapes by
paper cutting.

Triangles - 8, Rectangles - 5, Circles - 3

2. Let's show these numbers in bar graphs.

Plane shapes

8
7
6

5
4
3
2
1
0

vedanta Excel in Mathematics - Book 3 220 Approved by Curriculum Development Centre, Sanothimi, Bhaktapur

Bar graph

In the next project work, teacher asked you to ind which one is the popular sports
among your friends. You asked your friends and found the following results.

Football - 10 Basketball - 8 Cricket - 7 Badminton - 5

3. Let's show these numbers in bar graphs and answer the following questions.

Favourite sports

10
9

8
7
6

5
4

3

2
1

0

Football Basketball Cricket Badminton

a) How many students answered your questions?

b) How many more students like football than cricket?

c) How many less students like badminton than basketball?

d) How many students like football and basketball?

e) Which one is the most popular sport among your friends?

f) Which one is the least popular sport among your friends?

g) What is the title of this bar graph?

Approved by Curriculum Development Centre, Sanothimi, Bhaktapur 221 vedanta Excel in Mathematics - Book 3

Unit 13 Letters and Numbers

Letters represents numbers

We can use letters to represent any numbers.

Classwork – Exercise
1. Let's tell and write what number do these letters represent?

a) There are x number of pencils. x =

b) There are y number of erasers. y =

c) There are x number of books. x =

d) There are p number of balls. p =

e) There are a number of sweets. a =

2. Let's tell and write the values of the letters.

a) x is the number of sides of a triangle. x =
b) y is the number of sides of a rectangle. y =
c) x is the number of students in your class. x =
d) y is the number of districts of Nepal. y =
e) p is the number of provinces of Nepal. p =

Addition of the same letters

Classwork – Exercise
1. Let's add the same objects (or the same letters) and ind the totals?

+ x+ x

1 pencil + 1 pencil = 2 pencils 1x + 1x = 2x

+ x x+x

2 pencils + 1 pencil = 3 pencils 2x + 1x = 3x

vedanta Excel in Mathematics - Book 3 222 Approved by Curriculum Development Centre, Sanothimi, Bhaktapur

Letters and Numbers

a) + pencils x x+x x

2 pencils + 2 pencils = 2x + 2x = x

b) + pencils x x x+x x

3 pencils + 2 pencils = 3x + 2x = x

+ apples y y y +y y y

c) 3y + 3y = y
3 apples + 3 apples =

2. Let's count the letters on the lash-cards. Then tell and write the total number
of letters?

a) x x + x x x b) x x x + x

2x + 3x = 5x 3x + x =

c) y y y y + y b) y y y y + y y

4y + y = 4y + 2y =

e) a a a + a a a a f) a a a a + a a a a

3a + 4a = 4a + 4a =

3. Let's count the number of letters in each of two bags. Then add and ind the
total number of letters.

a) x + xx x = xxxx x b) y +yy = yy y
x y y

2x + 3x = 5x + =

Approved by Curriculum Development Centre, Sanothimi, Bhaktapur 223 vedanta Excel in Mathematics - Book 3

Letters and Numbers

c) x = xxxx d) aa a = aaaaaa
xx aa a
+ x +

+= +=

e) pp ppppppppp f) xx xxxxxx xxxxxxxxxx
pp p xx
+ p p = + =
p p

+= + =

4. Let's add and ind the total number of letters.

a) x + x = b) y + y = c) a + a =

d) 2x + x = e) 2y + y = f) 2a + a =

g) 3x + 2x = h) 3y + 2y = i) 3a + 2a =

Subtraction of the same letters

Classwork – Exercise

1. Let's study the illustrations. Then tell and write the answer in the blank spaces.

x

x x
x

2 marbles – 1 marble = 1 marble 2x – x=x
xx
x xx x
x xx
x

5 apples – 2 apples = 3 apples 5x – 2x = 3x

vedanta Excel in Mathematics - Book 3 224 Approved by Curriculum Development Centre, Sanothimi, Bhaktapur

Letters and Numbers

a) coin = coins xxx x
coins – x– x= xx

x

b) x
x

x xxxx x xx
xx

coins – coins = coins x– x= x

c) yy y

yyy yy
yy

apples – apples = apples x– x= x

2. Let's take away the letter-cards. Say and write how many letters are left?

a) From x x take away x = x is left
From 2x take away x = 2x – x = x

b) From x x x take away x = x x are left
From 3x take away x = 3x – x =

c) From x x x take away x x = x are left
From 3x take away 2x = 3x – 2x =

d) From x x x x take away x x = x x are left

From 4x take away 2x = 4x – 2x = 225 vedanta Excel in Mathematics - Book 3

Approved by Curriculum Development Centre, Sanothimi, Bhaktapur

Letters and Numbers

e) From y y y y take away y y y = y is left

From 4y take away 3y = 4y – 3y =

f) From a a a a a take away a a a = a a are left

From 5a take away 3a = 5a – 3a =
3. Let's subtract and ind the difference of number of letters.

a) 2x – x = b) 3y – y = c) 2a – a =

d) 3x – 2x = e) 3y – 2y = f) 3a – 2a =

g) 5x – 3x = h) 5y – 3y = i) 5a – 3a =

j) 6x – 3x = h) 6y – 3y = i) 6a – 3a =

Addition of letters and numbers

Classwork – Exercise

1. Let's study the given illustrations. Then tell and write the correct answers in the

blanks spaces. x

There are x number of marbles in the bag and 1 more marble.

There are x + 1 marbles. x
There are 2x number of marbles in the bag and 3 more marbles.

There are 2x + 3 marbles.

a) x b) x

marbles marbles
c) x
d) x
x x

marbles 226 marbles

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

Letters and Numbers

Values of letters
Classwork – Exercise
Let's study the given illustrations. Then tell and write the values of the letters.

x marbles + 1 marbles = 3 marbles, then x = 2 marbles

y apples – 2 apples = 1 apple, then y = 3 apples

1. a) x marbles + 1 marble = 4 marbles, then x = marbles

b) x apples + 2 apples = 3 apples, then x = apples

c) y coins + 3 coins = 5 coins, then y = coins

d) y oranges + 2 oranges = 6 oranges, then y = oranges
e) a marbles + 4 marbles = 7 marbles, then a = marbles

f) a marbles + 1 marbles = 9 marbles, then a = marbles

2. a) x marbles – 1 marble = 1 marble, then x = marbles

b) x pencils – 2 pencils = 2 pencils, then x = pencils

c) y balls – 1 ball = 3 balls, then y = balls
marbles
d) y marbles – 2 marbles = 3 marbles, then y =

e) a coins – 3 coins = 1 coin, then a = coins

f) a coins – 4 coins = 2 coins, then a = coins

Approved by Curriculum Development Centre, Sanothimi, Bhaktapur 227 vedanta Excel in Mathematics - Book 3

Evaluation Model

1. Let's circle the correct answer as quick as possible. (1 × 10 = 10)

a) The place value of 5 in 5004 is 500 5000 50000
b) What comes just after 2999? 3000 300 30000

c) The short form of 7000 + 50 + 6 is 70506 7506 7056

d) Devanagari numeral for 9385 is !#*% (#*% (#%*

e) What is the product of 300 × 40? 12000 1200 120000

f) The remainder of 35 ÷ 4 is 48 3

g) What is the sum of 1 + 1 12 2
5 5 55 10

h) The fraction of the shaded diagram is 3 8 5
8 3 8

i) How many centimetre are there in 50 mm? 500 cm 5 cm 0.5 cm

j) How many grams are there in 3 kg? 3000 g 300 g 30 g

2. Let's answer the following questions. (1 × 10 = 10)

a) How many digits are there in the numeral 6001? ............................

b) The cost of a mobile is seven thousand two hundred rupees.

Write the cost in numeral. ................... rupees.

c) What is the place value of 9 in 4980? ............................

d) What is the sum of 3000 + 25? ............................

e) What is the product of 200 × 7 ? ............................
............................
f) What is the difference of 2 – 1 ............................
33 ............................
............................
g) How many metres are there in 3000 cm?
............................
h) How many millilitres are there in 1 l 500 ml?

i) What is the sum of 2x + 3x?

j) What is the name of the given angle O B

A?

vedanta Excel in Mathematics - Book 3 228 Approved by Curriculum Development Centre, Sanothimi, Bhaktapur

Evaluation Model

3. Find the perimeters of the following igures. (1 + 1 = 2)
(2 × 1 = 2)
a) A b) P 6 cm S
6 cm 3 cm
4 cm 3 cm 3 cm R

B 5 cm C Q

Perimeter = ................................ Perimeter = ................................

4. The area of each room is 1 sq. cm. Find the area of the following igures.

a) b)

Area = ................ sq. cm Area = ................ sq. cm

5. Let's answer following questions. (6 × 2 = 12)

a) Arrange the numbers 2001, 2100, 2010 in increasing and in decreasing order.

Increasing order .................................... Decreasing order ....................................

b) Let's write the numeral and number name from the given abacus

Th H T O

Numeral: ....................................

Number name: .........................................................................................

c) Let's write the fractions of the shaded parts and the crossed part. Then
subtract.

××× ...............................................................
×××
×××

d) Let's write the time shown by the clocks using a.m. or p.m.

.................................. ..................................

afternoon 229 morning

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

Evaluation Model

e) How many times, how many dots?
............... × ................ = ................

f) Let's draw circles and group the dots to show the division. Then ind the quotient.

18 ÷ 6 = .................. (2 × 2 = 4)
5. Let's ill in the missing numbers to complete the sums.

+ 8 = 15 5× = 20

a) + – + b) × × ×
–= ×3=

=== ===

16 + 5 = 10 × =

6. Let's add, subtract, multiply or divide. (4 × 2 = 8)

a) 5 3 7 5 b) 9 7 0 0 c) 6 2 4 d) 9) 918 )
+2869 – 4256 ×5

7. Let's add or subtract the units of measurement. (2 × 2 = 4)

a) 24 m 70 cm b) 36 l 840 ml
+ 16 m 35 cm – 18 l 650 ml

8. Simplify: (2)

a) 24 ÷ 3 × 2 + 5 – 6 = .................................................................................................................

b) Let's write the fractions in decimal and decimal in fraction. (1 + 1 = 2)

(i) 7 = ......................... (ii) 0.07 = .........................
10

9. Let's write the digits at ones, tens, hundreds and thousands places. Then write the place

values. (2)

vedanta Excel in Mathematics - Book 3 230 Approved by Curriculum Development Centre, Sanothimi, Bhaktapur

Evaluation Model

75 8 2 O=
T=
H= Evaluation Model
Th=

10. Let's write the corners, sides and name of these plane shapes. (2)

a) D C Corners are , , and
A Sides are , , and

B It's name is

b) Each cube represents the volume of 1 cu. cm. Find the volume of the following

solids. (2)

(i) (ii)

Volume =........................ Volume =........................
(2 × 2 = 4)
11. Let's add or subtract the like fractions.
(8 × 4 = 32)
a) 2 + 3 =........................................ = ....................
7 7

b) 4 – 2 =........................................ = ....................
5 5

12. Study the problems carefully and solve them.

a) The price of a mobile is Rs 8,650 and the price of a watch is Rs 5,975. By
how much is the mobile more expensive than the watch.

The mobile is more expensive by .............................

b) In a school assembly students are arranged in 15 rows with 18 students in
each row. How many students are there in the assembly.

There are ......................... students.

Approved by Curriculum Development Centre, Sanothimi, Bhaktapur 231 vedanta Excel in Mathematics - Book 3

Evaluation Model

c) Sita cut a cake into 8 equal pieces and she gave 2 pieces to her brother and 3 pieces to her
mother. What fraction of the whole cake did she give them in total?

She gave .........................................................................................................

d) A restaurant chef cut a cheese into a few number of equal pieces and took 7 parts of the
whole cheese to make a pizza. 10

(i) In how many pieces was the cheese cut into? ......................................................

(ii) What fraction of the whole cheese was left with the chef? ...........................

e) There calraess3?2..s..t..u...d..e...n..t..s...i..n...a....c..l.a...s..s...a..n...d....14....o...f..them are girls. How many girls and boys are there
in the

f) There are 30 men, 50 women and 20 children in a wedding party.

(i) How many people are there in the party? ........................................................

(ii) How many percent of people are men, women and children? .....................

g) If the cost of 5 kg of rice is Rs 450, ind the rate of cost of rice. ..........................

h) A jar of water has 12 l 300 ml of water. When you poured 8 l 200 ml of water into the jar it
becomes full. Find the capacity of the jar. .........................................

13. Let's study the bar graph and answer the following questions. (2)

Favourite sportsNumber of students
10

9
8
7
6
5
4
3
2
1
O Apple Orange Grapes Mango Gauva

Fruits

a) How many students like apple?

b) How many students like mango?

c) How many more students like orange than guava?

d) Which one is the most popular fruit among them?

vedanta Excel in Mathematics - Book 3 232 Approved by Curriculum Development Centre, Sanothimi, Bhaktapur


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