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Vedanta Excel in Mathematics - 2 Final (2078)

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Published by PHILOMATH Contextualizing Mathematics, 2021-06-25 23:30:13

Vedanta Excel in Mathematics - 2 Final (2078)

Vedanta Excel in Mathematics - 2 Final (2078)

We and Our Daily Lives - 3

Weight - Heavier and Lighter objects
1. Let's observe the things on the pan of the balances. Say and write which

one is heavier and lighter.
a) b)

is heavier. is heavier.

is lighter. is lighter.

So, a book has more weight. So, a box has more weight.

A pencil has less weight. An eraser has less weight.

2. Let's say and write 2 objects: one is heavier than other.

a) A is heavier than a

b) A is heavier than a

c) A is heavier than a

Remember! A heavier object has more weight than a lighter object.

3. Now, let's say and write which one has more weight.
a) b)

a pumpkin an apple a duster a mobile

has more weight. has more weight.

Approved by Curriculum Development Centre, Sanothimi, Bhaktapur 201 vedanta Excel in Mathematics - Book 2

We and Our Daily Lives - 3

Measuring weight

We use pan balance and different weights to measure the weight
of any objects.

We can also use a dial balance and spring balance to measure the weight
of objects.

We measure the weight of objects in grams
andkilograms.Wemeasure lighterobjects
in grams. We measure heavier objects in
kilogram. Gram (g) and kilogram (kg) are
the units of weights.

1. Let's observe the weights on a pan and objects on another pan of the
balances. Say and write the weight of objects.

a) b)

The weight of tomatoes is The weight of apples is
c) d)

The weight of cabbage is 202 The weight of rice is

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

We and Our Daily Lives - 3
Conversion of units of weight

Do you know? 1000 grams (g) make 1 kilogram (kg).
1. Let's fill in the blanks. How many kg, how many g?

2000 g = 2 kg and 2 kg = 2000 g I got it!
3000 g = 3 kg and 3 kg = 3000 g 1 kg = 1000 g
a) 4000 g = kg and 4 kg = 2 kg = 2000 g
b) 5000 g = kg and 5 kg =
g 3 kg = 3000 g

and so on...!!

g

c) 6000 g = kg and 6 kg = g

d) 7000 g = kg and 7 kg = g

e) 8000 g = kg and 8 kg = g

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

a) How many 500 g make 1 kg? I know it!
b) How many 200 g make 1 kg? 500 g + 500 g = 1000 g
c) How many 1 kg weights make 25 kg?
= 1 kg
So, two 500 g make 1 kg.

d) Your weight is 20 kg and your little sister's weight is 15 kg who is
heavier?

3. Let's add or subtract g and kg separately.

a) 2 kg 300 g b) 5 kg 450 g c) 10 kg 630 g

+ 3 kg 200 g + 4 kg 320 g + 15 kg 240 g

d) 7 kg 400 g e) 12 kg 550 g f) 24 kg 800 g
– 4 kg 100 g – 8 kg 320 g – 13 kg 260 g

Approved by Curriculum Development Centre, Sanothimi, Bhaktapur 203 vedanta Excel in Mathematics - Book 2

We and Our Daily Lives - 3

Addition and subtraction of weights in real life!

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

a) Mother buys 1 kg 500 g of tomatoes and 5 kg 200 g of
potatoes. How much vegetables does she buy altogether?

She buys kg g of vegetables.

b) Father buys 3 kg 450 g of apples and 3 kg 350 g of
pomegranates. How much fruits does he buy altogether?

He buys kg g of fruits.

c) The weight of your bag is 1 kg 200 g and the weight of
books inside the bag is 2 kg 300 g. What is the total weight
of the bag with books?

The total weight is kg g

d) There is 30 kg 500 g of rice in a bag. Your family inish
7 kg 250 g of rice in a week. How much rice is left in the
bag now?

kg g of rice is left.

e) Your weight is 21 kg 360 g and mother's weight is 56 kg
800 g. By how much mother is heavier than you?

Mother is heavier by kg g

f) A box of apples is 12 kg 300 g and the weight of the empty
box is 1 kg 250 g. Find the weight of apples.

The weight of apples is kg g

vedanta Excel in Mathematics - Book 2 204 Approved by Curriculum Development Centre, Sanothimi, Bhaktapur

We and Our Daily Lives - 3

Capacity
Let's observe these vessels. Say and write which one can hold more water
(or liquid)?

a jar a bottle a glass a jug

can hold more water. can hold more water.
can hold less water.
So, a jar has more capacity. can hold less water.
A bottle has less capacity. So, a jug has more capacity.

A glass has less capacity.

1. Let's say and write 2 vessels: one can hold more liquid than other.
A can hold more liquid than a
A can hold more liquid than a
A can hold more liquid than a

Remember! A vessel that holds more liquid has more
capacity. Amount of liquid a vessel can hold is it's capacity.

2. Now, let's say and write the vessel that has more or less capacity.

rice-cooker bowl cup bucket

A has less capacity. has more capacity.

Approved by Curriculum Development Centre, Sanothimi, Bhaktapur 205 vedanta Excel in Mathematics - Book 2

We and Our Daily Lives - 3

Measuring capacity

We use different standard jars to
measure the capacity of vessels. These
jars measure the amount of liquid.

We measure the amount of liquid in 200ml 500ml 1l
millilitres (ml) and litres (l).

We measure small amount of liquid in
ml and large amount of liquid in l.

So, millilitre (ml) and litre (l) are the units of capacity.

1. These jars can fill the vessels fully with liquid. Let's say and write the
capacity of the vessels.

a) b)

2

The capacity of the jug is l The capacity of the cooker is l
c) d)

55 52

55 500ml

The capacity of the jar is l The capacity of the bucket is l

vedanta Excel in Mathematics - Book 2 206 Approved by Curriculum Development Centre, Sanothimi, Bhaktapur

We and Our Daily Lives - 3

Conversion of units of capacity

Do you know? 1000 millilitres (ml) make 1 litre (l).

1. Let's fill in the blanks, how many l and how many ml?

2000 ml = 2 l and 2 l = 2000 ml

a) 3000 ml = l and 3 l = ml

b) 4000 ml = l and 4 l = ml We understood!
1l = 1000 ml
c) 5000 ml = l and 5 l = ml 2l = 2000 ml
3l = 3000 ml
and so on...!!

d) 6000 ml = l and 6 l = ml

e) 7000 ml = l and 7 l = ml

f) 8000 ml = l and 8 l = ml

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

a) How many jars of 500 ml capacity can ill a 1 l vessel?

b) How many jars of 100 ml capacity can ill a 1 l vessel?

c) How may jars of 2 l capacity can ill 20 l vessel?

Do you know? A 6 years old child has about 1 l 500 ml
of blood circulating in his/her body!

3. Let's add or subtract ml and l separately.

a) 3 l 400 ml b) 8 l 280 ml c) 15 l 620 ml
+ 16 l 290 ml
+ 4 l 300 ml + 5 l 550 ml

d) 9 l 500 ml e) 17 l 840 ml f) 30 l 750 ml
– 5l 150 ml – 7 l 460 ml – 17 l 370 ml

Approved by Curriculum Development Centre, Sanothimi, Bhaktapur 207 vedanta Excel in Mathematics - Book 2

We and Our Daily Lives - 3

Addition and subtraction of capacity in real life!

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

a) A cow gives 4 l 500 ml of milk in the morning and 4l 500 ml
3 l 250 ml of milk in the evening. How much milk does + 3l 250 ml
the cow give in a day?

She gives l ml of milk in a day.

b) Mother puts 7 l 400 ml of petrol in her scooter on
Sunday and 8 l 500 ml of petrol on Monday. How much
petrol does she put in her scooter in two days?

She puts l ml of petrol in two days.

c) There is 250 l 750 ml of water in a tank. A family used
up 110 l 480 ml of water on a day. How much water is
left in the tank?

l ml of water is left in the tank.

d) A shopkeeper has 320 l 600 ml of mustard oil. He sells
240 l 330 ml of oil in a week. How much oil is left with
him now?

l ml of oil is left with him.

e) The capacity of a jar is 20 l 500 ml and the capacity of
a bucket is 5 l 750 ml. How much more water does the
jar hold than the bucket?

The jar holds l ml of more water.

vedanta Excel in Mathematics - Book 2 208 Approved by Curriculum Development Centre, Sanothimi, Bhaktapur

Unit 13 Pictograph and Bar graphs

Pictograph - Picture information

Let's ask a question to your friends - "What is your favourite fruit?"

Their answers are like this -

9 friends say mango 7 friends say apple

6 friends say orange 4 friends say persimmons

2 friends say banana

Now, let's present this information by using pictures in a table.

Favourite fruits

Mango

Apple

Orange

Persimmons

Banana

It is a pictograph. It gives information with pictures or symbols. The title of the
above pictograph is 'Favourite fruits'. The title tells what the pictograph is about.

Can you tell and write how many friends were asked this

question?
Which one is the most favourite fruits among your friends?
Which one is the least favourite fruits among them?

Approved by Curriculum Development Centre, Sanothimi, Bhaktapur 209 vedanta Excel in Mathematics - Book 2

Pictograph and Bar graphsNumber of students

Bar graph

Now, let's show the same information 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
6
5
4
3
2
1
O

Fruits

1. Let's study the bar graph and answer these questions.

a) How many students like mango?

b) How many students like persimmon?

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?

vedanta Excel in Mathematics - Book 2 210 Approved by Curriculum Development Centre, Sanothimi, Bhaktapur

Pictograph and Bar graphs

Drawing time

Next day your teacher ask a question to the class. The question is 'which is your
favourite sports?' All the children of the class tell their favourite sports.

10 children like football 3 children like badminton

8 children like basketball 5 children like cricket

Now, it's your turn. Draw a bar graph to show the above information.Number of children

Favourite sports
11
10
9
8
7
6
5
4
3
2
1
O

2. Let's study your bar graph and answer these questions.

a) How many children like football?

b) How many more children like basketball than cricket?

c) How many students were asked the question?

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

e) What is the title of this bar graph?

Approved by Curriculum Development Centre, Sanothimi, Bhaktapur 211 vedanta Excel in Mathematics - Book 2

Pictograph and Bar graphs

Once your teacher gave you a project work. She asked you to make different plane
shapes by paper cutting. You made the following shapes.

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

8
7
6
5
4
3
2
1

a) How many circles did you make?

b) How many rectangles did you make?

c) How many more rectangles than circles did you make?
d) How many less circles than triangles did you make?

vedanta Excel in Mathematics - Book 2 212 Approved by Curriculum Development Centre, Sanothimi, Bhaktapur

Evaluation Model

1. Circle the correct answer as quick as possible. (1 × 10 = 10)

a) The place value of 2 in 423 is 20 200 2

b) What comes just before 1000? 1001 998 999

c) The short form of 600 + 20 + 5 is 6025 625 652

d) Devanagari numeral for 148 is !*$ $!* !$*

e) What is the difference of 12 and 6? 6 18 4

f) By how much is 1000 more than 990? 100 10 1

g) The remainder of 16 y 3 is 13 5

3

h) Three-quarter is 12 3
44 4

i) The shaded diagram to show 2 is
3

j) How many grams are there in 2 kg 100 g 1000 g 2000 g

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

a) How many digits are there in the numeral 300? ............................

b) The cost of a book is two hundred forty- ive. ................... rupees.
Write the cost in numeral.

c) What is the place value of 5 in 531? ............................

d) What is the sum of 400 + 600? ............................

e) What is the product of 8 × 7 ? ............................

f) What is the quotient of 72 ÷ 9? ............................

g) How many rupees are there in 400 p? ............................

h) How many cm are there in 2 m? ............................

i) By how much is 15 kg more than 8 kg? ............................

j) What is the name of the straight line E F ? ............................

3. The area of each room is 1 square room. Find the area of the following ϐigures. (2 × 1 = 2)

a) b)

Area = ................ square rooms Area = ................ square rooms

Approved by Curriculum Development Centre, Sanothimi, Bhaktapur 213 vedanta Excel in Mathematics - Book 2

Evaluation Model

4. Let's answer these questions. (2 × 7 = 14)

a) Write the sign < or > between these numbers.

389 ............... 388 480 ............... 408

b) Show the given numbers in abacus.

TO H TO

32 231

c) Write the fractions of the shaded parts.

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

d) Let's shade the parts to show the given fractions.

14
4 10

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

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

morning afternoon

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

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

15 ÷ 3 = ..................

5. Let's ϐill in the missing numbers to complete the sums. (2 × 2 = 4)

a) + 5 = 13 b) 2 × =8

+++ ×××

+2= ×=

=== ===

15 + = 6× = 24

vedanta Excel in Mathematics - Book 2 214 Approved by Curriculum Development Centre, Sanothimi, Bhaktapur

Evaluation Model (2 × 5 = 10)

6. Let's add, subtract, multiply or divide. e) 7)8 6 )

a) 2 6 8 b) 8 1 4 c) 2 4 d) 75 ÷ 5
+ 375 – 596 ×4

7. Let's add or subtract the units of measurement. (2 × 3 = 6)

a) 5 m 35 cm b) 15 kg 600 g c) 12 l 750 ml
+ 2 m 25 cm – 10 kg 800 g – 8 l 520 ml

8. Let's count by 2 s and 5s, then, ϐill in the missing numbers on the number lines.
(2 × 2 = 4)

a) 18 26 30
8

b) 35
15

9. Let's write the digits at ones, tens and hundreds places. Then write the place values. (2 × 2 = 4)

a) 2 5 8 b) 5 8 2

O= O=

T= T=

H= H=

10. Let's write the corners, sides and name of these plane shapes. (2 × 2 = 4)

a) Corners are , and
R

Sides are , and

P Q
It's name is

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

B It's name is

Approved by Curriculum Development Centre, Sanothimi, Bhaktapur 215 vedanta Excel in Mathematics - Book 2

Evaluation Model

12. Study the problems carefully and solve them. (7 × 4 = 28)

a) There are 245 girls and 268 boys in a school. How many students are
there in the school?

There are ............................ students in the school.

b) Father has 500 rupees. He spends 225 rupees to buy a book. How
many rupees are left with him now?

......................... rupees are left.

c) The cost of 1 kg vegetables is Rs 32. Find the cost of 3 kg of vegetables.

The cost is ......................... rupees.

d) Mother pays 72 rupees to buy 6 eggs. What is the cost of 1 egg?
Cost of 1 egg is ......................... rupees.

e) There are 27 students in a class. One-third of them are girls. How
many girls are there?

1 of .......................... = ............................ girls.
3

f) You need 1 m 10 cm of cloth to make a trousers and 1 m 15 cm of
cloth to make a shirt. How much cloth do you need altogether?

I need ..................... m ..................... cm cloth.

g) There are 30 kg 500 g of rice in a bag. A family inish 9 kg 350 g of
rice in a week. How much rice is left in the bag now?

..................... kg ..................... g of rice is left.

13. Let's study the bar graph and answer the Number of students 10 Favourite fruits
following questions. (4 × 1 = 4) 9 Fruits
a) How many students like mango? 8
7
b) How many students like persimmon? 6
5
c) How many more students like apple than 4
orange? 3
2
d) Which one is the most popular fruit among 1
them? O

vedanta Excel in Mathematics - Book 2 216 Approved by Curriculum Development Centre, Sanothimi, Bhaktapur


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