Chapter 4: Parts and Wholes

Solution:-

This circle is divided into two equal parts. Out of equal 2 parts, one part is coloured blue.

(ii)

Here, the circle is divided into equal parts. Out of equal parts, parts are coloured blue.

Solution:-

Here, the circle is divided into four equal parts. Out of four equal parts, two parts are coloured blue.

(iii)

Here, the circle is…………………………………………………………

Solution:-

Here, the circle is divided into six equal parts. Out of six equal parts, three parts are coloured blue.

(iv)

Here, the circle is…………………………………………………………

Solution:-

Here, the circle is divided into eight equal parts. Out of eight equal parts, four parts are coloured blue.

So, we can say that ½ = (2/4) = (3/6) = (4/8)

Solution:-

Each will get ½ part of the halwa.

This piece is too big. We can’t eat it, they said.

(ii) So he divided the pieces into half again. Now, how many pieces will Ammu get?

Solution:-

Ammu gets two pieces.

(iii) What part of the halwa is it?

Solution:-

2/4 part of halwa, or ½ part of halwa.

“Make it even smaller, Dad,” they asked.

So, he again cut the halwa into smaller pieces.

“Ok, thank you, Dad.”

(i) Now, how many pieces will each get?

Solution:-

Now, Ammu and Anu get four pieces each.

(ii) What part of the halwa is each piece now?

Solution:-

Each piece is now 1/8 part of halwa.

(iii) If Ramesh had cut the halwa into 6 equal parts, how many pieces each have got? Look at your answers for questions 1 to 4 and write — ½ = = =

Solution:-

If Ramesh had cut the halwa into 6 equal parts, each got 3 pieces of halwa.

Then,

½ = 2/4 = 3/6 = 4/8 = 5/10 = 6/12

Solution:-

(ii) How many one-fourths will make a half?

Solution:-

Two one-fourth will make a half.

= ¼ + ¼

= 2/4 [divide both numerator and denominator by 2]

= ½ = half

(iii) How many 1/8 will make ¼?

Solution:-

Two 1/8 will make ¼.

= 1/8 + 1/8

= 2/8 [divide both numerator and denominator by 2]

= ¼

(iv) How many 1/8 are in ½?

Solution:-

Four 1/8 are in ½.

= 1/8 + 1/8 + 1/8 + 1/8

= 4/8

= ½ [divide both numerator and denominator by 4]

Solution:-

From the above figure, we can say that out of 16 squares, 2 squares are coloured blue.

i.e. 2/16 or 1/8 part is coloured blue.

(ii) What part is green?

Solution:-

From the above figure, we can say that, out of 16 squares, 1 square is coloured green.

i.e., 1/16 part is coloured green.

Solution:-

(ii) The picture shows one-third of the blades of a fan. Complete the picture by drawing the other blades.

Solution:-

(iii) Half of the blades of another fan are shown here. Complete the picture by drawing the other half. How many blades have you drawn?

Solution:-

Solution:-

Two 50 paise coins make one rupee coin.

(ii) Is 50 paise half of one rupee?

Solution:-

Yes, 50 paise is half of one rupee.

(iii) How many will make one rupee?

Solution:-

Four 25 paise coins make one rupee.

(iv) 25 paise is _________ part of one rupee

Solution:-

25 paise is ¼ part of one rupee.

(v) 20 paise is _________ part of one rupee

Solution:-

20 paise is 1/5 part of one rupee.

Five 20 paise coins make one rupee.

(vi) How many 10 paise will make one rupee?

Solution:-

Ten 10 paise coins make one rupee.

(vii) So, 10 paise is _____ part of one rupee.

Solution:-

So, 10 paise is 1/10 part of one rupee.

Solution:-

We know that, 24 hours in a day and above figure contains 25 box.

So, Arun spent one eighth of a day for playing = (1/8) × 24

= 1 × 3

= 3 hours = 3 box

He spent ¼ of a day for studying = ¼ × 24

= 1 × 6

= 6 hours = 6 box

Sleeping Playing Studying Other activities

(i). How many hours does Arun take for Sleeping, studying and Playing?

Solution:-

8 hours for sleeping, 6 hours for studying and 3 hours for playing.

(ii) What part of the day does he use for other activities?

Solution:-

He uses the 7/24 part of the day for other activities.

Solution:-

From the question, it is given that the school has decided to bring out a magazine every quarter of the year.

We know that there are 12 months in a year.

Quarter of the year = ¼ × 12

= 1 × 3

= 3 months

So, every three months, the school has to bring out a new magazine.

Solution:-

We know that, 24 hours a day.

Given, most people sleep about 8 hours a day = 8/24

= 1/3 part of a day

(ii) So what part of the year do they sleep? A person 60 years old must have slept _______ years!!!

Solution:-

A person 60 years old must have slept for = 1/3 × 60

= 1 × 20

= 20 years

Solution:-

From the price list, 1 kg of tomato = ₹ 12

Then, the cost of 2 kg of tomato = 12 × 2

= ₹ 24

b) How much does kg of tomato cost?

Solution:-

From the price list, 1 kg of tomato = ₹ 12

c) Kiran wants 2½ kg of tomato. How much will it cost?

Solution:-

From the price list, 1 kg of tomato = ₹ 12

For ½ kg of tomato = ½ × 12

= ₹ 6

Then, the cost of 2 kg of tomato = 12 × 2

= ₹ 24

So, the cost of 2½ kg of tomato = 24 + 6

= ₹ 30

d) How much does 3½ kg potato cost?

Solution:-

From the price list, 1 kg of potato = ₹ 10

For ½ kg of potato = ½ × 10

= ₹ 5

Then, 3 kg of potato = 3 × 10

= ₹ 30

So, cost of 3½ kg of potato = 30 + 5

= ₹ 35

e) What is the price of 1¼ kg of carrot?

Solution:-

From the price list, 1 kg of Carrot = ₹ 18

For ¼ kg of carrot = ¼ × 18

= 9/2

= ₹ 4.5

Then, 1¼ kg of carrot = 18 + 4.5

= ₹ 22.5

f) She bought a gourd of weight 4¾ kg, and it costs?

Solution:-

From the price list, 1 kg of gourd = ₹ 8

For 4 kg of gourd = 8 × 4

= ₹ 32

For ¾ kg of gourd = ¾ × 8

= 3 × 2

= ₹ 6

Then, cost of 4¾ kg of gourd = 32 + 6

= ₹ 38

g) Look at the shopping list in Keerti’s hand. How much will she have to pay to buy all of these?

Solution:-