NCERT solutions for Math - Magic [English] Class 5 chapter 4 - Parts and Wholes [Latest edition]

You must have seen the flag of our country. Do you know how to draw the flag?

Draw a rectangle of length 9 cm and a width of 6 cm. Divide it into three equal parts and complete the flag.

The top one-third of our flag is saffron (or orange).

What is the color of the middle one-third of the flag?

Where will you draw the Ashoka chakra?

How much of the flag will you colour green?

Is the white colour now less than `1/3` of the flag? Why?

Now, look at this flag. How much of it is black?

The green part of the flag can be written as ______

Is red less than one-third of the flag? Why?

This is the flag of Myanmar, our neighbor.

• Is blue more than one-fourth of the flag or less?
• Guess how much of the flag is red. Is it more than `1/2`? Is it more than three-fourths?

Collect as many flags as you can.

How many flags have three colours? Are all the coloured parts equal in these flags?

This is the flag of the Math Club in a school in Kerala. What part of the flag is colored red? What part is green?

Is there a Math Club in your school? If not, ask your teacher how to set it up. Design a flag for your Math Club. Draw it here.

Have you used the red colour? What part of the flag did you color red? 

What were the other colors you chose? 

What do you see? Can you see all the colors? Write, what you see in your notebook.

Chocolate Bar
Manju had chocolate. She gave one-fourth of it to Raji, one-third to Sugatha, and one-sixth to Sheela. She ate the remaining part. How many pieces of chocolate did each get? Write here.

What part of the chocolate did Manju eat?

Colour the Hats

Colour `1/3` of the hat's red.
Colour three-fifth of hats blue.

How many hats did you colour red?

Colour the Hats

Colour `1/3` of the hat's red.
Colour three-fifth of hats blue.

How many hats did you colour blue?

Colour the Hats

Colour `1/3` of the hat's red.
Colour three-fifth of hats blue.

What parts of the hats are not coloured?

Equal Parts of a Triangle

The white triangle is divided into three equal parts. Fill each one-third part with a different colour. Can you show that these parts are equal? Think how.

Equal Parts of a Triangle

Now try to make three equal parts of this triangle in a different way. Colour each one third with a different colour.

Six parts of a Rectangle

Rani has divided a green rectangle into six equal parts like this.

Now you divide each of these rectangles into six equal parts. Use a different way for each of the three rectangles.

How will you check that each part is really one-sixth of that rectangle?

The green rectangle is bigger than the blue one. Can we say that `1/6` of the green rectangle is bigger than `1/6` of the blue rectangle?

What happened after that? Complete the story. What part of the prize did the poet get?

Make different patterns by colouring some squares in the grids B, C, D. What part of the grid did you colour? What part of the grid remained white? Write

`8/16` Blue, `8/16` White

Look at grid A again. Is the grid coloured -

Mark (X) on the wrong answer.

Draw grids of 16 squares and make patterns with

`2/8` red, `1/2` yellow, `1/` green

Draw grids of 16 squares and make patterns with

`3/16` blue, `5/16` red, `1/2` yellow

Ramu’s vegetable field has 9 equal parts. What vegetables does he grow?

Which vegetable grows in the biggest part of his field? What part?

On what part of the field does he grow potatoes?

What part of the field is used to grow spinach? What part is used for brinjals?

Now you write some questions by looking at this picture.

Ramu wanted to give these vegetables to his friends. He gave Aboobacker one-fifth of these tomatoes and `1/3` of the potatoes. Srija got `2/5` of the tomatoes and `3/6` of the potatoes. Nancy got the rest of these vegetables. Circle Aboobacker’s share in blue. Circle Srija’s share in yellow.

How many potatoes and tomatoes did Nancy get?

[This game is to be played in groups of 4. Each player has to make a circle as shown. Each one has to make 15 tokens on slips on paper.

Write `1/2, 1/3, 1/4, 1/6, 1/12, 2/12, 3/12, 4/12,...11/12` to make your tokens.

Shuffle, the tokens and make a pile in the middle of the group. Now you are ready to start the game.

The first player takes a token from the pile, colours that part of the picture, and puts the token under the pile. The next player does the same, and so on. The winner is the one who first colours the circle completely.]

• Who won the game?

[This game is to be played in groups of 4. Each player has to make a circle as shown. Each one has to make 15 tokens on slips on paper.

Write `1/2, 1/3, 1/4, 1/6, 1/12, 2/12, 3/12, 4/12,...11/12` to make your tokens.

Shuffle, the tokens and make a pile in the middle of the group. Now you are ready to start the game.

The first player takes a token from the pile, colours that part of the picture, and puts the token under the pile. The next player does the same, and so on. The winner is the one who first colours the circle completely.]

• What are the winner’s tokens?

[This game is to be played in groups of 4. Each player has to make a circle as shown. Each one has to make 15 tokens on slips on paper.

Write `1/2, 1/3, 1/4, 1/6, 1/12, 2/12, 3/12, 4/12,...11/12` to make your tokens.

Shuffle, the tokens and make a pile in the middle of the group. Now you are ready to start the game.

The first player takes a token from the pile, colours that part of the picture, and puts the token under the pile. The next player does the same, and so on. The winner is the one who first colours the circle completely.]

• Write the tokens you got.

[This game is to be played in groups of 4. Each player has to make a circle as shown. Each one has to make 15 tokens on slips on paper.

Write `1/2, 1/3, 1/4, 1/6, 1/12, 2/12, 3/12, 4/12,...11/12` to make your tokens.

Shuffle, the tokens and make a pile in the middle of the group. Now you are ready to start the game.

The first player takes a token from the pile, colours that part of the picture, and puts the token under the pile. The next player does the same, and so on. The winner is the one who first colours the circle completely.]

• What part of the circle did you colour?

Divide the white area in square A into two equal parts. Got the answer? Was that easy?

Divide the white area in square B into three equal parts!
That too is easy, isn’t it?

Divide the white area in square C into four equal parts!!
Is it a bit difficult? Don’t worry, take your time.
Only if you have given up, look for the answer.

Divide the white area in square D into seven equal parts!
The world record for this is 7 seconds.

What part of the shape is coloured?

First, guess the answer, then check.

Do you remember this picture? Look at the small triangle. What part of the square is it? How will you find this out?

Divide the big triangles and other shapes into small triangles (like the red one). How many small triangles are there altogether?

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

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

Here the circle is ____________.

Here the circle is ____________

So we can say that

`1/2 = 2/"----" = "----"/6 = "----"/8`

Ramesh bought a piece of halwa for his children Ammu and Anu.

He divided it equally for them.

Each will get ____________ part of halwa.

This piece is too big. We can’t eat it”, they said. So he divided the pieces into half again.

Now, how many pieces will Ammu get?

What part of the halwa is it?

“Make it even smaller, Dad”, they asked
So he again cut the halwa into smaller pieces.
“Ok, thank you, Dad.”

Now how many pieces will each get?

What part of the halwa is each piece now?

If Ramesh had cut the halwa into 6 equal parts how many pieces would each have got? Look at your answers for questions 1 to 4 and write -

`1/2 = "______" = "______" = "______" = "______" = "______"`

Look at the picture. Write what part of the strip is each green piece. Write the part for a piece of each colour.

• How many one-fourths will make a half?
• How many `1/8` will make `1/4`?
• How many `1/8` will make `1/2`?
  

Look at this square.

• What part is coloured blue?
• What part is green?

Ammini says half of half and one-third of three-quarters are equal. Do you agree? How will you show this?

This shows `1/5` petals of a flower. Complete the flower by drawing the other petals.

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

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

How many  will make one rupee?

Is 50 paise half of one rupee?

How many 25 paise will make one rupee?

25 paise is ____________ part of one rupee.

20 paise is ____________ part of one rupee.

How many 10 paise will make one rupee?

So 10 paise is ____________ part of one rupee.

How did this happen? Discuss

Sleeping: One-third of a day

Use different colours to show

Playing: One-eighth of a day

Studying: of a day 

how many hours does Arun take for

A school has decided to bring out a magazine every quarter of the year. How many magazines will they have in a year? If they want to print it at the end of each quarter of a year, which are the months for printing? Mark the number for those months.

Have you heard of Kumbhakarna, the brother of Ravana? He is famous for sleeping for half a year.

Most people sleep about 8 hours a day. Then what part of a day is it?

So what part of a year do they sleep? A person 60 years old must have slept ____________ years!!!

Look at the yellow price list.

How much does 2 kg of tomato cost?

Look at the yellow price list.

How much does `1/2` kg of tomato cost?

Look at the yellow price list.

Kiran wants `2 1/2` kg of tomato. How much will it cost?

Look at the yellow price list.

How much does `3 1/2` kg potato cost?

Look at the yellow price list.

What is the price of `1 1/4` kg of carrot?

Look at the yellow price list.

He bought a gourd of weight `4 3/4` kg and it costs?

Look at the shopping list in Keerti’s hand.

How much will she have to pay to buy all of these?

Make a bill of your own for vegetables you want to buy. Find the total money you will have to pay.

Raheem’s journey

Raheem has to travel `1 1/4` km to reach school. What distance does he travel to go to school and come back home?

What coins?

Latha bought a pencil and a pen for seven and a half rupees. She gave Rs 10/−. The shopkeeper gave back the money in half and quarter rupees. What are the coins she got?

At the railway station

Your attention, please. Mangalore Express coming from Mangalore and going to Thiruvananthpuram is now running late by half an hour.

Oh, the train is late today. The right time is quarter to 7.

• What time is the train expected to come today?

At the railway station

Your attention, please. Mangalore Express coming from Mangalore and going to Thiruvananthpuram is now running late by half an hour.

Oh, the train is late today. The right time is quarter to 7.

• Nazia gets off at a station after `2 1/2` hours from this station. What time will she get off?

At the railway station

Your attention, please. Mangalore Express coming from Mangalore and going to Thiruvananthpuram is now running late by half an hour.

Oh, the train is late today. The right time is quarter to 7.

• Shaji will take 5 hours to reach Ernakulam by this train. At what time will he reach there?