NCERT Solutions for Class 4 Maths Chapter 9 - Halves And Quarters

1. Half-Half If the cats ask you to divide the chapati equally, how will you divide it?

Ans: First fold the chapati into equal half to get the line and then cut it in two halves along that line.

2. Half of Half If two more cats come for food, how will you divide one chapati equally for four cats? 

Ans: I will first divide the chapati into half and further divide the halves into its half.

3. Half of Many Pieces Rani got a chocolate. She divided it equally and gave half to her friend Reena. • Circle the portion that Reena got. How many pieces of chocolate are there? _______ How many pieces were left with Rani? _______

Ans: 

If Rani divided the chocolate and gave half to her friend then she must be left with $6/2 = 3$ chocolates as there are $6$ pieces in the chocolate.

4. Draw different shapes using these triangles. One such shape is shown here. 

Ans: Arrange the tiles in such a way that the 2 sides of the triangle form the one diagonal of rectangle.

5. In how many different ways can you cut a rectangle into half? • Draw $5$ different ways. 

Can you check if they are equal? 

Ans: 

Yes, they are equal.

6. In how many different ways can you cut a rectangle into four equal parts? Draw $5$ different ways. 

Can you check if they are equal?

Ans: 

Yes, they are equal.

7. Cutting the Cake:

Rajni’s father brought a cake. She divided the cake into $4$ equal parts — for herself, her brother Raju, her father and her mother.

Colour each share with different colours. How much does each get? ________

Ans: 

There are a total of $4$ parts. If each of them gets one piece out of four then each one gets $\dfrac{1}{4}$ of the cake. 

8. Mother gave her share of cake to Rajni. Now colour the total part that Rajni will get.

Ans:  The part that rajni gets is colored in red.

9. Out of $4$ parts Rajni will get _________ parts, which is equal to half of the cake. So, she can write it as $\dfrac{}{4}$ or $\dfrac{1}{2}$.

Ans: Rajni will get $2$ parts out of $4$, that is equal to half of the cake. So, she can write it as either $\dfrac{2}{4}$ or $\dfrac{1}{2}$.

10. Colour the share Raju got.

Ans: The part that Raju gets is colored in green.

11. How much of the cake do Rajni and Raju together get? Colour their total share. Altogether they get $3$ parts out of $4$, so we can write it as

Ans: If Rajni and Raju together get $3$ parts out of $4$ parts then we can write it as $\dfrac{3}{4}$.

12. One day he wants to eat pumpkin halwa (sweet dish). He tries to buy a big pumpkin with only $Rs10$. He asks the first pumpkin seller the price of a big pumpkin. First pumpkin-seller : $\dfrac{1}{4}$ of this pumpkin is for $Rs10$.

This full pumpkin will cost Rs __________. 

Ans: If the price of $\dfrac{1}{4}$th of the pumpkin is $Rs10$ then the cost of full pumpkin 

$ = 4 \times Rs10 = Rs40$.

Thus a full pumpkin will cost $Rs40$.

13. Kundu walks to the next seller and looks for a pumpkin of the same size. 

Kundu: How much of this pumpkin will I get for $Rs10$? 

Second pumpkin-seller: Half. 

This full pumpkin will cost Rs _________. 

Ans: If the cost for half pumpkin is $Rs10$ then the cost of full pumpkin 

$ = 2 \times Rs10 = Rs20$

Thus a full pumpkin will cost $Rs20$.

14.Using a price list 

a. How much does $\dfrac{1}{2}kg$ of tomatoes cost? 

Ans: If the price of $1kg$ tomatoes is $Rs8$ then the cost of $\dfrac{1}{2}kg$ tomatoes $ = \dfrac{8}{2} = Rs4$. 

Cost of $\dfrac{1}{2}kg$ of tomatoes is $Rs4$. 

b. Which costs more – $\dfrac{1}{2}kg$ of onions or $\dfrac{1}{4}kg$ of carrots? 

Ans: If the price for $1kg$ onions is $Rs10$ then the price of $\dfrac{1}{2}kg$ onions $ = Rs\dfrac{{10}}{2} = Rs5$. 

Similarly the price for $1kg$ carrots is $Rs16$ then the price of $\dfrac{1}{4}kg$ carrots $ = Rs\dfrac{{16}}{4} = Rs4$. 

Therefore, $\dfrac{1}{2}kg$ of onions will cost more. 

c. What is the price of $\dfrac{3}{4}kg$ of potatoes? 

Ans: If the price of one kg of potatoes is $Rs12$ then the price of $\dfrac{3}{4}kg$ of potatoes $ = Rs12 \times \dfrac{3}{4} = Rs9$. 

Thus, the price of $\dfrac{3}{4}kg$ of potato is $Rs9$. 

d. Keerthi is going shopping. She has only $Rs20$ with her. Can she buy all the things in her shopping list?

Ans: If the cost of $1kg$ of potato is $Rs12$ then the cost of $\dfrac{1}{2}kg$ potato is $Rs6$. 

If the cost of $1kg$ pumpkin is $Rs4$ then the cost of $2kg$ pumpkin is $Rs8$. 

If the cost of $1kg$ carrot is $Rs16$ then the cost of $\dfrac{1}{4}kg$ carrot is $Rs4$. 

The total amount $ = Rs6 + Rs8 + Rs4 = Rs18$.

Keerthi can buy all of the things of her shopping list. 

e. Make two questions yourself from the price list. 

Ans: i. How much money will she save after buying all the things mentioned in her list? 

ii. How many extra potatoes can she buy from the money left?

15. Practice Time: What part of the whole is coloured? Write below each shape.

Ans:  

                   Two-fourth                                          Half

16. Practice Time Colour that part of the shape which is written below.

Ans: 

17. Cut in half. Draw a line which divides these shapes into half.

Ans: 

18. Colour half the number of shapes as shown here.

Ans: 

19. Colour $\dfrac{1}{4}$ of these shapes.

Ans: 

20. Match the coloured part as shown.

Ans:

21. Make the other half $\dfrac{1}{2}$ of the picture is drawn here. Can you complete the picture by drawing the other half?

Ans:

22. This is a quarter of a picture. Can you complete it? How many more quarters will you draw to complete it? ___________ 

Ans:

23. Half and Quarter of a Metre Using your metre scale, cut a string of one metre. 

On this string, mark the length $\dfrac{1}{2}$metre, $\dfrac{1}{4}$metre and $\dfrac{3}{4}$metre. 

Using your string, draw a line of length $\dfrac{1}{2}$metre on the floor. How many centimetres long is the line? ___________ Remember, $1metre = 100cm$ So 

$\dfrac{1}{2}metre = ...cm$ 

$\dfrac{1}{4}metre = ...cm$

$\dfrac{3}{4}metre = ...cm$

Can you see that when we add $\dfrac{1}{2}$ and $\dfrac{1}{4}$ we get $\dfrac{3}{4}$? 

Ans: $1metre = 100cm$ Line of 

$\dfrac{1}{2}m = \dfrac{{100}}{2}cm = 50cm$

$\dfrac{1}{4}m = \dfrac{{100}}{4}cm = 25cm$

$\dfrac{3}{4}m = 100 \times \dfrac{3}{4}cm = 75cm$

24. Sharing Milk This bottle is full of milk and it holds one litre. The milk is put into $4$ other bottles so that each bottle has $\dfrac{1}{4}$litre of milk. Shade the bottles to show the level of milk in each.

Remember, $1litre = 1000millilitres$. How many millilitres of milk does each bottle have? _________

Ans:

$1litre = 1000millilitres$

Each bottle has $1000ml \div 4 = 250ml$  

Thus, each bottle contains $250ml$ milk. 

25. Sharing Milk Shan poured $1$ litre of milk into two bottles so that the first bottle holds $\dfrac{3}{4}$litre and the other holds $\dfrac{1}{4}$litre.

Shade the level of milk in each bottle. • How many millilitres of milk does each bottle hold?

Ans: $1litre = 1000 millilitres$

First bottle has $1000 \times \dfrac{3}{4}ml = 750ml$of milk 

Second botte has $1000ml \div 4 = 250ml$ of milk.

26.

Balance the Weight

Ans: 

We know, $1kg = 1000g$. So, $2kg = 2000g$. We can make the combination in several ways: 

i. We can take $500 + 500 + 250 + 250 + 250 + 200 + 50 = 2000g$ 

ii. We can take $500 + 500 + 1kg = 2000g$ 

iii. We can take $1kg + 250 + 250 + 250 + 200 + 50 = 2000g$ 

27.

Balance the Weight 

In how many different ways can you balance this weight of $\dfrac{3}{4}kg$?

a. ………………… b. ………………… c. …………………

Ans: We know $1kg = 1000g$

Thus, 

$\dfrac{1}{4}kg = 1000 \div 4 = 250g$ 

$\dfrac{3}{4}kg = 250g \times 3 = 750g$ 

Below are the possible combinations: 

a. $500g + 250g + 50g = 750g$ 

b. $250g + 250g + 250g = 750g$ 

c. $250g + 250g + 200g + 50g = 750g$ 

28. Practice Time:

There are $60$ mangoes. $\dfrac{1}{2}$ of them are ripe. How many mangoes are ripe? There are $32$ children $\dfrac{1}{2}$ of which are girls. How many children are boys? There are $20$ stars. A quarter of them are red. How many stars are red? How many are not red? Ravi wants a pencil. It costs$Rs2$. He gives a one-rupee coin, one half-rupee coin and one quarter-rupee coin. Is it enough?

Ans: ${\text{Number of total mangoes}} = 60$ 

If $\dfrac{1}{2}$ of them are ripe then, the number of ripe mangoes$ = 60 \div 2 = 30$.

Thus, $30$ mangoes are ripe. 

${\text{Total number of children}} = 32$ 

If $\dfrac{1}{2}$ of them are girls then the other half are boys. 

Number of boys $ = 32 \div 2 = 16$  

Thus, there are $16$ boys out of $32$ children. 

${\text{Total number of stars}} = 20$ 

If quarter of stars are red then number of red stars$ = 20 \div 4 = 5$. 

Thus, $5$ stars are red. 

Number of non-red stars$ = 20 - 5 = 15$

${\text{Cost of a pencil}} = Rs2$ 

We know $\operatorname{Re} 1$ is equal to $100$paisa. So, $Rs2 = 200paise$. 

Ravi gave: 

$\operatorname{Re} 1 = 100paise$, 

$\dfrac{1}{2}$ of $\operatorname{Re} 1 = \dfrac{1}{2} \times 100 = \dfrac{{100}}{2} = 50paise$.  

 $\dfrac{1}{4}$ of $\operatorname{Re} 1 = \dfrac{1}{4} \times 100 = \dfrac{{100}}{4} = 25paise$. 

Total amount given by Ravi$ = 100 + 50 + 25 = 175paise$. 

No, the amount given is not enough. Ravi needs to give $200$paise.

NCERT Solutions for Class 4 Maths Chapter 9 - Halves And Quarters

Glimpses of Class 4 Maths Chapter 9 Halves and Quarters

In Class 4 Maths Chapter 9 – Halve and Quarters, you will be learning how to divide something whole into two parts or more than two parts. This lesson is in the form of a story.  Mintu and Mottu cats were two friends. Once they stole a chapati but could not share it because they did not know how to divide it into two. So they started fighting with each other. Tittu, another monkey came and tried to divide the chapatti into two but even he couldn’t and he tricked Mintu and Mottu and ate the whole chapati. 

What if this happens with you? Let us understand the concept of Halve and Quarters. 

Half

When something is divided into two equal parts, each part is called a half. It is written as  ½  and read as ‘one by two’.

Observe how your mother cuts an apple. She cuts the apple into two equal parts. 

Half of Half

Half of Half Means Quarter. When you have to divide something whole into four equal parts then it is called quarter of the whole. Each part is called quarter or one-fourth of the whole. 

It is written as 1/4 and read as ‘one by four’.

What if we take 2 or 3 parts? Simple! We get two-fourth or three-fourth. 

If we divide a whole thing into 8 equal parts, each part is one-eighth of the whole. It is written as ⅛ and read as ‘one by eight’.        

Now do you understand how your pizza is divided equally? Next time when you order your favourite pizza, then you observe the pizza slices. They are divided equally into four or six or eight depending on the size of the pizza. 

Do you want to know what these half, quarter, two-fourth or three-fourths called? We call them fractions. 

A fraction has a numerator and denominator. 

For Example:  1 --> the upper part of the fraction is called the numerator.

              2 --> the down part of the fraction is called the denominator.

It can also be read as ‘ 1 by 2’. 

Let us understand how we use this concept in real life application.

We take 8 stickers.  ♣ ♣ ♣ ♣ ♣ ♣ ♣ ♣

Now divide the collection of stickers into two parts.    ♣ ♣ ♣ ♣

                                            ♣ ♣ ♣ ♣

How many does each part have? 4

Therefore half of 8 stickers is 4 stickers or ½  of 8 = 4

A simple way to find ½  of 8 is to divide 8 by 2. 8 ÷ 2 = 4

Now you will surely be able to solve all the questions given in the chapter. Next time when you go to the market to buy vegetables, you can quickly calculate the cost of half a kg of potatoes. 

Why should you use Vedantu for NCERT Solutions of Class 4 Maths Chapter 9 Halves and Quarters

Key Features of NCERT Solutions, These solutions are designed to help students achieve good understanding in their studies. They are made by experienced educators who master in teaching Class 4 Maths. Some of the features include:

• Detailed explanations for each exercise and questions, giving a deeper understanding of the subject.

• Clear and easy to read presentation for easy understanding.

• Correct answers aligned with the curriculum, boosting students' confidence in their knowledge.

• Visual aids like diagrams and illustrations to simplify difficult concepts.

• Additional tips and insights to enhance students' performance.

• Chapter summaries for quick revision.

• Online accessibility and downloadable resources for flexible study and revision.

Conclusion

The NCERT Solutions for class 4 chapter 9 Halves and Quarters, provided by Vedantu, is a great tool for Class 4 students. It helps introduce Maths concepts in an accessible manner. The provided solutions and explanations simplify difficult ideas, making it easier for Class 4 Students to understand the material. By using Vedantu's resources, Students can develop a deeper understanding of NCERT concepts. These solutions are a helpful aid for class 4 students, helping them to excel in their studies and develop a genuine interest for Halves and Quarters.