NCERT Solutions for Class 4 EVS Chapter 9 – Halves and Quarters, designed by experienced teachers and subject experts as per the latest syllabus of NCERT (CBSE) are available on this page On Study Studio’s platform, you will find all the solutions for the exercise questions given in the textbook. Notes for this chapter are also available, which will help you to revise the complete topic thoroughly and score good marks in your exams. Study Studio has very well structured study materials and reference notes with lots of worksheets and mock tests. These tests and worksheets will help you to improve your scores in the exams.
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Access 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.
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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.
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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? _______
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Ans:
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If Rani divided the chocolate and gave half to her friend then she must be left with 6/2=36/2=3 chocolates as there are 66 pieces in the chocolate.
4. Draw different shapes using these triangles. One such shape is shown here.
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Ans: Arrange the tiles in such a way that the 2 sides of the triangle form the one diagonal of rectangle.
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5. In how many different ways can you cut a rectangle into half? • Draw 55 different ways.
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Can you check if they are equal?
Ans:
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Yes, they are equal.
6. In how many different ways can you cut a rectangle into four equal parts? Draw 55 different ways.
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Can you check if they are equal?
Ans:
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Yes, they are equal.
7. Cutting the Cake:
Rajni’s father brought a cake. She divided the cake into 44 equal parts — for herself, her brother Raju, her father and her mother.
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Colour each share with different colours. How much does each get? ________
Ans:
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There are a total of 44 parts. If each of them gets one piece out of four then each one gets 1414 of the cake.
8. Mother gave her share of cake to Rajni. Now colour the total part that Rajni will get.
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Ans: The part that rajni gets is colored in red.
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9. Out of 44 parts Rajni will get _________ parts, which is equal to half of the cake. So, she can write it as 44 or 1212.
Ans: Rajni will get 22 parts out of 44, that is equal to half of the cake. So, she can write it as either 2424 or 1212.
10. Colour the share Raju got.
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Ans: The part that Raju gets is colored in green.
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11. How much of the cake do Rajni and Raju together get? Colour their total share. Altogether they get 33 parts out of 44, so we can write it as
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Ans: If Rajni and Raju together get 33 parts out of 44 parts then we can write it as 3434.
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12. One day he wants to eat pumpkin halwa (sweet dish). He tries to buy a big pumpkin with only Rs10��10. He asks the first pumpkin seller the price of a big pumpkin. First pumpkin-seller : 1414 of this pumpkin is for Rs10��10.
This full pumpkin will cost Rs __________.
Ans: If the price of 1414th of the pumpkin is Rs10��10 then the cost of full pumpkin
=4×Rs10=Rs40=4×��10=��40.
Thus a full pumpkin will cost Rs40��40.
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��10?
Second pumpkin-seller: Half.
This full pumpkin will cost Rs _________.
Ans: If the cost for half pumpkin is Rs10��10 then the cost of full pumpkin
=2×Rs10=Rs20=2×��10=��20
Thus a full pumpkin will cost Rs20��20.
14.Using a price list
| Item | Price in Rs(per kg) |
| TomatoPotatoOnionCarrotPumpkin | 81210164 |
a. How much does 12kg12�� of tomatoes cost?
Ans: If the price of 1kg1�� tomatoes is Rs8��8 then the cost of 12kg12�� tomatoes =82=Rs4=82=��4.
Cost of 12kg12�� of tomatoes is Rs4��4.
b. Which costs more – 12kg12�� of onions or 14kg14�� of carrots?
Ans: If the price for 1kg1�� onions is Rs10��10 then the price of 12kg12�� onions =Rs102=Rs5=��102=��5.
Similarly the price for 1kg1�� carrots is Rs16��16 then the price of 14kg14�� carrots =Rs164=Rs4=��164=��4.
Therefore, 12kg12�� of onions will cost more.
c. What is the price of 34kg34�� of potatoes?
Ans: If the price of one kg of potatoes is Rs12��12 then the price of 34kg34�� of potatoes =Rs12×34=Rs9=��12×34=��9.
Thus, the price of 34kg34�� of potato is Rs9��9.
d. Keerthi is going shopping. She has only Rs20��20 with her. Can she buy all the things in her shopping list?
Ans: If the cost of 1kg1�� of potato is Rs12��12 then the cost of 12kg12�� potato is Rs6��6.
If the cost of 1kg1�� pumpkin is Rs4��4 then the cost of 2kg2�� pumpkin is Rs8��8.
If the cost of 1kg1�� carrot is Rs16��16 then the cost of 14kg14�� carrot is Rs4��4.
The total amount =Rs6+Rs8+Rs4=Rs18=��6+��8+��4=��18.
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.
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Ans:
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Two-fourth Half
16. Practice Time Colour that part of the shape which is written below.
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Ans:
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17. Cut in half. Draw a line which divides these shapes into half.
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Ans:
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18. Colour half the number of shapes as shown here.
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Ans:
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19. Colour 1414 of these shapes.
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Ans:
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20. Match the coloured part as shown.
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Ans:
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21. Make the other half 1212 of the picture is drawn here. Can you complete the picture by drawing the other half?
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Ans:
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22. This is a quarter of a picture. Can you complete it? How many more quarters will you draw to complete it? ___________
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Ans:
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23. Half and Quarter of a Metre Using your metre scale, cut a string of one metre.
On this string, mark the length 1212metre, 1414metre and 3434metre.
Using your string, draw a line of length 1212metre on the floor. How many centimetres long is the line? ___________ Remember, 1metre=100cm1�����=100�� So
12metre=…cm12�����=…��
14metre=…cm14�����=…��
34metre=…cm34�����=…��
Can you see that when we add 1212 and 1414 we get 3434?
Ans: 1metre=100cm1�����=100�� Line of
12m=1002cm=50cm12�=1002��=50��
14m=1004cm=25cm14�=1004��=25��
34m=100×34cm=75cm34�=100×34��=75��
24. Sharing Milk This bottle is full of milk and it holds one litre. The milk is put into 44 other bottles so that each bottle has 1414litre of milk. Shade the bottles to show the level of milk in each.
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Remember, 1litre=1000millilitres1�����=1000�����������. How many millilitres of milk does each bottle have? _________
Ans:
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1litre=1000millilitres1�����=1000�����������
Each bottle has 1000ml÷4=250ml1000��÷4=250��
Thus, each bottle contains 250ml250�� milk.
25. Sharing Milk Shan poured 11 litre of milk into two bottles so that the first bottle holds 3434litre and the other holds 1414litre.
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Shade the level of milk in each bottle. • How many millilitres of milk does each bottle hold?
Ans: 1litre=1000millilitres1�����=1000�����������
First bottle has 1000×34ml=750ml1000×34��=750��of milk
Second botte has 1000ml÷4=250ml1000��÷4=250�� of milk.
26.
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Balance the Weight
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Ans:
We know, 1kg=1000g1��=1000�. So, 2kg=2000g2��=2000�. We can make the combination in several ways:
i. We can take 500+500+250+250+250+200+50=2000g500+500+250+250+250+200+50=2000�
ii. We can take 500+500+1kg=2000g500+500+1��=2000�
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iii. We can take 1kg+250+250+250+200+50=2000g1��+250+250+250+200+50=2000�
27.
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Balance the Weight
In how many different ways can you balance this weight of 34kg34��?
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a. ………………… b. ………………… c. …………………
Ans: We know 1kg=1000g1��=1000�
Thus,
14kg=1000÷4=250g14��=1000÷4=250�
34kg=250g×3=750g34��=250�×3=750�
Below are the possible combinations:
a. 500g+250g+50g=750g500�+250�+50�=750�
b. 250g+250g+250g=750g250�+250�+250�=750�
c. 250g+250g+200g+50g=750g250�+250�+200�+50�=750�
28. Practice Time:
There are 6060 mangoes. 1212 of them are ripe. How many mangoes are ripe? There are 3232 children 1212 of which are girls. How many children are boys? There are 2020 stars. A quarter of them are red. How many stars are red? How many are not red? Ravi wants a pencil. It costsRs2��2. He gives a one-rupee coin, one half-rupee coin and one quarter-rupee coin. Is it enough?
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Ans: Number of total mangoes=60Number of total mangoes=60
If 1212 of them are ripe then, the number of ripe mangoes=60÷2=30=60÷2=30.
Thus, 3030 mangoes are ripe.
Total number of children=32Total number of children=32
If 1212 of them are girls then the other half are boys.
Number of boys =32÷2=16=32÷2=16
Thus, there are 1616 boys out of 3232 children.
Total number of stars=20Total number of stars=20
If quarter of stars are red then number of red stars=20÷4=5=20÷4=5.
Thus, 55 stars are red.
Number of non-red stars=20−5=15=20−5=15
Cost of a pencil=Rs2Cost of a pencil=��2
We know Re1Re1 is equal to 100100paisa. So, Rs2=200paise��2=200�����.
Ravi gave:
Re1=100paiseRe1=100�����,
1212 of Re1=12×100=1002=50paiseRe1=12×100=1002=50�����.
1414 of Re1=14×100=1004=25paiseRe1=14×100=1004=25�����.
Total amount given by Ravi=100+50+25=175paise=100+50+25=175�����.
No, the amount given is not enough. Ravi needs to give 200200paise.
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.
Conclusion
With the help of these basic concepts you can now cut anything whole into equal parts. This chapter is very useful in our daily activities. You can use fractions to find time, divide a piece of chocolate, etc.