# NCERT Solutions Class 4 Mathematics Chapter 9 Halves And Quarters

Scroll down for PDF

NCERT Solutions for Class 4 Mathematics Math Magic for Chapter 9 Halves And Quarters

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

Ans.To divide the chapatti equally, I will fold it in such a way that one part coincides with the other exactly. These parts will look as shown in the figure. 2. If two or more cats come for food how will you divide one chapati equally for four cats?

Ans.To divide one chapati equally into four parts. I will first divide into two halves. Then. I will fold each half in such a way that one part coincides with the other exactly. These parts will look as under: 3. Half of Many Pieces

Rani got a chocolate. She divided it equally and gave half to her friend Reena.

(a) Circle the portion the Reena got.

Ans. (a)Reena’s portion is shown as encircled: (b) How many pieces of chocolate are there?

Ans. (b)There are six pieces of chocolate.

(c) How many pieces were left with Rani?

Ans. (c)Three pieces of chocolate were left with Rani.

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

(a) Colour each share with different colours.

Ans. (b) How much does each get?

Ans. (b)Each gets 1/4  of the cake.

(c) Out of 4 parts Rajni will get 2 parts. Which is equal to half of the cake. So she can write as 2/4  or 1/2  .

Ans. (c) (d) Colour the share Raju got.

Ans. (d) 5. Using a Price List: (a) How much does 1/2  kg tomato costs?

Ans. (a)Cost of 1 kg tomato = Rs8

Cost of 1/2 kg of tomato = Rs 8/2  = Rs 4

(b) Which costs more 1/2 kg of onions or 1/4  kg of carrots.

Ans. (b)Cost of 1 kg of onions = Rs. 10

Cost of 1/2  kg of onions = Rs. 10/2  = Rs 5

Cost of 1 kg of carrots = Rs 16

Cost of 1/4 kg of carrots = Rs. 16/4 = Rs 4

Since, 5 is more than 4, therefore, cost of 1/2 kg of onions is more than the cost of 1/4 kg of onions.

(c) What is the price of 3/4 kg potato?

Ans. (c)Cost of 1 kg potato = Rs. 12

Cost of 3/4 kg of potato = Rs 12x 3/4

= Rs.  (12x3)/4

= Rs. 9

(d) Keerthi is going for shopping. She has only Rs 20 with her. Can she buy all the things in her shopping list?

Ans. (d)Cost of 1/2 kg potato = Rs. 8 x 1/2 = Rs. 4

Cost of 2 kg pumpkin = Rs. 4 2 = Rs. 8

Cost of 1/4  kg carrot = Rs. 16 x 1/4 = Rs. 4

Total cost = Rs. 16

Since, Keerthi has Rs. 20 which are more than Rs. 16, so she can buy all the things in her shopping list.

6. (a) What part of the whole is coloured? Write below each shape. Ans. 1/2  is coloured and 2/4  or 1/2  is coloured.

(b) Colour that part of the shapes which is written below.

Ans. 7. Match the colour part as shown.

Ans. 8. How many centimeters long is the line?

Ans.The line is 50 cm long (because 1 metre = 100 cm)

1 metre = 100 cm

1/2 metre = 50 cm  100 x 1/2 = 50
1/4 metre = 25 cm  100 x 1/4 = 25
3/4 metre = 75 cm  100 x 3/4 = 75

9. (a) How many millimetres of milk does each bottle have?

Ans. (a)Each bottle has (100/4) = 250 ml of milk.

(b) Shade the level of milk in each bottle.

Ans. (b)The level of milk is shaded as shown in the adjacent figure.

(c) How many milliliter of milk does each bottle hold?

Ans. (c)Milk in the first bottle = 3/4 X 1000 ml = 750 ml

Milk in the first bottle = 1/4 x 1000 ml = 250 ml

10. Choose from the weights above to make the two pans equal. In how many ways you can do it?

Ans.Two pans can be made equal by putting the weights shown in the empty pan in many ways. Some of them are given below:

(i)1 kg, 500 g, 500 g

(ii)1 kg, 500 g, 300 g, 200 g

(iii)1 kg, 500 g, 250 g, 250 g

(iv)1 kg, 250 g, 250 g, 250 g

(v)1 kg, 500 g, 200 g, 200 g, 100 g

(vi)1 kg, 500 g, 250 g, 200 g, 50 g

(vii)500 g, 500 g, 250 g, 250 g, 250 g, 200 g, 50 g

(viii)500 g, 500 g, 250 g, 250 g, 200 g, 200 g, 100 g

11.(a) Draw the weights in empty pan. Remember 1 kg = 1000g.

Ans. (a)To balance the two pans, we will put one weight of 1 kg and two weights 500 g in the empty pan

(b) In how many different ways can you balance this weight of 3/4 kg?

Ans. (b)Some of weights which can balance 3/4 kg of weight are as under:

(1) 500 g, 250 g; (2) 250 g, 250 g, 50 g; (3) 250 g, 200 g, 200 g, 100 g.

12. Kannan shaded some parts as shown. But his friend Mini says that it wrong. Explain why it is wrong.

Ans.In the case of the rectangle, the four divisions are not of the equal size. So, cannot be said the shaded part is 1/2 . In case of the triangle, the line is not at the middle.

Clearly, the shaded part is not 1/2 .

13. There are 60 mangoes. 1/2 of them are ripe. How many mangoes are ripe?

Ans.Number of mangoes = 60/2  = 30.

14. There are 32 children. 1/2  of them are girls. How many children are boys?

Ans.Total number of children = 32

Number of girls = 32/2  = 16

Thus, number of boys = 32- 16= 16.

15. There are 20 stars. A quarter of them are red. How many stars are red. How many are not red?

Ans.Total number of stars = 20

Number of red stars = A quarter of 20 stars

=1/4x 20 = 5 stars

Number of non-red stars = 20 – 5 = 15.

16. Ravi wants a pencil. It costs Rs. 2. He gives a one-rupee coin, one half rupee coin and one-quarter rupee coin. Is it enough?

Ans.Cost of a pencil = Rs. 2

Money paid = Re 1.00 + Re 0.50 + Re 0.25 = Rs. 1.75

Since, Rs 2 is more than Rs 1.75, therefore, money paid is not enough.

## Tags: For more study material for Mathematics please click here - Mathematics

## Latest NCERT & CBSE News

Read the latest news and announcements from NCERT and CBSE below. Important updates relating to your studies which will help you to keep yourself updated with latest happenings in school level education. Keep yourself updated with all latest news and also read articles from teachers which will help you to improve your studies, increase motivation level and promote faster learning

### CBSE Circular Aryabhatta Ganit Challenge

For students with a keen interest in mathematics are now provided with a better opportunity to explore their knowledge. CBSE has announced to conduct an exam for the purpose of generating interest in maths among students. It is a trial to clarify the myth that...

### NCERT NTSE Admit Card 2020 released - know more

Introduction: NTSE 2020 National Talent search examination is conducted by NCERT to take out the students who excel in science. It is organized to measure and let the students with talent outshine in their coming future. This talent search exam is taken in 2 stages....

### TIPS: Study habits for success

Being a student is fairly a difficult job. Alongside maintaining your curricular as well as extra-curricular activities adds more to it. Performance in academics is one of the major concerns. Every parent now tries to get their children more indulged in studies. Need...

### CBSE Board Introduces Experiential Learning for Student

CBSE Academic Session 2019-20: Board Introduces Experiential Learning for Student: The education sector has grown for some new changes. As per the latest updates the Central Board of Secondary Education has been good in making all the possible efforts to improve...

### JEE in Punjabi too after English, Hindi and Gujarati

Punjab Minister Tript Rajinder Singh Bajwa requested the joint technology entrance exam (main) to be conducted in Punjabi and other regional languages too. In his letter to Union HRD Minister Ramesh Pokhriyal Nishank, the Punjab Minister for Higher Education and...

### Registration of NEET 2020 starts

The NEET 2020 registration process would start on Monday, December 2nd, 2019. National Testing Agency, NTA would carry out the county’s undergraduate entrance exam for medical and dental admissions.  The examination is scheduled to take place in English, Hindi, and...

×