NCERT Class 4 Maths Chapter-9 Halves And Quarters

NCERT Solutions for Class 4 Maths Chapter-9

This page consists of NCERT Solutions for Chapter 9 Halves And Quarters prepared by Maths experts. All the questions asked in the Halves And Quarters of NCERT textbook are solved with relevant methods recommended by CBSE.

A brief explanation of Chapter 9 Halves And Quarters

This chapter starts with the story of two cats namely Mintu and Mottu it explains the meaning of halves and quarters. Mintu cat and Mottu cat were friends. Both the friends stole a chapati from Malini’s kitchen. Now the problem starts between both who are going to take the chapati. While they were quarrelling, luckily there came a monkey named Tittu. He asked both the cat what’s the problem? why are you quarrelling, the cat replied We don’t know how to divide this chapati between us. Now the role of the monkey starts and he explains the problems with dividing the chapati equally, this way chapter 9 Halves And Quarters start with the introduction of basics maths.

Find a free pdf of NCERT Solutions for Chapter 9 Halves And Quarters

Q1: Half-Half If the cats ask you to divide the chapati equally, how will you divide it?

Answer: I will first fold the chapati into equal half to get the line and then cut it in two halves along that line.

Q2: Half of Half If two more cats come for food, how will you divide one chapati equally for four cats?

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

Q3: 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?________

Answer:

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.

Q4: Draw different shapes using these triangles. One such shape is shown here.

Answer:

Q5: In how many different ways can you cut a rectangle into half? • Draw 5 different ways.

Can you check if they are equal?

Answer:

Yes, they are equal.

Q6: 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?

Answer:

Yes, they are equal.

Q7: 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?________

Answer:

There are a total of 4 parts. If each of them gets one piece out of four then each one gets ¼ of the cake.

Q8: Mother gave her share of cake to Rajni. Now colour the total part that Rajni will get.

Answer:

Q9: Out of 4 parts Rajni will get ____________parts, which is equal to half of the cake. So she can write it as 4 or 12.

Answer:

Out of 4 parts Rajni will get 2 parts, which is equal to half of the cake. So she can write it as 24 or 12.

Q10: Colour the share Raju got.

Answer:

Q11: 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

Answer:

If Rajni and Raju together get 3 parts out of 4 parts then we can write it as ¾.

Q12: One day he wants to eat pumpkin halwa (sweet dish). He tries to buy a big pumpkin with only Rs___________

10. He asks the first pumpkin seller the price of a big pumpkin. First pumpkin-seller— 14of this pumpkin is for Rs 10. • This full pumpkin will cost Rs____________.

Answer:

If the price of ¼th of the pumpkin = Rs 10 then the cost of full pumpkin

= 4 × Rs 10 = Rs 40

Thus a full pumpkin will cost Rs 40.

Q13: 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 Rs 10? Second pumpkin-seller — Half. • This full pumpkin will cost Rs__________.

Answer:

If the cost for half pumpkin is Rs 10 then the cost of full pumpkin

= 2×Rs 10 = Rs 20

∴ therefore, the cost of the full pumpkin is Rs 20

Q14: Using a Price List

Item	Price in Rs (per kg)
Tomato Potato Onion Carrot Pumpkin	8 12 10 16 4

(a) How much does 1/2 kg of tomatoes cost?

(b) Which costs more – 12kg of onions or 14kg of carrots?

(c) What is the price of 34kg of potatoes?

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

(e) Make two questions yourself from the price list. 1. 2. Answer:

(a) If the price of 1 kg tomatoes is Rs 8 then the cost of 1/2 kg tomatoes = 8/2 = Rs 4. Cost of 1/2 kg of tomatoes is Rs 4.

(b) If the price for 1 kg onions is Rs 10 then the price of 1/2 kg onions = Rs 10/2 = Rs 5. Similarly the price for 1 kg carrots is Rs 16 then the price of 1/4kg carrots = Rs 16 /4= Rs 4. Therefore, 1/2 kgs of onions will cost more.

(c) If the price of one kg of potatoes is Rs 12 then the price of 3/4kg of potatoes = Rs 12 x3/4= Rs 9. Thus, the price of 3/4 kgs of potato is Rs 9.

(d) If the cost of 1 kg of potato is Rs 12 then the cost of ½ kg potato is Rs 6. If the cost of 1 kg pumpkin is Rs 4 then the cost of 2 kg pumpkin is Rs 8

If the cost of 1kg carrot is 16 then the cost of ¼ th kg carrot is Rs 4.

The total amount = Rs 6+Rs 8+Rs 4 = Rs 18. Thus, Keerthi can buy all the things in her shopping list.

(e) 1. How much money will she save after buying all the things mentioned in her list?

2. How much extra pumpkin can she buy from the money left?

Q15: Practice Time: What part of the whole is coloured? Write below each shape.

Answer:

half

two-fourth

Q16: Practice Time Colour that part of the shape which is written below.

Answer:

Q17:

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

Answer:

Q18: Colour half the number of shapes as shown here.

Answer:

Q19: Colour 14 of these shapes.

Answer:

Q20:

Match the coloured part as shown.

Answer:

Q21: Make the other half 12 of the picture is drawn here. Can you complete the picture by drawing the other half?

Answer:

Q22: This is a quarter of a picture. Can you complete it? How many more quarters will you draw to complete it?

Answer:

Three more quarters are required to complete the picture.

Q23: Half and Quarter of a Metre Using your metre scale, cut a string of one metre.

• On this string, mark the length 12metre, 14metre and 34 metre.
• Using your string, draw a line of length 12metre on the floor. How many centimetres long is the line?_________Remember, 1 metre = 100 cm So

12metre = ……. cm

14metre = ……. cm

34metre = ……. cm Can you see that when we add 12 and

14we get 34?

Answer:

1 m = 100 cm Line of

1/2m = 100 cm ÷ 2 = 50 cm

1/4m = 100 cm ÷ 4 = 25 cm

3/4m = 100 cm × 3 / 4 = 75 cm

Q24: 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 1/4litre of milk. Shade the bottles to show the level of milk in each.

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

Answer:

1 litre = 1000 millilitres

Each bottle has 1000 mL ÷ 4 = 250 mL Thus, each bottle contains 250 mL milk.

Q25: Sharing Milk Shan poured 1 litre of milk into two bottles so that the first bottle holds

3/4 litre and the other holds 1/4 litre.

Shade the level of milk in each bottle.

• How many millilitres of milk does each bottle hold?

Answer:

1 litre = 1000 millilitres

First bottle has 1000x 3 / 4= 750mL of milk Second botte has 1000 mL ÷ 4 = 250 mL of milk.

Q26:

Balance the Weight

Answer:

We know, 1kg = 1000 g. So, 2kg = 2000g. We can make the combination in many ways: 1) We can take 500+500+250+250+250+200+50 = 2000g

2) We can take 500+500+1kg = 2000g

3) We can take 1kg + 250+250+250+200+50= 2000g

Q27:

Balance the Weight

In how many different ways can you balance this weight of 3/4kg? (1) ________________________ (2) ________________________ (3) ________________________

Answer:

We know 1 kg = 1000 g Thus,

1/4kg = 1000÷4=250 g 34kg =250 g×3=750 g

Below are the possible combinations:

1) 500 g + 200 g + 50 g = 750 g

2) 250 g + 250 g + 250 g = 750 g

3) 250 g + 250 g + 200 g + 50 g = 750 g

Q28: Practice Time • There are 60 mangoes. 12 of them are ripe. How many mangoes are ripe? There are 32 children 12 of them 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 Rs 2. He gives a one-rupee coin, one half-rupee coin and one quarter-rupee coin. Is it enough?

Answer:

Number of total mangoes = 60

If 1/2 of them are ripe then the number of ripe mangoes = 60 ÷ 2 = 30.

Thus, 30 mangoes are ripe.

Total number of children = 32

If ½ of them are girls then the other half are boys. Number of boys = 32 ÷ 2 = 16

Thus, there are 16 boys out of 32 children.

Total number stars = 20

If quarter of them are red then number of red stars = 20 ÷ 4 = 5 Thus, 5 stars are red.

The number of stars that are not red = 20 − 5 = 15

The cost of a pencil = Rs 2

We know Re 1 is equal to 100paise. So, Rs 2 = 200paise. Ravi gave:

a) Re 1 = 100 paise,

b) ½ of Re 1 = ½ x 100 = 100/2 = 50 paise.

c) ¼ of Re 1 = ¼ x100 = 100 / 4 = 25 paise.

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

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