NCERT Solutions Class 5 Maths Chapter 4– Parts and Whole are provided here for college kids to prepare for exams. These answers are organized via subject experts with admire to the CBSE syllabus (2023-2024) posted by using the board.
Chapter four – Parts and Wholes is an exciting chapter. It deals with efficiently representing and discovering fractions and their entire relationships. Here, college students could be advocated to apply fashions to divide a whole into equal parts and document the fractions for parts. The solved questions provided for this chapter were designed to assist students instruction the principles that have been or may be requested in the upcoming examinations. Students will learn how to draw, decide as well as give an explanation for whether or not a given fraction and an area representation fit.
These are some of the important topics and questions from Class 5 Maths Chapter 4 NCERT solutions. To know more, you can check out the solutions below.
Get Solutions for NCERT Class 5 Maths 4 Parts and Wholes
Question 1 :
a) Draw a rectangle of length 9 cm and width 6 cm. Divide it into three equal parts and complete the flag.
b) The top one-third of our flag is saffron (or orange). What is the colour of the middle one-third of the flag?
c) Where will you draw the Ashoka chakra?
d) How much of the flag will you colour green?
e) Is the white colour now less than 1 3 of the flag? Why?
Answer :
a) The complete flag is shown below.
b) The middle one-third of the flag is coloured in white.
c) The Ashoka chakra is in the middle of the white part.
d) One-third portion the flag is coloured in green.
e) The flag is divided into 3 equal parts. Each of the three colours is 1/3 of the flag. But in the white portion the Ashok chakra has been draw. So, the white colour is less than 1/3 of the flag.
Question 2 :
a) Now look at this flag. How much of it is black?
b) The green part of the flag can be written as………
c) Is red less than one-third of the flag? Why?
Answer :
a)There are 3 portion, so (1/3)rd portion of the flag contains black colour.
b) The green part of the flag can be written as one-third.
c)Yes, red colour is less than 1/3 of the flag. Because, white emblem is present in the red portion.
Question 3 :
This is the flag of Myanmar, our neighbour.
a) Is blue more than one-fourth of the flag or less?
b) Guess how much of the flag is red. Is it more than 1/2 ? Is it more than three-fourths?
Answer :
c) The blue colour is less than one-fourth of the flag.
d) It is more than half and also it is more than three-fourths.
Practice Time
(A) Chocolate bar
Manju had a 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.
Solution:-
Manju had a chocolate.
Number of bites in the chocolate is 12.
She gave one-fourth of it to raji = ¼ × 12
= 3 bites
Sugatha got one-third of it = (1/3) × 12
= 4 bites
Sheela got one-sixth of it = (1/6) × 12
= 2 bites
(i) What part of the chocolate did Manju eat?
Solution:-
Part of the chocolate remains with Manju = 12 – (3 + 4 + 2)
= 12 – 9
= 3 bites
Therefore, Manju ate 3 bites of chocolate.
(B) Colour the hats
(i) Colour 1/3 of the hats in red.
(ii) Colour three-fifth of the hats blue.
(iii) How many hats did you colour red?
(iv) How many hats did you colour blue?
(v) What part of the hats are not coloured?
Solution:-
The total number of hats in the given figure = 15
(i) Out of 15 colours, 1/3 of the hats are in red = 1/3 × 15
= 5 hats
(ii) Out of 15 colours, three-fifth of hats are in blue = 3/5 × 15
= 3 × 3
= 9 hats
(iii) 5 hats are coloured red.
(iv) 9 hats are coloured blue.
(v) Number of hats coloured = 14
Total number of hats = 15
So, Number of hats not coloured = 15 – 14
= 1 hat
Therefore, (1/15)th part of the hats are not coloured.
1) Make different patterns by colouring some squares in grids B, C, D. What part of the grid did you colour? What part of the grid remained white? Write.
Solution:-
2) Look at grid A again. Is the grid coloured
(a) ½ blue, ½ white? (b) 2/4 blue, 2/4 white?
(c) 3/8 blue, 5/8 white? (d) 4/8 blue, 4/8 white?
Mark (X) on the wrong answer.
Solution:-
(a) ½ blue, ½ white (b) 2/4 blue, 2/4 white
(c) 3/8 blue, 5/8 white (X) (d) 4/8 blue, 4/8 white
Because
(a) ½ blue, ½ white = 8/16 = ½ … [divide both denominator and numerator by 8]
(b) 2/4 blue, 2/4 white = 8/16 = 2/8 … [divide both denominator and numerator by 4]
(d) 4/8 blue, 4/8 white = 8/16 = 4/8 … [divide both denominator and numerator by 2]
3) Draw grids of 16 squares and make patterns with
(a) 2/8 red, ½ yellow, ¼ green
(b) 3/16 blue, 5/16 red, ½ green
Solution:-
(a) 2/8 red, ½ yellow, ¼ green
Out of 16 squares 2/8 red = 2/8 × 16
= 2 × 2
= 4 red squares
Out of 16 squares ½ yellow = ½ × 16
= 1 × 8
= 8 yellow squares
Out of 16 squares ¼ green = ¼ × 16
= 1 × 4
= 4 green squares
(b) 3/16 blue, 5/16 red, ½ green
Out of 16 squares 3/16 blue = 3/16 × 16
= 3 × 1
= 3 blue squares
Out of 16 squares 5/16 red = 5/16 × 16
= 5 × 1
= 5 red squares
Out of 16 squares ½ green = ½ × 16
= 1 × 8
= 8 green squares
Ramu’s vegetable field
Question 9 : Ramu’s vegetable field has 9 equal parts. What vegetables does he grow?
1) Which vegetable grows in the biggest part of his field? What part?
2) On what part of the field does he grow potatoes?
3) What part of the field is used to grow spinach? What part is used for brinjals?
4) Now you write some questions by looking at this picture.
Answer : Observe the given picture. Ramu grows chillies, brinjals, tomatoes, spinach, and potatoes
1) Observe the given picture. Out of 9 parts, tomatoes are in 3 parts. That is 3/9 = 1/3
Therefore, Ramu grows tomatoes in the biggest part of his field. That is one-third of the field.
2) The potatoes are in 2 out of 9 parts. That is 2/9 of the field. Therefore, he grows potatoes in the two-ninth part of the field.
3) Spinach is in 1 out of 9 parts. Therefore, he grows spinach in the one-ninth part of the field.
Brinjals are in 2 out of 9 parts. Therefore, he grows brinjals in the two-ninth part of the field.
4) Do it by yourself. Answers may vary. A sample question is: Which vegetable grows in the smallest part of his field? What part?
Question 10 : 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?
Answer :
There are 18 potatoes and 20 tomatoes in the given picture. See the given figure.
Step 1: Find the Aboobacker’s share as:
One-fifth of the tomatoes =1/5 X 20 = 20/5 = 4tomatoes.
1/3 of the potatoes = 1/3 X 18 =18/3 = 6 potatoes
Step 2: Find Srija’s share as:
2/5 of the tomatoes = 2/5 X 20 = 2 X 20/5 = 8 tomatoes
3/6 of the potatoes = 3/6 X 18 = 3 X 18/6 = 9 potatoes
Now, circle Aboobacker’s share in blue, and Srija’s share in yellow.
Since Nancy got the rest of the vegetables, count the vegetables that are not circled to find the share of Nacy.
Therefore, Nancy got 3 potatoes and 8 tomatoes.
Guess and Check
A) What part of each shape is coloured?
First, guess the answer, then check.
Solution:-
By looking at the figure, we can say that 1/8 of the shape is coloured.
(2)
Solution:-
By looking at the figure, we can say that 1/6 of the shape is coloured.
(3)
Solution:-
By looking at the figure, we can say that 2/9 of the shape is coloured.
(4)
Solution:-
By looking at the figure, we can say that 3/12 of the shape is coloured.
Coloured Parts
Question 12: Complete these:
1.
This circle is divided into two equal parts. Out of ………….. equal parts one part is coloured blue.
2.
Here the circle is divided into……………. equal parts. Out of ………….. equal parts, …………… parts are coloured blue.
3.
Here the circle is …………………………………………………
4.
Here the circle is ………………………………………………………
Answer :
1) This circle is divided into two equal parts. Out of two equal parts one part is coloured blue.
2) Here the circle is divided into four equal parts. Out of four equal parts, two parts are coloured blue.
3) Here the circle is divided into six equal parts. Out of six equal parts, three parts are coloured blue.
4) Here the circle is divided into eight equal parts. Out of eight equal parts, four parts are coloured blue.
Therefore,1/2 = 2/4 = 3/6 = 4/8
Cutting the Halwa
Question 13 : Ramesh bought a piece of halwa for his children Ammu and Anu.
He divided it equally for them.
a) Each will get ________ part of halwa.
b) “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?
c) “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?
d) What part of the halwa is each piece now?
e) If Ramesh had cut the halwa into 6 equal parts how many pieces each have got? Look at your answers and write:
1/2 = — = — = — = — = —
Answer :
a) Each will get ½ part of the halwa.
b) Ammu gets two pieces.
c) Since the halwa is divided into eight equal pieces, each one will get 4 pieces.
d) Since the halwa is divided into eight equal pieces, each piece is 1/8 of the halwa.
e) If the halwa is divided into six equal pieces, then each one will get three pieces.
1/2 = 2/4 = 4/8 = 3/6 = 8/16 = 16/32
Cutting the Halwa
Question 14 : a) Look at the picture. Write what part of the strip is each green piece. Write the part for a piece of each colour.
b) How many one-fourths will make a half?
c) How many 1/8 will make 1/4 ?
d) How many 1/8 are in 1/2?
Answer :
a) The green strip is divided into 4 equal parts. Therefore, each part is 1/4 of the whole green strip.
Part of a piece of each colour is shown below.
b) There are two one-fourths in one half.
c) There are two 1/8 in 1/4.
d) There are four 1/8 in 1/4.
Patterns
Question 15 : Look at the square.
a) What part is coloured blue?
b) What part is green?
Answer :
a) We can divide the given square in 16 equal squares as shown below.
Two out of 16 squares are coloured blue. Therefore,
2/4 or 1/8 part is coloured blue.
b) One out of the sixteen squares is coloured green. Therefore,
1/16 part is coloured green.
From a Part to the Whole
(i) This show 1/5 petals of a flower. Complete the flower by drawing the other petals.
Solution:-
(ii) The picture shows one-third of the blades of a fan. Complete the picture by drawing the other blades.
Solution:-
(iii) Half of the blades of another fan are shown here. Complete the picture by drawing the other half. How many blades have you drawn?
Solution:-
Rupees and Paise
Question 17 :
a) How many 50-paise coins will make one rupee?
b) Is 50 paise half of one rupee?
c) How many 25-paise coins will make one rupee?
d) 25 paise is _________ part of one rupee.
e) 20 paise is _________ part of one rupee.
f) How many 10 paise will make one rupee?
Answer :
a) Two 50-paise coins will make one rupee.
b) Since there are two 50-paise coins in one rupee, 50 paise is half of one rupee.
c) There are four 25-paise coins in one rupee.
d) Since there are four 25-paise coins in one rupee, 25 paise is one fourth part of one rupee.
e) There are five 20-paise coins in one rupee. Therefore, 20 paise is one-fifth of one rupee.
f) There are ten 10-paise coins in one rupee.
Question 18 :
Arun’s Time Table
Sleeping: One third of a day
a) Use different colours to show:
Playing: One eighth of a day
Studying: 1/4 of a day
Answer :
We know that, 24 hours in a day and above figure contains 25 box.
So, Arun spent one eighth of a day for playing = (1/8) × 24
= 1 × 3
= 3 hours = 3 box
He spent ¼ of a day for studying = ¼ × 24
= 1 × 6
= 6 hours = 6 box
Sleeping Playing Studying Other activities
b) How many hours does Arun take for:
Sleeping? ____ hours.
Studying? ____ hours.
Playing? ____ hours.
Answer : 8 hours for sleeping, 6 hours for studying and 3 hours for playing.
c) What part of the day does he use for other activities?
Answer : He uses the 7/24 part of the day for other activities.
School Magazine
Question 19 : 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.
Answer :
We know that there are 12 months in a year.
Quarter of the year = ¼ × 12
= 1 × 3
= 3 months
So, every three months, the school has to bring out a new magazine.
Question 20 : Have you heard of Kumbhakarna, the brother of Ravana? He is famous for sleeping for half a year.
a) Most people sleep about 8 hours a day. Then what part of a day is it?
b) So what part of a year do they sleep? A person 60 years old must have slept _______ years!!!
Answer :
a) There are 24 hours in a day. Therefore, 8 hours is
8/24 = 1/3PART Of a of day
Hence, most people sleep about one-third of a day.
b) A person 60 years old must have slept for = 1/3 × 60
= 1 × 20
= 20 years
Keerti’s Shopping List
Question 21 :
Look at the yellow price list.
a) How much does 2 kg of tomato cost?
Solution:-
From the price list, 1 kg of tomato = ₹ 12
Then, the cost of 2 kg of tomato = 12 × 2
= ₹ 24
b) How much does kg of tomato cost?
Solution:-
From the price list, 1 kg of tomato = ₹ 12
c) Kiran wants 2½ kg of tomato. How much will it cost?
Solution:-
From the price list, 1 kg of tomato = ₹ 12
For ½ kg of tomato = ½ × 12
= ₹ 6
Then, the cost of 2 kg of tomato = 12 × 2
= ₹ 24
So, the cost of 2½ kg of tomato = 24 + 6
= ₹ 30
d) How much does 3½ kg potato cost?
Solution:-
From the price list, 1 kg of potato = ₹ 10
For ½ kg of potato = ½ × 10
= ₹ 5
Then, 3 kg of potato = 3 × 10
= ₹ 30
So, cost of 3½ kg of potato = 30 + 5
= ₹ 35
e) What is the price of 1¼ kg of carrot?
Solution:-
From the price list, 1 kg of Carrot = ₹ 18
For ¼ kg of carrot = ¼ × 18
= 9/2
= ₹ 4.5
Then, 1¼ kg of carrot = 18 + 4.5
= ₹ 22.5
f) She bought a gourd of weight 4¾ kg, and it costs?
Solution:-
From the price list, 1 kg of gourd = ₹ 8
For 4 kg of gourd = 8 × 4
= ₹ 32
For ¾ kg of gourd = ¾ × 8
= 3 × 2
= ₹ 6
Then, cost of 4¾ kg of gourd = 32 + 6
= ₹ 38
g) Look at the shopping list in Keerti’s hand. How much will she have to pay to buy all of these?
Solution:-
| Item | Price per kg | Total price |
| Potato 2¼ kg | 10 | 22.50 |
| Carrot 3¼ kg | 18 | 67.50 |
| Gourd 1 ½ kg | 8 | 12 |
| Total | ₹ 102 | |
Question 22 : Raheem has to travel 1 1/4 km to reach school. What distance does he travel to go to school and come back home?
Answer :
First convert 1 1/4 in fraction as:
1 1/4 = 1 X 4 + 1 / 4 = 5/4
The distance from his home to school is 5/4 km. Therefore, the total distance covered in going to school and coming back to the home is
2 X 5/4 = 10/4 = 2 1/2 Km
Question 23 : 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?
Answer :
Latha spent Rs 15/2 on a pencil and a pen.
The total amount returned the shopkeeper is
10 – 7 1/2 = Rupee two and half.
Following are the possible combinations of half and quarters for rupee two and half.
One half-rupee coin and eight quarter-rupee coins.
Two half-rupee coins and six quarter-rupee coins.
Three half-rupee coins and four quarter-rupee coins.
Four half-rupee coins and two quarter-rupee coins.
Question 24 : At the railway station
a) What time is the train expected to come today?
b) Nazia gets off at a station after 2 1/2 hours from this station. What time will she get off?
c) Shaji will take 5 hours to reach Ernakulam by this train. At what time will he reach there?
Answer :
a) The right time is a quarter to 7, i.e., 6: 45
But, the train is delayed by half an hour, i.e., 30 minutes.
So, the exact time the train will arrive at 6: 45 + 0: 30 = 7: 15
b) From the question,
Nazia gets off at a station after = 2: 30 hours
Then, total time taken by Nazia to reach = 2: 30 + 7: 15
= 9: 45
c) From the question, it is given that
Shaji will take 5 hours to reach Ernakulam.
Then, the total time taken by Shaji to reach Ernakulam = 7: 15 + 5
= 12: 15
Related Post :-
Chapter 4. Parts and Wholes
Chapter 5. Does it Look the Same?
Chapter 6. Be My Multiple, I’ll be Your Factor
Chapter 7. Can You See the Pattern?
Chapter 8. Mapping Your Way
Chapter 9. Boxes and Sketches
Chapter 10. Tenths and Hundredths
Chapter 11. Area and its Boundary
Chapter 12. Smart Charts
Chapter 13. Ways to Multiply and Divide
Chapter 14. How Big? How Heavy?
NCERT Solutions Class 5 to 10
- NCERT Solutions for class 5 Maths
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- NCERT Solutions for class 5 Paryayana Adyayan
- NCERT Solutions for class 5 English
- NCERT Solutions for class 5 Hindi
Frequently Asked Questions on NCERT Solutions for Class 5 Maths Chapter 4
A1: NCERT Solutions for Class 5 Maths Chapter 4 are answers and explanations provided for the questions and exercises in Chapter 4 of the NCERT textbook for Class 5 Mathematics. They help students understand and solve the problems effectively.
Q2: What is the name of Chapter 4 in the Class 5 Maths NCERT textbook?
A2: The name of Chapter 4 in the Class 5 Maths NCERT textbook may vary depending on the edition or version of the book.
Q3: Where can I find NCERT Solutions for Class 5 Maths Chapter 4?
A3: NCERT Solutions for Class 5 Maths Chapter 4 can be found on the official website of the National Council of Educational Research and Training (NCERT) or in study materials and guidebooks specifically designed for Class 5 Maths.
Q4: Are NCERT Solutions for Class 5 Maths Chapter 4 helpful for exam preparation?
A4: Yes, NCERT Solutions for Class 5 Maths Chapter 4 are helpful for exam preparation. Regular practice with these solutions strengthens the foundation in mathematics.
Q5: Can I rely solely on NCERT Solutions for Class 5 Maths Chapter 4 for exam preparation?
A5: While NCERT Solutions for Class 5 Maths Chapter 4 are valuable resources, it is advisable to supplement them with additional study materials. Exams may include questions from other sources. Consulting reference books, practicing sample papers, and seeking guidance from teachers can enhance preparation.
Q6: Are NCERT Solutions for Class 5 Maths Chapter 4 available in PDF format?
A6: Yes, NCERT Solutions for Class 5 Maths Chapter 4 are available in PDF format. They can be downloaded from various educational websites, online learning platforms, or the official NCERT website for offline access.
Q7: Can self-learners use NCERT Solutions for Class 5 Maths Chapter 4?
A7: Absolutely! NCERT Solutions for Class 5 Maths Chapter 4 are designed for both self-learners and classroom learners. The clear explanations and solutions enable self-learners to understand concepts and practice independently.
Q8: Are NCERT Solutions for Class 5 Maths Chapter 4 applicable to all state boards in India?
A8: NCERT Solutions for Class 5 Maths Chapter 4 are primarily based on the NCERT curriculum. Many state boards in India follow or have adopted the NCERT curriculum. However, it’s recommended to cross-check with your specific state board’s syllabus for complete alignment.
Q9: Can NCERT Solutions for Class 5 Maths Chapter 4 be used for competitive exams?
A9: NCERT Solutions for Class 5 Maths Chapter 4 focus on foundational concepts and basic arithmetic operations. While they may not cover advanced topics required for competitive exams, they do strengthen fundamental understanding of mathematics.