NCERT Solutions for Class 5 Maths (Math Magic) Chapter 3 How Many Squares?
Get here NCERT Solution for Class 5 Maths Chapter 3 for Free. NCERT Solutions for Maths Class 5 provided here are best answers by AglaSem School experts, who have many year of experience in this field. Class 5 NCERT Textbook Solutions cover all the exercises of each chapter. NCERT Solutions for Class 5 Maths Math Magic Book are given below.
Book Name: Math Magic
Subject: Maths
Chapter Number: 3
Chapter Name: How Many Squares?
You can also bookmark this page by clicking + Save to Library icon and refer to these NCERT Solutions anytime from your account. More Detail
Book Name: Math Magic
Subject: Maths
Chapter Number: 3
Chapter Name: How Many Squares?
You can also bookmark this page by clicking + Save to Library icon and refer to these NCERT Solutions anytime from your account. More Detail
Latest News
Finished viewing? Save it for later —
Download NCERT Solutions for Class 5 Maths (Math Magic) Chapter 3 How Many Squares? (PDF · 10 pages)Downloaded 122 times
About NCERT Solutions for Class 5 Maths (Math Magic) Chapter 3 How Many Squares?
NCERT Solutions for Class 5 Maths (Math Magic) Chapter 3 How Many Squares? is available here for free download. Published by NCERT for Class 5, this solution can be viewed online or downloaded as a PDF (10 pages). Candidates preparing for Class 5 can use NCERT Solutions for Class 5 Maths (Math Magic) Chapter 3 How Many Squares? to understand the exam pattern, the type of questions asked, and the overall difficulty level.
Frequently Asked Questions
How can I download NCERT Solutions for Class 5 Maths (Math Magic) Chapter 3 How Many Squares??
Open this page and click the Download button to save NCERT Solutions for Class 5 Maths (Math Magic) Chapter 3 How Many Squares? as a PDF. It is completely free on AglaSem Docs.
Is NCERT Solutions for Class 5 Maths (Math Magic) Chapter 3 How Many Squares? free to download?
Yes. NCERT Solutions for Class 5 Maths (Math Magic) Chapter 3 How Many Squares? can be viewed online and downloaded as a PDF free of cost on AglaSem Docs.
How many pages does NCERT Solutions for Class 5 Maths (Math Magic) Chapter 3 How Many Squares? have?
NCERT Solutions for Class 5 Maths (Math Magic) Chapter 3 How Many Squares? contains 10 pages, which you can read online or download together as a single PDF.
Where can I find more Class 5 study material?
You can find more Class 5 question papers, sample papers, syllabus, and answer keys on AglaSem Docs.
NCERT Solutions for Class 5 Maths (Math Magic) Chapter 3 How Many Squares? – Text
Read the full text of this solution below — useful to quickly search, copy and reference the content online without downloading the PDF.
📄 View text version (10 pages)
Page 1
NCERT
SOLUTIONS
CLASS - 5th
aglase .co
SOLUTIONS
CLASS - 5th
aglase .co
Page 2
Class : 5th
Subject : Maths
Chapter : 3
Chapter Name : How Many Squares?
Q1 Measure the side of the square on dotted sheet. Draw here as many rectangles as possible
using 12 such squares. How many rectangles could you make? ________
Answer. The side 7 square is 1 cm.
The following gure shows the possible rectangles using 12 squares. There are 7 rectangles.
2 rectangles are of size = 1 x 12 cm.
1 rectangles are of size = 2 x 6 cm.
4 rectangles are of size =3 x 4 cm.
Have a number of rectangles = 2 + 1 + 4 = 7
Page : 34 , Block Name : How Many Squares?
Q2 Which of these rectangles has the longest perimeter?
Answer. the perimeter of rectangles 1 x 12 cm.
= 2(l + b)
= 2(1 + 2)
= 2 × 13 = 26cm
the perimeter of the rectangle 2 × 6cm .
= 2(l + b)
= 2(2 + 6)
= 2 × 8 = 16cm.
the perimeter of the rectangle 3 × 4cm .
= 2(1 + b)
= 2(3 + 4)
= 2 × 7 = 14cm
since the rectangle 1 × 12 has the longest perimeter.
Page : 34 , Block Name : How Many Squares?
Q3 Which of these rectangles has the smallest perimeter?
Answer. The rectangle 3 x 4 has the smallest perimeter
Subject : Maths
Chapter : 3
Chapter Name : How Many Squares?
Q1 Measure the side of the square on dotted sheet. Draw here as many rectangles as possible
using 12 such squares. How many rectangles could you make? ________
Answer. The side 7 square is 1 cm.
The following gure shows the possible rectangles using 12 squares. There are 7 rectangles.
2 rectangles are of size = 1 x 12 cm.
1 rectangles are of size = 2 x 6 cm.
4 rectangles are of size =3 x 4 cm.
Have a number of rectangles = 2 + 1 + 4 = 7
Page : 34 , Block Name : How Many Squares?
Q2 Which of these rectangles has the longest perimeter?
Answer. the perimeter of rectangles 1 x 12 cm.
= 2(l + b)
= 2(1 + 2)
= 2 × 13 = 26cm
the perimeter of the rectangle 2 × 6cm .
= 2(l + b)
= 2(2 + 6)
= 2 × 8 = 16cm.
the perimeter of the rectangle 3 × 4cm .
= 2(1 + b)
= 2(3 + 4)
= 2 × 7 = 14cm
since the rectangle 1 × 12 has the longest perimeter.
Page : 34 , Block Name : How Many Squares?
Q3 Which of these rectangles has the smallest perimeter?
Answer. The rectangle 3 x 4 has the smallest perimeter
Page 3
Page : 34 , Block Name : How Many Squares?
Q1 Look at these interesting stamps.
a) How many squares of one centimetre side does stamp A cover? ________
And stamp B? ________
b) Which stamp has the biggest area? How many squares of side 1 cm does this stamp cover? How
much is the area of the biggest stamp? _____ square cm.
c) Which two stamps have the same area? _____. How much is the area of each of these stamps?
____ square cm.
d) The area of the smallest stamp is _____ square cm. The difference between the area of the
smallest and the biggest stamp is _____ square cm.
Area of stamp = l × b
Answer. a) = 6 × 3
= 8cm
The red triangle is half of the rectangle area.
b) Area of two rectangles =area of red rectangle + AREA OF green rectangle.
= 12 + 8
= 20 square cm
red triangle’s area is half of the rectangle
1
= × 20 = 10
2
Have both triangles have the same area.
c) Missing
d) Missing
Page : 35 , Block Name : Measure Stamps
Q1 Which has the bigger area — one of your footprints or the Page of this book?
Answer. The area of the Page of this book.
Page : 36 , Block Name : Guess
Q2 Which has the smaller area—two ve-rupee notes together or a hundred rupee note?
Answer. A hundred rupees note
Page : 36 , Block Name : Guess
Q3 Look at a 10 rupee-note.Is its area more than hundred square cm?
Answer. No, the area of hundred rupee note is more than the area of 10 rupees note..
Q1 Look at these interesting stamps.
a) How many squares of one centimetre side does stamp A cover? ________
And stamp B? ________
b) Which stamp has the biggest area? How many squares of side 1 cm does this stamp cover? How
much is the area of the biggest stamp? _____ square cm.
c) Which two stamps have the same area? _____. How much is the area of each of these stamps?
____ square cm.
d) The area of the smallest stamp is _____ square cm. The difference between the area of the
smallest and the biggest stamp is _____ square cm.
Area of stamp = l × b
Answer. a) = 6 × 3
= 8cm
The red triangle is half of the rectangle area.
b) Area of two rectangles =area of red rectangle + AREA OF green rectangle.
= 12 + 8
= 20 square cm
red triangle’s area is half of the rectangle
1
= × 20 = 10
2
Have both triangles have the same area.
c) Missing
d) Missing
Page : 35 , Block Name : Measure Stamps
Q1 Which has the bigger area — one of your footprints or the Page of this book?
Answer. The area of the Page of this book.
Page : 36 , Block Name : Guess
Q2 Which has the smaller area—two ve-rupee notes together or a hundred rupee note?
Answer. A hundred rupees note
Page : 36 , Block Name : Guess
Q3 Look at a 10 rupee-note.Is its area more than hundred square cm?
Answer. No, the area of hundred rupee note is more than the area of 10 rupees note..
Page 4
Page : 36 , Block Name : Guess
Q4 Is the area of the blue shape more than the area of the yellow shape? Why?
Answer. No. both shapes have equal area.
Page : 36 , Block Name : Guess
Q5 Is the perimeter of the yellow shape more than the perimeter of the blue shape? Why?
Answer. Now the perimeter of the blue shape is more than the perimeter of the yellow shape.
Page : 36 , Block Name : Guess
Q1 How will you decide whose hand is bigger — your hand or your friend’s hand?
Answer. My footprint is smallest then my friends footprint.We can decide after measuring the
area.No,the area is not same.
Page : 36 , Block Name : How Big Is My Hand?
Q2 What is the area of your hand? _______ square cm.
Answer. Missing
Page : 36 , Block Name : How Big Is My Hand?
Q3 What is the area of your friend’s hand? _______ square cm.
Answer. Missing
Page : 36 , Block Name : How Big Is My Hand?
Q1 Whose footprint is larger yours or your friend’s?
Answer. DIY
Page : 37 , Block Name : My Footprints
Q2 How will you decide? Discuss.
Answer. DIY
Page : 37 , Block Name : My Footprints
Q4 Is the area of the blue shape more than the area of the yellow shape? Why?
Answer. No. both shapes have equal area.
Page : 36 , Block Name : Guess
Q5 Is the perimeter of the yellow shape more than the perimeter of the blue shape? Why?
Answer. Now the perimeter of the blue shape is more than the perimeter of the yellow shape.
Page : 36 , Block Name : Guess
Q1 How will you decide whose hand is bigger — your hand or your friend’s hand?
Answer. My footprint is smallest then my friends footprint.We can decide after measuring the
area.No,the area is not same.
Page : 36 , Block Name : How Big Is My Hand?
Q2 What is the area of your hand? _______ square cm.
Answer. Missing
Page : 36 , Block Name : How Big Is My Hand?
Q3 What is the area of your friend’s hand? _______ square cm.
Answer. Missing
Page : 36 , Block Name : How Big Is My Hand?
Q1 Whose footprint is larger yours or your friend’s?
Answer. DIY
Page : 37 , Block Name : My Footprints
Q2 How will you decide? Discuss.
Answer. DIY
Page : 37 , Block Name : My Footprints
Page 5
Q3 Is the area of both your footprints the same?
Answer. DIY
Page : 37 , Block Name : My Footprints
Q4 Guess which animal’s footprint will have the same area as yours. Discuss.
Here are some footprints of animals — in actual sizes. Guess the area of their footprints.
Answer. The Footprint Of a monkey could be similar in the area as my footprint.
1
area of the blue triangle = (4 × 3) ×
2
= 10 square cm .
Hence, the total area = 6 + 4
= 10 square cm.
Page : 38 , Block Name : My Footprints
Q1 Write the area (in square cm) of the shapes below.
Answer. DIY
Page : 37 , Block Name : My Footprints
Q4 Guess which animal’s footprint will have the same area as yours. Discuss.
Here are some footprints of animals — in actual sizes. Guess the area of their footprints.
Answer. The Footprint Of a monkey could be similar in the area as my footprint.
1
area of the blue triangle = (4 × 3) ×
2
= 10 square cm .
Hence, the total area = 6 + 4
= 10 square cm.
Page : 38 , Block Name : My Footprints
Q1 Write the area (in square cm) of the shapes below.
Page 6
Answer.
1
area of triangle = × b × h
2
1
= × 3 × 4 = 6 Square cm.
2
area of square B = side × side
= 3 × 3
= 9 square cm.
1
area of shape c =2 + × 0 + 2
2
= 4 Square cm.
1
area of shape D =5 + × 2 + 0
2
= 6 square cm.
1
area of shape E = 18 + × 6 + 0
2
= 21 square cm .
1
area of shape F =4 × × 0 + 4
2
= 8squarecm
Page : 40 , Block Name : How Many Squares In Me?
Q1 Is he correct? Discuss
Answer. Yes, he is correct.
Page : 42 , Block Name : Complete The Shape
Q2 Explain how the green area is 4 square cm and the yellow area is 6 square cm.
1
area of triangle = × b × h
2
1
= × 3 × 4 = 6 Square cm.
2
area of square B = side × side
= 3 × 3
= 9 square cm.
1
area of shape c =2 + × 0 + 2
2
= 4 Square cm.
1
area of shape D =5 + × 2 + 0
2
= 6 square cm.
1
area of shape E = 18 + × 6 + 0
2
= 21 square cm .
1
area of shape F =4 × × 0 + 4
2
= 8squarecm
Page : 40 , Block Name : How Many Squares In Me?
Q1 Is he correct? Discuss
Answer. Yes, he is correct.
Page : 42 , Block Name : Complete The Shape
Q2 Explain how the green area is 4 square cm and the yellow area is 6 square cm.
Page 7
Answer. Area of green region = no of green square completely
= 4 square cm.
area of yellow region =6 square cm
Page : 42 , Block Name : Complete The Shape
Q3 Is Suruchi correct? How much is the blue area? . Explain.
Answer. Yes, Suruchi is correct.
area of the green triangle = ( 4 x 2) x 1/2
= 4 square cm.
area of footprint 4 square m.
area of dog’s footprint is 12 square m.(approximately)
Page : 43 , Block Name : Complete The Shape
Q4 Can you think of some other ways of completing the shape?
Answer. DIY
Page : 43 , Block Name : Complete The Shape
Q5 Try some other ways yourself.
Answer. DIY
Page : 43 , Block Name : Complete The Shape
Q6 Now ask your friends to solve these at home .
Answer. DIY
Page : 43 , Block Name : Complete The Shape
Q3 a) Draw one straight line in this rectangle to divide it into two equal triangles. What is the area
of each of the triangles?
b) Draw one straight line in this rectangle to divide it into two equal rectangles. What is the area
of each of the smaller rectangles?
c) Draw two straight lines in this rectangle to divide it into one rectangle and two equal triangles.
Answer. DIY
= 4 square cm.
area of yellow region =6 square cm
Page : 42 , Block Name : Complete The Shape
Q3 Is Suruchi correct? How much is the blue area? . Explain.
Answer. Yes, Suruchi is correct.
area of the green triangle = ( 4 x 2) x 1/2
= 4 square cm.
area of footprint 4 square m.
area of dog’s footprint is 12 square m.(approximately)
Page : 43 , Block Name : Complete The Shape
Q4 Can you think of some other ways of completing the shape?
Answer. DIY
Page : 43 , Block Name : Complete The Shape
Q5 Try some other ways yourself.
Answer. DIY
Page : 43 , Block Name : Complete The Shape
Q6 Now ask your friends to solve these at home .
Answer. DIY
Page : 43 , Block Name : Complete The Shape
Q3 a) Draw one straight line in this rectangle to divide it into two equal triangles. What is the area
of each of the triangles?
b) Draw one straight line in this rectangle to divide it into two equal rectangles. What is the area
of each of the smaller rectangles?
c) Draw two straight lines in this rectangle to divide it into one rectangle and two equal triangles.
Answer. DIY
Page 8
Page : 44 , Block Name : Practice Time
Q1 What is the area of the rectangle?
Answer. The area of this triangle =1.5 square m
Page : 44 , Block Name : Practice Time
Q2 What is the area of each of the triangles?
Answer. DIY
Page : 44 , Block Name : Practice Time
Q1 a) How many different shapes can you draw? ___________
b) Which shape has the longest perimeter? How much? _______ cm
c) Which shape has the shortest perimeter? How much? _______ cm
d) What is the area of the shapes? _______ square cm. That’s simple!
Answer. a) 10 different shapes can make.
b) The perimeter of all shapes is about 12 cm.
c) The perimeter of shape 3 has the shortest perimeter.
d) Area of each shape is 5 square cm.
Page : 45 , Block Name : Puzzles With Five Squares
Q2 Did you get all the 12 shapes using 5 squares?
Answer. Missing
Page : 46 , Block Name : Puzzles With Five Squares
Q1 What is the area of the rectangle?
Answer. The area of this triangle =1.5 square m
Page : 44 , Block Name : Practice Time
Q2 What is the area of each of the triangles?
Answer. DIY
Page : 44 , Block Name : Practice Time
Q1 a) How many different shapes can you draw? ___________
b) Which shape has the longest perimeter? How much? _______ cm
c) Which shape has the shortest perimeter? How much? _______ cm
d) What is the area of the shapes? _______ square cm. That’s simple!
Answer. a) 10 different shapes can make.
b) The perimeter of all shapes is about 12 cm.
c) The perimeter of shape 3 has the shortest perimeter.
d) Area of each shape is 5 square cm.
Page : 45 , Block Name : Puzzles With Five Squares
Q2 Did you get all the 12 shapes using 5 squares?
Answer. Missing
Page : 46 , Block Name : Puzzles With Five Squares
Page 9
Q3 Draw all the 12 shapes on a sheet of cardboard and cut them.
Answer. DIY
Page : 46 , Block Name : Puzzles With Five Squares
Q4 Try to arrange your 12 shapes in some other way to make a 10×6 rectangle. Could you do it?
Answer. The side gure show 12 shapes in different way.
Page : 46 , Block Name : Puzzles With Five Squares
Q1 Can you nd the tile which is repeated to make each of these oor patterns? Circle a tile in
each pattern.
Answer. Missing
Page : 48 , Block Name : Make Your Own Tile
Q2 How many tiles has she used?
Answer. Missing
Page : 49 , Block Name : Make Your Own Tile
Q3 What is the area of the oor pattern Ziri has made here?
Answer.
Area of patterm = l × b
= 12 × 3 = 36 square cm.
Page : 49 , Block Name : Make Your Own Tile
Q1 Which of these shapes will tile a oor (without any gaps)? Discuss. What is the area of these
shapes?
Answer. Missing
Page : 49 , Block Name : Practice Time
Q2 Make designs in your copy by tiling those shapes.
Answer. Missing
Answer. DIY
Page : 46 , Block Name : Puzzles With Five Squares
Q4 Try to arrange your 12 shapes in some other way to make a 10×6 rectangle. Could you do it?
Answer. The side gure show 12 shapes in different way.
Page : 46 , Block Name : Puzzles With Five Squares
Q1 Can you nd the tile which is repeated to make each of these oor patterns? Circle a tile in
each pattern.
Answer. Missing
Page : 48 , Block Name : Make Your Own Tile
Q2 How many tiles has she used?
Answer. Missing
Page : 49 , Block Name : Make Your Own Tile
Q3 What is the area of the oor pattern Ziri has made here?
Answer.
Area of patterm = l × b
= 12 × 3 = 36 square cm.
Page : 49 , Block Name : Make Your Own Tile
Q1 Which of these shapes will tile a oor (without any gaps)? Discuss. What is the area of these
shapes?
Answer. Missing
Page : 49 , Block Name : Practice Time
Q2 Make designs in your copy by tiling those shapes.
Answer. Missing
Page 10
Page : 49 , Block Name : Practice Time
Q3 Now you create your own new tiles out of a square. Can you do the same with a triangle? Try
doing it.
Answer. Missing
Page : 49 , Block Name : Practice Time
Q3 Now you create your own new tiles out of a square. Can you do the same with a triangle? Try
doing it.
Answer. Missing
Page : 49 , Block Name : Practice Time
Document Details
| Board / Org | NCERT |
| Exam | Class 5 |
| Type | Solution |
| Pages | 10 |
| Updated | 30 Apr 2026 |