Students can use Maths Mela Class 3 Solutions Chapter 5 Fun with Shapes Question Answer to explore alternative problem-solving methods.
Class 3 Maths Chapter 5 Fun with Shapes Question Answer Solutions
Fun with Shapes Class 3 Maths Question Answer
Class 3 Maths Chapter 5 Solutions
Let us Do
Question 1.
Make Amma’s rangoli on the dots given below.
Answer:
Make Amma’s rangoli on the dots
Question 2.
Name the shapes drawn in Amma’s rangoli:
______, _______, _______
Answer:
The shapes drawn in Amma’s rangoli.
Square, triangle, circle.
Question 3.
How many shapes are made with
(i) Curved lines _____
(ii) Straight lines _____
Answer:
Number of shapes are made with
(i) Curved lines – 4
(ii) Straight lines – 10
Question 4.
Use cut outs of shapes to make a rangoli design. Outline the object and colour.
Answer:
Do yourself.
Question 5.
Try to make the following objects using shape cutouts.
Answer:
Do yourself
Let us Do
Question 1.
Collect some cardboard boxes and open them up carefully.
What shapes do you see in the flattened boxes?
Answer:
Do yourself. (with the helps of Teacher/Parents)
Question 2.
Make an Envelope. Use a square piece of paper and fold it as shown in the picture.
Answer:
Do yourself.
Baking biscuits
Why did the two children get different shapes? Discuss.
Name any three objects that have rectangular faces.
_______, _______, __________
Let us Do
Question 1.
Trace all the faces of any cuboidal object.
(example — sharpener or eraser)
(a) How many different faces did you get? ____________
(b) What shapes are these faces? ____________
(c) Did you get a square? ____________
(d) Can you get six different rectangles by tracing a cuboid? ____________
(e) Can a cuboid have a face like a triangle? ____________
(f) The faces of a cuboid are ____________ or ____________ in shape.
Answer:
(a) How many different faces did you get? Six
(b) What shapes are these faces? Rectangle and square
(e) Did you get a square? No
(d) Can you get six different rectangles by tracing a cuboid? No
(e) Can a cuboid have a face like a triangle? No
(f) The faces of a cuboid are rectangle or square in shape.
Question 2.
Construct the rectangles using the sides given below:
Answer:
Question 3.
Draw 3 bigger rectangles around this small rectangle.
Answer:
Question 4.
Count and write the number of rectangles in the following picture.
Answer:
The number of rectangles in the picture are:
Question 5.
Look at the different rectangles given below and answer the following questions.
(a) How many sides are there in a rectangle? _______
(b) How many corners are there in a rectangle? _______
(c) Are there any sides in a rectangle that are equal in length to each other? _______
(d) What do you notice in a rectangle? Describe it in your own words.
Answer:
(a) Number of sides in a rectangle are = 4
(b) Number of corners in a rectangle are = 4
(c) Yes
(d) In a rectangle, there is 4 sides and 4 corners. Opposite sides are equal in rectangle.
Same to Same
Question 1.
Both have ____ sides.
Answer:
Both have 4 sides.
Question 2.
Both have ___ corners.
Answer:
Both have 4 corners.
• How many squares do you see in this drawing?
________________
Answer:
Number of square in this drawing are = 6
Let us Do
Question 1.
Here is a square. Draw 2 bigger squares around this square.
Answer:
Draw 2 bigger squares around this square.
Question 2.
Use matchsticks to make a square so that it has squares on all its sides. How many squares did you get?
Answer:
Question 3.
Complete the squares using the sides given below.
Answer:
Complete the squares
Question 4.
Use the square cutouts from the book to do this activity.
How many different shapes can you make by joining
(a) 2 squares
(b) 3 squares
(c) 4 squares
Show them in a dot grid. Some dot grids are provided in the back of the book.
Answer:
Do yourself.
Let us Explore
Question 1.
Tick (✓) the shapes that are rectangles.
• Which figures are not rectangles? Explain why.
Answer:
The figures in which opposite sides are not equal and are not rectangles.
Question 2.
Can you fold all the corners of a square sheet in such a way that the number of corners remains the same?
Answer:
Do yourself.
Question 3.
Make a square on a cardboard sheet and cut along the dotted lines marked on the square as shown to get 4 triangles. Make as many different shapes as possible by joining three triangles together. How many shapes can you make?
Now try with four triangles together.
Answer:
Do yourself.
Square corners
Are the corners of a square the same? ________
How do you know?
Pile up some squares over one another and see.
Are the corners of a rectangle the same?
How do you know?
Pile up some rectangles over one another and see.
Are the corners of the square and a rectangle the same?
Name some objects in your class that have only square corners.
Answer:
Some objects that have only square corners.
Square paper, table, chart, book, notebook.
Let us Do
You can join two paper strips to show different corners.
Use the strips to show a square corner, more than a square corner and less than a square corner.
Can you use the strip to check whether the corner of your table and the board are square corners?
Question 1.
Mark the square corners in these shapes.
Answer:
Question 2.
Connect the dots to make some squares.
How many different squares did you get?
__________
Answer:
Connect dots to make squares.
We get 2 squares.
Question 3.
Look at the picture given below and answer the following.
a. Count and write the number of corners. _____
b. Circle the square corners.
Answer:
(a) The number of corners are = 17
(b) Circle the square corners.
Question 4.
Use two matchsticks to make two square corners and then four square corners. Draw and show it in the space given below:
Answer:
Four square corners
Question 5.
Murugan made three squares with 10 matchsticks.
How many squares can you make with 12 matchsticks?
Answer:
We can make 4 squares with 12 matchsticks.
Triangle – Triangle …so many Triangles
Answer:
Triangles have three sides. They have three corners
Let us Do
Question 1.
Draw and name some triangular objects that you see around you, in your notebook.
Answer:
Some triangular shape
Question 2.
Count the number of triangles in the given rangoli.
(a)
________________
(b)
__________
Answer:
The number of triangles in the rangoli.
(a) 16
(b) 16
Question 3.
How many different triangles can be made using the dots on this circle?
_______
Answer:
Triangles can be made using the dots. 8
Question 4.
Move two matchsticks to turn the one triangle into two triangles.
Answer:
Circus with Circles
Let us Discuss
Question 1.
Have you been to a circus?
Answer:
Do yourself.
Question 2.
What does a circle look like? How is a circle different from a rectangle?
Answer:
A circle looks like a round shape. It is different from a rectangle as it has no sides or corners.
Let us Do
Question 1.
Name some objects that are like circles.
Answer:
Some objects that are like circles-
Ball, Bangle, Ring, Plate.
Question 2.
Draw colourful circles to complete the circus scene.
Answer:
Do yourself.
Question 3.
Draw circles by tracing bottle caps, bangles, and rings in your notebook.
Answer:
Do yourself.
Children are playing a game. They have made a circle on the ground.
Have you played any game where you need to draw a circle? ______
Answer:
ring a – ring a roses.
Try to make a circle on the playground.
Let us take a paper plate and fold it in half the same ways as the children did.
The point where the lines meet is the center of the circle.
Make some puppets using circular shapes and play with them.
Let us Do
Question 1.
Look at these two shapes and discuss their similarities and differences. Tick (✓) the appropriate word.
Answer:
Tick (✓) the appropriate word
Question 2.
Choose any pair of shapes. Share the similarities and differences in these shapes with your friends.
Answer:
Shape (a) has 5 sides and shape (b) has 6 sides.
Both shapes do not have square corners.
Question 3.
Find the largest rectangle in these shapes.
Answer:
Question 4.
I made one triangle. Then I made another row of triangles.
How many triangles are there in the second figure?
__________
If I make one more row, how many triangles will be there in the third figure?
__________
Answer:
Number of triangles in the second figure.
Number of triangles in the third figure.
Question 5.
Here are some rectangles that are torn. How many square pieces have been torn from each shape?
Answer:
Number of square pieces have been torn from each shape.
Question 6.
Each of these shapes can be the odd one out.
How is each one odd? Discuss.
Answer:
Do yourself.
Question 7.
To complete the rectangle, tick (✓) the appropriate shapes from the left side to fill the gaps in the shape on the right side.
Answer:
Question 8.
Draw two lines to split the shape into three triangles.
Answer:
Question 9.
Draw one line to split the shape into three triangles.
Answer:
Question 10.
Make the following shapes with different sizes and orientations (angular positions) in your notebook.
(a) Triangle
(b) Rectangle
(c) Circle
(d) Other shape
Answer:
(a) Triangle
(b) Rectangle
(c) Circle
(d) Other shape
Doors-dots-lines
Answer:
Border designs using both curved and straight lines.
Try to make your own border designs using both curved and straight lines.
Continue the following line pattern.
Answer:
Tangram
Use the pieces from the tangram puzzle given in the end of the book. Can you create these shapes using some of the pieces?
NCERT Solutions for Class 3 Mathematics Chapter 5 Shapes and Designs (Old Syllabus)
Have Fun with Shapes
1.How many triangles are there in the following figures?
Ans. (a) There are 8 triangles in figure (i)
(b)There are 8 triangles in figure (ii)
(c)There are 9 triangles in figure (iii).
2.Find the biggest rectangle in the figures given below:
Ans. Biggest rectangles in the figures are shown enclosed in thick lines.
Edges and Corners
1.(a)Looking at the picture given above, can you tell who is out?
(b)Where is Guddu standing?
(c) Can this game be played around a round table? Why?
Ans. (a) Guddu is out as she is not at a comer of the table.
(b)Guddu is standing against the edge of the table.
(c)No, this game cannot be played around a round table as it has no corners.
2.(a) Look around you and identify things with straight and curved edges?
(b)Do the things with straight edges have corners?
(c)Do the things with curved edges have corners?
(d)Try to find things which have both straight and curved edges.
Ans. (a) Following things have straight edges; picture, book, door, newspaper, blackboard.
Following things have curved edges; ball, grapes, apple, lemon, coconut.
(b)Yes, things with straight edges have comers.
(c)No, things with curved edges have no corners.
(d)Following things have both straight and curved edges; bread, violin, electric guitar, car, screw-driver.
Activity Time
1.Take a rectangular sheet of paper.
2.Count its corners.
3.Now fold one of its corners.
(a)How many corners does it have now?
(b)How many comers will you get by folding?
(i)2 cpmers, (ii) 3 comers, (iii) 4 corners.
(c)Can you fold this paper in such a way that it has only three comers? You are allowed only two folds. What shape will you get?
4.Repeat the activity with a square sheet of paper.
5.Can you fold all the corners of the square sheet in such a way that the number of corners remains unchanged?
Ans. 1.Do as directed.
2.There are four corners.
3.(a) Five comers.
(b)(i) 6 comers, (ii) 7 comers, (iii) 8 corners.
(c)Yes, it can be folded to have three corners by folding it twice. The shape thus obtained is a triangle.
4.Do as directed.
5. Yes, all the corners of the square sheet can be folded in such a way that the number of corners remains unchanged.
2.
Ans.
3.
Ans. Yes, these figures have curved lines also.
4.Using only straight lines, can you draw a figure which has no corners?
Ans.No, we cannot draw a figure which has no corners; using straight lines.
Tangram
1.How many triangles do you have in your set? Are all of them equal in size? Find
If out.
Ans. There are three triangles in the set. No, all of them are not equal in size. These triangles are numbered as 1, 2, 3, 4 and 5 in the tangram.
2.Use the two small triangles in the tangram set to get the following shapes:
Ans. The given shapes can be made as under by using two small triangles numbered 2 and 5 in the tangram are shown below:
3.Which two pieces of the tangram set are exactly same? Find out.
Ans. The two pieces numbered 2 and 5 of the tangram set are exactly same.
4.Find matching sides among the following pairs of pieces:
(a)Pieces 1 and 2 (b)Pieces 2 and 4
(c)Pieces 1 and 5 (d)Pieces 2 and 5
Ans. (a) Longest side of piece 2 with the smaller side of piece 1.
(b) Smaller side of piece 2 with smaller side of piece 4 and longest side of piece 2 with longest side of piece 4.
(c)Longest side of piece 5 with the smaller side of piece 1.
(d)Longer side of piece 2 with the longer side of piece 5 and smaller side of piece 2 with the smaller side of piece 5.
The 7-piece Tangram
Here is the picture of a seven-piece tangram.
You can cut out these pieces and put them together in different ways to make some very interesting shapes.
Try making these shapes:
1.Now try making the following shapes using only the pieces written here:
Ans. Shapes using the desired pieces are shown against them as under:
Weaving Patterns
Golu and Binu went to the market with their aunt. They saw many rugs (durries).
1.Which geometrical shapes can you identify in these borders? Draw them in your notebook.
Ans. The geometrical shapes used in these borders are:
2.Is any shape repeating in a particular pattern? Which ones?
Ans. Yes, many shapes are repeating in a particular manner such as:
3.Are the shapes made of
(i) Curved lines (ii) Straight lines
(iii) Both curved and straight lines.
Ans. Shapes are made of both curved and straight lines.
4.Look at your cloths, your mother’s saris/shawls, rugs and mats. Can you identify some patterns? Draw them in your notebook.
Ans. Make two or three designs which usually appear on cloths, your mother’s saries/ shawls, rugs and mats.
5.Complete the following tiling pattern.
Ans. Complete pattern is as under:
6.Complete this pattern. Compare it with the pattern on page 70 which also uses six sided shapes. What is the difference between the two?
Ans. Here hexagons are interconnected with each other sides directly whereas here two triangles appear between the hexagons.
7.Khushboo and Hariz live in Agra. One day they went to see the Taj Mahal. The floor had the pattern shown below:
What do you think? Discuss with your friends.
Ans.I think only one type of tile has been used but their placements differ.
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