NCERT Solutions for Class 3 Maths - Shapes And Designs

Page No 61:

Ques 1: Colour the clown following the directions given below:
Triangles: Red Squares: Yellow Rectangles: Blue Circles: Green

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Page No 62:

Ques 1: How many triangles are there in the following figures?

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Ques 2: Find the biggest rectangle in the figures given below.

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Page No 63:

Ques 1: Edges and Corners Meeta and her 5 friends were playing a game. Tinku was blindfolded and asked to keep clapping as long as he wished while the others would move round a table. The moment Tinku stopped clapping, everybody would stop wherever they were. The child who was not at a corner would be out. Then she would be blindfolded.

(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 because he is not standing at any of the corners of the table.
(b) Guddu is standing in the middle of one of the sides of the table.
(c) No, this game cannot be played around a round table because a round table has no corners.

Page No 64:

Ques 1: (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) A book, an eraser and a page have straight edges and a cylinder, a pen and a bowl have curved edges.
(b) Yes, things with straight edges have corners.
(c) No, things with curved edges do not have corners.
(d) A pencil, a capsule and a knife have straight and curved edges.
Disclaimer: The answer may vary from student to student, based on his/her observation. It is highly recommended that the students prepare the answer on their own.

Page No 65:

Ques 1: Look at the following table and tick (✓) the names of things that have corners. Also count the number of edges and corners in each of them.

Name of thing	Whether it has corners	Number of edges	Number of corners
Die	Yes		8
Ball
Eraser
Egg
Sheet of paper

Ans:

Name of thing		Whether it has corners	Number of edges	Number of corners
Die	✓	Yes	12	8
Ball		No
Eraser	✓	Yes	12	8
Egg		No
Sheet of paper	✓	Yes	4	4

Ques 2: • In the following figures, tick (✓) those which have corners. Do these figures have curved lines? 

Page No 67:

Ques 1: How many triangles do you have in your set? Are all of them equal in size? Find out.
Ans: There are three triangles in a set. Only two out of the three are equal in size. We can check that by measuring the sides of the triangles.

Ques 2: Use the two small triangles in the tangram set to get the following shapes:

Ans: (1) Use triangles 2 and 5 to get the figure of a square.

(2) Use triangles 2 and 5 to get the figure of a triangle.

(3) Use triangles 2 and 5 to get the figure of a parallelogram.

Ques 3: Which two pieces of the tangram set are exactly same? Find out.
Ans: Pieces 2 and 5 are exactly the same. We can check that by measuring them with a scale.

Ques 4: Take pieces 4 and 5 from the set and find out on which side of the triangle you can join the other piece.

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Ques 5: 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) 

(b)

(c)

(d) 

Page No 68:

Ques 1: Use only triangles

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Ques 2: Use pieces 1, 2, 3 and 5

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Ques 3: Use only two triangles

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Ques 4: Use pieces 1, 2, 3, 4 and 5

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Page No 69:

Ques 1: Which geometrical shapes can you identify in these borders? Draw them in your notebook.

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Ques 2: Is any shape repeating in a particular pattern? Which ones?
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Ques 3: Are the shapes made of (i) Curved lines (ii) Straight lines (iii) Both curved and straight lines.
Ans: The shapes are made of both curved and straight lines.

Ques 4: Look at your clothes, your mother’s saris/shawls, rugs and mats. Can you identify some patterns? Draw them in your notebook.
Ans: Disclaimer: The answer may vary from student to student, based on his/her observation. It is highly recommended that the students prepare the answer on their own.

Page No 71:

Ques 1: Among the following, can you match the tiles with the designs that they will make on the floor? Draw lines to match.

You can also make your own tiles and use them to make your own tiling patterns. You will find some such tiles at the end of the book that you can cut out, trace and colour.
Ans: 

Some tile patterns are given below for reference.

Disclaimer: The answer may vary from student to student, based on his/her observation. It is highly recommended that the students prepare the answer on their own.

Ques 2: Complete the following tiling pattern.

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Page No 72:

Ques 1: 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: 

Both the shapes are regular hexagons. The only difference is that on rotating any one of the shapes by 90°, another shape appears.

Ques 2: 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 the same type of tile is used in the floor pattern in two directions: horizontal and vertical.