The chapter “Shapes and Designs ” is Chapter 5 from Merry Math III for students of Class 3rd of JKBOSE. In a previous post, you read about Long and Short Class 3rd Math Solutions Part 2. This post is about Shapes and Designs Class 3rd Math Solutions. Let’s get started:
Shapes and Designs Class 3rd Math Solutions
Have Fun with Shapes
Colour the clown following the directions given below:
Triangles — Red
Squares — Yellow
Rectangles — Blue
Circles — Green
Ans.
How many triangles are there in the following figures?
Ans. (a) 12 triangles
(b) 11 triangles
(c) 13 triangles
Find the biggest rectangle in the figures given below.
Ans.
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 in a corner would be out. Then she/he would be blindfolded.
a) Looking at the picture given above, can you tell who is out?
Ans. Guddu is out.
b) Where is Guddu standing?
Ans. Guddu is standing in the middle of one edge of the table.
c) Can this game be played around a round table? Why?
Ans. No, this game cannot be played around a round table because the round table will not have any corner.
a) Look around you and identify things with straight and curved edges.
Ans. Things with straight edges: TV screen, table, notebook, notepad, wall and the things with curved edges are cricket ball, lemon, coconut,
b) Do the things with straight edges have corners?
Ans. Yes, things with straight edges have corners.
c) Do the things with curved edges have corners?
Ans. No, things with curved edges have corners do not have corners.
d) Try to find things which have both straight and curved edges.
Ans. Things having both straight and curved edges include electric guitars, bicycles, cars, and aeroplanes.
Activity Time
- Take a rectangular sheet of paper.
- Count its corners.
- Now fold one of its corners.
- a) How many corners does it have now?
- b) How many corners will you get by folding
- i) 2 corners
- ii) 3 corners
iii) 4 corners
- c) Can you fold this paper in such a way that it has only three corners? You are allowed only two folds.
What shape will you get?
Ans. 1. Students have to do it themselves.
- There are 4 corners in the paper.
- (a) Now, there are 5 corners in the paper.
(b) (i) 6 corners
(ii) 7 corners
(iii) 8 corners
(c) Yes, the paper can be folded in such a way that it has only three corners, using 2 folds. We will get a triangle.
- Students have to do it themselves.
- Yes, the corners of the square can be folded in such a way that the number of corners remains unchanged, i.e. 4.
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.
Ans.
In the following figures, tick (🗸) those which have corners. Do these figures have curved lines?
Ans.
Yes, these figures have curved lines also.
Using only straight lines, can you draw a figure which has no corners?
Ans. No, we can’t draw a figure which has no corners.
Tangram
The tangram is an old Chinese puzzle. From the pieces of the tangram, we can make many shapes of animals, people and things.
At the back of the book, you will find a square like the one in this figure. Cut it out carefully and cut the pieces. This set of five pieces is called the 5-piece tangram.
Use these five pieces to make the following figures:
Ans. Students have to do it themselves.
How many triangles do you have in your set? Are all of them equal in size? Find out.
Ans. There are 3 triangles in the given set, the triangles are named 1, 2 and 5. No all of them are not equal in size.
Use the two small triangles in the tangram set to get the following shapes:
Which two pieces of the tangram set are exactly the same? Find out.
Ans. The triangles 2 and 5 are exactly the same.
Take pieces 4 and 5 from the set and find out on which side of the triangle you can join the other piece.
Ans. We can join the piece numbered 4 on the slant side of the piece numbered 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) The longest side of 2 matches with one of the short sides of 1.
b) The longest side of 2 matches with the longest side of 4.
c) The longest side of 5 matches with one of the short sides of 1.
d) The longest side of 2 matches with the longest side of 5, the short side of 2 matches with the short side of 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.
Ans. Students have to do it themselves.
Weaving Patterns
Golu and Binu went to the market with their aunt. They saw many rugs (durries).
Which geometrical shapes can you identify in these borders? Draw them in your notebook.
Ans.
Is any shape repeating in a particular pattern? Which ones?
Ans. Yes, all the shapes are repeating in a particular pattern.
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.
Look at your clothes, your mother’s saris/shawls, rugs and mats. Can you identify some patterns? Draw them in your notebook.
Ans. Students have to do it themselves.
Floor Patterns
- Among the following, can you match the tiles with the designs that they will make on the floor? Draw lines to match.
Ans.
- Complete the following tiling pattern.
Ans.
- Compare it with the pattern on page 70 which also uses six-sided shapes. What is the difference between the two?
Ans. The pattern on page 70 has hexagons connected to each other. But in the pattern on this page, the hexagons are connected through triangles.
- 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. In the pattern, only one type of tile has been used but at different angles.
That’s it about Shapes and Designs Class 3rd Math Solutions Part 1. Hope it has helped. Do share your views about this post in the comment section below.
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