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NCERT: Math-Magic Solutions for Class-3, Chapter-5: Shapes and Designs

**Shapes and Designs **deals with the concept of identifying basic 2-D geometrical shapes through their
sides and corners, reading map. This chapter have exercises on identifying rectangles, squares and triangles by
their sides and corners. Understanding map. Making shapes using tangrams.

The solutions for Math-Magic Chapter-5 have been created and verified by our experienced subject matter experts, according to the CBSE syllabus and guidelines of NCERT. For practice, our subject matter experts have created very interactive, activity-based, and Image-based worksheets on these topics to enhance learning.

Download Chapter 5 Shapes and Designs in PDF format for free here.

**Chapter 5:Shapes and Designs**

**Question 1 : **Colour the clown following the directions given below:

**Answer : **Following is the picture of the clown after coloring the shapes in it
as
per the instructions.

**Question 2 : **How many triangles are there in the following figures?

**Answer : **

There are 12 triangles.

There are 14 triangles.

There are 13 triangles.

**Question 3 : **Find the biggest rectangle in the figures given below.

**Answer : **In this figure, the biggest rectangle is marked pink in colour.

In this figure, the biggest rectangle is marked red colour.

In this figure, the biggest rectangle is marked green colour.

In this figure, the biggest rectangle is marked blue colour.

**Edges and Corners**

**Question 4 : **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/he
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?

**Answer : **

a) By the game rules, the child who was not at a corner would be
out. In the picture, Guddu is not standing near the corner. So,
Guddu is out.

b) Guddu is standing near the edge of the table.

c) Since there is no corner in a round table, this game cannot be
played around a round table.

**Question 5 : **

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.

**Answer : **Observe your surroundings and answer this question. Answers may
vary.

a) Following are few examples of things with straight edges.
Table, tv screen, diary, etc.
Following are few examples of things with curved edges.
Plates, wall clocks, tennis balls, etc.

b) Yes, the things with straight edges have corners.

c) No, the things with curved edges donâ€™t have any corners.

d) Following are few examples of things with both straight and
curved edges.
Car, spoon, guitar, etc.

**Activity Time**

**Question 6 : **

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 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?

**Answer : **Do the activity as instructed and answer the questions.

a) A rectangular sheet has 4 corners. If one corner is folded then
the number of corners will be 5.

b) (i) A rectangular sheet has 4 corners. If two corner are folded
then the number of corners will be 6.

(ii) A rectangular sheet has 4 corners. If 3 corner are folded then
the number of corners will be 7.

(iii) A rectangular sheet has 4 corners. If 4 corner are folded
then the number of a corner will be 8.

c) No, a rectangular sheet cannot be folded in such a way that it
has three corners.

**Question 7 : **Repeat the activity with a square sheet of paper.

**Answer : **Do it by yourself.

(i) A square sheet has 4 corners. If 2 corners are folded then the
number of corners will be 6.

(ii)A square sheet has 4 corners. If 3 corners are folded then the
number of corners will be 7.

(iii) A square sheet has 4 corners. If 4 corners are folded then the
number of a corner will be 8.

iv) Yes. a square sheet can be folded in such a way that it has 3
corners. It would look like a triangle.

**Question 8 : **Can you fold all the corners of the square sheet in such a way
that the
number of corners remains unchanged?

**Answer : **Yes, the corner of the square sheet can be folded in such a way that
the number of corners remain unchanged.

**Question 9 : **Look at the following table and tick (ïƒ¼ ) the names of things that
have
corners. Also, count the number of edges and corners in each of them.

**Answer : **Observe the given things and fill up the table. The correct answer is:

**Question 10: **In the following figures, tick (ïƒ¼ ) those which have corners.
Do these figures have curved lines?

**Answer : **The correct answer is:
The figures with curved lines are: Figure (i), (ii), (iv), (v), and (vii).

**Question 11 : **Using only straight lines, can you draw a figure which has no
corners?

**Answer : **No, using only straight lines it is not possible to draw a figure
which
has no corners.

**Tangram**

**Question 12 : **How many triangles do you have in your set? Are all of them
equal in size? Find out.

**Answer : **In the given set, there are a total of 3 triangles. No, all of
them
are not
in equal sizes.

**Question 13 : **Use the two small triangles in the tangram set to get the
following
shapes:

**Answer : **
(1) Using triangle 2 and triangle 5.

(2) Using triangle 2 and triangle 5.

(3) Using triangle 2 and triangle 5

**Question 14 : **Which two pieces of the tangram set are exactly same? Find
out.

**Answer : **
Triangle 2 and triangle 5 are exactly same.

**Question 15 : **Take pieces 4 and 5 from the set and find out on which side
of the triangle you can join the other piece.

**Answer : **Parallelogram 4 can be joined by slant side of the triangle 5.

**Question 16 : **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

**Answer : **

a) The longest side of triangle 2 matches with one of the short
sides of triangle 1.

b) The longest side of triangle 2 matches with one of the longest
sides of parallelogram 4.

c) The longest side of triangle 5 matches with one of the short sides
of triangle 1.

d) The longest side of triangle 2 matches with one of the longest
sides of triangle 5. The short side of triangle 2 matches with one
of the short sides of triangle 5.

**The 7â€“piece tangram**

**Question 17 : **Now try making the following shapes using only the pieces
written
here:

i) Use only triangles

ii) Use pieces 1, 2, 3, and 5

iii) Use only two triangles

iv) Use pieces 1, 2, 3, 4, and 5

**Answer : **

ii) Using shapes 2, 1, 3, and 5.

iii) Using shapes 6 and 7.

iv) Using shapes1, 2, 3, 4 and 5

**Weaving Patterns**

**Question 18 : **Which geometrical shapes can you identify in these
borders?
Draw
them in your notebook.

a) Is any shape repeating in a particular pattern? Which ones?
Are the shapes made of

(i) Curved lines

(ii) Straight lines

(iii) Both curved and straight lines.

b) Look at your clothes, your mother's saris/shawls, rugs, and mats.
Can you identify some patterns? Draw them in your notebook.

**Answer : **From these borders, it is easy to identify the circles,
hexagons
squares, triangles, parallelograms, and arcs.

a) Yes. Some shapes are repeating in a particular manner. These are
hexagons, circles, squares, etc.

In the 1st pattern and these are repeating.

In the 2nd pattern and these are repeating.

In the 3rd pattern and these are repeating.

(b) (i) Yes, the shapes are made of curved lines.

(ii) Yes. The shapes are made of straight lines.

(iii) Yes. The shapes are made of both curved and straight lines.

(c) Do it by yourself

**Question 19 : **Among the following, can you match the tiles with the
designs
that they will make on the floor? Draw lines to match.

**Answer : **
The correct answer is:

**Question 20 : **Complete the following tiling pattern.

**Answer : **
The complete tiling pattern is given below

**Question 21 : **Complete this pattern. Compare it with the pattern on
page
70 which also uses six-sided shapes. What is the difference
between the two?

**Answer : **
Complete the pattern by yourself.
To compare both the patterns first observe the pattern given on page
70. That pattern has hexagons that are connected by their sides. In
this pattern, the hexagons are connected through triangles. This is the
difference between the two designs.

**Question 22 : **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.

**Answer : **
Observing the pattern you can find that all the tiles used in the
patterns are in the shape of hexagons.

Hexagons are placed horizontally and vertically to make the floor
pattern.

**Tiling Time**

**Question 23 : **
The patterns below are made from this tile.

By using two colours it becomes a different pattern of blue and
yellow flowers.

Use different colour combinations to make your own patterns.

**Answer : **
Do it by yourself. Answers may vary. A sample answer is:

**Question 24: **Have you seen this shape in any other design â€” on a wall,
a
dress,
on a basket, a mat, etc.?

**Answer : **
Do it by yourself.

**Treasure Hunt**

**Question 25 : **CFranke and Juhi's mummy has hidden a surprise gift for
both
of
them.
But she wants them to find out the gift through a treasure hunt. She has
written some instructions here. Can you help Juhi and Franke in finding
their gift?

a) Start from the tallest tree.

b) Go forward on the pathway.

c) From the sixth tile, turn left.

d) After moving a few steps again, you will find a plant on your
right-hand side.

e) Colour the dress of the child playing closest to this plant.

f) Start moving again from the plant.

g) On the fourth tile, turn left again.

h) On the way, you will find the corner of the fourth tile is broken.

i) You will find a bat and a ball lying on the ground. Don't pick
them up, just circle them.

j) Move ahead and turn right.

k) You will find a mango tree. A few mangoes can be seen on the
tree. Colour 11 mangoes on the tree.

l) Also draw some grass near the mango tree and start moving
again on the pathway.

m) When you go straight, you will find a house.

n) Behind that house there is a bag. Open it and you will find
something sweet in it! Can you tell what their mother has kept in
the bag?

**Answer : **
The correct answer is: