Teachers can assign these Maths Mela Class 4 Worksheet and Class 4 Maths Chapter 1 Shapes Around Us Worksheet with Answers Pdf Download for daily practice.
Class 4 Maths Chapter 1 Shapes Around Us Worksheet with Answers Pdf
Shapes Around Us Class 4 Maths Worksheet
Class 4 Maths Chapter 1 Worksheet with Answers – Class 4 Shapes Around Us Worksheet
Let us write
Write the names of the following shapes:

Nets of Solids

Let us match
Match each solid shape to its net.

Prism:
A prism is a type of three-dimensional (3D) shape with flat sides. It has two ends that are the same shape and size (and look like a 2D shape).

Pyramid:
A pyramid is also a three-dimensional (3D) shape. It has a polygon base and flat (triangular) sides that join at a common point (called the apex).

Question 1.
Fill in the blanks:

Question 2.
Here are cut pieces of a prism.

Which solid has the above pieces in its net?

Classify each figure as a Prism or a Pyramid.

Faces, Edges, and Corners of 3D Shapes
1. The surface of a solid shape is called its face. The face of a solid may be flat or curved.

2. The edge is where two faces meet.

3. The corner or vertex is where two or more edges meet.

Faces, Edges, and Corners of Some Common Solid Shapes:
(a) Cube: A cube has 6 flat faces. All the faces of a cube have the same shape and size. It has 12 straight edges. It has 8 corners.
Example: Dice

(b) Cuboid: A cuboid has 6 flat faces, 12 edges, and 8 corners. The opposite sides of each face are equal.
Example: Match Box

(c) Cylinder: A cylinder has 3 faces (2 plane or flat and 1 curved). It has 2 edges.
Example: Candle

(d) Cone: A cone has 2 faces, 1 plane surface, and 1 curved surface. It has only 1 edge and 1 corner.
Example: Ice Cream Cone

(e) Sphere: It has no edge and no corner but has only 1 curved face.
Example: Ball

(f) Triangular Prism: The base of a triangular prism is a rectangle. It has five faces (three rectangular and two triangular). It has 9 edges and 6 vertices.
Example: Tent

(g) Triangular Pyramid: A triangular pyramid has 4 corners and 6 edges. 4 triangular faces form it.

(h) Square Pyramid: The base of a square pyramid is a square. It also has 5 faces, 5 corners, and 8 edges.
Example: Building a Roof

Question 1.
Complete the following table:

Question 2.
Tick the correct shape:

Question 3.
What type of surfaces do they have? Write ‘P’ for plane and ‘C’ for curved surface.

Question 4.
Colour the base of the given solids Green, all the edges Blue, and the corners Red.

Cubes
Question 1.
In each of the following arrangements, find the number of cubes.

Question 2.
Identify the nets that can be used to make cubes:

Angle
An angle is formed when two lines meet at a common endpoint.

How many angles do I have?
Question 1.

A triangle has 3 angles.
Question 2.

A square has __________ angles.
Question 3.

A rectangle has __________ angles.
Question 4.

A pentagon has __________ angles.
Question 5.

A hexagon has __________ angles.
Question 6.
Where do we see angles in everyday life? Give five examples.
_________________________________
_________________________________
_________________________________
_________________________________
_________________________________
Question 7.
Draw two acute angles, two obtuse angles, and two right angles.

Question 8.
Match the following:

Question 9.
In the word MATH, mark the angles and complete the table.

Dice
Dice are cubes. They have 6 faces. Traditionally, one to six dots are marked on each face, and each face has a different number of dots. The sum of numbers on each pair of opposite faces is 7. The face opposite to 2 is 5, and the face opposite to 3 is 4, and the face opposite to 6 is 1.
Question 1.
Which number will be opposite to 5?

(a) 2
(b) 3
(c) 1
(d) 6
Question 2.
The opposite face of face numbered 1 is:

(a) 2
(b) 5
(c) 6
(d) 4
Question 3.
The opposite face of face numbered 4 is:
(a) 3
(b) 2
(c) 1
(d) 5
Question 4.
The opposite face of face numbered 6 is __________
Question 5.
The opposite face of face numbered __________ is 2.
Count the Shapes
Question 1.
How many triangles can you count in this shape? __________

Question 2.
Count the number of triangles in this shape: __________

Question 3.
Count the number of squares: __________

Question 4.
Count the number of rectangles: __________

Matchstick Puzzles
1. Move 3 matchsticks to get 5 squares.

2. Move 2 matchsticks to get 3 triangles.

3. Make the fish swim in the opposite direction by moving only three matchsticks.

4. Remove one matchstick to leave three squares.

5. Remove six matchsticks to leave four triangles.

Circles
A circle is a round-shaped figure that has no or edges.

Examples: A Car tire, a wall clock that tells time, and a lollipop.
Center of a Circle
The center of a circle is the center point in a circle from which all the distances to the points on the circle are equal.

Radius of a Circle
A radius is a line segment with one endpoint at the center of the circle and the other endpoint on the circle.

Diameter of a Circle
A line segment passing through the center of a circle, and having its endpoints on the circle, is called the diameter of the circle.

Circumference
The circumference of a circle is the distance around a circle. It is the same as the perimeter of other shapes.

Chords of Circle
A line segment with its endpoints lying on a circle is called the chord of the circle.
The diameter of a circle is its largest chord.

Question 1.
Fill in the blanks:
(a) The radius is __________ of the diameter.
(b) The longest chord of a circle is called __________
(c) The distance around the circle is called __________
(d) The diameter of a circle always passes through its __________
(e) The __________ divides the circle into two equal parts.
(f) The distance from the centre of the circle to the boundary in any direction is called __________ of the circle.
Question 2.
Tick (✓) the correct option:
(a) A circle always has __________ centre(s).
(i) one
(ii) four
(iii) six
(iv) two
(b) The line segment that joins the centre of the circle and the boundary:
(i) radius
(ii) diameter
(iii) chord
(iv) none of these
(c) A circle is a __________ figure.
(i) open
(ii) closed
(iii) open, curved
(iv) none of these
(d) A circle is formed by __________ line.
(i) straight
(ii) zig-zag
(iii) curved n
(iv) none of these
(e) Choose the option which is a circle:
(i) ![]()
(ii) ![]()
(iii) ![]()
(iv) ![]()
Shapes Around Us Class 4 Worksheet
Anaya visited Hyderabad with her parents. During her trip, she visited many places, one of which was the Charminar. After the trip, when she went to school, her maths teacher assigned the class to make a model of any building they had seen using solid blocks. Since Anaya recently visited the Charminar with her parents, she is trying to make a model of this monument using wooden blocks.

Observe the above model of ‘Charminar’ and answer the following questions:
Question 1.
Identify the shapes of solid blocks used in the model and write their names.
_______________________________________________
_______________________________________________
Answer:
Cuboid, cylinder and sphere
![]()
Question 2.
What is the shape of the blocks used in the minarets of the Charminar in the model?
_______________________________________________
_______________________________________________
Answer:
Cylinder and sphere
Question 3.
What parts of the building have been made in her model by using cubical and cuboidal-shaped blocks?
_______________________________________________
_______________________________________________
Question 4.
Identify the following monuments and write their names. Also, make models of these buildings using blocks.

Answer:
(a) Qutub Minar
(b) Gol Gumbaz
Question 5.
Are the models similar to the pictures of the real buildings? How?
Question 6.
Ariaya’s younger brother has made a model of a lighthouse, as shown below.

(a) Do you think it looks like a lighthouse? ______________
(b) What shape would you use if you made this model? And why?
_______________________________________________
_______________________________________________
Answer:
(a) No
(b) Cylindrical, and conical shapes
Question 7.
Make a model of an igloo and a hut by using coconut shells. Then, draw their outline in the space given below.
Question 8.
Observe the following objects. Are these the same? What is common, to all these pictures of the objects?

_______________________________________________
_______________________________________________
Answer:
The shape of all the objects are cubical.
Craft
Yesterday was Anaya’s birthday. On her birthday, she got many gifts in different-shaped boxes such as cubical, cuboidal, cylindrical, etc. She opens one of the boxes to see how the open box looks.

This is the net of the box.
If you fold along the lines, you will get the box back.
So, a net is a two dimensional (2D) shape or plane that can be folded to make a three-dimensional (3D) or solid shape.
Question 9.
Match the solids with their correct net.

Answer:

Question 10.
Complete the nets of the following solid shapes.

Answer:

Question 11.
Look at the dice shown here. The number of dots on the opposite faces adds up to 7. Fill in the missing dots on the correct faces.

Answer:

Question 12.
Which of the following nets can be folded to make a cube?

Answer:
(c)
Prism
A solid shape made up of all plane faces, in which the top and bottom faces are identical polygons called bases and lateral faces are rectangular is known as a prism. A prism is named after the shape of its bases.

Cubes and cuboids are also called prims.
Since a cube has a squared face as a base, it is called a square prism, and a cuboid has a rectangular face as a base, so it is called a rectangular prism.
Also, if a prism has a triangular base, it is called a triangular prism.
![]()
Question 13.
Recognise the shape of the following prisms and write their name. Also, Identify the shapes of their bases and complete the following table.

Answer:

Pyramid
A solid shape made up of flat faces, in which a base is a polygon and lateral faces are triangular which meet at a point called the apex is known as a pyramid.

So, a pyramid shape has only one vertex (corner) at the top.
The figure alongside is a rectangular pyramid as it has a rectangle as a base.
Question 14.
Identify the name of the following pyramid shapes and complete the table given below.

Answer:

Sorting 3D Shapes
Some solid shapes have only flat faces, some have only curved faces, and some have both flat and curved faces. Similarly, some shapes have straight edges, and some have both straight and curved edges.
Question 15.
Complete the table given below.

Answer:

Question 16.
Give two examples of real-life objects that have:
(a) only curved face(s) – (i) ______________ (ii) ______________
(b) only flat face(s) – (i) ______________ (ii) ______________
Also, draw them in the space given below.
Answer:
(a) (i) Football (ii) Globe
(b) (i) Matchbox (ii) Geometry box
Question 17.
The names of some solid skapes kave been given kere.
Cube, cuboid, cylinder, triangular prism, cone, spkere, rectangular pyramid, pentagonal prism, hexagonal pyramid, keptagonal prism.
Sort them by the number of faces and number of edges into the following table:

Answer:

![]()
Question 18.
Can you sort “solids with curved faces” and “solids with flat faces”? Sort tkem.

Answer:

Question 19.
Identify. Who am I?
(a) I have 6 identical flat faces, 12 straight edges and 8 corners. ______________
(b) I have 2 flat faces, 1 curved face and 2 curved edges. Also, I have no corners. ______________
(c) I have 1 flat face, 1 curved face and 1 curved edge. ______________
(d) I have 7 flat faces, 10 corners and 15 edges, and 2 of my faces are pentagonal. ______________
(e) I have 4 flat faces, 4 corners and 6 straight edges. ______________
(f) I have 1 curved face. I have no edges or corners. ______________
Answer:
(a) Cube
(b) Cylinder
(c) Cone
(d) Pentagonal prism
(e) Triangular pyramid
(f) Sphere
Build with Cubes
Ronny and his friend are playing with cubical blocks. They build some structures by placing cubes side by side and on the top of other cubes.

Question 20.
Some structures/ towers are made by Ronny and his friend using unit cubes.
How many unit cubes are In each of these cube towers?

Answer:
(a) 20
(b) 15
(c) 12
(d) 24
(e) 80
(f) 37
Drawing Cubes on Triangular Dot Paper Triangular dot paper is also called Isometric dot paper. It is a special paper on which dots are drawn in the form of an equilateral triangle. A cube of 2 units is shown in the given figure.

Question 21.
Draw the following on. a triangular dot paper.
(a) a cube of 3 units
(b) a cube of 4 units
(c) a cuboid of dimensions 2 units × 5 units × 3 units

Question 22.
Complete the following figures to make a:
(a) Cuboid

(b) Cube

When Lines Meet
When two rays or straight lines meet or intersect at a point, they form an angle.
The rays forming the angle are called the arms of the angle.
The common point is called the vertex of the angle.
In the given figure, OA and OB are arms of the angle AOB. O is the vertex of the angle AOB. The symbol for an angle is ‘∠’. Thus, we write it as ∠AOB and read it as ‘angle AOB’. It can also be written as ∠BOA. Note that the vertex of the angle is always written in the middle.
Critical Thinking
Where do you see the angle around you? Write in the given blank space.
Question 23.
Which of the following figures shows an angle?

Answer:
(b) and (d)
Question 24.
Name the following angles.

Answer:
(a) ∠PQR
(b) ∠XYZ
(c) ∠LMN
(d) ∠EFG
Angles In Yoga Poses
Yoga is a method for bringing the body, and mind together. The Sanskrit word “yuj,” which means “to unite or integrate,” is the root of the word “yoga.” Yoga focuses on bringing the body, mind, and breath into harmony through a variety of pranayamas (breathing practices), yoga asanas (yoga postures) and meditation.
We must do yoga asanas on a carpet or yoga mat. Where do you practice yoga asanas? ______________
Question 25.
Here is a picture of a yoga mat.

(a) What is its shape?
_______________________________________________
Answer:
Rectengular
(b) What do you think about its corners? What does each one look like?
_______________________________________________
Answer:
Square corners
Question 26.
Look at the different yoga poses shown below. An angle Is marked in each of the poses. Can you mark other angles? If yes, write how many angles there are.

![]()
Question 27.
How many square corners do the following figures have? Mark and count them.

Answer:

Question 28.
Mark the angles you observe in the following objects.

Types of Angles
Let’s make a “right-angle tester” and use it to find right angles.

Fold a rectangular piece of paper into two. Then fold it into two again to make a right angle.
Look around the room and the school for places with right angles.
Acute angles are Less than a right angle Obtuse angles are more than a right angle.

Real-world examples of angles

Question 29.
Look the hands of the clocks given below and identify which type of angles shown in each case.

Answer:
(a) Obtuse angle
(b) acute angle
(c) right angle
Question 30.
How many right angles do you see in the given figures?

Answer:
(a) 12
(b) 8
Question 31.
In the following figures, find how many acute and obtuse angles there are.

Answer:
(a) 2 acute, and 2 obtuse angels
(b) 5 obtuse angles
(c) 4 acute, and 2 obtuse angles
(d) 6 acute angles
Question 32.
Draw a Line to make a right angle with the given line in the grid.

Think and Answer
Raj ordered a pizza which had 8 slices. He observed that each slice has an angle at the pointed corner.
1. Which type of angle is it?
2. Which types of angles will you get when you join:
(a) two pieces together
(b) three pieces together?
Answer:
1. Acute angle
2. (a) right angle
(b) obtuse angle
Question 33.
In the dancing poses shown below, mark the acute angles in red, right angles in green, and obtuse angles in blue.

Closed and Open Shapes
Question 34.
Write whether the given shapes are closed or open.

Answer:
(a) Open
(b) Closed
(c) Closed
(d) Open
Question 35.
Count the number of angles. One is done for you.

(a) Classify these shapes based on the number of angles.

(b) Classify these shapes into two groups based on their angles. Also, draw one more new shape to fit into the group.

Answer:
B-5, C – 4, D – 5, E – 5, F – 6, G – 6, H – 5, I – 4, J – 3, K – 7, L – 3, M -4

![]()
Question 36.
On the given dotted sheet, draw a 2D shape which has:
(a) less than 6 angles
(b) more than 6 angles

Question 37.
Draw a figure with Less than. 3 angles. Is it an open or a dosed figure?
Answer:
A figure with less than 3 angle will be an open figure.
Question 38.
The figure drawn here has 1 right angle, 1 acute angle, and 3 obtuse angles.

On the same grid, draw a figure that has:
(a) 2 right angles, 1 acute angle and 2 obtuse angles
(b) 2 right angles, 2 acute angles and 2 obtuse angles
(c) 3 right angles, 2 acute angles and 1 obtuse angle
(d) 2 right angles, 3 acute angles and 2 obtuse angles
Activity
Take a 7-piece tangram and make different types of polygons using its pieces. Then, count the number of right angles, acute angles, and obtuse angles in the shape so formed.
For example, a hexagon (6-sided polygon) is shown here. It has 4 obtuse angles and 2 right angles.

Shapes with Straws
Question 39.
Anaya was completing her assignment making plane shapes, such as a triangle, a rectangle, and a square, by using straws and clay. Suddenly, her younger brother Rohan came and pushed a side of the triangle.

(a) Does the shape of the triangle change?
Yes or No ______________
Answer:
No
(b) If by mistake, he pushed from a corner of the rectangle, then what change would you observe.in
_______________________________________________
Answer:
The shape will be distorted.
(c) Are the corners of new shape still square corners?
_______________________________________________
Answer:
No
(d) What would happen if he pushed the side of a square? Will the new shape be a rectangle?
_______________________________________________
Answer:
The pair of opposite sides will be equal but its right angles will change into acute and obtuse angles.
(e) How is a rectangle different from a square?
_______________________________________________
Answer:
A rectangle has only opposite sides of equal length while a square has all sides of equal length.
Question 40.
Use a square dot grid to draw 2 triangles, 2 squares, and 2 rectangles of different sizes.

Question 41.
Use a square dot grid to draw any three 4-sided shapes except a rectangle and a square.

Can you recognise the name of these 4-sided shapes? With the help of your parents or teacher, write their names.
_______________________________________________
_______________________________________________
_______________________________________________
_______________________________________________
Question 42.
How are the rectangle and square different from the shapes you drew in Q. 41?
_______________________________________________
_______________________________________________
_______________________________________________
_______________________________________________
Amazing Circles
Question 43.
Take a fixed point ‘O’ in the given space and mark points as many as you can around the fixed point at a distance of 3 cm from the fixed point. Join these points with a free hand to draw a circle.
(a) What do we call the fixed point in the circle?
_______________________________________________
_______________________________________________
Answer:
Centre of the circle
(b) If you join the fixed point (centre of the circle) to any point on the boundary with a line, then what do we call this line?
_______________________________________________
_______________________________________________
Answer:
Radius
(c) If you extend the same above line on either side of the centre ‘O’ and join to another point on the boundary of the circle, then what do we call this line now?
_______________________________________________
_______________________________________________
Answer:
Diameter
(d) Identify the relation between the radius and the diameter of a circle.
_______________________________________________
_______________________________________________
Answer:
Diameter is twice the radius or radius is half of the diameter.
(e) Complete this statement.
The diameter of a circle = 2 × ______________ of the circle.
Answer:
Radius
Question 44.
Find the radius of the circle if its diameter is:
(a) 8 cm
(b) 12 cm
(c) 16 cm
Answer:
(a) 4 cm
(b) 6 cm
(c) 8 cm
![]()
Question 45.
Find the diameter of the circles if its radius is:
(a) 3 cm
(b) 7 cm
(c) 9 cm
Answer:
(a) 6 cm
(b) 14 cm
(c) 18 cm
Puzzling Shapes
Question 46.
Find the hidden shapes in the given picture. Also, write their numbers.

_______________________________________________
_______________________________________________
_______________________________________________
Answer:
5 circles, 2 squares, 3 rectangles, 3 triangles, 1 cuboid and 1 cone.
Question 47.
Do as directed.
(a) Draw 2 lines to divide the triangle into 1 square and 2 triangles.

Answer:

(b) Draw 3 lines to divide the rectangle into 1 square, 1 rectangle and 2 triangles.

Answer:

Question 48.
Draw Lines to show the cuts needed to get the smatter shapes on the right.

Answer:

Question 49.
Antea, an ant has made a race track in the Jorm of basic geometric shapes on the ground. She marks a point A on the ground and begins to make triangular shapes that are crossing to each other along the racing track. Antea and her younger sister, Grasia start the race from point A. At the end of the race, both of them must reach back at point A. The one who reaches back to A first will win the race.

How can they reach back to the same point without running on any path more than once?
Trace and show the path of the race.

Answer:

Question 50.
(a) How many rectangles are there in this shape?

(b) How many squares are there in this shape?

Answer:
(a) 26
(b) 8
Activity
Take some matchsticks and make 5 squares as shown below.
Move 3 matchsticks to make: (a) 4 squares (b) 6 squares.

The post Shapes Around Us Class 4 Worksheet with Answers Maths Chapter 1 appeared first on Learn CBSE.
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