Class 5 Maths Chapter 2 Summary Notes PDF Download
Class 5 Maths Chapter 2, "Shapes and Angles," covers geometric shapes and their properties. You'll learn to identify and describe different shapes like triangles, squares, and circles, and understand angles in each shape.
Table of Content
The chapter aligns with the CBSE Class 5 Maths Syllabus, focusing on recognizing shapes and measuring angles. These notes simplify these concepts, helping you prepare effectively for exams. While Class 5 Maths Revision Notes provides a clear and detailed explanation of maths topics to help you with exams efficiently.
Closed-Sided Figure
A closed-form is an enclosed shape or figure whose line segments and/or curves are linked or meet in geometry.
Image: Closed-Sided Figure
Open-Sided Figure:
An open shape is a shape or figure whose line segments and/or curves do not intersect in geometry.
They do not begin and terminate at the same location.
Image: Open-Sided Figure
Polygons
In geometry, a polygon is any closed curve made up of a series of line segments (sides).
Triangles (three sides), quadrilaterals (four sides), and pentagons(five sides) are the simplest polygons.
Shapes and Their Properties
Circle:
A circle is a round-shaped figure that has no corners or edges, it is a closed, two-dimensional curved shape.
The angles in a circle sum to 360 degrees. A circle can be divided into smaller sections. The arc of a circle is a section that is named according to its angle.
Triangle:
A triangle is a closed, two-dimensional form with three straight sides in geometry.
The sum of angles of a triangle is 180 degrees.
Quadrilateral:
A quadrilateral is a two-dimensional shape with four sides. All of the following 2D shapes are quadrilaterals: square, rectangle, and so on.
The sum of angles of a quadrilateral is 360 degrees.
Pentagon:
A pentagon is a five-sided geometric form with five angles.
The sum of angles of a pentagon is 540 degrees.
Hexagon:
A hexagon is a six-sided geometric form with six angles.
The sum of angles of a hexagon is 720 degrees.
Heptagon:
A heptagon is a seven-sided geometric form with seven angles.
The sum of angles of a heptagon is 900 degrees.
Octagon:
An octagon is an eight-sided geometric form with eight angles.
The sum of angles of an octagon is 1080 degrees.
Nonagon:
A nonagon is a nine-sided geometric form with nine angles.
The sum of angles of a nonagon is 1260 degrees.
Decagon:
A decagon is a ten-sided geometric form with ten angles.
The sum of angles of a decagon is 1440 degrees.
Solved Examples of Shapes and their Properties
1. Select True or False:
All cuboids can be considered a cube.
All cubes can be considered a cuboid.
Edges are absent in spherical shapes.
Answer:
False
True
True
Types of Angles
Image: Types of Angles
Acute Angle: An acute angle is smaller than 90 degrees.
Right Angle: A right angle is equal to 90 degrees.
Obtuse Angle: An acute angle is greater than 90 degrees.
Reflex Angle: A reflex angle is greater than 180 degrees.
Straight Angle: A straight angle is equal to 180 degrees.
Complete Angle: A complete angle is equal to 360 degrees.
Measuring Angles
An angle measure in geometry is the measurement of the angle created by two rays or arms at a shared vertex.
Angles are measured using a simple geometric instrument such as a protractor. A protractor is more commonly used than a compass.
The sign '°' represents a degree. A circle spins 360°, and a degree is part of that rotation since it is split into 360 equal pieces. Angles with varying degrees include 30°, 45°, 90°, and so on. And is written as 30 degrees, 45 degrees, 90 degrees, and so on.
Angles Made by Clock at Different Time
Image: Types of Angles made by a clock
On a clock, we may see various angles based on their amplitude: acute, straight, obtuse, flat angles, and even complete angles.
The full circumference of the clock is 360°. The distance between each number on the clock is similar to 30° (360/12) since the clock is divided into 12 pieces.
For example, the angle created between 1 o’clock and 2 o’clock is 30°.
Solved Example on Clocks and Angles
What is the angle made by the hour and the minute hands in the following images given below:
A.
Answer: Angle made between 2 numbers in a clock= 30 degrees
Numbers between 8 and 1= 5
Therefore, total angle made is = 30×5 = 150 degrees
B.
Answer: Angle made between 2 numbers in a clock= 30 degrees
Numbers between 2 and 3= 1
Therefore, total angle made is = 30×1 = 30 degrees
C.
Answer: Angle made between 2 numbers in a clock= 30 degrees
Numbers between 7 and 12= 5
Therefore, total angle made is = 30×5 = 150 degrees
D.
Answer: Since the minute hand is just above the hour hand, that is from where it started therefore, the total angle covered is 360 degrees.
Practice Problems
1. Guess the angles in the following objects given below:
A.
20 degrees
45 degrees
80 degrees
180 degrees
B.
100 degrees
360 degrees
80 degrees
180 degrees
Ans:
A) ii) 45 degrees
B) iv) 180 degrees
2. Fill in the blanks:
i) A pentagon has _______ sides.
ii) A circle has ________ sides.
iii) A square has _________ sides.
iv) An octagon has __________ sides.
Ans:
5
0
4
8
Practicing Maths Shapes and Angles Worksheets
Download the revision notes and worksheets compiled by Vedantu experts and find out how to solve the problems efficiently. Learn how the angles are measured in a geometric shape and clear your doubts on the sums of this chapter on your own. Download the free PDF and use them accordingly to score well in the exams.
5 Important Topics of Class 5 Maths Chapter 2 Shapes and Angles
Importance of Maths Chapter 2 Shapes and Angles Class 5 Notes
Revision notes help us quickly understand and remember key concepts before exams.
They save time by focusing on essential information and skipping unnecessary details.
These notes simplify complex topics, making them easier to understand and use.
They provide practical examples that show how theoretical knowledge is used in real-life situations.
They increase confidence by clearly understanding what to expect in exams.
The class 5 notes of Chapter 2 Shapes and Angles cover fundamental concepts of shapes and angles.
Tips for Learning the Class 5 Maths Chapter 2 Shapes and Angles
Learn to draw different shapes like triangles, squares, and circles to understand their properties better.
Learn how to use a protractor to measure angles. It’s a fun tool that helps you see how big or small an angle is!
Learn to find shapes and angles in your surroundings—like windows, doors, and books—to see how they are used in real life.
Relate to real-world examples like surroundings to see their shapes and improve your understanding.
Conclusion
These notes on Class 5 Maths Chapter 2, "Shapes and Angles," cover the important ideas you need to know. You’ve learned about different shapes like triangles and squares, how to measure angles, and how shapes can be symmetrical. Revisiting these notes and practising these concepts will help you understand how shapes and angles work and make it easier to solve problems. Keep practising and looking for shapes and angles around you to become even better at geometry!
Related Study Materials for Class 5 Maths Chapter 2 Shapes and Angles
hapter-wise Revision Notes Links for Class 5 Maths
Important Study Materials for Class 5 Maths
FAQs on Shapes and Angles Class 5 Maths Chapter 2 CBSE Notes - 2025-26
1. What are the key concepts to summarise for a quick revision of Class 5 Maths Chapter 2, Shapes and Angles?
For a quick revision of this chapter, focus on these core concepts:
- The difference between open and closed shapes.
- Identifying the number of sides and corners (vertices) in polygons like triangles and squares.
- Understanding the three main types of angles: acute, right, and obtuse.
- Using a right angle as a benchmark to compare and classify other angles.
2. What is the basic difference between an open shape and a closed shape?
A closed shape is a figure whose starting and ending points are the same, forming a complete boundary with no gaps (e.g., a circle or a triangle). An open shape is a figure that does not have a complete boundary, meaning its starting and ending points are different (e.g., the letter 'U' or 'M').
3. How are the three main types of angles defined for a quick recap?
The three main types of angles are defined by comparing them to a right angle:
- Right Angle: An angle that measures exactly 90 degrees, like the corner of a book.
- Acute Angle: An angle that is smaller than a right angle (less than 90 degrees).
- Obtuse Angle: An angle that is larger than a right angle (more than 90 degrees).
4. How can we identify shapes based on their sides and angles?
You can identify shapes by counting their sides and observing their angles. For example, a triangle always has three sides and three angles. A square has four equal sides and four right angles. A pentagon has five sides and five angles. This summary helps in quickly differentiating between various polygons.
5. Why is a right angle so important when learning about shapes and angles?
A right angle (90°) is important because it acts as a standard reference point. It's a common angle found in everyday objects like doors, windows, and books, making it easy to recognise. By comparing any given angle to a right angle, you can quickly determine if it is acute (smaller) or obtuse (larger) without needing a tool for every measurement.
6. How can the hands of a clock be used to understand the concept of angles?
The hands of a clock are a perfect real-world example to revise angles. At 3:00, the hands form a right angle. At 2:00, they form an acute angle. At 4:00, they form an obtuse angle. Watching the hands move helps to visualise how the amount of turn between two lines creates different types of angles.
7. If you make the arms of an angle longer, does the measurement of the angle change?
No, the measurement of an angle does not change if you make its arms longer or shorter. The size of an angle depends only on the amount of opening or turn between the arms at the vertex. The length of the arms is irrelevant to the angle's measure, which is a crucial concept to avoid misconceptions during revision.
8. What is the key difference to remember between a square and a rectangle?
The key difference to summarise is related to their sides. While both shapes have four sides and four right angles, a square has all four sides of equal length. In a rectangle, only the opposite sides are equal in length.
