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Worksheet: Angles as Turns | Mathematics (Maths Mela) Class 5 - New NCERT PDF Download

Q1: A full turn is equal to how many degrees?
​(a) 90°
(b) 180°
(c) 270°
(d) 360°

Q2: Two half turns in the same direction are equal to:
(a) A quarter turn
(b) A full turn
(c) Three-quarter turn
(d) No turn

Q3: How many quarter turns make a full turn?
(a) 2
(b) 3
(c) 4
(d) 6

Q4: How many degrees are in one quarter turn?
(a) 45°
(b) 60°
(c) 90°
(d) 120°

Q5: A reflex angle is always:
(a) 
Less than 90°
(b) Between 90° and 180°
(c) Between 180° and 360°
(d) Equal to 90°

Q6: For each arrow turn, guess the size in degrees and state the type. 

(a) 1 quarter turn clockwise → ______ ° → type: __________

(b) 3 quarter turns anti‑clockwise → ______ ° → type: __________

(c) 1/2 of a full turn → ______ ° → type: __________

(d) 2/3 of a full turn  → ______ ° → type: __________

Q7: A robot starts facing East. It makes the following sequence of turns:

  • 1 quarter turn clockwise,

  • 1 half turn anti‑clockwise,

  • 3 quarter turns clockwise.

(a) What direction is it facing now? __________
(b) What is the net turn (in degrees) relative to the start? __________°

Q8: Identify the type of angles given below: 

Worksheet: Angles as Turns | Mathematics (Maths Mela) Class 5 - New NCERT

Q9. Draw angles with the following degree measures:

a. 60°

b. 45°

c. 180°

Q10: Draw the following angles:

(a) a right angle and label it as ∠ABC.

(b) an acute angle and label it as ∠XYZ.

(c) a straight angle and label it as ∠PQR.

You can access the solutions to this worksheet here.

The document Worksheet: Angles as Turns | Mathematics (Maths Mela) Class 5 - New NCERT is a part of the Class 5 Course Mathematics (Maths Mela) Class 5 - New NCERT.
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FAQs on Worksheet: Angles as Turns - Mathematics (Maths Mela) Class 5 - New NCERT

1. What are angles and how are they measured in degrees?
Ans.An angle is formed when two rays meet at a common endpoint, known as the vertex. Angles are measured in degrees, which is a unit that represents a fraction of a full rotation. A complete circle has 360 degrees. Angles can be classified based on their measures: acute angles (less than 90°), right angles (exactly 90°), obtuse angles (between 90° and 180°), straight angles (exactly 180°), and reflex angles (greater than 180° but less than 360°).
2. How do we convert angles measured in degrees to turns?
Ans.An angle in degrees can be converted to turns by using the relationship that 1 full turn is equal to 360 degrees. To convert degrees to turns, divide the number of degrees by 360. For example, an angle of 180 degrees is equivalent to 180/360 = 0.5 turns, meaning it represents a half turn.
3. What is the significance of understanding angles as turns in real-life applications?
Ans.Understanding angles as turns is important in various real-life applications, such as in sports, engineering, and navigation. For example, in sports like gymnastics or diving, athletes must understand angles to execute proper rotations. In engineering, angles are crucial for designing structures that can withstand forces. In navigation, knowing how to measure turns helps in determining directions and bearings.
4. Can you explain the relationship between turns and radians?
Ans.Turns and radians are both measures of angles. One complete turn is equal to 2π radians. To convert turns to radians, multiply the number of turns by 2π. For example, 1 turn is equal to 2π radians, and 0.5 turns is equal to π radians. This relationship is particularly useful in mathematics and physics for calculations involving circular motion.
5. What tools can be used to measure angles accurately?
Ans.Angles can be measured accurately using various tools. The most common tool is a protractor, which is a semi-circular or circular device marked with degrees. For more precise measurements, especially in engineering, digital angle finders or theodolites can be used. Additionally, in construction and carpentry, tools like framing squares and angle gauges help ensure accurate angles are achieved in projects.
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