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

Q1: A robot is facing North. It makes one quarter turn clockwise. Which direction is it facing now?
Solution:

  • Starting direction = North

  • Quarter turn clockwise = 90°

  • Clockwise from North → East
    Answer: East

Q2: A robot is facing East. It makes a half turn anti-clockwise. Which direction is it facing now?
Solution:

  • Starting direction = East

  • Half turn anti-clockwise = 180°

  • Anti-clockwise from East → West
    Answer: West

Q3: A child is facing South. He makes two quarter turns clockwise. Which direction is he facing now?
Solution:

  • Starting direction = South

  • Two quarter turns clockwise = 2 × 90° = 180°

  • 180° clockwise from South → North
    Answer: North

Q4: A car is facing West. It makes a full turn clockwise. Which direction is it facing now?
Solution:

  • Starting direction = West

  • Full turn = 360°

  • After a full turn, the direction remains unchanged
    Answer: West

Q5: A robot starts facing North. It makes three quarter turns clockwise. Which direction is it facing now?
Solution:

  • Starting direction = North

  • Three quarter turns clockwise = 3 × 90° = 270°

  • North → East → South → West
    Answer: West

Q6: A girl is facing East. She turns half turn clockwise and then one quarter turn anti-clockwise. Which direction is she facing now?
Solution:

  • Starting direction = East

  • Half turn clockwise = 180° → East → West

  • Quarter turn anti-clockwise = 90° → West → South
    Answer: South

Q7: A wind vane points North. It rotates one quarter turn anti-clockwise, then two quarter turns clockwise. Which direction does it point now?
Solution:

  • Starting direction = North

  • Quarter turn anti-clockwise = North → West

  • Two quarter turns clockwise = 2 × 90° = 180° → West → East
    Answer: East

Q8: A robot makes half of a full turn clockwise and then one quarter of a full turn anti-clockwise. How many degrees has it turned in total, and in which direction?
Solution:

  • Half turn clockwise = 180° clockwise

  • Quarter turn anti-clockwise = 90° anti-clockwise

  • Net turn = 180° – 90° = 90° clockwise
    Answer: 90° clockwise

Q9: A boy is facing South. He makes two half turns clockwise. Which direction is he facing now?
Solution:

  • Two half turns = 2 × 180° = 360°

  • A full 360° turn brings him back to the same direction
    Answer: South

Q10: A robot is facing East. It turns one quarter of a full turn clockwise, then half of a full turn clockwise. Which direction is it facing now?
Solution:

  • Quarter turn clockwise = 90° → East → South

  • Half turn clockwise = 180° → South → North
    Answer: North

The document Word Problems: 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 Word Problems: Angles as Turns - Mathematics (Maths Mela) Class 5 - New NCERT

1. What are angles and how are they measured in terms of turns?
Ans.Angles are formed when two lines meet at a point, called the vertex. They are measured in degrees, where a complete turn makes an angle of 360 degrees. For example, a quarter turn is 90 degrees, half a turn is 180 degrees, and three-quarters of a turn is 270 degrees.
2. How can I convert degrees into turns?
Ans.To convert degrees into turns, you divide the number of degrees by 360. For instance, if you have an angle of 180 degrees, you would calculate 180 ÷ 360, which equals 0.5 turns, indicating a half turn.
3. What is the importance of understanding angles as turns in daily life?
Ans.Understanding angles as turns is important in various aspects of daily life, such as navigation, sports, and construction. For example, when steering a vehicle or playing games like basketball, knowing how to measure and visualize angles helps in making precise movements and decisions.
4. Can you provide examples of situations where different turns are used?
Ans.Examples of different turns include a full rotation of a Ferris wheel, which is 1 turn (360 degrees), a 90-degree turn when navigating a corner while walking, and a 270-degree turn when a dancer spins three-quarters around before stopping. These situations illustrate how angles as turns apply to real-life scenarios.
5. How do you calculate the angle formed when making multiple turns?
Ans.To calculate the angle formed after making multiple turns, you add the degrees together and then convert to turns if necessary. For example, if someone makes a 90-degree turn followed by a 180-degree turn, you would add 90 + 180 = 270 degrees, which is 0.75 turns (270 ÷ 360).
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