CLASS 5 MATHS WORKSHEET lesson 3

Mathematics Worksheet: Angles as Turns

This worksheet covers the topic "Angles as Turns" aligned with the NCERT syllabus for Foundation and Preparatory stages. Attempt each question before clicking “Show Answer”. The detailed solution is available under “Show Solution”.

Easy Questions (40%)

• What fraction of a full turn is a half turn?
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  Answer: \(\frac{1}{2}\)

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  Solution: A half turn means rotating halfway around a circle, which is \(\frac{1}{2}\) of a full turn.
• How many quarter turns make a full turn?
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  Answer: 4 quarter turns

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  Solution: Four quarter turns each equal to \(\frac{1}{4}\) add up to 1 full turn.
• If a person makes two half turns in the same direction, how much turn is completed?
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  Answer: 1 full turn

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  Solution: Two half turns (\(\frac{1}{2} + \frac{1}{2}\)) make a whole turn.
• Identify the angle equivalent to a quarter turn.
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  Answer: Right angle (90 degrees)

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  Solution: One quarter of the full 360° circle is 90° which is called a right angle.

Average Questions (40%)

• How many degrees does the minute hand of a clock turn in 15 minutes?
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  Answer: 90 degrees

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  Solution: In 60 minutes, the minute hand completes 360°. So in 15 minutes, it turns \(\frac{15}{60} \times 360 = 90\) degrees.
• Name two objects from daily life that involve a full turn.
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  Answer: Fan blades, bicycle wheel

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  Solution: Both fan blades and bicycle wheels rotate to complete full turns.
• If an arrow makes a half turn clockwise from north, which direction does it face now?
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  Answer: South

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  Solution: Half turn (180°) clockwise from north points south.
• What turn is formed if you rotate by two quarter turns anti-clockwise?
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  Answer: Half turn

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  Solution: Two quarter turns each \(\frac{1}{4}\) add to \(\frac{2}{4} = \frac{1}{2}\), a half turn.

Challenging Questions (20%)

• A minute hand moves from 12 to 6. What fraction of a full turn is this and how many degrees?
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  Answer: Half turn; 180 degrees

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  Solution: The minute hand moves half way around (180°), representing \(\frac{1}{2}\) of a full turn.
• Draw and label a shape with 2 right angles, 2 obtuse angles, and 1 acute angle.
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  Answer: A pentagon with 2 right, 2 obtuse, and 1 acute angle

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  Solution: Construct by joining lines carefully to incorporate the specified angles.
• Measure the angles formed by the legs of gymnasts and identify whether they are acute, right, obtuse, or straight.
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  Answer: Varies — acute, right, obtuse, or straight angles

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  Solution: Use an angle measuring tool and classify angles by degree.
• An arrow first makes a quarter turn clockwise and then a half turn anti-clockwise. What is the net turn in terms of fraction and degrees?
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  Answer: A quarter turn anti-clockwise; 90 degrees

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  Solution: Quarter turn clockwise (\(\frac{1}{4}\)) followed by half turn anti-clockwise (\(\frac{1}{2}\)) results in \(\frac{1}{2} - \frac{1}{4} = \frac{1}{4}\) turn anti-clockwise, or 90°.