CBSE Class 5 Mathematics Angles And Circles Worksheet

Question 1. Observe the given figure. If O is the centre of the circle, how many chords are there in the given figure?
Answer: There are 4 chords in the given figure.
In simple words: A chord is a line segment whose endpoints both lie on the circle. The four chords shown are AB, BC, CD, and DA.
Exam Tip: Remember that a diameter is also the longest chord of a circle, passing through the centre.

Question 2. Identify the following figures:
Answer:
Figure 1: Line AB
Denoted by: \(\overleftrightarrow{AB}\)
Figure 2: Ray OX
Denoted by: \(\overrightarrow{OX}\)
In simple words: A line extends infinitely in both directions, while a ray has one starting point and extends infinitely in one direction.
Exam Tip: Pay close attention to the arrows on top of the letters when denoting lines, rays, and line segments.

Question 3. Observe the given figure. \(\angle COB\) represents
(a) right angle
(b) obtuse angle
(c) acute angle
(d) straight angle
Answer: (c) acute angle
An acute angle is an angle measuring less than \(90^\circ\). In the given figure, \(\angle COB\) is clearly less than a right angle.
In simple words: An acute angle is sharp and measures less than a right angle.
Exam Tip: Angles less than \(90^\circ\) are acute, exactly \(90^\circ\) are right angles, and greater than \(90^\circ\) but less than \(180^\circ\) are obtuse.

Question 4. Identify the following angles:
Answer:

In simple words: Angles are classified by their degree measurements into acute, right, obtuse, and straight categories.

Exam Tip: Memorize the key thresholds: \(90^\circ\) (Right), between \(0^\circ\) and \(90^\circ\) (Acute), between \(90^\circ\) and \(180^\circ\) (Obtuse), and \(180^\circ\) (Straight).

Question 5. The hands of a clock make an obtuse angle when the time is
(a) 12 o' clock
(b) 6 o' clock
(c) 8 o' clock
(d) 9 o' clock
Answer: (c) 8 o' clock
At 8 o'clock, the hour hand points at 8 and the minute hand points at 12. The angle formed between them measures \(120^\circ\), which is greater than \(90^\circ\) and less than \(180^\circ\), making it an obtuse angle.
In simple words: An obtuse angle is wider than a right angle. At 8 o'clock, the hands spread wider than a square corner.
Exam Tip: Each hour space on a clock represents \(30^\circ\) (\(360^\circ \div 12\)). At 8 o'clock, 4 hour spaces are covered, giving \(4 \times 30^\circ = 120^\circ\).

Please click the below link to access CBSE Class 5 Mathematics Worksheet- Angles and Circles