Class 9 Mathematics Chapter 5: I’m Up and Down, and Round and Round — practice questions with answers
Free practice for Class 9 Mathematics, Chapter 5: I’m Up and Down, and Round and Round. Try the solved questions below, then take a free test with instant marking and explanations.
55 questions19 easy, 24 medium, 12 hardNCERT · CBSE · State boards
Sample questions with solutions
Q1. How is a circle defined?
- The set of all points in a plane at a fixed distance from a given point
- A shape with no corners
- The longest chord
- A polygon with many sides
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Answer: A. The set of all points in a plane at a fixed distance from a given point
Why: The fixed point is the centre; the distance is the radius. [p.93, p.116]
Why: The fixed point is the centre; the distance is the radius. [p.93, p.116]
Q2. Which lines are lines of reflection symmetry of a circle?
- Every diameter
- Only the horizontal diameter
- Every chord
- No line
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Answer: A. Every diameter
Why: Folding along a diameter makes the halves overlap. [p.94]
Why: Folding along a diameter makes the halves overlap. [p.94]
Q3. What is the length of the longest chord in a circle of radius 5 units?
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Answer: 10 (± 0)
Why: The longest chord is the diameter = 2 × 5. [p.94]
Why: The longest chord is the diameter = 2 × 5. [p.94]
Q4. How many circles pass through two given points?
- Infinitely many
- Exactly one
- Exactly two
- None
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Answer: A. Infinitely many
Why: Any point on the perpendicular bisector can be a centre. [p.95, p.117]
Why: Any point on the perpendicular bisector can be a centre. [p.95, p.117]
Q5. Two chords subtend equal angles at the centre. What can you conclude?
- The chords are equal in length
- The chords are parallel
- The chords are diameters
- Nothing
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Answer: A. The chords are equal in length
Why: Theorem 3, using SAS. [p.100]
Why: Theorem 3, using SAS. [p.100]
Q6. The line joining the centre of a circle to the midpoint of a chord is ______ to the chord.
- perpendicular
- parallel
- equal
- tangent
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Answer: A. perpendicular
Why: Theorem 4. [p.101]
Why: Theorem 4. [p.101]
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Frequently asked questions
How many practice questions are there for Class 9 Mathematics Chapter 5: I’m Up and Down, and Round and Round?
55 questions (19 easy, 24 medium, 12 hard). A few are solved on this page; the free test shows the answer and explanation for every question after you submit.
Is this chapter from the NCERT book?
Yes — it follows the NCERT Class 9 Mathematics syllabus, used by CBSE and many state boards.