Class 9 Mathematics — Chapter 5: I'm Up and Down, and Round and Round
90 practice questions · 30 Easy · 30 Medium · 30 Hard
Practise Class 9 Mathematics Chapter 5, "I'm Up and Down, and Round and Round", with 90 NCERT-aligned multiple-choice questions. The set is split into 30 Easy, 30 Medium and 30 Hard questions, so you can warm up on the fundamentals and then push into the exam-level problems that separate top scorers in CBSE Board exams and the JEE & NEET foundation years.
"I'm Up and Down, and Round and Round" is one of the chapters where problem-solving speed, formula recall and step-by-step reasoning really pays off. Each MCQ on this chapter is timed and uses exam-grade marking (+2 correct, −1 wrong, 0 skipped), training the same accuracy-under-pressure that real papers demand. Every question carries a short explanation, so a wrong answer becomes a quick lesson rather than a dead end — the fastest way to close gaps before a test.
Use this chapter as targeted revision: attempt the Easy set first to confirm your basics on I'm Up and Down, and Round and Round, then move to Medium and Hard to test application and problem-solving. Your accuracy, streaks and XP save automatically, and the chapter feeds into your overall Class 9 Mathematics mastery score. A few sample questions are shown below; sign in free to practise all 90.
Key concepts: I'm Up and Down, and Round and Round (Class 9 Mathematics)
This chapter introduces geometry as a deductive system — undefined terms, axioms and postulates — and shows how Euclid built theorems logically from a few assumptions.
- Axioms and postulates
- Self-evident statements assumed true without proof. Euclid called the general ones 'axioms' (common notions) and the geometric ones 'postulates'.
- Euclid's definitions
- A point has no part; a line has length but no breadth; a line lies evenly with the points on itself.
- Euclid's five postulates
- Cover drawing a line between two points, extending a line, drawing a circle, all right angles being equal, and the parallel postulate.
- Common notions (axioms)
- e.g. things equal to the same thing are equal; if equals are added to equals, the wholes are equal; the whole is greater than the part.
- Theorem vs axiom
- A theorem is a statement proved using definitions, axioms, postulates and previously proved results, by logical reasoning.
💡 Exam tips for I'm Up and Down, and Round and Round
- Remember 'two distinct lines cannot have more than one point in common' — a frequently asked result.
- The 5th (parallel) postulate is the famous one; attempts to prove it led to non-Euclidean geometry.
Sample questions
The angle in a semicircle is:
An angle inscribed in a semicircle (subtended by the diameter) is a right angle, 90°.
O is the centre of a circle and A, B are on it with ∠AOB = 110°. If C is a point on the major arc AB, then ∠ACB is:
The angle at the circumference is half the central angle: ∠ACB = 110° ÷ 2 = 55°.
AB is a diameter of a circle and C is a point on it. The bisector of ∠ACB meets the circle again at D. Then ∠ABD equals:
∠ACB = 90° (semicircle) so its bisector gives ∠ACD = 45°; ∠ABD and ∠ACD subtend the same arc AD, so ∠ABD = 45°.
I'm Up and Down, and Round and Round — FAQs
What are the key concepts in Class 9 Mathematics I'm Up and Down, and Round and Round?+
This chapter introduces geometry as a deductive system — undefined terms, axioms and postulates — and shows how Euclid built theorems logically from a few assumptions. Key ideas include Axioms and postulates, Euclid's definitions, Euclid's five postulates, Common notions (axioms), Theorem vs axiom.
What does Class 9 Mathematics Chapter 5 (I'm Up and Down, and Round and Round) cover on XamBaaz?+
It covers 90 NCERT-aligned MCQs on "I'm Up and Down, and Round and Round" — 30 Easy, 30 Medium and 30 Hard — each with a timed quiz and an instant explanation, suitable for CBSE Board exams and the JEE & NEET foundation years.
Are these "I'm Up and Down, and Round and Round" questions free to practise?+
Yes — sign in with Google to practise "I'm Up and Down, and Round and Round" free. Full unlimited access is ₹999/year (limited-time launch price), with no per-chapter charges.
How should I revise "I'm Up and Down, and Round and Round" for the exam?+
Start with the Easy quiz to confirm your fundamentals, then attempt Medium and Hard for application-level practice. Review each explanation, retry the questions you miss, and track your accuracy on this chapter until it is consistently high.
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