Class 9 Mathematics — Chapter 1: Orienting Yourself: The Use of Coordinates
90 practice questions · 30 Easy · 30 Medium · 30 Hard
Practise Class 9 Mathematics Chapter 1, "Orienting Yourself: The Use of Coordinates", 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.
"Orienting Yourself: The Use of Coordinates" 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 Orienting Yourself: The Use of Coordinates, 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: Orienting Yourself: The Use of Coordinates (Class 9 Mathematics)
This chapter extends numbers from rationals to the full real number line, distinguishes rational from irrational numbers by their decimal expansions, and uses exponent laws and rationalisation to simplify surds.
- Rational numbers
- Numbers of the form p/q with q ≠ 0. Their decimal expansion is either terminating or non-terminating but recurring (repeating).
- Irrational numbers
- Numbers that cannot be written as p/q. Their decimal expansion is non-terminating and non-recurring. Examples: √2, √3, π.
- Real numbers
- Rationals together with irrationals. Every real number corresponds to a unique point on the number line and vice versa.
- Locating roots on the number line
- Surds like √2, √3 are constructed using right triangles (Pythagoras) and the successive-magnification method visualises decimals.
- Laws of exponents & rationalisation
- Exponent laws hold for real bases; an irrational denominator is rationalised by multiplying by a suitable factor (the conjugate for a + √b).
Key formulas — Orienting Yourself: The Use of Coordinates
💡 Exam tips for Orienting Yourself: The Use of Coordinates
- A non-terminating, non-recurring decimal is always irrational — recurring decimals are rational.
- To rationalise a + √b in the denominator, multiply numerator and denominator by its conjugate a − √b.
Sample questions
In which quadrant does the point (-4, 2) lie?
x is negative and y is positive, so (-4, 2) lies in Quadrant II.
Find the distance between the points (-3, -1) and (7, 23).
Distance = √((7--3)²+(23--1)²) = √(10²+24²) = √676 = 26 units.
Classify the triangle with vertices (0, 0), (4, 0) and (0, 3) by its sides.
Side lengths 4.0, 5.0, 3.0 are all different → scalene.
Orienting Yourself: The Use of Coordinates — FAQs
What are the key concepts in Class 9 Mathematics Orienting Yourself: The Use of Coordinates?+
This chapter extends numbers from rationals to the full real number line, distinguishes rational from irrational numbers by their decimal expansions, and uses exponent laws and rationalisation to simplify surds. Key ideas include Rational numbers, Irrational numbers, Real numbers, Locating roots on the number line, Laws of exponents & rationalisation.
What does Class 9 Mathematics Chapter 1 (Orienting Yourself: The Use of Coordinates) cover on XamBaaz?+
It covers 90 NCERT-aligned MCQs on "Orienting Yourself: The Use of Coordinates" — 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 "Orienting Yourself: The Use of Coordinates" questions free to practise?+
Yes — sign in with Google to practise "Orienting Yourself: The Use of Coordinates" free. Full unlimited access is ₹999/year (limited-time launch price), with no per-chapter charges.
How should I revise "Orienting Yourself: The Use of Coordinates" 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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