Kit Library / Mathematics / Algebra and Geometry

⚡ Topic Learning Kit

Class IX Maths SA-1: Number Systems, Polynomials, Coordinate Geometry, Linear Equations & Lines and Angles

English 20 leveled MCQs 60 flashcards 9 games Free

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⚡ Veda Bites

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Veda Bites are swipeable micro-lessons — each one teaches exactly one idea. Here's a taste from this kit; the app has the full deck.

💡 Key Idea

Rational vs Irrational: The Decimal Test

Decimals reveal a number's true identity.

Every real number is either rational or irrational — and the decimal expansion tells you which.

↳ If the decimal neither terminates nor repeats, the number is irrational — no exceptions.

📖 Definition

What Is a Rational Number?

Ratio of two integers — that's the whole story.

↳ The denominator q must never be zero — that single condition defines the set.

⭐ Important Fact

Infinitely Many Rationals Between Any Two

Squeeze a rational — there's always room.

Between any two rational numbers, there are infinitely many rational numbers — not just one.

↳ Density of rationals: no 'next' rational exists after any given one.

📖 Smart notes

What you'll study, topic by topic

1

Class IX Maths SA-1: Number Systems, Polynomials, Coordinate Geometry, Linear Equations & Lines and Angles

This SA-1 syllabus covers five core Class IX Maths units: number systems (rational vs irrational, decimal expansions, surds), polynomials (degree, zeros, factorisation, identities), coordinate geometry (quadrants, plotti…

  • A rational number can be written as $\frac{p}{q}$ where $p, q$ are integers and $q \ne 0$.
  • Irrational numbers have non-terminating, non-repeating decimal expansions.
  • $1.101001000100001\ldots$ is irrational because the pattern never repeats.

~20 min · full explanation, examples & memory tricks in the app

❓ Leveled MCQ practice

Try the smart MCQs from this kit

20 questions laddered from warm-up to topper-level, each with an explanation. A taste:

Which of the following is an example of an irrational number?

Beginner
A $\frac{3}{4}$ B $1.101001000\ldots$ C $0.75$ D $0.\overline{6}$
Show answer & explanation

$1.101001000\ldots$

$1.101001000\ldots$ is non-terminating and non-repeating, so it is irrational. The others are terminating or repeating decimals, hence rational.

How many rational numbers lie between $\frac{1}{5}$ and $\frac{2}{5}$?

Beginner
A Exactly two B Infinitely many C Exactly one D None
Show answer & explanation

Infinitely many

Between any two rational numbers there are infinitely many rational numbers.

What is the coefficient of $x$ in $9x^2 + 4x - 6$?

Beginner
A $2$ B $6$ C $9$ D $4$
Show answer & explanation

$4$

The coefficient of $x$ is the number multiplying $x$, which is $4$.

Which of the following is a quadratic polynomial?

Beginner
A $ax^2 + bx + c$ B $ax^{-2} + bx + c$ C $ax^3 + bx^2 + cx + d$ D $ax + b$
Show answer & explanation

$ax^2 + bx + c$

A quadratic polynomial has degree $2$, so its standard form is $ax^2 + bx + c$.

🃏 Flashcards

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60 flashcards in this kit — the app reviews them with spaced repetition so the right card returns on the right day.

🎮 Learning games

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Word Match True False Memory Match Flashcard Battle Speed Quiz Guess Term Sequence Builder Categorization Revision Battle Playable in the app

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