Mathematics Class IX

8 Topics | 8 Quizzes

Irrational Numbers

Real Numbers and their Decimal Expressions

Representating Real Numbers on the Number Line

Operations on Real Numbers

Identities Related to Square Roots

Rationalizing the Denominator

Laws of Exponents for Real Numbers

Concept Checkers 1-Number Systems-Class IX

Concept Checkers 2-Number Systems-Class IX

Practice Questions 1-Number Systems-Class IX

Practice Questions 2-Number Systems-Class IX

Practice Questions 3-Number Systems-Class IX

Practice Questions 4 – Number Systems – Class IX

Olympiad Questions 1-Number Systems-Class IX

Olympiad Questions 2-Number systems-Class IX

6 Topics | 8 Quizzes

Polynomials in One Variable

Zeros of a Polynomial

Remainder Theorem

Factorization of Polynomials

Algebraic Identities

Practice Questions 5 – Polynomials – Class IX

Concept Checkers – Polynomials – Class IX

Practice Questions 1 – Polynomials – Class IX

Practice Questions 2 – Polynomials – Class IX

Practice Questions 3 – Polynomials – Class IX

Practice Questions 4 – Polynomials – Class IX

Olympiad Questions – Polynomials – Class IX

Olympiad Questions 2 – Polynomials – Class IX

Coordinate Geometry

3 Topics | 4 Quizzes

Quadrants of the Cartesian Plane

Coordinates of a Point

Concept Checkers – Coordinate Geometry – Class IX

Practice Questions – Coordinate geometry – Class IX

Olympiad Questions – Coordinate Geometry – Class IX

Olympiad Questions 2 – Coordinate Geometry – Class IX

Linear Equations in Two Variables

5 Topics | 7 Quizzes

Linear Equations

Solutions of a Linear Equation

Graph of a Linear Equation in Two Variables

Equations of Lines Parallel to x-axis and y-axis

Practice Questions 3 – Linear equation in two variables – Class IX

Practice Questions 4 – Linear equation in two variables – Class IX

Concept Checkers – Linear Equations in two variables – Class IX

Practice Questions 1 – Linear Equations in two variables – Class IX

Practice Questions 2 – Linear Equations in two variables – Class IX

Olympiad Questions – Linear Equations in two varaibles – Class IX

Olympiad Questions 2 – Linear Equation in two variables – Class IX

Introduction to Euclid’s Geometry

3 Topics | 4 Quizzes

Euclid’s Definitions, Axioms and Postulates

Equivalent Versions of Euclid’s Fifth Postulate

Concept Checkers – Introduction to Euclid’s Geometry – Class IX

Practice Questions – Introduction to Euclid’s geometry – Class IX

Olympiad Questions – Introduction to Euclid’s Geometry – Class IX

Olympiad Questions 2 – Introduction to Euclid’s geometry – Class IX

Lines and Angles

7 Topics | 6 Quizzes

Basic Terms and Definitions

Intersecting Lines and Non-Intersecting Lines

Parallel Lines and a Transversal

Lines Parallel to the same Line

Angle Sum Property of a Triangle

Concept Checkers – Lines and Angles – Class IX

Practice Questions 1 – Lines and Angles – Class IX

Practice Questions 2 – Lines and Angles – Class IX

Practice Questions 3 – Lines and angles – Class IX

Olympiad Questions – Lines and Angles – Class IX

Olympiad Questions 2 – Lines and angles – Class IX

5 Topics | 4 Quizzes

Congruence of Triangles

Criteria for Congruence of Triangles

Some Properties of a Triangle

Inequalities in a Triangle

Concept Checkers – Triangles – Class IX

Practice Questions – Triangles – Class IX

Olympiad Questions – Triangle – Class IX

Olympiad Questions 2-Triangles-Class IX

5 Topics | 5 Quizzes

Angle Sum Property of a Quadrilateral

Types of Quadrilateral

Properties of a Parallelogram

The Mid-Point Theorem

Concept Checkers – Quadrilaterals – Class IX

Concept Checkers2-Quadrilaterals-ClassIX

Practice Questions-Quadrilaterals-ClassIX

Olympiad Questions – Quadrilaterals – Class IX

Olympiad Questions 2-Quadrilaterals-Class IX

Areas of Parallelogram and Triangles

5 Topics | 4 Quizzes

Figure on the same Base and Between the same Parallels

Parallelograms on the same Base and Between the same Parallels

Triangles on the same Base and Between the same Parallels

Concept Checkers-Areas of Parallelograms and Triangles-ClassIX

Practice Questions- Areas of Parallelograms and Triangles-Class IX

Olympiad Questions – Areas of Parallelograms and Triangles – Class IX

Olympiad Questions 2-Areas of Parallelogram and Triangles-Class IX

5 Topics | 4 Quizzes

Terms related to circle

Angles Subtended by a Chord at a Point

Angle Subtended by an Arc of a Circle

Cyclic Quadrilaterals

Concept Checkers 2-Circles-Class IX

Olympiad Questions 2-Circles-Class IX

Practice Questions-Circle-Class IX

Olympiad Questions-Circles-Class IX

4 Topics | 3 Quizzes

Basic Constructions

Some Constructions of Triangles

Practice Questions-Constructions-Class IX

Essay Type Questions-Constructions-Class IX

Concept Checkers-Construction-Class IX

Heron’s Formula

4 Topics | 4 Quizzes

Area of a Triangle – by Heron’s Formula

Application of Heron’s Formula in Finding Areas of Quadrilaterals

Concept Checkers 2- Heron’s Formula-Class IX

Olympiad Questions 2-Herons Formula-Class IX

Concept Checkers-Heron’s formula-Class IX

Olympiad Questions-Heron’s formula-Class IX

Surface Areas and Volumes

5 Topics | 2 Quizzes

Surface Area and Volume of a Cube

Surface Area and Volume of a Right Circular Cylinder

Surface Area and Volume of a Right Circular Cone

Surface Area and Volume of a Sphere

Practice Questions-Surface Areas and Volume-Class IX

Olympiad Questions – Surface Areas and Volume – Class IX

5 Topics | 2 Quizzes

Collection of Data

Geographical Representation of Data

Measures of Central Tendency

Practice Questions-Statistics-Class IX

Olympiad Questions-Statistics-Class IX

3 Topics | 4 Quizzes

Probability – An Experimental Approach

Concept Checkers 2-Probability-Class IX

Olympiad Questions 2-Probability-Class IX

Olympiad Questions-Probability-Class IX

Practice Questions-Probability-Class IX

Mock Test 1-Class IX

Mock Test 2-Class IX

Mock Test 3-Class IX

Olympiad Questions – Introduction to Euclid’s Geometry – Class IX

Mathematics Class IX Introduction to Euclid’s Geometry Olympiad Questions – Introduction to Euclid’s Geometry – Class IX

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Question 1 of 10

1. Question
If 4 points A, B, C and D are drawn on a paper. No three points are collinear. How many lines can be drawn through a maximum of two points?
- 6
- 4
- 2
- None of these
Correct

Incorrect

Hint

No three points are collinear. So we can consider the points as the vertices of a quadrilateral. So 4 sides of a quadrilateral and 2 diagonals can be drawn. Therefore, 6 lines can be drawn in total.
Question 2 of 10

2. Question
If K is the mid-point of a line PQ, according to which axiom we can write \( KP = KQ = \frac{PQ}{2} \)?
- Axiom number 5
- Axiom number 7
- Axiom number 4
- None of these
Correct

Incorrect

Hint

According to axiom number 7, we can write $KP = KQ = \frac{PQ}{2}$ as K is the mid-point of the line PQ.
Question 3 of 10

3. Question
If there are two lines AB and CD on a plane, then which of the following is correct?
- Always intersect
- Always parallel
- May or may not intersect
- None of these
Correct

Incorrect

Hint

As AB and CD lie on the same plane, they will intersect if they are not parallel and they will not intersect if they are parallel.
Question 4 of 10

4. Question
If the point K lies somewhere on the line segment AB, not on the end points, then which of the following is correct?
- \( AK + KB = AB \)
- \( AK = \frac{AB}{2} \)
- \( KB = \frac{AB}{2} \)
- None of these
Correct

Incorrect

Hint

As it is not given that K is the mid-point of AB, it can lie anywhere on the line segment. So we can’t say that K is the mid-point. So we can write $AK+KB=AB$ .
Question 5 of 10

5. Question
If five points A, B, C, D and E lies on a line such that C is the mid-point of AE, B is the mid-point of AC and D is the mid-point of CE, then which of the following is correct?
- \( AB = \frac{AE}{2} \)
- \( AD=BE \)
- \( AD = \frac{AB}{2} \)
- None of these
Correct

Incorrect

Hint

As C is the mid-point of AE, we can write AC = CE. B is the mid-point of AC and D is the mid point of CE, so we C is also the mid-point of BD. Now BC = CD.

(1) $\begin{equation*}\begin{split} AC &= CE \\ AC + CD &= CE + CD \\ AC+CD &= CE+BC \\ AD=BE \end{split}\end{equation*}$
Question 6 of 10

6. Question
How many points do two distinct lines have in common?
- Always 0
- Always 1
- More than 1
- Either 0 or 1
Correct

Incorrect

Hint

If the lines are parallel, they do not intersect. So they don’t have any common point. If lines intersect then they have one common point. So two distinct lines can have 0 or 1 common point.
Question 7 of 10

7. Question
How many line segments can be formed among 3 non collinear points?
- 4
- 2
- 6
- 3
Correct

Incorrect

Hint

The three points are non collinear. So we can draw 3 line segments.
Question 8 of 10

8. Question
Which of the following are the boundaries of the surfaces?
- Lines
- Angles
- Vertices
- None of these
Correct

Incorrect

Hint

The lines are the boundaries of the surfaces.
Question 9 of 10

9. Question
If P, Q and R are three line segments on a plane, and the line segment P is parallel to line segment Q and line segment Q is parallel to the line segment R, then which of the following is correct?
- Line segment P is perpendicular to the line segment R
- Length of all three line segments are equal
- Line segment P and line segment R are also parallel
- None of these
Correct

Incorrect

Hint

If one line segment is parallel to two line segments then those are parallel to each other as well. Therefore, Line segment P and line segment R are also parallel.
Question 10 of 10

10. Question
Which of the following statement is incorrect?
- Only one line passes through two particular points
- Only one line passes through a particular point
- If two lines are parallel to a third line then the first two lines are also parallel to each other
- None of these
Correct

Incorrect

Hint

The incorrect statement is that only one line passes through a particular point because infinite number of lines can pass through one particular point.

Olympiad Questions - Introduction to Euclid's Geometry - Class IX

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