Maths


Class - 10th IMO Subjects
Everything You need to know
 

Here, we will cover the various topics regarding the Subject Mathematics for Class 10 IMO. The concepts that are mastered in the lower classes help us to crack many entrance exams like JEE Main, JEE Advanced, etc. At ABHYASONLINE. IN you can master the concepts at your own learning pace. It provides conceptual testing with an analytical report identifying the weak, moderate and strong concepts. The student can revise the weak concepts with the help of videos and can attempt the remedial test to know the present level of understanding. We at ABHYASONLINE believe that if the weak concepts are identified and improved then every student can achieve their goals in life. Follow the links below to master each and every concept of various topics in  Mathematics along with video lectures.

 

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Explore Concepts (Click & View)

- Basic Number Theory

- Irrational Numbers

- Decimal Expansion

- Prime Factorization

- HCF and LCM Using Prime Factorisation

Sample Test(s)
Test Name
Subject(s)
Topics / Chapters
Questions / Marks
Action
Tutorial - 10th - Maths [Real Numbers I]
Maths
Real Numbers I
10 / 10
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Explore Concepts (Click & View)

- Euclid Division Lemma

- HCF of 2 Numbers Using Euclid Lemma

- Euclid Algorithm to find HCF

- Euclid Division Lemma Definition

Sample Test(s)
Test Name
Subject(s)
Topics / Chapters
Questions / Marks
Action
Tutorial - 10th - Maths [Real Numbers II]
Maths
Real Numbers II
10 / 10
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- Standard form of Linear Equations in Two Variables

- Linear Expression

- Linear Expression in One Variable

- Linear Expression in Two Variable

- Linear Equations

- Linear Equation in One Variable

- Finding Solution of Linear Equation in One Variable

- Linear Equation in Two Variable

- Finding Solutions of Linear Equations in Two Variables

- Finding Value using Substitution

- To check whether a given pair is a solution of the linear equation

- To find the value of a Constant from solution

- Plotting a Linear Equation On Graph

- Representing an Equation in one variable on a graph

- Finding Solutions From Graph

- Word Problems Representation

- Relationship of Coefficients with Number of Solutions

- Solving Pair Of Linear Equation Graphically

Sample Test(s)
Test Name
Subject(s)
Topics / Chapters
Questions / Marks
Action
Tutorial - 10th - Maths [Pair of Linear Equations I]
Maths
Pair of Linear Equations I
10 / 10
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- Solving Pair of Linear Equation Using Substitution

- Elimination Method

- Cross Multiplication Method

Sample Test(s)
Test Name
Subject(s)
Topics / Chapters
Questions / Marks
Action
Tutorial - 10th - Maths [Pair of Linear Equations II]
Maths
Pair of Linear Equations II
10 / 10
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Explore Concepts (Click & View)

- Solving Linear Equations without Brackets

- Solving Equation with Brackets

- Finding Value of an Expression

- Polynomial Expression

- Degree of a Term

- Degree of a Polynomial

- Standard Form For a Polynomial

- Factor And Remainder Theorem

- Relationship of Zeroes With Coefficients of Quadratic Polynomial

- Graphical Representation of A Polynomial

- Forming a Quadratic Polynomial When Zeroes are Given

- Multiplication of Polynomials

Sample Test(s)
Test Name
Subject(s)
Topics / Chapters
Questions / Marks
Action
Tutorial - 10th - Maths [Polynomial I]
Maths
Polynomial I
10 / 10
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Explore Concepts (Click & View)

- Algebraic Identity - Square of Sum of Binomial

- Algebraic Identity - Square of difference of Binomial

- Algebraic Identity - Dfference of Square

- Algebraic Identity -3

- Algebraic Identity - Square of Trinomial

- Algebraic Identity - Difference of Cubes

- Algebraic Identity - Sum of Cubes

- Algebraic Identity -Cube of Sum of Binomial

- Algebraic Identity -Cube of Difference of Binomial

- Algebraic Identity- Conditional

- Division of Polynomial by another Polynomial Long Division

- Factorization of Cubic Polynomial

- Relationship of Zeros With Coefficients of Cubic Polynomial

- Factorisation Using Square Identities

- Factorisation Using Cubic Identities

Sample Test(s)
Test Name
Subject(s)
Topics / Chapters
Questions / Marks
Action
Tutorial - 10th - Maths [Polynomials II]
Maths
Polynomials II
10 / 10
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Explore Concepts (Click & View)

- Identifying Quadratic Equations

- Factors of Quadratic Equation

- Factorization by Grouping of Terms

- Factorization by Middle Term Splitting

- Factorization by Completing the Square

- Statement Sums involving Linear Equations

- Statement sum Involing Quadratic Equations

- Solving Statements Involving Age

- Statement sums involving Coins

- Solving Statements For A Two Digit Number

- Equations Reducible to Quadratic Form

Sample Test(s)
Test Name
Subject(s)
Topics / Chapters
Questions / Marks
Action
Tutorial - 10th - Maths [Quadratic Equations I]
Maths
Quadratic Equations I
10 / 10
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Explore Concepts (Click & View)

- Quadratic Formula

- Nature of Roots of Quadratic Polynomial

- Problems Involving Ratio Of Speed

- Problems Involving Average Speed

- Problems Based on Speed

- Problems Involving Speed of Boat In Still Water

- Problems Involving Boat Moving Upstream

- Problems Involving Boat Moving Downstream

- Solving Statement For Upstream And Downstream

- Single Pipe Filling The Tank

- Single Pipe Emptying The Tank

- Multiple Pipes Filling The Tank

- Pipes Emptying and Filling The Tank

- Solving Statements Involving Pipes

- Problems Involving Moving Train And Stationary Person

- Problems Involving Train Crossing Bridge or Platform

- Problems Involving Crossing Of Trains Moving In Same Direction

- Problems Involving Crossing Of Trains Moving In Opposite Direction

- Problems Involving Moving Train And Moving Person

- Problems Involving Relative Speed

Sample Test(s)
Test Name
Subject(s)
Topics / Chapters
Questions / Marks
Action
Tutorial - 10th - Maths [Quadratic Equations II]
Maths
Quadratic Equations II
10 / 10
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Explore Concepts (Click & View)

- Identifying Hypotenuses In A Right Triangle

- Identifying Adjacent Side To An Angle

- Identifying Opposite Side To An Angle

- Trigonometric Ratios

- Reciprocal Trigonometric Ratios

- Trigonometric ratios for 30 degrees

- Trigonometric ratios for 45 degrees

- Trigonometric ratios for 60 degrees

- Trigonometric ratios for 90 degrees

Sample Test(s)
Test Name
Subject(s)
Topics / Chapters
Questions / Marks
Action
Tutorial - 10th - Maths [Introduction to Trigonometry I]
Maths
Introduction to Trigonometry I
10 / 10
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Explore Concepts (Click & View)

- Trigonometric ratios of Complementary Angles

- Trigonometric Identity Involving Sine And Cosine

- Trigonometric Identity Involving Secant And Tangent

- Trigonometric Identity Involving Cosecant And Cotangent

- Trigonometric Identities

Sample Test(s)
Test Name
Subject(s)
Topics / Chapters
Questions / Marks
Action
Tutorial - 10th - Maths [Introduction to Trigonometry II]
Maths
Introduction to Trigonometry II
10 / 10
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Explore Concepts (Click & View)

- Meaning of Arithmetic Progression

- First Term and Common Difference of an AP

- General Term Of an AP

- Nth Term of AP

- Find The Value of Nth Term when Common Difference, Number of Terms and First Term are Given

- Finding The Value of N When Nth Term and AP is Given

- Find The Value of Common Difference when Nth Term, Number of Terms and First Term are Given

- Find The Value of First Term when Nth Term, Number of Terms and Common Difference are Given

- Finding AP When Two Nth Terms Are Given

Sample Test(s)
Test Name
Subject(s)
Topics / Chapters
Questions / Marks
Action
MOCK (F) - 10th - Maths [Arithmetic Progression I, Arithmetic Progression II]
Maths
Arithmetic Progression I, Arithmetic Progression II
15 / 15

Tutorial - 10th - Maths [Arithmetic Progression I]
Maths
Arithmetic Progression I
10 / 10
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Explore Concepts (Click & View)

- Sum of First n Terms of AP

- Find Number of Terms When Sum of N Terms, First Term and Common Difference are Given

- Find Common Difference when First Term, Number of Terms and Sum of N Terms is Given

- Sum of N Terms When First Term, Last Term and Number of Terms are Given

- Find Sum of N Terms When A.P. and Last Term is Given

Sample Test(s)
Test Name
Subject(s)
Topics / Chapters
Questions / Marks
Action
MOCK (F) - 10th - Maths [Arithmetic Progression I, Arithmetic Progression II]
Maths
Arithmetic Progression I, Arithmetic Progression II
15 / 15

Tutorial - 10th - Maths [Arithmetic Progression II]
Maths
Arithmetic Progression II
10 / 10
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Explore Concepts (Click & View)

- Similar Figures

- Similarity of Triangles

- Basic Proportionality Theorem and its Converse

- Similarity of Triangles by AAA Criteria

- Similarity of Triangles by AA Criteria

- Similarity of Triangles by SSS Criteria

- Similarity of Triangles by SAS Criteria

Sample Test(s)
Test Name
Subject(s)
Topics / Chapters
Questions / Marks
Action
Tutorial - 10th - Maths [Triangles I]
Maths
Triangles I
10 / 10
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Explore Concepts (Click & View)

- Calculating Perimeter of Triangle

- Area of Similar Triangles

- Similarity Related To Right Triangle

- Pythagoras Theorem

- Results Deduced From Pythagoras Theorem

Sample Test(s)
Test Name
Subject(s)
Topics / Chapters
Questions / Marks
Action
Tutorial - 10th - Maths [Triangles II]
Maths
Triangles II
10 / 10
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Explore Concepts (Click & View)

- Line of Sight Or Horizontal Level

- Angle Of Elevation

- Angle Of Depression

- Double Triangle

- Relation Between Altitude Base and Hypotenuse

Sample Test(s)
Test Name
Subject(s)
Topics / Chapters
Questions / Marks
Action
Tutorial - 10th - Maths [Some Applications of Trigonometry]
Maths
Some Applications of Trigonometry
10 / 10
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Explore Concepts (Click & View)

- Distance Formula

- Section Formula

- Mid Point Formula

- Trisection Points of Line

Sample Test(s)
Test Name
Subject(s)
Topics / Chapters
Questions / Marks
Action
MOCK (F) - 10th - Maths [Coordinate Geometry I, Coordinate Geometry II]
Maths
Coordinate Geometry I, Coordinate Geometry II
10 / 10

Tutorial - 10th - Maths [Coordinate Geometry I]
Maths
Coordinate Geometry I
10 / 10
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Explore Concepts (Click & View)

- Area of Triangle Using Coordinate

- Identification of Collinear Points

Sample Test(s)
Test Name
Subject(s)
Topics / Chapters
Questions / Marks
Action
MOCK (F) - 10th - Maths [Coordinate Geometry I, Coordinate Geometry II]
Maths
Coordinate Geometry I, Coordinate Geometry II
10 / 10

Tutorial - 10th - Maths [Coordinate Geometry II]
Maths
Coordinate Geometry II
10 / 10
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Explore Concepts (Click & View)

- Simplifying Trigonometric Expressions


 

Explore Concepts (Click & View)

- Direct Variation

- Inverse Variation

- Time and Work

- Direct Variation With Exponents

- Inverse Variation With Exponents


 

Explore Concepts (Click & View)

- Radius Chord Secant Tangent Difference

- Relationship Between Radius of Circle And Tangent

- Number of Tangents From a Point on a Circle

- Length of Tangents to a Circle

- Angle Between Two Tangents

- Circle and Related Terms

- Arc of a Circle

- Chord and Segment of a Circle

Sample Test(s)
Test Name
Subject(s)
Topics / Chapters
Questions / Marks
Action
Tutorial - 10th - Maths [Circles I]
Maths
Circles I
10 / 10
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Explore Concepts (Click & View)

- Cyclic Quadrilateral

- Common Tangents

- Relation of Tangent and Secant from an External Point

- Relation of Chord Between The Point Of Contact and Tangent

- Concentric Circles Problems


 

Explore Concepts (Click & View)

- Divide the line segment in the given ratio

- Construct a triangle similar to a given triangle as per given scale factor

- Construct the tangent to a circle at a point outside it


 

Explore Concepts (Click & View)

- Statistics

- Data and its Interpretation

- Class Size

- Class Mark

- Mean of Ungrouped Data

- Statistical Data

- Mean of Grouped Data

- Calculating Mean Using Assumed Mean Method

- Calculating Mean using Step Deviation Method

- Range of Data

Sample Test(s)
Test Name
Subject(s)
Topics / Chapters
Questions / Marks
Action
Tutorial - 10th - Maths [Statistics I]
Maths
Statistics I
10 / 10
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Explore Concepts (Click & View)

- Cumulative Frequency Table

- Empirical Formula for Mean Median and Mode

- Mode of Grouped Data

- Median of Grouped Data

- Finding Median from Ogive

- Less Than Cummulative Frequecy Distribution

- More Than Frequency Distribution

Sample Test(s)
Test Name
Subject(s)
Topics / Chapters
Questions / Marks
Action
Tutorial - 10th - Maths [Statistics II]
Maths
Statistics II
10 / 10
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Explore Concepts (Click & View)

- Surface Area of a Cube

- Lateral Surface Area of a Cube

- Total surface area of a cuboid

- Lateral Surface Area of a Cuboid

- Lateral Surface Area of Cone

- Total Surface Area of Cone

- Total Surface Area of Cylinder

- Lateral Surface Area of a Cylinder

- Surface Area of Sphere

- Surface Area of Composite Figures

- Volume of a cube

- Volume of a cuboid

- Volume of cylinder

- Volume of Cone

- Volume of Composite Solids

- Volume of Prism

- Lateral Surface Area of Hollow Cylinder

- Surface Area of Hollow Cylinder

- Surface Area of Spherical Shell

Sample Test(s)
Test Name
Subject(s)
Topics / Chapters
Questions / Marks
Action
Tutorial - 10th - Maths [Surface Area and Volume I]
Maths
Surface Area and Volume I
10 / 10
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Explore Concepts (Click & View)

- Volume of Frustum

- Lateral Surface Area of Frustum

- Total Surface Area of Frustum

- Total Surface Area of Hemisphere

- Lateral Surface Area of Hemisphere

- Volume of Sphere

- Volume of Hemisphere

- Melting and Recasting

- Volume of Hollow Cylinder

- Volume of Spherical shell

Sample Test(s)
Test Name
Subject(s)
Topics / Chapters
Questions / Marks
Action
Tutorial - 10th - Maths [Surface Area and Volume II]
Maths
Surface Area and Volume II
10 / 10
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Explore Concepts (Click & View)

- Circumference of Circle

- Area of Circle

- Arc Length of Sector

- Area of Sector

- Area of Segment of Circle

- Area of Shaded Region

Sample Test(s)
Test Name
Subject(s)
Topics / Chapters
Questions / Marks
Action
Tutorial - 10th - Maths [Areas Related to Circles]
Maths
Areas Related to Circles
10 / 10
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Explore Concepts (Click & View)

- Probability of An Event

- Favourable and Unfavourable Outcomes

- Probability of Event not Happening

- Dice Probability

- Deck of Cards Probability

- Probability Involving Calender

- Probability Coin Experiment

- Spinning of Wheel Probability

- Combination of Events

- At the Most Probability

- Atleast Probability

- Geomatrical Probability

- And OR Conditions in Probability

- Compound Probability

- Definition of Probability

- Conditional Probability

- Repetitive Experiment

Sample Test(s)
Test Name
Subject(s)
Topics / Chapters
Questions / Marks
Action
Tutorial - 10th - Maths [Probability]
Maths
Probability
10 / 10
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