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Home
Math
Grade 10
Grade 10 Math
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Quick Topics
National Curriculum
Competitive Exams
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Grade 10
Real numbers
▼
Euclid's Division Lemma
Fundamental Theorem of Arithmetic
Prime and Composite Numbers, LCM, HCF, Prime-Factorization
Word Problems on HCF and LCM
Rational Numbers
Irrational Numbers
Polynomials
▼
Zeros of a Quadratic Polynomial
Zeros of a Cubic Polynomial
Division Algorithm for Polynomials
Linear Equations in Two Variables
▼
Forming Linear Equations Under the Given Conditions
Solutions of a Linear Equation
Solving a System of Simultaneous Linear Equations
►
Graphical Method
Algebraic Method
►
Substitution Method
Elimination Method
Cross Multiplication Method
Conditions for Solvability of a System of Linear Equations
►
System of Equations with Unique Solution
System of Equations with Infinitely Many Solutions
System of Equations with No Solution
To Identify the Number of Solutions of a System of Simultaneous Linear Equations
To Find the Unknown Variable When the Equation of Two Lines is Given
Graph of Consistent and Inconsistent System of Linear Equations
Homogeneous System of Equations
Word Problems on Linear Equations in Two Variables
►
Problems on Money Matters
Problems on Numbers
Problems on Ages
Problems on Time and Distance
Problems on Boats and Stream
Problems on Time and Work
Problems on Area
Problems on Geometry
Triangles
▼
Basic Proportionality Theorem (Thales's Theorem) and its Applications
Angle-Bisector Theorem and its Applications
Similar Triangles
►
Theorems and Problems Related to Similar Triangles
Ratio of the Areas of Two Similar Triangles
Pythagoras Theorem
Trigonometry
▼
Trigonometric Ratios
►
Trigonometric Ratios of an Acute Angle of a Right-Triangle
Reciprocal Relation Between Trigonometric Ratios
Quotient Relation of Trigonometric Ratios
Various Trigonometric Ratios of an Angle
Trigonometric Ratios of the Acute Angles in a Right-Triangle
Evaluate Expressions Involving various Trigonometric Ratios of an Angle
Evaluate Expressions Involving Trigonometric Ratios in a Right-Triangle
Square Relation of Trigonometric Ratios
Trigonometric Ratios of Angles 0°, 30°, 45°, 60°, and 90°
Trigonometric Ratios of Complementary Angles
Trigonometric Identities
►
Trigonometric Identities to solve Expressions Involving Trigonometric Ratios
Elimination of Trigonometric Ratios Using Identities
Heights and Distances
Statistics and Probability
▼
Statistics
►
Mean of Grouped Data
►
Mean for an Exclusive Series
►
Direct Method
Assumed-Mean Method
Step-Deviation Method
Mean for an Inclusive Series
Word Problems on Mean
Median for Grouped Data
►
Median for an Exclusive Series
Median for an Inclusive Series
Mode of Grouped Data
►
Mode for an Exclusive Series
Mode for an Inclusive Series
Using Empirical Formula
Miscellaneous Questions on Mean, Mode and Median of Grouped Data
Probability
►
Card Problems
Dice Problems
Coin Problems
Other Problems
Quadratic Equations
▼
Identify Quadratic Equations
Verify Solutions of a Quadratic Equation
Solve Quadratic Equations by Factorization
Solve Quadratic Equations by Completing the Square
Solve Quadratic Equations by Using Quadratic Formula
Nature of Roots of a Quadratic Equation
Word Problem on Quadratic Equations
►
Word Problems on Numbers
Word Problems on Ages
Word Problems on Money
Word Problems on Speed, Time and Distances
Word Problems on Time and Work
Word Problems on Areas and Geometry
Arithmetic Progression (AP)
▼
Tell if a Progression is an Arithmetic Progression (AP)
Find the First Term, Common Difference or the Next Term in an Arithmetic Progression (AP)
Find the Unknown Variable(s) in an AP
Find the Numbers in AP Under Specified Conditions
General Term (
n
^{th}
Term) of an AP
►
Find the General Term of an AP
Find the Number of Terms in an AP
Find the Middle Term of an Arithmetic Progression
Find the Position of the Term of an Arithmetic Progression
General Term (
n
^{th}
Term) from the End of an AP
Arithmetic Mean
Sum of
n
Terms of an Arithmetic Progression (AP)
►
Find the General Term of an AP When the Sum of
n
Terms is Given
Find the Common Difference when the Sum of the Series is Given (AP) and the First and the Last Term is Given
Find the Number of Terms in an AP When the Sum of the Series is Given
Find the Sum of an AP Under Different Conditions
Word Problems on Arithmetic Progressions (AP)
Circles
▼
Theorems and Results Related to Tangents of Circles
Coordinate Geometry
▼
Distance Between Two Points
►
Distance of a Point from the Origin
Distance Between Two Given Points
Coordinates of a Point Which is at a Fixed Distance from Another Point
Point Equidistant from Two Given Points and Related Problems
Find if the Given Points are Collinear and Solve Related Problems
Section Formula and Midpoint Formula
Centroid of a Triangle
Area of a Triangle
Area of a Parallelogram
Mensuration
▼
Perimeter and Area of Plane Figures
►
Measuring Areas of Triangles
►
Area of a Triangle Using Base and Altitude
Area of a Triangle Using Heron's Formula
Measuring Areas of Quadrilaterals
►
Area Between Two Rectangles
Area of a Quadrilateral
Area of a Parallelogram
Area of a Rhombus
Area of a Trapezium
Area of a Quadrilateral Using Heron's Formula
Application of Results on Area of Polygonal Regions
Area of circles, sectors and segments
►
Area and Circumference of a Circle
Area and Circumference of a Semi-Circle
Area and Circumference of a Circular Ring
Area of a Sector, Segment and Length of the Arc
Word Problems on Rotating Wheels
Word Problems on Rotation of the Hands of the Clock
Areas of Combinations of Plane Figures
Volume and Surface Area of Solids
►
Volume and Surface Area of Cuboids and Cubes
Volume and Surface Area of Cylinders
Volume and Surface Area of Circular Cones
Volume and Surface Area of Conical Frustum
Volume and Surface Area of Spheres, Hemispheres and Spherical Shells
Conversion of Solid from One Shape to Another
Volume and Surface Area of Combination of Solids
Mixed Problems on Volume and Surface Area
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