Year 10 Math



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
   Conditions for Solvability of a System of Linear Equations
   Word Problems on Linear Equations in Two Variables
Triangles
   Basic Proportionality Theorem (Thales's Theorem) and its Applications
   Angle-Bisector Theorem and its Applications
   Similar Triangles
   Pythagoras Theorem
Trigonometry
   Trigonometric Ratios
   Trigonometric Ratios of Angles 0°, 30°, 45°, 60°, and 90°
   Trigonometric Ratios of Complementary Angles
   Trigonometric Identities
   Heights and Distances
Statistics and Probability
   Statistics
   Probability
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
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 (nth Term) of an AP
   General Term (nth Term) from the End of an AP
   Arithmetic Mean
   Sum of n Terms of an Arithmetic Progression (AP)
   Word Problems on Arithmetic Progressions (AP)
Circles
   Theorems and Results Related to Tangents of Circles
Coordinate Geometry
   Distance Between Two Points
   Section Formula and Midpoint Formula
   Centroid of a Triangle
   Area of a Triangle
   Area of a Parallelogram
Mensuration
   Perimeter and Area of Plane Figures
   Volume and Surface Area of Solids
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