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Learn Maths Topics and Practice Worksheets Class 10

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List of lessons for Class 10

ALGEBRA > EQUATIONS

Roots And The Discriminant Of A Quadratic Equation

What is the standard form & discriminant of a quadratic equation? How to find roots using factorization, completing the square & quadratic formula methods.
Table of contents
  • Quadratic equation
  • Standard form
  • Roots
  • Methods to solve
    • Factorization method
    • Completing the square method
    • Quadratic formula method
Rupinder Kaur
Jul 14, 2026
TRIGONOMETRY > BASICS

Trigonometric Ratios With Formulas And Calculations

Learn basics and calculations of trigonometric ratios of acute angles in a right-angled triangle. Easy method to remember t-ratios in trigonometry.
Table of contents
  • Right angled triangle
  • Trigonometric ratios
  • Calculations of trigonometric ratios
  • Multiplication of trigonometric ratios
  • Memorize trigonometric ratios
Desh Bandhu
Jul 26, 2026
STATISTICS & PROBABILITY > PROBABILITY

Probability Basics With Real Life Examples

Where to observe probability in daily life? Learn terms like outcomes, events and the sample space. Practice formulas to find probability of events.
Table of contents
  • Real life example of probability
  • Terms used in probability
    • Experiment
    • Outcome
    • Sample space
    • Event
    • Mutually exclusive events
  • How to calculate probability
Desh Bandhu
Aug 18, 2026
GEOMETRY > GEOMETRY THEOREMS

Pythagoras Theorem's Statement, History And Real Life Applications

What is the statement of Pythagoras theorem? How is it used to solve the shortest distance & ladder length problems? Know about its history & applications.
Table of contents
  • History
  • Statement
  • Real life applications
  • Ladder length problem
  • The shortest distance problem
Desh Bandhu
Aug 18, 2026
2D Shapes
ALGEBRA > POLYNOMIALS

Sum And Product Of Zeros Of Quadratic, Cubic & Biquadratic Polynomials

Learn the formulas to find the sum & products of zeros of quadratic, cubic, & biquadratic polynomials. Practice by solving questions from free worksheets.
Table of contents
  • Sum and product of zeros of quadratic
  • Sum and product of zeros of cubic
  • Sum and product of zeros of biquadratic
Rupinder Kaur
Aug 18, 2026
GEOMETRY > FUNDAMENTALS OF GEOMETRY

Circle's Circumference And Area Of Sectors And Segments

Learn how to calculate the area & circumference of a circle. Refer the list of formulas to find areas of the sector, segment, semicircle & length of arc.
Table of contents
  • Circle
  • Semi circle
  • Area of minor sector
  • Area of major sector
  • Area of minor segment
  • Area of major segment
  • Length of arc
  • Formulas list of areas & perimeters
Rupinder Kaur
Aug 18, 2026
2D Shapes Area Perimeter
KNOWLEDGE > HISTORY

Famous Mathematicians And Their Contributions In The Field

Search the names of famous mathematicians in the world and their contributions in the field of science & mathematics. Know their birth & country of origin.
Table of contents
  • Al Khawarizmi
  • Archimedes
  • Aryabhata
  • Blaise Pascal
  • Carl Freidrich Gauss
  • Euclid
  • Fancios Vitea
  • George Rheticus
  • Heron or Hero of Alexandria
  • Pierre De Fermat
  • Pierre Simon Laplace
  • Pythagoras
  • Rene Descartes
  • Srinivasa Ramanujan
  • Thales of Miletus
Desh Bandhu
Aug 18, 2026
KNOWLEDGE > HISTORY

Important Days Of Mathematics Celebrated In The World

Get the important days of mathematics celebrated in the world. Learn the ways to arrange these events. Which are the competitions organized on math days?
Table of contents
  • List of important maths days
  • E-Day (Euler's Number)
  • Fibonacci Day
  • International Sudoku Day
  • National Mathematics Day (India)
  • National Numeracy Day (UK)
  • Number Day (UK)
  • Palindrome Day
  • Pi Day
  • Pythagorean Theorem Day
  • Square Root Day
  • Women in Mathematics Day
  • World Maths Day
  • Summary of maths days in a year
  • Calendar of Math days
Desh Bandhu
Aug 18, 2026
ARITHMETIC > NUMBER SYSTEM

Fundamental Theorem Of Arithmetic With Applications

Fundamental Theorem of Arithmetic. Its history, theorem statement, applications in HCF or GCD and LCM with examples.
Table of contents
  • Theorem Statement
  • Why is prime factorization always unique?
  • Applications
    • GCD or HCF
    • LCM
  • History
Rupinder Kaur
Aug 18, 2026
Factorization
THINGS TO REMEMBER > FORMULAS

Download And Print List Of Surface Area And Volume Formulas

Download formulas of surface areas and volumes of 3-dimensional shapes of geometry. Print PDF sheets of helpful and ready to remember list for exams.
Table of contents
  • Important surface area formulas
  • Important total surface area formulae
  • Important volume formulas
Rupinder Kaur
Aug 18, 2026
Area Perimeter
GEOMETRY > FUNDAMENTALS OF GEOMETRY

Cartesian Coordinate System And Quadrants

How are x and y axes scaled in the Cartesian coordinate system with sign conventions? Learn how to locate the coordinates of a point in quadrants.
Table of contents
  • x and y coordinate axes
  • Positive and negative directions of axes
  • How to scale x and y axes?
  • What are the four quadrants?
  • Locate coordinates of a point
  • Sign conventions used in quadrants
Rupinder Kaur
Aug 18, 2026
Coordinate Geometry Lines
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