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Learn Maths Topics and Practice Worksheets Class 7

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List of lessons for Class 7

ARITHMETIC > PERCENTAGES

Profit, Loss And Discount Percentage With Real Life Example

Learn definitions and how to calculate profit and loss. Understand discount percentages & more about prices with examples and free worksheets to download.
Table of contents
  • Cost price
  • Selling price
  • Overhead charges
  • Effective cost price
  • Marked price
  • Calculate profit
  • Calculate loss
  • Calculate profit percentage
  • Calculate loss percentage
  • Calculate discount
  • Calculate discount percentage
  • Real life examples
Desh Bandhu
Jul 11, 2026
ARITHMETIC > PERCENTAGES

Percentages And Its Conversion To Fractions And Decimals

Learn the definition and how to calculate the percentage of a number. Know the methods to convert percentage to fractions & decimals with solved examples.
Table of contents
  • Definition
  • Real life example
  • Calculate percentage of a number
  • What percentage of a number is
  • Convert percentage to fraction
  • Convert fraction to percentage
  • Convert decimals to percentage
  • Convert percentage to decimals
Rupinder Kaur
Jul 11, 2026
Decimals Fractions
ARITHMETIC > NUMBER SYSTEM

Rational Numbers With Types, Standard Form & Plotting On Number Line

Learn the definition, types, equivalent, and comparisons of rational numbers. What are the standard form & steps to represent it on the number line?
Table of contents
  • Definition
  • Types
  • Standard form
  • Equivalent rational number
  • Comparison of rational numbers
  • Plotting on number line
Rupinder Kaur
Jul 13, 2026
Numbers
GEOMETRY > FUNDAMENTALS OF GEOMETRY

Circle's Radius, Diameter, Chord And Tangent

What is a circle? Know about its diameter, arc, secant, sectors and segments. Practice questions on recognizing its parts by solving free worksheets.
Table of contents
  • Center and radius
  • Diameter
  • Chord
  • Secant
  • Tangent
  • Arcs of circle
  • Sectors of circle
  • Segments of circle
  • Semi circle
Rupinder Kaur
Jul 14, 2026
2D Shapes
GEOMETRY > FUNDAMENTALS OF GEOMETRY

Area And Perimeter Of Different Types Of Triangle

Learn formulas and practice how to calculate area and perimeter of isosceles and equilateral triangles with solved examples and free worksheets.
Table of contents
  • Perimeter
    • Triangle
    • Equilateral triangle
    • Isosceles triangle
  • Area
    • Area of triangle
    • Area of equilateral triangle
    • Area of isosceles triangle
Rupinder Kaur
Jul 18, 2026
2D Shapes Area Perimeter
ARITHMETIC > ARITHMETIC OPERATIONS

Arithmetic Operations On The Positive And Negative Integers

What are integers and how to represent them on the number line? Learn arithmetic operation, additive inverse & absolute values with examples & worksheets.
Table of contents
  • What are integers?
  • Representation on number line
  • Addition operation
  • Subtraction operation
  • Multiply operation
  • Divide operation
Rupinder Kaur
Aug 18, 2026
Numbers
STATISTICS & PROBABILITY > DATA HANDLING

Data Handling, Presentation and Interpretation

Learn basics of data handling. How to present & interpret data on charts. Learn the steps to draw pictographs, bar graphs, pie charts and line graphs.
Table of contents
  • Presentation of data
  • Pictograph
  • Bar graph (Column graph)
  • Double bar graph
  • Histogram
  • Pie Graph or Pie Chart
  • Line graph
Rupinder Kaur
Aug 18, 2026
STATISTICS & PROBABILITY > DATA HANDLING

Learn Collection, Organization And Frequency Distribution Of Data

What is data in statistics? Learn the primary and secondary types of data. How is raw data organized? Know the use of tally marks in frequency distribution
Table of contents
  • Understand information and data
  • Data in statistics
  • Collection of data
  • Organization of data
  • Frequency in statistics
  • Tally marks
  • Types of frequency distribution
Rupinder Kaur
Aug 18, 2026
ALGEBRA > EXPONENTS

Laws of Exponents And The Rule To Write The Standard Index Form

What are the common rules of exponents? Learn & practice how to convert short & long numbers to the scientific notations using examples & free worksheets.
Table of contents
  • Exponents
  • Laws of exponents
    • When same bases are multiplied
    • When same bases are divided
    • When exponent is 0
    • Power of a power
    • Product of bases with same exponents
    • Division of bases with same exponents
  • What is the standard index form?
  • How to write standard index form?
    • If number less than 1
    • If number lies from 1 to 10
    • If number greater than 10
Rupinder Kaur
Aug 18, 2026
ALGEBRA > EQUATIONS

Linear Equation And The Three Methods To Find The Root

What is a linear equation and how to simplify? Learn and practice the trial, systematic, and transportation methods with examples and free worksheets.
Table of contents
  • Equation
  • Linear equation
  • Methods to solve linear equation
    • Trail and error method
    • Systematic method
    • Transposition method
Rupinder Kaur
Aug 18, 2026
ARITHMETIC > INTEREST

Simple And Compound Interest With Real Life Examples

What are the differences between simple and compound interest? Learn how to calculate the amount and rate of interest on the principal with examples.
Table of contents
  • Real life examples of interest
  • Principal
  • Interest
  • Amount
  • Simple interest
  • Compound interest
  • Compound and simple interest difference
Rupinder Kaur
Aug 18, 2026
ALGEBRA > ALGEBRAIC EXPRESSIONS

Coefficients And Terms of Algebraic Expressions With Basic Operations

What are constants, variables, and coefficients in an algebraic expression? How to simplify an algebraic expression with like and unlike terms?
Table of contents
  • Variables in expressions
  • Constant in expressions
  • What are algebraic expressions?
  • Parts of an algebraic expression
  • Which are four operations on algebraic expression?
Rupinder Kaur
Aug 18, 2026
GEOMETRY > FUNDAMENTALS OF GEOMETRY

Angles Made On Parallel Lines By Intersecting Line

Which angles are created by a transversal on parallel lines? Learn when alternate and corresponding angles are equal. Solve questions of missing angles.
Table of contents
  • Exterior angles
  • Interior angles
  • Transversal crosses parallel lines
  • Alternate angles
  • Corresponding angles
  • Vertically opposite angles
Rupinder Kaur
Aug 18, 2026
Angles Lines
GEOMETRY > FUNDAMENTALS OF GEOMETRY

Polygon's Types And Classification Based On Sides

Start learning with vertices, angles & sides of polygon. Know the types like convex, concave, pentagon, hexagon etc. Practice problems to find the angles.
Table of contents
  • Curve
  • Polygon
    • Adjacent sides
    • Adjacent vertices
    • Diagonals
  • Types of polygon
    • Convex polygon
    • Concave polygon
    • Regular polygon
    • Irregular polygon
    • Simple polygon
  • Types based on number of sides
Rupinder Kaur
Aug 18, 2026
2D Shapes
ARITHMETIC > NUMBER SYSTEM

Least Common Multiple Properties And Methods To Calculate

How to calculate LCM of numbers with the listing multiple, prime factorization & division methods? Learn important properties of the lowest common multiple
Table of contents
  • Definition
  • Key terms of LCM
    • Multiples of a number
    • Common multiples of numbers
  • Methods to find LCM
    • Listing multiple method
    • Prime factorization method
    • Division method
  • Properties of LCM
    • Property of co-primes
    • Multiple of Number and LCM
    • Property of primes
    • LCM always greater
    • Relation of LCM and HCF
Rupinder Kaur
Aug 18, 2026
Factorization
ARITHMETIC > NUMBER SYSTEM

Highest Common Factor Properties And Methods To Calculate

How to calculate HCF or GCD using common factors? Learn Euclidean algorithm with continued division method. Familiar to properties of HCF & perfect number.
Table of contents
  • Definition
  • Key terms of HCF
  • Methods to find HCF
  • properties of HCF
  • What is the perfect number?
Rupinder Kaur
Aug 18, 2026
Factorization
THINGS TO REMEMBER > FORMULAS

Download And Print Area And Perimeter Formulas Of 2-Dimensional Shapes

Download and print PDF sheets of list of formulas of the area & perimeter of 2-dimensional shapes in geometry. A Helpful summary to keep handy for exams.
Table of contents
  • Important area formulas of 2D shapes
  • Perimeter formulas of 2D shapes
Rupinder Kaur
Aug 18, 2026
2D Shapes Area Perimeter
GEOMETRY > FUNDAMENTALS OF GEOMETRY

Triangle And Its Types Based On Size Of Sides And Angles

Start with learning the sides, vertex, and angles of a triangle. Know the different types based on the length of its sides and size of angles.
Table of contents
  • Definition
  • Number of sides
  • Vertices
  • Angles
  • Types based on sides length
  • Types based on size of angles
Rupinder Kaur
Aug 18, 2026
2D Shapes Angles
ARITHMETIC > NUMBER SYSTEM

Ratio, Proportion With Properties & The Unitary Method

Know the key terms of ratios. What are the properties of proportions and unitary method to solve word problems? Practice questions with free worksheets.
Table of contents
  • Ratios
    • Antecedent
    • Consequent
  • Proportions
    • Extremes
    • Means
    • Cross product rule
    • Continued proportion
    • Properties of proportion
  • Unitary method
    • Steps to solve word problems
Rupinder Kaur
Aug 18, 2026
Fractions
ALGEBRA > POLYNOMIALS

Plotting Of Zeros Of Linear, Quadratic And Cubic Polynomials

Understand the geometrical meaning of zeros of linear, quadratic, & cubic polynomials. Learn the definition and steps to sketch & plot zeros on the graph.
Table of contents
  • What are zeros of a polynomial?
  • Definition
  • Geometrical meaning
  • Plot the zeros of linear polynomial
  • Plot the zeros of quadratic polynomial
  • Plot the zeros of cubic polynomial
  • Plot the zeros of biquadratic polynomial
Rupinder Kaur
Aug 18, 2026
Coordinate Geometry
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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