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Learn Maths Topics and Practice Worksheets Grade 7

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List of lessons for Grade 7

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
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
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
KNOWLEDGE > GENERAL MATH

Units And Measurement of Temperature In Celsius, Fahrenheit And Kelvin

How to measure temperature on thermometers on scales of Celsius, Fahrenheit, & Kelvin? Learn formulas and units conversions. Download free worksheets.
Table of contents
  • Measurement of temperature
  • Celsius unit of temperature
  • Fahrenheit unit of temperature
  • Kelvin unit of temperature
  • Conversion of celsius into fahrenheit
  • Conversion of fahrenheit into celsius
  • Conversion of kelvin into celsius
  • Conversion of celsius into kelvin
Desh Bandhu
Aug 18, 2026
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
ARITHMETIC > NUMBER SYSTEM

Decimal Numeral System And Converting Decimals to Fractions

What are the parts and expanded form of decimal numbers? Learn how to read, write decimals and methods to convert to fractions with solved examples.
Table of contents
  • Decimal numeral system
  • Parts of decimal number
  • Place value chart
  • How to read decimal number?
  • Expanded form
  • Convert fractions to decimals
  • Convert decimals to fractions
  • Convert mixed fractions to decimals
Rupinder Kaur
Aug 18, 2026
Decimals Fractions 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
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

Area And Perimeter Of Parallelogram, Rectangle, Rhombus And Trapezium

Learn formulas and calculations of area and perimeter of quadrilaterals like parallelogram, rectangle, square, rhombus and trapezium.
Table of contents
  • Perimeter of quadrilateral
  • Area of quadrilateral
  • Perimeter of parallelogram
  • Area of parallelogram
  • Perimeter of rectangle
  • Area of rectangle
  • Perimeter of square
  • Area of square
  • Perimeter of rhombus
  • Area of rhombus
  • Area and perimeter of rhombus with diagonals
  • Perimeter of trapezium
  • Area of trapezium
Rupinder Kaur
Aug 18, 2026
2D Shapes Area Perimeter
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
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

Quadrilateral's Sides, Diagonals And Its Types

Learn the definitions of different types of quadrilateral like a parallelogram, rectangle, rhombus, & more. What are their diagonals and adjacent sides?
Table of contents
  • Quadrilateral
    • Adjacent sides
    • Opposite sides
    • Diagonals
  • Types of quadrilateral
    • Parallelogram
    • Rectangle
    • Square
    • Rhombus
    • Trapezium
  • Shape of isosceles Trapezium
  • Shape of kite
Rupinder Kaur
Aug 18, 2026
2D Shapes
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
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
ARITHMETIC > NUMBER SYSTEM

Fractions Types, Representation With Diagrams And Conversions

Understand fractions in an easy way using diagrams. Know the like, unit, improper and mixed fractions with conversions. Practice using free worksheets.
Table of contents
  • Definition
  • How to read fractions?
  • Understand fractions using diagram
  • Types
  • What is an equivalent fraction?
  • Convert improper to mixed fraction
  • Convert mixed to improper fraction
  • Real life example
Rupinder Kaur
Aug 18, 2026
Fractions
ARITHMETIC > NUMBER SYSTEM

Fraction's Addition, Subtraction, Multiplication And Division

Learn how to add, subtract, multiply, and divide fractions of same and different denominators with examples. Practice questions by solving free worksheets.
Table of contents
  • Addition of fractions
    • With same denominators (Like fractions)
    • With different denominators (Unlike fractions)
  • Subtraction of fractions
    • With same denominators
    • With different denominators
  • Multiplication of fractions
    • With whole number
    • A fraction by fraction
  • Division of fractions
Rupinder Kaur
Aug 18, 2026
Fractions
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
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
GEOMETRY > FUNDAMENTALS OF GEOMETRY

Point, Line, Ray, and Plane In Geometry

Definitions of point, line, ray, line segment, and the plane in geometry. Learn to name the different types of lines in free worksheets.
Table of contents
  • Point
  • Line
  • Ray
  • Line segment
  • Plane in geometry
  • Intersecting lines
  • Perpendicular lines
  • Parallel lines
  • Transversal line
  • Concurrent lines
  • What are collinear points?
Rupinder Kaur
Aug 18, 2026
2D Shapes Coordinate Geometry Lines
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