RATIONAL NUMBERS

• Properties of rational numbers
• Properties of addition of rational numbers
• Properties of subtraction of rational numbers
• Properties of multiplication of rational numbers
• Properties of division of rational numbers
• Additive inverse
• Additive inverse of a rational number
• Multiplicative inverse
• Representation of rational numbers on number line
• Rational numbers between two rational numbers

LINEAR EQUATIONS IN ONE VARIABLE

• Solving equations with variables on both sides
• Solving one step equations word problems
• Word problems on simple equations
• Solve rational equations
• Solve linear equations word problems
• BODMAS rule
• Exponents
• Laws of exponents
• Simplifying expressions with powers
• Simplifying expressions with rational exponents 
• Find the missing exponent
• Find the missing base

UNDERSTANDING QUADRILATERALS

• Classification of polygons
• Sum of Interior Angles of a Polygon
• Sum of Exterior Angles of a Polygon
• Classify quadrilaterals
• Interior Angles of a Quadrilateral
• Trapezium
• Parallelogram
• Properties of parallelogram
• Rhombus
• Rectangle
• Square

SQUARE, SQUARE ROOTS, CUBE AND CUBE ROOTS

• Square of numbers
• How to find the unit digit of squares
• How to find the square of a fraction
• How to check if the given number is perfect square or not.
• Square root
• Properties of square root
• Square root of perfect squares
• Square root by prime factrization method
• Square root by long division
• Square root of decimal number
• Square root of fraction
• How to find the number of digits of square root of a number
• Find the least number to be added to get a perfect square
• How to find the least number to be subtracted to get a perfect square
• Find the least number should be multiplied to get a perfect square
• Find the least number should be divided to get a perfect square
• How to find the cube of the number
• How to check if the given number is perfect cube or not

MEASUREMENTS

• Area and perimeter
• Area of circle
• Circumference of circle
• Area of shaded region
• Area and perimeter of semicircle
• Area and perimeter of quadrant
• Area of trapezium
• Area of quadrilateral
• How to find the area of sector
• Arc length of sector
• Perimeter of sector
• Surface area of cube, cuboid and cylinder
• Volume of cube cuboid and cylinder

COMPARING QUANTITIES

• Finding percent increase and decrease
• Markup and markdown word problems
• How to find cost price
• How to find selling price ?
• How to get percent of discount ?
  
• Percent of discount tax and more
• How to compute simple interest ?
• How to compute compound interest ?
• Simple and compound interest
• Difference between simple and compound interest

ALGEBRAIC EXPRESSIONS AND IDENTITIES

• Terms, factors and coefficients
• Monomials, binomials and polynomials
• Like and unlike terms
• Addition and subtraction of algebraic expressions
• Multiplication of algebraic expression
• Multiplying a monomial by a binomial
• Multiplying monomials
• Multiplying a monomial by a polynomial
• Multiplying binomials using FOIL method
• Multiplying binomial by a trinomial
• Algebraic identities
• Formula for (a + b)²
• Formula for (a - b)²
• Formula for (x + a) (x + b)
• Formula for a² - b²
• Factoring monomials
• Factoring expressions
• Factorise by grouping
• Factorization using identities
• Dividing a monomial by a monomial
• Solving one step equations
  
• Solving two step equations
• Solving one step equations word problems

EXPONENTS AND POWERS

• Powers with negative exponents
• Exponent with negative bases
• Find the missing base
• Find the missing exponent
• Laws of exponents
• Writing numbers in standard form

DIRECT AND INVERSE PROPORTION

• Direct and inverse variation
• 
  

GEOMETRY

• Properties of triangle
• Kinds of triangles 
• Angle sum property of a triangle
• Triangle inequality theorem
• Congruence of triangle
• Pythagorean Theorem
  
• How to find pythagorean triplet from one number
• How to find the missing angle of a triangle
• The measures of the angles of a triangle are in the extended ratio worksheet
  
• Circle

CARTESIAN PLANE AND COORDINATES

• Plotting points on a coordinate plane
• Identify points on a coordinate plane

DATA HANDLING

• Formation of frequency table for ungrouped data
  
• How to draw histogram for grouped data
• Drawing a histogram when class intervals are not continuous
• How to draw frequency polygon using histogram
• How to draw frequency polygon without suing histogram
• Construction of pie chart
• Arithmetic mean of ungrouped data
• How to find the missing number in arithmetic mean
• How to find the correct mean from incorrect mean
• Find arithmetic mean by direct method
• Median of ungrouped data
• How to find median of grouped data
• How to find mode of ungrouped data
• Finding mean, median and mode of grouped data

PRACTICAL GEOMETRY

• Construction of centroid of a triangle
• Construction of orthocenter of a triangle
• Construction of incenter of a triangle

PRACTICE WORKSHEETS

• Practice Test 1
• Practice Test 2
• Practice Test 3
• Practice Test 4
• Practice Test 5
• Practice Test 6
• Practice Test 7
• Practice Test 8
• Practice Test 9
• Practice Test 10

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