- 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

- 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

- 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

- 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

- 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

- 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 a
^{2}- b^{2} - 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

- 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

- 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

- 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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**WORD PROBLEMS**

**Word problems on simple equations **

**Word problems on linear equations **

**Word problems on quadratic equations**

**Area and perimeter word problems**

**Word problems on direct variation and inverse variation **

**Word problems on comparing rates**

**Converting customary units word problems **

**Converting metric units word problems**

**Word problems on simple interest**

**Word problems on compound interest**

**Word problems on types of angles **

**Complementary and supplementary angles word problems**

**Trigonometry word problems**

**Markup and markdown word problems **

**Word problems on mixed fractrions**

**One step equation word problems**

**Linear inequalities word problems**

**Ratio and proportion word problems**

**Word problems on sets and venn diagrams**

**Pythagorean theorem word problems**

**Percent of a number word problems**

**Word problems on constant speed**

**Word problems on average speed **

**Word problems on sum of the angles of a triangle is 180 degree**

**OTHER TOPICS **

**Time, speed and distance shortcuts**

**Ratio and proportion shortcuts**

**Domain and range of rational functions**

**Domain and range of rational functions with holes**

**Graphing rational functions with holes**

**Converting repeating decimals in to fractions**

**Decimal representation of rational numbers**

**Finding square root using long division**

**L.C.M method to solve time and work problems**

**Translating the word problems in to algebraic expressions**

**Remainder when 2 power 256 is divided by 17**

**Remainder when 17 power 23 is divided by 16**

**Sum of all three digit numbers divisible by 6**

**Sum of all three digit numbers divisible by 7**

**Sum of all three digit numbers divisible by 8**

**Sum of all three digit numbers formed using 1, 3, 4**

**Sum of all three four digit numbers formed with non zero digits**