Data :

In math data means combinations of items organized in rows and multiple variables organized in columns. Data are results of measurements and can be visualized using graphs and charts.

Decade :

Decade is a period of 10 years. For example, decade of the 20th century.

Decagon :

A polygon having 10 angles and 10 sides.

Decahedron :

In geometry, decahedron is a polyhedron with 10 faces.

Decimal :

Decimal is a real number system based on 10. Examples are Roman numerals, Brahmi, numerals, Hindu-Arabic numerals and Chinese numerals.

Denominator :

The lower part of the fraction is called denominator.

For example, in 3/4, 4 is the denominator.

Deductive proof and deductive reasoning :

In number theory, proof based on logical arguments that is justified by axioms or theorems. Deductive reasoning showing certain statements follow logically some stated assumptions.

A line segment that connects two non-consecutive vertices of a polygon.AC and BD are diagonals of the square ABCD.

Division :

Division is nothing but splitting in to equal parts. Let us consider the following example.

Example :

There are 8 biscuits, and 4 friends want to share them, how do they divide the biscuits ?

Divisibility Test :

Divisibility Test is the topic in which we are going to see the shortcuts to predict one number is divisible by another number with out doing too much calculation.

Disjoint Sets :

Two or more sets are said to be disjoint if they have no common elements.Disjoint-sets are also known as non overlapping sets.

For example :

A = {2, 4, 6, 8} and B = {1, 3, 5, 7}. Here A and B have no common element. So A and B are disjoint sets.

Day Arithmetic :

Day Arithmetic is one of the important topic which is given some considerable weight age in SAT exam and other competitive exams.

If the divisor m = 7, then the arithmetic modulo 7 is called the day clock arithmetic. The remainders are 0, 1, 2, 3, 4, 5, 6 correspond to week days Sunday, Monday, Tuesday, Wednesday, Thursday and so on.

Different forms of numbers :

In mathematics we have different forms of numbers. The classification of numbers are natural number, whole number,Integer, fractions, decimals, percents, irrational and rational numbers, real numbers and complex numbers.

Distance Between Two Points  :

Distance Between Two Points (x1, y1) and (x2 , y2)

√(x2 - x1)² + (y2 - y₁)²

Double angle formula :

sin 2A  =  2 sin A cos A

sin 2A  =  2 tan A/(1 + tan² A)

cos 2A  =  cos²A - Sin²A

cos 2A  =  1 - 2sin²A

cos 2A  =  2cos²A - 1

cos 2A  =  (1 - tan²A)/(1 + tan² A)

tan 2A  =  2 tan A/(1 - tan² A)

sin²A = (1 - cos 2A)/2

cos²A = (1 + cos 2A)/2

Division of Polynomials :

Division of polynomials involves two cases, the first one is simplification,which is reducing the fraction and the second one is long division.

Diameter :

Diameter is the line which connect two ends of the circle and passing through the center.

De Moivre's theorem :

The process of mathematical induction can be used to prove a very important theorem in mathematics known as De Moivre's theorem.

If the complex number z = r(cos α + i sin α), then

Distance between parallel lines :

We can use the the following to find the distance between two parallel lines ax + by + c1 = 0 and ax + by + c2 = 0

|c1 - c2|/√(a2 + b2)

Diagonal matrix :

In a diagonal matrix all the entries along the diagonal are zero.

Direct variation :

When two quantities are said to be in direct variation if one quantity increases,then the other also increases or when one quantity decreases,the other also decreases.

Definite integrals :

A basic concept of integral calculus is limit. Generally the concept integration is used to find area between curves within certain limit.

Differentiation of Implicit Function :

When the relation between x and y is given by an equation in the form of f(x, y)  =  0 and the equation is not easily solvable for y, then y is said to be implicit function.

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Variables and constants

Writing and evaluating expressions

Solving linear equations using elimination method

Solving linear equations using substitution method

Solving linear equations using cross multiplication method

Solving one step equations

Solving quadratic equations by factoring

Solving quadratic equations by quadratic formula

Solving quadratic equations by completing square

Nature of the roots of a quadratic equations

Sum and product of the roots of a quadratic equations 

Algebraic identities

Solving absolute value equations 

Solving Absolute value inequalities

Graphing absolute value equations  

Combining like terms

Square root of polynomials 

HCF and LCM 

Remainder theorem

Synthetic division

Logarithmic problems

Simplifying radical expression

Comparing surds

Simplifying logarithmic expressions

Negative exponents rules

Scientific notations

Exponents and power


Quantitative aptitude

Multiplication tricks


Aptitude test online


Test - I

Test - II


Horizontal translation

Vertical translation

Reflection through x -axis

Reflection through y -axis

Horizontal expansion and compression

Vertical  expansion and compression

Rotation transformation

Geometry transformation

Translation transformation

Dilation transformation matrix

Transformations using matrices





Converting customary units worksheet

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Complementary and supplementary word problems worksheet

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Sum of the angles in a triangle is 180 degree worksheet

Types of angles worksheet

Properties of parallelogram worksheet

Proving triangle congruence worksheet

Special line segments in triangles worksheet

Proving trigonometric identities worksheet

Properties of triangle worksheet

Estimating percent worksheets

Quadratic equations word problems worksheet

Integers and absolute value worksheets

Decimal place value worksheets

Distributive property of multiplication worksheet - I

Distributive property of multiplication worksheet - II

Writing and evaluating expressions worksheet

Nature of the roots of a quadratic equation worksheets

Determine if the relationship is proportional worksheet



Trigonometric ratio table

Problems on trigonometric ratios

Trigonometric ratios of some specific angles

ASTC formula

All silver tea cups

All students take calculus 

All sin tan cos rule

Trigonometric ratios of some negative angles

Trigonometric ratios of 90 degree minus theta

Trigonometric ratios of 90 degree plus theta

Trigonometric ratios of 180 degree plus theta

Trigonometric ratios of 180 degree minus theta

Trigonometric ratios of 180 degree plus theta

Trigonometric ratios of 270 degree minus theta

Trigonometric ratios of 270 degree plus theta

Trigonometric ratios of angles greater than or equal to 360 degree

Trigonometric ratios of complementary angles

Trigonometric ratios of supplementary angles 

Trigonometric identities 

Problems on trigonometric identities 

Trigonometry heights and distances

Domain and range of trigonometric functions 

Domain and range of inverse  trigonometric functions

Solving word problems in trigonometry

Pythagorean theorem


Mensuration formulas

Area and perimeter



Types of angles 

Types of triangles

Properties of triangle

Sum of the angle in a triangle is 180 degree

Properties of parallelogram

Construction of triangles - I 

Construction of triangles - II

Construction of triangles - III

Construction of angles - I 

Construction of angles - II

Construction angle bisector

Construction of perpendicular

Construction of perpendicular bisector

Geometry dictionary

Geometry questions 

Angle bisector theorem

Basic proportionality theorem


Analytical geometry formulas

Distance between two points

Different forms equations of straight lines

Point of intersection

Slope of the line 

Perpendicular distance


Area of triangle

Area of quadrilateral



Matrix Calculators

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Missing addend 

Double facts 

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Direct proportion and inverse proportion

Constant of proportionality 

Unitary method direct variation

Unitary method inverse variation

Unitary method time and work


Order of rotational symmetry

Order of rotational symmetry of a circle

Order of rotational symmetry of a square

Lines of symmetry


Converting metric units

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HCF and LCM  word problems

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Percentage word problems 

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Decimal word problems

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Time and work word problems

Word problems on sets and venn diagrams

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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


Profit and loss shortcuts

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Times table shortcuts

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Ratio and proportion shortcuts

Domain and range of rational functions

Domain and range of rational functions with holes

Graphing rational functions

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

Sum of all three four digit numbers formed using 0, 1, 2, 3

Sum of all three four digit numbers formed using 1, 2, 5, 6