MATH TERMS STARTING WITH A

AAA similarity test :

This is one of the three ways to test that two triangles are similar. 

Two triangles are said to be similar if the measure of three interior angles in one triangle are the same as the corresponding angles in another.

Here ∠A and ∠R∠B and ∠Q∠C and ∠R are equal.

AAS congurence :

This is one of the way to test the congruency of the triangles. It states that, Two triangles are said to be congruent, if two adjacent angles, and a side of one triangle are congruent with the corresponding angles and side of the other triangle.

Abacus :

Abacus is a counting tool used for early learners of math. It is also called as adding machine. It is a belief that this adding machine was used by early Aztecs in 300 BC. It is helping us in acquiring the ability to calculate accurately as well as rapidly.

It is helping us to improve our ability to calculate mentally in more efficient manner. It helps provides concrete understanding of counting such as addition, subtraction, multiplication and division.

Absolute Value :

The absolute value of a number is its distance from 0 on a number line.

For example, the number 5 and -5 is 5 units away from zero. So its absolute value is 5 and -5 is 5.

|5| = 5  and |-5| = -5

Angle :

An angle is nothing but the figure which is formed by the two rays, which are called as the two sides of that particular angle. Those two rays would have a common end endpoint which is known as vertex of that particular angle.math terms startingwith a.

Acute Angle :

The angle which is less than 90 degree is called Acute angle. 30°, 45° and 75°are some examples of acute angle.

Alternate interior :

<1 and <2 are alternate interior angles and <3 and <4 are alternate interior angles and they are equal.

Alternate exterior angles :

<1 and <2 are alternate exterior angles and <3 and <4 are alternate exterior angles and they are equal.

Adjacente angles :

Refers to a pair of angles, that share a common vertex and side did not overlap. When referring to polygons, two interior angles that share a common side are also called as adjacent angles. It can also be called as adjacent interior angles of the polygon.

Altitude :

Height of an object above sea level.



Average Rate of Change :

The change in the value of a quantity divided by the elapsed time. For a function, this is the change in the y-value divided by the change in the x-value for two distinct points on the graph.

Axis of symmetry :

The graph of a quadratic function is a parabola. The axis of symmetry of a parabola is a vertical line that divides the parabola into two congruent halves. The axis of symmetry always passes through the vertex of the parabola . The x -coordinate of the vertex is the equation of the axis of symmetry of the parabola.

Angle of Elevation :

The angle of elevation is an angle formed by the line of sight with the horizontal when the point being viewed is above the horizontal level. That is, the case when we raise our head to look at the object.

Angle of depression :

The angle of depression is the angle between the horizontal line and the observation of the object from the horizontal line If the object observed by the observer is below the level of the observer, then the angle formed between the horizontal line and the observer's line of sight is called the angle of depression.

Angle between two lines :

Angle lies between two lines is called angle between two lines.

θ = tan-1 |(m₁ - m₂)/(1 + m₁ m₂)|

Arc length :

Arc length of a sector is the length of the portion on the circumference of the circle intercepted between the bounding radii and is denoted by l.

Formula to find the length of the arc is 

 l  =  (θ/360°) x 2πr

Adjoint matrix :

In matrix adjoint refers to the transpose of co factor of the given matrix. It is denoted as adjA for a matrix A.

Algebra :

Algebra is a branch of math in which we use letters in the place of unknown values.

Algorithm :

Explains how to solve a problem step by step instructions. You can understand how to take square root for any number you can refer the page square root algorithm.

Alpha :

The first alphabet of ancient Greece which is used in math and science.

Area :

Area is nothing but the quantity which exposes the extension of two dimensional surfaces. This is one of the most important sub topics.

Associative property :

Associative property deals with grouping of elements under any operation. In other words, if a, b and c are elements of set A, and * is the operation, then

a*(b*c) = (a*b)*c

Additive Inverse :

In mathematics, the additive inverse of a number a is the number that, when added to a, yields zero. This number is also known as the opposite (number), sign change, and negation

Additive inverse of -5 is 5.

Arithmetic sequence :

A sequence is said to be an arithmetic sequence if the difference of each term, except the first one, from its preceding is always same.

Arithmetic series :

Arithmetic series is nothing but sum of arithmetic terms.

5 + 10 + 15 + 20 +.........

Arithmetic mean :

Arithmetic mean means the sum of the given data, divided by the total values of the set.

Asymptotes :

An asymptote to a curve is the tangent to the curve such that the point of contact is at infinity.

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ALGEBRA

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

COMPETITIVE EXAMS

Quantitative aptitude

Multiplication tricks

APTITUDE TESTS ONLINE

Aptitude test online

ACT MATH ONLINE TEST

Test - I

Test - II

TRANSFORMATIONS OF FUNCTIONS

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

ORDER OF OPERATIONS

BODMAS Rule

PEMDAS Rule

WORKSHEETS

Converting customary units worksheet

Converting metric units worksheet

Decimal representation worksheets

Double facts worksheets

Missing addend worksheets

Mensuration worksheets

Geometry worksheets

Comparing  rates worksheet

Customary units worksheet

Metric units worksheet

Complementary and supplementary worksheet

Complementary and supplementary word problems worksheet

Area and perimeter worksheets

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

TRIGONOMETRY

SOHCAHTOA

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

Mensuration formulas

Area and perimeter

Volume

GEOMETRY

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

Analytical geometry formulas

Distance between two points

Different forms equations of straight lines

Point of intersection

Slope of the line 

Perpendicular distance

Midpoint

Area of triangle

Area of quadrilateral

Parabola

CALCULATORS

Matrix Calculators

Analytical geometry calculators

Statistics calculators

Mensuration calculators

Algebra calculators

Chemistry periodic calculator

MATH FOR KIDS

Missing addend 

Double facts 

Doubles word problems

LIFE MATHEMATICS

Direct proportion and inverse proportion

Constant of proportionality 

Unitary method direct variation

Unitary method inverse variation

Unitary method time and work

SYMMETRY

Order of rotational symmetry

Order of rotational symmetry of a circle

Order of rotational symmetry of a square

Lines of symmetry

CONVERSIONS

Converting metric units

Converting customary units

WORD PROBLEMS

HCF and LCM  word problems

Word problems on simple equations 

Word problems on linear equations 

Word problems on quadratic equations

Algebra word problems

Word problems on trains

Area and perimeter word problems

Word problems on direct variation and inverse variation 

Word problems on unit price

Word problems on unit rate 

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

Double facts word problems

Trigonometry word problems

Percentage word problems 

Profit and loss word problems 

Markup and markdown word problems 

Decimal word problems

Word problems on fractions

Word problems on mixed fractrions

One step equation word problems

Linear inequalities word problems

Ratio and proportion word problems

Time and work word problems

Word problems on sets and venn diagrams

Word problems on ages

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 

Profit and loss shortcuts

Percentage shortcuts

Times table shortcuts

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

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