MATH TERMS STARTING WITH C

Calculator :

An electronic device which does mathematical calculations accurately with a great speed.

Calculus :

Branch of mathematics dealing with derivatives and integrals. The study of motion in which change of values are discussed.

Capacity :

The amount a container holds. For example capacity of a container or tanker.

Cardinal number :

Cardinal number is the number that denotes quantity of something.

Cartesian coordinate :

An ordered pair of real numbers which denotes the location of a point on a graph.

Cartesian plane :

A set of all Cartesian points. It consists of two direct lines that perpendicularly intersect at their respective zeros. The horizontal line is x axis and the vertical line is y axis. The point of intersection is called origin

Celsius :

Celsius is a temperature scale which is used to tell about the temperature of the body. It is often written as ⁰C. Water boils at 100⁰ C and becomes ice(freezes) at 0⁰ C.

Census :

Census is the systematic procedure of collecting all information about a population.

Cent :

Cent is the smallest value of money in some countries. In Australia, Canada and US 100 cents makes one dollar.

Center :

Middle part of an object. Here you can see center of the circle.

Centrigrade :

Centigrade is another name for Celsius.

Centimeter :

A unit of measuring length in metric system. One hundredth of a meter is one centimeter.

Centroid of the Triangle :

There are three medians of the triangle and they are concurrent at a point O, that point is called the centroid of a triangle.

In the following diagram O is the centroid of ABC. Now let us look into the formula.

Circumcentre of the Triangle :

The point of concurrency of the perpendicular bisector of the sides of a triangle is called the circumcentre of the triangle. The circumcentre is denoted by S.

Circle :

Circle is a closed curve in which all the points on the curve lie at a equal distance from the fixed point called as the center.

Century is a Latin word, denoting 100 consecutive years.

Chord :

A straight line joining two points on the circumference of the circle.

Circumference of Circle :

Another term of Perimeter of a circle is known as circumference of a circle

Circumference of circle  =  2Πr

Cylinder :

A geometrical shape with two parallel straight sides having two circular parts such that one is at the top and the other is at bottom.

Classification of data :

Classification of data is the categorization of data for its most effective use. The process of arranging into homogenous group or classes according to some common characteristics is called classification.

Concurrency of Straight Lines :

If three or more straight lines passing through the same point then that common point is called the point of concurrency.

Compound Angles :

Compound angles is the combination of two angles

sin (A+B) = sin A cos B + cos A sin B

sin (A+B) = sin A cos B + cos A sin B

cos (A+B) = cos A cos B - sin A sin B

cos (A-B) = cos A cos B + sin A sin B

tan (A+B) = (tan A + tan B) / (1 - tan A tan B)

tan (A-B) = (tan A - tan B) /(1 + tan A tan B)

If sum of two angles be 90 degree then we can say both are complement to each other. Complementary angles in trigonometry are

sin (90 - θ) = cos θ

cos (90 - θ) = sin θ

tan (90 - θ) = cot θ

cot (90 - θ) = tan θ

cosec (90 - θ) = sec θ

Sec (90 - θ) = cosec θ

Closure Property :

A set is said to be closed under an operation, if and only if the operations on two elements of the set produces another element which is also in the set. If it is not an element of the same set, then it is not closed.

In other words, if a and b are two elements of set A and * is an operation then a*b must be an element in A

Now addition of 3 and -9 is 3 + (-9)  =  -6 which is also an integer. So addition of two integers is closed.

Commutative Property :

Commutative property states that operation like addition and multiplication can be done in any order.

In other words, if a and b are elements of set A and * is the operation, then a*b = b*a is the commutative property.

Compound Interest :

In compound interest the interest also earns an interest. Money is said to be lent in this when at the end of a year or other fixed period the interest that has become due is added top the sum and amount becomes the principal for the next period.

This process should be repeated until the amount for the last period has been found. The difference between final amount and the original principal is called the C.I

The formula given below can be used to find accumulated value in C.I.

A  =  P(1+i)

A  =  Accumulated value (final value of an investment) 
P  =  Principal (initial value of an investment)

Collinear :

If two or more points lies on the same line then it is said to the points are collinear.

Cost Price :

Cost price is also a price in which good are purchased.

Coefficients :

Coefficient is the number with symbol which is in front of the the variable.

For example the coefficient of -5x² is -5.

Cube of a number :

When a number is multiplied by three times, the product is called as cube of the number

For example,

  2  =  8. Now 8 is called cube of 2.

Cube root of a number :

If a is a natural number such that a3 = N,then a is said to be the cube root of N.

Example :

∛ 8  =  ∛(2  2  2)  =  2

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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