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Advanced Vocabulary for TOEFL - Mathematics and Measurement

Here you will learn some English words about mathematics and measurement, such as "amp", "hertz", "horsepower", etc. that are needed for the TOEFL exam.

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Advanced Words Needed for TOEFL
watt
watt
[noun]

the standard unit for measuring electrical power corresponding to the rate of energy consumption in an electric circuit, equal to one joule per second

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volt
volt
[noun]

the standard unit of electromotive force, which measures the strength of an electrical current that is sent around an electrical system

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rpm
rpm
[noun]

a unit for measuring the speed of an engine, a computer hard drive, etc.

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karat
karat
[noun]

a unit to measure the purity of gold, the purest gold being 24 karats

Ex: The jeweler confirmed that the necklace was made of 18 karat gold, which is 75% pure gold mixed with other metals for added strength. 
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fluid ounce

a unit of volume used in the United States to measure liquids, equal to approximately 29.5735 milliliters

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hertz
hertz
[noun]

a unit that is used in measurement of the frequency of sound and radio waves

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horsepower

a unit for measuring an engine's power

Ex: Horsepower is a unit of power used to measure the rate at which work is done. 
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pint
pint
[noun]

a measure equal to 16 fluid ounces, often used for measuring liquids such as beer or milk

Ex: I'll have a pint of beer, please. 
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cube
cube
[noun]

the result of multiplying a number by itself three times

Ex: The cube of two is eight. 
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square
square
[noun]

the second exponent of any given number produced when multiplied by itself

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square root

a number that produces a particular number when multiplied by itself

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variable
variable
[noun]

(mathematics) a quantity that is capable of assuming different values in a calculation

Ex: In algebra, variables such as x, y, and z represent quantities that can vary or change in value. 
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tape measure

a flexible measuring tool consisting of a long strip of metal, cloth, or plastic with measurement markings, used to measure lengths and distances accurately

Ex: The carpenter used a tape measure to determine the length of the wooden board needed for the shelf. 
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array
array
[noun]

a group of numbers, mathematical symbols or values, arranged in columns and rows

Ex: The program stores values in a two-dimensional array. 
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axis
axis
[noun]

the central point or line around which an object turns

Ex: The Earth spins on its axis once every twenty-four hours. 
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calculus
calculus
[noun]

the branch of mathematics that comprises differentials and integrals

Ex: Calculus is used to find the area under a curve. 
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denominator

the number below the line in a fraction that shows how many parts the numerator divides into

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numerator
numerator
[noun]

Fractional number above the line

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common denominator

(mathematics) a number divisible by all the numbers that are below the line in a set of fractions

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chaos theory

(mathematics) an interdisciplinary theory about complex systems that obey particular laws but appear to have little or no order

Ex: Chaos theory explains how small changes can lead to huge differences in complex systems. 
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game theory

a branch of mathematics that studies the strategies of dealing with competitive situations involving conflict of interests, especially in business, war, etc.

Ex: Game theory helps businesses decide on the best pricing strategies. 
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coordinate

any set of numbers that represents an exact position on a map or graph

Ex: The GPS coordinates 35.6895° N, 139.6917° E lead to Tokyo. 
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gradient
gradient
[noun]

the rate at which a quantity or dimension changes over a given distance or interval

Ex: The gradient of the river’s flow affects its speed. 
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prime number

a number greater than 1 with only two devisors which can be itself or 1

Ex: 7 is a prime number because its only divisors are 1 and 7. 
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cardinal number

a number indicating the quantity and not order

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irrational number

a number incapable of being expressed as a ratio of two integers

Ex: The square root of 2 is an irrational number. 
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rational number

a number that can be written as a fraction, where both the top and bottom are whole numbers, and the bottom is not zero

Ex: 3/4 is a rational number because it can be written as a fraction of two integers. 
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mean
mean
[noun]

(mathematics) the average value of a set of quantities calculated by adding them, and dividing them by the total number of the quantities

Ex: To find the mean of 4, 6, and 8, add them together and divide by 3. 
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perimeter
perimeter
[noun]

the total length of the external boundary of something

Ex: The geometry student calculated the perimeter of the rectangular garden to determine how much fencing would be needed. 
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tangent
tangent
[noun]

(mathematics) the ratio of the opposite to the adjacent side of a triangle that has one angle of 90°

Ex: If the tangent of an angle is 1, it means the height and base of our triangle are the same. 
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sine
sine
[noun]

(mathematics) the ratio of the length of the side opposite the given angle to the length of the hypotenuse

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cosine
cosine
[noun]

(mathematics) the ratio of the adjacent side to the hypotenuse

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cotangent
cotangent
[noun]

the ratio of the side adjacent to a particular acute angle to the side opposite the angle, in a right-angled triangle

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foot per second

a unit of measurement used to determine the speed or velocity of something

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ampere
ampere
[noun]

the unit of electric current, symbolized as "A" in the International System of Units

Ex: The circuit was designed to handle a maximum current of 10 amperes to ensure safety. 
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kilometers per hour

a unit of measurement used to express speed or velocity in the metric system, representing the distance traveled in kilometers over the course of one hour

Ex: The car was traveling at 100 km/h. 
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centiliter

a metric unit equal to 1/100th of a liter

Ex: Students had to weigh and record the volume of 10 centilitres of water for a science experiment. 
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degree Celsius

a temperature scale where 0°C represents the freezing point and 100°C represents the boiling point of water at standard atmospheric pressure

Ex: Water freezes at 0 degrees Celsius. 
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pound
pound
[noun]

a unit for measuring weight equal to 16 ounces or 0.454 kilograms

Ex: She bought a pound of coffee beans to grind fresh for her morning cup of coffee. 
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