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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
[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
[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
[noun]

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

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karat
[noun]

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

Ex: The appraisal for the vintage watch noted that its case was crafted from 10 karat gold , indicating a gold content of just over 40 % .
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a unit of volume used in the United States to measure liquids, equal to approximately 29.5735 milliliters

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hertz
[noun]

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

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a unit for measuring an engine's power

Ex: The horsepower of an engine affects its acceleration and towing capacity , influencing vehicle performance and utility .
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pint
[noun]

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

Ex: She bought a pint of chocolate milk for her afternoon snack .
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cube
[noun]

the number that is the result of a number multiplied by itself three times

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square
[noun]

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

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a number that produces a particular number when multiplied by itself

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variable
[noun]

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

Ex: In statistical analysis , variables can be classified as independent or dependent , depending on their role in the study .
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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 surveyor used a laser tape measure for accurate distance measurements in the field .
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array
[noun]

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

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axis
[noun]

a real or imaginary line about which an object rotates

Ex: The machine 's parts turn around a specific axis for smooth operation .
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calculus
[noun]

the branch of mathematics that comprises differentials and integrals

Ex: Differential equations are a key topic within calculus.
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the number below the line in a fraction that shows how many parts the numerator divides into

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numerator
[noun]

Fractional number above the line

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

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

Ex: Chaos theory is used to analyze complex systems like ecosystems and population dynamics .
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a branch of mathematics that studies the strategies of dealing with competitive situations involving conflict of interests, especially in business, war, etc.

Ex: Economists apply game theory to predict market behavior .
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any set of numbers that represents an exact position on a map or graph

Ex: The drone was programmed to fly to specific coordinates.
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gradient
[noun]

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

Ex: The gradient of the city 's elevation was marked on the map .
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a number greater than 1 with only two devisors which can be itself or 1

Ex: The largest known prime number ( as of 2023 ) has over 24 million digits .
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a number indicating the quantity and not order

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

Ex: The square root of 3 is an irrational number because it can not be written as a fraction .
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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: 7/8 is a rational number because it can be expressed as the fraction of two integers .
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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: The mean of the test results was used to assess overall student achievement .
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perimeter
[noun]

the total length of the external boundary of something

Ex: The science project required students to build a model volcano and measure the perimeter of its base for stability analysis .
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tangent
[noun]

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

Ex: When the sun is setting , you can use the tangent to figure out the angle the sun makes with the horizon .
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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
[noun]

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

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

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ampere
[noun]

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

Ex: The laboratory equipment required a precise current control, and the power supply was set to 1 ampere for accurate experimentation.
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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 train runs at an average of 200 kilometers per hour.
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a metric unit equal to 1/100th of a liter

Ex: We calibrated the new pipettes by transferring known volumes of 5 , 10 and 25 centiliters of distilled water .
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a temperature scale where 0°C represents the freezing point and 100°C represents the boiling point of water at standard atmospheric pressure

Ex: In some countries, room temperatures are commonly measured and regulated in degrees Celsius.
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pound
[noun]

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

Ex: The suitcase exceeded the airline 's weight limit by a few pounds, requiring an additional fee .
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Advanced Vocabulary for TOEFL
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