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 Vocabulary 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

volt [noun]

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

rpm [noun]

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

karat [noun]

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

Ex: When purchasing a wedding band , they decided on a 14 karat gold ring , finding it more durable for everyday wear due to its alloy composition .

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

hertz [noun]

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

a unit for measuring an engine's power

Ex: One mechanical horsepower is equivalent to 550 foot-pounds per second , or approximately 745.7 watts .
pint [noun]

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

Ex: The bartender poured a pint of stout into the glass .
cube [noun]

the result of multiplying a number by itself three times

Ex:
square [noun]

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

a number that produces a particular number when multiplied by itself

variable [noun]

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

Ex: Scientists use variables to model complex systems and analyze how different factors affect outcomes .

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 tailor used a tape measure to take precise measurements for the custom-made suit .
array [noun]

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

Ex: The scientist analyzed an array of temperature readings .
axis [noun]

the central point or line around which an object turns

Ex: The planet 's tilt on its axis causes the seasons .
calculus [noun]

the branch of mathematics that comprises differentials and integrals

Ex: Calculus helps in solving problems involving motion and growth .

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

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

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

Ex: In chaos theory , even simple systems can behave in complex and unpredictable ways .

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 can help in strategic planning for sports teams .

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

Ex:
gradient [noun]

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

Ex: The slope of the curve represents the gradient of the function .

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

Ex: The number 15 is not a prime number ( divisible by 3 and 5 ) .

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

Ex: Irrational numbers can not be written as simple fractions .

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: 2/3 is a rational number since it represents the division of two integers , -2 and 3 , and the result is a finite value .
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: In the data set { 2 , 4 , 6 , 8 } , the mean is 5 .

the total length of the external boundary of something

Ex: The farmer used a long measuring tape to determine the perimeter of his rectangular cornfield before installing a new fence .
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 .
sine [noun]

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

cosine [noun]

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

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

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

ampere [noun]

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

Ex: The household wiring is capable of carrying a certain number of amperes , preventing overloads .

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:

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 .

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

Ex:
pound [noun]

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

Ex: The recipe called for two pounds of flour to make a large batch of bread .