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Essential Vocabulary for TOEFL - Mathematics and Measurement

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

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Essential Words Needed for TOEFL
calculation

the process of using mathematics to determine a number, amount, or result

Ex: Emma made a quick calculation to estimate the cost of the trip. 
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arithmetic

a branch of mathematics that deals with addition, subtraction, multiplication, etc.

Ex: Students in elementary school learn basic arithmetic operations such as addition, subtraction, multiplication, and division. 
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mathematical
mathematical
[Adjective]

related to or used in mathematics

Ex: She employed mathematical equations to solve complex problems in physics. 
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numerical
numerical
[Adjective]

represented in numbers

Ex: The numerical values of the measurements were recorded in a spreadsheet. 
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ordinal number

a number that indicates the position of something in a sequence or series

Ex: "First" is an example of an ordinal number. 
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measure
measure
[noun]

the quantity, amount, or degree of something

Ex: The measure of sugar needed for the recipe is two cups. 
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value
value
[noun]

(mathematics) an amount that is shown by a sign or letter

Ex: In algebra, variables represent unknown values that can be determined through equations. 
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fraction
fraction
[noun]

a number expressed as one quantity divided by another, especially one written with a numerator and denominator

Ex: Three quarters can be written as the fraction 3/4. 
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digit
digit
[noun]

one of the numbers from 0 to 9

Ex: My phone number starts with the digit 3, making it easy to remember. 
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diameter
diameter
[noun]

a straight line passing through the center of a circle or other round object from one side to the other, or the length of that line

Ex: The circle has a diameter of twelve centimeters. 
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equation
equation
[noun]

(mathematics) a statement indicating the equality between two values

Ex: In algebra, solving equations involves finding the values of variables that satisfy the equality stated. 
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parallel
parallel
[Adjective]

having an equal distance from each other at every point

Ex: The two lines on the graph are parallel, indicating no change in their relationship. 
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decimal
decimal
[Adjective]

relating to a system of numbers based on powers of ten, where quantities are expressed using digits, including fractions and whole numbers

Ex: In the decimal system, numbers are represented using digits from 0 to 9, with each place value indicating a power of ten. 
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vertical
vertical
[Adjective]

positioned or extending straight up and down at a right angle to a horizontal surface

Ex: The architect added a vertical window beside the front door. 
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width
width
[noun]

the measurement of something from one side or edge to the other

Ex: Sarah measured the width of the doorway before ordering the cabinet. 
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unit
unit
[noun]

a standard measure used to tell the amount of something

Ex: A dozen is a unit of twelve items. 
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function
function
[noun]

(mathematics) a quantity whose value changes according to another quantity's varying value

Ex: In calculus, a function represents a relationship between input and output variables, often denoted as f(x). 
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circumference

(geometry) the length of the external boundary of a curved shape, especially a circle

Ex: The formula for finding the circumference of a sphere involves multiplying the diameter by π (pi). 
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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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probability

a mathematical measure of how likely an event is to occur, expressed as a number between zero and one

Ex: The probability of rolling a six is one in six. 
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dimension
dimension
[noun]

a measurement of something in a particular direction, such as its length, width, height, or depth

Ex: The table's largest dimension is its length. 
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to subtract

(mathematics) to take a number from another number and find out the difference

Ex: If you subtract 4 from 9, you get 5. 
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to total
to total
[Verb]

to add up numbers or quantities to find the overall amount

Ex: To total the expenses, add up all the receipts from the business trip. 
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cubic
cubic
[Adjective]

indicating a unit of measurement that includes volume of a cube

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ounce
ounce
[noun]

a unit of weight equal to 1/16 of a pound or about 28.35 grams

Ex: The recipe called for four ounces of flour. 
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gallon
gallon
[noun]

a unit of liquid volume equal to 4 quarts or about 3.785 liters

Ex: She bought a gallon of milk from the grocery store. 
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bar chart
bar chart
[noun]

a graphical display of information consisting of narrow rectangular lines whose heights depend on the value that they are representing

Ex: The bar chart compared the sales of different products last year. 
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pie chart
pie chart
[noun]

a graphical display of the difference between the parts of a whole shown by dividing a circle into several segments

Ex: The pie chart showed that 40% of our budget is allocated to marketing. 
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acre
acre
[noun]

a unit of area equal to 4,840 square yards or about 4,047 square meters, used especially for measuring land

Ex: The farm covers more than 200 acres. 
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formula
formula
[noun]

(mathematics) a rule or law represented in symbols, letters, or numbers

Ex: The quadratic formula provides a method for finding the roots of a quadratic equation. 
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accountant

a person whose job is to prepare, keep, or examine financial records and accounts

Ex: She works as an accountant for a small technology company. 
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analyst
analyst
[noun]

a person whose job is to examine information or a particular subject in detail and interpret or evaluate it

Ex: Financial analysts expect the company to report higher profits this year. 
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