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Vocabulary for IELTS (Academic) - Mathematics and Statistics

Here you will learn some English words about cause and effect, such as "deduction", "vertical", "segment", etc. that are needed for the IELTS exam.

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Words for Academic IELTS
graph
graph
[noun]

a visual representation of the relationship between quantities, shown as points plotted relative to axes

Ex: The teacher drew a graph to show the students' test scores. 
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sign
sign
[noun]

the property of a number indicating whether it is positive or negative, excluding zero

Ex: The sign of 5 is positive. 
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deduction
deduction
[noun]

the action or process of taking an amount away from a total

Ex: Deduction helps calculate how much is left after spending money. 
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mathematically

in accordance with mathematical rules

Ex: The solution to the problem was mathematically accurate. 
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mathematician

someone who is a specialist or expert in mathematics

Ex: The mathematician worked late into the night on his latest theory. 
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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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probability

(mathematics) a number representing the chances of something specific happening

Ex: The probability of rolling a six on a fair die is one-sixth. 
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problem
problem
[noun]

a question that can be answered by mathematics or logical thinking

Ex: In the competition, each team had to solve the same set of problems 
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scale
scale
[noun]

the size, amount, or degree of one thing compared with another

Ex: The scale of the earthquake was so immense that it caused widespread damage across the region. 
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square
square
[noun]

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

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vertical
vertical
[Adjective]

positioned at a right angle to the horizon or ground, typically moving up or down

Ex: The skyscraper's vertical lines gave it a sleek and modern appearance. 
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set
set
[noun]

(mathematics) a group of things that belong together because of having some similarities

Ex: A set can include numbers, letters, or other items that share a common feature. 
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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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bracket
bracket
[noun]

each of the two symbols [ ] used to indicate that the enclosed numbers or words should be considered separately

Ex: In mathematical expressions, brackets [ ] are used to group terms or indicate priority in operations. 
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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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to deduce
to deduce
[Verb]

to determine by a process of logical reasoning

Ex: From the evidence presented, the detective deduced the likely sequence of events. 
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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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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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ratio
ratio
[noun]

the result of dividing one number, quantity, or expression by another

Ex: The ratio of 10 to 2 is 5. 
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segment
segment
[noun]

(geometry) a part of a circle that is separated from the rest by a line

Ex: A circle is divided into several segments by two radii and the arc between them. 
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asymmetric
asymmetric
[Adjective]

not having identical parts facing each other or around an axis

Ex: The asymmetric shape of the abstract sculpture challenged viewers' perceptions, with its irregular forms and angles. 
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induction
induction
[noun]

the process of deriving a general principle from specific observations or instances

Ex: Scientists used induction to conclude that all swans in the region were white. 
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to divide
to divide
[Verb]

(mathematics) to calculate how many times a number contains another number

Ex: If you divide 10 by 2, you get 5. 
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percentage

a number or amount expressed as a fraction of 100

Ex: The percentage of students who passed the exam increased significantly this year. 
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algebra
algebra
[noun]

a branch of mathematics in which abstract letters and symbols represent numbers in order to generalize the arithmetic

Ex: In high school, students typically begin studying algebra to learn about equations and variables. 
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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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geometry
geometry
[noun]

the branch of mathematics that deals with the relation between the lines, angles and surfaces or the properties of the space

Ex: She studied geometry to understand the principles of shapes and angles. 
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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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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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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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normal distribution

a function that shows the probability of variables in a symmetrical and bell-shaped graph

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correlation coefficient

(statistics) a measure used to show how strong is the relationship between two sets of data or variables

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dependent variable

(statistics) a variable whose value is determined by the value of another variable in a function

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