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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 graph revealed a steady increase over time .
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sign
sign
[noun]

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

Ex: Determining the sign of a number is essential in calculations .
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deduction
deduction
[noun]

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

Ex: In a budget , a deduction shows expenses taken away from the total income .
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mathematically

in accordance with mathematical rules

Ex: The trajectory of the projectile was calculated mathematically, considering factors such as velocity and angle .
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mathematician

someone who is a specialist or expert in mathematics

Ex: The mathematician used a computer program to analyze the data more quickly.
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parallel
parallel
[Adjective]

having an equal distance from each other at every point

Ex: The railroad tracks are parallel to each other .
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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 out of six .
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problem
problem
[noun]

a question that can be answered by mathematics or logical thinking

Ex: This math problem seems hard , but I think I can solve it .
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scale
scale
[noun]

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

Ex: We need to assess the scale of the problem before deciding on a suitable solution .
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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 graph displayed the data with vertical bars representing each category .
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set
set
[noun]

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

Ex: The teacher introduced the concept of a set during the math lesson .
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axis
axis
[noun]

the central point or line around which an object turns

Ex: The sculpture slowly revolved on its central axis.
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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 sports tournaments , brackets [ ] are used to display match-ups and progressions of teams or players throughout the competition .
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equation
equation
[noun]

(mathematics) a statement indicating the equality between two values

Ex: Economists analyze supply and demand equations to forecast market trends and price changes .
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to deduce
to deduce
[Verb]

to determine by a process of logical reasoning

Ex: Mathematicians use logical rules to deduce theorems from established axioms .
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formula
formula
[noun]

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

Ex: Physicians apply medical formulas to determine appropriate dosages of medications based on patient weight and condition .
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function
function
[noun]

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

Ex: Statisticians analyze data using functions such as mean , median , and standard deviation to understand distributions and trends .
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ratio
ratio
[noun]

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

Ex: The student explained the ratio in the equation .
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segment
segment
[noun]

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

Ex: The segment of the circle containing the arc between points A and B is known as arc AB .
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asymmetric
asymmetric
[Adjective]

not having identical parts facing each other or around an axis

Ex: The asymmetric layout of the garden incorporated winding paths and varied plantings for a naturalistic feel .
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induction
induction
[noun]

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

Ex: Teachers often encourage students to learn mathematics through induction.
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to divide
to divide
[Verb]

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

Ex: Dividing a number by itself equals 1 .
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percentage

a number or amount expressed as a fraction of 100

Ex: The company aims to reduce its carbon emissions by a significant percentage over the next five years .
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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: Many real-world problems can be solved using algebraic equations and formulas.
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calculus
calculus
[noun]

the branch of mathematics that comprises differentials and integrals

Ex: Differential equations are a key topic within calculus.
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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: Ancient civilizations like the Greeks advanced the study of geometry.
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arithmetic

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

Ex: He struggled with arithmetic in elementary school but improved with extra practice.
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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: The mean of the test results was used to assess overall student achievement .
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variable
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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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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