Vocabulary for IELTS Academic (Band 8-9) - Maths and Graphs

Here, you will learn some English words related to Maths and Graphs that are necessary for the Academic IELTS exam.

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Vocabulary for IELTS Academic (Band 8-9)

variance [noun]

a measure of the dispersion or spread of a set of data points in statistics, representing the average squared deviation from the mean

Ex: A low variance indicates that the data points tend to be close to the mean , while a high variance suggests that the data points are more spread out .

algorithm [noun]

a finite sequence of well-defined, mathematical instructions for completing a specific task or solving a problem

Ex:

derivative [noun]

the rate at which a function changes with respect to its independent variable

Ex: Finding the derivative of a distance function results in the instantaneous speed function , representing the speed of an object at a specific moment .

integral [noun]

a mathematical concept representing the total accumulation of a quantity, often represented by the area under a curve on a graph

Ex:

limit [noun]

the value that a function or sequence approaches as its input or index gets close to a particular value

Ex: The limit of a fraction where the numerator and denominator both approach infinity may involve applying L'Hôpital 's Rule .

matrix [noun]

a rectangular array of numbers or symbols organized in rows and columns, commonly used in linear algebra for representing equations, transformations, and vector operations

Ex: Multiplying a matrix by a vector is a common operation in linear algebra , used in applications like computer programming and physics .

calculus [noun]

the branch of mathematics that comprises differentials and integrals

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

catastrophe theory [noun]

a branch of mathematics that studies and classifies phenomena characterized by sudden shifts in behavior arising from small changes in circumstances

Ex: Applications of catastrophe theory range from biology and ecology to economics and psychology , where it helps explain abrupt shifts in phenomena such as population dynamics , market crashes , and sudden changes in behavior .

donut chart [noun]

a circular graphic, similar to a pie chart, with a blank center, used to represent proportional data

flow chart [noun]

a graphic representation of the step-by-step sequence of functions in a computer program

bubble chart [noun]

a graphical representation using circles (bubbles) to display three dimensions of data: two on the axis and one represented by the bubble size

quartile [noun]

a statistical measure that divides a dataset into four equal parts, representing points that indicate the distribution of the data

Ex: The third quartile , Q3 , marks the 75th percentile , showing the value below which 75 % of the data falls .

candlestick chart [noun]

a financial chart used to represent price movements, typically displaying open, high, low, and close values for a specific time period

cross section [noun]

the non-empty area formed by the intersection of a solid object in three-dimensional space and a plane, or the corresponding concept in higher-dimensional spaces

Vocabulary for IELTS Academic (Band 8-9)
Size and Scale	Dimensions and Areas	Weight and Steadiness	Shapes
Increase in Amount	Decrease in Amount	Intensity	Speed
Significance	Uniqueness	Value	Complexity
Challenges	Quality	Success	Failure
Body Shape	Age and Appearance	Wellness	Intelligence
Human Traits	Positive Emotional Responses	Negative Emotional Responses	Positive Emotional States
Negative Emotional States	Social Behaviours	Tastes and Smells	Textures
Sounds	Temperature	Opinions	Thoughts and Decisions
Encouragement and Discouragement	Respect and Approval	Request and Suggestion	Attempt and Prevention
Movements	Body Language and Gestures	Commanding and Giving Permissions	Engaging in Verbal Communication
Eating and Drinking	Preparing Food	Science	Changing and Forming
Education	Astronomy	Physics	Biology
Chemistry	Geology	Philosophy	Psychology
Maths and Graphs	Geometry	Environment	Energy and Power
Landscape and Geography	Engineering	Technology	Internet
Computer	History	Religion	Culture and Custom
Language	Arts	Music	Film and Theatre
Literature	Architecture	Marketing	Finance
Management	Medicine	Sickness and Symptoms	Law
Crime	Punishment	Government	Politics
War	Measurement	Emotions	Travel and Migration
Weather	Pollution	Disasters	Animals
Food and Drinks	Adverbs of Manner