Vocabulary for IELTS Academic (Band 6-7) - Maths and Graphs

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

review

flashcard

spelling

quiz

start-learning

Vocabulary for IELTS Academic (Band 6-7)

logarithm [noun]

a mathematical function that represents the exponent to which a fixed number, called the base, must be raised to produce a given number

Ex: Engineers often apply logarithms in signal processing for efficient data representation .

theorem [noun]

a statement or proposition that has been proven to be true based on previously established axioms, definitions, and other theorems within a particular mathematical or logical system

Ex: The Pythagorean theorem is a well-known principle in geometry .

vector [noun]

an ordered set of numbers that describes both magnitude and direction, commonly used to represent quantities like displacement, velocity, or force in physics and engineering

Ex: Acceleration , a vector in kinematics , represents the rate of change of velocity over time .

function [noun]

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

Ex:

pi [noun]

a mathematical constant representing the ratio of a circle's circumference to its diameter, approximately equal to 3.14159

Ex: The Riemann zeta function involves pi in its value at even integers , such as ζ(2 )

series [noun]

a mathematical representation of the sum of the terms of a sequence, often denoted by the symbol Σ (sigma), where the terms are added together in a specified order

Ex:

trigonometry [noun]

a branch of mathematics that deals with the relationships between the angles and sides of triangles

Ex: The Pythagorean identity , a fundamental relation in trigonometry , states that sin²θ + cos²θ = 1 .

quotient [noun]

the result obtained by dividing one quantity or number by another, expressed as the outcome of a division operation

Ex: When dividing 15 by 3 , the quotient is 5 .

hypotenuse [noun]

the longest side of a right-angled triangle, opposite the right angle, and defined as the side opposite the right angle in a right-angled triangle

Ex: A ladder leaning against a wall forms a right triangle , with the hypotenuse representing the ladder 's length .

interval [noun]

a set of real numbers that includes all the numbers between any two specified numbers within the set

Ex: A half-open interval ( e , f ] , where e and f are real numbers , includes all numbers greater than e and less than or equal to f.

grid [noun]

a framework of spaced lines, horizontal and vertical, used as a reference for plotting points

median [noun]

a statistical measure that represents the middle value of a data set when the values are arranged in ascending or descending order

Ex: In a list of exam scores { 85 , 90 , 92 , 78 , 95 } , the median is 90 , the middle score when ordered .

mode [noun]

the value that appears most frequently in a data set

infographic [noun]

a visual representation of information or data, designed to convey complex information quickly and clearly

distribution [noun]

(statistics) an arrangement of values of a variable showing how often each occurs, either observed or theoretical

Ex:

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 .

cluster [noun]

a grouping or concentration of data points in a specific region, often used in statistics and data analysis to describe a set of values that are close to each other

Ex: When examining the distribution of test scores , a cluster of high scores may suggest a group of high-achieving students .

histogram [noun]

a diagram consisting of bars with different heights that represent the amount of a variable

sector [noun]

a portion of a circle, defined by an arc and the two radii that connect the arc's endpoints to the circle's center

Ex: When measuring angles in radians , a sector can be defined by the central angle and the length of the arc it subtends .

ratio [noun]

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

Ex: The recipe uses a sugar-to-flour ratio of 1:2 .

Vocabulary for IELTS Academic (Band 6-7)
Size and Scale	Dimensions	Weight and Steadiness	Increase in Amount
Decrease in Amount	Intensity	Time and Duration	Space and Area
Shapes	Speed	Significance	Insignificance
Strength and Influence	Uniqueness	Commonness	Complexity
High Quality	Low Quality	Value	Challenges
Wealth and Success	Poverty and Failure	Age and Appearance	Body Shape
Wellness	Intellectual Capability	Intellectual Incapabilities	Positive Human Traits
Negative Human Traits	Moral Traits	Financial Behaviours	Social Behaviours
Short-tempered Traits	Positive Emotional Responses	Negative Emotional Responses	Positive Emotional States
Negative Emotional States	Tastes and Smells	Sounds	Textures
Temperature	Probability	Attempt and Prevention	Opinions
Thoughts and Decisions	Encouragement and Discouragement	Knowledge and Information	Request and Suggestion
Respect and Approval	Regret and Sadness	Relational Actions	Physical Actions and Reactions
Body Language and Gestures	Postures and Positions	Movements	Engaging in Verbal Communication
Understanding and Learning	Perceiving The Senses	Commanding and Giving Permissions	Predicting
Touching and Holding	Changing and Forming	Creating and Producing	Organising and Collecting
Preparing Food	Eating and Drinking	Science	Education
Research	Astronomy	Physics	Biology
Chemistry	Geology	Philosophy	Psychology
Maths and Graphs	Geometry	Environment	Landscape and Geography
Engineering	Technology	Internet and Computer	Manufacture and Industry
History	Religion	Culture and Custom	Language and Grammar
Arts	Music	Film and Theatre	Literature
Architecture	Marketing	Finance	Management
Medicine	Sickness and Symptoms	Law	Energy and Power
Crime	Punishment	Government	Politics
Measurement	War	Positive Emotions	Negative Emotions
Travel and Tourism	Migration	Food and Drinks	Materials
Pollution	Disasters	Weather	Animals
Adverbs of Manner	Adverbs of Degree	Adverbs of Comment and Certainty	Adverbs of Time and Frequency
Adverbs of Purpose and Emphasis	Conjunctive Adverbs