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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.

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Vocabulary for Academic IELTS (6-7)
logarithm
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: In the logarithm log₂(8) = 3, the base 2 raised to the power of 3 equals 8. 
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theorem
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: Mathematicians often prove theorems to establish mathematical truths. 
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vector
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: In physics, force is often represented as a vector, considering both its magnitude and direction. 
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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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pi
pi
[noun]

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

Ex: Trigonometric functions involving angles in radians often yield results containing multiples of pi. 
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series
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: The arithmetic series 1 + 3 + 5 + 7 + 9 has a common difference of 2 between consecutive terms. 
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trigonometry

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

Ex: In trigonometry, the sine function (sin) relates the ratio of the length of the opposite side to the hypotenuse in a right-angled triangle. 
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quotient
quotient
[noun]

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

Ex: In the division problem 12 ÷ 4, the quotient is 3. 
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hypotenuse

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: In a right-angled triangle with legs of length 3 and 4 units, the hypotenuse can be calculated using the Pythagorean theorem as √(3² + 4²) = 5. 
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interval
interval
[noun]

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

Ex: The interval (a, b), where a and b are real numbers, represents all numbers between a and b but excludes the endpoints. 
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grid
grid
[noun]

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

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median
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 the set {2, 5, 8, 10, 12}, the median is 8, as it is the middle value when arranged in ascending order. 
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mode
mode
[noun]

the value that appears most frequently in a data set

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infographic

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

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distribution

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

Ex: The histogram shows the distribution of exam scores. 
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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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cluster
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: In a scatter plot, a cluster of data points close to each other may indicate a strong correlation between the variables. 
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histogram
histogram
[noun]

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

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sector
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: In a pizza, each slice represents a sector of the circular pizza, defined by the central angle and the radii. 
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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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