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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
[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: Astronomers apply logarithms to express stellar magnitudes and measure the brightness of celestial objects .
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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: Students often encounter various theorems while studying advanced mathematics .
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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: The force exerted by a tensioned rope can be represented as a vector in mechanics .
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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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pi
[noun]

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

Ex: The circumference of a semicircle is C = π * r , showcasing the presence of pi in geometric calculations .
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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 alternating series test is a criterion used to determine the convergence of series with alternating signs .
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a branch of mathematics that deals with the relationships between the angles and sides of triangles

Ex: Trigonometry plays a key role in fields such as physics , engineering , and computer science , where understanding angles and periodic functions is essential .
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quotient
[noun]

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

Ex: The quotient of 50 and 10 is 5 , reflecting the result of their division .
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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: Trigonometric ratios like sine , cosine , and tangent involve the relationship between the sides of a right triangle , including the hypotenuse.
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interval
[noun]

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

Ex: An interval like [ 2 , 2 ] includes only the number 2 , as both endpoints are the same .
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grid
[noun]

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

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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: For the series { 20 , 25 , 30 , 35 , 40 , 45 } , the median is 32.5 , calculated as the average of 30 and 35 .
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mode
[noun]

the value that appears most frequently in a data set

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

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(statistics) the way statistical data are arranged that shows the frequency in which the values of a variable are repeated

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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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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: Cluster sampling involves dividing a population into clusters and randomly selecting entire clusters for analysis .
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histogram
[noun]

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

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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: The agricultural field was divided into sectors for planting different crops , each with its own irrigation system .
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ratio
[noun]

(mathematics) the result of the division of two mathematical expressions

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Vocabulary for IELTS Academic (Band 6-7)
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