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GCSE Mathematics
801 key terms
Tree diagram
A branching diagram that shows the possible outcomes at each stage of a process.
Trend
The overall direction in which time series values generally move over time.
Trial
One repetition of a probability experiment, such as one roll of a die.
Triangle
A figure formed by three line segments joining three vertices.
Triangular number
A number of objects that can be arranged in a triangular pattern; the th triangular number is .
Trigonometric function
A function whose output is the sine, cosine or tangent of an angle.
Trigonometric ratio
A relationship between an acute angle and two side lengths in a right-angled triangle, such as sine, cosine or tangent.
Truncation
Removing digits after a chosen place without changing the last digit kept.
Turning point
The single minimum or maximum point of a quadratic graph, where the curve changes direction.
Two-way table
A table that classifies the same results in two ways, with row and column totals.
Unbiased sample
A sample collected without a systematic tendency to favour or exclude particular outcomes.
Undefined
A value that has no defined numerical result, such as division by zero.
Underlying assumption
An assumption about how a probability situation works, such as whether selections are random or whether an object is replaced.
Ungrouped data
Data shown as individual values rather than combined into class intervals.
Union
The set of elements that belong to , to , or to both sets.
Unique factorisation theorem
Every whole number greater than 1 can be expressed as a product of primes in exactly one way, apart from the order of the factors.
Unit
The agreed quantity used to state a measurement, such as a metre or a second.
Unitary method
A method that finds the amount corresponding to one unit before scaling to the required number of units.
Unit cancellation
A method of converting units by multiplying by conversion factors equal to 1, so that unwanted units cancel.
Unit circle
A circle of radius 1 centred at the origin, used to connect angles with sine and cosine values.
Unit fraction
One of the equal parts made when a whole is divided by the denominator.
Unit price
The cost of one unit of a product, such as £ per kilogram or pence per 100 ml.
Unit ratio
A ratio in which one selected part has been made equal to 1, such as .
Univariate data
One numerical variable recorded for each member of a data set.
Universal set
The complete set of elements being considered in a question, often shown by a rectangle in a Venn diagram.
Unknown
A letter or symbol representing a value that is not yet known.
Upper bound
The boundary at the top of the range of possible original values; for ordinary rounding, this boundary is excluded from the error interval.
Upper bound of a result
A value found using limits of accuracy so that no possible result lies above it.
Upper quartile
A value that divides ordered data so that approximately three quarters of the observations lie at or below it.
Upper quartile, Q₃
The value approximately three-quarters of the way through an ordered distribution, with about 75% of the data below it.
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