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GCSE Mathematics
861 key terms
Filled circle
A circle that shows an endpoint is included in a solution set.
Final value
The value after the stated change has taken place.
Final velocity
The velocity at the end of the time interval being considered.
Finite sequence
A sequence with a final term and therefore a limited number of terms.
First difference
The result of subtracting one term of a sequence from the next term.
First differences
The results obtained by subtracting each term of a sequence from the following term.
Fixed point
A value unchanged by an iteration rule, so .
Footprint
The shape and arrangement of the area occupied by an object when viewed from above.
Formal written method
A written arithmetic procedure in which digits are arranged according to place value.
Formula
A rule written with symbols that connects two or more quantities.
Fraction
A number expressing one quantity divided by another, written in the form where .
Fractional coefficient
A coefficient written as a fraction, such as in .
Fractional index
An index written as a fraction. Its denominator represents a root and its numerator represents a power.
Fraction in its simplest form
A fraction whose numerator and denominator have no common factor greater than 1.
Fraction in simplest form
A fraction whose numerator and denominator have no common factor greater than 1.
Fraction of the whole
A number expressing one part as a share of the complete amount.
Frequency
The number of times that a category or outcome occurs.
Frequency density
The frequency of a class divided by its class width; it gives the height of a histogram bar.
Frequency table
A table that lists categories or outcomes alongside their frequencies.
Frequency tree
A diagram that sorts a total into groups and subgroups, with numbers on its branches showing their frequencies.
Front elevation
An elevation obtained by looking directly at the object from the direction marked as the front.
Frustum
The part of a cone or pyramid left after its top has been removed by a cut parallel to the base.
Full turn
One complete turn about a point, equal to .
Function
A rule that assigns an output to each permitted input; denotes the output of function for input .
Function notation
A way of writing the output of a named function; for example, is the output of function for input .
Function notation f(x)
Notation for the output of function when its input is .
Geometrical proof
A logical argument in which each conclusion is supported by stated information or an accepted geometrical fact.
Geometric diagram
A drawing that shows the shapes, labels and relationships described in a question.
Geometric progression
A sequence in which each term is obtained by multiplying the previous term by the same number.
Geometric proof
A chain of statements in which each step follows from given information or an established mathematical fact, establishing that a result must be true.
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