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GCSE Mathematics
861 key terms
Overlap
Outcomes that belong to both of two events.
Parabola
The smooth curved graph of a quadratic function.
Parallel line
Lines in the same plane that remain the same distance apart and do not meet.
Parallel lines
Lines in the same plane that remain the same distance apart and never meet; distinct non-vertical parallel lines have equal gradients.
Parallelogram
A quadrilateral with two pairs of opposite sides parallel.
Parallel sides
Lines that remain the same distance apart and never meet, usually indicated by matching arrow marks.
Part
The quantity being compared with the whole.
Part : part ratio
A ratio comparing one share with another share; neither number represents the total.
Part-to-part ratio
A ratio comparing one part of a quantity with another part.
Part-to-whole ratio
A comparison between one selected part and the complete amount.
Part : whole ratio
A ratio comparing one share with the entire quantity; the other share is the total minus that share.
Pascal
A metric unit of pressure equal to one newton per square metre.
Path
A route through a tree diagram from start to finish, representing one complete sequence of outcomes.
Per annum
A Latin expression meaning “for each year”; it indicates an annual rate.
Per annum (p.a.)
A rate for each year; the phrase means “per year”.
Percentage
A number of parts per hundred; for example, 17% means 17 out of every 100.
Percentage change
The difference between the new and original values, expressed as a percentage of the original value.
Percentage multiplier
A decimal factor used to multiply a quantity, such as 1.12 for a 12% increase or 0.88 for a 12% decrease.
Perfect cube
A whole number made by cubing an integer, such as . Perfect cubes help when estimating cube roots.
Perfect power
An integer that can be written as , where is an integer and is an integer greater than ; for example, .
Perfect square
An expression such as obtained by multiplying the same linear expression by itself.
Perimeter
The distance around the outside boundary of a two-dimensional shape.
Period
The horizontal length of one complete repeating cycle of a graph.
Perpendicular
Perpendicular lines meet at a right angle. Where both gradients are defined and non-zero, their gradients multiply to .
Perpendicular bisector
A line that passes through the midpoint of a segment at a right angle to it.
Perpendicular distance
The shortest distance from a point to a line, measured along a line that meets it at 90°.
Perpendicular height
The shortest distance from a chosen base to the opposite side or vertex, measured at a right angle to the base.
Perpendicular line
A straight line that meets another line at a right angle of 90°.
Perpendicular lines
Lines that intersect at an angle of exactly .
Pi
The constant ratio of a circle's circumference to its diameter, written .
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