Edexcel • 1MA1 • 822 key terms
th Root
A value that, when raised to the power n, equals the original number.
From: Indices Calculations
12-hour clock
A timekeeping system that resets at midday, using a.m. for morning and p.m. for afternoon/evening.
From: Standard Units
24-hour clock
A timekeeping system that runs continuously from 00:00 to 23:59 without resetting at midday.
From: Standard Units
AAA (Angle-Angle-Angle)
A condition that proves two triangles are mathematically similar, but not necessarily congruent, as all corresponding angles are equal.
From: Congruence and Proofs
AA (Angle-Angle)
A condition for triangle similarity where two corresponding angles are equal.
From: Congruence and Proofs
Absolute value
The distance a number is from zero on a number line, representing its size without regard to its sign.
From: Calculating with Positive and Negative Numbers
Acceleration
The rate of change of velocity, represented by the gradient of a velocity-time graph.
From: Gradients and Areas
Accrued amount
The total sum of the original principal and all the compound interest earned to date.
From: Growth and Decay
AC Method / Decomposition
A method for factorising non-unitary quadratics by splitting the middle term (bx) into two separate terms to allow for grouping.
From: Expanding and Factorising Quadratics
Actual distance
The real-world distance between two points, usually expressed in metres or kilometres.
From: Scale Factors and Maps
Acute angle
An angle measuring strictly less than 90°.
From: Measurements and Bearings
Addition Law
The mathematical rule stating that for mutually exclusive events, the probability of either event occurring is the sum of their individual probabilities.
From: Outcome Sets
Adjacent angles on a straight line
Angles that share a common vertex and a common side, lying flat on a continuous straight line, summing to 180°.
From: Basic Angle Facts and Vertically Opposite Angles
Adjacent side
The side next to the reference angle being considered, connecting it to the right angle, which is not the hypotenuse.
From: Right-Angled Trigonometry
Algebraic expression
A mathematical statement containing numbers, variables, and operators, but strictly no equals sign.
From: Modelling with Equations
Algebraic fraction
A fraction where the numerator and/or denominator contain algebraic expressions.
From: Algebraic Manipulation
Algebraic proof
A logical argument using general algebraic terms to show a mathematical statement is true for all possible values.
From: Equations and Proof
Algebraic substitution
The process of replacing a variable in an expression with another mathematical expression or value.
From: Composite Functions
Alternate angles
Angles on opposite sides of a transversal crossing parallel lines, which are always equal.
From: Measurements and Bearings
Alternate segment
The segment on the opposite side of a chord from the angle between that chord and a tangent.
From: Circle Theorems
Ambiguous case
A situation in trigonometry using the Sine Rule where the calculated acute angle should actually be its obtuse supplement (180° - angle) based on the context of the diagram.
From: Sine and Cosine Rules
Amplitude
The maximum displacement from the equilibrium (the -axis). For and , this is .
Angle bisector
A straight line that divides an angle into two exactly equal parts.
From: Loci and Distance Problems
Angles at a point
A set of angles that share a common vertex and whose exterior boundaries form a complete circle, summing to 360°.
From: Basic Angle Facts and Vertically Opposite Angles
Angles on a straight line
A set of adjacent angles that form a straight angle; they must sum exactly to 180 degrees.
From: Angle Sums and Properties of Polygons
Annulus
The ring-shaped region between two concentric circles.
From: Circumference and Area of Circles and Composite 2D Shapes
Apex
The top vertex of a 3D shape such as a pyramid or cone.
From: Trigonometry and Pythagoras in 2D and 3D
Apex/Vertex angle
The angle located between the two equal sides of an isosceles triangle.
From: Quadrilaterals and Triangles
Approximate solution
A valid answer within an examiner-approved range, typically derived from reading a hand-drawn graph.
From: Simultaneous Equations
Approximation
A value that is nearly but not exactly correct, often found through repeated mathematical iteration.
From: Growth and Decay
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From: Trigonometric Graphs