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UK Year 12 Mathematics (AS)
Y12
 
Quadratics
Different quadratic functions (31)
 
Completing the square method (14)
 
Quadratic formula (2)
 
Discriminants and roots (62)
 
Maximum and minimum values of a quadratic function (7)
 
Quadratic inequalities (38)
 
Simultaneous equations (one linear and one quadratic) (2)
 
Functions
Concepts of functions (44)
 
Composite functions (4)
 
Inverse functions (15)
 
Graph of functions (65)
 
Transformations of functions (0)
 
Limit at infinity (12)
 
Coordinate geometry
Length of a line segment and midpoint (0)
 
Parallel and perpendicular lines (1)
 
Equations of straight lines (3)
 
Equation of a circle (84)
 
Intersections of lines and circles (68)
 
Circular measure
Radians and degrees (3)
 
Length of an arc (11)
 
Area of a sector (5)
 
Trigonometry
Special angles (3)
 
Graphs of the sine, cosine and tangent functions (72)
 
Inverse trigonometric functions (21)
 
Trigonometric identities (19)
 
Trigonometric equations (59)
 
Series
Binomial expansion (18)
 
Arithmetic and geometric progressions (35)
 
Sum of terms of a progression (51)
 
Convergent sequence (30)
 
Infinite geometric series (28)
 
Differentiation
Derivatives and gradient functions (56)
 
Chain rule (16)
 
Tangents and normals (37)
 
Second derivatives (0)
 
Increasing and decreasing functions (9)
 
Stationary points (34)
 
Rates of change (0)
 
Integration
Integration as the reverse of differentiation (22)
 
Finding the constant of integration (1)
 
Integration of binomial expansion (6)
 
Definite integration (31)
 
Area under a curve (12)
 
Area bounded by a curve and a line or by two curves (35)
 
Volumes of revolution (11)
 
Kinematics of motion in a straight line
Distance, displacement, speed and velocity (1)
 
Acceleration (0)
 
Motion with constant acceleration (0)
 
Displacement-time graph (0)
 
Velocity-time graph (0)
 
Forces and equilibrium
Force as a vector and resultant (0)
 
Bodies in equilibrium (0)
 
Resolution of forces (0)
 
Triangle of forces (0)
 
Newton’s third law. (0)
 
Normal and frictional forces (0)
 
Representation of data
Types of data (0)
 
Stem-and-leaf diagrams (0)
 
Box-and-whisker plots (8)
 
Histograms and cumulative frequency graphs (16)
 
Measures of central tendency and variation (2)
 
Permutations and combinations
Factorial function (1)
 
Permutations (63)
 
Combinations (30)
 
Probability
Experiments, events and outcomes (9)
 
Mutually exclusive events and the addition law (4)
 
Independent events and the multiplication law (9)
 
Conditional probability (2)
 
Discrete random variables
Probability distributions (0)
 
Expectation and variance of a discrete random variable (0)
 
Binomial distribution (0)
 
Geometric distribution (0)
 
The normal distribution
Continuous random variables (0)
 
The normal distribution (0)
 
Modelling with the normal distribution (0)
 
The normal approximation to the binomial distribution (0)