# Additional Maths

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• Created by: A.B.
• Created on: 27-03-13 20:11
• Additional Maths
• Algebra
• 1 (Recapping)
• Linear Expressions
• Quadratic Expressions
• To Solve
• Factorise
• Quadratic Formula
• Complete the Square
• Halve b then square it and add it on inside the brackets. Minus this number after +c.  Factorise the values inside the bracket. Rearrange to solve, giving 2 values due to the square root.
• Simultaneous Equations
• Substitution
• When y is subject (or other unknown).
• Elimination
• Add or subtract to eliminate variables
• Substitute into first equation.
• When y is not the subject.
• 2
• Linear Inequalities
• Do the same to both sides.
• Open circles show that the number is not included
• Closed circles show the number is included
• Quadratic Inequalities
• Sketch a graph
• Draw a table showing values of x
• Terms MUST be collected to one side
• Algebraic Fractions
• When multiplying, only multiply the numerator
• Simplifying expressions containing square roots
• Rationalise the denominator
• 3 (polynomials)
• Factor Theroem
• If (x-a) is a factor of f(x) then f(a)=0.
• Can be found through division of polynomials.
• Remainder Theorem
• f(a) is the remainder when f(x) is divided by   (x-a)
• 4 (Bionomials)
• Bionomial Distribution
• In probability...
• The probability of a successful outcome is 'p'
• The probability that the outcome is a failure is 'q'
• There are 'n' trials
• The number of successes is 'X'
• Co-ordinate Geometry
• 1 (Straight lines and circles)
• To find the distance between a and b
• Use Pythagoras
• Circles
• With centre (h,k) and radius r
• When the centre is at the origin (0,0) (Simplified version of other).
• The co-ordinates of the point of intersection of two lines are found by solving their equations simultaneously.
• 2 (Inequalities)
• Represent boundaries that are < or > as a dotted line whereas if they are also equal to as a solid line.
• Region where inequalities satisfied simultaneously called the feasible region.
• Objective function is the quantity wanted to be maximised or minimised (e.g. profit)
• Will lie at, or near to the vertex of the feasible region.
• Trigonometry
• 1 (Review)
• SOHCAHTOA,for right angled triangles.
• For angle theta, in right angled triangle
• For triangle ABC
• Sine rule
• Cosine rule
• Area
• Sin theta and Cos theta can only take values between 1 and -1
• 2 (Applications)
• In 3D
• Plane = flat surface
• 2 lines may meet, be parallel or be skew
• Untitled
• Calculus
• Differentation
• Used to find whether point is maximum, minimum or point of inflection.
• Integration
• Used to find area under graph
• Definite
• Indefinite
• Kinetmatics
• SUVAT
• Variables
• Acceleration = a, Initial velocity = u, at time =t, velocity = v and displacement = s.
• Equations
• For General Motion

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