Additional Maths
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 Created by: A.B.
 Created on: 270313 20:11
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 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.
 To Solve
 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.
 Add or subtract to eliminate variables
 Substitution
 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
 Linear Inequalities
 3 (polynomials)
 Factor Theroem
 If (xa) is a factor of f(x) then f(a)=0.
 Can be found through division of polynomials.
 If (xa) is a factor of f(x) then f(a)=0.
 Remainder Theorem
 f(a) is the remainder when f(x) is divided by (xa)
 Factor Theroem
 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'
 In probability...

 Bionomial Distribution
 1 (Recapping)
 Coordinate 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).
 With centre (h,k) and radius r
 The coordinates of the point of intersection of two lines are found by solving their equations simultaneously.
 To find the distance between a and b
 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.
 1 (Straight lines and circles)
 Trigonometry
 1 (Review)
 SOHCAHTOA,for right angled triangles.
 For angle theta, in right angled triangle
 For triangle ABC
 Sine rule
 Cosine rule
 Area
 Sine rule
 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
 In 3D
 1 (Review)
 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
 Variables
 SUVAT
 Differentation
 Algebra
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