Revise Edexcel A level Mathematics Revision Guide

Cover
Contents
Part 1: Pure mathematics
	1: Index laws
	2: Expanding and factorising
	3: Surds
	4: Quadratic equations
	5: Functions and roots
	6: Sketching quadratics
	7: The discriminant
	8: Modelling with quadratics
	9: Simultaneous equations
	10: Inequalities
	11: Inequalities on graphs
	12: Cubic and quartic graphs
	13: Transformations 1
	14: Transformations 2
	15: Reciprocal graphs
	16: Points of intersection
	17: Equations of lines
	18: Parallel and perpendicular
	19: Lengths and areas
	20: Equation of a circle
	21: Circle properties
	22: Solving circle problems
	23: The factor theorem
	24: Binomial expansion 1
	25: Solving binomial problems
	26: Proof
	27: Cosine rule
	28: Sine rule
	29: Trigonometric graphs
	30: Trigonometric equations 1
	31: Trigonometric identities 1
	32: Trigonometric equations 2
	33: Vectors
	34: Solving vector problems
	35: Differentiating from first principles
	36: Differentiation 1
	37: Differentiation 2
	38: Tangents and normals
	39: Stationary points 1
	40: Stationary points 2
	41: Modelling with calculus
	42: Integration
	43: Finding the constant
	44: Definite integration
	45: Area under a curve
	46: More areas
	47: Exponential functions
	48: Logarithms
	49: Equations with logs
	50: Exponential equations
	51: Natural logarithms
	52: Exponential modelling
	53: Modelling with logs
	54: You are the examiner!
	55: You are still the examiner!
	56: Proof by contradiction
	57: Algebraic fractions
	58: Partial fractions
	59: Algebraic division
	60: Domain and range
	61: Graphs and range
	62: Inverse functions
	63: Inverse graphs
	64: Modulus
	65: Modulus transformations
	66: Modulus equations
	67: Arithmetic sequences
	68: Arithmetic series
	69: Geometric sequences
	70: Geometric series
	71: Infinite series
	72: Recurrence relations
	73: Modelling with series
	74: Series and logs
	75: Binomial expansion 2
	76: Radians, arcs and sectors
	77: Areas of triangles
	78: Sec, cosec and cot
	79: Trigonometric equations 3
	80: Trigonometric identities 2
	81: Arcsin, arccos and arctan
	82: Addition formulae
	83: Double angle formulae
	84: a cos θ ± b sin θ
	85: Trig modelling
	86: Parametric equations
	87: Differentiating sin x and cos x
	88: The chain rule
	89: Differentiating standard functions
	90: The product rule
	91: The quotient rule
	92: Differentiation and graphs
	93: Parametric differentiation
	94: Implicit differentiation
	95: Differentiating a^x
	96: Points of inflexion
	97: Rates of change
	98: Iteration
	99: The Newton-Raphson method
	100: Integrating standard functions
	101: Reverse chain rule
	102: Identities in integration
	103: Integration by substitution
	104: Integration by parts
	105: Integrating partial fractions
	106: Area between two curves
	107: Areas and parametric curves
	108: The trapezium rule
	109: Solving differential equations
	110: You are the examiner!
	111: You are still the examiner!
Part 2: Statistics
	112: Sampling
	113: Mean
	114: Median and quartiles
	115: Linear interpolation
	116: Standard deviation 1
	117: Standard deviation 2
	118: Coding
	119: Box plots and outliers
	120: Cumulative frequency diagrams
	121: Histograms
	122: Comparing distributions
	123: Correlation and cleaning data
	124: Regression
	125: Using regression lines
	126: Drawing Venn diagrams
	127: Using Venn diagrams
	128: Independent events
	129: Tree diagrams
	130: Random variables
	131: The binomial distribution
	132: Hypothesis testing
	133: Finding critical regions
	134: You are the examiner!
	135: You are still the examiner!
	136: Measuring correlation
	137: Hypothesis testing for 0 correlation
	138: Conditional probability
	139: Probability formulae
	140: The normal distribution 1
	141: The normal distribution 2
	142: The inverse normal function
	143: Finding μ and σ
	144: Normal approximations
	145: Normal hypothesis testing
	146: You are the examiner!
	147: You are still the examiner!
Part 3: Mechanics
	148: Modelling in mechanics
	149: Motion graphs
	150: Constant acceleration 1
	151: Constant acceleration 2
	152: Motion under gravity
	153: Forces
	154: Forces as vectors
	155: Motion in 2D
	156: Pulleys
	157: Connected particles 1
	158: Combining techniques
	159: Variable acceleration 1
	160: Variable acceleration 2
	161: Deriving suvat formulae
	162: You are the examiner!
	163: You are still the examiner!
	164: Moments 1
	165: Moments 2
	166: Centres of mass
	167: Resolving forces
	168: Friction
	169: Sloping planes
	170: Projectiles
	171: Projectile formulae
	172: Static particles
	173: Limiting equilibrium
	174: Static rigid bodies
	175: Connected particles 2
	176: Vectors in kinematics
	177: Vectors and bearings
	178: Variable acceleration 3
	179: Calculus with vectors
	180: You are the examiner!
	181: You are still the examiner!
Worked solutions
	Pure mathematics
	Statistics
	Mechanics