Edexcel GCSE (9-1) Mathematics: Higher Practice, Reasoning and Problem-solving Book (Edexcel GCSE Maths 2015)

Cover
Acknowledgement
Contents
Chapter 1: Number
	1.1: Number problems and reasoning
	1.2: Place value and estimating
	1.3: HCF and LCM
	1.4: Calculating with powers (indices)
	1.5: Zero, negative and fractional indices
	1.6: Powers of 10 and standard form
	1.7: Surds
	Problem-solving
Chapter 2: Algebra
	2.1: Algebraic indices
	2.2: Expanding and factorising
	2.3: Equations
	2.4: Formulae
	2.5: Linear sequences
	2.6: Non-linear sequences
	2.7: More expanding and factorising
	Problem-solving
Chapter 3: Interpreting and representing data
	3.1: Statistical diagrams 1
	3.2: Time series
	3.3: Scatter graphs
	3.4: Line of best fit
	3.5: Averages and range
	3.6: Statistical diagrams 2
	Problem-solving
Chapter 4: Fractions, ratio and percentages
	4.1: Fractions
	4.2: Ratios
	4.3: Ratio and proportion
	4.4: Percentages
	4.5: Fractions, decimals and percentages
	Problem-solving
Chapter 5: Angles and trigonometry
	5.1: Angle properties of triangles and quadrilaterals
	5.2: Interior angles of a polygon
	5.3: Exterior angles of a polygon
	5.4: Pythagoras’ theorem 1
	5.5: Pythagoras’ theorem 2
	5.6: Trigonometry 1
	5.7: Trigonometry 2
	Problem-solving
Chapter 6: Graphs
	6.1: Linear graphs
	6.2: More linear graphs
	6.3: Graphing rates of change
	6.4: Real-life graphs
	6.5: Line segments
	6.6: Quadratic graphs
	6.7: Cubic and reciprocal graphs
	6.8: More graphs
	Problem-solving
Chapter 7: Area and volume
	7.1: Perimeter and area
	7.2: Units and accuracy
	7.3: Prisms
	7.4: Circles
	7.5: Sectors of circles
	7.6: Cylinders and spheres
	7.7: Pyramids and cones
	Problem-solving
Chapter 8: Transformations and constructions
	8.1: 3D solids
	8.2: Reflection and rotation
	8.3: Enlargement
	8.4: Translations and combinations of transformations
	8.5: Bearings and scale drawings
	8.6: Constructions 1
	8.7: Constructions 2
	8.8: Loci
	Problem-solving
Chapter 9: Equations and inequalities
	9.1: Solving quadratic equations 1
	9.2: Solving quadratic equations 2
	9.3: Completing the square
	9.4: Solving simple simultaneous equations
	9.5: More simultaneous equations
	9.6: Solving linear and quadratic simultaneous equations
	9.7: Solving linear inequalities
	Problem-solving
Chapter 10: Probability
	10.1: Combined events
	10.2: Mutually exclusive events
	10.3: Experimental probability
	10.4: Independent events and tree diagrams
	10.5: Conditional probability
	10.6: Venn diagrams and set notation
	Problem-solving
Chapter 11: Multiplicative reasoning
	11.1: Growth and decay
	11.2: Compound measures
	11.3: More compound measures
	11.4: Ratio and proportion
	Problem-solving
Chapter 12: Similarity and congruence
	12.1: Congruence
	12.2: Geometric proof and congruence
	12.3: Similarity
	12.4: More similarity
	12.5: Similarity in 3D solids
	Problem-solving
Chapter 13: More trigonometry
	13.1: Accuracy
	13.2: Graph of the sine function
	13.3: Graph of the cosine function
	13.4: The tangent function
	13.5: Calculating areas and the sine rule
	13.6: The cosine rule and 2D trigonometric problems
	13.7: Solving problems in 3D
	13.8: Transforming trigonometric graphs 1
	13.9: Transforming trigonometric graphs 2
	Problem-solving
Chapter 14: Further statistics
	14.1: Sampling
	14.2: Cumulative frequency
	14.3: Box plots
	14.4: Drawing histograms
	14.5: Interpreting histograms
	14.6: Comparing and describing populations
	Problem-solving
Chapter 15: Equations and graphs
	15.1: Solving simultaneous equations graphically
	15.2: Representing inequalities graphically
	15.3: Graphs of quadratic functions
	15.4: Solving quadratic equations graphically
	15.5: Graphs of cubic functions
	Problem-solving
Chapter 16: Circle theorems
	16.1: Radii and chords
	16.2: Tangents
	16.3: Angles in circles 1
	16.4: Angles in circles 2
	16.5: Applying circle theorems
	Problem-solving
Chapter 17: More algebra
	17.1: Rearranging formulae
	17.2: Algebraic fractions
	17.3: Simplifying algebraic fractions
	17.4: More algebraic fractions
	17.5: Surds
	17.6: Solving algebraic fraction equations
	17.7: Functions
	17.8: Proof
	Problem-solving
Chapter 18: Vectors and geometric proof
	18.1: Vectors and vector notation
	18.2: Vector arithmetic
	18.3: More vector arithmetic
	18.4: Parallel vectors and collinear points
	18.5: Solving geometric problems
	Problem-solving
Chapter 19: Proportion and graphs
	19.1: Direct proportion
	19.2: More direct proportion
	19.3: Inverse proportion
	19.4: Exponential functions
	19.5: Non-linear graphs
	19.6: Translating graphs of functions
	19.7: Reflecting and stretching graphs of functions
	Problem-solving