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

✍ Scribed by Edexcel

• Publisher: Pearson Education
• Year: 2015
• Tongue: English
• Leaves: 179
• Category: Library

✦ Synopsis

Exam Board: Edexcel

Level: GCSE

Subject: Maths

First teaching: September 2015

First exams: June 2017

• Problem solving and reasoning questions included throughout.
• Exam style questions give students exposure to the sort of questions they will need to answer in their exam.
• Problem Solving lessons build up strategies from the Student Book so that students need to choose the most appropriate strategy.
• Mixed problem solving questions drawing on knowledge from this and previous chapters in the book give students the opportunity to practice using this strategy.

 

✦ Table of Contents

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