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

(2017)

### Abstract

Exam Board: Edexcel

Level: GCSE

Subject: Maths

First teaching: September 2015

First exams: June 2017

This book complements the Higher Student Book and can be used alongside the Higher Practice, Reasoning and Problem-solving Book to provide more in-depth practice.

• Consolidate understanding of key topics to help build confidence
• Support independent learning with scaffolded warm-up questions at the start of each section  and hints to provide help when needed
• Help students practise reasoning and problem-solving skills with new questions that  build on previous learning
• Challenge students with exam-style mixed exercises where students decide on the appropriate skills to apply.

Section Title Page Action Price
Cover Cover
Contents iii
Chapter 1: Number 1
1.1: Accuracy and bounds 1
1.2: Number problems and reasoning 3
1.3: Indices, roots and surds 4
1.4: Mixed exercise 6
Chapter 2: Algebra 7
2.1: Parallel and perpendicular lines 8
2.3: Composite and inverse functions 11
2.4: Gradient and area under linear and non-linear graphs 12
2.5: The circle, x2 + y2 = r2 16
2.6: Other non-linear graphs 17
2.7: Transformations of graphs 21
2.8: Simultaneous equations 24
2.9: Equations, expressions and inequalities 26
2.10: Sequences 28
2.11: Mixed exercise 30
Chapter 3: Ratio, proportion and rates of change 37
3.1: Compound measures 37
3.2: Area and volume scale factors 38
3.3: Proportion 40
3.4: Exponential graphs 42
3.5: Mixed exercise 43
Chapter 4: Probability 46
4.1: Independent events and tree diagrams 46
4.2: Conditional probability 47
4.3: Venn diagrams and set notation 49
4.4: Mixed exercise 51
Chapter 5: Geometry and measures 53
5.1: Transformations 53
5.2: Area and volume 56
5.3: Circle theorems 59
5.4: Trigonometry 65
5.5: Vectors 71
5.6: Mixed exercise 76
Chapter 6: Statistics 82
6.1: Comparison of distributions 82
6.2: Histograms 85
6.3: Mixed exercise 88