Edexcel GCSE Maths: Higher

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Description

Contents

Reviews

Language

English

ISBN

9780198376804

Contents

1 Calculations 1

1.1 Skills Place value and rounding

Exercise 1.1S

Review

Assessment 1

1.1 Applications Place value and rounding

Exercise 1.1A

1.2 Skills Adding and subtracting

Exercise 1.2S

1.2 Applicaions Adding and subtracting

Exercise 1.2A

1.3 Skills Multiplying and dividing

Exercise 1.3S

1.3 Applications Multiplying and dividing

Exercise 1.3A

Summary

2 Expressions

2.1 Skills Simplifying expressions

Exercise 2.1S

Review

Assessment 2

2.1 Applications Simplifying expressions

Exercise 2.1A

2.2 Skills Indices

Exercise 2.2S

2.2 Applications Indices

Exercise 2.2A

2.3 Skills Expanding and factorising 1

Exercise 2.3S

2.3 Applications Expanding and factorising 1

Exercise 2.3A

2.4 Skills Algebraic fractions

Exercise 2.4S

2.4 Applications Algebraic fractions

Exercise 2.4A

Summary

3 Angles and polygons

3.1 Skills Angles and lines

Exercise 3.1S

Review

Assessment 3

3.1 Applications Angles and lines

Exercise 3.1A

3.2 Skills Triangles and quadrilaterals

Exercise 3.2S

3.2 Applications Triangles and quadrilaterals

Exercise 3.2A

3.3 Skills Congruence and similarity

Exercise 3.3S

3.3 Applications Congruence and similarity

Exercise 3.3A

3.4 Skills Angles in polygons

Exercise 3.4S

3.4 Applications Angles in polygons

Exercise 3.4A

Summary

4 Handling data 1

4.1 Skills Sampling

Exercise 4.1S

Review

Assessment 4

4.1 Applications Sampling

Exercise 4.1A

4.2 Skills Organising data

Exercise 4.2S

4.2 Applications Organising data

Exercise 4.2A

4.3 Skills Representing data 1

Exercise 4.3S

4.3 Applications Representing data 1

Exercise 4.3A

4.4 Skills Averages and spread 1

Exercise 4.4S

4.4 Applications Averages and spread 1

Exercise 4.4A

Summary

5 Fractions, decimals and percentages

5.1 Skills Fractions and percentages

Exercise 5.1S

Review

Assessment 5

Life skills 1: The business plan

5.1 Applications Fractions and percentages

Exercise 5.1A

5.2 Skills Calculations with fractions

Exercise 5.2S

5.2 Applications Calculations with fractions

Exercise 5.2A

5.3 Skills Fractions, decimals and percentages

Exercise 5.3S

5.3 Applications Fractions, decimals and percentages

Exercise 5.3A

Summary

6 Formulae and functions

6.1 Skills Formulae

Exercise 6.1S

Review

Assessment 6

Revision 1

6.1 Applications Formulae

Exercise 6.1A

6.2 Skills Functions

Exercise 6.2S

6.2 Applications Functions

Exercise 6.2A

6.3 Skills Equivalences in algebra

Exercise 6.3S

6.3 Applications Equivalences in algebra

Exercise 6.3A

6.4 Skills Expanding and factorising 2

Exercise 6.4S

6.4 Applications Expanding and factorising 2

Exercise 6.4A

Summary

7 Working in 2D

7.1 Skills Measuring lengths and angles

Exercise 7.1S

Review

Assessment 7

7.1 Applications Measuring lengths and angles

Exercise 7.1A

7.2 Skills Area of a 2D shape

Exercise 7.2S

7.2 Application Area of a 2D shape

Exercise 7.2A

7.3 Skills Transformations 1

Exercise 7.3S

7.3 Applications Transformations 1

Exercise 7.3A

7.4 Skills Transformations 2

Exercise 7.4S

7.4 Application Transformations 2

Exercise 7.4A

Summary

8 Probability

8.1 Skills Probability experiments

Exercise 8.1S

Review

Assessment 8

8.1 Applications Probability experiments

Exercise 8.1A

8.2 SkillsTheoretical probability

Exercise 8.2S

8.2 Applications Theoretical probability

Exercise 8.2A

8.3 Skills Mutually exclusive events

Exercise 8.3S

8.3 Applications Mutually exclusive events

Exercise 8.3A

Summary

9 Measures and accuracy

9.1 Skillls Estimation and approximation

Exercise 9.1S

Review

Assessment 9

9.1 Applications Estimation and approximation

Exercise 9.1A

9.2 Skills Calculator methods

Exercise 9.2S

9.2 Applications Calculator methods

Exercise 9.2A

9.3 Skills Measures and accuracy

Exercise 9.3S

9.3 Applications Measures and accuracy

Exercise 9.3A

Summary

10 Equations andinequalities

10.1 Skills Solving linear equations

Exercise 10.1S

Review

Assessment 10

Life skills 2: Starting the business

10.1 Applications Solving linear equations

Exercise 10.1A

10.2 Skills Quadratic equations

Exercise 10.2S

10.2 Applications Quadratic equations

Exercise 10.2A

10.3 Skills Simultaneous equations

Exercise 10.3S

10.3 Applications Simultaneous equations

Exercise 10.3A

10.4 Skills Approximate solutions

Exercise 10.4S

10.4 Applications Approximate solutions

Exercise 10.4A

10.5 Skills Inequalities

Exercise 10.5S

10.5 Applications Inequalities

Exercise 10.5A

Summary

11 Circles and constructions

11.1 Skills Circles 1

Exercise 11.1S

Review

Assessment 11

11.1 Applications Circles 1

Exercise 11.1A

11.2 Skills Circles 2

Exercise 11.2S

11.2 Applications Circles 2

Exercise 11.2A

11.3 Skills 1 Circle theorems

Exercise 11.3S1

11.3 Skills 2 Circle theorems

Exercise 11.3S2

11.3 Applications Circle theorems

Exercise 11.3A

11.4 Skills Constructions and loci

Exercise 11.4S

11.4 Applications Constructions and loci

Exercise 11.4A

Summary

12 Ratio and proportion

12.1 Skills Proportion

Exercise 12.1S

Review

Assessment 12

Revision 2

12.1 Applications Proportion

Exercise 12.1A

12.2 Skills Ratio

Exercise 12.2S

12.2 Applications Ratio

Exercise 12.2A

12.3 Skills Percentage change

Exercise 12.3S

12.3 Applications Percentage change

Exercise 12.3A

Summary

13 Factors, powers and roots

13.1 Skills Factors and multiples

Exercise 13.1S

Exercise 13.3A

Summary

Review

Assessment 13

13.1 Applications Factors and multiples

Exercise 13.1A

13.2 Skills Powers and roots

Exercise 13.2S

13.2 Applications Powers and roots

Exercise 13.2A

13.3 Skills Surds

Exercise 13.3S

13.3 Applications Surds

14 Graphs 1

14.1 Skills Equation of a straight line

Exercise 14.1S

Review

Assessment 14

14.1 Applications Equation of a straight line

Exercise 14.1A

14.2 Skills Linear and quadratic functions

Exercise 14.2S

14.2 Applications Linear and quadratic functions

Exercise 14.2A

14.3 Skills Properties of quadratic functions

Exercise 14.3S

14.3 Applications Properties of quadratic functions

Exercise 14.3A

14.4 Skills Kinematic graphs

Exercise 14.4S

14.4 Applications Kinematic graphs

Exercise 14.4A

Summary

15 Working in 3D

15.1 Skills 3D shapes

Exercise 15.1S

Review

Assessment 15

Life skills 3: Getting ready

15.1 Applications 3D shapes

Exercise 15.1A

15.2 Skills Volume of a prism

Exercise 15.2S

15.2 Applications Volume of a prism

Exercise 15.2A

15.3 Skills 1 Volume and surface area

Exercise 15.3S1

15.3 Skills 2 Volume and surface area

Exercise 15.3S2

15.3 Applications Volume and surface area

Exercise 15.3A

Summary

16 Handling data 2

16.1 Skills Frequency diagrams

Exercise 16.1S

Review

Assessment 16

16.1 Applications Frequency diagrams

Exercise 16.1A

16.2 Skills Averages and spread 2

Exercise 16.2S

16.2 Applications Averages and spread 2

Exercise 16.2A

16.3 Skills Box plots and cumulative frequency graphs

Exercise 16.3S

16.3 Applications Box plots and cumulative frequency graphs

Exercise 16.3A

16.4 Skills Scatter graphs and correlation

Exercise 16.4S

16.4 Applications Scatter graphs and correlation

Exercise 16.4A

16.5 Skills Time series

Exercise 16.5S

16.5 Applications Time series

Exercise 16.5A

Summary

17 Calculations 2

17.1 Skills Calculating with roots and indices

Exercise 17.1S

Review

Assessment 17

17.1 Applications Calculating with roots and indices

Exercise 17.1A

17.2 Skills Exact calculations

Exercise 17.2S

17.2 Applicatons Exact calculations

Exercise 17.2A

17.3 Skills Standard form

Exercise 17.3S

17.3 Applications Standard form

Exercise 17.3A

Summary

18 Graphs 2

18.1 Skills Cubic and reciprocal functions

Exercise 18.1S

Review

Assessment 18

Revision 3

18.1 Applications Cubic and reciprocal functions

Exercise 18.1A

Skills 18.2 Exponential and trigonometric functions

Exercise 18.2S

Applications 18.2 Exponential and trigonometric functions

Exercise 18.2A

18.3 Skills Real-life graphs

Exercise 18.3S

18.3 Apllications Real-life graphs

Exercise 18.3A

Skills 18.4 Gradients and areas under graphs

Exercise 18.4S

18.4 Applications Gradients and areas under graphs

Exercise 18.4A

18.5 Skills Equation of a circle

Exercise 18.5S

18.5 Applications Equation of a circle

Exercise 18.5A

Summary

19 Pythagoras and trigonometry

19.1 Skills Pythagoras’ theorem

Exercise 19.1S

Review

Assessment 19

19.1 Applications Pythagoras’ theorem

Exercise 19.1A

19.2 Skills Trigonometry 1

Exercise 19.2S

19.2 Applications Trigonometry 1

Exercise 19.2A

19.3 Skills Trigonometry 2

Exercise 19.3S

19.3 Applications Trigonometry 2

Exercise 19.3A

19.4 Skills Pythagoras and trigonometry problems

Exercise 19.4S

19.4 Applications Pythagoras and trigonometry problems

Exercise 19.4A

19.5 Skills Vectors

Exercise 19.5S

19.5 Applications Vectors

Exercise 19.5A

Summary

20 Combined events

20.1 Skills Sets

Exercise 20.1S

Review

Assessment 20

Life skills 4: The launch party

20.1 Applications Sets

Exercise 20.1A

20.2 Skills Possibility spaces

Exercise 20.2S

20.2 Applications Possibility spaces

Exercise 20.2A

20.3 Skills Tree diagrams

Exercise 20.3S

20.3 Applications Tree diagrams

Exercise 20.3A

20.4 Skills Conditional probability

Exercise 20.4S

20.4 Applications Conditional probability

Exercise 20.4A

Summary

21 Sequences

21.1 Skills Linear sequences

Exercise 21.1S

Review

Assessment 21

21.1 Applications Linear sequences

Exercise 21.1A

21.2 Skills Quadratic sequences

Exercise 21.2S

21.2 Applications Quadratic sequences

Exercise 21.2A

21.3 Skills Special sequences

Exercise 21.3S

21.3 Applications Special sequences

Exercise 21.3A

Summary

22 Units and proportionality

22.1 Skills Compound units

Exercise 22.1S

Review

Assessment 22

Revision 4

22.1 Applications Compound units

Exercise 22.1A

22.2 Applications Converting between units

Exercise 22.2S

22.2 Applications Converting between units

Exercise 22.2A

22.3 Skills Direct and inverse proportion

Exercise 22.3S

22.3 Applications Direct and inverse proportion

Exercise 22.3A

22.4 Skills Rates of change

Exercise 22.4S

22.4 Applications Rates of change

Exercise 22.4A

22.5 Skills Growth and decay

Exercise 22.5S

22.5 Applications Growth and decay

Exercise 22.5A

Summary

Formulae

Key phrases and terms

Answers

Index

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