AQA GCSE Maths: Higher

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Description

Contents

Reviews

Language

English

ISBN

9780198376828

Front Cover

Title Page

Contents

About this book

1 Calculations 1

Skills 1.1 Place value and rounding

Fluency

Applications 1.1 Place value and rounding

Reasoning and problem solving

Skills 1.2 Adding and subtracting

Fluency

Applications 1.2 Adding and subtracting

Reasoning and problem solving

Skills 1.3 Multiplying and dividing

Fluency

Applications 1.3 Multiplying and dividing

Reasoning and problem solving

Summary

Review

Assessment 1

2 Expressions

Skills 2.1 Simplifying expressions

Fluency

Applications 2.1 Simplifying expressions

Reasoning and problem solving

Skills 2.2 Indices

Fluency

Applications 2.2 Indices

Reasoning and problem solving

Skills 2.3 Expanding and factorising 1

Fluency

Applications 2.3 Expanding and factorising 1

Reasoning and problem solving

Skills 2.4 Algebraic fractions

Fluency

Applications 2.4 Algebraic fractions

Reasoning and problem solving

Summary

Review

Assessment 2

3 Angles and polygons

Skillls 3.1 Angles and lines

Fluency

Applications 3.1 Angles and lines

Reasoning and problem solving

Skills 3.2 Triangles and quadrilaterals

Fluency

Applications 3.2 Triangles and quadrilaterals

Reasoning and problem solving

Skills 3.3 Congruence and similarity

Fluency

Applications 3.3 Congruence and similarity

Reasoning and problem solving

Skills 3.4 Polygon angles

Fluency

Applications 3.4 Polygon angles

Reasoning and problem solving

Summary

Review

Assessment 3

4 Handling data 1

Skills 4.1 Representing data 1

Fluency

Applications 4.1 Representing data 1

Reasoning and problem solving

Skills 4.2 Averages and spread 1

Fluency

Applications 4.2 Averages and spread 1

Reasoning and problem solving

Skills 4.3 Frequency diagrams

Fluency

Applications 4.3 Frequency diagrams

Reasoning and problem solving

Summary

Review

Assessment 4

5 Fractions, decimalsand percentages

Skills 5.1 Fractions and percentages

Fluency

Applications 5.1 Fractions and percentages

Reasoning and problem solving

Skills 5.2 Calculations with fractions

Fluency

Applications 5.2 Calculations with fractions

Reasoning and problem solving

Skills 5.3 Fractions, decimals and percentages

Fluency

Applications 5.3 Fractions, decimals and percentages

Reasoning and problem solving

Summary

Review

Assessment 5

Life skills 1: The business plan

6 Formulae and functions

Skills 6.1 Formulae

Fluency

Applications 6.1 Formulae

Reasoning and problem solving

Skills 6.2 Functions

Fluency

Applications 6.2 Functions

Reasoning and problem solving

Skills 6.3 Equivalences in algebra

Fluency

Applicaions 6.3 Equivalences in algebra

Reasoning and problem solving

Skills 6.4 Expanding and factorising 2

Fluency

Applications 6.4 Expanding and factorising 2

Reasoning and problem solving

Summary

Review

Assessment 6

Revision 1

7 Working in 2D

Skills 7.1 Measuring lengths and angles

Fluency

Applications 7.1 Measuring lengths and angles

Reasoning and problem solving

Skills 7.2 Area of a 2D shape

Fluency

Applications 7.2 Area of a 2D shape

Reasoning and problem solving

Skills 7.3 Transformations 1

Fluency

Applications 7.3 Transformations 1

Reasoning and problem solving

Skills 7.4 Transformations 2

Fluency

Applications 7.4 Transformations 2

Reasoning and problem solving

Summary

Review

Assessment 7

8 Probability

Skills 8.1 Probability experiments

Fluency

Applications 8.1 Probability experiments

Reasoning and problem solving

Skills 8.2 Theoretical probability

Fluency

Applications 8.2 Theoretical probability

Reasoning and problem solving

Skills 8.3 Mutually exclusive events

Fluency

Applications 8.3 Mutually exclusive events

Reasoning and problem solving

Summary

Review

Assessment 8

9 Measures and accuracy

Skills 9.1 Estimation and approximation

Fluency

Applications 9.1 Estimation and approximation

Reasoning and problem solving

Skills 9.2 Calculator methods

Fluency

Applications 9.2 Calculator methods

Reasoning and problem solving

Skills 9.3 Measures and accuracy

Fluency

Applications 9.3 Measures and accuracy

Reasoning and problem solving

Summary

Review

Assessment 9

10 Equations and inequalities

Skills 10.1 Solving linear equations

Fluency

Applications 10.1 Solving linear equations

Reasoning and problem solving

Skills 10.2 Quadratic equations

Fluency

Applications 10.2 Quadratic equations

Reasoning and problem solving

Skills 10.3 Simultaneous equations

Fluency

Applications 10.3 Simultaneous equations

Reasoning and problem solving

Skills 10.4 Approximate solutions

Fluency

Applications 10.4 Approximate solutions

Reasoning and problem solving

Skills 10.5 Inequalities

Fluency

Applications 10.5 Inequalities

Reasoning and problem solving

Summary

Review

Assessment 10

Life skills 2: Starting the business

11 Circles and constructions

Skills 11.1 Circles 1

Fluency

Applications 11.1 Circles 1

Reasoning and problem solving

Skills 11.2 Circles 2

Fluency

Applications 11.2 Circles 2

Reasoning and problem solving

Skills 11.3 Circle theorems

Fluency

Applications 11.3 Circle theorems

Reasoning and problem solving

Skills 11.4 Constructions and loci

Fluency

Applications 11.4 Constructions and loci

Reasoning and problem solving

Summary

Review

Assessment 11

12 Ratio and proportion

Skills 12.1 Proportion

Fluency

Applications 12.1 Proportion

Reasoning and problem solving

Skills 12.2 Ratio and scales

Fluency

Applications 12.2 Ratio and scales

Reasoning and problem solving

Skills 12.3 Percentage change

Fluency

Applications 12.3 Percentage change

Reasoning and problem solving

Summary

Review

Assessment 12

Revision 2

13 Factors, powersand roots

Skills 13.1 Factors and multiples

Fluency

Applications 13.1 Factors and multiples

Reasoning and problem solving

Skills 13.2 Powers and roots

Fluency

Applications 13.2 Powers and roots

Reasoning and problem solving

Skills 13.3 Surds

Fluency

Applications 13.3 Surds

Reasoning and problem solving

Summary

Review

Assessment 13

14 Graphs 1

Skills 14.1 Equation of a straight line

Fluency

Applications 14.1 Equation of a straight line

Reasoning and problem solving

Linear and quadratic functions

Skills 14.2 Linear and quadratic functions

Fluency

Applications 14.2 Linear and quadratic functions

Reasoning and problem solving

Skills 14.3 Properties of quadratic functions

Fluency

Applications 14.3 Properties of quadratic functions

Reasoning and problem solving

Skills 14.4 Kinematic graphs

Fluency

Applications 14.4 Kinematic graphs

Reasoning and problem solving

Summary

Review

Assessment 14

15 Working in 3D

Skills 15.1 3D shapes

Fluency

Applications 15.1 3D shapes

Reasoning and problem solving

Skills 15.2 Volume of a prism

Fluency

Applications 15.2 Volume of a prism

Reasoning and problem solving

Skills 15.3 Volume and surface area

Fluency

Applications 15.3 Volume and surface area

Reasoning and problem solving

Summary

Review

Assessment 15

Life skills 3: Getting ready

16 Handling data 2

Skills 16.1 Averages and spread 2

Fluency

Applications 16.1 Averages and spread 2

Reasoning and problem solving

Skills 16.2 Box plots and cumulative frequency graphs

Fluency

Applications 16.2 Box plots and cumulative frequency graphs

Reasoning and problem solving

Skills 16.3 Scatter graphs and correlation

Fluency

Applications 16.3 Scatter graphs and correlation

Reasoning and problem solving

Skills 16.4 Time series

Fluency

Applications 16.4 Time series

Reasoning and problem solving

Summary

Review

Assessment 16

17 Calculations 2

Skills 17.1 Calculating with rootsand indices

Fluency

Applications 17.1 Calculating with roots and indices

Reasoning and problem solving

Skills 17.2 Exact calculations

Fluency

Applications 17.2 Exact calculations

Reasoning and problem solving

Skills 17.3 Standard form

Fluency

Applications 17.3 Standard form

Reasoning and problem solving

Summary

Review

Assessment 17

18 Graphs 2

Skills 18.1 Cubic and reciprocal functions

Fluency

Applications 18.1 Cubic and reciprocal functions

Reasoning and problem solving

Skills 18.2 Exponential and trigonometric functions

Fluency

Applications 18.2 Exponential and trigonometric functions

Reasoning and problem solving

Skills 18.3 Real-life graphs

Fluency

18.3 Real-life graphs

Reasoning and problem solving

Skills 18.4 Gradients and areas under graphs

Fluency

Applications 18.4 Gradients and areas under graphs

Reasoning and problem solving

Skills 18.5 Equation of a circle

Fluency

Applications 18.5 Equation of a circle

Reasoning and problem solving

Summary

Review

Assessment 18

Revision 3

19 Pythagoras,trigonometry and vectors

Skills 19.1 Pythagoras’ theorem

Fluency

Applications 19.1 Pythagoras’ theorem

Reasoning and problem solving

Skills 19.2 Trigonometry 1

Fluency

Applications 19.2 Trigonometry 1

Reasoning and problem solving

Skills 19.3 Trigonometry 2

Fluency

Applications 19.3 Trigonometry 2

Reasoning and problem solving

Skills 19.4 Pythagoras and trigonometry problems

Fluency

Applications 19.4 Pythagoras and trigonometry problems

Reasoning and problem solving

Skills 19.5 Vectors

Fluency

Applications 19.5 Vectors

Reasoning and problem solving

Summary

Review

Assessment 19

20 The probability ofcombined events

Skills 20.1 Sets

Fluency

Applications 20.1 Sets

Reasoning and problem solving

Skills 20.2 Possibility spaces

Fluency

Applications 20.2 Possibility spaces

Reasoning and problem solving

Skills 20.3 Tree diagrams

Fluency

Applications 20.3 Tree diagrams

Reasoning and problem solving

Skills 20.4 Conditional probability

Fluency

Applications 20.4 Conditional probability

Reasoning and problem solving

Summary

Review

Assessment 20

Life skills 4: The launch party

21 Sequences

Skills 21.1 Linear Sequences

Fluency

Applications 21.1 Linear Sequences

Reasoning and problem solving

Skills 21.2 Quadratic sequences

Fluency

Applications 21.2 Quadratic sequences

Reasoning and problem solving

Skills 21.3 Special sequences

Fluency

Applications 21.3 Special sequences

Reasoning and problem solving

Summary

Review

Assessment 21

22 Units andproportionality

Skills 22.1 Compound units

Fluency

Applications 22.1 Compound units

Reasoning and problem solving

Skills 22.2 Converting between units

Fluency

Applications 22.2 Converting between units

Reasoning and problem solving

Skills 22.3 Direct and inverse proportion

Fluency

Applications 22.3 Direct and inverse proportion

Reasoning and problem solving

Skills 22.4 Rates of change

Fluency

Applications 22.4 Rates of change

Reasoning and problem solving

Skills 22.5 Growth and decay

Fluency

Applications 22.5 Growth and decay

Reasoning and problem solving

Summary

Review

Assessment 22

Revision 4

Formulae

Key phrases and terms

Answers

Index

Back Cover

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