, Everything You Need to Pass GCSE Maths
Higher Revision Guide
Contents
Unit 1: Number ................................................................................................................................. 3
Unit 2: Algebra, Equations and Sequences .......................................................................... 10
Unit 3: Averages and Data ......................................................................................................... 17
Unit 4: Fractions, Decimals, Ratio and Percentages ........................................................ 21
Unit 5: Angles, Pythagoras and Trigonometry.................................................................... 27
Unit 6: Algebraic Linear, Quadratic and Cubic Graphs .................................................... 31
Unit 7: Area, Volume, Circles, Accuracy and Bounds ...................................................... 34
Unit 8: Transformations, Plans and Elevations, Loci and Bearings ............................. 41
Unit 9: Quadratic Equations, Inequalities and Simultaneous Equations .................. 47
Unit 10: Probability........................................................................................................................ 51
Unit 11: Multiplicative Reasoning and Compound Measures ........................................ 55
Unit 12: Similarity and Congruence in 2D and 3D ............................................................ 59
Unit 13: Further Trigonometry.................................................................................................. 61
Unit 14: Statistics, Sampling, Cumulative Frequency and Histograms .................... 65
Unit 15: Further Quadratics, Cubics, Inequalities and Graphs ..................................... 68
Unit 16: Circle Theorems and Circle Geometry .................................................................. 72
Unit 17: Subject of a Formula, Algebraic Fractions, Rationalising Surds, Algebraic
Proof .................................................................................................................................................... 75
Unit 18: Vector Proof and Geometric Proof.......................................................................... 78
Unit 19: Exponentials, Velocity-Time Graphs, Proportion, Functions, Graph
Transformations .............................................................................................................................. 80
If using the online
version, you can click a
section in the contents
page to jump to it!
Instructions!
Every question has a QR
code that can be scanned
If using the online or clicked (if using the
version, you can get online version) to bring up a
back to the contents full lesson
page by clicking here!
Try it out!
Click here to 2
go back to the www.thegcsemathstutor.co.uk
first page!
, Everything You Need to Pass GCSE Maths
Higher Revision Guide
Unit 1: Number
Multiplying Decimals
Full
Lesson
Here
234.78
Answer
Product of Prime Factors
Full
Lesson
Here
23 x 7
2x2x2x7
Answer
Click here to 3
go back to the www.thegcsemathstutor.co.uk
first page!
, Everything You Need to Pass GCSE Maths
Higher Revision Guide
Highest Common Factor
Full
Lesson
Here
12
Answer
Lowest Common Multiple
Full
Lesson
Here
280
Answer
Click here to 4
go back to the www.thegcsemathstutor.co.uk
first page!
Higher Revision Guide
Contents
Unit 1: Number ................................................................................................................................. 3
Unit 2: Algebra, Equations and Sequences .......................................................................... 10
Unit 3: Averages and Data ......................................................................................................... 17
Unit 4: Fractions, Decimals, Ratio and Percentages ........................................................ 21
Unit 5: Angles, Pythagoras and Trigonometry.................................................................... 27
Unit 6: Algebraic Linear, Quadratic and Cubic Graphs .................................................... 31
Unit 7: Area, Volume, Circles, Accuracy and Bounds ...................................................... 34
Unit 8: Transformations, Plans and Elevations, Loci and Bearings ............................. 41
Unit 9: Quadratic Equations, Inequalities and Simultaneous Equations .................. 47
Unit 10: Probability........................................................................................................................ 51
Unit 11: Multiplicative Reasoning and Compound Measures ........................................ 55
Unit 12: Similarity and Congruence in 2D and 3D ............................................................ 59
Unit 13: Further Trigonometry.................................................................................................. 61
Unit 14: Statistics, Sampling, Cumulative Frequency and Histograms .................... 65
Unit 15: Further Quadratics, Cubics, Inequalities and Graphs ..................................... 68
Unit 16: Circle Theorems and Circle Geometry .................................................................. 72
Unit 17: Subject of a Formula, Algebraic Fractions, Rationalising Surds, Algebraic
Proof .................................................................................................................................................... 75
Unit 18: Vector Proof and Geometric Proof.......................................................................... 78
Unit 19: Exponentials, Velocity-Time Graphs, Proportion, Functions, Graph
Transformations .............................................................................................................................. 80
If using the online
version, you can click a
section in the contents
page to jump to it!
Instructions!
Every question has a QR
code that can be scanned
If using the online or clicked (if using the
version, you can get online version) to bring up a
back to the contents full lesson
page by clicking here!
Try it out!
Click here to 2
go back to the www.thegcsemathstutor.co.uk
first page!
, Everything You Need to Pass GCSE Maths
Higher Revision Guide
Unit 1: Number
Multiplying Decimals
Full
Lesson
Here
234.78
Answer
Product of Prime Factors
Full
Lesson
Here
23 x 7
2x2x2x7
Answer
Click here to 3
go back to the www.thegcsemathstutor.co.uk
first page!
, Everything You Need to Pass GCSE Maths
Higher Revision Guide
Highest Common Factor
Full
Lesson
Here
12
Answer
Lowest Common Multiple
Full
Lesson
Here
280
Answer
Click here to 4
go back to the www.thegcsemathstutor.co.uk
first page!
