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GCSE Higher revision pathway

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Number: Calculations, fractions & decimals

01
Positive and negative numbers (Grow a Garden challenge)
02
Multiplying fractions (Painter & Decorator challenge)
03
Multiplying and dividing three fractions
04
Converting fractions, decimals and percentages
05
Decimal reasoning
06
Recurring decimals
07
Recurring decimals: algebraic proof
08
Recurring decimals and distance proof (exam question)
09
HCF word problems (part 2)
10
Standard form: worded problems
11
Real-life maths you need to know

Number: Indices & surds

12
Negative powers
13
Laws of indices: multiplying and dividing
14
Laws of indices: multiplying and dividing (advanced)
15
Laws of indices with brackets
16
Introduction to surds
17
Multiplying surds with coefficients
18
Multiplying surds with coefficients (advanced)
19
Dividing surds

Algebra: Expressions & brackets

20
Dividing terms
21
Substitution with negative and squared numbers
22
Expanding and simplifying squared brackets
23
Expanding squared brackets with negatives
24
Expanding triple brackets (FOIL method)
25
Expanding triple brackets (part 2)
26
Solving double bracket equations (grid and FOIL)
27
Solving double bracket equations with negatives

Algebra: Equations, formulae & inequalities

28
Solving mixed expressions and equations
29
Multi-step equations with roots and powers
30
Forming and solving worded equations
31
Forming and solving equations with shapes (part 1)
32
Forming and solving equations with shapes (part 2)
33
Changing the subject: the basics
34
Changing the subject of a formula
35
Rearranging square root equations
36
Solving inequalities

Algebra: Algebraic fractions

37
Algebraic fractions: the basics
38
Dividing and simplifying algebraic fractions
39
Simplifying algebraic fractions with squares and cubes
40
Multi-step algebraic fractions

Algebra: Quadratics

41
Solving quadratics by factorising
42
Solving quadratics using square roots
43
The quadratic formula
44
Quadratic formula with compound shapes
45
Completing the square (adding)
46
Completing the square (subtracting)
47
Completing the square with fractions
48
Completing the square and turning points

Algebra: Simultaneous equations

49
Simultaneous equations (adding)
50
Simultaneous equations with different signs
51
Linear simultaneous equations (grade 8/9)
52
Solving simultaneous equations graphically

Algebra: Sequences & coordinates

53
Quadratic sequences: next terms
54
Quadratic sequences: finding the nth term
55
Quadratic sequences: position of a term
56
Midpoint of two coordinates
57
Midpoint proof

Ratio & proportion

58
Ratio and fractions: worded problems
59
Exchange rates (exam questions)
60
Inverse proportion
61
Direct proportion with squares
62
Direct proportion with cubes
63
Inverse proportion with squares
64
Compound interest and depreciation

Geometry & measures: Angles, circles & volume

65
Angles around a point
66
Area of a sector
67
Perimeter of a sector
68
Area and arc length of a sector
69
Circle problem solving
70
Volume, depth and proportion in cuboids
71
Similar shapes: area and volume
72
Distance, speed and time: problem solving

Geometry & measures: Trigonometry

73
Trigonometry: missing sides (sin)
74
Trigonometry: missing sides (cos)
75
Trigonometry: missing sides (tan)
76
Trigonometry: missing angles (inverse sin)
77
Trigonometry: missing angles (inverse cos)
78
Trigonometry: missing angles (inverse tan)
79
Area of any triangle (½ab sin C)

Geometry & measures: Vectors

80
Introduction to vectors
81
Describing vectors
82
Adding and subtracting vectors
83
Subtracting column vectors
84
Magnitude of a vector
85
Magnitude of a vector with surds

Probability

86
Probability problem solving

Statistics

87
Mode in complex data
88
Two-way tables (part 3)
89
Two-way tables (part 4)
90
Frequency histograms

Exam practice: Quick revision

91
Non-calculator quick revision (part 1)
92
Non-calculator quick revision (part 2)

Exam practice: Edexcel papers

93
Edexcel non-calculator quick revision
94
Edexcel non-calculator exam questions
95
Edexcel exam questions: reverse mean and mixed fractions
96
Edexcel Paper 2 (2023): questions 1–2
97
Edexcel Paper 2 (2023): questions 3–5
98
Edexcel Paper 2 (2023): questions 7–8
99
Edexcel Paper 1 (2024): questions 1–3
100
Edexcel Paper 1 (2024): questions 4–5
101
Edexcel Paper 1 (2024): questions 7–8