1. Number
Foundation & Higher
1.1
Integers, Decimals and Place Value
Notes Practice
1.2
Addition, Subtraction, Multiplication and Division
Notes Practice
1.3
Order of Operations (BIDMAS)
Notes Practice
1.4
Factors, Multiples and Primes
Notes Practice
1.5
HCF and LCM
Notes Practice
1.6
Fractions
Notes Practice
1.7
Fractions, Decimals and Percentages
Notes Practice
1.8
Powers, Roots and Index Laws
Notes Practice
1.9
Standard Form
Notes Practice
1.10
Rounding and Estimation
Notes Practice
1.11
Error Intervals
Notes Practice
2. Number — Higher Only
Higher Only
3. Algebra
Foundation & Higher
3.1
Algebraic Notation and Expressions
Notes Practice
3.2
Substitution
Notes Practice
3.3
Expanding Brackets
Notes Practice
3.4
Factorising into Single Brackets
Notes Practice
3.5
Rearranging Formulae
Notes Practice
3.6
Solving Linear Equations
Notes Practice
3.7
Simultaneous Equations (Linear)
Notes Practice
3.8
Solving Linear Inequalities
Notes Practice
3.9
Sequences and nth Term
Notes Practice
3.10
Straight-Line Graphs
Notes Practice
3.11
Quadratic Graphs
Notes Practice
3.12
Real-Life Graphs
Notes Practice
4. Algebra — Higher Only
Higher Only
4.1
Expanding and Factorising Quadratics
Notes Practice
4.2
Difference of Two Squares
Notes Practice
4.3
Solving Quadratic Equations
Notes Practice
4.4
Completing the Square
Notes Practice
4.5
The Quadratic Formula
Notes Practice
4.6
Simultaneous Equations (Non-Linear)
Notes Practice
4.7
Quadratic Inequalities
Notes Practice
4.8
Quadratic Sequences
Notes Practice
4.9
Algebraic Fractions
Notes Practice
4.10
Functions and Inverse Functions
Notes Practice
4.11
Composite Functions
Notes Practice
4.12
Transformations of Graphs
Notes Practice
4.13
Cubic, Reciprocal and Exponential Graphs
Notes Practice
4.14
Trigonometric Graphs
Notes Practice
4.15
Gradients and Areas Under Graphs
Notes Practice
4.16
Equation of a Tangent to a Circle
Notes Practice
4.17
Iteration
Notes Practice
4.18
Algebraic Proof
Notes Practice
5. Ratio, Proportion and Rates of Change
Foundation & Higher
5.1
Ratio
Notes Practice
5.2
Dividing in a Given Ratio
Notes Practice
5.3
Proportion
Notes Practice
5.4
Percentage Change
Notes Practice
5.5
Reverse Percentages
Notes Practice
5.6
Simple and Compound Interest
Notes Practice
5.7
Speed, Distance and Time
Notes Practice
5.8
Compound Measures
Notes Practice
5.9
Unit Conversions
Notes Practice
6. Ratio, Proportion — Higher Only
Higher Only
6.1
Direct and Inverse Proportion
Notes Practice
6.2
Growth and Decay
Notes Practice
6.3
Rates of Change from Graphs
Notes Practice
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7. Geometry and Measures
Foundation & Higher
7.1
Angles and Parallel Lines
Notes Practice
7.2
Angles in Polygons
Notes Practice
7.3
Properties of 2D Shapes
Notes Practice
7.4
Properties of 3D Shapes
Notes Practice
7.5
Congruence
Notes Practice
7.6
Similarity
Notes Practice
7.7
Transformations
Notes Practice
7.8
Constructions and Loci
Notes Practice
7.9
Bearings
Notes Practice
7.10
Pythagoras' Theorem
Notes Practice
7.11
Trigonometry (SOHCAHTOA)
Notes Practice
7.12
Perimeter and Area
Notes Practice
7.13
Circles — Area and Circumference
Notes Practice
7.14
Surface Area and Volume
Notes Practice
7.15
Plans and Elevations
Notes Practice
8. Geometry — Higher Only
Higher Only
8.1
Exact Trigonometric Values
Notes Practice
8.2
Sine and Cosine Rules
Notes Practice
8.3
Area of a Triangle Using Sine
Notes Practice
8.4
3D Pythagoras and Trigonometry
Notes Practice
8.5
Circle Theorems
Notes Practice
8.6
Arcs, Sectors and Segments
Notes Practice
8.7
Cones, Spheres and Pyramids
Notes Practice
8.8
Similar Areas and Volumes
Notes Practice
8.9
Vectors
Notes Practice
8.10
Vector Proof
Notes Practice
9. Probability
Foundation & Higher
10. Probability — Higher Only
Higher Only
10.1
Conditional Probability
Notes Practice
10.2
Set Notation for Probability
Notes Practice
11. Statistics
Foundation & Higher
11.1
Sampling and Data Collection
Notes Practice
11.2
Frequency Tables
Notes Practice
11.3
Charts and Diagrams
Notes Practice
11.4
Pie Charts
Notes Practice
11.5
Scatter Graphs and Correlation
Notes Practice
11.6
Time Series
Notes Practice
11.7
Averages and Range
Notes Practice
11.8
Averages from Grouped Data
Notes Practice
12. Statistics — Higher Only
Higher Only
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