Maths: every topic explained
67 short explanations for Maths, one per syllabus topic: the idea, the rules, the common mistake and a worked example. Each one links to our notes and a free test on that topic.
Number
- Types of number
- Sets
- Powers and roots
- Fractions, decimals and percentages
- Ordering
- The four operations
- Indices I
- Standard form
- Estimation
- Limits of accuracy
- Ratio and proportion
- Rates
- Percentages
- Using a calculator
- Time
- Money
- Exponential growth and decay
- Surds
Algebra and graphs
- Introduction to algebra
- Algebraic manipulation
- Algebraic fractions
- Indices II
- Equations
- Inequalities
- Sequences
- Proportion
- Graphs in practical situations
- Graphs of functions
- Sketching curves
- Functions
Coordinate geometry
- Coordinates
- Drawing linear graphs
- Gradient of linear graphs
- Length and midpoint
- Equations of linear graphs
- Parallel lines
- Perpendicular lines
Geometry
- Geometrical terms
- Geometrical constructions
- Scale drawings
- Similarity
- Symmetry
- Angles
- Circle theorems I
- Circle theorems II
Mensuration
- Units of measure
- Area and perimeter
- Circles, arcs and sectors
- Surface area and volume
- Compound shapes and parts of shapes
Trigonometry
- Pythagoras’ theorem
- Right-angled triangles
- Non-right-angled triangles
- Pythagoras’ theorem and trigonometry
Transformations and vectors
Probability
Statistics
- Classifying statistical data
- Interpreting statistical data
- Averages and measures of spread
- Statistical charts and diagrams
- Scatter diagrams
- Cumulative frequency diagrams
- Histograms
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