BTT SECONDARY MATHEMATICS · COMPLETE WORKED REPAIR LIBRARY
48 guides. Twelve batches. One repair route.
This directory brings the complete Secondary Mathematics Worked Repair series into one reader-facing route. Use it when a learner needs a specific mathematical repair rather than another general overview.
Start with the earliest unstable idea you can identify. Each guide contains original worked teaching examples, independent practice, worked answers, diagnostic cues and return links into the wider BTT Mathematics system.
Batch 01 · Core algebra, percentage and representation
- Signed Numbers, Brackets and Algebraic Structure
- Equations, Balance and Checking
- Ratio, Percentage and the Correct Base
- Graphs, Tables and Relationships
Batch 02 · Measurement, geometry, statistics and probability
- Units, Scale and Measurement
- Angles, Similarity and Geometric Reasoning
- Averages, Spread and Data Interpretation
- Probability, Sample Spaces and Independence
Batch 03 · Number structure, inequalities, sets and divisibility
- Indices, Roots and Standard Form
- Inequalities, Intervals and Regions
- Sets, Venn Diagrams and Logical Counting
- Prime Factors, Divisibility, HCF and LCM
Batch 04 · Algebraic fractions, constructions, circles and finance
- Algebraic Fractions, Formulae and Substitution
- Constructions, Loci and Geometric Conditions
- Circle Geometry — Arcs, Sectors, Chords and Tangents
- Financial Arithmetic — Growth, Depreciation and Interest
Batch 05 · Systems, quadratics, advanced statistics and vectors
- Simultaneous Equations, Elimination and Modelling
- Quadratic Equations, Factorisation and Roots
- Quartiles, Cumulative Frequency, Box Plots and Standard Deviation
- Vectors, Magnitude, Direction and Geometric Reasoning
Batch 06 · Coordinate geometry, sequences, transformations and proportion
- Coordinate Geometry — Gradient, Distance and Line Equations
- Sequences, Patterns and Nth-Term Generalisation
- Transformations, Symmetry, Coordinates and Invariants
- Direct and Inverse Proportion, Variation and Rates
Batch 07 · Trigonometry, solids, correlation and functions
- Trigonometry, Pythagoras, Bearings and Elevation
- Surface Area, Volume and Composite Solids
- Sampling, Scatter Plots, Correlation and Lines of Best Fit
- Functions, Domain, Range and Graph Behaviour
Batch 08 · Conditional probability, histograms, motion and approximation
- Probability Trees, Conditional Events and Without-Replacement Reasoning
- Histograms, Frequency Density and Grouped Data
- Distance–Time, Speed–Time and Motion Graphs
- Approximation, Significant Figures, Bounds and Error Intervals
Batch 09 · Matrices, non-right triangles, graph families and statistical displays
- Matrices, Data, Scalar Operations and Matrix Multiplication
- Sine Rule, Cosine Rule and Non-Right Triangles
- Power Functions, Exponential Graphs and Tangent Gradients
- Statistical Diagrams, Stem-and-Leaf, Pie Charts and Misleading Displays
Batch 10 · Circular measure, graphical solving, 3D trig and plane mensuration
- Radian Measure, Arc Length, Sector and Segment Area
- Graphical Solutions, Equations, Intersections and Roots
- Three-Dimensional Trigonometry and Spatial Diagrams
- Plane Mensuration, Parallelograms, Trapezia and Composite Figures
Batch 11 · Congruence, identities, fractional equations and pyramids
- Congruence Tests, Triangle Correspondence and Geometric Proof
- Algebraic Identities, Expansion and Factorisation
- Fractional Equations, Denominator Restrictions and Quadratic Reduction
- Pyramids, Prisms, Nets, Slant Heights and Mensuration
Batch 12 · Quadrilaterals, dot diagrams, Pythagoras converse and circle symmetry
- Special Quadrilaterals, Properties, Diagonals, Symmetry and Classification
- Data Collection, Frequency Tables, Dot Diagrams and Distributions
- Pythagoras Converse, Right-Triangle Tests and Pythagorean Triples
- Circle Symmetry, Equal Chords, Tangent Pairs and Centre Lines
Use the library as a repair system
If the first weak link is unclear, use How Mathematics Diagnosis Works. For year and subject-level routing, return to the BTT Secondary Mathematics Learning Hub. For the complete Primary-to-JC estate, return to the BTT Mathematics Hub.
This library is a routing layer over existing canonical guides. It does not replace school syllabus documents, the learner’s teacher instructions or the established topic owners elsewhere in the BTT Mathematics estate.