1. Number and operations: directed number subtraction, decimal and fraction conversions, order of operations (BIDMAS), estimating division results, equivalence identification
2. Probability and statistics: likelihood ranking, simple probability calculation, experimental design for biased coin, two-way table completion, fraction allocation from shared total
3. Algebra and sequences: function machines, nth term, term-to-term rule, expression for value, solving equation chains, completing proportional equations
4. Geometry and measurement: triangle enlargement, angle preservation, drawing parallel lines, shape properties (faces, edges, vertices), coordinates after transformation (translation, rotation, reflection), quadrilateral symmetry recognition
5. Ratio, percentage, and proportion: part-to-whole comparisons, percentage and fraction calculations, ratio-based sharing, unit cost breakdown, lemonade distribution problem
6. Graphs and formulae: plotting currency conversion graph, writing conversion formula (e.g. y = 16x), interpreting real-world data from visual representations