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Progression Test Stage 9 Mathematics 2020 Paper 2 pdf

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1. Algebra: simplifying indices, nth-term sequence analysis, expanding expressions, solving formulas, collecting like terms, making variables the subject, expression evaluation with substitution. 2. Geometry: angle facts (parallel lines, polygon interior angle), 2D transformations (enlargement, centre, scale factor), properties of shapes (planes of symmetry in prisms), perimeter and volume (cylinder, semicircle), composite area. 3. Graphs: table of values and plotting parabolic graph (y = x² − 4), identifying gradient, common properties of linear functions, enlargement transformation on coordinate grid. 4. Data handling: grouped frequency table, frequency polygon completion, median class, range estimation, interpreting comparison data (mean and range), improving biased comparisons. 5. Ratio and proportion: reverse calculations in ratios (e.g. counters in bags), direct proportion (workers and time), percent increase/decrease (laptop prices), solving contextual problems with proportional reasoning. 6. Probability: calculating compound probability, interpreting given probabilities in fractions and percentages, distribution table completion, understanding bias in sample selection.
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