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Cambridge · Form 2 · Syllabus 4024

Mathematics

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  1. Number: types, factors, standard form and bounds Natural numbers, integers, prime numbers, square and cube numbers, rational and irrational numbers (√2, π), reciprocals. Notes 1 PDF
  2. Ratio, percentage, money and rates Share in a ratio by dividing into parts; direct and inverse proportion (y = kx, y = k/x). Notes 1 PDF
  1. Algebraic manipulation Simplify, expand brackets (including (a + b)(c + d)), and factorise: common factors, difference of two squares (a² − b² = (a − b)(a + b)), quadratics and grouping. Notes 1 PDF
  2. Equations and inequalities Collect like terms and use inverse operations; equations with fractions (multiply through by the LCM). Notes 1 PDF
  1. Geometry: angles, polygons, circles and constructions Angles on a straight line (180°), at a point (360°), vertically opposite, corresponding and alternate angles (parallel lines), angles in triangles and quadrilaterals. Notes 1 PDF
  1. Mensuration Rectangle, triangle (½bh or ½ab sin C), parallelogram, trapezium (½(a + b)h), circle (A = πr², C = 2πr), compound shapes. Notes 1 PDF
  2. Probability P(event) = number of favourable outcomes ÷ total equally likely outcomes; 0 ≤ P ≤ 1; P(not A) = 1 − P(A). Relative frequency estimates probability from experiments; expected frequency = P × number of trials. Notes 1 PDF
  3. Statistics Tally charts, frequency tables, bar charts, pie charts, pictograms, stem-and-leaf diagrams, scatter diagrams (correlation and line of best fit), histograms with unequal class widths (frequency density = frequency ÷ class width), cumulative frequency curves and box plots. Notes 1 PDF