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Cambridge · O Level · Syllabus 4024

Mathematics

11 topics11 with notes

ZIMSEC Grade 7 ZIMSEC O Level Cambridge O Level Cambridge A Level
Form 4Writing O Level finals this year?Revision mode: every Mathematics past paper by year, with marking schemes, and a checklist of the whole syllabus.
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Form 1 2 topics

  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

Form 2 2 topics

  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

Form 3 1 topics

  1. Sequences, functions and graphs nth term of a linear sequence: dn + (first term − d). Quadratic sequences have a constant second difference. Notes 1 PDF

Form 1 1 topics

  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

Form 2 1 topics

  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

Form 3 2 topics

  1. Trigonometry Pythagoras' theorem a² + b² = c²; SOH CAH TOA; angles of elevation and depression; bearings (three-figure, measured clockwise from north). Notes 1 PDF
  2. Vectors and transformations Column vectors; addition, subtraction and multiplication by a scalar; magnitude |(x, y)| = √(x² + y²); position vectors; vector geometry (showing points are collinear or lines parallel). Notes 1 PDF

Form 2 2 topics

  1. 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
  2. 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