Cambridge · Form 3 · Syllabus 4024
Mathematics
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- 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.
- Equations and inequalities Collect like terms and use inverse operations; equations with fractions (multiply through by the LCM).
- Trigonometry Pythagoras' theorem a² + b² = c²; SOH CAH TOA; angles of elevation and depression; bearings (three-figure, measured clockwise from north).
- 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).
- 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.
- 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.