Free worked solutions · O-Level A-Math 2023
All 9 questions from O-Level / IP A-Math 2023 Paper 2, each with a verified step-by-step solution.
Binomial general term
5 marks · algebra (binomial: coefficient of x^3)
Tangent-chord (alternate segment)
9 marks: 4 + 5 · geometry (similar triangles; tangent and semicircle)
Exponential model
9 marks: 1 + 3 + (2 + 3) · algebra (exponential-decay models)
Double-angle identity
10 marks: 5 + 5 · trigonometry (exact values; no calculator)
Differentiate 3x
10 marks: 7 + 3 · calculus (second derivatives, match coefficients)
Factor theorem
12 marks: 5 + 5 + 2 · algebra (factor theorem; exponential equation)
Amplitude and period
11 marks: 2 + 3 + 6 · trigonometry & kinematics
Area of isosceles triangles
12 marks: 3 + 2 + 2 + 5 · trigonometry (area, r-formula)
Model time = distance/speed
12 marks: 3 + 6 + 3 · calculus (minimisation)
Genius Plus Academy · O-Level & IP Mathematics
Our O-Level A-Math tuition trains the same recognise-the-structure method these worked solutions show, taught by a team that has marked these papers for years. It runs within our weekly Secondary Math programme, Sec 1 to 4 and IP.
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