Free worked solutions · O-Level A-Math 2020
All 11 questions from O-Level / IP A-Math 2020 Paper 2, each with a verified step-by-step solution.
R-formula
8 marks: 4 + 4 · geometry & trigonometry (r-formula)
Simultaneous (one quadratic)
9 marks: 3 + 3 + 3 · algebra (quadratics: simultaneous, sign condition, tangency)
General term ⁿCr
6 marks: 3 + 3 · algebra (binomial theorem)
Tangent-chord (alternate segment) theorem
5 · geometry & trigonometry (alternate segment theorem; cyclic quadrilateral)
Quadratic inequality on a number line
8 marks: 4 + 2 + 2 · algebra (quadratic inequality; power-function graphs & indices)
Linearise y = Aeᵏˣ as ln P = kx + ln A
9 marks: 2 + 4 + 3 · algebra (linear law; exponential model)
Product rule + chain rule
11 marks: 5 + 4 + 2 · calculus (product + chain rule; reverse to integrate; signed area)
Quadratic in eˣ
10 marks: 3 + 4 + 3 · algebra (exponential & logarithmic equations)
Distance formula
11 marks: 7 + 3 + 1 · geometry & trigonometry (coordinate geometry; parallelogram)
Integrate f″ twice
12 marks: 5 + 4 + 3 · calculus (integrate from the 2nd derivative; tangent)
Volume of similar cones
11 marks: 3 + 4 + 4 · calculus (connected rates of change)
Genius Plus Academy · O-Level & IP Mathematics
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