Free worked solutions · O-Level A-Math 2021
All 10 questions from O-Level / IP A-Math 2021 Paper 2, each with a verified step-by-step solution.
Substitution u=e^x
5 marks · algebra (exponential equation; quadratic in e^x)
Factor theorem
5 marks · algebra (factor theorem; cubic)
Product/chain rule
8 marks: 4 + 4 · calculus (differentiation then integration)
Resolve vertical components
9 marks: 2 + 4 + 3 · trigonometry (r-formula; maximum height)
Quadratic inequality
9 marks: 4 + 3 + 2 · algebra (quadratic inequality; tangency by discriminant)
Binomial general term
9 marks: 4 + 2 + 3 · algebra (binomial; coefficients in a product)
Linearise d=av^2+bv via d/v
11 marks: 4 + (4 + 2 + 1) · algebra (linear law; exponential model)
Solve exponential equation
10 marks: 3 + 3 + 4 · calculus (kinematics; exponential velocity)
Equation of a circle
12 marks: 3 + 2 + 1 + 6 · coordinate geometry (circle; tangents)
Stationary point of a trig curve
12 marks · calculus (area between a curve and a chord)
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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