Free worked solutions · O-Level A-Math 2020
All 12 questions from O-Level / IP A-Math 2020 Paper 1, each with a verified step-by-step solution.
Sum & product of roots
5 · algebra (sum & product of roots → new equation)
Laws of indices
5 marks: 3 + 2 · algebra (indices in prime factors; exponential growth)
Partial fractions (improper
5 · algebra (partial fractions, improper)
Quotient rule
4 · calculus (quotient rule; increasing function)
Modulus graph
4 · algebra (modulus graph; line intersection condition)
Stationary points
6 · calculus (stationary points; second-derivative test)
Reciprocal ratios (sec
7 · geometry & trigonometry (trig equation via identities)
Remainder theorem
7 marks: 3 + 4 · algebra (remainder & factor theorems)
Equation of a circle (general → centre/radius form)
7 marks: 4 + 3 · geometry & trigonometry (equation of a circle; tangent)
Solve cos 2x = k in range
9 marks: 3 + 6 · calculus + trigonometry (solve trig equation; exact area)
Find a constant via ln
10 marks: 1 + 6 + 3 · calculus (kinematics from a speed function)
Compound-angle expansion
11 marks: 2 + 1 + 2 + 1 + 2 + 3 · geometry & trigonometry (compound angles; no calculator)
Genius Plus Academy · O-Level & IP Mathematics
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