Free worked solutions · O-Level A-Math 2024
All 13 questions from O-Level / IP A-Math 2024 Paper 1, each with a verified step-by-step solution.
Connected rates of change
3 marks · calculus (connected rates of change)
Chain rule on a surd
4 marks: 2 + 2 · calculus (chain rule, then reverse to integrate)
Compound-angle formula for ( + )
5 marks · trigonometry (compound-angle tangent)
Intersection of a line and a circle
6 marks · coordinate geometry (line meets curve, midpoint)
Term independent of x
7 marks: 4 + 3 · algebra (binomial: independent term, then a coefficient)
Angle in a semicircle
6 marks · geometry (alternate segment theorem, tangents, semicircle)
Rationalising a surd denominator
7 marks · algebra (surds in mensuration; no calculator)
Form a model with a constraint
7 marks: 3 + 4 · calculus (form a volume model, then maximise)
Completing the square
8 marks: 2 + 2 + 4 · algebra (completing the square; quadratic conditions)
Amplitude and period
8 marks: 2 + 3 + 3 · trigonometry (graph of a cosine; solve by drawing a line)
Resolve a length into components
9 marks: 2 + 5 + 2 · trigonometry (r-formula, maximum, solve)
Partial fractions with a repeated linear factor
10 marks: 5 + 5 · algebra / calculus (partial fractions, then integrate)
Tangent and normal
10 marks: 4 + 6 · calculus (tangent and normal, area)
Genius Plus Academy · O-Level & IP Mathematics
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