Sec · O-Level

Additional Maths Prompt Templates

35 templates for Syllabus 4049 — Algebra, Geometry & Trigonometry, Calculus, and exam technique.

Syllabus 4049 at a glance

Paper 1

Algebra & Geometry

44%

2h 30m

12–14 questions, up to 10 marks each

Paper 2

Full Syllabus

56%

2h 30m

9–11 questions, up to 12 marks each

3 strands: Algebra · Geometry & Trig · CalculusFormulae sheet providedShow-that proofs: must start from givenDiscriminant: memorise all 3 conditions

Algebra Geometry & Trigonometry Calculus Exam Technique

Additional Maths Prompt Templates

Syllabus 4049 at a glance

Algebra

Solve quadratic equations and analyse the discriminant

Apply the Factor Theorem and Remainder Theorem

Decompose fractions into partial fractions

Expand binomials and find specific terms

Solve exponential and logarithmic equations

Solve inequalities algebraically and graphically

Simplify surds and solve equations with indices

Sketch quadratic graphs and interpret their features

Sketch modulus functions and solve modulus equations

Solve simultaneous equations (one linear, one non-linear)

Functions, Domain, Range and Inverse

Disguised Polynomial Equations by Substitution

Logarithmic Models for Growth and Decay

Geometry & Trigonometry

Solve coordinate geometry problems

Apply trigonometric identities and solve equations

Sketch and transform trigonometric graphs

Write geometry proofs using congruence and similarity

Apply sum-to-product and factor formulae

Apply circle theorems in coordinate geometry

Sine Rule, Cosine Rule and the Ambiguous Case

Locus Problems

Area of Triangle Using ½ab sin C

Calculus

Differentiate using chain, product, and quotient rules

Solve rates of change and optimisation problems

Integrate by recognition and substitution

Calculate areas under curves and solve kinematics

Differentiate implicitly and find dy/dx for curves

Apply integration to find areas and volumes

Differentiate and analyse parametric curves

Curve Sketching with First and Second Derivatives

Connected Rates of Change

Separation of Variables (Differential Equations)

Exam Technique

Approach A Math show-that and prove questions

Plan time and check answers in A Math papers

A Math Common Error Checklist