CIE AS & A Level Maths : Pure Mathematics Paper 2 Exam Questions New Syllabus - 2025-2027
CIE A Level Maths : Pure Mathematics Paper 2 Exam Questions – New Syllabus 2025-2027
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Pure Mathematics 2 – Paper 2
Topic-wise Exam Style Questions with syllabus-based subtopics for Paper \(2\)
Algebra
- Meaning and use of \(|x|\)
- Graphs of \(y=|ax+b|\)
- Equations and inequalities involving modulus
- Polynomial division by a linear or quadratic polynomial
- Factor theorem and remainder theorem
Logarithmic & Exponential Functions
- Relationship between logarithms and indices
- Laws of logarithms
- Properties and graphs of \(e^x\) and \(\ln x\)
- Solving equations and inequalities using logarithms
- Transforming relationships to linear form
Trigonometry
- Secant, cosecant and cotangent functions
- Graphs and properties of all \(6\) trigonometric functions
- Identities such as \(\sec^2\theta=1+\tan^2\theta\) and \(\csc^2\theta=1+\cot^2\theta\)
- Expansions of \(\sin(A\pm B)\), \(\cos(A\pm B)\) and \(\tan(A\pm B)\)
- Formulae for \(\sin 2A\), \(\cos 2A\) and \(\tan 2A\)
- Expressing \(a\sin\theta+b\cos\theta\) as \(R\sin(\theta\pm\alpha)\) or \(R\cos(\theta\pm\alpha)\)
Differentiation
- Derivatives of \(e^x\), \(\ln x\), \(\sin x\), \(\cos x\) and \(\tan x\)
- Constant multiples, sums, differences and composites
- Product rule
- Quotient rule
- Parametric and implicit differentiation
Integration
- Integration of \(e^{ax+b}\)
- Integration of \(\frac{1}{ax+b}\)
- Integration of \(\sin(ax+b)\), \(\cos(ax+b)\) and \(\sec^2(ax+b)\)
- Using trigonometric relationships in integration
- Trapezium rule for estimating definite integrals
Numerical Solution of Equations
- Locating roots graphically
- Searching for a sign change
- Sequences of approximations
- Iterative formulae of the form \(x_{n+1}=F(x_n)\)
- Finding roots to a required degree of accuracy
Pure Mathematics \(2\) – Paper \(2\) Full Access
Get complete access to CIE AS & A Level Mathematics \(9709\) Paper \(2\) topic-wise questions with detailed solutions.
AS & A Level Maths Paper \(2\) – Full Access