CIE AS & A Level Maths : Pure Mathematics Paper 1 Exam Style Questions - New Syllabus - 2025-2027
CIE A Level Maths : Pure Mathematics Paper 1 Exam Questions – New Syllabus 2025-2027
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CIE AS & A Level Math Practice Questions, Past Papers , Flashcards and notes available for CIE AS & A Level Students at IITian Academy.
Pure Mathematics 1 – Paper 1
Topic-wise Exam Style Questions with syllabus-based subtopics for Paper \(1\)
Quadratics
- Completing the square
- Discriminant and real roots
- Quadratic equations and inequalities
- Linear and quadratic simultaneous equations
- Equations quadratic in a function of \(x\)
Functions
- Domain, range and one-one functions
- Composite functions
- Inverse functions
- Graph of a function and its inverse
- Transformations of \(y=f(x)\)
Coordinate Geometry
- Straight-line equations
- Gradients, midpoints and intersections
- Parallel and perpendicular lines
- Circle equation and radius
- Lines and circles using algebra
Circular Measure
- Definition of a radian
- Degrees and radians
- Arc length using \(s=r\theta\)
- Sector area using \(A=\frac{1}{2}r^2\theta\)
- Lengths and areas in triangles
Trigonometry
- Graphs of sine, cosine and tangent
- Exact values for \(30^\circ\), \(45^\circ\), \(60^\circ\)
- Inverse trigonometric notation
- Basic trigonometric identities
- Solving trigonometric equations
Series
- Binomial expansion of \((a+b)^n\)
- Arithmetic progressions
- Geometric progressions
- Sum of first \(n\) terms
- Sum to infinity of a convergent GP
Differentiation
- Gradient of a curve
- First and second derivatives
- Differentiating powers of \(x\)
- Tangents, normals and rates of change
- Stationary points and curve sketching
Integration
- Integration as reverse differentiation
- Finding constants of integration
- Definite integrals
- Area under and between curves
- Volumes of revolution
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