O Level / IGCSE Mathematics (4024 / 0580): Most Repeated May–June Questions — by AYLOTI, Hunain Zia (Educate A Change)
Outline
- Algebraic Manipulation Questions That Appear Every Year
- Linear Equations and Simultaneous Equations (High-Frequency Types)
- Quadratic Equations: Solving, Factorising, and Formula-Based Questions
- Indices and Standard Form: Common Exam Traps
- Percentages, Ratio, and Proportion (Guaranteed Marks Section)
- Speed, Distance, Time and Real-Life Word Problems
- Sequences: Finding the nth Term and Missing Terms
- Functions and Graph Interpretation Questions
- Coordinate Geometry: Gradient, Distance, and Midpoint
- Trigonometry in Right-Angled Triangles (SOHCAHTOA Focus)
- Trigonometry in Non-Right-Angled Triangles (Sine and Cosine Rule)
- Pythagoras’ Theorem and 3D Problems
- Mensuration: Area and Volume of Compound Shapes
- Circle Theorems That Repeat in Almost Every Session
- Transformations: Reflection, Rotation, Enlargement, Translation
- Vectors: Magnitude, Column Vectors, and Simple Proofs
- Probability Questions That CAIE Recycles
- Statistics: Mean, Median, Mode, and Cumulative Frequency
- Graphs That Are Commonly Tested in Paper 2
- Algebraic Fractions and Rational Expressions
- Inequalities and Number Line Representation
- Sets and Venn Diagrams (Easy Marks, Often Missed)
- Bearing Questions with Diagrams
- Linear Programming and Region Shading
- Last-Minute Examiner Favourite Questions to Revise Before the Exam
Algebraic Manipulation Questions That Appear Every Year
- Simplifying expressions involving brackets, powers, and fractions
- Factorising common factors, difference of two squares, and trinomials
- Expanding double brackets correctly (especially sign errors)
- Rearranging formulas to make a subject
- Cancelling algebraic fractions properly (factor first, cancel later)
These questions appear almost every May–June paper and are often where students lose marks due to rushed simplification or skipped steps.
Written and Compiled By Sir Hunain Zia (AYLOTI), World Record Holder With 154 Total A Grades, 11 World Records and 7 Distinctions, Educate A Change
Linear Equations and Simultaneous Equations (High-Frequency Types)
- Solving linear equations with fractions on both sides
- Forming equations from word problems
- Solving simultaneous equations by:
- Substitution
- Elimination
- Identifying inconsistent or no-solution systems
CAIE loves testing whether students can form equations correctly, not just solve them.
Quadratic Equations: Solving, Factorising, and Formula-Based Questions
- Solving by factorisation
- Solving using the quadratic formula
- Completing the square (occasionally tested)
- Identifying number of solutions using the discriminant
- Word problems leading to quadratic equations
May–June papers almost always include at least one quadratic worth solid marks.
Indices and Standard Form: Common Exam Traps
- Laws of indices with:
- Negative powers
- Fractional powers
- Converting numbers to and from standard form
- Calculations involving standard form on calculators
- Rounding answers correctly to significant figures
Mistakes usually happen when students forget that negative powers mean reciprocals.
Percentages, Ratio, and Proportion (Guaranteed Marks Section)
- Percentage increase and decrease
- Reverse percentage problems
- Ratio simplification
- Sharing quantities in a given ratio
- Proportion problems involving scaling
These are among the highest return-on-effort topics in O Level / IGCSE Maths.
Written and Compiled By Sir Hunain Zia (AYLOTI), World Record Holder With 154 Total A Grades, 11 World Records and 7 Distinctions, Educate A Change
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Speed, Distance, Time and Real-Life Word Problems
- Using the formula: speed = distance ÷ time
- Converting units correctly (km/h to m/s)
- Average speed problems
- Multi-part journey questions
These questions test clarity of thinking more than calculation difficulty.
Sequences: Finding the nth Term and Missing Terms
- Arithmetic sequences
- Finding common difference
- Writing the nth term formula
- Finding specific terms
- Solving sequence-based word problems
CAIE frequently repeats nth term questions with slight variations.
Functions and Graph Interpretation Questions
- Function notation f(x)
- Substituting values into functions
- Composite functions (simple cases)
- Reading information from function graphs
Students often lose marks due to notation confusion, not maths ability.
Coordinate Geometry: Gradient, Distance, and Midpoint
- Finding gradient between two points
- Using gradient formula
- Distance formula
- Midpoint formula
- Identifying parallel and perpendicular lines
These are extremely predictable in May–June papers.
Trigonometry in Right-Angled Triangles (SOHCAHTOA Focus)
- Using sine, cosine, and tangent
- Finding missing sides
- Finding missing angles
- Word problems involving heights and distances
This is one of the most repeated sections across decades.
Written and Compiled By Sir Hunain Zia (AYLOTI), World Record Holder With 154 Total A Grades, 11 World Records and 7 Distinctions, Educate A Change
Trigonometry in Non-Right-Angled Triangles (Sine and Cosine Rule)
- Applying sine rule
- Applying cosine rule
- Finding unknown sides
- Finding unknown angles
- Area of triangle using trigonometry
Usually appears once, but worth high marks.
Pythagoras’ Theorem and 3D Problems
- Basic Pythagoras in triangles
- Combined shapes
- 3D solids (cuboids, prisms)
- Using Pythagoras twice in one question
Students often forget to identify the right triangle inside the solid.
Mensuration: Area and Volume of Compound Shapes
- Area of combined shapes
- Volume of prisms and cylinders
- Surface area calculations
- Using π correctly
- Unit consistency
These questions reward systematic working, not speed.
Circle Theorems That Repeat in Almost Every Session
- Angle at centre vs angle at circumference
- Angles in the same segment
- Tangents and radii
- Cyclic quadrilaterals
Circle theorems are among the most recycled CAIE questions.
Written and Compiled By Sir Hunain Zia (AYLOTI), World Record Holder With 154 Total A Grades, 11 World Records and 7 Distinctions, Educate A Change
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Transformations: Reflection, Rotation, Enlargement, Translation
- Identifying type of transformation
- Describing transformations fully
- Drawing transformed shapes
- Scale factor and centre of enlargement
Marks are lost mainly due to incomplete descriptions.
Vectors: Magnitude, Column Vectors, and Simple Proofs
- Writing vectors in column form
- Adding and subtracting vectors
- Finding magnitude of a vector
- Simple vector proofs
Vectors are usually short but high-impact.
Probability Questions That CAIE Recycles
- Simple probability
- Combined events
- Mutually exclusive events
- Tree diagrams
- Probability from tables
CAIE often changes context, not structure.
Statistics: Mean, Median, Mode, and Cumulative Frequency
- Calculating averages
- Grouped data
- Cumulative frequency graphs
- Finding median and quartiles
Graph-reading accuracy is crucial here.
Graphs That Are Commonly Tested in Paper 2
- Straight-line graphs
- Distance–time graphs
- Speed–time graphs
- Interpreting gradients and areas
These questions combine math + interpretation.
Algebraic Fractions and Rational Expressions
- Simplifying algebraic fractions
- Solving equations involving fractions
- Restrictions on variables
Factor first, then cancel — always.
Inequalities and Number Line Representation
- Solving linear inequalities
- Representing solutions on number lines
- Double inequalities
Marks are often lost due to incorrect shading.
Sets and Venn Diagrams (Easy Marks, Often Missed)
- Set notation
- Union and intersection
- Complement of a set
- Filling Venn diagrams correctly
This topic is low difficulty but frequently mishandled.
Bearing Questions with Diagrams
- Measuring bearings clockwise from North
- Three-figure bearings
- Drawing accurate diagrams
- Applying trigonometry in bearings
Diagram accuracy determines success here.
Linear Programming and Region Shading
- Drawing inequalities
- Identifying feasible regions
- Finding optimal solutions
- Reading values from graphs
These are almost guaranteed in extended papers.
Last-Minute Examiner Favourite Questions to Revise Before the Exam
- Algebra simplification
- Trigonometry basics
- Percentages
- Graph interpretation
- Circle theorems
These areas repeatedly appear because they test core mathematical understanding.
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