Cambridge IGCSE · Analysis & Prediction

2026 Cambridge IGCSE Mathematics (0580) Past Paper: Analysis & Answers

The May/June 2026 series for Cambridge IGCSE Mathematics (0580/23 and 0580/43) provides a balanced assessment covering both non-calculator fundamentals and sophisticated multi-step calculator applications. Core differentiators include algebraic rearranging and fractions, exact trigonometric values, non-linear coordinate geometry, calculus stationary points, and 3D mensuration/frustums.

Updated: Sep 23, 2026

Analysis Sample paper

Difficulty 3.4/5

Total marks

200

Duration

240 mins

Most tested

Algebra and graphs (Manipulations, Functions & Calculus)

Paper breakdown

Paper 2 (Extended Non-Calculator) 0580/23: 100 marks · 120 minsPaper 4 (Extended Calculator) 0580/43: 100 marks · 120 mins

Top chapters

Algebraic manipulation · 16 marksNon-right-angled triangles · 12 marksGraphs of functions · 10 marks

Executive Summary & Overview

The May/June 2026 examination series for IGCSE Mathematics 0580 (comprising Paper 23 Non-Calculator and Paper 43 Calculator) presents an equitable distribution of assessment objectives. Paper 2 tests arithmetic fluency, exact values, algebraic manipulation, and geometric reasoning without digital aids, while Paper 4 emphasizes contextual modelling, geometric problem solving, calculus, and multi-step trigonometry.

Mark Distribution & High-Yield Domains

Marks are heavily concentrated across five dominant areas:

Algebra & Graphs (approx. 56 marks): Includes algebraic fractions, rearranging complicated formulas, quadratic factorisation, functions composition/inverses, and exponential function plotting alongside asymptote identification.
Calculus & Stationary Points (8 marks): Differentiation of cubic functions \(\frac{\mathrm{d}y}{\mathrm{d}x}\) to locate stationary points and classification via the second derivative \(\frac{\mathrm{d}^2y}{\mathrm{d}x^2}\).
Geometry & Trigonometry (approx. 48 marks): Sine and cosine rules, exact values of \(\tan 60^\circ\), 3D Pythagoras, circle theorems, and transformations.
Mensuration (approx. 16 marks): Exact sector areas in terms of \(\pi\), sphere volume, and cone frustum volume decomposition.
Probability & Statistics (approx. 24 marks): Grouped mean estimations, conditional probability without replacement, and scatter diagrams.

Key Pitfalls & Candidate Traps

Examiner analyses highlight recurring areas where marks are unnecessarily dropped:

Transformation descriptions: Giving two transformations instead of a single one (e.g. reflection combined with translation) instantly loses all 3 marks. Missing negative enlargement signs or inaccurate centres.
Exact Value & Surds: Leaving surd denominators unrationalised or approximating \(\sqrt{3}\) on Paper 2 where non-calculator exact expressions are mandatory.
Premature Rounding: Rounding intermediate values during multi-step trigonometry or financial compound interest calculations leading to inaccurate final 3 significant figure answers.

Preparation Strategy

Students should master algebraic fraction addition, step-by-step differentiation and justification for maximum/minimum turning points, and geometric similarity ratios applied to both surface area and volume contexts.

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Charts

Marks by chapter

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Question type mix

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Short Answer (1-2 marks)48 marks · 32 questions
Structured Method (3-4 marks)98 marks · 28 questions
Extended Multi-step (5+ marks)54 marks · 9 questions

Mark accessibility

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79%within easy or medium reach

easy: 72 marksmedium: 86 markshard: 42 marks

Difficulty trend

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Command word frequency

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Skill weighting

Shows the skill mix this paper tested most heavily.

Study ROI

Higher bubbles carry more marks; bubbles further left are easier. Start with the topics that sit high and to the left.

Algebraic manipulation & Rearranging formulas

16 marks · Difficulty 2.4

Non-right-angled triangles (Sine & Cosine Rules)

12 marks · Difficulty 3

Financial Maths & Exponential Decay

9 marks · Difficulty 2.5

Geometric Transformations

9 marks · Difficulty 2.8

Differentiation & Stationary Points

8 marks · Difficulty 3.2

Functions (Composite, Inverse & Exponential)

8 marks · Difficulty 2.7

Time vs marks

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marksmins

Next-year prediction

Topics worth watching next year, and why. These are informed guesses from past papers, not a forecast.

Sequences (nth term of quadratic and cubic sequences)

Completely missing from this series despite historically commanding 4-8 marks per series.

Cumulative frequency diagrams & Box plots

Absent from this variant series, having previously appeared regularly as an 8-mark core component.

Histograms with unequal class widths

No histogram question appeared on either component in this sitting; frequency density calculations are highly probable in the next series.

Linear programming and shading regions

Only basic number line inequalities appeared; graphical region inequalities with dashed/solid boundary lines are expected soon.

Cumulative marks ladder

The line is your running mark total question by question; dashed lines are the estimated grade boundaries, taken from the table below when this year's are known. See which question the line crosses your target grade at, so you know how far you must answer cleanly and which questions decide a band.

Topic-year heatmap

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Jun 2023 (V1)

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Jun 2023 (V3)

Nov 2023 (V1)

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Jun 2024 (V1)

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Mar 2026 (V2)

Jun 2026 (V1)

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Algebraic manipulation

Surface area and volume

Non-right-angled triangles

Equations

Percentages

Transformations

Probability of combined events

Graphs of functions

Circles, arcs and sectors

Sequences

Examiner insights

Official report

Common pitfalls

Transformations: Offering two transformations (e.g. reflection and rotation) for a single question results in zero marks immediately.
Inequalities: Confounding strict inequality symbols (<) with non-strict (<=) when translating from solid/empty dots on a number line.
Standard Form: Failing to convert final answers back to proper standard form (e.g., leaving 11 * 10^3 instead of 1.1 * 10^4).
Perpendicular Line Gradient: Neglecting the negative reciprocal rule (m2 = -1/m1) and using parallel or reciprocal slopes instead.
Calculus Coordinates: Finding x-coordinates of stationary points but omitting substitution back into original y(x) equation.

Misconceptions

Believing that similarity area scale factors apply linearly instead of as k^2, or using linear scale factor directly for cone frustum volumes.
Assuming angles on a line subtended by a diameter can be labeled 'right-angled triangle in a semicircle' rather than the exact required syllabus wording 'angle in a semicircle'.
Confusing compound interest annual multiplier (1 + r/100) with simple interest, or misapplying logs/trial-and-error iterations.

Where marks are lost

Paper 2 Q18(a) & Q24: Sign errors during binomial expansion in algebraic fraction numerators and quadratic proofs.
Paper 4 Q13(a): Incomplete geometric justification when showing a triangle is isosceles (finding one angle but failing to state the matching angle pair or side equality explicitly).
Paper 4 Q21: Frustum height confusion where candidates fail to subtract the smaller top cone height from the entire cone setup.

Estimated grade boundary

Updated: Sep 23, 2026

Source: Cambridge IGCSE grade thresholds (official)

Grade	Mark	Percentage
A*	177/200	89%
A	154/200	77%
B	124/200	62%
C	94/200	47%
D	71/200	36%
E	49/200	25%

Official grade boundaries published by Cambridge IGCSE grade thresholds (official).

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