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International GCSE

Cambridge IGCSE Mathematics 0580 · Core

Dedicated Core teaching, practice and assessment

Core-only editions follow the 2028–2030 content limits. Papers 1 and 3 are the non-calculator and calculator Core examination routes; these original classroom checkpoints are not official mocks. For examinations in 2027, use the earlier syllabus. Pearson International GCSE Foundation is a different qualification and is not this Core route.

Official source: Cambridge 0580 Core · 2028–2030 syllabus, version 2

Two-year teaching plan · 72 teaching weeks

Plan around four mathematics periods per week. Each module has three suggested sessions: explanation and worked examples; practice with correction; written application and feedback. Spread 44 modules over weeks 1–60, allowing extra time for difficult concepts. Use the remaining periods for diagnostics, retrieval, investigations and reteaching. Weeks 61–72 consolidate mixed problems and board-specific examination preparation.

Begin each term with retrieval and finish with a cumulative checkpoint. These original assessments support learning; they are not calibrated official mock exams and do not generate qualification grades. Use your board’s authorised specimen materials for final exam-format preparation.

Use the dedicated Foundation or Core route for lower-tier learners. Its lesson editions, practice and assessment papers are selected together; higher-tier extensions remain in the separate Higher and Extended routes. Review written reasoning alongside saved checks.

Course map and syllabus evidence

References are editorial links to syllabus topics, not certification that every possible examination problem is represented. Open a module in your workspace for teaching, examples, practice and its protected markscheme.

Number
  1. Signed numbers and operation order

    Core · 3 models · 12 checks · written application

    C1.5 · C1.6

  2. Primes, factors and multiples

    Core · 3 models · 12 checks · written application

    C1.1

  3. Fractions and mixed numbers

    Core · 3 models · 12 checks · written application

    C1.4 · C1.6

  4. Decimals, fractions and percentages

    Core · 3 models · 12 checks · written application

    C1.4 · C1.6

  5. Powers, roots and index laws

    Core · 3 models · 12 checks · written application

    C1.1 · C1.3 · C1.7 · C2.4

  6. Standard form and calculator displays

    Core · 3 models · 12 checks · written application

    C1.8 · C1.14

  7. Estimation, rounding and error intervals

    Core · 3 models · 12 checks · written application

    C1.9 · C1.10

Ratio and rates
  1. Ratios, sharing and proportional reasoning

    Core · 3 models · 12 checks · written application

    C1.11

  2. Percentages and simple and compound interest

    Core · 3 models · 12 checks · written application

    C1.13

  3. Units, money, timetables and compound measures

    Core · 3 models · 12 checks · written application

    C1.12 · C1.15 · C1.16 · C5.1

  4. Scale drawings and best value

    Core · 3 models · 12 checks · written application

    C1.11 · C4.3

Algebra
  1. Algebraic language and substitution

    Core · 3 models · 12 checks · written application

    C2.1

  2. Expanding two brackets and common factors

    Core · 3 models · 12 checks · written application

    C2.2

  3. Linear equations and modelling

    Core · 3 models · 12 checks · written application

    C2.5

  4. Changing the subject of simple formulae

    Core · 3 models · 12 checks · written application

    C2.5

  5. Simultaneous linear equations

    Core · 3 models · 12 checks · written application

    C2.5

  6. One-variable inequalities and number lines

    Core · 3 models · 12 checks · written application

    C2.6

  7. Linear, figurate and recursive sequences

    Core · 3 models · 12 checks · written application

    C2.7

  8. Simple quadratic and cubic sequences

    Core · 3 models · 12 checks · written application

    C2.7

Graphs
  1. Straight-line graphs and gradients

    Core · 3 models · 12 checks · written application

    C3.2 · C3.3 · C3.5 · C3.6

  2. Coordinates, practical graphs and quadratic curves

    Core · 3 models · 12 checks · written application

    C2.9 · C2.10 · C2.11 · C3.1

Geometry
  1. Angle facts, triangles and polygons

    Core · 3 models · 12 checks · written application

    C4.6

  2. Quadrilaterals, symmetry and solids

    Core · 3 models · 12 checks · written application

    C4.1 · C4.5

  3. Similar lengths and congruent triangles

    Core · 3 models · 12 checks · written application

    C4.4

  4. Measuring, SSS construction and nets

    Core · 3 models · 12 checks · written application

    C4.2

  5. Nets and solid faces

    Core · 3 models · 12 checks · written application

    C4.1 · C4.2

  6. Bearings and scale geometry

    Core · 3 models · 12 checks · written application

    C4.3 · C6.2

  7. Reflections, rotations and translations

    Core · 3 models · 12 checks · written application

    C7.1

  8. Enlargement with positive scale factors

    Core · 3 models · 12 checks · written application

    C7.1

  9. Angles in semicircles and radius–tangent angles

    Core · 3 models · 12 checks · written application

    C4.7

Mensuration
  1. Perimeter, area and compound shapes

    Core · 3 models · 12 checks · written application

    C5.2 · C5.5

  2. Circle measures, arcs and sectors

    Core · 3 models · 12 checks · written application

    C5.3

  3. Prisms, cylinders and surface area

    Core · 3 models · 12 checks · written application

    C5.4 · C5.5

  4. Cones, pyramids, spheres and composite solids

    Core · 3 models · 12 checks · written application

    C5.4 · C5.5

Trigonometry
  1. Pythagoras and its converse

    Core · 3 models · 12 checks · written application

    C6.1

  2. Right-triangle trigonometry

    Core · 3 models · 12 checks · written application

    C6.2

Probability
  1. Two-set Venn diagrams

    Core · 3 models · 12 checks · written application

    C1.2 · C8.1

  2. Probability scale and exhaustive outcomes

    Core · 3 models · 12 checks · written application

    C8.1

  3. Experiments, relative frequency and expected counts

    Core · 3 models · 12 checks · written application

    C8.2

  4. Sample spaces, tables and independent events

    Core · 3 models · 12 checks · written application

    C8.3

Statistics
  1. Mean, median, mode, range and comparisons

    Core · 3 models · 12 checks · written application

    C9.2 · C9.3

  2. Ungrouped frequency tables and data types

    Core · 3 models · 12 checks · written application

    C9.1 · C9.3

  3. Bar charts, pie charts, pictograms and stem-and-leaf

    Core · 3 models · 12 checks · written application

    C9.1 · C9.4

  4. Scatter diagrams, lines of best fit and interpretation

    Core · 3 models · 12 checks · written application

    C9.2 · C9.5

Review edition · Mathematical keys and application criteria are checked before release. Independent human subject moderation and board-specific paper calibration remain pending.