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CAPE Pure Mathematics

CAPE Pure Mathematics Units 1 and 2 module by module: logic, algebra, trigonometry, vectors, calculus, complex numbers, series, matrices and differential equations, plus the internal assessment, past papers and exam days.

Free · Mac (Apple silicon) and Windows · v1.0.0 · Other platforms

Then open the Marketplace in the app, search for CAPE Pure Mathematics, and click Install. It goes into your own files, and works offline from then on.

What it installs.

1

Pillar

1

Area

50

Projects

200

Starter tasks

📝 Caribbean School Exams

CAPE Pure Mathematics

Studying CAPE Pure Mathematics Units 1 and 2: algebra and functions, trigonometry, calculus, sequences and series, and complex numbers, with past papers and the internal assessment.

  1. CAPE Pure Maths syllabus and paper format check
  2. Taking Unit 1, Unit 2 or both in one year
  3. Bridging diagnostic from CSEC Add Maths to CAPE
  4. Choosing an approved calculator for CAPE Pure Maths
  5. Two-year Pure Maths study timetable counted back from the sittings
  6. Past paper bank sorted by unit and module
  7. Handwritten results and formula sheets for each module
  8. Error log and proof notebook
  9. Daily twenty-five-minute technique drill
  10. Weekly exercise set from the current module
  11. Saturday timed Paper 02 question
  12. Sunday error log review and rewrite
  13. Monthly timed multiple choice set
  14. Spaced review rotation of finished modules
  15. Pure Maths score log by module and paper
  16. Parent monthly Pure Maths check-in
  17. Reasoning, logic and truth tables
  18. Real number system and methods of proof
  19. Polynomials, the factor theorem and roots of cubics
  20. Functions, inverses, exponentials and logarithms
  21. Modulus function and inequalities
  22. Trigonometric identities, compound angles and the R-formula
  23. Trigonometric equations and general solutions
  24. Circles, conics and parametric curves
  25. Vectors in three dimensions, lines and planes
  26. Limits, continuity and differentiation from first principles
  27. Differentiation techniques and their applications
  28. Integration, areas and volumes of revolution
  29. Complex numbers, Argand diagrams and De Moivre's theorem
  30. Implicit, parametric and partial differentiation
  31. Partial fractions and integration techniques
  32. Sequences, series and the method of differences
  33. Proof by mathematical induction
  34. Binomial expansions and Maclaurin and Taylor series
  35. Numerical methods for roots of equations
  36. Permutations, combinations and probability
  37. Matrices and systems of linear equations
  38. First and second order differential equations
  39. Internal assessment requirements and dates
  40. Preparing for and completing each internal assessment component
  41. Mark schemes and examiner reports for Pure Maths
  42. Paper 02 timing, question order and presentation plan
  43. School mock exam for your Pure Maths unit
  44. Final eight weeks Pure Maths revision plan
  45. Last full past paper under exam conditions
  46. Pure Maths exam days and the night before
  47. Choosing a Pure Maths lessons class or tutor
  48. Paper 032 route for private and repeat candidates
  49. Teacher module test bank and marking calendar
  50. Stretch problems for maths-heavy degrees

Where it starts.

Each project arrives with its purpose, milestones and first tasks written out. Here is how the first three read.

CAPE Pure Maths syllabus and paper format check

Before any notes are written, the current CAPE Pure Mathematics syllabus from the CXC website should be on your desk, because it is the only document that says what each module covers, how Paper 01, Paper 02 and the internal assessment fit together, and what private candidates sit instead. Unit 1 and Unit 2 are separate examinations, so note the format for each and the date of every paper on the current timetable.

First tasks

  • Download the current CAPE Pure Mathematics syllabus from the CXC website
  • List the sections of all six modules on one page in syllabus order
  • Note the format of Paper 01, Paper 02, Paper 031 and Paper 032 for your unit
  • Check the current CXC timetable and note your Pure Maths paper dates

Taking Unit 1, Unit 2 or both in one year

Most schools teach Unit 1 in Lower Six and Unit 2 in Upper Six, but some students sit both units in one year, and some only ever need Unit 1. The right choice depends on what the degree you are aiming at asks for, how many other units you carry and how secure your Add Maths left you, so it is worth deciding on purpose rather than by default.

First tasks

  • Look up whether two target degree programmes ask for Unit 1 only or both units
  • Write out your full CAPE unit load for Lower Six and Upper Six
  • Ask your maths teacher whether your Add Maths grade suggests extra preparation
  • Record the unit plan and its reasons, and share it with a parent

Bridging diagnostic from CSEC Add Maths to CAPE

CAPE Pure Mathematics assumes most of CSEC Additional Mathematics on the first day: the factor theorem, logarithms, radians, and basic differentiation and integration. Students who skipped Add Maths, or passed it a while ago, can lose the first term to gaps that a two-hour diagnostic in September would have found.

First tasks

  • Choose twenty-five CSEC Add Maths past-paper questions across all sections
  • Sit the diagnostic in two hours with no notes
  • Mark it and total the score for each skill group
  • Agree a three-week bridging plan for the weakest skills with your teacher

Make it yours.

Install CAPE Pure Mathematics, then tell Aurum the date you're aiming for. It checks whether the plan fits the weeks you actually have.

Free · Mac (Apple silicon) and Windows · v1.0.0 · Other platforms

Blueprints are general information to help you organise your own work. They are not medical, financial, legal or other professional advice. See the Terms.