Summary

• Description:

  The MS Word document comprises CEKENAS Mathematics Alt A Paper 2 2026 Pre-Mock Exam with Marking Scheme. The PDF version is also available upon your request. The marking scheme is in a different document.

  It was a CEKENAS Form 4 Mathematics Alternative A Paper 2 examination assessing advanced topics including 3D geometry, probability, sequence and series, trigonometric graphing, calculus, and navigation. This past paper is a vital tool for KCSE revision, available for PDF download with marking scheme solutions.

  • Month Administered: March/April 2026
  • Duration: 2 ½ Hours
  • Total Marks: 100 Marks
  • Number of Questions: 24 (Questions 1–24)
  • Structure: Section I (50 marks, compulsory Questions 1–16) and Section II (50 marks, choice of five questions from 17–24 [10 marks each]).

  It covers the following topics:

  • Section I
    • Approximations and percentage error from truncation
    • Commercial arithmetic (Proportional mixtures and profit percentage)
    • Logarithmic expressions and logarithmic laws
    • Surds (Simplification and rationalizing denominators)
    • Matrix transformations and singular matrices
    • Binomial expansion and determining constant terms
    • Equation of a circle (Center coordinates and radius with axis intercepts)
    • Rates of flow and fluid volume in pipes
    • Trigonometric equations solving
    • Statistics (Variance and standard deviation calculations)
    • Three-dimensional geometry (Angles between planes in a prism)
    • Hire purchase financial calculations and interest rates
    • Variations (Direct variation and power relationships)
    • Formula transposition and subject of formula
    • Permutational counting and practical distribution problems
    • Income tax and PAYE calculations (Tax bands, personal relief, and taxable income)
  • Section II
    • Sequences and series (Arithmetic Progression and Geometric Progression terms, common ratio, and sums)
    • Matrix transformations (Composite matrix transformations, unit square method, and inverse transformations)
    • Probability (Possibility space, tree diagrams, biased dice/tetrahedrons, and independent events)
    • Statistics and cumulative frequency curves (Ogive construction, median, quartile deviation, and percentile ranges)
    • Trigonometric functions and graphical solutions (Plotting sine and cosine curves, intersection solutions)
    • 3D Longitudes and Latitudes / Navigation (Distances in nautical miles along parallels and great circles, local time calculations)
    • Vector geometry and ratio theorem (Position vectors, intersection ratio $h$ and $k$, collinearity proofs)
    • Loci and locus constructions (Equidistant loci, fixed distance loci, and area loci)
• Length:

  16 pages
• Category:

  Mock Past Papers
• Level:

  Form 4
• Subject:

  MATHEMATICS
• Posted By:

  Caleb_Peter

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