Summary

• Description:

  The PDF document comprises Catholic Diocese of Kakamega Evaluation Test Mathematics Paper 2 2026 Pre-Mock Exam with Marking Scheme. The marking scheme is in a different document.

  It was a KCSE Mathematics Paper 2 examination.

  This advanced paper challenges Form Four learners on logarithmic equations, binomial expansions, financial taxation models, trigonometry graphs, sequences, 3D geometry, probability, and kinematics.

  • Month Administered: July/August 2026
  • Duration: 2 Hours 30 Minutes
  • Total Marks: 100
  • Number of Questions: 24 (Questions 1 - 24)
  • Structure: Section I (50 marks, questions 1-16 compulsory), Section II (50 marks, questions 17-24, answer any five)

  It covers the following topics:

  • Section I:
    • Logarithmic equations and laws of logarithms
    • Surds and surd rationalization
    • Binomial series expansion and numerical approximations
    • Formula rearrangement and change of subject
    • Mixtures, proportions, and percentage profits
    • Trigonometric equations and trigonometric identities
    • Geometric constructions and loci (equidistant loci)
    • Equations of circles and graphical plotting
    • Vector theory: ratio theorem and internal/external division
    • Circle geometry: intersecting chord theorems and tangent-secant properties
    • Commercial arithmetic: compound interest and quarterly compounding
    • Partial and joint variations
    • Rates of change and tangents on non-linear graphs
    • Approximations and percentage error calculations
    • Linear inequalities and graphical shaded regions
  • Section II:
    • Income tax calculations: taxable income, graduated tax bands, tax reliefs, and net pay
    • Trigonometric graphs: sine and cosine curve plotting, periods, and intersection roots
    • Sequences and series: arithmetic and geometric progression relationships and sums
    • Statistics: cumulative frequency curves (ogives), median, quartile deviations, and percentiles
    • Longitudes and latitudes: great circle distances, nautical miles, and local time differences
    • Three-dimensional geometry: right rectangular pyramids, slant heights, and plane angles
    • Probability theory: sample spaces, independent events, and tree diagrams
    • Kinematics calculus: displacement integration, maximum velocity, and acceleration
• File Size:

  5.53 MB
• Length:

  15 pages
• Category:

  Mock Past Papers
• Level:

  Form 4
• Subject:

  Mathematics
• Posted By:

  Caleb_Peter

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