Summary

• Description:

  The PDF document comprises Catholic Diocese of Kakamega Evaluation Test Mathematics Paper 1 2026 Pre-Mock Exam with Marking Scheme. The marking scheme is in a different document.

  It was a KCSE Mathematics Paper 1 examination.

  This core mathematics past paper rigorously examines numerical computations, commercial arithmetic, algebraic modeling, coordinate geometry, calculus fundamentals, mensuration, and statistics.

  • Month Administered: July/August 2026
  • Duration: 2 Hours
  • 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:
    • Arithmetic evaluation and indices
    • Fractions and money sharing ratios
    • Linear inequalities and combined ranges
    • Circle geometry: angle properties and tangent theorems
    • Greatest common divisors and least number problems
    • Algebraic factorization and algebraic fractions
    • Currency exchange and foreign exchange rates
    • Mensuration: arc length, cones, and curved surface areas
    • Scale drawing, map ratios, and land area in hectares
    • Geometric constructions: parallelograms and perpendicular heights
    • Commercial arithmetic: markups, margins, and profit calculations
    • Polygon geometry: interior and exterior angle relationships
    • Trigonometry of acute angles and complementary angles
    • Similar figures, area scale factor, and quadrilateral areas
    • Calculus: differentiation and tangents to cubic curves
  • Section II:
    • Relative motion: bus and car meeting times, distances, and travel schedules
    • Mensuration of solids: slant heights, volume of frustums, and curved surface areas
    • Coordinate geometry: perpendicular lines, gradients, and points of intersection
    • Matrices: 2x2 matrix inverses, simultaneous equations, and commercial pricing models
    • Vector geometry and coordinate geometry: line divisions, magnitudes, and triangle areas
    • Geometric constructions: circumscribed circles and circular sector areas
    • Statistics: frequency distribution tables, median estimations, and percentiles
    • Applications of calculus: optimization, maximum volume of an open box, and surface area
• File Size:

  3.82 MB
• Length:

  14 pages
• Category:

  Mock Past Papers
• Level:

  Form 4
• Subject:

  Mathematics
• Posted By:

  Caleb_Peter

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