Summary

• Description:

  The MS Word document comprises AIC CHAMPION JOINT Mathematics Alt A Paper 1 2026 Mock Exam with Answers (Marking Scheme). The PDF version is also available upon your request. The marking scheme is in a different document.

  It was a KCSE Mathematics Alt. A 121/1 examination.

  This examination rigorously evaluates core mathematical reasoning across arithmetic operations, linear equations, matrices, geometric loci, trigonometry, rates of work, and calculus kinematics.

  • Month Administered: July 2026
  • Duration: 2 ½ Hours
  • Total Marks: 100
  • Number of Questions: 24 (Questions 1–24)
  • Structure: Section I (50 marks, compulsory questions 1–16) and Section II (50 marks; choice of any five questions from Questions 17–24).

  It covers the following topics:

  • Section I
    • Fractions: order of operations with compound fractions
    • Matrices: singular matrices and finding unknowns
    • Coordinate geometry: gradient, parallel lines, and y-intercept equations
    • Trigonometry: exact trigonometric ratios of complementary angles
    • Kinematics: distance calculations from a velocity-time graph
    • Algebra: simplifying quadratic fractional expressions
    • Circle geometry: area of a segment using chord and sector angles
    • Number theory: greatest common divisor and least common multiple in cutting materials
    • Bearings and scale drawing: plotting positions using angles and distances
    • Mathematical tables: evaluating reciprocals, squares, and square roots
    • Geometric construction: constructing triangles and loci of points at fixed distances
    • Commercial arithmetic: tiered sales commission computations
    • Polygons: interior angle sums of irregular polygons
    • Linear equations: single fraction simplification and algebraic solutions
    • Mensuration: area of a right-angled trapezium
  • Section II
    • Commercial arithmetic: partnership investments, profit sharing ratios, and asset depreciation rates
    • Variations: partial variations, joint variations, and percentage changes in variables
    • Trigonometry and plane geometry: sine/cosine rules, perimeter, and area of composite triangular farm plots
    • Geometric construction and loci: triangle construction, perpendicular projections, constant area loci, and angle bisectors
    • Solid geometry: frustum of a square-based pyramid, slant heights, perpendicular height, volume, and angle between planes
    • Statistics: grouped frequency distributions, modal class, median calculation, and histogram plotting
    • Transformations: reflection in the y-axis, negative quarter turn rotations about the origin, and negative enlargements
    • Calculus: differentiation of displacement functions to determine instantaneous velocity, rest points, and acceleration
• File Size:

  1.22 MB
• Length:

  15 pages
• Category:

  Mock Past Papers
• Level:

  Form 4
• Subject:

  Mathematics
• Posted By:

  Caleb_Peter

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