Summary

• Description:

  The MS Word document comprises Bunaf Cluster Examination Mathematics Paper 2 June 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 KCSE Mathematics Alternative A Paper 2 examination. This paper tests Form 4 candidates on advanced mathematics including logarithms, coordinate geometry, trigonometric equations, vectors, statistics, and transformations — demanding higher analytical and computational skills typical of Paper 2.

  • Month Administered: June 2026
  • Duration: 2½ hours
  • Total Marks: 100
  • Number of Questions: 24 (Questions 1–16 in Section I, all compulsory; Questions 17–24 in Section II, answer any five)
  • Structure:
    • Section I – 50 marks (16 compulsory short-answer questions)
    • Section II – 50 marks (8 questions; answer any five)

  It covers the following topics:

  • Section I:
    • Percentage error in area of a rectangle (4 significant figures)
    • 3D vectors — dividing a line segment externally in a given ratio
    • Logarithmic equations — solving (log₃x)² – ½log₃x = 3/2
    • Equation of a circle tangent to the y-axis and intersecting the x-axis at two given points
    • Trigonometric equations — solving 2sin²x – 1 = cos2x + sinx for 0° ≤ x ≤ 360°
    • Change of subject of a formula
    • Geometrical constructions — finding the locus of a tap position with given distance and angle constraints
    • Quadratic equations — finding the area of a shaded region in a rectangle using algebraic dimensions
    • Arc length — angle in radians and radius given
    • Map scale and actual area conversion
    • Mixtures — ratio of tea grades for a given profit percentage
    • Mean absolute deviation from a data set
    • Combined variation — percentage change in y given changes in x and z
    • Additional Section I questions on logarithm tables and other topics
  • Section II:
    • Extended questions on income tax, statistics (cumulative frequency), vectors, circle theorems, transformations, probability, arithmetic and geometric progressions, and trigonometric graphs
• Category:

  Mock Past Papers
• Level:

  Form 4
• Subject:

  MATHEMATICS

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