Summary

• Description:

  The MS Word document comprises Navakholo Joint Evaluation Test 1 Mathematics 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 KCSE Mathematics Alternative A Paper 2 examination. This paper tests Form 4 candidates on advanced topics including logarithms, circles, binomial expansion, trigonometric graphs, probability, and transformations — preparing learners for the analytical demands of the national examination.

  • 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, 10 marks each)

  It covers the following topics:

  • Section I:
    • Logarithmic equations
    • Equation of a circle — drawing from standard form
    • Completing the square — solving quadratic equations
    • Percentage error in area calculations
    • Trigonometric identities — exact values involving tan, cos, and surds
    • Binomial expansion and approximation
    • Change of subject of a formula
    • Geometrical constructions — triangle completion and perpendicular distance
    • Vectors — dividing a line externally in a given ratio
    • Quartile deviation from a data set
    • Transformation matrix and area scale factor
    • Partial variation — forming equations connecting variables
    • Hire purchase and compound interest — finding monthly rate
    • Rates of work — filling and emptying a tank
    • Mixture problems — ratio using profit and cost price
    • Logarithm tables — evaluating expressions
  • Section II:
    • Income tax — taxable income, tax brackets, relief, net tax, and net pay (including AHL and SHA deductions)
    • Statistics — cumulative frequency curve, median, quartile deviation, and pass mark determination
    • Vectors — position vectors, expressing paths in terms of b and c, ratios of division, and BF in terms of b and c
    • Circle theorems — tangent-chord angles, angles in a circle, and calculating chord lengths
    • Transformations — shear matrix, image drawing, combined transformations, and inverse transformation description
    • Probability — tree diagrams and compound events (exactly two, at most two, only one, at least one passing)
    • Arithmetic and geometric progressions — first term, common difference, first three terms of GP, and sum of GP
    • Trigonometric graphs — completing a table, drawing y = 2sin2x and y = 3cos(x + 45°), reading values, and solving equations graphically
• Category:

  Mock Past Papers
• Level:

  Form 4
• Subject:

  MATHEMATICS

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