Summary

• Description:

  The PDF document comprises KALA Joint Trials Mathematics Paper 2 2025 Mock Exam with Marking Scheme.

  It is a KCSE Mathematics ALT A Paper 2 (121/2) trial examination (July 2025).

  • Duration: 2 ½ Hours
  • Total Marks: 100
  • Number of Questions: 24 (Questions 1–24)
  • Marking Scheme: The marking scheme is in a different document.

  It covers the following topics:

  • Approximation and error (percentage error)
  • Algebraic simplification and changing the subject of a formula
  • Logarithms and indices (solving logarithmic equations)
  • Loci and constructions in plane geometry (including shading regions using angle and distance conditions)
  • Binomial expansion and approximation/estimation using expansion
  • Quadratic equations formed from given roots
  • Circle geometry (incircle tangency lengths; tangent–chord relations)
  • Variation (joint variation in cylinders) and percentage change
  • Vectors in 3D (internal/external division along a line segment)
  • Matrix transformations (finding unknown values and describing the transformation)
  • 3D geometry (angle between planes in a right pyramid)
  • Ratio and mixture problems (blending costs and determining mixing ratios)
  • Probability with changing probabilities across rounds
  • Coordinate geometry of a circle (equation of a circle in general form)
  • Rate of change from a displacement–time graph (gradient at a given time)
  • Taxation and net pay (taxable income, PAYE using tax bands, deductions and net salary)
  • Statistics for grouped data (mean, standard deviation, and cumulative percentage)
  • Circle theorems and mensuration (angles in a circle; radius and shaded area calculations)
  • Geometric progressions (finding terms, sequences, and number of terms from a given sum)
  • Trigonometric tables and graphing (drawing and interpreting cosine/sine-based graphs)
  • Navigation and time/longitude (distance using knots, longitude change over eastward travel, local time differences)
  • Linear inequalities and linear programming (formulating constraints, graphing feasible region, minimising cost)
  • Calculus and kinematics (velocity from acceleration, maximum velocity, and distance to maximum velocity)
• Category:

  Mock Past Papers
• Level:

  Form 4
• Subject:

  MATHEMATICS

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