Summary

• Description:

  The PDF document comprises KALA Joint Trials Mathematics Paper 1 2025 Mock Exam with Marking Scheme.

  It is a KCSE Mathematics ALT A Paper 1 (121/1) 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:

  • Fractions and directed numbers (including complex fractional expressions)
  • Polygons: exterior and interior angles
  • Algebra: reciprocals, equations, and indices/exponent laws
  • Expansion and simplification of algebraic expressions
  • Profit, loss, discount, and percentage applications
  • Mensuration: circle in a regular hexagon (area calculations)
  • Rotational symmetry (completing a symmetry diagram)
  • Bearings and triangulation (lengths and bearings)
  • Linear inequalities and region shading from graphs
  • Transformations: enlargement (scale factor and centre) and translation vectors
  • Trigonometric equations in degrees
  • Geometry and construction: ruler-and-compasses triangle construction and perpendicular measurement
  • Mensuration: cylinder partially submerged (segment volume)
  • Ratio and proportion in real-life contexts
  • Scale drawing and area calculation (sisal plantation; hectares; comparing areas)
  • Vectors and coordinate geometry (position vectors, distance, collinearity, and ratios)
  • Numerical integration (trapezium rule and mid-ordinate rule)
  • Coordinate geometry of a rhombus (perpendicular bisectors, equations of diagonals, gradients)
  • Velocity–time graphs: acceleration, distance, and time analysis
  • Matrices in business contexts (representation and expenditure calculations)
  • Statistics: histogram, median estimation, and earnings interpretation
  • Calculus in motion: displacement, velocity, acceleration, and displacement in a given second
• Category:

  Mock Past Papers
• Level:

  Form 4
• Subject:

  MATHEMATICS

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