Summary

• Description:

  The PDF document comprises Grade 8 Mathematics Term 3 2026 Opener Exam with Marking Scheme. The marking scheme is towards the end of the file.

  It was a KJSEA Mathematics examination prepared to assess fundamental numeracy, algebraic thinking, geometric reasoning, commercial arithmetic, and data interpretation skills under the Competency-Based Curriculum.

  • Duration: 2 Hours
  • Total Marks: 100 Marks
  • Number of Questions: 37 Questions (Questions 1–37)
  • Structure: Section A contains 20 multiple-choice questions (20 Marks) and Section B contains 17 structured multi-part problem-solving questions (80 Marks).

  It covers the following topics:

  • Section A (Multiple Choice):
    • Numbers and numeration: large numbers in words/figures and rounding off to the nearest million
    • Greatest Common Divisor (GCD) using prime factorisation
    • Area of circles and temperature conversion from Kelvin to degrees Celsius
    • Integers, arithmetic operations (BODMAS), and speed conversion from km/h to m/s
    • Linear algebraic equations and factor forms of square roots
    • Sum of prime numbers between 10 and 30, decimal square roots, and significant figures
    • Perimeter and area of isosceles triangles using the Pythagorean theorem
    • Ascending order of negative and positive integers and evaluation of directed numbers
    • Perimeter of algebraic rectangles and interior angle calculations of triangles
    • Commercial arithmetic: percentage discount and marked price determination
    • Metric measurement: converting decimetres into metres
  • Section B (Structured Questions):
    • Linear inequalities and compound inequalities represented on number lines
    • Algebraic simplification of two-variable expressions
    • Volume and remaining capacity calculations for cylindrical containers
    • Area of rectangles using diagonals/Pythagoras and height of a trapezium from area
    • Commercial mathematics: basic salary plus percentage commission, market expenditure, and change calculation
    • Data interpretation: pie chart salary budgeting and line graph plotting of cost vs. quantity
    • Converting recurring decimals to vulgar fractions, standard form, and significant figures
    • Fractional linear equations and geometric properties of intersecting/parallel lines (alternate and corresponding angles)
    • Composite area calculations: photo frame borders and area between a circle and an inscribed/circumscribed square
    • Practical application of Pythagoras theorem (ladder problems), composite distance conversions, and ratio/proportion word problems
• File Size:

  1.37 MB
• Length:

  25 pages
• Category:

  Exams
• Level:

  Grade 8
• Subject:

  MATHEMATICS
• Posted By:

  Caleb_Peter

Enter your details below to initiate a payment using MPESA.