Grade 8 Mathematics End Term 3 Exam With Answers

Our Grade 8 exam follows the KJSEA layout learners will meet next year. Section A has 20 one-mark multiple-choice questions. Section B has six problems worth 5 marks each, which your child answers by typing the final value. In a written school exam, teachers award marks for working in Section B; online we mark the answer, then show the full working so your child can see exactly where a method went wrong.

• Numbers: operations on integers including negative temperatures, fractions and mixed numbers, decimals and rounding, square roots of decimals, ratio, proportion, percentage increase and discount.
• Algebra: factorising, simplifying algebraic fractions, linear equations with fractions, consecutive numbers and linear inequalities.
• Measurement: area and circumference of circles, volume and capacity, and budgeting with percentages.
• Geometry: coordinates and quadrants, scale drawing and the faces of common solids.
• Data and probability: simple probability with a die.

Integer rules. A negative times a negative is positive, and subtracting a negative means adding. Questions like (−6) × (−4) − 30 ÷ (−5) test both rules at once, so work step by step and write the sign of every result.

Percentages in real life. Discounts, salary budgets and harvests all use the same idea: find the percentage of the whole, then add or subtract. A shortcut that saves time is to work with what is left: if 55% of a salary is spent, 45% remains, so multiply by 0.45 directly.

Inequalities. Solve them like equations, then test a value. If x < 4, the value 4 itself does not work, which is the trap in many multiple-choice options.

• Dividing fractions without flipping the second fraction.
• Rounding 3.14159 to 3.141 instead of 3.142.
• Using the diameter in πr², or the radius in πd.
• Forgetting that 1 m³ = 1,000 litres in tank problems.
• Mixing up the x- and y-coordinates when naming quadrants.

Grade 8 problems are long enough that small slips creep in. Build a checking habit: substitute your answer back into an equation, estimate before calculating (a 35 cm wheel turns about 3 × 70 = 210 cm, so 220 cm is sensible), and make sure every money answer is reasonable. If Njoki’s share is larger than Mutiso’s when the ratio is 5 : 3, something has gone wrong. Thirty seconds of checking can save five marks.

Spend about 30 minutes on Section A and an hour on Section B, about ten minutes a problem, leaving time to check. Section B is worth more, so don’t let one stubborn multiple-choice question eat into it.

Practise weak topics with the Grade 8 CBC Challenge, see more exams on the Grade 8 revision papers page, and look ahead to the KJSEA Mathematics practice paper.