Build understanding one topic at a time. Use these supplementary practice questions with class notes and your teacher’s current curriculum guidance.
5 questions · 1 topics · Explained answersThese five original supplementary questions practise proportional reasoning, equations, geometry, measurement and probability. They are a short untimed sample, not an official KNEC paper or a full KJSEA mock. Attempt each question before opening its worked answer.
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Answer: KES 900.
One kilogram costs 540 ÷ 3 = KES 180. Therefore 5 kg costs 5 × 180 = KES 900. The same unit price must be used for both quantities.
Answer: x = 4.
Expand the bracket: 6x − 3 = 21. Add 3 to both sides to get 6x = 24. Divide by 6, so x = 4. Check: 3(8 − 1) = 21.
Answer: 10 m.
The diagonal is the hypotenuse of a right-angled triangle. Its square is 6² + 8² = 36 + 64 = 100, so the diagonal is √100 = 10 m.
Answer: 1,540 cm³.
Volume = πr²h = (22/7) × 7 × 7 × 10 = 1,540 cm³. Radius is squared; the volume is measured in cubic centimetres, not square centimetres.
Answer: 1/5.
There are 3 + 2 + 5 = 10 counters altogether, and 2 are blue. The probability is favourable outcomes ÷ total outcomes = 2/10 = 1/5.
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