Kenya KCSE · Mathematics

Trigonometry, algebra and geometry

14 practice questions, each with the answer and an explanation.

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Random questions from this topic, one at a time. You see the answer and the explanation straight after each one.

All 14 questions

  1. What is the value of sin 30 degrees?
  2. In a right-angled triangle the side opposite angle theta is 5 cm and the hypotenuse is 13 cm. What is tan theta?
  3. Express 0.00045 in standard form.
  4. Simplify root 50 in surd form.
  5. Solve the inequality 3x - 4 > 11.
  6. Factorise completely: 6x^2 - 9x.
  7. The interior angle of a regular polygon is 150 degrees. How many sides does it have?
  8. What is the sum of the interior angles of a hexagon?
  9. A car costs KSh 1,200,000 and loses 10% of its value each year. What is its value after 2 years?
  10. Two similar bottles have heights in the ratio 2 : 3. What is the ratio of their volumes?
  11. Make r the subject of the formula A = pi r^2.
  12. A bus leaves Mombasa at 0730 and reaches Nairobi at 1545 the same day. How long did the journey take?
  13. The mean of five numbers is 12. When a sixth number is added, the mean becomes 14. What is the sixth number?
  14. At which point does the line y = 2x + 3 meet the x-axis?

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