ECZ 2011 O-Level Paper 1 — Mathematics

All 14 questions from this paper, each with a verified worked solution. Open any question to see it with the first step of the working free.

  1. Index Notation: Evaluate 64^(2/3).
  2. Sets: The diagram shows three sets A, B and C in the universal set E. Which …
  3. Algebra: Given that x = -4 and y = -1/2, find the value of xy - x^2.
  4. Similarity and Congruency: The ratio of the surface areas of two similar bottles is 4 : 9. What i…
  5. Sequences and Series: Write the next number in the sequence 2, -8, 32, -128, ...
  6. Sequences and Series: Write the nth term of the sequence 5, 7, 9, 11, ...
  7. Relations and Functions: A function f is defined as f(x) = 3/(5x + 1), x is not -1/5. Find f(1)…
  8. Relations and Functions: A function f is defined as f(x) = 3/(5x + 1). Find x if f(x) = 6.
  9. Trigonometry: The figure shows triangle ABC in which AC = 5 cm and angle A is a righ…
  10. Quadratic Equations: Solve the equation (y + 7)^2 = 9.
  11. Vectors In Two Dimensions: The position vectors of A and B are matrix(0; 1) and matrix(3; 5) resp…
  12. Coordinate Geometry: Find the gradient of the line x + 2y = 4.
  13. Trigonometry: A vegetable garden is an irregular pentagon ABCDE with AB = BC = CD = …
  14. Mensuration: Using the same garden, calculate the perimeter of the garden.

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