ECZ 2013 O-Level Paper 1 — Mathematics

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  1. Index Notation: Evaluate (3/4)^-2.
  2. Sets: The diagram shows three sets A, B and C inside the universal set E. Us…
  3. Coordinate Geometry: Find the equation of the line joining the point A(0, 7) to the point B…
  4. Sequences and Series: For the sequence 2, 5, 8, 11, ... find the sixth term.
  5. Sequences and Series: For the sequence 2, 5, 8, 11, ... find an expression for the nth term.
  6. Sets: How many subsets has the set A = {1}?
  7. Bearings: In the diagram, C is due East of A and due North of B. Angle BAC is 50…
  8. Vectors In Two Dimensions: Given that vector AB = (1, -3) written as a column vector and B is the…
  9. Algebra: Factorise completely 3ap - 8bq - 4aq + 6bp.
  10. Relations and Functions: A function h is defined as h(x) = (1/2)x - 5. Find h(-4).
  11. Relations and Functions: A function h is defined as h(x) = (1/2)x - 5. Find the value of x for …
  12. Relations and Functions: A function h is defined as h(x) = (1/2)x - 5. Find h^-1(x).
  13. Mensuration: The diagram shows a cylinder of height 9 cm and diameter 7 cm. Calcula…
  14. Quadratic Equations: Solve the equation (x - 1)(x + 1) = 8.
  15. Geometrical Transformations: In the diagram, triangle A is mapped onto triangle B by a single trans…
  16. Earth Geometry: Bonzo is a town on (53 S, 65 W) and Munyefu is another town on (53 S, …
  17. Circle Theorems: A circle centre O passes through the points A, B, C and D. Angle AOC =…
  18. Circle Theorems: A circle centre O passes through the points A, B, C and D. Angle AOC =…
  19. Circle Theorems: A circle centre O passes through the points A, B, C and D. Angle AOC =…
  20. Social and Commercial Arithmetic: Kaponya got a simple interest of K375.00 from a bank after investing a…
  21. Variation: Given that y varies directly as x and inversely as 2m - 1, and that y …
  22. Variation: Given that y = kx/(2m - 1) with k = 5, find the value of y when x = 2 …
  23. Variation: Given that y = kx/(2m - 1) with k = 5, find the value of m when y = 2 …
  24. Trigonometry: A 10 m ladder rests against a vertical wall with its foot 6 m from the…
  25. Algebra: Simplify 2x - 9 + 3x^2 - 2 - 4x.
  26. Linear Programming: In the diagram, R is the unshaded region. Which three inequalities des…
  27. Similarity and Congruency: Two containers are geometrically similar. The ratio of their base area…
  28. Trigonometry: In the diagram, ABC is a straight line, BC = 8 cm, BD = 10 cm and sin(…
  29. Symmetry: The diagram shows a 4 by 4 grid with two squares already shaded. Which…
  30. Travel Graphs: Two towns Katulya and Twasika are 50 km apart. Kachova started off fro…
  31. Travel Graphs: Using the distance-time graph, how long had Namutekenya been in Twasik…
  32. Travel Graphs: Using the distance-time graph, calculate the difference between the av…

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