Waec Mathematics Past Questions For Year 1989

Question 36

A sector is cut off from a circle radius 8.2cm to form a cone, if the radius of the resulting cone is 3.5cm, calculate the curved surface area of the cone. [take π = 22/7]

waec 1989

  • A. 11.25cm2
  • B. 12.83cm2
  • C. 22.0cm2
  • D. 67.2cm2
  • E. 90.2cm2
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Question 37

Which of the following gives the point of intersection of the graph y = x2 and y = x + 6 shown above?

waec 1989

  • A. (0,6), (3,9)
  • B. (-3, 0)(2,4)
  • C. (-2,4)(3,9)
  • D. (-2,3)(-3,2)
  • E. (-2,2)(3,6)
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Question 38

In the diagram above, O is the center of the circle QRT and PT is a tangent to the circle at T. Calculate the angle x

waec 1989

  • A. 55o
  • B. 40o
  • C. 35o
  • D. 25o
  • E. 20o
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Question 39

The angle of a sector of a circle of diameter 8cm is 135°. Find the area of the sector [Take pi = 22/7].

waec 1989

  • A. 270
  • B. 350
  • C. 302
  • D. 430
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Question 40

Given that logp = 2 logx + 3logq, which of the following expresses p in terms of x and q?

waec 1989

  • A. p = 5xq
  • B. p = 6xq
  • C. p = x2 + q3
  • D. p = 2x + 3q
  • E. p = x2q3
View Answer and Explanation