Mathematics Past Questions

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4291

(a) In the diagram, MNPQ is a circle with centre O, |MN| = |NP| and < OMN =  50°. Find:

(I) < MNP

(ii) < POQ

 

 (b) Find the equation of the line which has the same gradient as 8y + 4xy = 24 and passes through the point (-8, 12)

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4292

(a) In the diagram, AB is a tangent to the circle with centre O, and COB is a straight line. If CD//AB and < ABE = 40°, find: < ODE. 

 (b) ABCD is a parallelogram in which |\(\overline{CD}\)| = 7 cm, I\(\overline{AD}\)I = 5 cm and < ADC= 125°.

(i) Illustrate the information in a diagram.

(ii) Find, correct to one decimal place, the area of the parallelogram.

(c) If x = \(\frac{1}{2}\)(1 - \(\sqrt{2}\)). Evaluate (2x\(^2\) - 2x).

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4293

Solve the following equation: \(\frac{2}{(2r - 1)}\) - \(\frac{5}{3}\) =  \(\frac{1}{(r + 2)}\)

  • A. ( -1,\(\frac{5}{2}\) )
  • B. ( 1, - \(\frac{5}{2}\) )
  • C. ( \(\frac{5}{2}\), 1 )
  • D. (2,1)
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4294

In how many ways can 2 students be selected from a group of 5 students in a debating competition?

  • A. 25 ways
  • B. 10 ways
  • C. 15 ways
  • D. 20 ways
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4295

What is the rate of change of the volume V of a hemisphere with respect to its radius r when r = 2?

  • A.
  • B. 16π
  • C.
  • D.
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