Mathematics Past Questions

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21
In ∆MNO, MN = 6 units, MO = 4 units and NO = 12 units. If the bisector of and M meets NO at P, calculate NP.
  • A. 4.8 units
  • B. 7.2 units
  • C. 8.0 units
  • D. 18.0 units
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22
Find the tangent to the acute angle between the lines 2x+y = 3 and 3x-2y = 5.
  • A. -7/4
  • B. 7/8
  • C. 7/4
  • D. 7/2
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23
From a point P, the bearings of two points Q and R are N670W and N230E respectively. If the bearing of R from Q is N680E and PQ = 150m, calculate PR
  • A. 120m
  • B. 140m
  • C. 150m
  • D. 160m
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24
Find the equation of the locus of a point P(x,y) such that PV = PW, where V = (1,1) and W = (3,5)
  • A. 2x + 2y = 9
  • B. 2x + 3y = 8
  • C. 2x + y = 9
  • D. x + 2y = 8
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25
Find the area bounded by the curve y = x(2-x). The x-axis, x = 0 and x = 2.
  • A. 4 sq units
  • B. 2 sq units
  • C. \(\frac{4}{3}sq\hspace{1 mm}units\)
  • D. \(\frac{1}{3}sq\hspace{1 mm}units\)
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