Home Technical Mathematics Languages Science Social Science Art Literature Arabic Islamic Studies C.R.K HistoryMusicVisual Art Clothing/Textile Home Management Shorthand
 General Mathematics Paper 2,Nov/Dec. 2013
 Questions: 1 2 3 4 5 6 7 8 9 10 11 12 13 Main
Weakness/Remedies
Strength

Question 9

1. Solve:  +  = 1.
2. The range of the numbers p, 6, 8, 11 and q arranged in ascending order, is 16.  If the mean is 9, find the value of (2p+q).

_____________________________________________________________________________________________________
Observation

This question was reported to be very popular among the candidates.  Majority of them attempted it and they performed very well in it.
In part(a), candidates were reported to have multiplied both sides of the equality sign by the LCM of 2 and  to have 2 – 3 + 2 = 0.  Solving this quadratic equation gave = 1 and 2.

In part (b), candidates were reportedly able to show that since the range was 16, then q - p = 16.  Similarly, since the mean was 9, it implied that p+6+8+11+q = 9 x 5 = 45.  Hence, p + q = 20.  Solving the two equations simultaneously gave p = 2 and q = 18. Therefore (2p + q) = 2(2) + 18 = 22.