waecE-LEARNING
General Mathematics Paper 2,Nov/Dec. 2014  
Questions: 1 2 3 4 5 6 7 8 9 10 11 12 13 Main
General Comments
Weakness/Remedies
Strengths

Question 4

________________________
Without using tables or calculator, evaluate:

log10() – 2log10() + log10().

    • Given that X ={x : 10 ≤ x< 15} and Y = {even numbers < 18} are subsets of U = {10, 11, 12, …, 20}, find:
    • X  Y;
    • n(X’  Y).
Observation

The Chief Examiner reported that this question was attempted by majority of the candidates and they performed well in it.
In part (a), candidates were reported to apply the laws of logarithms correctly. They were able to express the given problem as a single logarithm
 i.e. log10() – 2log10() + log10() = log10() = log10() = log10() = log1010 = 1.
In part (b), majority were reported to have obtained the elements of sets X and Y as X = {10, 11, 12, 13, 14} and Y = {10, 12, 14, 16}. X Y = {10, 12, 14}.
X’ = {15, 16, 17, 18, 19, 20}. X’  Y = {16}. Therefore, n(X’  Y) = 1.


Powered by Sidmach Technologies(Nigeria) Limited .
Copyright © 2015 The West African Examinations Council. All rights reserved.