Paper 1  Objectives  46 Questions
WASSCE/WAEC MAY/JUNE
Year: 2009
Level: SHS
Time:
Type: Question Paper
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#  Question  Ans 

1. 
Simplify: (3\(\frac{1}{2} + 4\frac{1}{3}) \div (\frac{5}{6}  \frac{2}{3}\)) A. 1\(\frac{1}{4}\) B. 8\(\frac{1}{2}\) C. 35 D. 47
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Detailed Solution(3\(\frac{1}{2} + 4\frac{1}{3}) \div (\frac{5}{6}  \frac{2}{3}\)) = (7\(\frac{3 + 2}{6}) \div \frac{(5  4)}{6}\)7\(\frac{5}{6} \div \frac{1}{6} = \frac{47}{6} \times \frac{6}{1}\) = 47 

2. 
In a particular year, the exchange rate of naira (N) varies directly with the Dollars{$}. If N1122 is equivalent to $8, find the Naira equivalent of $36 A. N8976 B. N5049 C. N140.25 D. N31.17
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Detailed SolutionN1122 = $8; x = $36x x $8 = N1122 x $36 \(\frac{N1122 \times $36}{$8}\) = x x = N5049 

3. 
If log 2 = x, log 3 = y and log 7 = z, find, in terms of x, y and z, the value of log (\(\frac{28}{3}\)) A. 2x + y  z B. 2x + x  y C. x + y  2x D. x + x  y
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Detailed Solutionlog (\(\frac{28}{3}) = \log (\frac{7 \times 4}{3})\)= log 7 + log 4  log 3 log 7 + log 2^{2}  log 3 = log 7 + 2  log 3 = x + 2x  y = 2x + x  y 

4. 
Arrange the following numbers in descending orders of magnitude: 22_{three}, 34_{five}, 21_{six} A. 21_{six}, 22_{three}, 34_{five}, B. 21_{six}, 34_{five}, 22_{three} C. 22_{three}, 34_{five}, 21_{six} D. 34_{five}, 21_{six}, 22_{three}
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Detailed Solution22_{three}, 34_{five}, 21_{six} = (2 x 3)(2 x 3^{o}), (3 x 5^{1}) = (4 x 5^{0}), (2 x 6^{1}) + (1 x 6^{0})= (6 + 2), (15 + 4), (12 + 1) = 8_{ten}, 29_{ten}, 13_{ten} in descending order 29_{ten}, 13_{ten}, 8_{ten} = 34_{five}, 21_{six}, 22_{three} 

5. 
Find the value to which N3000.00 will amount in 5 years at 6% per annum simple interest A. N3,900.00 B. N3,750.00 C. N3,600.00 D. N3,300
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Detailed SolutionA = P + Ip + \(\frac{PRT}{100}\) A = N3000 (1 + \(\frac{6 \times 5}{100}\)) = N3000(1 + 0.3) A = N3000 (1.3) = N3,900.00 

6. 
Express the square root of 0.000144 in the standard form A. 1.2 x 10^{4} B. 1.2 x 10^{3} C. 1.2 x 10^{2} D. 1.2 x 10^{1}
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Detailed Solution\(\sqrt{0.000144}\) = 0.012= 1.2 x 10^{2} 

7. 
Two sets are disjoint if A. they are both empty B. their union is an empty set C. their intersection is an empty set D. one of them is a subset of the other 
C 
8. 
If \(\frac{3}{2x}  \frac{2}{3x} = 4\), solve for x A. \(\frac{4}{5}\) B. \(\frac{4}{13}\) C. \(\frac{5}{24}\) D. \(\frac{13}{24}\)
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Detailed Solution\(\frac{3}{2x}  \frac{2}{3x} = 4\)\(\frac{9  4}{6x}\); \(\frac{5}{6x}\) = 4 5 = 24x ; x = \(\frac{5}{24}\) 

9. 
If (2x + 3)^{3} = 125, find the value of x A. 1 B. 2 C. 3 D. 4
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Detailed Solution(2x + 3 )^{2} = 1252n + 3 = 3\(\sqrt{125}\) 2x + 3 = 5 2x = 5  3 x = \(\frac{2}{2}\) = 1 

10. 
Factorize x^{2}  2x  3xy completely A. (x  2)(3x  y) B. (x  3y)(x  2) C. (x  3y)(x  3y) D. (3x + y)(x  2)
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Detailed Solutionx^{2}  2x  3xy + 6y = x(x  2) 3y(x  2)= (x  3y)(x  2) 
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