Paper 1  Objectives  48 Questions
WASSCE/WAEC MAY/JUNE
Year: 1992
Level: SHS
Time:
Type: Question Paper
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#  Question  Ans 

1. 
Let U = {1, 2, 3, 4}, P = {2, 3} and Q = {2, 4}. What is (P∩Q)'? A. (1, 2, 3) B. (1, 3, 4) C. (2, 3) D. (1, 3) E. (1, 4)
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Detailed SolutionU = {1,2,3,4}; P = {2,3}; Q = {2,4}; P∩Q = {2}(P∩Q)' = {1,3,4} 

2. 
Simplify (^{3}/_{4} + ^{1}/_{3}) x 4^{1}/_{3} + 3^{1}/_{4} A. 1/2 B. 13/12 C. 10/9 D. 17/12 E. 13/9
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Detailed Solution(^{3}/_{4} + ^{1}/_{3}) x 4^{1}/_{3} \(\div\) 3^{1}_{4}\(\begin{pmatrix} 9 + 4 \\ 12 \end{pmatrix}\) x \(\frac{13}{3}\) \(\frac{4}{13}\) = 1^{4}_{9} 

3. 
If x varies over the set of real numbers, which of the following is illustrated in the diagram above? A. 3 B. 3≤x<2 C. 3 D. 3≤x≤2 E. x≥2 
B 
4. 
Convert 77 to a number in base two A. 1001 101 B. 111001 C. 100110 D. 10101 E. 10011
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Detailed Solution\(\begin{array}{cc} 2 & 77 \\ \hline 2 & 38 R1 \\ 2 & 19 R0 \\ 2 & 9 R1 \\ 2 & 4 R1 \\ 2 & 2 R0 \\ 2 & 1 R0 \\ & 0 R1\end{array}\)77_{ten} = 1001101_{two} 

5. 
A bricklayer measured the length of a wall and obtained 4.10m. If the actual length of the wall is 4.25m, find his percentage error. A. 3 9/17% B. 3 27/41% C. 15% D. 35 5/17% E. 36 24/41%
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Detailed SolutionError = 4.25  4.10 = 0.15% error = \(\frac{0.15}{4.25} \times 100%\) = \(\frac{15}{\frac{17}{4}} = \frac{15 \times 4}{17}\) = \(3\frac{9}{17} %\) 

6. 
The nth term of a sequence is given by 3.2\(^{n2}\). Write down the first three terms of the sequence. A. 2/3, 0, 6 B. 3/2, 3, 6, C. 2/3, 3, 8/3 D. 2/3, ^{3}/_{4}, 6 E. 2/3, 3, 1/3
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Detailed Solution\(T_n = 3. 2^{n  2} \\T_{1} = 3. 2^{1  2} = 3. 2^{1} \\ T_1 = \frac{3}{2} \) \(T_2 = 3. 2^{2  2} \\ T_2 = 3. 2^0 = 3\) \(T_3 = 3. 2^{3  2} = 3. 2^1 \\ T_3 = 6\) The first 3 terms of the sequence are \(\frac{3}{2}\), 3 and 6. 

7. 
Simplify: \((\frac{16}{81})^{\frac{1}{4}}\) A. 8/27 B. 1/3 C. 4/9 D. 2/3 E. 4/3
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Detailed Solution\((\frac{16}{81})^{\frac{1}{4}}\)= \(((\frac{2}{3})^{4})^{\frac{1}{4}}\) = \(\frac{2}{3}\) 

8. 
Evaluate \(\log_{10} 25 + \log_{10} 32  \log_{10} 8\) A. 0.2 B. 2 C. 100 D. 409 E. 490
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Detailed Solution\(\log_{10} 25 + \log_{10} 32  \log_{10} 8\)= \(\log_{10} (\frac{25 \times 32}{8})\) = \(\log_{10} 100 \) = 2 

9. 
Factorize the expression 2y\(^2\) + xy  3x\(^2\) A. 2y (y + x)  3x^{2} B. (2y  x)(2y + x) C. (3x  2y(x  y) D. (2y + 3x)(y  x) E. (x – y)(2y + 3x)
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Detailed Solution2y\(^2\) + xy  3x\(^2\)2y\(^2\) + 3xy  2xy  3x\(^2\) y(2y + 3x)  x(2y + 3x) = (y  x)(2y + 3x) 

10. 
Construct a quadratic equation whose roots are \(\frac{1}{2}\) and 2. A. 3x^{2}3x+2=0 B. 3x^{2}+3x2=0 C. 2x^{2}+3x2=0 D. 2x^{2}3x+2=0 E. 2x^{2}3x2=0
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Detailed SolutionIf x = \(\frac{1}{2}\) and 2; then\(x + \frac{1}{2} = 0\) and \(x  2 = 0\) \(\implies (x + \frac{1}{2})(x  2) = 0\) \(x^2  2x + \frac{1}{2}x  1 = 0\) \(x^2  \frac{3}{2}x  1 = 0\) \(2x^2  3x  2 = 0\) 
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