Paper 1  Objectives  63 Questions
WASSCE/WAEC MAY/JUNE
Year: 1998
Level: SHS
Time:
Type: Question Paper
Source: Nigeria
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#  Question  Ans 

1. 
Find the root of the equation 2x\(^2\)  3x  2 = 0 A. x = 2 or 1/2 B. x = 2 or1 C. x = 2 or 2 D. x = 1 or 2 E. x = 1/2 or 2
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Detailed Solution2x\(^2\)  3x  2 = 02x\(^2\)  4x + x  2 = 0 2x(x  2) + 1(x  2) = 0 (2x + 1)(x  2) = 0 x = \(\frac{1}{2}\) or x = 2 

2. 
What value of k makes the given expression a perfect square ? m\(^2\)  8m + k = 0 A. 2 B. 4 C. 8 D. 16 E. 64
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Detailed SolutionTake half the coefficient of m and square it=> (8/2)2 = k = 16 

3. 
If log\(_{10}\) q = 2.7078, what is q? A. 5102 B. 849.9 C. 510.2 D. 84.99 E. 51.02
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Detailed Solutionq = 10\(^{2.7078}\)Antilog of 2.7078 = 510.2 

4. 
Cos x is negative and sin x is negative.Which of the following is true of x? A. 0^{o} < x < 90^{o} B. 90^{o} < x <180^{o} C. 180^{o} < x < 270^{o} D. 270^{o} < x <360^{o} E. 90^{o} < x <90^{o}
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Detailed SolutionIn the 3rd quadrant, only the tan of angles are positive.The 3rd quadrant = 180° < x < 270° 

5. 
Simplify 0.63954 ÷ 0.003 giving your answer correct to two significant figures A. 213.18 B. 213.00 C. 213 D. 210 E. 21
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Detailed Solution= \(\frac{0.63954}{0.003}\)moving the decimal places, we have = \(\frac{639.54}{3}\) = 213.18 \(\approxeq\) 210 (to 2 s.f.) 

6. 
If log\(_{10}\) a = 4; what is a? A. 0.4 B. 40 C. 400 D. 1000 E. 10000
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Detailed Solutionlog\(_{10}\) a = 4a = 10\(^4\) = 10000 

7. 
A student measured the length of a room and obtained the measurement of 3.99m. If the percentage error of is measurement was 5% and his own measurement was smaller than the length , what is the length of the room? A. 3.78m B. 3.80m C. 4.18m D. 4.20m E. 4.788m
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Detailed SolutionLet the actual length of the room = y m\(\therefore \frac{y  3.99}{y} \times 100% = 5%\) \(100(y  3.99) = 5y \implies 100y  399 = 5y\) \(100y  5y = 399 \implies y = \frac{399}{95}\) y = 4.2 m 

8. 
When an aeroplane is 800m above the ground, its angle of elevation from a point P on the ground is 30o. How far is the plane from P by line of sight? A. 400m B. 800m C. 1500m D. 1600m E. 1700m
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Detailed SolutionFrom the diagram, \(\sin 30 = \frac{800}{x}\) \(x = \frac{800}{\sin 30} \) = \(\frac{800}{0.5} \) = 1600 m 

9. 
Convert 35 to a number in base two A. 1011_{two} B. 10011_{two} C. 100011_{two} D. 110010_{two} E. 110001_{two}
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Detailed Solution 

10. 
The nth term of a sequence is represented by 3 x 2^{(2n)}. Write down the first three terms of the sequence A. ^{3}/_{2}, 3, 6 B. 6, 3, ^{3}/_{2} C. ^{3}/_{2}, 3, ^{1}/_{3} D. ^{2}/_{3}, 3, ^{8}/_{3} E. ^{3}/_{2}, 0, 6
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Detailed SolutionWhen n = 1, n = 2, n = 33 x 2^{2  1} = 6 3 x 2^{2  2} = 3 3 x 2^{2  3} = ^{3}/_{2} 

11. 
Find the number whose logarithm to base 10 is 2.6025 A. 0.0004 B. 4.004 C. 40.04 D. 400.4 E. 4004 
D 
12. 
A piece of cloth was measured as 6.10m. If the actual length of the cloth is 6.35, find the percentage error, correct to 2 decimal places A. 3.05% B. 3.95% C. 15.00% D. 25.00% E. 39.30% 
B 
13. 
Simplify \(\frac{8^{\frac{2}{3}}*27^{\frac{1}{3}}}{64^{\frac{1}{3}}}\) A. 3 B. \(\frac{1}{9}\) C. \(\frac{1}{3}\) D. \(\frac{27}{8}\) E. 4
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Detailed Solution\(\frac{8^{\frac{2}{3}}*27^{\frac{1}{3}}}{64^{\frac{1}{3}}}\)\(\frac{2^2*3^{3}}{4} = 3^{1} = \frac{1}{3}\) 
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