Paper 1  Objectives  48 Questions
WASSCE/WAEC MAY/JUNE
Year: 1989
Level: SHS
Time:
Type: Question Paper
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#  Question  Ans 

1. 
If 3loga + 5loga  6loga = log64, what is a? A. 4 B. 6 C. 8 D. 16 E. 32
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Detailed Solutionloga^{3} + loga^{5}  loga^{6}log( a^{3} * a^{5}/a^{6} ) = loga^{64}a^{2} = 64 a = 8 

2. 
If the second and fourth term of a G.P are 8 and 32 respectively,what is the sum of the first four terms? A. 28 B. 40 C. 48 D. 60 E. 68
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Detailed Solutionar = 8 .....(1)ar^{3} = 32 .....(2) r^{2} = 4 r = 2 ∴ a = 4 

3. 
In the diagram above, TPS is a straight line, PQRS is a parallelogram with base QR and height 8cm. QR = 6cm and the area of triangle QST is 52cm2. Find the area of ΔQPT A. 39cm^{2} B. 28cm^{2} C. 24cm^{2} D. 21cm^{2} E. 19cm^{2}
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Detailed SolutionArea of \(\Delta\)QST = 52cm\(^2\); height = 8cmb=base length; but A = 1/2 b x h =52=1/2 x b x 8cm = 104 =8b b=104/8 = 13cm; ST= 13cm; PS = 6cm TP = 13  6 = 7cm; area of \(\Delta\)QST = 1/2 b x h = 1/2 x 7 x 8/1 = 28cm\(^2\) 

4. 
In the diagram O is the center of the circle, if ∠QRS = 62o, find the value of ∠SQR. A. 14^{o} B. 28^{o} C. 31^{o} D. 45^{o} E. 90^{o}
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Detailed Solution< QSR = 90° (angle in a semicircle)\(\therefore\) < SQR = 180°  (90° + 62°) = 28° 

5. 
Evaluate, using logarithm tables \(\frac{5.34 \times 67.4}{2.7}\) A. 1.332 B. 13.32 C. 133.2 D. 1332 E. 13.320
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Detailed Solution\(\therefore \frac{5.34 \times 67.4}{2.7} = 133.2\) 

6. 
Factorize 35  2b  b^{2} A. (352b)(b1) B. (7+b)(5b) C. (3+7b)(5b) D. (35b)(3b+7) E. (7+b)(5+b)
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Detailed Solution35  2b  b ^{2};35  7b + 5b  b ^{2} 7(5  b) + 5(5  b) (7 + b)(5  b) 

7. 
Evaluate \(\frac{0.009}{0.012}\), leaving your answer in standard form. A. 7.5 x 10^{2} B. 7.5 x 10^{1} C. 7.5 x 10^{1} D. 7.5 x 10^{2} E. 7.5 x 10^{3}
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Detailed Solution\(\frac{0.009}{0.012}\)=\(\frac{0.009}{0.012}\) = \(\frac{9}{12}\) = 0.75 =\(7.5 \times 10^{1}\) 

8. 
The graph above is that of a quadratic function y = 2x^{2}  x  6 A. 1.5, 2 B. 1.5, 2 C. 1, 6 D. 1, 6 E. 1, 6
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Detailed SolutionThe roots are; x = 1.5 and 2 

9. 
Factorize the following expression; 2x^{2} + x  15 A. (2x+5)(x3) B. (2x5)(x+3) C. (2x5)(x3) D. (2x3)(x+5) E. (2x+5)(x+3)
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Detailed Solution2x ^{2} + x  15; 2x ^{2} + 6x  5x  15(2x ^{2} + 6x)  ( 5x + 15) 2x(x + 3)  5(x + 3) (2x  5)(x + 3) 

10. 
The angle of elevation of X from Y is 30^{o}. If XY = 40m, how high is X above the level of Y? A. 10m B. 20m C. 20√3m D. 40m E. 50m
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Detailed Solution= 20m 
Preview displays only 10 out of the 48 Questions