Paper 1  Objectives  43 Questions
WASSCE/WAEC MAY/JUNE
Year: 1999
Level: SHS
Time:
Type: Question Paper
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#  Question  Ans 

1. 
The side of a rhombus is 10cm long, correct to the nearest whole number. Between what limits should the perimeter P lie? A. 39cm ≤ P ≤41cm B. 38cm ≤ P < 42cm C. 38.5 ≤ P ≤ 41.5cm D. 38.5 ≤ P ≤ 40cm
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Detailed SolutionIf the side = 10 cm, correct to the nearest whole number, thenThe side ranges from 9.5 cm to 10.5 cm. (9.5 \(\leq\) s < 10.5) Perimeter of a rhombus = 4 x side \(\therefore\) 4 x 9.5 \(\leq\) perimeter < 4 x 10.5 = 38 cm \(\leq\) P < 42 cm 

2. 
Simplify log\(_7\) 8  log\(_7\) 2 + log\(_7\) 4. A. 0 B. \(2log_7 2\) C. \(3log_7 2\) D. \(4log_7 2\)
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Detailed Solutionlog\(_7\) 8  log\(_7\) 2 + log\(_7\) 4= log\(_7\) (8/2 x 4) = log\(_7\) 16 = 4 log\(_7\) 2 

3. 
If \(K\sqrt{28}+\sqrt{63}\sqrt{7}=0\), find K. A. 2 B. 1 C. 1 D. 2
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Detailed Solution\(K\sqrt{28}+\sqrt{63}\sqrt{7}=0\\2K\sqrt{7}+3\sqrt{7}\sqrt{7}=0\\ 2K\sqrt{7}=2\sqrt{7}\\ K=\frac{2\sqrt{7}}{2\sqrt{7}}\\ K=1\) 

4. 
From a set \(A = [3, \sqrt{2}, 2\sqrt{3}, \sqrt{9}, \sqrt{7}]\), a number is selected at random. Find the probability that is a rational number A. \(\frac{1}{5}\) B. \(\frac{2}{5}\) C. \(\frac{3}{5}\) D. \(\frac{4}{5}\)
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Detailed Solution\(A = {3, \sqrt{2}, 2\sqrt{3}, \sqrt{9}, \sqrt{7}}\)n(A) = 5 Let the rational nos = R n(R) = 2 (3, \(\sqrt{9}\)) P(R) = 2/5 

5. 
The pie chart illustrate the amount of private time a student spends in a week studying various subjects. use it to answer the question below A. 15^{o} B. 30^{o} C. 60^{o} D. 90^{o}
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Detailed SolutionTotal angle in a circle = 360°\(\therefore\) 105 + 75 + 2k + k + 3k = 360° 6k = 360  180 = 180 k = 180/6 = 30° 

6. 
The pie chart illustrate the amount of private time a student spends in a week studying various subjects. use it to answer the question below A. \(3\frac{1}{3}\) hours B. 5 hours C. 8 hours D. 12 hours
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Detailed SolutionLet x represent the total number of hours spent per week\(∴ \frac{75}{360} \times x = \frac{5}{2}\\ ∴ x = \frac{360 \times 5}{725 \times 2}=12 hours\) 

7. 
A group of 11 people can speak either English or French or Both. Seven can speak English and six can speak French. What is the probability that a person chosen at random can speak both English and French? A. \(\frac{2}{11}\) B. \(\frac{4}{11}\) C. \(\frac{5}{11}\) D. \(\frac{11}{13}\)
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Detailed SolutionLet the number of people that speak both English and French = xThen (7  x) + x + (6  x) = 11 13  x = 11 \(\implies\) x = 2. \(\therefore\) P(picking a person that speaks both languages) = 2/11 

8. 
The interior angle of a regular polygon is twice the exterior angle. How many sides has the polygon? A. 5 B. 6 C. 8 D. 9
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Detailed SolutionLet the exterior angle = dNote: Exterior angle + Interior angle = 180° \(\implies\) d + 2d = 180° 3d = 180° \(\implies\) d = 60° Recall, exterior angle = \(\frac{360}{\text{no of sides}}\) \(\therefore \text{No of sides} = \frac{360}{60}\) = 6 sides 

9. 
Which of the following figures have one line of symmetry only? I. Isosceles triangle II. Rhombus III. Kite A. I and II only B. II and III only C. I and III only D. I, II, and III
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Detailed SolutionIsosceles triangle and Kite shapes have 1 line of symmetry each while the rhombus has 2 lines of symmetry. 
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