Paper 1  Objectives  46 Questions
WASSCE/WAEC MAY/JUNE
Year: 2003
Level: SHS
Time:
Type: Question Paper
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#  Question  Ans 

1. 
Simplify \(\left(\frac{3}{4}  \frac{1}{3}\right)\times 4\frac{1}{3}\div 3\frac{1}{4}\) A. \(\frac{5}{9}\) B. \(\frac{5}{16}\) C. \(\frac{8}{13}\) D. \(\frac{16}{5}\)
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Detailed Solution\((\frac{3}{4}  \frac{1}{3}) \times 4\frac{1}{3} \div 3\frac{1}{4}\)= \((\frac{9  4}{12}) \times \frac{13}{3} \div \frac{13}{4}\) = \(\frac{5}{12} \times \frac{13}{3} \times \frac{4}{13}\) = \(\frac{5}{9}\) 

2. 
The table below gives the distribution of marks obtained by a number of pupils in a class test.The mode of the distribution is A. 3 B. 5 C. 8 D. 18 
A 
3. 
The table below gives the distribution of marks obtained by a number of pupils in a class test.Find the median of the distribution A. 1 B. 2 C. 3 D. 4 
C 
4. 
The table below gives the distribution of marks obtained by a number of pupils in a class test.How many pupils scored at least 2 marks? A. 12 B. 23 C. 37 D. 49
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Detailed Solution= 12 + 18 + 11 + 8= 49 students 

5. 
Interprete the inequality represented on the number line A. 4< X ≤ 5 B. 4 ≤ x< 5 C. 4 D. 4≤x≤5 
A 
6. 
A student bought 3 notebooks and 1 pen for N35. After misplacing these items, she again bought 2 notebooks and 2 pens, all of the same type for A. N5.00 B. N7.50 C. N10.00 D. N15.00
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Detailed SolutionRepresent notebook with xRepresent pen with y ∴ 3x+y=35  (i) 2x+2y=30  (ii) Multiply eqn (i) by 2 and eqn (ii) by 1 6x+2y=70  (iii) 2x+2y=30  (iv) Subtract eqn (iv) from eqn (iii) 4x = 40 X = 10 Substitute x = 10 in eqn (i) 3x+y=35 3(10)+y=35 Y = 5 ∴ The cost of pen is N5.00 

7. 
Simplify \(\frac{4}{a3}\frac{1}{a+3}\) A. \(\frac{3a+11}{(a3)(a2)}\) B. \(\frac{3a+11}{(a+3)(a2)}\) C. \(\frac{3a+11}{(a+3)(a+2)}\) D. \(\frac{3a+11}{(a3)(a+2)}\)
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Detailed Solution\(\frac{4}{a3}\frac{1}{a+3}\\= \frac{4(a+2)1(a3)}{(a3)(a+2)}\\ =\frac{3a+11}{(a3)(a+2)} \) 

8. 
Simplify \(\frac{4\sqrt{18}}{\sqrt{8}}\) A. 2 B. 3 C. 6 D. 12
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Detailed Solution\(\frac{4\sqrt{18}}{\sqrt{8}}\\= \frac{4\sqrt{9\times 2}}{\sqrt{4 \times 2}} = \frac{12\sqrt{2}}{2\sqrt{2}}=\frac{6\sqrt{2}}{\sqrt{2}}\\ Rationalising \frac{6\sqrt{2}}{\sqrt{2}}\\ =\frac{6\sqrt{2}}{\sqrt{2}} \times \frac{\sqrt{2}}{\sqrt{2}} = 6\) 

9. 
In the diagram, PQ/RT /RS/ =/QS/, ∠QST= 70^{o} and ∠PQW = 55^{o} A. 235^{o} B. 290^{o} C. 305^{o} D. 325^{o}
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Detailed SolutionReflex ∠WQS = 360^{o}  (55^{o} + 70^{o})=360^{o}  125^{o} = 235^{o} 

10. 
Three men, Bedu, Bakre and Kofi shared' N500 in the ratio 3:2: x respectively. If Bedu’s share is N150, find the value of x. A. 1 B. 4 C. 5 D. 6
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Detailed Solution\(5+x\rightarrow 500\\3 \rightarrow 150\\ ∴ 3 \times 500 = 150 \times (5+x)\\ 1500 = 750 + 150x\\ x=\frac{750}{150}=5\) 
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