Year :
2005
Title :
Mathematics (Core)
Exam :
WASSCE/WAEC MAY/JUNE
Paper 1 | Objectives
41 - 47 of 47 Questions
| # | Question | Ans |
|---|---|---|
| 41. |
XOY is a real sector of a circle center O of radius 3.5cm which subtends an angle of 144o at the center. Calculate, in term of ϖ, the area of the sector A. 1.4ϖcm2 B. 2.8ϖcm2 C. 4.9ϖcm2 D. 9.8ϖcm2 Detailed SolutionArea of a sector \(=\frac{\theta}{360}\times \pi r^2\\\left(\frac{144}{360}\times \pi \times \frac{3.5}{1} \times 3.5\right)cm^2 = 4.9\pi cm^2\) |
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| 42. |
A rectangular packet has inner dimension 16cm by 12cm by 6cm. How many cubes of sugar of side 2cm can be neatly packed into the packet? A. 90 B. 144 C. 150 D. 288 Detailed SolutionVolume of rectangular packet = (16 x 12 x 6)cm3 = 1152cm3. Volume of cube of sugar = 2 x 2 x 2 = 8cm∴ The number of cubes f sugar \(=\frac{1152}{8}=144\) |
|
| 43. |
If \(y \alpha \frac{1}{x^2}\) and \(y = 1\frac{1}{4}\) when x = 4, find the value of y when \(x = \frac{1}{2}\) A. \(2\frac{1}{2}\) B. 5 C. 10 D. 80 Detailed Solution\(y \propto \frac{1}{x^2} \Rightarrow y = \frac{k}{x^2} \Rightarrow k = yx^2\\k = 1\frac{1}{4} \times 4^2 \Rightarrow k=\frac{5}{4}\times \frac{16}{1}=20\\ ∴y = 20 \div \left(\frac{1}{2}\right)^2=20\times \frac{4}{1}=80\) |
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| 44. |
Ladi sold a car for N84,000 at a loss of 4%. How much did ladi buy the car A. 80,500 B. 80,640 C. 87,360 D. 87,500 Detailed SolutionThe car was sold at 96% ---- N84,000.00The price of the car is 100% ---- ? \(\frac{100}{96} \times \frac{84,000}{1}; 25 \times 10,500 = 87,500 \) |
|
| 45. |
The monthly salary of a man increased from N2,700 to N3,200. Find the percentage increase A. 10% B. 15% C. 15.6% D. 18.5% Detailed Solution\(\% increase = \frac{Increase}{initial\hspace{1mm} salary}\times 100\%\\Increase=N3,200 - N2,700 = N500\\ Initial \hspace{1mm} salary=N2,700.00=\frac{N500}{N2,700}\times 100\% = 18.5\%\) |
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| 46. |
 In the diagram, O is the center of the circle, ∠MON = 80o, ∠LMO = 10o and ∠LNO = 15o. Calculate the value of x A. 40o B. 50o C. 55o D. 75o Detailed SolutionReflex + ∠OML + ∠ONL + ∠NLM = 360280o + 10o + 15o + x = 360o => 305o + xo = 360o x = 360o - 305o = 55o |
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| 47. |
 The figure shows a quadrilateral PQRS having equal sides and opposite sides parallel. The diagonals PR and QS intersect perpendicularly at O, Which of the following statements cannot be correct A. |PO|=|RO| B. PQR is an equilateral triangle C. PQRX is a parallelogram D. There are two lines of symmetry |
B |
| 41. |
XOY is a real sector of a circle center O of radius 3.5cm which subtends an angle of 144o at the center. Calculate, in term of ϖ, the area of the sector A. 1.4ϖcm2 B. 2.8ϖcm2 C. 4.9ϖcm2 D. 9.8ϖcm2 Detailed SolutionArea of a sector \(=\frac{\theta}{360}\times \pi r^2\\\left(\frac{144}{360}\times \pi \times \frac{3.5}{1} \times 3.5\right)cm^2 = 4.9\pi cm^2\) |
|
| 42. |
A rectangular packet has inner dimension 16cm by 12cm by 6cm. How many cubes of sugar of side 2cm can be neatly packed into the packet? A. 90 B. 144 C. 150 D. 288 Detailed SolutionVolume of rectangular packet = (16 x 12 x 6)cm3 = 1152cm3. Volume of cube of sugar = 2 x 2 x 2 = 8cm∴ The number of cubes f sugar \(=\frac{1152}{8}=144\) |
|
| 43. |
If \(y \alpha \frac{1}{x^2}\) and \(y = 1\frac{1}{4}\) when x = 4, find the value of y when \(x = \frac{1}{2}\) A. \(2\frac{1}{2}\) B. 5 C. 10 D. 80 Detailed Solution\(y \propto \frac{1}{x^2} \Rightarrow y = \frac{k}{x^2} \Rightarrow k = yx^2\\k = 1\frac{1}{4} \times 4^2 \Rightarrow k=\frac{5}{4}\times \frac{16}{1}=20\\ ∴y = 20 \div \left(\frac{1}{2}\right)^2=20\times \frac{4}{1}=80\) |
|
| 44. |
Ladi sold a car for N84,000 at a loss of 4%. How much did ladi buy the car A. 80,500 B. 80,640 C. 87,360 D. 87,500 Detailed SolutionThe car was sold at 96% ---- N84,000.00The price of the car is 100% ---- ? \(\frac{100}{96} \times \frac{84,000}{1}; 25 \times 10,500 = 87,500 \) |
| 45. |
The monthly salary of a man increased from N2,700 to N3,200. Find the percentage increase A. 10% B. 15% C. 15.6% D. 18.5% Detailed Solution\(\% increase = \frac{Increase}{initial\hspace{1mm} salary}\times 100\%\\Increase=N3,200 - N2,700 = N500\\ Initial \hspace{1mm} salary=N2,700.00=\frac{N500}{N2,700}\times 100\% = 18.5\%\) |
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| 46. |
In the diagram, O is the center of the circle, ∠MON = 80o, ∠LMO = 10o and ∠LNO = 15o. Calculate the value of x A. 40o B. 50o C. 55o D. 75o Detailed SolutionReflex + ∠OML + ∠ONL + ∠NLM = 360280o + 10o + 15o + x = 360o => 305o + xo = 360o x = 360o - 305o = 55o |
|
| 47. |
The figure shows a quadrilateral PQRS having equal sides and opposite sides parallel. The diagonals PR and QS intersect perpendicularly at O, Which of the following statements cannot be correct A. |PO|=|RO| B. PQR is an equilateral triangle C. PQRX is a parallelogram D. There are two lines of symmetry |
B |