Mathematics (Core)
Paper 1 | Objectives | 50 Questions
WASSCE/WAEC MAY/JUNE
Year: 1991
Level: SHS
Time:
Type: Question Paper
Answers provided
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Paper 1 | Objectives | 50 Questions
WASSCE/WAEC MAY/JUNE
Year: 1991
Level: SHS
Time:
Type: Question Paper
Answers provided
No description provided
This paper is yet to be rated
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| # | Question | Ans |
|---|---|---|
| 1. |
Express 0.0462 in standard form A. 0.462 x 10-1 B. 0.462 x 10-2 C. 4.62 x 10-1 D. 4.62 x 10-2 E. 4.62 x 103
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Detailed Solution4.62 x 10-2 |
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| 2. |
The population of a village is 5846. Express this number to three significant figures A. 5850 B. 5846 C. 5840 D. 585 E. 584
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Detailed Solution5846 \(\approxeq\) 5850 (to 3 s.f.) |
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| 3. |
Simplify: log6 + log2 - log12 A. -4 B. -1 D. 1 E. 4
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Detailed Solutionlog 6 + log 2 - log 12= \(\log (\frac{6 \times 2}{12})\) = \(\log 1\) = 0 |
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| 4. |
Find the number whose logarithm to base 10 is 2.6025 A. 400.4 B. 0.4004 C. 0.04004 D. 0.004004 E. 0.0004004
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Detailed SolutionFor the log to be 2.6025, there must be three digits before the decimal point. |
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| 5. |
Simplify: \((\frac{1}{4})^{-1\frac{1}{2}}\) A. 1/8 B. 1/4 C. 2 D. 4 E. 8
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Detailed Solution\((\frac{1}{4})^{-1\frac{1}{2}}\)= \((\frac{1}{4})^{-\frac{3}{2}}\) = \((\sqrt{\frac{1}{4}})^{-3}\) = \((\frac{1}{2})^{-3}\) = \(2^3\) = 8 |
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| 6. |
For what value of y is the expression \(\frac{y + 2}{y^{2} - 3y - 10}\) undefined? A. y = 0 B. y = 2 C. y = 3 D. y = 5 E. y = 10
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Detailed Solution\(\frac{y + 2}{y^2 - 3y - 10}\)\(y^2 - 3y - 10 = 0 \implies y^2 - 5y + 2y - 10 = 0\) \(y(y - 5) + 2(y - 5) = 0\) \((y - 5)(y + 2) = 0\) \(\frac{y + 2}{(y - 5)(y + 2)} = \frac{1}{y - 5}\) \(\therefore\) At y = 5, the expression \(\frac{y + 2}{y^2 - 3y - 10}\) is undefined. |
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| 7. |
Factorize 3a\(^2\) - 11a + 6 A. (3a - 2)(a - 3) B. (2a -2)(a - 3) C. (3a - 2)(a + 3) D. (3a + 2)(a - 3) E. (2a-3)(a + 2)
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Detailed Solution3a\(^2\) - 11a + 63a\(^2\) - 9a - 2a + 6 3a(a - 3) - 2(a - 3) = (3a - 2)(a - 3) |
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| 8. |
Solve the equation: 3a + 10 = a\(^2\) A. a = 5 or a = 2 B. a = -5 or a = 2 C. a = 10 or a = 0 D. a = 5 or a = 0 E. a = 5 or a = -2
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Detailed Solution3a + 10 = a\(^2\)a\(^2\) - 3a - 10 = 0 a\(^2\) - 5a + 2a - 10 = 0 a(a - 5) + 2(a - 5) = 0 (a - 5)(a + 2) = 0 a = 5 or a = -2. |
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| 9. |
Simplify \((\frac{3}{x} + \frac{15}{2y}) \div \frac{6}{xy}\) A. \(\frac{2y - 5x}{4}\) B. \(\frac{9(2x - 5x)}{x^2y^2}\) C. \(\frac{5x - 2y}{2}\) D. \(\frac{c^2y^2}{18y - 45x}\) E. \(\frac{4}{2y - 5x}\)
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Detailed Solution\((\frac{3}{x} - \frac{15}{2y}) \div \frac{6}{xy}\)= \((\frac{6y - 15x}{2xy}) \div \frac{6}{xy}\) = \(\frac{6y - 15x}{2xy} \times \frac{xy}{6}\) = \(\frac{3(2y - 5x)}{2xy} \times \frac{xy}{6}\) = \(\frac{2y - 5x}{4}\) |
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| 10. |
Simplify: 1/4(2n - 2n+2) A. 2n2 - 2n B. 2n-2(1-2n) C. 2n + 22n + 2 D. 22n
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Detailed Solution1/4(2n - 2n+2) = 2-2(2n - 2n x 22) = 2n x -2(1 - 22)= 22n-2(20 - 22) = 22n-2 - 2n |
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