Mathematics (Core)
Paper 1 | Objectives | 63 Questions
WASSCE/WAEC MAY/JUNE
Year: 1998
Level: SHS
Time:
Type: Question Paper
Answers provided
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Paper 1 | Objectives | 63 Questions
WASSCE/WAEC MAY/JUNE
Year: 1998
Level: SHS
Time:
Type: Question Paper
Answers provided
No description provided
This paper is yet to be rated
| # | Question | Ans |
|---|---|---|
| 1. |
Find the root of the equation 2x\(^2\) - 3x - 2 = 0 A. x = -2 or 1/2 B. x = -2 or1 C. x = -2 or 2 D. x = -1 or 2 E. x = -1/2 or 2 Detailed Solution2x\(^2\) - 3x - 2 = 02x\(^2\) - 4x + x - 2 = 0 2x(x - 2) + 1(x - 2) = 0 (2x + 1)(x - 2) = 0 x = \(\frac{-1}{2}\) or x = 2 |
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| 2. |
What value of k makes the given expression a perfect square ? m\(^2\) - 8m + k = 0 A. 2 B. 4 C. 8 D. 16 E. 64 Detailed SolutionTake half the coefficient of m and square it=> (-8/2)2 = k = 16 |
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| 3. |
If log\(_{10}\) q = 2.7078, what is q? A. 5102 B. 849.9 C. 510.2 D. 84.99 E. 51.02 Detailed Solutionq = 10\(^{2.7078}\)Antilog of 2.7078 = 510.2 |
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| 4. |
Cos x is negative and sin x is negative.Which of the following is true of x? A. 0o < x < 90o B. 90o < x <180o C. 180o < x < 270o D. 270o < x <360o E. -90o < x <90o Detailed SolutionIn the 3rd quadrant, only the tan of angles are positive.The 3rd quadrant = 180° < x < 270° |
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| 5. |
Simplify 0.63954 ÷ 0.003 giving your answer correct to two significant figures A. 213.18 B. 213.00 C. 213 D. 210 E. 21 Detailed Solution= \(\frac{0.63954}{0.003}\)moving the decimal places, we have = \(\frac{639.54}{3}\) = 213.18 \(\approxeq\) 210 (to 2 s.f.) |
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| 6. |
If log\(_{10}\) a = 4; what is a? A. 0.4 B. 40 C. 400 D. 1000 E. 10000 Detailed Solutionlog\(_{10}\) a = 4a = 10\(^4\) = 10000 |
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| 7. |
A student measured the length of a room and obtained the measurement of 3.99m. If the percentage error of is measurement was 5% and his own measurement was smaller than the length , what is the length of the room? A. 3.78m B. 3.80m C. 4.18m D. 4.20m E. 4.788m Detailed SolutionLet the actual length of the room = y m\(\therefore \frac{y - 3.99}{y} \times 100% = 5%\) \(100(y - 3.99) = 5y \implies 100y - 399 = 5y\) \(100y - 5y = 399 \implies y = \frac{399}{95}\) y = 4.2 m |
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| 8. |
When an aeroplane is 800m above the ground, its angle of elevation from a point P on the ground is 30o. How far is the plane from P by line of sight? A. 400m B. 800m C. 1500m D. 1600m E. 1700m Detailed Solution From the diagram, \(\sin 30 = \frac{800}{x}\) \(x = \frac{800}{\sin 30} \) = \(\frac{800}{0.5} \) = 1600 m |
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| 9. |
Convert 35 to a number in base two A. 1011two B. 10011two C. 100011two D. 110010two E. 110001two Detailed Solution
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| 10. |
The nth term of a sequence is represented by 3 x 2(2-n). Write down the first three terms of the sequence A. 3/2, 3, 6 B. 6, 3, 3/2 C. 3/2, 3, 1/3 D. 2/3, 3, 8/3 E. 3/2, 0, 6 Detailed SolutionWhen n = 1, n = 2, n = 33 x 22 - 1 = 6 3 x 22 - 2 = 3 3 x 22 - 3 = 3/2 |
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| 11. |
Find the number whose logarithm to base 10 is 2.6025 A. 0.0004 B. 4.004 C. 40.04 D. 400.4 E. 4004 |
D |
| 12. |
A piece of cloth was measured as 6.10m. If the actual length of the cloth is 6.35, find the percentage error, correct to 2 decimal places A. 3.05% B. 3.95% C. 15.00% D. 25.00% E. 39.30% |
B |
| 13. |
Simplify \(\frac{8^{\frac{2}{3}}*27^{\frac{-1}{3}}}{64^{\frac{1}{3}}}\) A. -3 B. \(\frac{1}{9}\) C. \(\frac{1}{3}\) D. \(\frac{27}{8}\) E. 4 Detailed Solution\(\frac{8^{\frac{2}{3}}*27^{\frac{-1}{3}}}{64^{\frac{1}{3}}}\)\(\frac{2^2*3^{-3}}{4} = 3^{-1} = \frac{1}{3}\) |
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