Paper 1 | Objectives | 48 Questions
JAMB Exam
Year: 2012
Level: SHS
Time:
Type: Question Paper
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Make sure you study hard but not into the late-night hours to give your body the enough rest you need.
Tips to make the best study space and quality time for studies are essential.
These are the best study techniques and methods that get higher grades in any school tests or exams.
# | Question | Ans |
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1. |
Convert 112\(_6\) to a number in base three A. 2211 B. 2121 C. 1212 D. 1122
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Detailed SolutionFirst, convert to base 10112\(_6\) = (1 x 6\(^2\)) + (1 x 6\(^1\)) + (2 x 6\(^0\)) = 36 + 6 + 2 = 44\(_{10}\) \(\begin{array}{c|c} 3 & 44 \\ \hline 3 & 14 & r 2 \\ \hline 3 & 4 & r 2 \\ \hline 3 & 1 & r 1 \\ \hline 3 & 0 & r 1 \end{array}\) Ans = 1122 = D There is an explanation video available below. |
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2. |
Simply \(\frac{2\frac{2}{3} \times 1\frac{1}{2}}{4\frac{4}{5}}\) A. \(1\frac{1}{4}\) B. \(1\frac{1}{6}\) C. \(\frac{5}{6}\) D. \(\frac{4}{5}\) |
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3. |
Evaluate \(\frac{21}{9}\) to 3 significant figures A. 2.30 B. 2.31 C. 2.32 D. 2.33
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Detailed Solution\(\frac{21}{9} = \frac{7}{3}\)= 2.33 (to 3 sig. figs) There is an explanation video available below. |
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4. |
A man earns N3,500 per month out of which he spends 15% on his children's education. If he spends additional N1,950 on food, how much does he have left? A. N525 B. N1,025 C. N1,950 D. N2,975 |
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5. |
If 27\(^{x + 2}\) \(\div\) 9\(^{x + 1}\) = 3\(^{2x}\), find x. A. 3 B. 4 C. 5 D. 6
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Detailed Solution\(27^{x + 2} \div 9^{x + 1} = 3^{2x}\)\(3^{3(x + 2)} \div 3^{2(x + 1)} = 3^{2x}\) \(3^{3x + 6} \div 3^{2x + 2} = 3^{2x}\) \(\therefore (3x + 6) - (2x + 2) = 2x\) \(x + 4 = 2x \implies x = 4\) There is an explanation video available below. |
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6. |
If log3x2 = -8, what is x? A. \(\frac{1}{3}\) B. \(\frac{1}{9}\) C. \(\frac{1}{27}\) D. \(\frac{1}{81}\) |
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7. |
Simplify \((\sqrt{6} + 2)^2 - (\sqrt{6} - 2)^2\) A. \(2\sqrt{6}\) B. \(4\sqrt{6}\) C. \(8\sqrt{6}\) D. \(16\sqrt{6}\) |
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8. |
If P is a set of all prime factors of 30 and Q is a set of all factors of 18 less than 10, find P \(\cap\) Q A. {3} B. {2,3} C. {2,3,5} D. {1,2}
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Detailed SolutionP = {2,3,5}Q = {2,3,6,9} P \(\cap\) Q = {2,3} There is an explanation video available below. |
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9. |
In a class of 46 students, 22 play football and 26 play volleyball. If 3 students play both games, how many play neither? A. 1 B. 2 C. 3 D. 4 |
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10. |
Make 'n' the subject of the formula if w = \(\frac{v(2 + cn)}{1 - cn}\) A. \(\frac{1}{c}(\frac{w - 2v}{v + w})\) B. \(\frac{1}{c}(\frac{w - 2v}{v - w})\) C. \(\frac{1}{c}(\frac{w + 2v}{v - w})\) D. \(\frac{1}{c}(\frac{w + 2v}{v + w})\) |
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