Mathematics (Core)
Paper 1 | Objectives | 48 Questions
JAMB Exam
Year: 2002
Level: SHS
Time:
Type: Question Paper
Answers provided
FREE
No description provided
Feedbacks
This paper is yet to be rated
Paper 1 | Objectives | 48 Questions
JAMB Exam
Year: 2002
Level: SHS
Time:
Type: Question Paper
Answers provided
No description provided
This paper is yet to be rated
Good jobs available to people without a college degree, how to get good job without a college degree?
8 Tips To Be More Productive in Test Revision for good grades and higher performance in exams
Adequate preparation and effective revision strategies tips to get a high score 320 in JAMB in 2022
| # | Question | Ans |
|---|---|---|
| 1. |
Without using tables, evaluate \((343)^{\frac{1}{3}} \times (0.14)^{-1} \times (25)^{-\frac{1}{2}}\) A. 10 B. 12 C. 8 D. 7
Show Content
Detailed Solution\((343)^{\frac{1}{3}} \times (0.14)^{-1} \times (25)^{-\frac{1}{2}}\)= \(\sqrt[3]{343} \times (\frac{14}{100})^{-1} \times (\sqrt{25})^{-1}\) = \(7 \times \frac{100}{14} \times \frac{1}{5}\) = 10. |
|
| 2. |
In a school, 220 students offer Biology or Mathematics or both. 125 offer Biology and 110 mathematics. How many offer Biology but not Mathematics? A. 95 B. 80 C. 125 D. 110
Show Content
Detailed SolutionHint: Represent the question in a venn diagram, such thatn(B ∩ M) = x n(B) only = 125-x n(M) only = 110-x => 125-x + 110-x + x = 220 => x = 15. n(B) only = 125 - 15 = 110 |
|
| 3. |
Simplify 52.4 - 5.7 - 3.45 - 1.75 A. 41.4 B. 41.5 C. 42.1 D. 42.2
Show Content
Detailed Solution52.4 - 5.7 - 3.45 - 1.75= 52.4 - (5.7 + 3.45 + 1.75) = 52.4 - 10.90 = 41.5 |
|
| 4. |
Simplify \((\sqrt{0.7} + \sqrt{70})^{2}\) A. 84.7 B. 70.7 C. 217.7 D. 168.7
Show Content
Detailed Solution\((\sqrt{0.7} + \sqrt{70})^{2}\)= \((\sqrt{0.7} + \sqrt{70})(\sqrt{0.7} + \sqrt{70})\) = \(0.7 + 2\sqrt{0.7 \times 70} + 70\) = \(0.7 + 14 + 70 \) = 84.7 |
|
| 5. |
Evaluate: \(\frac{0.21 \times 0.072 \times 0.00054}{0.006 \times 1.68 \times 0.063}\) A. 0.01286 B. 0.01285 C. 0.1286 D. 0.1285
Show Content
Detailed Solution\(\frac{0.21 \times 0.072 \times 0.00054}{0.006 \times 1.68 \times 0.063}\)= \(\frac{9 \times 10^{-10}}{7 \times 10^{-8}}\) = \(1.2857 \times 10^{-2}\) = \(0.012857 \approxeq 0.01286\) (to 4 s.f) |
|
| 6. |
A trader bought goats for N4000 each. He sold them for N180,000 at a loss of 25%. How many goats did he buy? A. 60 B. 50 C. 45 D. 36
Show Content
Detailed SolutionLet the number of goats be XC.P of X goats = N4000X S.P of X goats = (75/100) x 4000X = N3000X 3000X = 180,000 => X = 180000/3000 = 60. X = 60 goats |
|
| 7. |
If dy/dx = 2x - 3 and y = 3 when x = 0, find y in terms of x. A. 2x2 - 3x B. x2 - 3x C. x2 - 3x - 3 D. x2 - 3x + 3
Show Content
Detailed Solutiondy/dx = 2x - 3y = ∫2x - 3 dx => y = x2 - 3x + c 3 = (0)2 - 3(0) + c => c = 3 Thus y = x2 - 3x + 3 |
|
| 8. |
Find the derivative of \(y = \sin^{2} (5x)\) with respect to x. A. 10 sin 5x cos 5x B. 5 sin5x cos 5x C. 2 sin 5x cos 5x D. 15 sin 5x cos 5x
Show Content
Detailed Solution\(y = \sin^{2} (5x)\)Let u = sin 5x \(\frac{\mathrm d u}{\mathrm d x} = 5 \cos 5x\) \(\therefore y = u^{2}\) \(\frac{\mathrm d y}{\mathrm d u} = 2u\) \(\frac{\mathrm d y}{\mathrm d x} = 2u . 5 \cos 5x\) = \(10u \cos 5x\) = \(10 \sin 5x \cos 5x\) |
|
| 9. |
The slope of the tangent to the curve y = 3x\(^2\) - 2x + 5 at the point (1, 6) is A. 4 B. 1 C. 6 D. 5
Show Content
Detailed Solutiony = 3x\(^2\) - 2x + 5Slope = \(\frac{\mathrm d y}{\mathrm d x} = 6x - 2\) At x = 1, Slope : 6(1) - 2 = 4. |
|
| 10. |
Evaluate \(\int \sin 3x \mathrm d x\) A. (2/3) cos 3x + c B. (1/3) cos 3x + c C. (-1/3) cos 3x + c D. (-2/3) cos 3x + c
Show Content
Detailed Solution\(\int \sin 3x \mathrm d x = - \frac{\cos 3x}{3} + c\)= \(-\frac{1}{3} (\cos 3x) + c\) |
Preview displays only 10 out of the 48 Questions