Paper 1  Objectives  45 Questions
JAMB Exam
Year: 2017
Level: SHS
Time:
Type: Question Paper
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#  Question  Ans 

1. 
Given T = { even numbers from 1 to 12 } A. {2, 3} B. {2, 3, 4} C. {3, 4, 6} D. {2}
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Detailed SolutionT = {evenn numbers from 1 to 12}N = {common factors of 6,8 and 12} Find T ∩ N T = {2, 4, 6, 8, 10, 12} N = {2} T ∩ N = {2} i.e value common to T & N There is an explanation video available below. 

2. 
What is the next number in the series 2, 1, \(\frac{1}{2}\), \(\frac{1}{4}\)... A. \(\frac{1}{3}\) B. \(\frac{2}{8}\) C. \(\frac{3}{7}\) D. \(\frac{1}{8}\) 

3. 
If U = {x : x is an integer and 1 ≤ x ≤ 20 } A. \(\frac{3}{4}\) B. \(\frac{3}{10}\) C. \(\frac{1}{4}\) D. \(\frac{1}{20}\)
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Detailed SolutionU = {1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20}E1 = {3, 6, 9, 12, 15, 18} E2 = {4, 8, 12, 16, 20} Probability of E2 = \(\frac{5}{20}\) i.e \(\frac{\text{Total number in}E_2}{\text{Entire number in set}}\) Probability of set E2 = 1 − \(\frac{5}{20}\) = \(\frac{15}{20}\) = \(\frac{3}{4}\) There is an explanation video available below. 

4. 
The curved surface area of a cylinder 5cm high is 110cm^{2}. Find the radius of its base A. 2.6cm B. 3.5cm C. 3.6cm D. 7.0cm 

5. 
If two graphs Y = px^{2} + q and y = 2x^{2} − 1 intersect at x =2, find the value of p in terms of q A. q − \(\frac{8}{7}\) B. 7 − \(\frac{q}{4}\) C. 8 − \(\frac{q}{2}\) D. 7 + \(\frac{q}{8}\) 

6. 
Evaluate (\(\sin\)45º + \(\sin\)30º ) in surd form A. \(\frac{\sqrt{3}}{2\sqrt{2}}\) B. √3 − \(\frac{1}{2}\) C. \(\frac{1}{2}\)√2 D. 1 + \(\frac{\sqrt{2}}{2}\)
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Detailed Solutionhypotenusesin = \(\frac{1}{2}\) \(\sin45 = \frac{1}{\sqrt{2}}\) = \(\frac{2}{2}\) ∴ (sin45 + sin30) = \(\frac{1}{\sqrt{2}} + \frac{1}{2}\) = \(\frac{\sqrt{2}}{2}\) + \(\frac{1}{2}\) = \(\frac{\sqrt{2} + 1}{2}\) = \(\frac{1 + \sqrt{2}}{2}\) There is an explanation video available below. 

7. 
If y = x Sin x, find \(\frac{dy}{dx}\) when x = \(\frac{\pi}{2}\) A. \(\frac{ \pi}{2}\) B. 1 C. 1 D. \(\frac{ \pi}{2}\)
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Detailed Solutiony = xsinx\(\frac{dy}{dx}\) = \(1 \sin x + x \cos x\) = \(\sin x + x \cos x\) At x = \(\frac{\pi}{2}\) = sin\(\frac{\pi}{2}\) + \(\frac{\pi}{2} \cos {\frac{\pi}{2}}\) = 1 + \(\frac{\pi}{2}\) × 0 = 1 There is an explanation video available below. 

8. 
If temperature t is directly proportional to heat h, and when t = 20^{o}C, h = 50 J, find t when h = 60J A. 24^{o}C B. 20^{o}C C. 34^{o}C D. 30^{o}C 

9. 
Evaluate 1  (\(\frac{1}{5}\) x \(\frac{2}{3}\)) + ( 5 + \(\frac{2}{3}\)) A. 4 B. 3 C. 2\(\frac{2}{3}\) D. \(\frac{98}{15}\) 
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