Paper 1  Objectives  50 Questions
JAMB Exam
Year: 2009
Level: SHS
Time:
Type: Question Paper
Answers provided
No description provided
This paper is yet to be rated
Norway Kvaroy Arctic Women in Aquaculture Postgraduate Scholarship Program 2022 for African Women
These are the best study techniques and methods that get higher grades in any school tests or exams.
The best study methods and strategies and tips for successful exam preparation for good grades
#  Question  Ans 

1. 
If 55\(_x\) + 52\(_x\) = 77\(_{10}\) find X A. 5 B. 6 C. 7 D. 10
Show Content
Detailed Solution5 \(\times\) x\(^1\) + 5 \(\times\) x\(^0\) + 5 \(\times\) x\(^1\) + 2 \(\times\) x\(^0\) = 77(change all to base 10) 5x + 5 + 5x + 2 = 77 10x + 7 = 77 10x = 777 10x = 70 x = 70/10 x = 7 There is an explanation video available below. 

2. 
Simplify \(7\frac{1}{12}4\frac{3}{4}+2\frac{1}{2}\) A. 4 B. 4^{1}/_{6} C. 4^{5}/_{6} D. 5^{1}/_{6}
Show Content
Detailed Solution\(7\frac{1}{12}4\frac{3}{4}+2\frac{1}{2}=5\left(\frac{19+6}{12}\right)\\5\left(\frac{2}{12}\right)\\ =4\left(\frac{122}{12}\right)\) (carry one from 5 and call it 12) \(4\frac{10}{12}\\ =4\frac{5}{6}\) There is an explanation video available below. 

3. 
Evaluate \(\frac{81.81+99.44}{20.09+36.16}\) correct to 3 significant figures. A. 6.24 B. 3.22 C. 2.78 D. 2.13
Show Content
Detailed Solution\(\frac{81.81 + 99.44}{20.09 + 36.16}\\=\frac{181.25}{56.25}\\ =\frac{18125}{5625}\\ \frac{29}{9}\\ =3\frac{2}{9}\\ ≅ 3.22\) There is an explanation video available below. 

4. 
A man bought a secondhand photocopying machine for N34,000. He serviced it at a cost of N2,000 and then sold it at a profit of 15%. What was the selling price? A. N37,550 B. N40,400 C. N41,400 D. N42,400
Show Content
Detailed SolutionC.P = N34000 + N2000 = N36000Gain = 100 + 15 = 115% S.P = \(\frac{115}{100}\times \frac{N3600}{1}\) = N41400 There is an explanation video available below. 

5. 
A student spent 1/5 of his allowance on books, 1/2 of remainder on food and kept the rest for contingencies. What fraction was kept? A. ^{7}/_{15} B. ^{8}/_{15} C. ^{2}/_{5} D. ^{4}/_{5}
Show Content
Detailed SolutionLet his allowance = y.\(Books = \frac{y}{5}\) \(Remainder: y  \frac{y}{5} = \frac{4y}{5}\) \(Food: \frac{1}{2} \times \frac{4y}{5} = \frac{2y}{5}\) \(Contingencies: \frac{4y}{5}  \frac{2y}{5} = \frac{2y}{5}\) Therefore, he kept \(\frac{2}{5}\) of his allowance for contingencies. There is an explanation video available below. 

6. 
If log\(_{10}\)2 = 0.3010 and log\(_{10}\)7 = 0.8451, evaluate log\(_{10}\)280 A. 3.4471 B. 2.4471 C. 1.4471 D. 1.4071
Show Content
Detailed SolutionLog 2 = 0.3010, Log 7 = 0.8451∴Log 280 = Log 28 x 10 = Log 7x4x10 =Log7 + Log4 + Log10 = Log7 + Log2\(^2\) + Log10 = Log7 + 2Log2 + Log10 = 0.8451 + 2(0.3010) + 1 = 0.8451 + 0.6020 + 1 = 2.4471 There is an explanation video available below. 

7. 
Simplify \(\frac{5+\sqrt{7}}{3+\sqrt{7}}\) A. 17√7 B. 4√7 C. 15+√7 D. 7√7
Show Content
Detailed Solution\(\frac{5+\sqrt{7}}{3+\sqrt{7}}=\frac{5+\sqrt{7}}{3+\sqrt{7}}\times \frac{3\sqrt{7}}{3\sqrt{7}}\\=\frac{(5+\sqrt{7})(3\sqrt{7})}{3^2  \sqrt{7}^2}\\ =\frac{155\sqrt{7}+3\sqrt{7}7}{97}\\ =\frac{82\sqrt{7}}{2}\) Factorize then divide by 2 \(=\frac{2(4\sqrt{7}}{2}\\ =4\sqrt{7}\) There is an explanation video available below. 

8. 
If x = {n\(^2\)+1:n is a positive integer and 1 \(\leq\) n \(\leq\) 5}, A. {5,10} B. {5, 10, 15} C. {2, 5, 10} D. {5, 10, 15, 20}
Show Content
Detailed SolutionX = {n(^2\)+1:n is a positive integer and 1 \(\leq\) n \(\leq\) 5}Implies X = {2, 5, 10, 17, 26} i.e. put n= 1, 2, 3, 4 and 5 Y = {5n:n is a positive integer and 1 \(\leq\) n \(\leq\) 5} Put X = 1, 2, 3, 4, and 5 Y = {5, 10, 15, 20, 25} X \(\cap\) Y = {2, 5, 10, 17, 26} \(\cap\) {5, 10, 15, 20, 25} = {5, 10} There is an explanation video available below. 

9. 
I.S∩T∩W=S II. S ∪ T ∪ W = W A. I and II B. I and III C. II and III D. I, II and III
Show Content
Detailed SolutionIf S \(\subset\) T \(\subset\) W,S \(\cap\) T \(\cap\) W = S is true since S \(\cap\) T = S and S \(\cap\) W = S. S \(\cup\) T \(\cup\) W = W is also true. S \(\cup\) T = T and T \(\cup\) W = W. However, to say that T \(\cap\) W = S is not very true mathematically. Instead, it is safe to say S \(\subset\) (T \(\cap\) W). There is an explanation video available below. 

10. 
If \(p=\sqrt{\frac{rs^3}{t}}\), express r in terms of p, s and t? A. \(\frac{p^2 t}{s^3}\) B. \(\frac{p^3 t}{s^3}\) C. \(\frac{p^3 t}{s^2}\) D. \(\frac{p^ t}{s^3}\)
Show Content
Detailed Solution\(p =\sqrt{\frac{rs^3}{t}}\\=p^2 =\frac{rs^3}{t}\\ tp^2 = rs^3\\ r = \frac{p^2 t}{s^3}\) There is an explanation video available below. 
Preview displays only 10 out of the 50 Questions