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Biology
UTME / JAMB 2014
Supporting Tissues & Skeletal System
Diagram
In the diagram, the part labelled I is the
Attached Figure / Diagram
A
xylem
B
phleom
C
root hairs
D
cortex
medium Difficulty
Verified Correct Answer: Option C
Biological Concept & Syllabus Guide
No expanded working has been attached for this question yet. The verified answer is Option C.
Source: Myschool Past Questions Archive (Record #37260)
Biology
UTME / JAMB 2014
Variety of Organisms & Classification of Living Things
Diagram
The diagram is the transverse section of a
Attached Figure / Diagram
A
monocotyledonous stem
B
dicotyledonous stem
C
monocotyledonous root
D
dicotyledonous root
medium Difficulty
Verified Correct Answer: Option D
Biological Concept & Syllabus Guide
No expanded working has been attached for this question yet. The verified answer is Option D.
Source: Myschool Past Questions Archive (Record #37261)
Biology
UTME / JAMB 2014
Variety of Organisms & Classification of Living Things
The diagram is the transverse section of a
A
monocotyledonous stem
B
dicotyledonous stem
C
monocotyledonous root
D
dicotyledonous root
medium Difficulty
Verified Correct Answer: Option D
Biological Concept & Syllabus Guide
No expanded working has been attached for this question yet. The verified answer is Option D.
Source: Official Exam / Past Question Archive
Physics
UTME / JAMB 2013
Atomic, Quantum, Nuclear Physics & Electronics
Solution
In photo-emission, the number of photo-electrons ejected per second depends on the?
A
frequency of the beam
B
work function of the metal
C
threshold frequency of the metal
D
intensity of the beam
medium Difficulty
Verified Correct Answer: Option D
Physical Principles & Numerical Solution
The photoelectric effect is dependent upon various factors including frequency of light, intensity of light, nature of material, energy of light and potential difference.
Source: WAEC / JAMB / NECO Classroom Archive (Record #27370)
Physics
UTME / JAMB 2013
Reflection, Refraction & Dispersion of Light
Solution
A ray of light passing through the centre of curvature of a concave mirror is reflected by the mirror at?
A
0o
B
45o
C
90o
D
180o
medium Difficulty
Verified Correct Answer: Option A
Physical Principles & Numerical Solution
-We see that as it passes through centre of curvature it reflects back its path
-Incident to the mirror at 90º
- and with the normal at 0º
Source: WAEC / JAMB / NECO Classroom Archive (Record #27355)
Physics
UTME / JAMB 2013
Reflection, Refraction & Dispersion of Light
Total internal reflection will not occur when light travels from
A
water to air
B
water into glass
C
glass to air
D
glass into water
medium Difficulty
Verified Correct Answer: Option B
Physical Principles & Numerical Solution
No expanded working has been attached for this question yet. The verified answer is Option B.
Source: WAEC / JAMB / NECO Classroom Archive (Record #27356)
Mathematics
UTME / JAMB 2013
Number Bases & Modular Arithmetic
Solution
Convert 2710 to another number in base three
A
10013
B
10103
C
11003
D
10003
medium Difficulty
Verified Correct Answer: Option D
Step-by-Step Mathematical Solution
\(\begin{array}{c|c}
3 & \text{27 rem 0} \\
\hline
3 & \text{ 9 rem 0} \\
\hline
3 & \text{ 3 rem 0} \\
\hline
3 & \text{ 1 rem 1}\\
\hline
& 0
\end{array}\)
Hence the correct answer is 10003
Source: Myschool Past Questions Archive (Record #27038)
Mathematics
UTME / JAMB 2013
Fractions, Decimals, Percentages & Approximations
Solution
3 girls share a number of apples in the ration 5:3:2. If the highest share is 40 apples, find the smallest share
A
36
B
24
C
16
D
38
medium Difficulty
Verified Correct Answer: Option C
Step-by-Step Mathematical Solution
The sum, S of ratio is S = 5 + 3 + 2 = 10.
But highest share = \(\frac{5}{10} \times T\), where T is the total number of apples.
Thus, \(40 = \frac{5}{10} \times T\),
given 40 x 10 = 5T,
\(T = \frac{40 \times 10}{5} = 80\)
Hence the smallest share = \(\frac{2}{10} \times 80\)
= 16 apples
Source: Myschool Past Questions Archive (Record #27039)
Mathematics
UTME / JAMB 2013
Indices, Logarithms & Surds
Solution
Evaluate \(\frac{1.25 \times 0.025}{0.05}\), correct to 1 decimal place
A
0.6
B
6.2
C
6.3
D
0.5
medium Difficulty
Verified Correct Answer: Option A
Step-by-Step Mathematical Solution
\(\frac{1.25 \times 0.025}{0.05}\)
\( = \frac{125 \times 10^{-2} \times 25 \times 10^{-3}}{5 \times 10^{-2}}\)
= 125 x 5 x 10-3
= 625 x 0.001
= 0.625
= 0.6 Approx to 1 d.p.
Source: Myschool Past Questions Archive (Record #27040)
Mathematics
UTME / JAMB 2013
Fractions, Decimals, Percentages & Approximations
Solution
Calculate the time taken for N3000 to earn N600 if invested at 8% simple interest
A
2\(\frac{1}{2}\) years
B
3 years
C
3\(\frac{1}{2}\) years
D
1\(\frac{1}{2}\) years
medium Difficulty
Verified Correct Answer: Option A
Step-by-Step Mathematical Solution
Using \(S.I =\frac{P \times T \times R}{100}\)
\(600 =\frac{3000 \times T \times 8}{100}\)
\(T =\frac{600 \times 100}{3000 \times 8}\)
\(\frac{20}{8}\)
= 2\(\frac{1}{2}\) years
Source: Myschool Past Questions Archive (Record #27041)
Mathematics
UTME / JAMB 2013
Indices, Logarithms & Surds
Solution
Simplify \(\frac{3^{-5n}}{9^{1-n}} \times 27^{n + 1}\)
A
32
B
33
C
35
D
3
medium Difficulty
Verified Correct Answer: Option D
Step-by-Step Mathematical Solution
\(\frac{3^{-5n}}{9^{1-n}} \times 27^{n + 1}\)
\(\frac{3^{-5n}}{3^{2(1-n)}} \times 3^{3(n + 1)}\)
\(3^{-5n} \div 3^{2(1-n)} \times 3^{3(n + 1)}\)
\(3^{-5n - 2(1-n) + 3(n + 1)}\)
\(3^{-5n - 2 + 2n + 3n + 3}\)
\(3^{-5n + 5n + 3 - 2}\)
\(3^{1}\)
= 3
Source: Myschool Past Questions Archive (Record #27042)
Mathematics
UTME / JAMB 2013
Plane Geometry, Polygons & Circle Theorems
Solution
If log104 = 0.6021, evaluate log1041/3
A
0.3011
B
0.9021
C
1.8063
D
0.2007
medium Difficulty
Verified Correct Answer: Option D
Step-by-Step Mathematical Solution
log1041/3 = 1/3 log104
= 1/3 x 0.6021
= 0.2007
Source: Myschool Past Questions Archive (Record #27043)
Mathematics
UTME / JAMB 2013
Indices, Logarithms & Surds
Solution
Simplify \(\frac{\sqrt{5}(\sqrt{147} - \sqrt{12}}{\sqrt{15}}\)
A
5
B
\(\frac{1}{5}\)
C
\(\frac{1}{9}\)
D
9
medium Difficulty
Verified Correct Answer: Option A
Step-by-Step Mathematical Solution
\(\frac{\sqrt{5}(\sqrt{147} - \sqrt{12}}{\sqrt{15}}\)
\(\frac{\sqrt{5}(\sqrt{49 \times 3} - \sqrt{4 \times 3}}{\sqrt{5 \times 3}}\)
\(\frac{\sqrt{5}(7\sqrt{3} - 2\sqrt{3}}{\sqrt{5} \times \sqrt{3}}\)
\(\frac{\sqrt{3} (7 - 2}{\sqrt{3}}\)
= 5
Source: Myschool Past Questions Archive (Record #27044)
Mathematics
UTME / JAMB 2013
Inequalities & Linear Programming
Solution
if P = {x:x is odd, \(-1 < x \leq 20\)} and Q is {y:y is prime, \(-2 < y \leq 25\), find P \(\cap\) Q
A
{3,5,7,11,17,19}
B
{3,5,11,13,17,19}
C
{3,5,7,11,13,17,19}
D
{2,3,5,7,11,13,17,19}
medium Difficulty
Verified Correct Answer: Option C
Step-by-Step Mathematical Solution
P = {1, 3, 5, 7, 9, 11, 13, 15, 17, 19}
Q = {-1, 3, 5, 7, 11, 13, 17, 19, 23}
P \(\cap\) Q = {3, 5, 7, 11, 13, 17, 19}
Source: Myschool Past Questions Archive (Record #27045)
Mathematics
UTME / JAMB 2013
Plane Geometry, Polygons & Circle Theorems
Solution
If S = \(\sqrt{t^2 - 4t + 4}\), find t in terms of S
A
S2 - 2
B
S + 2
C
S - 2
D
S2 + 2
medium Difficulty
Verified Correct Answer: Option B
Step-by-Step Mathematical Solution
S = \(\sqrt{t^2 - 4t + 4}\)
S2 = t2 - 4t + 4
t2 - 4t + 4 - S2 = 0
Using \(t = \frac{-b \pm \sqrt{b^2 - 4ac}}{2a}\)
Substituting, we have;
Using \(t = \frac{-(-4) \pm \sqrt{(-4)^2 - 4(1)(4 - S^2)}}{2(1)}\)
\(t = \frac{4 \pm \sqrt{16 - 4(4 - S^2)}}{2}\)
\(t = \frac{4 \pm \sqrt{16 - 16 + 4S^2}}{2}\)
\(t = \frac{4 \pm \sqrt{4S^2}}{2}\)
\(t = \frac{2(2 \pm S)}{2}\)
Hence t = 2 + S or t = 2 - S
Source: Myschool Past Questions Archive (Record #27046)