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Biology
UTME / JAMB 1984
Population Ecology, Habitats & Conservation
Solution
The process of soil erosion is usually from
A
rill → sheet → gully
B
gully → rill → sheet
C
sheet → guly → rill
D
sheet → rill → gully
E
rill → gully → sheet
medium Difficulty
Verified Correct Answer: Option D
Biological Concept & Syllabus Guide
The correct order is usually splash erosion, followed by sheet erosion, then rill erosion, and finally gully erosion. "Roll" is not a recognized stage in the erosion process, and it seems to be a misunderstanding of the term "rill erosion" which refers to small, parallel channels.
Splash erosion: This is the initial stage where raindrops dislodge soil particles.
Sheet erosion: Water flows in a thin sheet across the land, removing a uniform layer of soil.
Rill erosion: Water concentrates into small, narrow channels, and these channels are called rills.
Gully erosion: Rills grow into larger, deeper channels called gullies.
Source: Myschool Past Questions Archive (Record #2891)
Biology
UTME / JAMB 1984
Variety of Organisms & Classification of Living Things
Diagram
The structure above represents a quill feather. The structure labelled 'M' is the
Attached Figure / Diagram
A
quill
B
rachis
C
superior umbilicus
D
inferior umbilicus
E
aftershaft
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 #15539)
Biology
UTME / JAMB 1984
Variety of Organisms & Classification of Living Things
Diagram
The young chick is formed from
Attached Figure / Diagram
A
3
B
3 and 4
C
1, 3 and 5
D
2
E
4
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 #15540)
Biology
UTME / JAMB 1984
Nutrition in Plants & Animals (Photosynthesis & Food Substances)
Diagram
Solution
Which parts provide food for the developing chick?
Attached Figure / Diagram
A
2 and 3
B
4 and 5
C
3 and 4
D
2 and 5
E
1 and 2
medium Difficulty
Verified Correct Answer: Option C
Biological Concept & Syllabus Guide
The yolk (also known as the vitellus) is the nutrient-bearing portion of the egg whose primary function is to supply food for the development of the embryo.
Albumen proteins are known to flow into the amniotic cavity, the yolk sac and finally the digestive tract of the embryo and are used as the main source of proteins for tissue synthesis.
They are labelled 3 & 4 respectively.
Source: Myschool Past Questions Archive (Record #15541)
Biology
UTME / JAMB 1984
Nutrition in Plants & Animals (Photosynthesis & Food Substances)
Solution
Which parts provide food for the developing chick?
A
2 and 3
B
4 and 5
C
3 and 4
D
2 and 5
E
1 and 2
medium Difficulty
Verified Correct Answer: Option C
Biological Concept & Syllabus Guide
The yolk (also known as the vitellus) is the nutrient-bearing portion of the egg whose primary function is to supply food for the development of the embryo.
Albumen proteins are known to flow into the amniotic cavity, the yolk sac and finally the digestive tract of the embryo and are used as the main source of proteins for tissue synthesis.
They are labelled 3 & 4 respectively.
Source: Official Exam / Past Question Archive
Mathematics
UTME / JAMB 1983
Algebraic Expressions, Polynomials & Factorisation
Solution
Factorize completely 81a\(^4\) - 16b\(^4\)
A
(3a + 2b)(2a - 3b)(9a2 + 4b2)
B
(3a - 2b)(2a - 3b)(4a2 - 9b2)
C
(3a - 2b)(3a + 2b)(9a2 + 4b2)
D
(6a - 2b)(8a - 3b)(4a3 - 9b2)
medium Difficulty
Verified Correct Answer: Option C
Step-by-Step Mathematical Solution
81a\(^4\) - 16b\(^4\) = (9a\(^2\))\(^2\) - (4b\(^2\))\(^2\)
= (9a\(^2\) + 4b\(^2\))(9a\(^2\) - 4b\(^2\))
N:B 9a\(^2\) - 4b\(^2\) = (3a - 2b)(3a + 2b)
Source: WAEC / JAMB / NECO Classroom Archive (Record #32471)
Mathematics
UTME / JAMB 1983
Plane Geometry, Polygons & Circle Theorems
Solution
If (x + 2) and (x - 1) are factors of the expression \(Lx^{3} + 2kx^{2} + 24\), find the values of L and k.
A
1 = -6, k = -9
B
1 = -2, k = 1
C
k = -1, 1 = -2
D
1 = 0, k = 1
E
k = 0,1 = 6
medium Difficulty
Verified Correct Answer: Option A
Step-by-Step Mathematical Solution
f(x) = Lx3 + 2kx2 + 24
f(-2) = -8L + 8k = -24
4L - 4k = 12
f(1):L + 2k = -24
L - 4k = 3
3k = -27
k = -9
L = -6
Source: WAEC / JAMB / NECO Classroom Archive (Record #32452)
Mathematics
UTME / JAMB 1983
Plane Geometry, Polygons & Circle Theorems
Diagram
Solution
In the figure PT is a tangent to the circle with centre at O. If PQT = 30o, find the value of PTO
Attached Figure / Diagram
A
30o
B
50o
C
24o
D
12o
E
60o
medium Difficulty
Verified Correct Answer: Option A
Step-by-Step Mathematical Solution
O\(\hat{P}\)T = 90º (The radius is perpendicular to the tangent at the point of contact.)
Sum of angles in \(\triangle\) PQT = 30 + ( 90 + x ) + (x + 2x) = 180
= 120 + 4x = 180
4x = 180 - 120 = 60º
x = \(\frac{60}{4}\) = 15^\circ
Therefore, P\(\hat{T}\)O = 2x = 2 x 15 = 30º
Source: WAEC / JAMB / NECO Classroom Archive (Record #32775)
Mathematics
UTME / JAMB 1983
Trigonometry, Elevation & Bearings
Solution
A ship H leaves a port P and sails 30 km due south. Then it sails 60km due west. What is the bearing of H from P?
A
20o 34'
B
243o 26'
C
116o 34'
D
63o 26'
E
240o 56'
medium Difficulty
Verified Correct Answer: Option B
Step-by-Step Mathematical Solution
Let the bearing of H from P be represented by x^\circ.
\(\tan \theta = \frac{30}{60} = 0.5\)
\(\theta = \tan^{-1} (0.5) = 26.565^\circ\)
\(x = 180^\circ + (90 - 26.565)\)
\(x = 180 + 63.435 = 243.435^\circ\)
= \(243^\circ 26'\)
Source: WAEC / JAMB / NECO Classroom Archive (Record #32473)
Physics
UTME / JAMB 1983
Calorimetry, Latent Heat & Change of State
Solution
The specific latent heat of vaporization of a substance is always?
A
less than its specific latent heat of fusion
B
greater than its specific heat of fusion
C
equal to its specific latent heat of fusion
D
all of the above depending on the nature of the substance
E
none of the above
medium Difficulty
Verified Correct Answer: Option B
Physical Principles & Numerical Solution
Latent heat of Vaporization is much greater than Latent Heat of Fusion for a given substance since vaporization involves more energy to separate molecules as well as to push back on the surrounding atmosphere.
Source: WAEC / JAMB / NECO Classroom Archive (Record #28884)
Physics
UTME / JAMB 1983
Current Electricity & Electric Circuits
Diagram
Solution
The diagram above shows three circuits, the internal resistances of the batteries are negligible. which of the currents is the largest
Attached Figure / Diagram
A
I1
B
I2
C
I3
D
I4
E
I5
medium Difficulty
Verified Correct Answer: Option E
Physical Principles & Numerical Solution
Current = \(\frac{\text{Voltage}}{\text{Resistance}}\)
I\(_1 = \frac{10}{2}\) = 5A
I\(_2 = \frac{10}{1}\) = 10A
I\(_3 = \frac{20}{3}\) = 6.67A
I\(_4 = \frac{20}{2}\) = 10A
I\(_5 = \frac{20}{1}\) = 20A
Source: WAEC / JAMB / NECO Classroom Archive (Record #41641)
Mathematics
UTME / JAMB 1983
Statistics (Data Representation, Central Tendency & Dispersion)
Solution
If M represents the median and D the mode of the measurements 5, 9, 3, 5, 7, 5, 8, then (M, D) is
A
(6, 5)
B
(5, 8)
C
(5, 7)
D
(5, 5)
E
(7, 5)
medium Difficulty
Verified Correct Answer: Option D
Step-by-Step Mathematical Solution
First re-arrange the given data in the form 3, 5, 5, 5, 7, 8, 9.
3, 5, 5,|5| 7, 8, 9
median(M) = 5
mode(D) = 5
(M, D) = (5, 5)
Source: Myschool Past Questions Archive (Record #32443)
Mathematics
UTME / JAMB 1983
Fractions, Decimals, Percentages & Approximations
Solution
A construction company is owned by two partners X and Y and it is agreed that their profit will be divided in the ratio 4:5. At the end of the year, Y received N5,000 more than X. What is the total profit of the company for the year?
A
N20, 000
B
N25,000
C
N30,000
D
N15,000
E
N45, 000
medium Difficulty
Verified Correct Answer: Option E
Step-by-Step Mathematical Solution
Total sharing ratio is 9
X has 4, Y has 4 + 1
If 1 is N5000
Total profit = 5000 x 9
= N45,000
Source: Myschool Past Questions Archive (Record #32445)
Mathematics
UTME / JAMB 1983
Plane Geometry, Polygons & Circle Theorems
Solution
Given a regular hexagon, calculate each interior angle of the hexagon
A
60o
B
30o
C
120o
D
45o
E
135o
medium Difficulty
Verified Correct Answer: Option C
Step-by-Step Mathematical Solution
Sum of interior angles of polygon = (2n - 4)rt o = (12 - 4) x 90o
= 8 x 90o
= 720o
each interior angle will have \(\frac{720^o}{6}\)
= 120o
Source: Myschool Past Questions Archive (Record #32446)
Mathematics
UTME / JAMB 1983
Fractions, Decimals, Percentages & Approximations
Solution
If x is jointly proportional to the cube of y and the fourth power of z. In what ratio is x increased or decreased when y is halved and z is doubled?
A
4:1 increase
B
2:1 increase
C
1:1 no change
D
1:4 decrease
E
3:4 decrease
medium Difficulty
Verified Correct Answer: Option B
Step-by-Step Mathematical Solution
\(x \propto y^{3} z^{4}\)
\(x = ky^{3} z^{4}\)
If y is halved and z is doubled, we have
\(x = k (\frac{1}{2} y)^{3} (2z)^{4}\)
\(x = k (\frac{y^{3}}{8}) (16z^{4})\)\)
\(x = 2k y^{3} z^{4}\)
\(\therefore \text{x is increased in the ratio 2 : 1}\)
Source: Myschool Past Questions Archive (Record #32447)