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Biology
UTME / JAMB 1982
Reproduction in Plants & Animals
Solution
In human reproduction, the zygote formed as a result of fertilization gets attached to the wall of the uterus. The process is called
A
Sexual reproduction
B
Cohesion
C
Pregnancy
D
Implantation
E
Viviparity
medium Difficulty
Verified Correct Answer: Option D
Biological Concept & Syllabus Guide
Implantation is the process where a fertilized egg, now called a blastocyst, attaches to and burrows into the uterine lining, marking the beginning of pregnancy.
Implantation is the crucial step where the developing embryo embeds itself into the uterus, allowing it to receive nutrients and continue developing.
Source: Official Exam / Past Question Archive
Biology
UTME / JAMB 1982
Basic Ecological Concepts, Ecosystems & Biomes
Solution
A population is defined as the collection of
A
Similar organism that are found in the same habitat
B
Similar organisms that breed in the same habitat
C
Similar organisms that interbreed freely in the same habitat
D
Similar organism eating the same food
E
Different organisms in the same habitat
medium Difficulty
Verified Correct Answer: Option C
Biological Concept & Syllabus Guide
A population is a summation of all the organisms of the same group or species, which live in a particular geographical area, and have the capability of interbreeding.
REF:https://en.wikipedia.org/wiki/Population
Source: Official Exam / Past Question Archive
Physics
UTME / JAMB 1981
Newton's Laws, Momentum & Collisions
Solution
The driver in a motor car, of which the total mass is 800kg and which is traveling at 20ms-1, suddenly observes a stationary dog in his path 50m ahead. If the car brakes can exert a force of 2000N, what will most likely happen?
A
the car will be able to stop immediately the driver notices the dog
B
the car will stop 30m after hitting the dog
C
the car will stop 20m in front of the dog
D
the driver will quickly reverse the car
E
the car will stop 5m beyound the dog
medium Difficulty
Verified Correct Answer: Option B
Physical Principles & Numerical Solution
F=ma
2000=800 x a
a = \(\frac{2000}{800}\) → 2.5
V\(^2\)=u\(^2\)+2as
400=2 \times 2.5 \times S
S =400 \div 5 → 80
: 80 - 50 = 30
The car will stop 30m after hitting the dog
Source: WAEC / JAMB / NECO Classroom Archive (Record #29010)
Physics
UTME / JAMB 1981
Circular Motion, Gravitation & Simple Harmonic Motion
Solution
The relationship between the period T and the length l of a simple pendulum is T = 2\( \pi \) \( ( \frac{I}{g}) ^{ \frac{1}{2} } \). From experiment data of T and I, one can obtain the following graphs, i. T vs.I ii. T vs I2 iii. T2 vs. I iv. T vs \( \sqrt{I} \) v. logT vs logI. Which of the following graphs, are linear?
A
all
B
only i and ii
C
only iii and iv
D
iii, iv and v
E
none of them
medium Difficulty
Verified Correct Answer: Option D
Physical Principles & Numerical Solution
A graph of l against T\(^2\) will be linear
With T vs \( \sqrt{I} \) and log T vs log L
The value of g can be obtained from the slope of each graph.
Source: WAEC / JAMB / NECO Classroom Archive (Record #29035)
Physics
UTME / JAMB 1981
Temperature, Thermometry & Thermal Expansion
Solution
When fixed mass of an ideal gas expands at constant temperature, which property of the gas molecule increases?
A
average number per unit volume
B
average kinetic energy
C
average speed
D
average seperation
E
average number of collisions per unit time
medium Difficulty
Verified Correct Answer: Option D
Physical Principles & Numerical Solution
Since the gas molecules expanded, there's an increase in Separation
Source: WAEC / JAMB / NECO Classroom Archive (Record #28973)
Physics
UTME / JAMB 1981
Calorimetry, Latent Heat & Change of State
Solution
A vapour is said to be saturated when?
A
more molecules return to the liquid than leave it
B
a dynamic equilibrium exists between the liquid molecules and the vapour molecules at a given temperature
C
the vapour pressure is atmospheric
D
the temperature of the vapour varies
E
all molecules are moving with the same speed
medium Difficulty
Verified Correct Answer: Option B
Physical Principles & Numerical Solution
A vapor saturated is said to be in a dynamic equilibrium with its own liquid
Source: WAEC / JAMB / NECO Classroom Archive (Record #28964)
Chemistry
UTME / JAMB 1981
Non-Metals & Their Compounds
Solution
Allotropes are elements having?
A
different physical but the same chemical properties
B
different chemical but the same physical properties
C
the same chemical and physical properties
D
different atomic structure
E
the same position in the periodic table
medium Difficulty
Verified Correct Answer: Option A
Chemical Principles & Mechanism
Allotropes are two or more different physical forms in which an element can exist. Graphite, charcoal, and diamond are all allotropes of carbon.
Source: WAEC / JAMB / NECO Classroom Archive (Record #13968)
Chemistry
UTME / JAMB 1981
Kinetic Theory of Matter & Gas Laws
Solution
When air is compressed?
A
its density decreases
B
it solidifies
C
its temperature decreases
D
its temperature increases
E
its temperature remains unchanged
medium Difficulty
Verified Correct Answer: Option D
Chemical Principles & Mechanism
Compressed air is a gas, or a combination of gases, that has been put under greater pressure than the air in the general environment.
When you pressurize a gas by compressing it into a container, you're putting all those molecules into a smaller volume of space and you're adding potential energy by the compression.
Gay Lussac's Law - states that the pressure of a given amount of gas held at constant volume is directly proportional to the Kelvin temperature.
Source: WAEC / JAMB / NECO Classroom Archive (Record #14008)
Chemistry
UTME / JAMB 1981
Acids, Bases, pH & Salts
Solution
The brown coloration in nitric acid prepared in the laboratory can be removed by?
A
heating the acid
B
bubbling air through the acid
C
cooling the acid
D
adding a decolorizing agent
E
adding a base
medium Difficulty
Verified Correct Answer: Option B
Chemical Principles & Mechanism
The color of nitrogen dioxide is reddish brown. This nitrogen dioxide when comes in contact with acid appears yellow in color.
This means the color of nitric acid can be removed by bubbling air through acid.
Source: WAEC / JAMB / NECO Classroom Archive (Record #13964)
Chemistry
UTME / JAMB 1981
Periodic Table & Periodicity
Solution
An element X has 127 neutrons and 82 electrons.
Its atomic number is?
A
209
B
105
C
45
D
82
medium Difficulty
Verified Correct Answer: Option D
Chemical Principles & Mechanism
An atom that has equal number of protons and electrons is called a neutral atom.
With 82 electrons, the atomic number is also 82
Source: WAEC / JAMB / NECO Classroom Archive (Record #13941)
Chemistry
UTME / JAMB 1981
Electrolysis & Electrochemical Cells
Solution
Oxidation is the process of?
A
gain of electrons
B
loss of electrons
C
gain of hydrogen
D
loss of oxygen
E
addition of an electropositive element to a substance
medium Difficulty
Verified Correct Answer: Option B
Chemical Principles & Mechanism
Oxidation is the loss of electrons or an increase in the oxidation state of a chemical or atoms within it.
Source: WAEC / JAMB / NECO Classroom Archive (Record #13954)
Chemistry
UTME / JAMB 1981
Non-Metals & Their Compounds
Solution
In the reaction of oxygen with hydrogen to produce water, which of the following statements is true?
A
One atom of hydrogen reacts with two atoms of oxygen to give one molecule of water
B
Two atoms of hydrogen react with two atoms of oxygen to give two molecules of water
C
One molecule of oxygen reacts with one molecule of hydrogen to give two molecules of water
D
One molecule of hydrogen reaccts with two molecules of oxygen to give three molecules of water
E
One molecule of oxygen reacts with two molecules of hydrogen to give two molecules of water
medium Difficulty
Verified Correct Answer: Option E
Chemical Principles & Mechanism
The oxidation of hydrogen by oxygen gives water and a certain amount of heat of formation.
Source: WAEC / JAMB / NECO Classroom Archive (Record #13972)
Chemistry
UTME / JAMB 1981
Organic Chemistry II: Functional Groups, Polymers & Biomolecules
Solution
Which of the following can have an isomer?
A
C2H4
B
C4H10
C
C3H8
D
C2H6
E
C6H6
medium Difficulty
Verified Correct Answer: Option B
Chemical Principles & Mechanism
Butane is an alkane with four carbon atoms so molecular formula is C4H10. It has two isomers; n-butane and isobutane.
Source: WAEC / JAMB / NECO Classroom Archive (Record #13967)
Mathematics
UTME / JAMB 1981
Variations
Solution
Suppose x varies inversely as y, y varies directly as the square of t and x = 1, when t = 3. Find x when t = \(\frac{1}{3}\).
A
81
B
27
C
\(\frac{1}{9}\)
D
\(\frac{1}{27}\)
E
\(\frac{1}{81}\)
medium Difficulty
Verified Correct Answer: Option A
Step-by-Step Mathematical Solution
\(x \propto \frac{1}{y}\)
\(x = \frac{k}{y}\)
\(y \propto t^{2}\)
\(y = ct^{2}\)
k and c are constants.
\(x = \frac{k}{ct^{2}}\)
Let \(\frac{k}{c} = d\) (a constant)
\(x = \frac{d}{t^{2}}\)
\(1 = \frac{d}{3^{2}} \implies d = 9\)
\(\therefore x = \frac{9}{t^{2}}\)
\(x = 9 \div (\frac{1}{3})^{2} \)
= \( 9 \div \frac{1}{9} = 9 \times 9 = 81\)
Source: Myschool Past Questions Archive (Record #32546)
Mathematics
UTME / JAMB 1981
Trigonometry, Elevation & Bearings
Solution
If sine x equals cosine x, what is x in radians?
A
\(\frac{\pi}{2}\)
B
\(\frac{\pi}{3}\)
C
\(\frac{\pi}{4}\)
D
\(\frac{\pi}{6}\)
E
\(\frac{\pi}{12}\)
medium Difficulty
Verified Correct Answer: Option C
Step-by-Step Mathematical Solution
\(\sin x = \cos x\)
\(\implies x = 45^\circ\)
In radians, \(x = \frac{\pi}{4}\).
Source: Myschool Past Questions Archive (Record #32547)