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Biology
WAEC / WASSCE 1998
Reproduction in Plants & Animals
Solution
(a) mention four caste found among termite nests
(b)(i) state one role of each caste to the colony.
(ii) mention two ways by which termites are of economic importance to man
(c)(i) mention two types of courtship behaviour in lower animals
(ii) state two importance of courtship behaviour in the reproduction of lower animals
(d) Describe briefly the courtship behaviour exhibited by Agama lizard
medium Difficulty
Verified Correct Answer: Option
Biological Concept & Syllabus Guide
(a) Castes found in termites are Queen, King, Soldiers, Workers, Winged reproductive
(b) (I) Role of each caste:
(1) Queen produces eggs/ egg laying/reproduction
(2) King fertilizes the eggs through mating with the queen
(3) Workers build/repair the termitarium/ the colony, search for/ store/collect /digest food, collect eggs, feed the nymphs/queen when too aged/necessary; clean the colony
(4) Soldiers protect the colony from enemies / defend the colony.
(5) Winged reproductive can become the future queen/future king or initiates a colony.
(ii) The economic importance of termites to man include:
(1) Destruction of crops, wood, furniture etc.
(2) Improves aeration of soil
(3) Edible/source of protein and revenue earning
(4) Helps to speed up decay processes and add manure to increase soil fertility.
(c)(i) Types of courtship behaviour in lower animals are: Dancing, Display, Singing/ croaking, Pairing, Nest-making, Seasonal migration, Territoriality, Production of odour by female to attract the male, Symbolic feeding of the female to attract the male.
(c) (ii) The importance of courtship behaviour in lower animals are:
(1) Prepares male and female for possible mating/pairing
(ii) Stimulates egg-laying and sperm release in the partners
(3) Enhances fertilization/reproduction.
(d) During courtship, the male Agama lizard establishes a territory and guards it from other males. The male displays its full colour which the female is attracted to and responds by assuming a soliciting posture by arching her back or bending down while lifting her tail up vertically.The male chases the female into the territory and grips her by the neck.
Source: Myschool Past Questions Archive (Record #52967)
Biology
WAEC / WASSCE 1998
Adaptation & Evolution
Solution
(a) Define the term organic evolution
(b) Outline the contribution of
(i) Larmack
(ii) Darwin to organic evolution
(c) List three evidences of organic evolution
(d) Explain the role of
(i) Mutation
(ii) Isolation in the form of new species
medium Difficulty
Verified Correct Answer: Option
Biological Concept & Syllabus Guide
(a)Organic evolution is a sum total of adaptive changes from pre-existing or old forms which have taken place over a long time and which result in diversity of form, structure, and functions among organisms.
(b) (i) Larmack contributed greatly to organic evolution as he brought great changes in environment resulting 'in a corresponding changes in the species. These changes cause the organism to form new structures or habits to adjust to the new or prevailing environment. The organism then develop specialised characters by use and dis-use of organs which when frequently used become well developed while the ones not used degenerate and become atrophied/useless/vestigial. The well developed or dominant acquired characters are inheritable.
(ii) Darwin in his contribution to organic evolution postulated that species have abilities to produce large number of offspring into the environment with limited resources, thus leading to competition by these offspring. The survivors which must have inherited the useful traits then reproduce and pass on these good traits to their offspring. Those that could not survive the struggle die off or are eliminated. This phenomenon is often referred to as the survival of the fittest/natural selection. There is great variability with population as this process continues through many generations while the population gradually becomes better adapted to the environment. This gives rise to the origin of new species.
(c) Evidences of organic evolution are:
(i) Geological /fossil records/palaeontology/archeological/ historical records,
(ii) Geographical distribution
(iii) Comparative anatomy/ structure
(iv) Embryology
(v) Vestigial organs
(vi) mesticated organism.
(d) (I) Mutation brings about sudden appearance of distinct trait or character in large population of organism due to minor change or alteration in the gene or chromosome. Mutation can only be inherited when it occurs in the gene or gametes leading to production and perpetuation of new species. Mutation elsewhere in the body can not be passed on or inherited.
(ii) The role of isolation in the formation of new species is that if members of a specie are separated into two or more populations by natural barriers like desert, mountains, oceans, rivers, continental drift, etc for a long period, their genes may change to the extent that they cannot interbreed again to produce viable offspring; and the population thereby may have produced new species.
Source: Myschool Past Questions Archive (Record #52969)
Mathematics
UTME / JAMB 1997
Indices, Logarithms & Surds
Solution
Evaluate 64.764\(^2\) - 35.236\(^2\) correct to 3 significant figures
A
2960
B
2950
C
2860
D
2850
medium Difficulty
Verified Correct Answer: Option B
Step-by-Step Mathematical Solution
(64.764 - 35.236)(64.764 + 35.236)
= 29.528 x 100
= 2950 to 3 sig. fig.
Source: WAEC / JAMB / NECO Classroom Archive (Record #30783)
Mathematics
UTME / JAMB 1997
Linear, Simultaneous & Quadratic Equations
Solution
Solve the simultaneous equations \(\frac{2}{x} - {\frac{3}{y}}\) = 2, \(\frac{4}{x} + {\frac{3}{y}}\) = 10
A
x = \(\frac{3}{2}\), y = \(\frac{3}{2}\)
B
x = \(\frac{1}{2}\), y = \(\frac{3}{2}\)
C
x = \(\frac{-1}{2}\), y = \(\frac{-3}{2}\)
D
x = \(\frac{1}{3}\), y = \(\frac{3}{2}\)
medium Difficulty
Verified Correct Answer: Option B
Step-by-Step Mathematical Solution
\(\frac{2}{x} - {\frac{3}{y}}\) = 2.....(1)
\(\frac{4}{x} + {\frac{3}{y}}\) = 10 ... (2)
(1) + (2):
\(\frac{6}{x}\) = 12 \(\to\) x = \(\frac{6}{12}\)
x = \(\frac{1}{2}\)
put x = \(\frac{1}{2}\) in equation (i)
= 4 - \(\frac{3}{y}\) = 2
= 4 - 2
= \(\frac{3}{y}\)
therefore y = \(\frac{3}{2}\)
Source: WAEC / JAMB / NECO Classroom Archive (Record #30801)
Mathematics
WAEC / WASSCE 1997
Algebraic Expressions, Polynomials & Factorisation
Solution
Make q the subject of the relation t = √(pq/r - r\(^2\)q)
A
q = \(\frac{rt^2}{(p - r^3)}\)
B
q = \(\frac{t^2}{(p - r^2)}\)
C
q = \(\frac{rt}{(p - r^3)}\)
D
q = \(\frac{(p - r^3)}{rt^2}\)
E
q = rt\(^2\)(p - r\(^3\))
medium Difficulty
Verified Correct Answer: Option A
Step-by-Step Mathematical Solution
t = \sqrtpq/r - r\(^2\)q
multiply both sides by the L.C.M, r
r\(^2\) = pq - qr\(^3\)
collect like terms on the RHS
q(p - r3) = rt\(^2\)
q = \(\frac{rt^2}{(p - r^3)}\)
Source: WAEC / JAMB / NECO Classroom Archive (Record #23862)
Physics
WAEC / WASSCE 1997
Calorimetry, Latent Heat & Change of State
Solution
Steel bars each of length 3m at 28°C are to be used for constructing a rail line. If the linear expansitivity of the steel is 1 x \(10^{-5}K^{-1}\),what is the safety gap that must be left between the successive bars if the highest temperature expected is 40°C?
A
1.2x \(10^{-1}cm\)
B
7.2x\(10^{-1}cm\)
C
6x\(10^{-1}cm\)
D
3.6x\(10^{-2}cm\)
E
1.8x\(10^{-1}cm\)
medium Difficulty
Verified Correct Answer: Option D
Physical Principles & Numerical Solution
\(\alpha= \frac{\Delta{L}}{L_1\Delta\theta}; \Delta{L}=\alpha{L_1}\Delta\theta\Rightarrow 1.0\times 10^{-5}\times 300\times (40-28)= 0.036 or 3.6\times 10^{-2}\)
Source: WAEC / JAMB / NECO Classroom Archive (Record #26296)
Physics
WAEC / WASSCE 1997
Circular Motion, Gravitation & Simple Harmonic Motion
Solution
Two blocks of the same dimension, one steel and the other wooden are dropped simultaneously from the same height. If they fall freely neglecting air resistance the?
A
Two blocks hit the ground simultaneously because they have the same acceleration
B
Two blocks reach the ground at the same time because their dimensions are the same
C
Wooden block being lighter than the steel block reaches the ground first
D
Steel block reaches the ground first because it is denser than the wooden block
E
Steel block takes half as much time as the wooden block to reach the ground because it is more massive than the wooden block
medium Difficulty
Verified Correct Answer: Option A
Physical Principles & Numerical Solution
An object falling without air resistance or friction is defined to be in free-fall.
The acceleration of free-falling objects is therefore called the acceleration due to gravity.
It is because the acceleration due to gravity is constant for all objects regardless of the mass, neglecting air resistance.
Source: WAEC / JAMB / NECO Classroom Archive (Record #26291)
Physics
UTME / JAMB 1997
Reflection, Refraction & Dispersion of Light
Diagram
Solution
In the diagram above, which of the angles \( \theta _1 \) , \( \theta _2 \) , \( \theta _3 \) and \( \theta _4 \) is the angle of deviation of the ray of light passing through the glass prism XYZ?
Attached Figure / Diagram
A
\( \theta _3 \)
B
\( \theta _2 \)
C
\( \theta _1 \)
D
\( \theta _4 \)
medium Difficulty
Verified Correct Answer: Option A
Physical Principles & Numerical Solution
\( \theta _3 \) shows the angle of deviation
Source: WAEC / JAMB / NECO Classroom Archive (Record #41741)
Physics
UTME / JAMB 1997
Waves, Sound & Vibrations
Solution
Ripples on water and light waves are similar because both?
A
have the same frequency
B
can be refracted and diffracted
C
are longitudinal waves
D
have the same velocity
medium Difficulty
Verified Correct Answer: Option B
Physical Principles & Numerical Solution
Examples of transverse waves include:
ripples on the surface of water.
vibrations in a guitar string.
a Mexican wave in a sports stadium.
electromagnetic waves – eg light waves, microwaves, radio waves.
Some basic properties of light :
Reflection of light.
Refraction of light.
Diffraction of light.
All kinds of waves have the same fundamental properties of reflection, refraction, diffraction and interference,
and all waves have a wavelength, frequency, speed and amplitude.
Source: WAEC / JAMB / NECO Classroom Archive (Record #27699)
Chemistry
WAEC / WASSCE 1997
Kinetic Theory of Matter & Gas Laws
Solution
Boyle's law can be expressed mathematically as
A
V \(\alpha\) T (P constant)
B
P \(\alpha\) V (T constant)
C
P \(\alpha\) T
D
V \(\alpha\) 1 / p(T constant)
E
V1/T1 = / T2
medium Difficulty
Verified Correct Answer: Option D
Chemical Principles & Mechanism
The absolute pressure exerted by a given mass of an ideal gas is inversely proportional to the volume it occupies if the temperature and amount of gas remain
Source: WAEC / JAMB / NECO Classroom Archive (Record #36593)
Chemistry
WAEC / WASSCE 1997
Acids, Bases, pH & Salts
Solution
Which of the following is a general method of preparing acids?
A
Direct combination of constituent elements
B
Double decomposition involving a salt solution
C
Reaction between an anhydride and water
D
Reaction between a base and an amphoteric oxide
E
Dissolution of hydroxides followed by neutralization
medium Difficulty
Verified Correct Answer: Option C
Chemical Principles & Mechanism
There are several methods of preparation of acids. These include the following:
1. By the reaction between an acidic oxide of a non-metal (acid anhydride) and water.
SO2(g) + H2O(l) → H2SO3(aq) Trioxosulphate(IV)
P4010(s) + 2H2O(l) → 4HPO3(aq) Trioxophosphate(V)
Source: WAEC / JAMB / NECO Classroom Archive (Record #36546)
Chemistry
UTME / JAMB 1997
Water, Solutions & Solubility
Solution
A major process involved in the softening of hard water is the?
A
conversion of a soluble calcium salt to its trioxoncarbonate (lV)
B
decomposition of calcium trioxocarbonate (lV)
C
conversion of an insoluble calcium salts to its trioxocarbonate (lV)
D
oxidation of calcium atoms to its ions
medium Difficulty
Verified Correct Answer: Option A
Chemical Principles & Mechanism
Now in permanent hardness of water, when washing soda is treated with water, the carbonate ions from sodium carbonate react with calcium and magnesium ions in water and produce an insoluble product.
Therefore, calcium carbonate is precipitated out.
Source: WAEC / JAMB / NECO Classroom Archive (Record #13794)
Mathematics
WAEC / WASSCE 1997
Plane Geometry, Polygons & Circle Theorems
Solution
Express (0.0425 / 2.5) as a fraction
A
17/10,000
B
17/1,000
C
17/250
D
17/100
E
17/10
medium Difficulty
Verified Correct Answer: Option B
Step-by-Step Mathematical Solution
0.0425/2.5 = 425/25000 = 17/1000
Source: Myschool Past Questions Archive (Record #23854)
Mathematics
WAEC / WASSCE 1997
Sets, Logic & Venn Diagrams
Solution
If P = {3, 5, 6} and Q = {4, 5, 6} then P∩Q equals
A
{3, 4}
B
{4, 5}
C
{4, 6}
D
{5, 6}
E
{3, 5}
medium Difficulty
Verified Correct Answer: Option D
Step-by-Step Mathematical Solution
P ∩ Q = {5, 6}
Source: Myschool Past Questions Archive (Record #23855)
Mathematics
WAEC / WASSCE 1997
Sets, Logic & Venn Diagrams
Solution
A and B are two sets. The number of elements in A∪B is 49, the number in A is 22 and number in B is 34. How many elements are in A ∩ E?
A
105
B
27
C
15
D
12
E
7
medium Difficulty
Verified Correct Answer: Option E
Step-by-Step Mathematical Solution
Let x represent the intersection
34 - x + 22 - x + x = 49
  - x = 49 - 56; x = 7
Source: Myschool Past Questions Archive (Record #23856)