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Biology
UTME / JAMB 1989
Supporting Tissues & Skeletal System
Diagram
Solution
Which of the labeled bone is the ulna?
Attached Figure / Diagram
A
1
B
3
C
4
D
5
medium Difficulty
Verified Correct Answer: Option B
Biological Concept & Syllabus Guide
In the diagram, the ulna is the bone labeled as (3).
Source: Myschool Past Questions Archive (Record #15557)
Biology
UTME / JAMB 1989
Supporting Tissues & Skeletal System
Diagram
Solution
What is the name of the structure labelled 2?
Attached Figure / Diagram
A
Odontoid process
B
Olecranon process
C
Patella
D
Condyle
medium Difficulty
Verified Correct Answer: Option B
Biological Concept & Syllabus Guide
the part labeled 2 is the Olecranon process.
Source: Myschool Past Questions Archive (Record #15558)
Biology
UTME / JAMB 1989
Variety of Organisms & Classification of Living Things
Diagram
In which of the habitats will plants show xeromorphic features most prominently?
Attached Figure / Diagram
A
X
B
R
C
P
D
Q
medium Difficulty
Verified Correct Answer: Option A
Biological Concept & Syllabus Guide
No expanded working has been attached for this question yet. The verified answer is Option A.
Source: Myschool Past Questions Archive (Record #15559)
Biology
UTME / JAMB 1989
Basic Ecological Concepts, Ecosystems & Biomes
Diagram
Solution
Which ecological factor exerts the greatest influence on the structure of the profiles?
Attached Figure / Diagram
A
Topographic
B
Edaphic
C
Biotic
D
Climatic
medium Difficulty
Verified Correct Answer: Option D
Biological Concept & Syllabus Guide
Climate i.e. option D is correct, by climate(climatic factors) such as rainfall and temperature as we move from forest biome to grassland.
Source: Myschool Past Questions Archive (Record #15560)
Biology
UTME / JAMB 1989
Basic Ecological Concepts, Ecosystems & Biomes
Solution
Which ecological factor exerts the greatest influence on the structure of the profiles?
A
Topographic
B
Edaphic
C
Biotic
D
Climatic
medium Difficulty
Verified Correct Answer: Option D
Biological Concept & Syllabus Guide
Climate i.e. option D is correct, by climate(climatic factors) such as rainfall and temperature as we move from forest biome to grassland.
Source: Official Exam / Past Question Archive
Mathematics
UTME / JAMB 1988
Inequalities & Linear Programming
Solution
Tope bought X oranges at N5.00 each and some mangoes at N4.00 each. if she bought twice as many mangoes as oranges and spent at least N65.00 and at most N130.00, find the range of values of X.
A
4≤X≤5
B
5≤X≤8
C
5≤X≤10
D
8≤X≤10
medium Difficulty
Verified Correct Answer: Option C
Step-by-Step Mathematical Solution
Number of oranges = X; Costing N5X.
Number of mangoes = 2X; Costing N8X.
\(\therefore 65 \leq 5X + 8X \leq 130\)
\(5 \leq X \leq 10\)
Source: Myschool Past Questions Archive (Record #21)
Chemistry
UTME / JAMB 1988
Kinetic Theory of Matter & Gas Laws
Solution
Which of the following statements is NOT correct?
A
The average kinetic energy of a gas is directly proportional to its temperature
B
At constant temperature, the volume of a gas increases as the pressure increases
C
The pressure of a gas is directly proportional to the density.
D
The temperature of a gas is directly proportional to its volume
medium Difficulty
Verified Correct Answer: Option B
Chemical Principles & Mechanism
Boyle's law is a gas law, stating that the pressure and volume of a gas have an inverse relationship. If volume increases, then pressure decreases.
Option A,C and D are correct except option B which is incorrect.
Source: Myschool Past Questions Archive (Record #2)
Mathematics
UTME / JAMB 1988
Trigonometry, Elevation & Bearings
Solution
If \(\cos^2 \theta + \frac{1}{8} = \sin^2 \theta\), find \(\tan \theta\).
A
3
B
\(\frac{3\sqrt{7}}{7}\)
C
3\(\sqrt{7}\)
D
\(\sqrt{7}\)
medium Difficulty
Verified Correct Answer: Option B
Step-by-Step Mathematical Solution
\(\cos^2 \theta + \frac{1}{8} = \sin^2 \theta\)..........(i)
from trigometric ratios for an acute angle, where \(cos^{2} \theta + \sin^2 \theta = 1\) ........(ii)
Substitute for equation (i) in (i) = \(\cos^2 \theta + \frac{1}{8} = 1 - \cos^2 \theta \)
= \(\cos^2 \theta + \cos^2 \theta = 1 - \frac{1}{8}\)
\(2\cos^2 \theta = \frac{7}{8}\)
\(\cos^2 \theta = \frac{7}{2 \times 8}\)
\(\frac{7}{16} = \cos \theta\)
\(\sqrt{\frac{7}{16}}\) = \(\frac{\sqrt{7}}{4}\)
but cos \(\theta\) = \(\frac{\text{adj}}{\text{hyp}}\)
\(opp^2 = hyp^2 - adj^2\)
\(opp^2 = 4^2 - (\sqrt{7})^{2}\)
= 16 - 7
opp = \(\sqrt{9}\) = 3
\(\tan \theta = \frac{\text{opp}}{\text{adj}}\)
= \(\frac{3}{\sqrt{7}}\)
\(\frac{3}{\sqrt{7}}\) x \(\frac{\sqrt{7}}{\sqrt{7}}\) = \(\frac{3\sqrt{7}}{7}\)
Source: WAEC / JAMB / NECO Classroom Archive (Record #31745)
Mathematics
UTME / JAMB 1988
Fractions, Decimals, Percentages & Approximations
Solution
The thickness of an 800 pages of book is 18mm. Calculate the thickness of one leaf of the book giving your answer in meters and in standard form
A
2.25 x 10-4m
B
50 x 10-4m
C
2.25 x 10-5m
D
4.50 x 10-5m
medium Difficulty
Verified Correct Answer: Option D
Step-by-Step Mathematical Solution
Thickness of an 800 pages book = 18mm to meter
18 x 103m = 1.8 x 10-2m
One leaf = \(\frac{1.8 \times 10^{-2}}{800}\)
= \(\frac{1.8 \times 10^{-2}}{8 \times 10^{2}}\)
= \(\frac{-1.8}{8}\) x 10-4
= 0.225 x 10-4
= 2.25 x 10-5m
one leaf contains 2 pages
: 2 * 2.25 x 10\(^{-5}\)m
= 4.5 * 10\(^{-5}\)m
Source: WAEC / JAMB / NECO Classroom Archive (Record #31708)
Mathematics
UTME / JAMB 1988
Fractions, Decimals, Percentages & Approximations
Solution
Simplify \(\frac{4a^2 - 49b^2}{2a^2 - 5ab - 7b^2}\)
A
\(\frac{a - b}{2a + b}\)
B
\(\frac{2a + 7b}{a - b}\)
C
\(\frac{2a - 7b}{a + b}\)
D
\(\frac{2a + 7b}{a + b}\)
medium Difficulty
Verified Correct Answer: Option D
Step-by-Step Mathematical Solution
\(\frac{4a^2 - 49b^2}{2a^2 - 5ab - 7b^2}\) = \(\frac{(2a)^2 - (7b)^2}{(a + b)(2a - 7b)}\)
= \(\frac{(2a + 7b)(2a - 7b)}{(a + b)(2a - 7b)}\)
= \(\frac{2a + 7b}{a + b}\)
Source: WAEC / JAMB / NECO Classroom Archive (Record #31733)
Physics
UTME / JAMB 1988
Circular Motion, Gravitation & Simple Harmonic Motion
Solution
A particle starts from rest and moves with a constant acceleration of 0.5ms\(^{-2}\). The distance covered by the particle in 10s is?
A
2.5m
B
5.0m
C
25.0m
D
50.0m
medium Difficulty
Verified Correct Answer: Option C
Physical Principles & Numerical Solution
X = ut + \(\frac{1}{2}\)at
= (0 x 10) + (\(\frac{1}{2}\) x 0.5 x 10 x 10)
= 25m
Source: WAEC / JAMB / NECO Classroom Archive (Record #28369)
Physics
UTME / JAMB 1988
Equilibrium of Forces, Moments & Flotation
Diagram
Solution
the fig above shows three different ways of hanging a heavy picture from a hook. the tension in the string will be?
Attached Figure / Diagram
A
Greatest in X
B
Greatest in Y
C
Greatest in Z
D
Same in each one
medium Difficulty
Verified Correct Answer: Option B
Physical Principles & Numerical Solution
Gravity is always directed in a vertical fashion at X (i.e. 90 degrees which is where tension will be minimum).
The more horizontally aligned the cable is, the more it will pull horizontally. This increased horizontal pull will increase the tension in the cable.
Source: WAEC / JAMB / NECO Classroom Archive (Record #41668)
Chemistry
UTME / JAMB 1988
Particulate Nature of Matter, Laws & Formulae
Solution
2.25g of a sample of an oxide of copper on reduction gave 2.0g of copper. 2.50g of another oxide of copper on reduction also gave 2.0g of copper. These results are in accordance with the law of?
A
constant composition
B
conservation of matter
C
multiple proportions
D
definite proportions
medium Difficulty
Verified Correct Answer: Option C
Chemical Principles & Mechanism
law of multiple proportions, statement that when two elements combine with each other to form more than one compound, the weights of one element that combine with a fixed weight of the other are in a ratio of small whole numbers.
Source: WAEC / JAMB / NECO Classroom Archive (Record #14226)
Chemistry
UTME / JAMB 1988
Organic Chemistry II: Functional Groups, Polymers & Biomolecules
Solution
Alkanoates are formed by the reaction of alkanoic acid with?
A
Alkyl halides
B
alkanols
C
ethers
D
sodium
medium Difficulty
Verified Correct Answer: Option B
Chemical Principles & Mechanism
Alkanoate: Any salt or ester formed from the reaction of an alkanoic acid and alkanol.
Source: WAEC / JAMB / NECO Classroom Archive (Record #14219)
Mathematics
UTME / JAMB 1988
Indices, Logarithms & Surds
Solution
If \(1P03{_4} = 115_{10}\) find P
A
o
B
1
C
2
D
3
medium Difficulty
Verified Correct Answer: Option D
Step-by-Step Mathematical Solution
\(1 x 4^3 + P x 4^2 + 0 x 4 + 3 = 115_{10}\)
16p + 67 = 115 p = \(\frac{48}{16}\)
= 3
Source: Myschool Past Questions Archive (Record #30761)