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Biology
UTME / JAMB 1991
Digestive System & Feeding Mechanisms
Solution
The gland which produces trypsin, amylase and lipase is labeled?
A
6
B
4
C
2
D
1
medium Difficulty
Verified Correct Answer: Option B
Biological Concept & Syllabus Guide
The pancreas ( the organ labeled 4) contains exocrine glands that produce enzymes important to digestion. These enzymes include trypsin and chymotrypsin to digest proteins; amylase for the digestion of carbohydrates; and lipase to break down fats.
Source: Official Exam / Past Question Archive
Biology
WAEC / WASSCE 1991
Nervous, Hormonal Coordination & Sense Organs
Solution
(a) Make a labelled diagram to show the internal structure of the mammalian ear.
(b) Describe the mechanism of hearing in mammals.
(c) State two ways of caring for the ear.
medium Difficulty
Verified Correct Answer: Option
Biological Concept & Syllabus Guide
(b) The mechanism of hearing in mammals begins with sound waves first reaching the pinna and passing along the auditory meatus to the ear drum. This causes vibration which passes along the ossicles. The ossides amplify the vibrations which are transmitted to the inner ear via the oval window. This sets the endolymph in the inner ear (cochlea) to vibrate. Impulses are then set up by the hair cells of the cochlea and transmitted via the auditory nerve to the brain for interpretation.
(c) Care for the ear:
(i) Clean ear regularly with cotton wool or swab to remove dust and wax. Also avoid puncturing the ear drum by avoiding sharp objects and loud noise.
(ii) Always see the doctor in case there is any ear trouble.
Source: Official Exam / Past Question Archive
Biology
WAEC / WASSCE 1991
Variety of Organisms & Classification of Living Things
Solution
(a)(i) Explain briefly the cell theory.
(ii) Name two scientists who contributed to the development of the cell theory.
(b) Make a large labelled diagram of a typical plant cell.
(c) List three ways in which a typical plant cell differs from a typical animal cell.
(d) State one difference each between Hydra and the mammals with respect to:
(i) level of organisation; (ii) symmetry; (iii) number of body layers.
medium Difficulty
Verified Correct Answer: Option
Biological Concept & Syllabus Guide
(a)(i) Cell theory states that:
(1) the cell is the smallest unit of life.
(2) The cell is the unit of function of life.
(3) New cells are produced from existing cells.
(4) All living things have cells and cell products.
(ii)(1) Robert Hook
(2) M. J. Schleiden
(c) Differences between a plant and animal cell are:
Plant cell
Animal cell
(1) Possesses large vacuole
(2) Possesses chloroplast
(3) Possesses cellulose cell wall
- Has small vacuole
- Has no chloroplast
- Has no cellulose cell wall.
(d) Difference between Hydra and mammal:
(i) Level of organization: Hydra is organised in the tissue level while mammal is organised in the system level
(ii) Symmetry: Hydra is radially symmetrical while mammal possesses bilateral symmetry
(iii) Hydra possesses two body layers, e.g. ectoderm and endoderm while mammal possesses three layers.
Source: Myschool Past Questions Archive (Record #53054)
Biology
WAEC / WASSCE 1991
Growth, Micro-organisms & Public Health
Solution
(a) (i) List three components of an ecosystem (ii) Describe briefly the interaction among the components named in (a) (i).
(b) List three major steps that are usually taken in studying plants and animals in community.
(c) State the importance of each of the following in a population and explain how each affects the growth of a population:
(i) competition; (ii) pathogens; (iii)water.
medium Difficulty
Verified Correct Answer: Option
Biological Concept & Syllabus Guide
(a)(i) Components of an ecosystem are:
(1) Producers.
(2) Consumers
(3) Decomposers.
(ii) The producers or green plants use carbon (iv) oxide, water, chlorophyll and sunlight as a source of energy to produce carbohydrate. The consumers or animals feed on the producers or their products. Consumers release carbon (iv) oxide to the plants to take in. Decomposers or micro-organisms break down dead plants and other organisms to release nutrients which are absorbed by plants
(b) Steps for studying plants and animals in a community:
(i) Mapping out or selection or demarcating of a particular area
(ii) Measurement of ecological factors.
(iii) Collection of specimens.
(c)(i) competition: Inadequate supply of nutrients, light, water and food leads to competition which results in survival of the fittest. This means that those that cannot stand the test of competition die. This eventually leads to reduction in population. Lack of these necessities also leads to migration which reduces population size.
(ii) pathogens: These are disease causing agents or organisms which kill other organisms in a population thereby reducing the population. Attack by pathogen can result in the development of resistant strains which eventually lead to a growth of disease free population.
(iii) Water: All living organisms need water for survival.
(1) Water is needed for metabolism.
(2) Lack of water leads to food scarcity and death, thereby reducing population.
(3) Adequate supply of water leads to increase in food production and supply which eventually leads to increase in population.
(4) Excess water supply may result in flooding which brings about displacement and reduction in population.
Source: Myschool Past Questions Archive (Record #53058)
Biology
WAEC / WASSCE 1991
Excretion & Homeostasis
Solution
(a) (i) List five excretory organs found in living organisms.
(ii) Give one example of an organism in which each type is found.
(b) (i) state two ways in which the excretory organs of earthworm is similar to that of mammals.
(ii) Give three differences between them.
(c) Describe the mechanisms of opening and closing of the stomata.
medium Difficulty
Verified Correct Answer: Option
Biological Concept & Syllabus Guide
(a)(i) Excretory organs found in living organisms: Lung, kidney, skin, liver and nephridia
(ii) Lungs - man, Kidney - man, Skin - man, Liver - man, Nephridia - earth worm, Contractile vacuole - paramecium, Stomata / Lenticel - plants, Flame cells - tape worm, Malpigian tubules - insects.
(b)(1) Two ways in which the excretory organ of earth worm is similar to that of mammals are:
(1) Both possess structure for filtering excretory products.
(2) Each is well supplied with blood.
(ii) Differences between mammals and earth worm:
Mammals
Earth worm
-Not ciliated.
-Has no special tissue for storing waste products.
-Has only one outlet for discharging.
- Ciliated.
- Has special tissues for storing some excretory products.
- Has an outlet per segment hence possesses many outlets.
(c} Mechanism of opening and closing of the stomata: Each stoma is enclosed by guard cells. Guard cell has chloroplast and is also elastic. During photosynthesis, sugar is formed and this increases the concentration of cell. sap. Guard cell receives water by means of osmosis and becomes turgid. This makes the stoma to open. During the night, sugar in the guard cell is converted to starch. This makes the osmotic concentration of guard cell to reduce. Water is lost lay the guard cells through osmosis to the surrounding. This makes the guard cell to be flaccid, hence stoma closes.
Source: Myschool Past Questions Archive (Record #53059)
Mathematics
UTME / JAMB 1990
Indices, Logarithms & Surds
Solution
Correct 241.34(3 x 10-\(^3\))\(^2\) to 4 significant figures
A
0.0014
B
0.001448
C
0.0022
D
0.002172
medium Difficulty
Verified Correct Answer: Option D
Step-by-Step Mathematical Solution
first work out the expression and then correct the answer to 4 s.f = 241.34..............(A)
(3 x 10-\(^3\))\(^2\)............(B)
= 3\(^2\)x\(^2\)
= \(\frac{1}{10^3}\) x \(\frac{1}{10^3}\)
(Note that x\(^2\) = \(\frac{1}{x^3}\))
= 24.34 x 3\(^2\) x \(\frac{1}{10^6}\)
= \(\frac{2172.06}{10^6}\)
= 0.00217206
= 0.002172(4 s.f)
Source: WAEC / JAMB / NECO Classroom Archive (Record #31431)
Mathematics
UTME / JAMB 1990
Indices, Logarithms & Surds
Solution
Simplify \(\sqrt{27}\) + \(\frac{3}{\sqrt{3}}\)
A
4\(\sqrt{3}\)
B
\(\frac{4}{\sqrt{3}}\)
C
3\(\sqrt{3}\)
D
\(\frac{\sqrt{3}}{4}\)
medium Difficulty
Verified Correct Answer: Option A
Step-by-Step Mathematical Solution
\(\sqrt{27}\) + \(\frac{3}{\sqrt{3}}\)
= \(\sqrt{9 \times 3}\) + \(\frac{3 \times {\sqrt{3}}}{{\sqrt{3}} \times {\sqrt{3}}}\)
= 3\(\sqrt{3}\) + \(\sqrt{3}\)
= 4\(\sqrt{3}\)
Source: WAEC / JAMB / NECO Classroom Archive (Record #31437)
Mathematics
UTME / JAMB 1990
Fractions, Decimals, Percentages & Approximations
Solution
Simplify \(\frac{4\frac{3}{4} - 6\frac{1}{4}}{4\frac{1}{5} \text{ of } 1\frac{1}{4}}\)
A
-7\(\frac{7}{8}\)
B
\(\frac{-2}{7}\)
C
\(\frac{-10}{21}\)
D
\(\frac{10}{21}\)
medium Difficulty
Verified Correct Answer: Option B
Step-by-Step Mathematical Solution
\(\frac{4\frac{3}{4} - 6\frac{1}{4}}{4\frac{1}{5} \text{ of } 1\frac{1}{4}}\)
\(\frac{19}{4}\) - \(\frac{25}{4}\)............(A)
\(\frac{21}{5}\) x \(\frac{5}{4}\).............(B)
Now work out the value of A and the value of B and then find the value \(\frac{A}{B}\)
A = \(\frac{19}{4}\) - \(\frac{25}{4}\)
= \(\frac{-6}{4}\)
B = \(\frac{21}{5}\) x \(\frac{5}{4}\)
= \(\frac{105}{20}\)
= \(\frac{21}{4}\)
But then \(\frac{A}{B}\) = \(\frac{-6}{4}\) \(\div\) \(\frac{21}{4}\)
= \(\frac{-6}{4}\) x \(\frac{4}{21}\)
= \(\frac{-24}{84}\)
= \(\frac{-2}{7}\)
Source: WAEC / JAMB / NECO Classroom Archive (Record #31429)
Mathematics
UTME / JAMB 1990
Fractions, Decimals, Percentages & Approximations
Solution
Simplify and express in standard form \(\frac{0.00275 \times 0.0064}{0.025 \times 0.08}\)
A
8.8 x 10-1
B
8.8 x 10-2
C
8.8 x 10-3
D
8.8 x 103
medium Difficulty
Verified Correct Answer: Option C
Step-by-Step Mathematical Solution
\(\frac{0.00275 \times 0.0064}{0.025 \times 0.08}\)
Removing the decimals = \(\frac{275 \times 64}{2500 \times 800}\)
= \(\frac{88}{10^4}\)
\(88 x 10^{-4} = 88 x 10^{1} x 10^{-4} = 8.8 x 10^{-3}\)
Source: WAEC / JAMB / NECO Classroom Archive (Record #31434)
Mathematics
UTME / JAMB 1990
Fractions, Decimals, Percentages & Approximations
Solution
Three brothers in a business deal share the profit at the end of a contact. The first received \(\frac{1}{3}\) of the profit and the second \(\frac{2}{3}\) of the remainder. If the third received the remaining N12000.00 how much profit did they share?
A
N60 000.00
B
N54 000.00
C
N48 000.00
D
N42 000.00
medium Difficulty
Verified Correct Answer: Option B
Step-by-Step Mathematical Solution
use "T" to represent the total profit. The first receives \(\frac{1}{3}\) T
remaining, 1 - \(\frac{1}{3}\)
= \(\frac{2}{3}\)T
The seconds receives the remaining, which is \(\frac{2}{3}\) also
\(\frac{2}{3}\) x \(\frac{2}{3}\) = \(\frac{4}{9}\)
The third receives the left over, which is \(\frac{2}{3}\)T - \(\frac{4}{9}\)T = (\(\frac{6 - 4}{9}\))T
= \(\frac{2}{9}\)T
The third receives \(\frac{2}{9}\)T which is equivalent to N12000
If \(\frac{2}{9}\)T = N12, 000
T = \(\frac{12 000}{\frac{2}{9}}\)
Total share[T] = N54, 000
The first receives \(\frac{1}{3}\) of T → \(\frac{1}{3}\) * N54, 000 = N18,000
The second receives \(\frac{4}{9}\) of T → \(\frac{4}{9}\) * N54, 000 = N24,000
The third receives \(\frac{2}{9}\)T which is equivalent to N12000.
Adding the three shares give total profit of N54,000
Source: WAEC / JAMB / NECO Classroom Archive (Record #31435)
Mathematics
UTME / JAMB 1990
Fractions, Decimals, Percentages & Approximations
Solution
Three children shared a basket of mangoes in such a way that the first child took \(\frac{1}{4}\) of the mangoes and the second \(\frac{3}{4}\) of the remainder. What fraction of the mangoes did the third child take?
A
\(\frac{3}{16}\)
B
\(\frac{7}{16}\)
C
\(\frac{9}{16}\)
D
\(\frac{13}{16}\)
medium Difficulty
Verified Correct Answer: Option A
Step-by-Step Mathematical Solution
You can use any whole numbers (eg. 1. 2. 3) to represent all the mangoes in the basket.
If the first child takes \(\frac{1}{4}\) it will remain 1 - \(\frac{1}{4}\) = \(\frac{3}{4}\)
Next, the second child takes \(\frac{3}{4}\) of the remainder
which is \(\frac{3}{4}\) i.e. find \(\frac{3}{4}\) of \(\frac{3}{4}\)
= \(\frac{3}{4}\) x \(\frac{3}{4}\)
= \(\frac{9}{16}\)
the fraction remaining now = \(\frac{3}{4}\) - \(\frac{9}{16}\)
= \(\frac{12 - 9}{16}\)
= \(\frac{3}{16}\)
Source: WAEC / JAMB / NECO Classroom Archive (Record #31433)
Mathematics
UTME / JAMB 1990
Fractions, Decimals, Percentages & Approximations
Solution
At what rate would a sum of N100.00 deposited for 5 years raise an interest of N7.50?
A
\(\frac{1}{2}\)%
B
2\(\frac{1}{2}\)%
C
1.5%
D
25%
medium Difficulty
Verified Correct Answer: Option C
Step-by-Step Mathematical Solution
Interest I = \(\frac{PRT}{100}\)
∴ R = \(\frac{100 \times 1}{100 \times 5}\)
= \(\frac{100 \times 7.50}{500 \times 5}\)
= \(\frac{750}{500}\)
= \(\frac{3}{2}\)
= 1.5%
Source: WAEC / JAMB / NECO Classroom Archive (Record #31432)
Mathematics
UTME / JAMB 1990
Mensuration (Areas, Perimeters & Volumes)
Solution
Find the length of a side of a rhombus whose diagonals are 6cm and 8cm
A
8cm
B
5cm
C
4cm
D
3cm
medium Difficulty
Verified Correct Answer: Option B
Step-by-Step Mathematical Solution
The diagonal of a rhombus is a line segment that joins any two non-adjacent vertices.
A rhombus has two diagonals that bisect each other at right angles.
i.e this splits 6cm into 3cm each AND 8cm to 4cm
Using Hyp\(^2\) = adj\(^2\) + opp\(^2\)
Hyp\(^2\) = 3\(^2\) + 4\(^2\)
Hyp\(^2\) = 25
Hyp = 5
∴ Length (L) is 5cm because a rhombus is a quadrilateral with 4 equal lengths
Source: WAEC / JAMB / NECO Classroom Archive (Record #31476)
Mathematics
UTME / JAMB 1990
Mensuration (Areas, Perimeters & Volumes)
Solution
The angle of a sector of s circle, radius 10.5cm, is 48°, Calculate the perimeter of the sector
A
8.8cm
B
25.4cm
C
25.6cm
D
29.8cm
medium Difficulty
Verified Correct Answer: Option D
Step-by-Step Mathematical Solution
Length of Arc AB = \(\frac{\theta}{360}\) 2\(\pi\)r
= \(\frac{48}{360}\) x 2\(\frac{22}{7}\) x \(\frac{21}{2}\)
= \(\frac{4 \times 22 \times \times 3}{30}\) \(\frac{88}{10}\) = 8.8cm
Perimeter = 8.8 + 2r
= 8.8 + 2(10.5)
= 8.8 + 21
= 29.8cm
Source: WAEC / JAMB / NECO Classroom Archive (Record #31475)
Mathematics
UTME / JAMB 1990
Mensuration (Areas, Perimeters & Volumes)
Solution
A cylinder pipe, made of metal is 3cm thick.If the internal radius of the pope is 10cm.Find the volume of metal used in making 3m of the pipe.
A
153\(\pi\)cm3
B
207\(\pi\)cm3
C
15 300\(\pi\)cm3
D
20 700\(\pi\)cm3
medium Difficulty
Verified Correct Answer: Option D
Step-by-Step Mathematical Solution
Volume of a cylinder = \pir\(^2\)h
First convert 3m to cm by multiplying by 100
Volume of External cylinder = \pi \times 13\(^2\) \times 300
Volume of Internal cylinder = \pi \times 10\(^2\) \times 300
Hence; Volume of External cylinder - Volume of Internal cylinder
Total volume (v) = \pi (169 - 100) \times 300
V = \pi \times 69 \times 300
V = 20700\picm\(^3\)
Source: WAEC / JAMB / NECO Classroom Archive (Record #31479)