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Biology
WAEC / WASSCE 1997
Population Ecology, Habitats & Conservation
Solution
(a) Define the term " Conservation".
(b) State three reasons for conservation.
(c) List four methods of conserving each of the following: (i) water (ii) wildlife (iii) forest.
(d) Mention three forest or game reserves in Nigeria.
medium Difficulty
Verified Correct Answer: Option
Biological Concept & Syllabus Guide
(a) Conservation- can be referred to as the intelligent use or selection of what can be changed or replaced in the community without harmfully disturbing the balance in nature. In other words, it is the preservation of natural I resources from loss or waste, harm and exploitation through wise, rational or sensible use to ensure their availability and to preserve the quality or original nature of the natural resources.
(b) Reasons for conservation are:
(i) To prevent destruction of natural ecosystems
(ii) For medicinal purposes .
(iii) To preserve naturally beautiful scenarios for their aesthetic values.
(iv) For research purposes
(v) To promote the recycling of some scarce mineral resources/ water
(vi) To prevent destruction of natural environment
(vii) To allow for continued use of natural resources for man's benefit
(viii) Preservation of rare and valuable species of plant and animals for future generation or to save them from extinction.
(c) (i) Methods of conserving water are:
(1) Trapping or storage in tanks or wells
(2) Treatment and recycling of used water
(3) Damming of rivers to allow more effective management of water
(4) Planting of trees to provide vegetation cover which reduces evaporation and promotes water retention in soil /rainfall.
(5) Saving of water by prompt repairs of burst pipes and turning off taps immediately after use.
(ii) Methods of conserving wild life are:
(1) Establishment of zoological gardens
(2) Establishment of game /forest reserves
(3) Hunting should be controlled
(4) Prohibiting bush burning
(5) Prohibiting killing or poaching of animals in game reserves
(6) Educating the public on the values of wildlife
(7) Discouraging deforestation and encouraging afforestation.
(iii) Methods of conserving Forest are:
(1) Ensure cutting of trees without destroying undergrowth.
(2) Reafforestation or tree planting should be encouraged.
(3) Discourage bush burning.
(4) Pests /diseases of plants should be controlled.
(5) Establishment of forest reserve
(6) Educating the public on the value of forest and importance of conservation and cutting of matured trees only.
(d) Some forest or game reserves in Nigeria include:
(1) Yankari game reserve in Bauchi State
(2) Borgu game reserve in Niger State
(3) Omo forest reserve in Ogun State
(4) Sakpoba forest reserve in Edo State
(5) Mamu River in Anambra State
(6) Anara in Kaduna State
(7) Zamfara in Zamfara State
(8) Sanga River Plateau State
(9) Olomu forest reserve - Kwara State
(10) ljero forest reserve in Ekiti.
Source: Myschool Past Questions Archive (Record #52978)
Mathematics
WAEC / WASSCE 1996
Plane Geometry, Polygons & Circle Theorems
Solution
If the hypotenuse of a right-angle isosceles triangle is 2, what is the length of each of the other side?
A
1/√2
B
√2 - 1
C
1
D
√2
E
√3
medium Difficulty
Verified Correct Answer: Option D
Step-by-Step Mathematical Solution
An Isosceles Right Triangle is a right triangle that consists of two equal length legs.
i.e opp = adj
hyp\(^2\) = adj\(^2\) + opp\(^2\)
2\(^2\) = x\(^2\) + x\(^2\)
4 = 2x\(^2\)
2 = x\(^2\)
\sqrt2 = x
Source: WAEC / JAMB / NECO Classroom Archive (Record #23810)
Mathematics
WAEC / WASSCE 1996
Plane Geometry, Polygons & Circle Theorems
Diagram
Solution
In the diagram, ∠PMN = ∠PRQ and ∠PNM = ∠PQR. If /Pm/ = 3cm, /MQ/ = 7cm and /PN/ = 5cm, find /NR/
Attached Figure / Diagram
A
1cm
B
3cm
C
31/2
D
5cm
E
6cm
medium Difficulty
Verified Correct Answer: Option A
Step-by-Step Mathematical Solution
△PQR is similar to △PNM
\(\frac{PQ}{PN}\) = \(\frac{PR}{PM}\)
\(\frac{7 + 3 }{5}\) \(\frac{5 + NR}{3}\)
cross multiply
10 x 3 = (5 x 5) + 5 x NR
5NR = 30 - 25 = 5
NR = \(\frac{5}{5}\) = 1 cm.
Source: WAEC / JAMB / NECO Classroom Archive (Record #23822)
Mathematics
WAEC / WASSCE 1996
Mensuration (Areas, Perimeters & Volumes)
Diagram
Solution
In the diagram above, O is the center of the circle of radius 3.5cm, ∠POQ = 60°. What is the area of the minor sector POQ?
[Take π = 22/7].
Attached Figure / Diagram
A
1481/2cm2
B
77cm2
C
321/12cm2
D
65/12cm2
E
15/6cm2
medium Difficulty
Verified Correct Answer: Option D
Step-by-Step Mathematical Solution
Area of sector = \(\frac{\theta}{360^\circ} \times \pi r^2\)
= \(\frac{60}{360} \times \frac{22}{7} \times 3.5 \times 3.5\)
= \(\frac{77}{12}\)
= \(6\frac{5}{12}\) cm\(^2\)
Source: WAEC / JAMB / NECO Classroom Archive (Record #23809)
Physics
WAEC / WASSCE 1996
Circular Motion, Gravitation & Simple Harmonic Motion
Solution
Two simple pendula x and y make 400 and 500 oscillations respectively in equal time. If the period of oscillation of x is 1.5 seconds, what is the period of oscillation of y?
A
0.53s
B
0.83s
C
1.20s
D
1.50s
E
1.88s.
medium Difficulty
Verified Correct Answer: Option C
Physical Principles & Numerical Solution
where f = \(\frac{oscillations}{time}\)
period = 1/ f or \(\frac{time}{oscillations}\)
For pendulum x:
where period = 1.5 and oscillation = 400
time = oscillations X 1.5 = 600s
For pendulum y:
\(\frac{time}{oscillations}\) → 600/500
period for y = 1.2s
period =
Source: WAEC / JAMB / NECO Classroom Archive (Record #25209)
Physics
WAEC / WASSCE 1996
Magnetism, Electromagnetism & AC Circuits
Solution
Calculate the amount of heat generated in an external load of resistance 8Ω if an alternating current of peak value 5A is passed through for 100s.
A
20,000J
B
10,000J
C
5,000J
D
4,000J
E
200J
medium Difficulty
Verified Correct Answer: Option B
Physical Principles & Numerical Solution
E = I\(_{rms}\)\(^2\)Rt
I\(_{rms}\) = \(\frac{I_o}{\sqrt{2}}\) = \(\frac{5}{\sqrt{2}}\) = 3.5355
E = 12.5 x 8 x 100 = 10,000J
Source: WAEC / JAMB / NECO Classroom Archive (Record #25249)
Mathematics
WAEC / WASSCE 1996
Sequences & Series (AP & GP)
Solution
The 6th term of a G.P is \(\frac{-2}{27}\) and its first term is 18. What is the common ratio?
A
-1/2
B
-1/3
C
1/4
D
2
E
3
medium Difficulty
Verified Correct Answer: Option B
Step-by-Step Mathematical Solution
a, ar, ar\(^2\), ar\(^3\), ar\(^4\), ar\(^5\)
6th term = ar\(^5\) = \(\frac{-2}{27}\)
1st term = a = 18
=> ar\(^5\)
= 18r\(^5\) =\(\frac{-2}{27}\)
r\(^5\) = \(\frac{-2}{27 * 18}\)
→ \(\frac{-1}{27 * 9}\)
r\(^5\) = \(\frac{-1}{243}\)
r = \(^5\)\sqrt[\(\frac{-1}{243}\)]
r = \(\frac{-1}{3}\)
Source: Myschool Past Questions Archive (Record #23791)
Mathematics
WAEC / WASSCE 1996
Number Bases & Modular Arithmetic
Solution
Convert the decimal number 89 to a binary number
A
101101
B
111001
C
1001001
D
1001101
E
1011001
medium Difficulty
Verified Correct Answer: Option E
Step-by-Step Mathematical Solution
2
89
2
44 r 1
2
22 r 0
2
11 r 0
2
5 r 1
2
2 r 1
2
1 r 0
0 r 1
89\(_{10}\) = 101100\(1_2\)
Source: Myschool Past Questions Archive (Record #23792)
Mathematics
WAEC / WASSCE 1996
Plane Geometry, Polygons & Circle Theorems
Solution
Simplify: \((2\frac{1}{6} - 1\frac{2}{3}) \div 2\frac{2}{3}\).
A
3/16
B
7/16
C
1 13/24
D
2 11/24
E
10 2/5
medium Difficulty
Verified Correct Answer: Option A
Step-by-Step Mathematical Solution
\((2\frac{1}{6} - 1\frac{2}{3}) \div 2\frac{2}{3}\)
= \((\frac{13}{6} - \frac{5}{3}) \div \frac{8}{3}\)
= \(\frac{3}{6} \times \frac{3}{8}\)
= \(\frac{3}{16}\)
Source: Myschool Past Questions Archive (Record #23793)
Mathematics
WAEC / WASSCE 1996
Plane Geometry, Polygons & Circle Theorems
Solution
Simplify 56x\(^{-4}\) \(\div\) 14x\(^{-8}\)
A
2x-12
B
3x-3
C
4x-4
D
4x-3
E
4x4
medium Difficulty
Verified Correct Answer: Option E
Step-by-Step Mathematical Solution
\(56x^{-4} \div 14x^{-8}\)
= \(4x^{- 4 - (-8)}\)
= \(4x^{4}\)
Source: Myschool Past Questions Archive (Record #23794)
Mathematics
WAEC / WASSCE 1996
Indices, Logarithms & Surds
Solution
Simplify Log\(_{10}\)4 + Log\(_{10}\)25
A
1
B
2
C
3
D
4
E
5
medium Difficulty
Verified Correct Answer: Option B
Step-by-Step Mathematical Solution
Log\(_{10}\)4 + Log\(_{10}\)25 = Log\(_{10}\)(4 + 25)
= Log\(_{10}\)100 = Log\(_{10}\)10\(^2\)
= 2Log\(_{10}\)10 = 2 x 1 = 2
Source: Myschool Past Questions Archive (Record #23795)
Mathematics
WAEC / WASSCE 1996
Fractions, Decimals, Percentages & Approximations
Solution
A boy measured the length and breath of a rectangular lawn as 59.6m and 40.3m respectively instead of 60m and 40m. What is the percentage error in his calculation of the perimeter of the lawn?
A
10%
B
1.4%
C
7%
D
0.2%
E
0.1%
medium Difficulty
Verified Correct Answer: Option E
Step-by-Step Mathematical Solution
Length = 59.6m
Breath = 40.3m
Perimeter = (59.6m + 40.3m) x 2
= 99.9 x 2 = 199.8m
Actual measurement
Perimeter = (60 + 40) x 2 = 100 x 2 = 200m
Error = 200m - 199.8m = 0.2
Error =0.2/200 x 100/1
= 0.1%
Source: Myschool Past Questions Archive (Record #23796)
Mathematics
WAEC / WASSCE 1996
Sequences & Series (AP & GP)
Solution
Find the 9th term of the arithmetic progression 18, 12, 6, 0, -6 .........
A
-54
B
-30
C
30
D
42
E
66
medium Difficulty
Verified Correct Answer: Option B
Step-by-Step Mathematical Solution
18, 12, 6, 0, -6, 12, -18, 24, -30
9th term = -30
Source: Myschool Past Questions Archive (Record #23797)
Mathematics
WAEC / WASSCE 1996
Linear, Simultaneous & Quadratic Equations
Solution
Expand (2x - 5)(x - 3)
A
x2 - 1x -15
B
2x2 - 11x + 15
C
22 - 5x - 8
D
x2 - 5x - 15
E
2x2 - 6x + 15
medium Difficulty
Verified Correct Answer: Option B
Step-by-Step Mathematical Solution
(2x - 5)(x - 3)
2x\(^2\) - 5x - 6x + 15
2x\(^2\) - 11x + 15
Source: Myschool Past Questions Archive (Record #23798)
Mathematics
WAEC / WASSCE 1996
Plane Geometry, Polygons & Circle Theorems
Solution
Simplify: \(\frac{5}{x - y} - \frac{4}{y - x}\)
A
9/x - y
B
9/y - x
C
1/x - y
D
1/y - x
E
y - 9x/x - y
medium Difficulty
Verified Correct Answer: Option A
Step-by-Step Mathematical Solution
\(\frac{5}{x - y} - \frac{4}{y - x}\)
= \(\frac{5(y - x) - 4(x - y)}{(x - y)(y - x)}\)
= \(\frac{5y - 5x - 4x + 4y}{(x - y)(y - x)}\)
= \(\frac{9y - 9x}{(x - y)(y - x)}\)
= \(\frac{9(y - x)}{(x - y)(y - x)}\)
= \(\frac{9}{x - y}\)
Source: Myschool Past Questions Archive (Record #23799)