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Biology
WAEC / WASSCE 2021
Science of Living Things
Solution
Beakers D, E, F and G contain seeds that have been sown for seven days. Carefully remove one seed/seedling from each of the beakers labelled D, E, F and place each on the corresponding white tile labelled D, E, F and G. Study them and answer questions 2(a) to 2(c). (a) Observe the soils and seed/seedling then record the observation and result on the table below.
(b)(i) Name one condition for germination that was likely absent in the beakers labelled E, F and G
E: _________ F: _________ G: _________
(ii) Give two reasons for the result in beaker D.
(c) Make a drawing 8cm to 10cm long of one sees/seedling obtained from the beaker labelled D and label fully.
medium Difficulty
Verified Correct Answer: Option
Biological Concept & Syllabus Guide
(a)
(b)(i) E: Viable seed F: Oxygen/viable seed G: Moisture/water
(ii) All the conditions of water, oxygen/air, warmth/suitable temperature, viable seed necessary for germination were present; - it is the control experiment.
(c)
Source: Myschool Past Questions Archive (Record #62468)
Biology
WAEC / WASSCE 2021
Science of Living Things
Solution
Study specimens L and M and answer questions 4(a) to 4(e). (a) Classify each of specimens L and M into its: (i) Phylum L: ________ M: _______(ii) Class L:_______ M:_______ (b)(i) State three observable features of members of the class of specimen L. (ii) Name three other classes of the phylum to which specimen L belongs. (c)(i) State two ways each by which specimens L and M are of economic importance. L: _______ M: ________ (ii) State five ways by which specimen L can be controlled. (d)(i) State five observable differences between specimens L and M.
(ii) State four observable similarities between specimens L and M. (e) Name one habitat each of specimens L and M. L:_______ M:_______
medium Difficulty
Verified Correct Answer: Option
Biological Concept & Syllabus Guide
(a) Classification: (i) Phylum L: Arthropoda M: Arthropoda (ii) Class: L:insecta: M: insecta, (b)i) Observable Features of Members of the Class of Specimen L:-Three body divisions: head, thorax, abdomen;-Three pairs of jointed walking legs;-Presence of wings;-A pair of jointed antennae -Spiracles present;- A pair of compound eyes; -Exoskeleton of chitin/chitinous exoskeleton. (ii) Other classes of phylum of specimen L:-Crustacea-Chilopoda-Diplopoda-Arachnida. (c) Economic Importance of Specimen: (i) L: -Vector/transmits diseases; -Buzzing noise disturbs(sleep)-Causes discomfort through its bites. M: -Has aesthetic value/used as ornament, Pollinates flowers: -Destroys(citrus) fruits by feeding on them; (ii) Ways by which Specimen L/Mosquito can be Controlled -Sleeping under nets ( to prevent adult mosquito bites); Clearing the bushes around the house ( to eliminate places where mosquitoes hide and breed); -Removing all stagnant water bodies around the house ( to prevent mosquitoes from breeding); -Using/spraying insecticides in the rooms/around the house (to kill adult mosquitos) -Pouring oil on stagnant water bodies (to suffocate the larvae),-Introducing fish/bacteria, e.g. Bacillus species into water bodies (to eat up mosquito larvae and pupae); -Using mosquito repellents(to prevent adult mosquitos from biting); -Using light to attract and kill adult mosquitoes/use of mosquito trap: -Using genetically modified mosquitoes to result in early death of larvae/eggs that do not hatch.
(d)(i) Observable differences between specimens L and M
(ii)Similarities between specimens L and M: Both have -three body divisions/head, thorax and abdomen-proboscis; -wings: Six legs/three pairs of legs:- one pair of compound eyes; - one pair of antennae - Exoskeleton of chitin chitinous exoskeleton; - Segmented abdomens - three thoracic segments.
(c) Habitat of specimens L and M: L: Houses/land/swamp/marshy areas/ dark places/tall grasses/ pond(s) M: Garden/on trees/leaves/flowers/rock surfaces/bare ground/grassland
Source: Myschool Past Questions Archive (Record #62524)
Mathematics
WAEC / WASSCE 2020
Geometry and Trigonometry
Diagram
Solution
In the diagram, \(\overline{MN}\)//\(\overline{PQ}\), < MNP = 2x, and < NPQ = (3x - 50)°. Find the value of < NPQ
Attached Figure / Diagram
A
200\(^o\)
B
100\(^o\)
C
120\(^o\)
D
90\(^o\)
medium Difficulty
Verified Correct Answer: Option B
Step-by-Step Mathematical Solution
2x = 3x - 50 alternate angle
50\(^o\) = 3x - 2x
50\(^o\) = x
< NPQ = (3x - 50)\(^o\)
= 3(50)\(^o\) - 50
= 150 - 50 = 100\(^o\)
Source: WAEC / JAMB / NECO Classroom Archive (Record #58325)
Mathematics
WAEC / WASSCE 2020
Geometry and Trigonometry
Diagram
Solution
In the diagram, PQR is a circle with center O. If ∠OPQ = 48°, find the value of M.
Attached Figure / Diagram
A
96\(^o\)
B
90\(^o\)
C
68\(^o\)
D
42\(^o\)
medium Difficulty
Verified Correct Answer: Option A
Step-by-Step Mathematical Solution
< O\(Q\)P = 48\(^o\) (base angles of isoceles \(\triangle\))
m = 48\(^o\) + 48\(^o\) = 96\(^o\) (exterior angle of a \(\triangle\))
Source: WAEC / JAMB / NECO Classroom Archive (Record #58333)
Mathematics
WAEC / WASSCE 2020
Geometry and Trigonometry
Diagram
Solution
In the diagram, PQ is a straight line. If m = \(\frac{1}{2}\) (x + y + z), find value of m.
Attached Figure / Diagram
A
45\(^o\)
B
60\(^o\)
C
90\(^o\)
D
100\(^o\)
medium Difficulty
Verified Correct Answer: Option B
Step-by-Step Mathematical Solution
x + y + m + z = 180º
but m = \(\frac{1}{2}\)(x + y + z)
2m = ( x + y + z )
Thus ( x + y + z) + m = 180º
(2m) + m = 180º
3m = 180º
m = \(\frac{180º}{3}\) = 60º
Source: WAEC / JAMB / NECO Classroom Archive (Record #58361)
Mathematics
WAEC / WASSCE 2020
Geometry and Trigonometry
Diagram
Solution
In the diagram, O is the center of the circle. \(\overline{PQ}\) and \(\overline{RS}\) are tangents to the circle. Find the value of (M + N).
Attached Figure / Diagram
A
120\(^o\)
B
90\(^o\)
C
75\(^o\)
D
60\(^o\)
medium Difficulty
Verified Correct Answer: Option B
Step-by-Step Mathematical Solution
m + n + 90\(^o\) + 180\(^o\) (sum of angle in a \(\triangle\))
m + n = 180\(^o\) - 90\(^o\)
m + n =90\(^o\)
Source: WAEC / JAMB / NECO Classroom Archive (Record #58373)
Mathematics
WAEC / WASSCE 2020
Fractions, Decimals, Percentages & Approximation
Solution
Evaluate and correct to two decimal places, 75.0785 - 34.624 + 9.83
A
30.60
B
50.29
C
50.28
D
30.63
medium Difficulty
Verified Correct Answer: Option C
Step-by-Step Mathematical Solution
75.0785
-35.624
--------------
40.4545
+9.83
-------------
50.28 to 2d.p
Source: WAEC / JAMB / NECO Classroom Archive (Record #58214)
Mathematics
WAEC / WASSCE 2020
Fractions, Decimals, Percentages & Approximation
Solution
Solve \(\frac{1}{3}\)(5 - 3x) < \(\frac{2}{5}\)(3 - 7x)
A
x > \(\frac{7}{22}\)
B
x < \(\frac{7}{22}\)
C
x > \(\frac{-7}{27}\)
D
x < \(\frac{-7}{27}\)
medium Difficulty
Verified Correct Answer: Option D
Step-by-Step Mathematical Solution
\(\frac{1}{3}\)(5 - 3x) < \(\frac{2}{5}\)(3 - 7x)
5(5 - 3x) < 6(3 - 7x)
25 - 15x < 18 - 42x
- 15x + 42x < 18 - 25
\(\frac{27x}{27}\) < \(\frac{-7}{27}\)
x < \(\frac{-7}{27}\)
Source: WAEC / JAMB / NECO Classroom Archive (Record #58296)
Mathematics
WAEC / WASSCE 2020
Graphs of Linear & Quadratic Functions
Diagram
Solution
The graph of the equations y = 2x + 5 and y = 2x\(^2\) + x - 1 are shown. Use the information above to answer this question.
Find the point of intersection of the two graphs.
Attached Figure / Diagram
A
(2.0, 9.0) and (-1.5, 2.0)
B
(2.0, 8.5) and (-1.5, 2.0)
C
(2.0, 8.0) and (-1.5, 2.5)
D
(2.0, 7.5) and (-1.5, 2.5)
medium Difficulty
Verified Correct Answer: Option A
Step-by-Step Mathematical Solution
The point of intersection are (2.0, 9.0) and (-1.5, 2.0)
Source: WAEC / JAMB / NECO Classroom Archive (Record #58411)
Mathematics
WAEC / WASSCE 2020
Graphs of Linear & Quadratic Functions
Diagram
Solution
The graph of the equations y = 2x + 5 and y = 2x\(^2\) + x - 1 are shown. Use the information above to answer this question.
If x = -2.5, what is the value of u on the curve?
Attached Figure / Diagram
A
y = 8.0
B
y = 8.5
C
y = 9.0
D
y = 9.5
medium Difficulty
Verified Correct Answer: Option B
Step-by-Step Mathematical Solution
If x = -2.5
y = 8.5
Source: WAEC / JAMB / NECO Classroom Archive (Record #58413)
Mathematics
WAEC / WASSCE 2020
Functions and Relations
Solution
The implication x \(\to\) y is equivalent to?
A
~ y \(\to\) ~ x
B
y \(\to\) ~ x
C
~ x \(\to\) ~ y
D
y \(\to\) x
medium Difficulty
Verified Correct Answer: Option A
Step-by-Step Mathematical Solution
x→y means "if x is true, then y is true."
The contrapositive of x→y is \simy → \simx, which is logically equivalent to the original implication.
Source: WAEC / JAMB / NECO Classroom Archive (Record #58289)
Physics
WAEC / WASSCE 2020
Heat Energy & Temperature
Solution
The length of an iron bar is 100cm at 20°C. At what temperature will its length increase by 0.01%? [Linear expansivity of iron = 1.2 x 10\(^{-5}\)°C]
A
48.0°C
B
38.0°C
C
28.3°C
D
23.0°C
medium Difficulty
Verified Correct Answer: Option C
Physical Principles & Numerical Solution
GIVEN DATA:
where \DeltaL is the increase in length = 0.01
L1 is the initial length = 100
T1 = 20
T2 = ?
\alpha is the linear expansivity of iron = 1.2 x 10\(^{-5}\)^\circC
Formula
\DeltaL = L1\alpha\DeltaT
\DeltaT = \(\frac{\DeltaL}{L1\alpha}\)
\DeltaT is the change in temperature = T2 - T1
T2 = \(\frac{\DeltaL}{L1\alpha}\) + T1
T2 = \(\frac{0.01}{100 \times 1.2 x 10^{-5}}\) + 20
T2 = 8.3 + 20
T2 = 28.3
Source: WAEC / JAMB / NECO Classroom Archive (Record #59417)
Physics
WAEC / WASSCE 2020
Simple Machine
Solution
Which of the following machines does not apply the lever principle?
A
Claw hammer
B
Wheelbarrow
C
Single pulley
D
sugar tong
medium Difficulty
Verified Correct Answer: Option C
Physical Principles & Numerical Solution
A single pulley is a device composed of a wheel on an axle over which a rope, cord, or similar implement is looped.
Source: WAEC / JAMB / NECO Classroom Archive (Record #59367)
Physics
WAEC / WASSCE 2020
Measurement of Heat Energy
Solution
Two identical cups containing the same volume of water at 45°C and 5°C, are left in a room at 25°C. Which of the following graphs correctly illustrates the variation of temperature with time?
A
A
B
B
C
C
D
D
medium Difficulty
Verified Correct Answer: Option C
Physical Principles & Numerical Solution
The cup containing water at 45∘C loses heat to the room since temperature of the room is lower than its temperature, hence its temperature reduces gradually, the cup containing water at 5∘C gains heat from the room since its temperature is lower than that of the room. hence, its temperature increases gradually, the lines are curved because as the temperature of the water changes the temperature difference between the water and surroundings also changes
Source: WAEC / JAMB / NECO Classroom Archive (Record #59402)
Physics
WAEC / WASSCE 2020
Electromagnetic Field
Solution
An electrical device has 50 turns in its primary coil and 20 turns in the secondary coil. The device can be a\an?
A
step-up transformer
B
step-down transformer
C
d.c generator
D
a.c generator
medium Difficulty
Verified Correct Answer: Option B
Physical Principles & Numerical Solution
In a step down transformer, there are more turns in the primary coil than in the secondary coil and more current flows in the secondary circuit than in the primary.
Source: WAEC / JAMB / NECO Classroom Archive (Record #59388)