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Biology
WAEC / WASSCE 2020
Reproduction in Plants & Animals
Solution
Study Specimens E, F, and H and answer questions 2(a) to 2(f).
(a) What types of fruits are specimens E, F, and H?
E: _________ F:_________ H: ___________
(b) Name the types of placentation possessed by each of specimens E, F and H:
(c) Name one agent of dispersal each of specimens E, F and H? E: H: F: F:
(d)(i) Explain briefly how specimen E is dispersed. (ii) State two types of nutrients present in specimen E.
(e)(i) What is the color of specimen H? (ii) What does the color of specimen H signify?
(f) Using the scalpel/blunt knife provided, cut open specimen H along the line of split from one side only.
(i) Name the type of placentation found in specimen H.
(ii) Make a drawing, 6 cm to 8 cm long of the two split halves of specimen H while still joined at one length and label fully.
medium Difficulty
Verified Correct Answer: Option
Biological Concept & Syllabus Guide
(a) Type of Fruits of Specimens E/Pawpaw fruit, F/Tomato fruit and H/Pod of Pride of Barbados: (b) Placentation of Fruits of Specimens E/Pawpaw fruit and F E: Berry F: Berry H: Legume.
(b) Placentation of Fruits of Specimens E/Pawpaw fruit and F Tomato fruit. E: Parietal F: Axile.
(c) Agents of Dispersal of Specimens E/Pawpaw fruit, F/ Tomato fruit and H/Pod of Pride of Barbados: E:
Man/Human/animal/any correctly named animal F: Man/Human /animal/any correctly named animal H: Explosive mechanism
(d)i) Explanation of how Specimen E is dispersed:-The epicarp is brightly colored;-Which attracts man/humans/ animal/correctly named animal; -To eat its succulent parts (mesocarp and endocarp);-then eventually -Which attracted man/humans/ throws away its seed/plants it.
(ii) Nutrient present in Specimen E: -Vitamins; -Carbohydrate -Protein/amino acid/calcium/magnesium/potassium/zinc/phosphorus/iron/
Carbohydrate: fructose/sucrose/sugars copper/manganese; -Mineral salts; -Water; -Riboflavin
(e) Color of Specimen H: Green. (ii) Significance of the Color of Specimen : It indicates that the fruit contains chlorophyll / is photosynthetic.
(f(i)) Type of Placentation of Specimen H: Marginal.
Source: Myschool Past Questions Archive (Record #60284)
Mathematics
WAEC / WASSCE 2019
Plane Geometry, Polygons & Circle Theorems
Diagram
Solution
In the diagram, RT is a tangent to the circle at R, < PQR = 70\(^o\), < QRT = 52\(^o\), < QSR and < PRQ = x. Calculate the value of x.
Attached Figure / Diagram
A
70\(^o\)
B
58\(^o\)
C
55\(^o\)
D
48\(^o\)
medium Difficulty
Verified Correct Answer: Option B
Step-by-Step Mathematical Solution
x = 180\(^o\) - (52\(^o\) + 70\(^o\))
= 180\(o\) - 122\(^o\)
= 58\(^o\)
Source: WAEC / JAMB / NECO Classroom Archive (Record #57380)
Mathematics
WAEC / WASSCE 2019
Plane Geometry, Polygons & Circle Theorems
Diagram
Solution
In the diagram, PQ is parallel to RS, < QFG = 105\(^o\) and < FEG = 50\(^o\). Find the value of n
Attached Figure / Diagram
A
40\(^o\)
B
55\(^o\)
C
75\(^o\)
D
130\(^o\)
medium Difficulty
Verified Correct Answer: Option C
Step-by-Step Mathematical Solution
E\(G\)R = 50\(^o\) (Alternative angles)
n + 55\(^o\) + 50\(^o\) = 180\(^o\) (Sum of angles on a straight line)
n = 180\(^o\) - 105\(^o\)
n = 75\(^o\)
Source: WAEC / JAMB / NECO Classroom Archive (Record #57384)
Mathematics
WAEC / WASSCE 2019
Fractions, Decimals, Percentages & Approximations
Solution
Evaluate: \(\frac{0.42 \div 2.5}{0.5 \times 2.05}\), leaving the answer in the standard form.
A
1.639 x 10\(^2\)
B
1.639 x 10\(^1\)
C
1.639 x 10\(^{-1}\)
D
1.639 x 10\(^{-2}\)
medium Difficulty
Verified Correct Answer: Option C
Step-by-Step Mathematical Solution
\(\frac{0.42 \div 2.5}{0.5 \times 2.05} = \frac{0.168}{1.025}\)
= 1.639 x 10\(^{-1}\)
Source: WAEC / JAMB / NECO Classroom Archive (Record #57686)
Mathematics
WAEC / WASSCE 2019
Sets, Logic & Venn Diagrams
Solution
If T = {prime numbers} and M = {odd numbers} are subsets of \(\mu\) = {x : 0 < x ≤ 10} and x is an integer, find (T\(^{\prime}\) n M\(^{\prime}\)).
A
{4, 6, 8, 10}
B
{1. 4, 6, 8, 10}
C
{1, 2, 4, 6, 8, 10}
D
{1, 2, 3, 5, 7, 8, 9}
medium Difficulty
Verified Correct Answer: Option A
Step-by-Step Mathematical Solution
T = {2, 3, 5, 7}
M = {1, 3, 5, 7, 9}
\(\mu\) = {1, 2, 3, 4, 5, 6, 7, 8, 9, 10}
T\(^{\prime}\) = = {1, 4, 6, 8, 9, 10}
M\(^{\prime}\) = {2, 4, 6, 8, 10}
(T\(^{\prime}\) \(\cap\) M\(^{\prime}\)) = {4, 6, 8, 10}
Source: WAEC / JAMB / NECO Classroom Archive (Record #57122)
Mathematics
WAEC / WASSCE 2019
Plane Geometry, Polygons & Circle Theorems
Diagram
Solution
In XYZ, |YZ| = 32cm, < YXZ 53\(^o\) and XZY = 90\(^o\). Find, correct to the nearest centimetre, |XZ|
Attached Figure / Diagram
A
31 cm
B
25 cm
C
20 cm
D
13 cm
medium Difficulty
Verified Correct Answer: Option B
Step-by-Step Mathematical Solution
Tan 52\(^o\) = \(\frac{32}{\text{|XZ|}}\)
|XZ| = \(\frac{32}{Tan 52^o}\)
= 25cm
Source: WAEC / JAMB / NECO Classroom Archive (Record #57253)
Mathematics
UTME / JAMB 2019
Statistics (Data Representation, Central Tendency & Dispersion)
Diagram
Solution
The histogram above represents the number of candidates who did Further Mathematics examination in a school. How many candidates scored more than 40?
Attached Figure / Diagram
A
100
B
79
C
150
D
90
medium Difficulty
Verified Correct Answer: Option C
Step-by-Step Mathematical Solution
Number of students that scored above 40 = 55 + 45 + 30 + 15 + 5
= 150 students.
Source: WAEC / JAMB / NECO Classroom Archive (Record #55453)
Mathematics
WAEC / WASSCE 2019
Statistics (Data Representation, Central Tendency & Dispersion)
Solution
8, 18, 10,14, 18, 11, 13, 14, 13, 17, 15, 8, 16, and 13
The following are scores obtained by some students in a test. How many students scored above the mean score?
A
10
B
9
C
8
D
7
medium Difficulty
Verified Correct Answer: Option D
Step-by-Step Mathematical Solution
Mean = \(\frac{8 + 18 + 10 + 14 + 18 + 11 + 13 + 14 + 13 + 17 + 15 + 8 + 16 + 13}{14}\)
Mean = \(\frac{188}{14}\)
Mean = 13.4
Number above the mean is 7
Source: WAEC / JAMB / NECO Classroom Archive (Record #57395)
Mathematics
WAEC / WASSCE 2019
Permutations, Combinations & Probability
Solution
A box contains 2 white and 3 blue identical balls. If two balls are picked at random from the box, one after the other with replacement, what is the probability that they are of different colours?
A
\(\frac{2}{3}\)
B
\(\frac{3}{5}\)
C
\(\frac{7}{20}\)
D
\(\frac{12}{25}\)
medium Difficulty
Verified Correct Answer: Option D
Step-by-Step Mathematical Solution
(\(\frac{2}{5} \times \frac {3}{5}) + (\frac{3}{5} \times \frac{2}{5})\)
\(\frac{6}{25} + \frac{6}{25} = \frac{12}{25}\)
Source: WAEC / JAMB / NECO Classroom Archive (Record #57331)
Physics
UTME / JAMB 2019
Calorimetry, Latent Heat & Change of State
Solution
A metal rod has a length of 100cm at 200°C. At what temperature will its length be 99.4cm. If the linear expansivity of the material of the rod is 2 × 10\(^{-5}\)C\(^{-1}\)
A
\(300^0C\)
B
\(200^0C\)
C
\(100^0C\)
D
\(-100^0C\)
medium Difficulty
Verified Correct Answer: Option D
Physical Principles & Numerical Solution
L\(_1\) = 100cm, T\(_1\) = 200^\circC
L\(_2\) = 99.4cm, T\(_2\) = ?
\alpha 2 \times 10\(^{-5}\) C\(^{-1}\)
\alpha
=
L\(_2\) - L\(_1\)
L\(_1\)(T\(_2\) - T\(_1\))
2
\times
10\(^{-5}\)
=
110 - 99.4
100(200 - T\(_2\))
=
0.6
100(200 - T\(_2\))
2 \times 10\(^{-5} \times 100(200 - T_2\)) = 0.6
200
-
T\(_2\)
=
0.6
0.002
=
300^\circC
T\(_2\) = 200 - 300 = -100^\circC
Source: WAEC / JAMB / NECO Classroom Archive (Record #55260)
Physics
WAEC / WASSCE 2019
Calorimetry, Latent Heat & Change of State
Solution
Which of the following thermometers is used to measure the temperature of the human body?
A
Thermocouple
B
Alcohol-in-glass thermometer
C
Gas thermometer
D
Platinum resistance thermometer
medium Difficulty
Verified Correct Answer: Option B
Physical Principles & Numerical Solution
The range of usefulness of the thermometer is set by the boiling point of the liquid used. In the case of the ethanol-filled thermometer, the upper limit for measurement is 78 ^\circC (172.4 ^\circF), which makes it useful for measuring daytime, nighttime and body temperatures, although not for anything much hotter than these.
Source: WAEC / JAMB / NECO Classroom Archive (Record #59023)
Physics
WAEC / WASSCE 2019
Circular Motion, Gravitation & Simple Harmonic Motion
Solution
An electron of mass 9.1 x 10\(^{-31}\) kg moves with a speed of 2.0 x 10\(^6\) ms\(^{-1}\) round the nucleus of an atom in a Circular path of radius 6.1 x 10(^{11}\) m. Determine the angular speed of the electron.
A
3.28 x 10\(^{16}\) rad s\(^{-1}\)
B
8.55 x 10\(^{3}\) rad s\(^{-1}\)
C
9.11 x 10\(^{13}\) rad s\(^{-1}\)
D
5.22 x 10\(^{15}\) rad s\(^{-1}\)
medium Difficulty
Verified Correct Answer: Option A
Physical Principles & Numerical Solution
Angular speed of the electron (W)
w = \(\frac{Velocity}{Radius} = \frac{V}{R}\)
= \(\frac{2.0 \times 10^6}{6.1 \times 10^{11}}\)
= 3.28 x 10\(^{16}\) rads\(^{-1}\)
Source: WAEC / JAMB / NECO Classroom Archive (Record #58963)
Physics
UTME / JAMB 2019
Equilibrium of Forces, Moments & Flotation
Diagram
Solution
The diagram shows a uniform meter rule AB which balances horizontally at the 90cm mark when a mass of 0.2kg is suspended from B. Calculate the mass of the meter rule.
Attached Figure / Diagram
A
0.05kg
B
0.20kg
C
0.80kg
D
1.00kg
medium Difficulty
Verified Correct Answer: Option A
Physical Principles & Numerical Solution
M\(_r\)(90 - 50) = 0.2(100 - 90)
40M\(_r\) = 0.2 \times 10
M\(_r\) = \(\frac{2}{40}\) = 0.05kg
Source: WAEC / JAMB / NECO Classroom Archive (Record #55821)
Physics
WAEC / WASSCE 2019
Newton's Laws, Momentum & Collisions
Solution
In an elastic collision, momentum is conserved as well as well as?
A
velocity
B
kinetic energy
C
potential energy
D
speed
medium Difficulty
Verified Correct Answer: Option B
Physical Principles & Numerical Solution
An elastic collision is an encounter (collision) between two bodies in which the total kinetic energy of the two bodies remains the same.
Source: WAEC / JAMB / NECO Classroom Archive (Record #58783)
Physics
UTME / JAMB 2019
Circular Motion, Gravitation & Simple Harmonic Motion
Solution
A siren having a ring of 200 hole makes 132 rev/min. A jet of air is directed on the set of holes. Calculate the frequency and wavelength in air of the note produced (take v = 350m/s)
A
0.795m
B
0.625m
C
0.335m
D
0.125m
medium Difficulty
Verified Correct Answer: Option A
Physical Principles & Numerical Solution
n = 200, S = 132 rev/min, v = 350m/s\(^2\)
f
=
ns
=
200
\times
132
rev
min
\times
1min
60s
=
440Hz
\lambda
=
v
f
=
350
440
=
0.795m
Source: WAEC / JAMB / NECO Classroom Archive (Record #55265)