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Mathematics
WAEC / WASSCE 2021
Number and Numeration
Diagram
Solution
In the diagram, \(\overline{AD}\) is a diameter of a circle with Centre O. If ABD is a triangle in a semi-circle ∠OAB=34",
find: (a) ∠OBD (b) ∠OCB
Attached Figure / Diagram
medium Difficulty
Verified Correct Answer: Option
Step-by-Step Mathematical Solution
∠OAB = ∠OBA=34^\circ (base
Source: Myschool Past Questions Archive (Record #61485)
Mathematics
WAEC / WASSCE 2021
Number and Numeration
Solution
(a) A man shared his property among his children as follows:
Child's name
Ann
Afia
Kojo
Nuno
Akom
Percentage share
5
15
10
45
25
Represent the information on a pie chart
(b) A box contains 5 red, 3 green and 4 blue identical beads. Calculate the probability th a girl takes away two red beads, one after the other, from the box.
medium Difficulty
Verified Correct Answer: Option
Step-by-Step Mathematical Solution
(a) pie chart above.
Child's Name
Percentage Share (%)
Angle(^\circ)
Ann
5
5/100 * 360" = 18
Afia
15
15/100 x 360^\circ = 54
Kojo
10
10/100 x 360^\circ = 36
Nuno
45
45/100 x 360^\circ = 162
Akosua
25
25/100 x 360^\circ = 90
Total
100
360
(b) P(1st red) = 5/12
P(2nd red) = 4/11
Probability (two red beads) = 5/12 * 4/11
= 5/33 (Accept 0.1515)
Source: Myschool Past Questions Archive (Record #61489)
Mathematics
WAEC / WASSCE 2021
Number and Numeration
Solution
.(a) In a class of 80 students,\(\frac{3}{4}\) study Biology and \(\frac{3}{5}\) study Physics.
If each student studies at least one of the subjects: (i) draw a Venn diagram to represent this information
(ii) how many students study both subjects
(iii) find the fraction of the class that study Biology but not Physics.
(b) Johnson and Jocatol Ltd. owned a business office with floor measuring 15m by 8 m which was to be carpeted.
The cost of carpeting was Gh¢ 890.00 per square metre. If a total of GH 216,120.00 was spent on painting and carpeting, how much was the cost of painting?
medium Difficulty
Verified Correct Answer: Option
Step-by-Step Mathematical Solution
x = students that study both
(ii) 60- x + x + 48-x=80
x = 108-80
= 28
(iii) Fraction --> (60-28)/80
= 32/80 or 2/5
(b) Area of floor= 15x8= 120m\(^2\)
Cost of carpeting= 120 x GHC 890
= GHC106,800.00
Cost of paining = GHC(216,120 - 106,800)
= GHC109,320.00
Source: Myschool Past Questions Archive (Record #61495)
Mathematics
WAEC / WASSCE 2021
Geometry and Trigonometry
Solution
The table shows the distribution of the number of hours per day spent in studying by 50 students.
Number of hours per day
4
5
6
7
8
9
10
11
Number of students
5
7
5
9
12
4
3
5
Calculate, correct to two decimal places,
the: (a) mean; (b) standard deviation.
medium Difficulty
Verified Correct Answer: Option
Step-by-Step Mathematical Solution
x
f
fx
fx\(^2\)
4
5
20
80
5
7
35
175
6
5
30
180
7
9
63
441
8
12
96
768
9
4
36
324
10
3
30
300
11
5
55
605
£f = 50
£fx = 365
£fx\(^2\) = 2,873
(a) Mean(\(\overline{x}\)) = \(\frac{365}{50}\) = 7.30 (2 d.p.)
(b) Standard deviation = \sqrt(\(\frac{2873}{50}\)) - (7.3)\(^2\)
= \sqrt4.17
= 2.0421
= 2.04 (2 d.p.)
Source: Myschool Past Questions Archive (Record #61562)
Biology
WAEC / WASSCE 2021
Science of Living Things
Plants suitable for experiments in genetics must not
A
produce numerous seeds within a short time
B
have a small number of chromosomes
C
have a relatively short life cycle
D
produce one generation in a large period
medium Difficulty
Verified Correct Answer: Option D
Biological Concept & Syllabus Guide
No expanded working has been attached for this question yet. The verified answer is Option D.
Source: Official Exam / Past Question Archive
Biology
WAEC / WASSCE 2021
Science of Living Things
Which of the following organelles is common to both plant and animal cells
A
Cellulose cell wall
B
Chlorophyll
C
Cell membrane
D
Large vacuole
medium Difficulty
Verified Correct Answer: Option C
Biological Concept & Syllabus Guide
No expanded working has been attached for this question yet. The verified answer is Option C.
Source: Myschool Past Questions Archive (Record #62352)
Biology
WAEC / WASSCE 2021
Science of Living Things
Diagram
The sections in X and Y respectively, are
Attached Figure / Diagram
A
longitudinal and transverse
B
transverse and longitudinal
C
cross and transverse
D
transverse and cross
medium Difficulty
Verified Correct Answer: Option B
Biological Concept & Syllabus Guide
No expanded working has been attached for this question yet. The verified answer is Option B.
Source: Myschool Past Questions Archive (Record #62353)
Biology
WAEC / WASSCE 2021
Science of Living Things
Diagram
The fruit that has the illustrated sections is a
Attached Figure / Diagram
A
hesperidium
B
capsule
C
drupe
D
cypsela
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 #62354)
Biology
WAEC / WASSCE 2021
Science of Living Things
Diagram
The structure labelled I is associated with
Attached Figure / Diagram
A
sexual reproduction
B
asexual reproduction
C
bud formation
D
gamete formation
medium Difficulty
Verified Correct Answer: Option B
Biological Concept & Syllabus Guide
No expanded working has been attached for this question yet. The verified answer is Option B.
Source: Myschool Past Questions Archive (Record #62355)
Biology
WAEC / WASSCE 2021
Science of Living Things
Diagram
The structure labeled II is the
Attached Figure / Diagram
A
spore
B
stolon
C
columella
D
sporangium
medium Difficulty
Verified Correct Answer: Option D
Biological Concept & Syllabus Guide
No expanded working has been attached for this question yet. The verified answer is Option D.
Source: Myschool Past Questions Archive (Record #62356)
Biology
WAEC / WASSCE 2021
Science of Living Things
Diagram
Which of the following statements about the structure labeled III is correct?
Attached Figure / Diagram
A
secretes digestive enzymes into the substrate
B
absorbs mineral salts from the soil
C
forms the root hairs of the organism
D
develops into stolon
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 #62357)
Biology
WAEC / WASSCE 2021
Science of Living Things
Diagram
The level of organization of the organism is
Attached Figure / Diagram
A
tissue
B
cell
C
organ
D
system
medium Difficulty
Verified Correct Answer: Option B
Biological Concept & Syllabus Guide
No expanded working has been attached for this question yet. The verified answer is Option B.
Source: Myschool Past Questions Archive (Record #62358)
Biology
WAEC / WASSCE 2021
Science of Living Things
Diagram
Solution
The organism belongs to the Phylum
Attached Figure / Diagram
A
Rhizopoda
B
Ciliophora
C
Euglenophyta
D
Rhodophyta
medium Difficulty
Verified Correct Answer: Option C
Biological Concept & Syllabus Guide
The organism in question is the euglena.
Euglena, is a genus of euglenoids, which is classified within the phylum Euglenozoa. While some older classifications placed them in the algal phylum Euglenophyta, the current consensus is Euglenozoa.
Source: Myschool Past Questions Archive (Record #62359)
Biology
WAEC / WASSCE 2021
Science of Living Things
Solution
A plant cell placed in a solution with a higher water potential will
A
expand and then shrink
B
enlarge and become turgid.
C
expand and then burst
D
decrease in size and become flaccid
medium Difficulty
Verified Correct Answer: Option B
Biological Concept & Syllabus Guide
If a plant cell is placed in a solution with a higher water potential, it will absorb water by osmosis, causing the cell to swell and become turgid (firm and swollen) due to the pressure exerted on the cell wall by the incoming water.
Source: Myschool Past Questions Archive (Record #62360)
Biology
WAEC / WASSCE 2021
Science of Living Things
Offspring formed by sexual reproduction exhibit more variation than those formed by asexual reproduction because
A
greater amount of DNA is involved in sexual reproduction
B
gametes of parents have different genetic composition
C
genetic materials come from parents of two different species
D
sexual reproduction is a lengthy process
medium Difficulty
Verified Correct Answer: Option B
Biological Concept & Syllabus Guide
No expanded working has been attached for this question yet. The verified answer is Option B.
Source: Myschool Past Questions Archive (Record #62361)