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Biology
UTME / JAMB 2022
Variety of Organisms & Classification of Living Things
Solution
The system of classification in which there are seven hierarchies from kingdom to species was introduced by?
A
Felix Dujardin
B
Carolus Linneus
C
Theodore Schwann
D
Charles Darwin
medium Difficulty
Verified Correct Answer: Option B
Biological Concept & Syllabus Guide
Carolus Linnaeus is the father of taxonomy, which is the system of classifying and naming organisms.
One of his contributions was the development of a hierarchical system of classification of nature.
Today, this system includes eight taxa: domain, kingdom, phylum, class, order, family, genus, and species.
Source: Myschool Past Questions Archive (Record #64647)
Biology
UTME / JAMB 2022
Adaptation & Evolution
Solution
An adaptive feature of camel to the desert is?
A
ability to increase sweat production
B
ability to pass high amount of urine
C
ability to tolerate low degree of dehydration
D
ability to tolerate high degree of dehydration
medium Difficulty
Verified Correct Answer: Option D
Biological Concept & Syllabus Guide
The hump present in the camel helps them travel long periods without water to survive in the desert's harsh conditions.
Thus the hump acts as a fat reserve or an energy reserve.
Source: Myschool Past Questions Archive (Record #64648)
Biology
UTME / JAMB 2022
Variety of Organisms & Classification of Living Things
Diagram
Solution
The part labelled II is?
Attached Figure / Diagram
A
pellicle
B
cytoplasmic connections
C
flagella
D
cells
medium Difficulty
Verified Correct Answer: Option B
Biological Concept & Syllabus Guide
Similar cytoplasmic bridges link the cells of all volvocacean embryos.
I.e neighboring cells are often joined together by strands of cytoplasm.
Source: Myschool Past Questions Archive (Record #64651)
Biology
UTME / JAMB 2022
Variety of Organisms & Classification of Living Things
Diagram
Solution
The organism above is?
Attached Figure / Diagram
A
chlamydomonas
B
algae
C
volvox
D
euglena
medium Difficulty
Verified Correct Answer: Option C
Biological Concept & Syllabus Guide
Volvox is a polyphyletic genus of chlorophyte green algae in the family Volvocaceae. It forms spherical colonies of up to 50,000 cells.
Its plant body is coenobium and consists of large number of biflagellate, pear-shaped cells.
Source: Myschool Past Questions Archive (Record #64652)
Biology
WAEC / WASSCE 2022
Cell & Its Environment (Diffusion, Osmosis & Transport)
The process by which the amount of water and solutes in the blood is controlled is known as
A
hemolysis
B
diffusion
C
turgidity
D
osmoregulation
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 #65094)
Biology
UTME / JAMB 2022
Nutrition in Plants & Animals (Photosynthesis & Food Substances)
Solution
One of the functions of water in seed germination is to?
A
dilute the embryo
B
make the soil wet and soft
C
activate the enzymes
D
promote aerobic respiration
medium Difficulty
Verified Correct Answer: Option C
Biological Concept & Syllabus Guide
The water activates special proteins, called enzymes, that begin the process of seed growth.
Source: Myschool Past Questions Archive (Record #65779)
Mathematics
UTME / JAMB 2021
Linear, Simultaneous & Quadratic Equations
Solution
A car travels from calabar to Enugu, a distance of P km with an average speed of U km per hour and continues to benin, a distance of Q km, with an average speed of Wkm per hour. Find its average speed from Calabar to Benin
A
\(\frac{(p + q)}{pw + qu}\)
B
\(\frac{uw(p + q)}{pw + qu}\)
C
\(\frac{uw(p + q)}{pw}\)
D
\(\frac{uw}{pw + qu}\)
medium Difficulty
Verified Correct Answer: Option B
Step-by-Step Mathematical Solution
Average speed = \(\frac{total Distance}{Total Time}\)
from Calabar to Enugu in time t1, hence
t1 = \(\frac{P}{U}\)
Also from Enugu to Benin
t2 \(\frac{q}{w}\)
Av. speed = \(\frac{p + q}{t_1 + t_2}\)
= \(\frac{p + q}{p/u + q/w}\)
= p + q x \(\frac{uw}{pw + qu}\)
= \(\frac{uw(p + q)}{pw + qu}\)
Source: WAEC / JAMB / NECO Classroom Archive (Record #60711)
Mathematics
UTME / JAMB 2021
Algebraic Expressions, Polynomials & Factorisation
Solution
factorize m\(^3\) - m\(^2\) + 2m - 2
A
(m2 + 1)(m - 2)
B
(m - 1)(m + 1)(m + 2)
C
(m - 2)(m + 1)(m - 1)
D
(m2 + 2)(m - 1)
medium Difficulty
Verified Correct Answer: Option D
Step-by-Step Mathematical Solution
Using the trial expansion of each option
(m\(^2\) + 2) (m - 1)
OR
Group the terms
(\(m^3 - m^2\)) + ( 2m - 2)
\(m^2\)(m - 1) + 2(m - 1)
(m-1)(\(m^2\) + 2)
Source: WAEC / JAMB / NECO Classroom Archive (Record #60716)
Mathematics
UTME / JAMB 2021
Algebraic Expressions, Polynomials & Factorisation
Solution
Factorize completely 81a\(^4\) - 16b\(^4\)
A
(3a + 2b)(2a - 3b)(9a2 + 4b2)
B
(3a - 2b)(2a - 3b)(4a2 - 9b2)
C
(3a - 2b)(3a + 2b)(9a2 + 4b2)
D
(6a - 2b)(8a - 3b)(4a3 - 9b2)
medium Difficulty
Verified Correct Answer: Option C
Step-by-Step Mathematical Solution
81a\(^4\) - 16b\(^4\) = (9a\(^2\))\(^2\) - (4b\(^2\))\(^2\)
= (9a\(^2\) + 4b\(^2\))(9a\(^2\) - 4b\(^2\))
N:B 9a\(^2\) - 4b\(^2\) = (3a - 2b)(3a + 2b)
Source: WAEC / JAMB / NECO Classroom Archive (Record #60729)
Mathematics
UTME / JAMB 2021
Sets, Logic & Venn Diagrams
Solution
A group of market women sell at least one of yam, plantain and maize. 12 of them sell maize, 10 sell yam and 14 sell plantain. 5 sell plantain and maize, 4 sell yam and maize, 2 sell yam and plantain only while 3 sell all the three items. How many women are in the group?
A
25
B
19
C
18
D
17
medium Difficulty
Verified Correct Answer: Option A
Step-by-Step Mathematical Solution
Let the three items be M, Y and P.
n{M ∩ Y} only = 4-3 = 1
n{M ∩ P) only = 5-3 = 2
n{ Y ∩ P} only = 2
n{M} only = 12-(1+3+2) = 6
n{Y} only = 10-(1+2+3) = 4
n{P} only = 14-(2+3+2) = 7
n{M∩P∩Y} = 3
Number of women in the group = 6+4+7+(1+2+2+3) as above =25 women.
Source: WAEC / JAMB / NECO Classroom Archive (Record #60736)
Mathematics
UTME / JAMB 2021
Plane Geometry, Polygons & Circle Theorems
Solution
If (x + 2) and (x - 1) are factors of the expression \(Lx + 2kx^{2} + 24\), find the values of L and k.
A
l = -12, k = -6
B
l = -2 , k = 1
C
l = -2 , k = -1
D
l = 0, k = 1
medium Difficulty
Verified Correct Answer: Option A
Step-by-Step Mathematical Solution
Given (x + 2) and (x - 1), i.e. x = -2 or +1
when x = -2
L(-2) + 2k(-2)\(^2\) + 24 = 0
f(-2) = -2L + 8k = -24...(i)
And x = 1
L(1) + 2k(1) + 24 = 0
f(1):L + 2k = -24...(ii)
Subst, L = -24 - 2k in eqn (i)
-2(-24 - 2k) + 8k = -24
+48 + 4k + 8k = -24
12k = -24 - 48 = -72
k = \(frac{-72}{12}\)
k = -6
where L = -24 - 2k
L = -24 - 2(-6)
L = -24 + 12
L = -12
That is; K = -6 and L = -12
Source: WAEC / JAMB / NECO Classroom Archive (Record #60739)
Mathematics
WAEC / WASSCE 2021
Plane Geometry, Polygons & Circle Theorems
Solution
If 4x+2y=16 and 6x-2y=4 , find the value of (y-x).
A
8
B
2
C
4
D
6
medium Difficulty
Verified Correct Answer: Option B
Step-by-Step Mathematical Solution
Using elimination method:
4x+2y=16 * 6 --> 24x +12y=96 ... eqn iii
6x-2y=4 * 4 --> 24x - 8y = 16 ... eqn iv
Subtract eqn iv from iii
20y = 80
y = 4
Subst. y for 4 in 4x + 2y = 16
--> 4x + 2(4) = 16
--> 4x = 16 - 8
--> 4x = 8
--> x = 2
: The value of (y-x) is 4 - 2 = 2
Source: WAEC / JAMB / NECO Classroom Archive (Record #61192)
Mathematics
WAEC / WASSCE 2021
Fractions, Decimals, Percentages & Approximations
Solution
500 tickets were sold for a concert tickets for adults and children were sold at $4.50 and $3.00 respectively if the total receipts for the concerts was $1987.50 how many tickets for adults were sold?
A
325
B
235
C
175
D
400
medium Difficulty
Verified Correct Answer: Option A
Step-by-Step Mathematical Solution
A for Adults
C for children
a + c = 500
c = 500 - a
4.5a + 3c = 1987.50
where c = 500 - a
4.5a + 3(500 - a) = 1987.50
4.5a - 3a = 1987.50 - 1500
1.5a = 487.5
a = 487.5 / 1.5
a = 325 tickets
c = 500 - a
c = 500 - 325
c = 175 tickets
Check:
from 4.5a + 3c
4.5 (325) = 1,462.5
+
3(175) = 525
Source: WAEC / JAMB / NECO Classroom Archive (Record #61459)
Mathematics
WAEC / WASSCE 2021
Plane Geometry, Polygons & Circle Theorems
Solution
A man will be (x+10)years old in 8years time. If 2years ago he was 63 years., find the value of x
A
55
B
63
C
57
D
67
medium Difficulty
Verified Correct Answer: Option B
Step-by-Step Mathematical Solution
A man will be (x+10) years old in 8years time.
As at today, he is x + 2 years of age.
The man was 63 years old 2 years ago, so he is 63+2=65 now.
8 years from now, he will be 65+8=73.
He will be (x+10) years old when he is 73. So
x+10=73
x=73-10=63
Source: WAEC / JAMB / NECO Classroom Archive (Record #61464)
Mathematics
WAEC / WASSCE 2021
Algebraic Expressions, Polynomials & Factorisation
Solution
For what value of x is \(\frac{4 - 2x}{x + 1}\) undefined.
A
2
B
-1
C
1
D
-2
medium Difficulty
Verified Correct Answer: Option B
Step-by-Step Mathematical Solution
A rational expression is undefined when the denominator is equal to zero.
when x = -1
The denominator in this equation : x + 1
--> -1 + 1 = 0
This expression is undefined when x = -1
Source: WAEC / JAMB / NECO Classroom Archive (Record #61466)