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English Language
UTME / JAMB 2022
English Grammar
Solution
From the options lettered A-D, choose the option that is nearest in meaning to the underlined word.
It is wise not to depend on mundane things.
A
imported
B
material
C
attractive
D
expensive
medium Difficulty
Verified Correct Answer: Option B
Grammar & Contextual Explanation
Both means things that are of this earthly world rather than a heavenly or spiritual one.
Source: Myschool Past Questions Archive (Record #67056)
English Language
UTME / JAMB 2022
English Grammar
Solution
From the options lettered A-D, choose the option that is nearest in meaning to the underlined word.
Now that the company is insolvent , it will shut down.
A
overworked
B
unstable
C
bankrupt
D
affluent
medium Difficulty
Verified Correct Answer: Option C
Grammar & Contextual Explanation
Both mean to be unable to pay what you owe because you do not have enough money.
Source: Myschool Past Questions Archive (Record #67057)
English Language
UTME / JAMB 2022
English Grammar
Solution
Choose the option that has the same consonant sound as the one represented by the letter(s) underlined.
mother
A
think
B
teacher
C
breathe
D
watched
medium Difficulty
Verified Correct Answer: Option C
Grammar & Contextual Explanation
Both words have the /ð/ sound.
Source: Myschool Past Questions Archive (Record #67058)
English Language
UTME / JAMB 2022
English Grammar
Solution
Pick out the option with a different rhyme
A
Roar
B
Four
C
Growl
D
Bore
medium Difficulty
Verified Correct Answer: Option C
Grammar & Contextual Explanation
Only Growl has a different rhyme
Source: Myschool Past Questions Archive (Record #67059)
English Language
UTME / JAMB 2022
English Grammar
Solution
Choose the word that has the same rhyme
Watch
A
none of the above
B
botch
C
catch
D
match
medium Difficulty
Verified Correct Answer: Option B
Grammar & Contextual Explanation
watch - /wɒtʃ/
botch - /bɒtʃ/
catch - /kætʃ/
match -/mætʃ/
Source: Myschool Past Questions Archive (Record #67060)
English Language
UTME / JAMB 2022
English Grammar
Solution
Choose the option that has the same stress pattern as the given word.
Student
A
Refuse(N)
B
Propose
C
Rebel(V)
D
Superb
medium Difficulty
Verified Correct Answer: Option A
Grammar & Contextual Explanation
Verbs and adverbs are usually stressed on the last syllable except if it contains a weak vowel. Nouns and adjectives, on the other hand, are stressed on the first syllable except if it contains a weak vowel. Refuse(N) and student are both stressed on the first syllable unlike other options stressed on the second syllable.
Source: Myschool Past Questions Archive (Record #67061)
English Language
UTME / JAMB 2022
English Grammar
Solution
Choose the option that has the same stress pattern as the given word.
Student
A
Refuse(N)
B
Propose
C
Rebel(V)
D
Superb
medium Difficulty
Verified Correct Answer: Option A
Grammar & Contextual Explanation
Verbs and adverbs are usually stressed on the last syllable except if it contains a weak vowel. Nouns and adjectives, on the other hand, are stressed on the first syllable except if it contains a weak vowel. Refuse(N) and student are both stressed on the first syllable unlike other options stressed on the second syllable.
Source: Official Exam / Past Question Archive
Mathematics
UTME / JAMB 2022
Geometry and Trigonometry
Solution
Find the length of a chord 3cm from the centre of a circle of radius 5cm
A
8cm
B
5.6cm
C
7cm
D
6.5cm
medium Difficulty
Verified Correct Answer: Option A
Step-by-Step Mathematical Solution
Using pythagoras formula:
Hyp\(^2\) = adj\(^2\) + opp\(^2\)
5\(^2\) = opp\(^2\) + 3\(^2\)
5\(^2\) - 3\(^2\) = adj\(^2\)
4 = adj
length of the chord = 2 * 4 = 8cm
Source: Myschool Past Questions Archive (Record #64218)
Mathematics
UTME / JAMB 2022
Geometry and Trigonometry
Solution
Mr Adu spends his annual salary on food(f), rent(r), car maintenance, gifts(g), savings(s) and some miscellaneous (m) as indicate in the table below:
F
R
C
G
S
M
28%
15%
20%
14%
10%
13%
If the above information is represented on a pie chart. What angle represents his spending on food?
A
108.5
B
100.8
C
98.8
D
120.5
E
120.5
medium Difficulty
Verified Correct Answer: Option B
Step-by-Step Mathematical Solution
\(\frac{28 * 360}{100}\)
= 100.8º
Source: Myschool Past Questions Archive (Record #64229)
Mathematics
UTME / JAMB 2022
Algebra
Solution
If A = \(\begin{pmatrix} 2 & 1 \\ 2 & 3 \\ 1 & 2 \end{pmatrix}\) and B = \(\begin{pmatrix} 3 & 2 \\ 4 & 2 \end{pmatrix}\). Find AB
A
\(\begin{pmatrix} 18 & 6 \\ 12 & 10 \\ 10 & 6 \end{pmatrix}\)
B
\(\begin{pmatrix} 10 & 6 \\ 13 & 10 \\ 12 & 6 \end{pmatrix}\)
C
\(\begin{pmatrix} 10 & 6 \\ 12 & 10 \\ 11 & 6 \end{pmatrix}\)
D
\(\begin{pmatrix} 10 & 6 \\ 18 & 10 \\ 11 & 6 \end{pmatrix}\)
medium Difficulty
Verified Correct Answer: Option D
Step-by-Step Mathematical Solution
Given A = \(\begin{pmatrix} 2 & 1 \\ 2 & 3 \\ 1 & 2 \end{pmatrix}\) and B = \(\begin{pmatrix} 3 & 2 \\ 4 & 2 \end{pmatrix}\).
We can multiply these matrices since the number of colums in A = number of rows in B
AB = \(\begin{pmatrix} (2*3)+(1*4) & (2*2)+(1*2) \\ (2*3)+(3*4) & (2*2)+(3*2) \\ (1*3)+(2*4) & (1*2)+(2*2) \end{pmatrix}\)
AB = \(\begin{pmatrix} (6+4) & (4+2) \\ (6+12) & (4+6) \\ (3+8) & (2+4) \end{pmatrix}\)
= \(\begin{pmatrix} 10 & 6 \\ 18 & 10 \\ 11 & 6 \end{pmatrix}\)
Source: Myschool Past Questions Archive (Record #64273)
Mathematics
UTME / JAMB 2022
Number and Numeration
Solution
If y varies inversely as x and x = 3 when y =4. Find the value of x when y = 12
A
4
B
1
C
2
D
3
medium Difficulty
Verified Correct Answer: Option B
Step-by-Step Mathematical Solution
y = 1/x; y = \(\frac{k}{x}\)
k =xy → 3 * 4 = 12
x = \(\frac{k}{y}\)
x = \(\frac{12}{12}\) = 1
Source: Myschool Past Questions Archive (Record #64392)
Mathematics
UTME / JAMB 2022
Algebra
Diagram
Solution
The number line represented by the inequality
Attached Figure / Diagram
A
x≤2
B
x<2
C
x≥2
D
x>2
medium Difficulty
Verified Correct Answer: Option C
Step-by-Step Mathematical Solution
x \ge 2 is represented by an arrow with an filled-in dot above the 2.
The arrow points in the direction of all the numbers that are greater than 2.
Source: Myschool Past Questions Archive (Record #64410)
Biology
UTME / JAMB 2022
Science of Living Things
Diagram
Solution
The beak structure of the organism is best adapted for?
Attached Figure / Diagram
A
pecking grass
B
killing and picking fish
C
pecking woods
D
sucking nectars
medium Difficulty
Verified Correct Answer: Option D
Biological Concept & Syllabus Guide
The beaks of nectar sucking birds are long slender and pointed.
This helps in sucking nectar and also feeding insects and food to the young ones.
Birds like Hummingbirds have this kind of beaks.
Source: Official Exam / Past Question Archive
Biology
UTME / JAMB 2022
Science of Living Things
Solution
sources of air pollutants are?
A
industrial chimneys, burning fossil oils and river dams
B
sulphurdioxide, acid rain and pesticides
C
sulphur dioxide, vehicle exhausts, and aerosols
D
sewage,smoke and old vehicles
medium Difficulty
Verified Correct Answer: Option C
Biological Concept & Syllabus Guide
Household combustion devices, motor vehicles, industrial facilities and forest fires are common sources of air pollution. Pollutants of major public health concern include particulate matter, carbon monoxide, ozone, nitrogen dioxide and sulfur dioxide.
Source: Myschool Past Questions Archive (Record #63009)
Biology
UTME / JAMB 2022
Science of Living Things
Solution
The body of a snail is divided into head?
A
thorax and abdomen
B
visceral mass and abdomen
C
thorax and foot
D
visceral mass and foot
medium Difficulty
Verified Correct Answer: Option D
Biological Concept & Syllabus Guide
A snail's body consists of these main parts – the head, the visceral hump, and the foot
Source: Myschool Past Questions Archive (Record #63044)