Question Library
Browse, filter, and study verified past examination questions with step-by-step mathematical reasoning.
Searching 18,000+ Questions...
Sifting topics, KaTeX formulas & verified solutions
Showing 7981–7995 of 14893 verified questions
Sort by:
Chemistry
UTME / JAMB 2002
Water, Solutions & Solubility
Solution
The furring of kettles is caused by the presence in the water of?
A
Calcium tetraoxosulphate (VI)
B
Calcium hydrogentrioxocarbonate (IV)
C
Calcium hydroxide
D
Calcium trioxocarbonate (IV)
medium Difficulty
Verified Correct Answer: Option D
Chemical Principles & Mechanism
The furring of kettles or boilers - this is as a result of the decomposition of \(Ca(HCO_3)_2\) into \(CaCO_3\), and this\(CaCO_3\) coats the inside of a kettle or boiler used in heating water containing dissolved \(Ca(HCO_3)_2\).
When a kettle has been used to boil temporary hard water for quite some time, the inner surfaces become coated with a white fur-like layer. This layer (furring of the kettle) is due to the gradual deposition of calcium trioxocarbonate(IV), from the decomposition of Calcium hydrogentrioxocarbonate (IV).
Source: WAEC / JAMB / NECO Classroom Archive (Record #1760)
Chemistry
UTME / JAMB 2002
Electrolysis & Electrochemical Cells
Solution
What amount of mercury would be liberated if the same quantity of electricity that liberates 0.65g of zinc is applied?
A
2.01g
B
1.00g
C
4.02g
D
8.04g
medium Difficulty
Verified Correct Answer: Option A
Chemical Principles & Mechanism
Zn\(^{2+}\) + 2e\(^-\) → Zn
2F will be liberated 65g of Zn, if 0.65gm of Zn is liberated, the quantity of electricity used
X = (0.65/65) X 2
= 0.02F
∴ Hg\(^{2+}\) + 2e\(^-\) → Hg
i.e 2F → 201gm of Hg
∴ 0.02 will liberated
Y = \(\frac{0.02}{2}\) X 201
= 2.01g
Source: WAEC / JAMB / NECO Classroom Archive (Record #1746)
Chemistry
UTME / JAMB 2002
Organic Chemistry II: Functional Groups, Polymers & Biomolecules
Diagram
Solution
The major product of the dehydration of the compound above is?
Attached Figure / Diagram
A
A
B
B
C
C
D
D
medium Difficulty
Verified Correct Answer: Option D
Chemical Principles & Mechanism
The dehydration of tertiary alcohols is relatively simple and can be achieved by heating the alcohol to a high temperature or using a catalyst. The dehydrated product is a mixture of alkenes, with or without carbocation rearrangement. Recall that dehydration process involves removal of a molecule of water. As a result,the OH in the tertiary alcohol will combine with one atom of H from the CH\(_3\) attached to the C atom carrying the OH group, to form water, thereby introducing a C=C.
The product of dehydrating a tertiary alcohol is an alkene. Therefore, option D is the correct answer.
Source: WAEC / JAMB / NECO Classroom Archive (Record #31610)
Mathematics
UTME / JAMB 2002
Plane Geometry, Polygons & Circle Theorems
Diagram
Solution
In the diagram above, PST is a straight line, PQ = QS = RS. If ∠RST = 72o, find x
Attached Figure / Diagram
A
36o
B
18o
C
72o
D
24o
medium Difficulty
Verified Correct Answer: Option D
Step-by-Step Mathematical Solution
In Δ PQS, ∠PSQ = X(base ∠s of isoc Δ PQS)
In Δ QRS, ∠RQS = ∠PSQ + X(Extr ∠ = sum of two intr. opp ∠s)
∴ ∠RQS = X + X
= 2X
Also ∠QRS = 2X(base ∠s of isoc Δ QRS in Δ PRS,
72 = ∠RPS + ∠PRS(Extr, ∠ = sum of two intr. opp ∠s)
∴ 72 = x + 2x
72 = 3x
x = 72/3
x = 24o
Source: Myschool Past Questions Archive (Record #10927)
Mathematics
UTME / JAMB 2002
Mensuration (Areas, Perimeters & Volumes)
Diagram
Solution
In the diagram above are two concentric circles of radii r and R respectively with center O. If r = 2/3R, express the area of the shaded portion in terms of π and R
Attached Figure / Diagram
A
21/25πR2
B
9/25πR2
C
21/23πR2
D
5/9πR2
medium Difficulty
Verified Correct Answer: Option D
Step-by-Step Mathematical Solution
r = \(\frac{2}{3}\)R
∴R = \(\frac{3}{3}\)R
Area of small circle = πr2
= π(\(\frac{2R}{3}\))2
Area of the big circle πr2 = π\(\frac{(3R)^2}{3}\)
Area of shaded portion = π(\(\frac{3R}{3}\))2 - π(\(\frac{2R}{3}\))2
= π[(\(\frac{3R}{3}\))2 - (\(\frac{2R}{3}\))2]
= π[(\(\frac{3R}{3}) + (\frac{2R}{3}) - (\frac{3R}{3}\)) - (\(\frac{2R}{3}\))]
= π[(\(\frac{5R}{3}\)) (\(\frac{R}{3}\))]
= π x \(\frac{5R}{3}\) x \(\frac{R}{3}\)
= 5/9πR2
Source: Myschool Past Questions Archive (Record #10928)
Mathematics
UTME / JAMB 2002
Mensuration (Areas, Perimeters & Volumes)
Diagram
Solution
In the diagram above, a cylinder is summounted by a hemisphere bowl. Calculate the volume of the solid.
Attached Figure / Diagram
A
180 πcm3
B
162 πcm3
C
216 πcm3
D
198 πcm3
medium Difficulty
Verified Correct Answer: Option D
Step-by-Step Mathematical Solution
Volume of cylinder = πr2h
= π x 32 x 20
= π x 9 x 20
= 180 πcm3
Volume of hemisphere = 2/3πr3
= 2/3 x π x 32
= 2 x π x 32
= 2 x π x 9
= 18π
= Volume of the solid = 180π x 18π
= 198πcm3
Source: Myschool Past Questions Archive (Record #10929)
Mathematics
UTME / JAMB 2002
Plane Geometry, Polygons & Circle Theorems
Diagram
Solution
The triangle PQR above is
Attached Figure / Diagram
A
an obtuse-angled triangle
B
a scalene triangle
C
an isosceles triangle
D
an equilateral triangle
medium Difficulty
Verified Correct Answer: Option C
Step-by-Step Mathematical Solution
∠PQR = 180 - 128 (∠s on a straight line)
= 52o
∠QPR + 76 + 52 = 180(extr ∠ = sum of intr. opp ∠s)
∠QPR + 128 = 180
∠QPR = 180 - 128
= 52o
∴ΔPQR is an isosceles triangle
Source: Myschool Past Questions Archive (Record #10930)
Mathematics
UTME / JAMB 2002
Plane Geometry, Polygons & Circle Theorems
Solution
No. of days
1
2
3
4
5
6
No. of students
20
x
50
40
2x
60
The distribution above shows the number of days a group of 260 students were absents from school in a particular term. How many students were absent for at least four days in the term
A
210
B
40
C
120
D
160
medium Difficulty
Verified Correct Answer: Option D
Step-by-Step Mathematical Solution
20 + X + 50 + 40 + 2X + 60 = 260
3X + 170 = 260
3X = 260 - 170
3x = 90
x = 30
Absent for at least 4 days
4
5
6
40
2x
60
i.e 40 + 2x + 60 = 40 + (2 x 30) + 60
= 40 + 60 + 60
= 160
Source: Myschool Past Questions Archive (Record #10931)
English Language
UTME / JAMB 2002
Antonyms (Opposite in Meaning)
Choose the option opposite in meaning to the underlined word(s).
The witness averred that had seen Dosun at the scene of the crime?
A
argued
B
confirmed
C
denied
D
affirmed
medium Difficulty
Verified Correct Answer: Option C
Grammar & Contextual Explanation
No expanded working has been attached for this question yet. The verified answer is Option C.
Source: Myschool Past Questions Archive (Record #11554)
English Language
UTME / JAMB 2002
Antonyms (Opposite in Meaning)
Choose the option opposite in meaning to the underlined word(s).
The high cost of living these days calls for a lot of frugality?
A
extravagance
B
economy
C
recklessness
D
prudence
medium Difficulty
Verified Correct Answer: Option A
Grammar & Contextual Explanation
No expanded working has been attached for this question yet. The verified answer is Option A.
Source: Myschool Past Questions Archive (Record #11556)
English Language
UTME / JAMB 2002
Antonyms (Opposite in Meaning)
Choose the option opposite in meaning to the underlined word(s).
Tunde's reaction underscores the point I was making?
A
justifies
B
emphasizes
C
summarizes
D
contradicts
medium Difficulty
Verified Correct Answer: Option D
Grammar & Contextual Explanation
No expanded working has been attached for this question yet. The verified answer is Option D.
Source: Myschool Past Questions Archive (Record #11557)
English Language
UTME / JAMB 2002
Antonyms (Opposite in Meaning)
Solution
Choose the option opposite in meaning to the underlined word(s).
Everyone admired the manager's adroit handling of the crises in the company.
A
clever
B
tactless
C
skilful
D
clumsy
medium Difficulty
Verified Correct Answer: Option D
Grammar & Contextual Explanation
The word “adroit” means skilful, clever, or tactful in handling a situation.
The opposite of this would be someone who handles matters badly or awkwardly.
Source: Myschool Past Questions Archive (Record #11560)
English Language
UTME / JAMB 2002
Antonyms (Opposite in Meaning)
Choose the option opposite in meaning to the underlined word(s).
The principal took exception to the ignoble role the teacher played in the matter?
A
embarrassing
B
honourable
C
extraordinary
D
dishonourable
medium Difficulty
Verified Correct Answer: Option B
Grammar & Contextual Explanation
No expanded working has been attached for this question yet. The verified answer is Option B.
Source: Myschool Past Questions Archive (Record #11563)
English Language
UTME / JAMB 2002
Antonyms (Opposite in Meaning)
Solution
Choose the option opposite in meaning to the underlined word(s).
He is notorious for his drunkenness
A
popular
B
unknown
C
well known
D
renowned
medium Difficulty
Verified Correct Answer: Option D
Grammar & Contextual Explanation
The word "notorious" means being famous or well known for something bad or negative. The opposite of this would be "renowned", which means being famous or well known for something good or positive.
Source: Myschool Past Questions Archive (Record #11565)
English Language
UTME / JAMB 2002
Antonyms (Opposite in Meaning)
Choose the option opposite in meaning to the underlined word(s).
The chairman's conduct redounds to the image of the company?
A
assists in
B
reflects on
C
contributes
D
detracts from
medium Difficulty
Verified Correct Answer: Option D
Grammar & Contextual Explanation
No expanded working has been attached for this question yet. The verified answer is Option D.
Source: Myschool Past Questions Archive (Record #11568)