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Chemistry
WAEC / WASSCE 2000
Periodic Table & Periodicity
Solution
What are the values of x and y in the following equation? \(^{234}_{90}\)Th → \(^y_x\)Pa + ß- particle
A
91
234
B
92 235
C
89
235
D
88
238
medium Difficulty
Verified Correct Answer: Option A
Chemical Principles & Mechanism
Beta particles are fast moving streams of electron, having a mass number of 0 and atomic number as -1. If Thorium undergoes radioactivity to emit a beta particle, it means mass number of the new element Pa will be unchanged but the atomic number will be increased by 1. i.e 91. Thus, y = 234-0 = 234, while x = 90 - (-1) = 90 +1 = 91. Option A is the correct answer
Source: WAEC / JAMB / NECO Classroom Archive (Record #36757)
Chemistry
WAEC / WASSCE 2000
Non-Metals & Their Compounds
Solution
What is the effect of using vanadium (V) oxide as catalyst in the reaction represented by the following equation? 2SO2 + O2 ⇌ 2SO3; ∆H = - xKJmol-1
A
Decreases the value of ∆H
B
Increases the collision rate of reactant particles
C
Shifts equilibrium position to the right
D
Reduces the time for attainment of equilibrium
medium Difficulty
Verified Correct Answer: Option D
Chemical Principles & Mechanism
In the contact process above; a temperature of about 500ºC and use of Vanadium(V)Oxide catalyst increase the reaction rate and enable equilibrium to be reached in a shorter time.
Source: WAEC / JAMB / NECO Classroom Archive (Record #36774)
Chemistry
UTME / JAMB 2000
Non-Metals & Their Compounds
Solution
In which order are the following salts sensitive to light?
A
Agl > AgCl > AgBr
B
AgCl > Agl > AgBr
C
AgBr > AgCl > Agl
D
AgCl > AgBr > Agl
medium Difficulty
Verified Correct Answer: Option D
Chemical Principles & Mechanism
Silver halides are chemical compounds that are formed when silver reacts with halogens. They are used in photographic film and paper because they react with light to form an image. Silver chloride and silver bromate are the most sensitive to light among the three most common silver halide compounds.However, the order of sensitivity to light is in the order of their reactivity as you go down the group in the periodic table. AgCl > AgBr > AgI. The correct answer is option D
Source: WAEC / JAMB / NECO Classroom Archive (Record #1534)
Chemistry
UTME / JAMB 2000
Metals, Transition Elements & Extraction
Solution
The least easily oxidized of the metals below is?
A
Ca
B
Na
C
Zn
D
Al
medium Difficulty
Verified Correct Answer: Option C
Chemical Principles & Mechanism
The activity series is a type of ordering system for elements, which ranks how reactive a certain element is in relation to other elements.
The order of reactivity of metals is as follows, Potassium > Sodium > Lithium > Calcium > Magnesium > Aluminium > Zinc > Iron > Copper >
Source: WAEC / JAMB / NECO Classroom Archive (Record #1567)
Mathematics
WAEC / WASSCE 2000
Plane Geometry, Polygons & Circle Theorems
Diagram
Solution
In the diagram, PQRS is a circle center O. PQR is a diameter and ∠PRQ = 40^\circ. Calculate ∠QSR.
Attached Figure / Diagram
A
30o
B
40o
C
45o
D
50o
medium Difficulty
Verified Correct Answer: Option D
Step-by-Step Mathematical Solution
< Q = < R (OQ = OR = radii)
< QOR = 180^\circ - 2(40^\circ) = 100^\circ
< QSR = < RPQ = \(\frac{1}{2}\) < QOR
= \(\frac{100}{2} = 50^\circ\)
Source: Myschool Past Questions Archive (Record #26446)
Mathematics
WAEC / WASSCE 2000
Plane Geometry, Polygons & Circle Theorems
Solution
Each side of a regular convex polygon subtends an angle of 30^\circ at its center. Calculate each interior angle
A
75o
B
150o
C
160o
D
68o
medium Difficulty
Verified Correct Answer: Option B
Step-by-Step Mathematical Solution
From the figure above
In △BOC, 2x + 30º = 180º
Therefore, x = \(\frac{180º - 30º}{2}\) = 75º
Each interior angle = 2 times x = 2 x 75 = 150º
OR
To calculate the interior angle of a regular convex polygon where each side subtends an angle of \(30^\circ\) at the center, we follow these steps:
Determine the number of sides (n)
The angle subtended at the center by each side is given as \(30^\circ\). The total angle around a point is \(360^\circ\).
\(n = \frac{360^\circ}{30^\circ}\) = 12
So, the polygon has 12 sides.
Calculate the interior angle.
The formula for the interior angle A of a regular polygon is:
\(A = \frac{(n - 2) \times 180^\circ}{n}\)
Substituting n = 12:
\(A = \frac{(12 - 2) \times 180^\circ}{12} = \frac{10 \times 180^\circ}{12} = \frac{1800^\circ}{12} = 150^\circ\)
Each interior angle of the regular convex polygon is \(150^\circ\).
Source: Myschool Past Questions Archive (Record #26447)
Mathematics
WAEC / WASSCE 2000
Indices, Logarithms & Surds
Solution
Given that \(27^{(1+x)}=9,)\ find x
A
-3
B
\(\frac{-1}{3}\)
C
\(\frac{5}{3}\)
D
2
medium Difficulty
Verified Correct Answer: Option B
Step-by-Step Mathematical Solution
\(27^{(1+x)}\) = 9
\(3^{3(1+x)} = 3^2\)
3(1+x) = 2
3 + 3x = 2
3x = -1
x = \(\frac{-1}{3}\)
Source: Myschool Past Questions Archive (Record #26451)
Mathematics
WAEC / WASSCE 2000
Linear, Simultaneous & Quadratic Equations
Solution
Given that (2x + 7) is a factor of \(2x^2 + 3x - 14\), find the other factor
A
x + 2
B
2 - x
C
x - 2
D
x + 1
medium Difficulty
Verified Correct Answer: Option C
Step-by-Step Mathematical Solution
\(2x^2 + 3x - 14\)
\(2x^2 + 7x - 4x - 14\)
\(x(2x + 7) - 2(2x + 7)\)
= \((x - 2)(2x + 7)\)
The other factor = (x - 2).
Source: Myschool Past Questions Archive (Record #26453)
English Language
UTME / JAMB 2000
Oral English: Vowel & Consonant Sounds
Solution
Choose the option that has the same vowel sound as the one represented by the letters underlined.
boat
A
board
B
bought
C
go
D
glory
medium Difficulty
Verified Correct Answer: Option C
Grammar & Contextual Explanation
boat - /bəʊt/
board - /bɔːd/
bought - /bɔːt/
go - /ɡəʊ/
glory - /ˈɡlɔː.ri/
Source: Myschool Past Questions Archive (Record #11278)
English Language
UTME / JAMB 2000
Oral English: Vowel & Consonant Sounds
Solution
Choose the option that has the same vowel sound as the one represented by the letters underlined.
Air
A
heir
B
her
C
hear
D
fire
medium Difficulty
Verified Correct Answer: Option A
Grammar & Contextual Explanation
air and heir are both nouns with the same vowel sounds pronounced as /eə/
Source: Myschool Past Questions Archive (Record #11279)
English Language
UTME / JAMB 2000
Oral English: Vowel & Consonant Sounds
Solution
Choose the option that has the same vowel sound as the one represented by the letters underlined.
Pleasure
A
pliable
B
pleat
C
plenary
D
jeopardy
medium Difficulty
Verified Correct Answer: Option D
Grammar & Contextual Explanation
pleasure is pronounced as [ˈpleʒə], our area of emphasis is on the ''ea'' sound which goes thus ''e''.
pliable--- [ˈplʌɪəb(ə)l]
pleat----- [pliːt]
plenary-- [ˈpliːnəri]
jeopardy--- [ˈdʒepədi]. from the list of possible pronunciations above, you can see that only jeopardy [ˈdʒepədi] has the vowel sound ''e'' and it is therefore the correct answer to the question.
Source: Myschool Past Questions Archive (Record #11280)
English Language
UTME / JAMB 2000
Oral English: Vowel & Consonant Sounds
Solution
Choose the option that has the same vowel sound as the one represented by the letters underlined.
Thunder
A
prefer
B
differ
C
confer
D
defer
medium Difficulty
Verified Correct Answer: Option B
Grammar & Contextual Explanation
Thunder |ˈ\thetaʌndə|
(a) prefer |prɪˈfɜː|
(b) differ |ˈdɪfə|
(c) confer |kənˈfɜː|
(d) defer |dɪˈfɜː|
Source: Myschool Past Questions Archive (Record #11281)
English Language
UTME / JAMB 2000
Oral English: Vowel & Consonant Sounds
Solution
Choose the option that has the same vowel sound as the one represented by the letters underlined.
Tear (noun)
A
dare
B
care
C
here
D
wear
medium Difficulty
Verified Correct Answer: Option C
Grammar & Contextual Explanation
The noun tear is pronounced as /tɪə/
dare - /deə/
care - /keə/
here - /hɪə/
wear - /weə/
Source: Myschool Past Questions Archive (Record #11282)
English Language
UTME / JAMB 2000
Oral English: Vowel & Consonant Sounds
Solution
Choose from the options the word that has the same consonant sound as the one represented by the underlined.
Thought
A
theatre
B
taught
C
weather
D
fate
medium Difficulty
Verified Correct Answer: Option A
Grammar & Contextual Explanation
Both thought and theater have similar consonant sounds at the beginning. The 'th' is pronounced alike with the tip of the tongue in between the front teeth. Hence we have;
thought: /\thetaɔːt/
theatre: /ˈ\thetaɪətə/
Source: Myschool Past Questions Archive (Record #11283)
English Language
UTME / JAMB 2000
Oral English: Vowel & Consonant Sounds
Solution
Choose from the options the word that has the same consonant sound as the one represented by the underlined.
Caliph
A
presently
B
perhaps
C
powerful
D
opponent
medium Difficulty
Verified Correct Answer: Option C
Grammar & Contextual Explanation
caliph; /ˈkeɪlɪf,ˈkalɪf/
powerful; /ˈpaʊəfʊl,ˈpaʊəf(ə)l/
Source: Myschool Past Questions Archive (Record #11284)