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Mathematics
WAEC / WASSCE 1992
Statistics (Data Representation, Central Tendency & Dispersion)
Diagram
The data below shows the frequency distribution
of marks scored by a group of students in a class
test.
What is the modal score
Attached Figure / Diagram
A
2
B
3
C
4
D
5
E
6
medium Difficulty
Verified Correct Answer: Option C
Step-by-Step Mathematical Solution
No expanded working has been attached for this question yet. The verified answer is Option C.
Source: Myschool Past Questions Archive (Record #23177)
Mathematics
WAEC / WASSCE 1992
Statistics (Data Representation, Central Tendency & Dispersion)
Diagram
Solution
The data below shows the frequency distribution
of marks scored by a group of students in a class
test.
Find the mean mark.
Attached Figure / Diagram
A
1
B
1.3
C
2
D
3
E
3.8
medium Difficulty
Verified Correct Answer: Option E
Step-by-Step Mathematical Solution
Mean(x) = \(\frac{ ∑fx}{ ∑f}\)
Mean(x) = \(\frac{ 2 \times 2 + 3 \times 4 + 5 \times 4 + 3 \times 5 + 6 \times 1}{ 2 + 3 + 5 + 3 + 1}\)
= \(\frac{57}{15}\) = 3.8
Source: Myschool Past Questions Archive (Record #23178)
Mathematics
WAEC / WASSCE 1992
Statistics (Data Representation, Central Tendency & Dispersion)
Solution
A group of students measured a certain angle
(to the nearest degree) and obtained the following
results: 75o, 76o, 72o, 73o, 74o, 79o, 72o, 72o, 77o,
72o, 71o, 70o, 78o, 73o. Find the mode
A
79o
B
78o
C
74o
D
73o
E
72o
medium Difficulty
Verified Correct Answer: Option E
Step-by-Step Mathematical Solution
mode = 72º
Source: Myschool Past Questions Archive (Record #23179)
Mathematics
WAEC / WASSCE 1992
Plane Geometry, Polygons & Circle Theorems
Solution
Marks
1
2
3
4
5
6
7
8
9
10
No of students
1
3
2
0
1
6
1
0
1
0
The table above shows the scores of 15 students in a Physics test.
How many students scored at least 5?
A
1
B
6
C
8
D
9
E
14
medium Difficulty
Verified Correct Answer: Option D
Step-by-Step Mathematical Solution
No of students that scored at least 5 = 1 + 6 + 1 + 0 + 1 + 0
= 9 students.
Source: Myschool Past Questions Archive (Record #23180)
Mathematics
WAEC / WASSCE 1992
Permutations, Combinations & Probability
Solution
A number is chosen at random from the set (1 ,2,3
....,9, 10). What is the probability that the number
is greater than or equal to 7?
A
1/10
B
3/10
C
2/5
D
3/5
E
7/10
medium Difficulty
Verified Correct Answer: Option C
Step-by-Step Mathematical Solution
The given set {1, 2, 3, 4 ...., 9, 10}
(x ≥ 7 ) = 7 7, 8, 9, 10 = 4
Total number of possible outcome = 10
4/10 = 2/5
Source: Myschool Past Questions Archive (Record #23181)
Mathematics
WAEC / WASSCE 1992
Permutations, Combinations & Probability
Solution
What is the probability of throwing a number greater than 2 with a single fair die
A
1/6
B
1/3
C
1/2
D
2/3
E
5/6
medium Difficulty
Verified Correct Answer: Option D
Step-by-Step Mathematical Solution
If a die is rolled once, the probability of getting a number greater than 2 is \(\frac{2}{3}\).
i.e Pr( number greater than 2) = \(\frac{\text{ no of required outcome}}{\text{total no of expected outcome}}\)
= \(\frac{4}{6} = \frac{2}{3}\)
Source: Myschool Past Questions Archive (Record #23182)
Mathematics
WAEC / WASSCE 1992
Permutations, Combinations & Probability
A fair die is rolled once. What is the probability of
obtaining 4 or 6?
A
1/12
B
1/6
C
1/3
D
1/2
E
2/3
medium Difficulty
Verified Correct Answer: Option C
Step-by-Step Mathematical Solution
No expanded working has been attached for this question yet. The verified answer is Option C.
Source: Myschool Past Questions Archive (Record #23183)
Mathematics
WAEC / WASSCE 1992
Permutations, Combinations & Probability
Solution
Three balls are drawn one after the other with replacement, from a bag containing 5 red, 9white and 4 blue identical balls, What is the probability that they are one red, one white and one blue?
A
5/102
B
5/136
C
5/162
D
5/204
E
5/243
medium Difficulty
Verified Correct Answer: Option C
Step-by-Step Mathematical Solution
Total number of balls = 18
P(1R, 1W, 1B) = 5/18 x 9/18 x 4/18 = 5/162
Source: Myschool Past Questions Archive (Record #23184)
Mathematics
WAEC / WASSCE 1992
Permutations, Combinations & Probability
The data below shows the number of worker?
employed in the various sections of a construction
company in Lagos.
Carpenters 24 Labourers 27
Plumbers 12 Plasterers 15
Painters 9 Messengers 3
Bricklayers 18
If one of the workers is absent on a certain day,
what is the probability that he is a bricklayer?
A
1/12
B
1/9
C
2/9
D
1/6
E
1/4
medium Difficulty
Verified Correct Answer: Option D
Step-by-Step Mathematical Solution
No expanded working has been attached for this question yet. The verified answer is Option D.
Source: Myschool Past Questions Archive (Record #23185)
Mathematics
WAEC / WASSCE 1992
Permutations, Combinations & Probability
The data below shows the number of worker?
employed in the various sections of a construction
company in Lagos.
Carpenters 24 Labourers 27
Plumbers 12 Plasterers 15
Painters 9 Messengers 3
Bricklayers 18
If a worker is retrenched, what is the probability that he is a plumber or plasterer.
A
1/27
B
1/9
C
5/36
D
1/4
E
3/4
medium Difficulty
Verified Correct Answer: Option D
Step-by-Step Mathematical Solution
No expanded working has been attached for this question yet. The verified answer is Option D.
Source: Myschool Past Questions Archive (Record #23186)
Mathematics
UTME / JAMB 1992
Number Bases & Modular Arithmetic
Solution
Find n if 34n = 100112
A
5
B
6
C
7
D
8
medium Difficulty
Verified Correct Answer: Option A
Step-by-Step Mathematical Solution
To find n if 34n = 100112, convert both sides to base 10
= 3n + 4 = (1 x 24) + (0 x23) + (0 x 22) + (1 x 21) + 1 x 2o
= 3n + 4 = 16 + 0 + 0 + 2 + 1
3n + 4 = 19
3n = 15
n = 5
Source: Myschool Past Questions Archive (Record #31291)
Mathematics
UTME / JAMB 1992
Fractions, Decimals, Percentages & Approximations
Solution
The radius of a circle is given as 5cm subject to an error of 0.1cm. What is the percentage error in the area of the circle?
A
\(\frac{1}{25}\)
B
\(\frac{1}{4}\)
C
4
D
25
medium Difficulty
Verified Correct Answer: Option C
Step-by-Step Mathematical Solution
% error in Area = \(\frac{\pi(5.1)^2 - \pi(5)^2 \times 100%}{\pi(5)^2}\)
= \(\frac{\pi 26.01 - 25 \times 100%}{\pi(25)}\)
= \(\frac{1.01}{25}\) x 100%
= 4.04%
Source: Myschool Past Questions Archive (Record #31292)
Mathematics
UTME / JAMB 1992
Indices, Logarithms & Surds
Solution
Evaluate \(\log_{b} a^{n}\) if \(b = a^{\frac{1}{n}}\).
A
n2
B
n
C
\(\frac{1}{n}\)
D
\(\frac{1}{n^2}\)
medium Difficulty
Verified Correct Answer: Option A
Step-by-Step Mathematical Solution
Let \(\log_{b} a^{n} = x\)
\(\therefore a^{n} = b^{x}\)
\(a^{n} = (a^{\frac{1}{n}})^{x}\)
\(a^{n} = a^{\frac{x}{n}} \implies n = \frac{x}{n}\)
\(x = n^{2}\)
Source: Myschool Past Questions Archive (Record #31293)
Mathematics
UTME / JAMB 1992
Indices, Logarithms & Surds
Solution
What is the value of x satisfying the equation \(\frac{4^{2x}}{4^{3x}}\) = 2?
A
-2
B
-\(\frac{1}{2}\)
C
\(\frac{1}{2}\)
D
2
medium Difficulty
Verified Correct Answer: Option B
Step-by-Step Mathematical Solution
\(\frac{4^{2x}}{4^{3x}}\) = 2
42x - 3x = 2
4-x = 2
(22)-x
= 21
Equating coefficients: -2x = 1
x = -\(\frac{1}{2}\)
Source: Myschool Past Questions Archive (Record #31294)
Mathematics
UTME / JAMB 1992
Indices, Logarithms & Surds
Solution
Simplify \(\frac{(1.25 \times 10^{-4}) \times (2.0 \times 10^{-1})}{(6.25 \times 10^5)}\)
A
4.0 x 10-11
B
5.0 x 10-2
C
2.0 x 10-1
D
5.0 x 10-3
medium Difficulty
Verified Correct Answer: Option A
Step-by-Step Mathematical Solution
\(\frac{(1.25 \times 10^{-4}) \times (2.0 \times 10^{-1})}{(6.25 \times 10^5)}\) = \(\frac{1.25 \times 2}{6.25}\) x 10\(^{-4 - 1 - 5}\)
\(\frac{2.50}{6.25}\) x 10\(^{-10}\) = \(\frac{250}{625}\) x 10\(^{-10}\)
0.4 x 10\(^{-10}\) = 4.0 x 10\(^{-11}\)
Source: Myschool Past Questions Archive (Record #31295)