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Mathematics
WAEC / WASSCE 1992
Trigonometry, Elevation & Bearings
If cos \theta = 5/13, what is the value of tan \(\theta\) for 0 < \theta < 90^\circ ?
A
13
B
5
C
13/5
D
12/5
E
5/12
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 #23168)
Mathematics
WAEC / WASSCE 1992
Trigonometry, Elevation & Bearings
Solution
The value of tan 315^\circ
A
1
B
√2/2
C
o
D
-1
E
-√2/2
medium Difficulty
Verified Correct Answer: Option D
Step-by-Step Mathematical Solution
tan 315^\circ = - tan (360 - 315) = - tan 45
= -1
Source: Myschool Past Questions Archive (Record #23169)
Mathematics
WAEC / WASSCE 1992
Trigonometry, Elevation & Bearings
Solution
The value of sin 210^\circ is
A
\(-\frac{1}{2}\)
B
\(-\frac{\sqrt{3}}{2}\)
C
\(\frac{1}{2}\)
D
\(\frac{\sqrt{2}}{2}\)
E
\(\frac{\sqrt{3}}{2}\)
medium Difficulty
Verified Correct Answer: Option A
Step-by-Step Mathematical Solution
sin 210 = - sin (210 - 180) = - sin 30
= \(-\frac{1}{2}\)
Source: Myschool Past Questions Archive (Record #23170)
Mathematics
WAEC / WASSCE 1992
Plane Geometry, Polygons & Circle Theorems
Town P is on bearing 315o from town Q while town R is south of town P and west of town Q. lf town R is 60km away from Q, how far is R from P?
A
30km
B
42km
C
45km
D
60km
E
120km
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 #23171)
Mathematics
WAEC / WASSCE 1992
Trigonometry, Elevation & Bearings
Solution
A ladder leans against a vertical wall at an angle
60^\circ to the wall, if the foot of the ladder is 5 metres
away from the wall, calculate the length of the
ladder.
A
\(\frac{5\sqrt3}{3}\)m
B
5m
C
\(\frac{10\sqrt3}{3}\)m
D
5√3m
E
10m
medium Difficulty
Verified Correct Answer: Option C
Step-by-Step Mathematical Solution
The ladder makes 60^\circ inclination with the wall and its foot is 5m away from the wall.
Sketching the diagram, you will see that we have
\(sin 60 = \frac{5}{x}\) (where x is the length of the ladder)
⇒ \(x = \frac{5}{sin60}\)
\(x = \frac{10\sqrt{3}}{3}m\)
Source: Myschool Past Questions Archive (Record #23172)
Mathematics
WAEC / WASSCE 1992
Trigonometry, Elevation & Bearings
A cliff on the bank of a river is 300 metres
high. if the angle of depression of a point on the
opposite side of the river is 60° find the width of
the river.
A
100m
B
75√3m
C
100√3m
D
200√3m
E
300m
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 #23173)
Mathematics
WAEC / WASSCE 1992
Statistics (Data Representation, Central Tendency & Dispersion)
Find the median of the following set of scores:
65, 72, 55, 48, 78
A
55
B
60
C
63.5
D
65
E
72
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 #23175)
Mathematics
WAEC / WASSCE 1992
Statistics (Data Representation, Central Tendency & Dispersion)
Diagram
The data above shows the frequency distribution
of marks scored by a group of students in a class
test.
How many students took the test?
Attached Figure / Diagram
A
13
B
14
C
15
D
18
E
20
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 #23176)
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)