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Mathematics WAEC / WASSCE 1997 Trigonometry, Elevation & Bearings
The angle of elevation of a point T on a tower from a point U on the horizontal ground is 30o. If TU = 54m, how high is T above the horizontal ground?
A
108m
B
72m
C
46.3m
D
31.2m
E
27m
medium Difficulty
Mathematics WAEC / WASSCE 1997 Trigonometry, Elevation & Bearings
Express the true bearing of 250^\circ as a compass bearing
A
N20oE
B
S20oE
C
N20oW
D
S70oW
E
S70oE
medium Difficulty
Mathematics WAEC / WASSCE 1997 Trigonometry, Elevation & Bearings
lf sin \theta= \(\frac{-1}{2}\), find all the values of \theta between 0^\circ and 360^\circ.
A
120o,240o
B
120o180o
C
210o,300o
D
210o,330o
E
300o,360o
medium Difficulty
Mathematics WAEC / WASSCE 1997 Trigonometry, Elevation & Bearings
Cos 65o has the same value as
A
Sin 65o
B
Cos 25o
C
Cos 115o
D
Cos 205o
E
Cos 295o
medium Difficulty
Mathematics WAEC / WASSCE 1997 Trigonometry, Elevation & Bearings
Two sides of a triangle are perpendicular. If the two sides are 8cm and 6cm, calculate correct to the nearest degree, the smallest angle of the triangle.
A
35o
B
36o
C
37o
D
38o
E
53o.
medium Difficulty
Mathematics WAEC / WASSCE 1997 Statistics (Data Representation, Central Tendency & Dispersion)
The graph is the cumulative frequency curve for the weight distribution of 100 workers in a factory. Which of the points P,Q,R,S and T indicates the median weight?
Attached Figure / Diagram
Question diagram
A
T
B
S
C
R
D
Q
E
P
medium Difficulty
Mathematics WAEC / WASSCE 1997 Permutations, Combinations & Probability
A bag contains red, black and green identical balls. A ball is picked and replaced. The table shows the result of 100 trials. Find the experimental probability of picking a green ball.
Attached Figure / Diagram
Question diagram
A
16
B
21/25
C
1/3
D
4/21
E
4/25
medium Difficulty
Mathematics WAEC / WASSCE 1997 Plane Geometry, Polygons & Circle Theorems
The table shows the scores of a group of students in a test. If the average score is 3.5, find the value of x
Attached Figure / Diagram
Question diagram
A
1
B
2
C
3
D
4
E
5
medium Difficulty
Mathematics WAEC / WASSCE 1997 Permutations, Combinations & Probability
What is the probability of having an odd number in a single throw of a fair die with the faces numbered 1,2,3,4,5,6?
A
5/6
B
2/3
C
1/2
D
1/3
E
1/6
medium Difficulty
Mathematics WAEC / WASSCE 1997 Permutations, Combinations & Probability
A bag contains 3 white, 6 red, 5 blue identical balls. A ball is picked at random from bag. What is the probability that is either white or blue?
A
9/14
B
4/7
C
3/7
D
5/14
E
3/14
medium Difficulty
Mathematics UTME / JAMB 1997 Fractions, Decimals, Percentages & Approximations
Find the value of (0.006)3 + (0.004)3 in standard form
A
2.8 x 10-9
B
2.8 x 10-7
C
2.8 x 10-8
D
2.8 x 10-6
medium Difficulty
Mathematics UTME / JAMB 1997 Plane Geometry, Polygons & Circle Theorems
Given that loga2 = 0.693 and loga3 = 1.097, find loga 13.5
A
1.404
B
1.790
C
2.598
D
2.790
medium Difficulty
Mathematics UTME / JAMB 1997 Indices, Logarithms & Surds
If \(8^{\frac{x}{2}} = (2^{\frac{3}{8}})(4^{\frac{3}{4}}\)), find x
A
\(\frac{3}{8}\)
B
\(\frac{3}{4}\)
C
\(\frac{4}{5}\)
D
\(\frac{5}{4}\)
medium Difficulty
Mathematics UTME / JAMB 1997 Indices, Logarithms & Surds
Simplify \(\frac{2\sqrt{3} + 3\sqrt{5}}{3\sqrt{5} - 2\sqrt{3}}\)
A
\(\frac{19 + 4\sqrt{25}}{11}\)
B
\(\frac{19 + 4\sqrt{15}}{11}\)
C
\(\frac{19 + 2\sqrt{15}}{11}\)
D
\(\frac{19 + 2\sqrt{15}}{19}\)
medium Difficulty
Mathematics UTME / JAMB 1997 Fractions, Decimals, Percentages & Approximations
Find the simple interest rate percent per annum at which N1,000 accumulates to N1,240 in 3 years
A
6%
B
8%
C
10%
D
12%
medium Difficulty
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