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Mathematics WAEC / WASSCE 1997 Geometry and Trigonometry
Which of the following statements is/are true when two straight lines intersect? I. Adjacent angles are equal II. Vertically opposite angles are equal III. Adjacent angles are supplementary
A
II only
B
I and III only
C
II and III only
D
I, II and III
E
I and II
medium Difficulty
Mathematics WAEC / WASSCE 1997 Geometry and Trigonometry
From the diagram above, which of the following is true?
Attached Figure / Diagram
Question diagram
A
a +b + x =180
B
a = b + x
C
a – b = 180 - x
D
a + b = x + 180
E
a – b = x - 180.
medium Difficulty
Mathematics WAEC / WASSCE 1997 Geometry and Trigonometry
The interior angles of a pentagon are 126o, 114o, y, 92o and 83o. Find the value of y.
A
85o
B
95o
C
105o
D
115o
E
125o
medium Difficulty
Mathematics WAEC / WASSCE 1997 Geometry and Trigonometry
O is the centre of the circle PQRS. PR and QS intersect at T POR is a diameter, ∠PQT = 42o and ∠QTR = 64o; Find ∠QRT
Attached Figure / Diagram
Question diagram
A
68o
B
64o
C
42o
D
32o
E
22o.
medium Difficulty
Mathematics WAEC / WASSCE 1997 Geometry and Trigonometry
TR is the tangent to the circle PQR with centre O. Find the size of ∠PRT
Attached Figure / Diagram
Question diagram
A
44o
B
46o
C
60o
D
74o
E
118o
medium Difficulty
Mathematics WAEC / WASSCE 1997 Geometry and Trigonometry
If two triangles are similar, which of the following is true? Their
A
corresponding sides are equal
B
corresponding angles are equal
C
corresponding altitudes are equal
D
areas are equal
E
perimeters are equal
medium Difficulty
Mathematics WAEC / WASSCE 1997 Geometry and Trigonometry
Which of the following is not necessarily true of a rectangle?
A
The diagonals are equal
B
The diagonals bisect each other
C
The diagonals are perpendicular
D
Each diagonal divides the area of the rectangle equally
E
Each diagonal divides the rectangle into two congruent triangles
medium Difficulty
Mathematics WAEC / WASSCE 1997 Geometry and Trigonometry
A chord is 5cm from the centre of a circle of diameter 26cm. Find the length of the chord
A
16cm
B
18cm
C
24cm
D
25.51cm
E
51.1cm
medium Difficulty
Mathematics WAEC / WASSCE 1997 Geometry and Trigonometry
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 Geometry and Trigonometry
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 Geometry and Trigonometry
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 Geometry and Trigonometry
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 Geometry and Trigonometry
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 Geometry and Trigonometry
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 Geometry and Trigonometry
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
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