2000 - WAEC Mathematics Past Questions and Answers - page 3
21
The probabilities that Kodjo and Adoga pass an examination are \(\frac{3}{4}\) and \(\frac{3}{5}\) respectively. Find the probability of both boys failing the examination
A
\(\frac{1}{10}\)
B
\(\frac{3}{10}\)
C
\(\frac{9}{20}\)
D
\(\frac{2}{3}\)
22
Which of the following statement is not true about a rectangle? I.Each diagonal cuts the rectangle into two congruent triangles. II. A rectangle has four lines of symmetry III. The diagonals intersect at right angles
A
I and II only
B
III only
C
II only
D
II and III only
23
In the diagram, PQRS is a circle center O. PQR is a diameter and ∠PRQ = 40°. Calculate ∠QSR.
A
30o
B
40o
C
45o
D
50o
24
Each side of a regular convex polygon subtends an angle of 30° at its center. Calculate each interior angle
A
75o
B
150o
C
160o
D
68o
25
If the interior angles of hexagon are 107°, 2x°, 150°, 95°, (2x-15)° and 123°, find x.
A
\(57\frac{1}{2}^{\circ}\)
B
\(65^{\circ}\)
C
\(106^{\circ}\)
D
\(120^{\circ}\)
26
In the diagram, POS and ROT are straight lines, OPQR is a parallelogram. |OS| = |OT| and ∠OST = 50°. Calculate ∠OPQ.
A
160o
B
140o
C
120o
D
100o
27
Given that \(x = -\frac{1}{2}and \hspace{1mm} y = 4 \hspace{1mm} evaluate \hspace{1mm} 3x^2y+xy^2\)
A
-5
B
-1
C
4
D
11
28
Given that \(27^{(1+x)}=9,)\ find x
A
-3
B
\(\frac{-1}{3}\)
C
\(\frac{5}{3}\)
D
2
29
If x varies inversely as y and \(x = \frac{2}{3}\) when y = 9, find the value of y when \(x=\frac{3}{4}\)
A
\(\frac{1}{18}\)
B
\(\frac{8}{81}\)
C
\(\frac{9}{2}\)
D
8
30
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
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