1999 - WAEC Mathematics Past Questions and Answers - page 2
11
Calculate the value of Y in the diagram
A
18o
B
42o
C
48o
D
132o
12
In the diagram, POR is a circle with center O. ∠QPR = 50°, ∠PQO = 30° and ∠ORP = m. Find m.
A
20o
B
25o
C
30o
D
50o
13
Given that m = -3 and n = 2 find the value of \(\frac{3n^2 - 2m^3}{m}\)
A
-22
B
-14
C
14
D
22
14
Simplify \(\frac{2-18m^2}{1+3m}\)
A
\(2(1+3m)\)
B
\(2(1+3m^2)\)
C
\(2(1-3m)\)
D
\(2(1-3m^2)\)
15
If \(y = \sqrt{ax-b}\) express x in terms of y, a and b
A
\(x = \frac{y^2-b}{a}\)
B
\(x = \frac{y+b}{a}\)
C
\(x = \frac{y-b}{a}\)
D
\(x = \frac{y^2 + b}{a}\)
16
Given that \(81\times 2^{2n-2} = K, find \sqrt{K}\)
A
\(4.5\times 2^{n}\)
B
\(4.5\times 2^{2n}\)
C
\(9\times 2^{n-1}\)
D
\(9\times 2^{2n}\)
17
Simplify \(\frac{4}{x+1}-\frac{3}{x-1}\)
A
\(\frac{x+7}{x^2 - 1}\)
B
\(\frac{x-7}{x^2 + 1}\)
C
\(\frac{x-7}{x^2 - 1}\)
D
\(\frac{x-11}{x^2 - 1}\)
18
If y varies inversely as x\(^2\), how does x vary with y?
A
x varies inversely as y2
B
x varies inversely as y
C
x varies directly as y2
D
x varies directly as y
19
If \(tan x = \frac{1}{\sqrt{3}}\), find cos x - sin x such that \(0^o \leq x \leq 90^o\)
A
\(\frac{\sqrt{3}+1}{2}\)
B
\(\frac{2}{\sqrt{3}+1}\)
C
\(\frac{\sqrt{3}-1}{2}\)
D
\(\frac{2}{\sqrt{3}-1}\)
20
From the top of a cliff 20m high, a boat can be sighted at sea 75m from the foot of the cliff. Calculate the angle of depression of the boat from the top of the cliff
A
14.9 o
B
15.5 o
C
74.5 o
D
75.1 o
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