2010 - WAEC Mathematics Past Questions and Answers - page 2
11
A rectangle has length xcm and width (x - 1)cm. If the perimeter is 16cm. Find the value of x
A
3\(\frac{1}{2}\)cm
B
4cm
C
4\(\frac{1}{2}\)cm
D
5cm
12
Given that tan x = 1, where 0o \(\geq\) x 90o, evaluate \(\frac{1 - \sin^2 x}{\cos x}\)
A
2\(\sqrt{2}\)
B
\(\sqrt{2}\)
C
\(\frac{\sqrt{2}}{2}\)
D
\(\frac{1}{2}\)
13
What is the length of a rectangular garden whose perimeter is 32cm and area 39cm2?
A
25cm
B
18cm
C
13cm
D
9cm
14
Simplify \(\frac{2}{2 + x} + \frac{2}{2 - x}\)
A
\(\frac{4}{4 - x^3}\)
B
\(\frac{8}{4 - x^2}\)
C
\(\frac{4x}{4 - x^2}\)
D
\(\frac{8 - 4x}{4 - x^2}\)
15
Solve the inequality: 3(x + 1) \(\leq\) 5(x + 2) + 15
A
x \(\geq\) -14
B
x \(\leq\) - 14
C
x \(\geq\) -11
D
x \(\leq\) - 11
16
An empty rectangular tank is 250cm long and 120cm wide. If 180 litres of water is poured into the tank. Calculate the height of the water
A
6.0cm
B
5.5cm
C
5.0cm
D
4.5cm
17
Given that \(\frac{5^{n +3}}{25^{2n -2}}\) = 5o, find n
A
n = 1
B
n = 2
C
n = 3
D
n = 5
18
\(\begin{array}{c|c} \text{No. of pets} & 0 & 1 & 2 & 3 & 4 \ \hline \text{No. of students} & 8 & 4 & 5 & 10 & 3\end{array}\) The table shows the number of pets kept by 30 students in a class. If a student is picked at random ftom the class. What is the probability that he/she kept more than one pet?
A
\(\frac{1}{5}\)
B
\(\frac{2}{5}\)
C
\(\frac{3}{5}\)
D
\(\frac{4}{5}\)
19
Simplify 2\(\sqrt{3}\) - \(\frac{6}{\sqrt{3}} + \frac{3}{\sqrt{27}}\)
A
1
B
\(\frac{1}{3}\sqrt{3}\)
C
2\(\sqrt{3} - 5\frac{2}{3}\)
D
6\(\sqrt{3}\) - 17
20
If sin 3y = cos 2y and 0o \(\leq\) 90o, find the value of y
A
18o
B
36o
C
54o
D
90o
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