How good are you with figures and formulas? Find out with these Mathematics past questions and answers. This Test is useful for both job aptitude test candidates and students preparing for JAMB, WAEC, NECO or Post UTME.
Use the graph find the values of p and q if px + qy \(\geq\) 4
p = 2, q = -1
p = -1, q = 2
p = 2, q = 2
p = 1, q = 2
Correct answer is B
m = \(\frac{y_2 - y_1}{x_2 - x_1} = \frac{2 - 0}{0 - (4)} = \frac{2}{4} = \frac{1}{2}\)
\(\frac{y_2 - y_1}{x_2 - x_1} \geq m\)
\(\frac{y - 0}{x + 4} \geq \frac{1}{2}\)
2y \(\geq\) x + 4, -x + 2y \(\geq\) 4 = px + qy \(\geq\) 4
p = -1, q = 2
17
16
15
14
Correct answer is A
\(\begin{array}{c|c} \text{no. of passengers} & \text{Number of taxis}\\ \hline 0.5 - 2.5 & 3\\ 2.5 - 4.5 & 4 \\ 4.5 - 6.5 & 7\\ 6.5 - 8.5 & 5\\ 8.5 - 10.5 & 4 \\ 10.5 - 12.5 & 1\\ \hline \text{Total} & 24 \end{array}\)
Thus, the taxi with more than 4 passengers
= 7 + 5 + 4 + 1 = 17
\(\frac{1}{2}(Q_3 - Q_1)\)
Q3 - Q2
Q3 - Q2
Q3 - Q1
Correct answer is D
No explanation has been provided for this answer.
\(\frac{1}{5}\)
\(\frac{2}{25}\)
\(\frac{4}{15}\)
\(\frac{3}{25}\)
Correct answer is D
\(\begin{array}{c|c} \text{colour of cars} & \text{Number (frequency)} \\ \hline yellow & 3 \\white & 4\\ red & 8\\ green & 2\\ blue & 6\\ black & 2\\ \hline & 25 \\ \hline\end{array}\)
Thus, the fraction of the total numbers that are yellow is \(\frac{3}{25}\)
Find the value of \(\theta\) in the diagram
60o
100o
120o
30o
Correct answer is C
Using cosine formula (t\(\sqrt{3}\))2 = t2 + t2 - 2t2 cos\(\theta\)
3t2 = 2t2 - 2t2 cos\(\theta\) = 2t2(1 - cos\(\theta\))
1 - cos\(\theta\) = \(\frac{3t^2}{2t^2}\) = \(\frac{3}{2}\)
cos = 1 - \(\frac{3}{2} = -\frac{1}{2}\)
\(\theta\) = cos-1(-\(\frac{1}{2}\)) = 120o and 240o
N.B 0 \(\geq\) \(\theta\) 360