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.
If M represents the median and D the mode of the measurements 5, 9, 3, 5, 7, 5, 8 then (M, D) is
(6, 5)
(5, 8)
(5, 7)
(5, 5)
(7, 5)
Correct answer is D
first re-arrange the given data in the form 3, 5, 5, 7, 8, 9 Mean(x) = \(\frac{\sum x}{N}\)
= \(\frac{42}{7}\)
= 6, re-arrange thenumbers,
3, 5, 5| 7, 8, 9 median(D) = 5
(m, d) = (5, 5)
3.40cm
3.58cm
3.56cm
3.62cm
Correct answer is C
\(\begin{array}{c|c} \text{x(mid point)} & f & fx\\ \hline 3.4 & 3 & 10.2 \\ 3.5 & 6 & 21.0\\3.6 & 7 & 25.2\\3.7 & 4 & 14.8\end{array}\)
\(\sum f\) = 20
\(\sum fx\) = 71.2
mean = \(\frac{\sum fx}{\sum f}\)
= \(\frac{71.2}{20}\)
= 3.56
If sin \(\theta\) = \(\frac{x}{y}\) and 0o < 90o then find \(\frac{1}{tan\theta}\)
\(\frac{x}{\sqrt{y^2 - x^2}}\)
\(\frac{y}{x}\)
\(\frac{\sqrt{y^2 + x^2}}{y^2 - x^2}\)
\(\frac{y^2 - x^2}{x}\)
Correct answer is D
\(\frac{1}{tan\theta}\) = \(\frac{cos\theta}{sin\theta}\)
sin\(\theta\) = \(\frac{x}{y}\)
cos\(\theta\) = \(\frac{\sqrt{y^2 - x^2}}{y}\)
The larger value of y for which (y - 1)2 = 4y - 7 is
2
4
6
7
8
Correct answer is B
(y - 1)2 = 4y - 7
y2 - 2xy + 1 = 4y - 7
y2 - 6y + 8 = 0
(y - 4)(y - 2)
y = 4 or 2 = 4
Two fair dice are rolled. What is the probability that both show up the same number of points.
\(\frac{1}{36}\)
\(\frac{7}{36}\)
\(\frac{1}{2}\)
\(\frac{1}{3}\)
\(\frac{1}{6}\)
Correct answer is E
A dice has 6 faces, 2 dice has 6 x 6 = 36 combined face
Prob. of both showing the same number of points
= \(\frac{6}{36}\)
= \(\frac{1}{6}\)