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 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
= \(\frac{6}{36}\)
= \(\frac{1}{6}\)
A right circular cone has a base radius r cm and a vertical angle 2yo. The height of the cone is
r tan yo cm
r sin yo cm
r cot yo cm
r cos yo cm
r cosec yo cm
Correct answer is C
\(\frac{r}{h}\) = tan yo
h = \(\frac{r}{tan y^o}\)
= r cot yo
30
32
55
62
92
Correct answer is E
If y = cf(x)
cf(5) = 30 + 32 + 30
= 92