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.
0.30
0.50
0.57
1.80
Correct answer is A
P (X or Y) = P(X) + P(Y), when they are independent as given.
0.7 = 0.4 + P(Y)
P(Y) = 0.7 - 0.4 = 0.30
2.50m/s
2.00 m/s
0.25 m/s
0.20 m/s
Correct answer is C
\(V = \frac{2}{3} \pi r^{3}\)
Given: \(\frac{\mathrm d V}{\mathrm d t} = 18\pi m^{3} s^{-1}\)
\(\frac{\mathrm d V}{\mathrm d t} = \frac{\mathrm d V}{\mathrm d r} \times \frac{\mathrm d r}{\mathrm d t}\)
\(\frac{\mathrm d V}{\mathrm d r} = 2\pi r^{2}\)
\(18\pi = 2\pi r^{2} \times \frac{\mathrm d r}{\mathrm d t}\)
\(\frac{\mathrm d r}{\mathrm d t} = \frac{18\pi}{2\pi r^{2}} = \frac{9}{r^{2}}\)
The rate of change of the radius when r = 6m,
\(\frac{\mathrm d r}{\mathrm d t} = \frac{9}{6^{2}} = \frac{1}{4}\)
= \(0.25 ms^{-1}\)
7π cubic units
15π/2 cubic units
8π cubic units
17π/2 cubic units
Correct answer is B
∫30 π(y+1) dy = π[y2 + y30
= π(9/2 + 3) = 15π/2
If y = 2x - sin2x, find dy/dx when x = π/4
π
-π
π/2
-π/2
Correct answer is D
y = 2x cos2x - sin2x
dy/dx = 2 cos2x +(-2x sin2x) - 2 cos2x
= 2 cos2x - 2x sin2x - cos2x
= -2x sin2x
= -2 x (π/4) sin2 x (π/4)
= -(π/2) x 1 = -(π/2)
Find the value of \(\int^{\pi}_{0}\frac{cos^{2}\theta-1}{sin^{2}\theta}d\theta\)
π
π/2
-π/2
-π
Correct answer is D
\(\int^{\pi}_{0}\frac{cos^{2}\theta-1}{sin^{2}\theta}d\theta = \int^{\pi}_{0}\frac{-sin^{2}\theta}{sin^{2}\theta}\\ = \int^{\pi}_{0}d\theta = -\pi\)