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.
\(\alpha\) = 1, \(\beta\) = \(\frac{5}{7}\)
\(\alpha\)= 1, \(\beta\) = -\(\frac{5}{7}\)
\(\alpha\)= \(\frac{3}{5}\), \(\beta\) = -6
\(\alpha\)= 1, \(\beta\) = -\(\frac{3}{5}\)
Correct answer is A
x\(\frac{3}{8}\) x y\(\frac{-6}{7}\) x (\(\frac{y^{\frac{9}{7}}}{x^{\frac{45}{8}}}\))\(\frac{1}{9}\) = \(\frac{y^{\alpha}}{y^{\beta}}\)
x\(\frac{3}{8}\) x y\(\frac{-6}{7}\) x y\(\frac{1}{7}\) = x\(\alpha\)
= x\(\frac{3}{8}\) + \(\frac{5}{8}\) + y\(\frac{6}{7}\) + \(\frac{1}{7}\)
= x\(\alpha\)y\(\beta\)
x1y\(\frac{-5}{7}\) = x\(\alpha\)y\(\beta\)
\(\alpha\) = 1, \(\beta\) = \(\frac{5}{7}\)
Write the equation 2 log2x - x log2(1 + y) = 3 in a form not involving logarithms
2x(1 + y) = 3
2x - x(1 + y) = 8
x2 = 8(1 + y)x
x2 - x(1 + y) = 8
x2 - (1 + y)2 = 8
Correct answer is C
2log2 x - x log2 (1 + y) = 3
log2 \(\frac{x^2}{(1 + y)^x}\) = 3
= \(\frac{x^2}{(1 + y)^x}\)
= 23
= 8
y = x3 and y = 3x2 + x - 28
y = x3 + 3x2 + 4x + 4 and the line y = \(\frac{28}{x}\)
y = x3 + 3x2 + 4x and y
y = x2 + 3x + 4 and y = \(\frac{28}{x}\)
y = x2 + 3x + 4 and line y = 28x
Correct answer is D
The graphical method of solving the equation x3 + 3x2 + 4x - 28 = 0 is by drawing the graphs of the curves
y = x2 + 3x + 4 and y = \(\frac{28}{x}\)`.
The solution of the quadratic equation bx2 + cx + a = 0 is given by
x = b \(\pm\) \(\frac{\sqrt{b^2 - 4ac}}{2a}\)
x = c \(\pm\) \(\frac{\sqrt{b^2 - 4ab}}{2b}\)
x = -c \(\pm\) \(\frac{\sqrt{c^2 - 4ab}}{2b}\)
x = -b \(\pm\) \(\frac{\sqrt{b^2 - 4ac}}{2b}\)
Correct answer is C
bx2 + cx + a = 0
a = b; b = c; c = a
x = -b \(\pm\) \(\frac{\sqrt{b^2 - 4ac}}{2a}\)
x = -c \(\pm\) \(\frac{\sqrt{c^2 - 4ab}}{2b}\)
The factors of 6x - 5 - x2 are
-(x + 3)(x + 2)
(x + 5)(x + 1)
(x - 5)(1 - x)
(x + 1)(x + 5)
Correct answer is C
6x - 5 - x2 = (-1)(-x2 - 5 + 6x) = x2 - 6x + 5 = (x - 5)(x - 1) -(x - 1) = 1 - x = (x - 5)(1 - x)