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.
Divide 2x\(^{3}\) + 11x\(^2\) + 17x + 6 by 2x + 1.
x2 + 5x + 6
2x2 + 5x - 6
2x2 + 5x + 6
x2 - 5x + 6
Correct answer is A
No explanation has been provided for this answer.
Make \(\frac{a}{x}\) the subject of formula \(\frac{x + 1}{x - a}\) = m
\(\frac{m - 1}{m + 1}\)
\(\frac{m + 1}{1 - m}\)
\(\frac{m - 1}{1 + m}\)
\(\frac{m + 1}{m - 1}\)
Correct answer is A
\(\frac{x + a}{x - a}\) = m
x + a = mx - ma
a + ma = mx - x
a(m + 1) = x(m - 1)
\(\frac{a}{x}\) = \(\frac{m - 1}{m + 1}\)
Solve for the equation \(\sqrt{x}\) - \(\sqrt{(x - 2)}\) - 1 = 0
\(\frac{3}{2}\)
\(\frac{2}{3}\)
\(\frac{4}{9}\)
\(\frac{9}{4}\)
Correct answer is D
\(\sqrt{x}\) - \(\sqrt{(x - 2)}\) - 1 = 0
= \(\sqrt{x}\) - \(\sqrt{(x - 2)}\) = 1
= (\(\sqrt{x}\) - \(\sqrt{(x - 2)}\))2 = 1
= x - 2 \(\sqrt{x(x - 2)}\) + x -2 = 1
= (2x - 3)2 = [2 \(\sqrt{x(x - 4)}\)]2
= 4x2 - 12x + 9
= 4(x2 - 2x)
= 4x2 - 12x + 9
= 4x2 - 8x
4x = 9
x = \(\frac{9}{4}\)
Factorize r2 - r(2p + q) + 2pq
(r - 2q)(2r - p)
(r - p)(r + p0
(r - q)(r - 2p)
(2r - q)(r + p)
Correct answer is C
r2 - r(2p + q) + 2pq = r2 - 2pr -qr + 2pq
= r(r - 2p) - q(r - 2p)
= (r - q)(r - 2p)
2, -1
-1, 2
3, -2
-2, 3
Correct answer is B
pm2 + qm + 1 = (m - 1) Q(x) + 2
p(1)2 + q(1) + 1 = 2
p + q + 1 = 2
p + q = 1.....(i)
pm2 + qm + 1 = (m - 1)Q(x) + 4
p(-1)2 + q(-1) + 1 = 4
p - q + 1 = 4
p - q = 3....(ii)
p + q = 1, p - q = -3
2p = -2, p = -1
-1 + q = 1
q = 2