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 f(x - 4) = x2 + 2x + 3, Find, f(2)
6
11
27
51
Correct answer is D
f(x - 4) = x2 + 2x + 3
To find f(2) = f(x - 4)
= f(2)
x - 4 = 2
x = 6
f(2) = 62 + 2(6) + 3
= 36 + 12 + 3
= 51
If a = 2, b = -2 and c = -\(\frac{1}{2}\), evaluate (ab2 - bc2)(a2c - abc)
2
-28
-30
-34
Correct answer is D
(ab2 - bc2)(a2c - abc)
[2(2)2 - (- 2x\(\frac{1}{2}\))] [22(-\(\frac{1}{2}\)) - 2(-2)(-\(\frac{1}{2}\))]
[8 = \(\frac{1}{2}\)][-2 - 2] = \(\frac{17}{2}\) x 42
= -34
Simplify (\(\frac{1}{x^{-1}} + \frac{1}{y^{-1}}\))-1
\(\frac{x}{y}\)
xy
\(\frac{x}{y}\)
(xy)-1
Correct answer is C
Simplify (\(\frac{1}{x^{-1}} + \frac{1}{y^{-1}}\))-1 = (\(\frac{1}{x^{-1}} + \frac{1}{y^{-1}}\))-1
= (x + y)-1 = \(\frac{(x)}{y}\)
= \(\frac{x}{y}\)
Simplify 3 log69 + log612 + log664 - log672
5
7776
log631
(7776)6
Correct answer is A
3 log69 + log612 + log664 - log672
= log693 + log612 + log664 - log672
log6729 + log612 + log664 - log672
log6(729 x 12 x 64) = log6776
= log665 = 5 log66 = 5
N.B: log66 = 1
Simplify \(\sqrt{27}\) + \(\frac{3}{\sqrt{3}}\)
4\(\sqrt{3}\)
\(\frac{4}{\sqrt{3}}\)
3\(\sqrt{3}\)
\(\frac{\sqrt{3}}{4}\)
Correct answer is A
\(\sqrt{27}\) + \(\frac{3}{\sqrt{3}}\)
= \(\sqrt{9 \times 3}\) + \(\frac{3 \times {\sqrt{3}}}{{\sqrt{3}} \times {\sqrt{3}}}\)
= 3\(\sqrt{3}\) + \(\sqrt{3}\)
= 4\(\sqrt{3}\)