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.
Given that a = log 7 and b = \(\log\) 2, express log 35 in terms of a and b.
a + b + 1
ab - 1
a - b + 1
b - a + 1
Correct answer is C
\(\frac{\log 7 \times \log 10}{\log 2}\)
log 7 x log 10 \(\div\) log 2
a + 1 - b
a - b + 1
iii only
i and ii
ii and iii only
i, ii and iii
Correct answer is A
M = {3, 4, 5, 6, 7,}, N = {9, 10, 11, 12}
1 : 4
1 : 5
2 : 5
5 : 2
Correct answer is C
Tunde: Ola \(\to\) 1 : 2 ; Ola; Musa \(\to\) 4 : 5
\(\frac{1}{2}\) x \(\frac{4}{5}\)
= \(\frac{2}{5}\)
Evaluate \(\frac{3\frac{1}{4} \times 1\frac{3}{5}}{11\frac{1}{3} - 5 \frac{1}{3}}\)
\(\frac{14}{15}\)
\(\frac{13}{15}\)
\(\frac{4}{5}\)
\(\frac{11}{15}\)
Correct answer is B
\(\frac{3\frac{1}{4} \times 1\frac{3}{5}}{11\frac{1}{3} - 5 \frac{1}{3}}\) = \(\frac{\frac{26}{5}}{\frac{18}{3}}\) = \(\frac{26}{5} \div \frac{18}{3}\)
= \(\frac{13}{15}\)
If x varies inversely as y and y varies directly as z, what is the relationship between x and z?
x \(\alpha\) z
x \(\alpha\) \(\frac{1}{z}\)
a \(\alpha\) z\(^2\)
x \(\alpha\) \(\frac{1}{z^2}\)
Correct answer is B
\(x \propto \frac{1}{y}\), y \(\propto\) z
x = \(\frac{k}{y}\)
y = mz
Since y = mz,
x = \(\frac{k}{mz}\), where k and m are constants. Hence,
x \(\propto\) \(\frac{1}{z}\)