2012/2013 UNN Mathematics Post-UTME

The letters of the word MATRICULATION are cut and put into a box. One letter is drawn at random from the box. Find the probability drawing a vowel

$\mathrm{Simplify} 3\sqrt{\frac{27{\mathrm{a}}^{–9}}{8}}$

A trader in a country where their currency MONT (M) is in base five bought 103₅ oranges at each what will be his gain? If he sells them at M14₅ each, what will be his gain? If he sells them at M24 each.

$\mathrm{Simplify} \frac{3^{\mathrm{n}} –3^{\mathrm{n}–1}}{3^3 \mathrm{x} 3^{\mathrm{n}} –27 \mathrm{x} 3^{\mathrm{n}–1}}$

A bag contains 4 white balls and 6 red balls. Two balls are taken from the bag without replacement, what is the probability that both balls are red?

$\mathrm{Find} \mathrm{the} \mathrm{reciprocal} \mathrm{of} \frac{2}{{\displaystyle \frac{3}{{\displaystyle \frac{1}{2}}+{\displaystyle \frac{1}{3}}}}}$

In 1984, Ike was 24 years old and his father was 45 years old. In what year was Ike exactly his father’s age?

Convert 241 in base 5 to base 8

Reduce each number to 2 significant figures and then evaluate

$\frac{0.021741 \mathrm{x} 1.2047}{0.023789}$