Mathematics Past Questions and Answers

22\(\frac{1}{2}\)% of the Nigerian Naira is equal to 17\(\frac{1}{10}\)% of a foreign currency M. What is the conversion rate of the M to the Naira?

A 1M = 1\(\frac{15}{57}\)N
B 1M = 38\(\frac{1}{4}\)N
C 1M = 1\(\frac{18}{57}\)N
D 1M = 384\(\frac{3}{4}\)N

Question 12:

Find the values of p for which the equation x² - (p - 2)x + 2p + 1 = 0

A (21, 0)
B (0, 12)
C (1, 2)
D (3, 4)
E (4, 5)

Question 13:

If \(e^{x} = 1 + x + \frac{x^{2}}{1.2} + \frac{x^{3}}{1.2.3} + ... \), find \(\frac{1}{e^{\frac{1}{2}}}\)

A 1 - \(\frac{x}{2}\) + \(\frac{x^2}{1.2^3}\) + \(\frac{x^3}{2^4.3}\) + .........
B 1 - \(\frac{x}{2}\) + \(\frac{x^2}{1.2^3}\) + \(\frac{x^4}{2.4.3}\) + ..
C 1 + \(\frac{x}{2}\) + \(\frac{x^2}{1.2}\) + \(\frac{x^3}{1.2.3}\) + \(\frac{x^4}{1.23.4}\) + .........
D 1 - x + \(\frac{x^2}{1.2^3}\) + \(\frac{x^3}{2^4.3}\) + .........
E 1 + \(\frac{x}{2}\) + \(\frac{x^2}{1.2^3}\) + \(\frac{x^4}{1.2.6}\) + .........

Question 14:

\((\sqrt[4]{3} + \sqrt[4]{2})(\sqrt[4]{3} - \sqrt[4]{2})(\sqrt{3} + \sqrt{2})\) is equal to

A 1
B (\(\sqrt{2} + 4\sqrt{2}\))
C (6\(\sqrt{2}\)
D 8

Question 15:

In a restaurant, the cost of providing a particular type of food is partly constant and partially inversely proportional to the number of people. If cost per head for 100 people is 30k and the cost for 40 people is 60k, Find the cost for 50 people?

A 15k
B 20k
C 50k
D 40k
E 45k