FUTO Mathematics 2011/2012 Day 1 Past Questions

Find n if 34n =10011₂

The radius of a circle is given as 5cm subject to an error of 0.1cm. What is the percentage error in the area of the circle?

What is the value of x satisfying the equation $$\frac{4^{2x}}{4^{3x}} = 2$$

If x = 3 - √3, find x² + $$\frac{36}{x^2}$$

Solve the equation y - 11y + 24 = 0

A man invested a sum of 4280.00 partly at 5% and partly at 4%. If the total interest is N12.80 per annum, find the total amount at 5%

Ice forms on a refrigerator ice box at the rate of (4 - 06t)g per minute after t minutes. If initially there were 2g of ice. Find the mass of ice formed in 5 minutes.

Obtain a maximum value of the function f(x) = x³ - 12x + 11

Two perfect dice were thrown together, Determine the probability of obtaining a total score of 8.

The probability of an event P is 3/4, while that of another event Q is 1/6. If the probability of both P and Q is 1/12. What is the probability of either P or Q?