UNN Mathematics 2005/2006 DAY 1 Past Questions

Find n if 314₁₀ - 256₇ = 340_n

Which is the difference between 1.867551 correct to four significant figures and 1.867551 correct to four decimal places?

In an examination, all the candidates offered at least one of English and French, if 52% offered French and 65% offered English, what percentage offered French only?

Simplify ${6x^3 + 5x^2 - 8x}/{2x^2 + x - 3}$

Find the range of values of x satisfying the inequalities 2x - 5 < 7 and 25 + 2x > 25

If the 8^th term of an A.P. is three times the second term and the sum of the first three terms is 18, find the first term of the A.P.

Find the sum to infinity of the series 4 + 3 + 9/4 + 27/16 + .....

A chord of a circle of radius 10cm is drawn 8cm from the centre of the circle. Find the length ofthe chord.

Find the equation of the line which passes through (-2, 1) and is perpendicular to the line 4x - 2y + 1 = 0.

If a line is parallel to the line 2y - rx + 4 = 0 and perpendicular to the line 4y + x - 28 = 0, then the value of r is

Score	0	1	2	3	4	5
No of Student	2	3	14	16	12	8

The distribution above shows the scores of sixty students in a class test. What percentage of the students scored at least 3?

The first derivative of y = (2 + 3x)⁴ at x = -1 is

The minimum value of (x) = x² - 4x + 5 in the interval [1, -1] is

Score	1	2	3	5	6
Frequency	3	6	7	x	4

The table above shows the marks scored by a group of students in a class test. If the mean score is 3.4, find x

A company is to select three different handset phones from five different types of Nokia brand and two different types of Samsung brand. In how many ways can the company choose the handsets, so as to include at least one Samsung brand?