Home/Quiz/UTME Mathmatics UTME Mathmatics Welcome to your UTME Mathmatics The graphs of the function y = x2 + 4 and a straight line PQ are drawn to solve the equation x2 +3x + 2 = 0. What is the equation of PQ? A. y = 3x +2 B. y = 3x - 4 C. y = 3x + 4 D. y = 3x - 2A bag contains 5 black, 4 white, and x red marbles. If the probability of picking a red marble is 2/5, find the value of x 6 10 4 8Three consecutive terms of a geometric progression are given, as n - 2, n, and n + 3. Find the common ratio A. 2/3 B. 3/2 C. 1/2 D. 1/4An aeroplane flies due north from airports P to Q and then flies due east to R. If Q is equidistant from P to R. Find the bearing of P to R. A. 270 degree B. 090 degree C. 135 degree D. 225 degreeIf tan x = 5 /4, find sin2 x - cos2 x 41/9 9/41 1 5/4Find the number of committees of three that can be formed consisting of two men and one women from four men and three women A. 24 B. 18 C. 3 D. 6A bag contains 5 black balls and 3 red balls. Two balls are picked at random without replacement. What is the probability that a black and a red balls are picked? A. 5/14 B. 13/28 C. 3/14 D. 15/28In a class of 40 students, 32 offer mathematics, 24 offer physics and 4 offer neither mathematics nor physics. How many offer both mathematics and physics? A. 16 B. 4 C. 20 D. 8By how much is the mean of 30, 56, 31, 55, 43, and 44 less than the median A. 0.5 B. 0.75 C. 0.17 D. 0.33Find the derivative of (2 +3x)(1 - x) with respect to x A. 6x - 1 B. 1 - 6x C. 6 D. -3Two dice are thrown. What is the probability that the sum of the numbers is divisible by 3? A. 1/2 B. 1/3 C. 1/4 D. 2/3A trapezium has two parallel sides of length 5cm and 9cm. If the area is 21cm2, find the distance between the parallel sides A. 7cm B. 3cm C. 4cm D. 6cmIf y = 3sin(-4x), dy/dx is A. -12 cos(-4x) B. 12 sin(-4x) C. 12x cos(4x) D. -12x cos(-4x)Find the value of x for which the function 3x3 - 9x2 is minimum 3 5 0 2Find the value of p, if the line which passes through (-1, -p) and (-2p, 2) is parallel to the line 2y + 8x - 17 = 0 A. -2/7 B. 7/6 C. -6/7 D. 6/7Please fill in the comment box below. Name Email Time is Up!