Hello and Welcome to UTME CBT Practice Test - Mathematics (Diagnostic Test) - Set 8 You are to attempt 40 Objectives Questions ONLY for 30 minutes. Supply Your Full Name and Location in the text box below and begin immediately. Your time starts NOW! Full Name (Surname First): Location: email address: Geometry/TrigonometryIf cot θ = , where θ is acute, find sin θ. A. B. C. D. A B C D If the mean of five consecutive integers is 30, find the largest of the numbers A. 28 B. 30 C. 32 D. 34 A B C D Calculus At what value of x does the function y = -3 – 2x + x2 attain minimum value? A. -1 B. -4 C. 4 D. 1 A B C D Geometry/Trigonometry Find the equation of a line parallel to y = -4x + 2 passing through (2, 3). A. y + 4x + 11 = 0 B. y – 4x – 11 = 0 C. y + 4x – 11 = 0 D. y – 4x + 11 = 0 A B C D Statistics In how many ways can a committee of 2 women and 3 men be chosen from 6 men and 5 women? A. 100 B. 200 C. 30 D. 50 A B C D Number and Numeration Find r, if 6r78 = 5119. A. 5 B. 2 C. 3 D. 6 A B C D Algebra If , find the value of x. A. 4 B. 5 C. 2 D. 3 A B C D Statistics If three unbiased coins are tossed, find the probability that they are all heads. A. B. C. D. A B C D AlgebraMake Q the subject of the formula if A. B. C. D. A B C D Geometry/TrigonometryFind the distance between the points and A. B. 0 C. 1 D. A B C D Number and Numeration Which of the Venn diagrams below represents P' ∩ Q ∩ R'? A B C D Number and Numeration Simplify A. B. C. D. A B C D Calculus If y = x cos x, find A. sin x - x cos x B. sin x + x cos x C. cos x + x sin x D. cos x - x sin x A B C D Geometry/TrigonometryAn arc subtends an angle 50° at the centre of circle of radius 6 cm. Calculate the area of the sector formed. [π = ]A. cm2 B. cm2 C. cm2 D. cm2 A B C D Rationalize A. B. C. D. A B C D Geometry/Trigonometry From the cyclic quadrilateral TUVW above, find the value of x. A. 24° B. 26° C. 20° D. 23° A B C D AlgebraIf x is inversely proportional to y and x = 2½ when y =2, find x if y = 4. A. B. 5 C. 4 D. A B C D Number and Numeration If p : q = : and q : r = : , find p : q : r. A. 12 : 15 : 10 B. 12 : 15 : 16 C. 10 : 15 : 24 D. 9 : 10 : 15 A B C D Geometry/Trigonometry What is the locus of points equidistant from points P(1, 3) and Q(3, 5)? A. y = -x – 6 B. y = x + 6 C. y = x – 6 D. y = -x + 6 A B C D Calculus Find the value of x for which the function f(x) = 2x3 - x2 - 4x + 4 has a minimum value. A. B. 1 C. D. -1 A B C D Geometry/Trigonometry From the diagram above, find x. A. 65° B. 50° C. 55° D. 75° A B C D Algebra If 9x2 + 6xy + 4y2 is a factor of 27x3 – 8y3, find the other factor. A. 2y + 3x B. 2y – 3x C. 3x + 2y D. 3x – 2y A B C D From the table above, if the pass mark is 5, how many students failed the test? A. 6 B. 2 C. 9 D. 7 A B C D Number and Numeration Express the product of 0.21 and 0.34 in standard form A. 7.14 x 10-2 B. 7.14 x 10-1 C. 7.14 x 10-4 D. 7.14 x 10-3 A B C D Calculus If y = (2x + 1)3, find . A. 6(2x + 1) B. 3(2x + 1) C. 6(2x + 1)2 D. 3(2x + 1)2 A B C D Statistics A bag contains 5 black, 4 white and x red marbles. If the probability of picking a red marble is find the value of x. A. B. 2 C. D. 6 A B C D Find the standard deviation of 2, 3, 5 and 6. A. B. C. D. A B C D Algebra For what range of values of x is x + > x + A. x > B. x > C. x < D. x < A B C D Algebra If x * y = x + y2, find the value of (2 * 3) * 5A. 25 B. 11 C. 55 D. 36 A B C D Calculus If y = x sinx, find . A. sinx - xcosx B. sinx + xcosx C. sinx – cosx D. sinx + cosx A B C D The table above shows the marks obtained in a given test. How many students took the test? A. 16 B. 20 C. 13 D. 15 A B C D Algebra Find the sum of infinity of the following series 0.5 + 0.05 + 0.005 + 0.0005 + … A. B. C. D. A B C D Calculus Find (sin x + 2) dx. A. -cosx + 2x + k B. cosx + 2x + k C. -cosx + x2 + k D. cosx + x2 + k A B C D The table above shows the marks obtained in a given test. Find the mean mark. A. 3.1 B. 3.0 C. 3.3 D. 3.2 A B C D Geometry/Trigonometry The interior angles of a quadrilateral are (x + 15)°, (2x – 45)°, (x – 30)° and (x + 10)°. Find the value of the least interior angle. A. 82° B. 52° C. 112° D. 102° A B C D AlgebraFactorize completely A. B. C. D. A B C D 1 out of 1 To submit your quiz and see your score/performance report; Make sure you supply your Full Name in the form above. Unable to submit your quiz? Kindly Click Here To Retake UTME CBT Practice Test - Mathematics (Diagnostic Test) - Set 8. Make sure you supply your Full Name before submission. Time is Up! Time's up Categories: 0 Comments Leave a Reply Cancel replyYou must be logged in to post a comment.