Hello and Welcome to UTME CBT FREE Practice Test - Mathematics You are to attempt 40 Random Objectives Questions ONLY for 30 minutes. Supply Your Full Name in the text box below and begin immediately. Your time starts NOW! Full Name (Surname First): Find the missing numerator - - = A. -1 B. C. D. 3(1 - 5x)ABCDEvaluate without using tables sin(-1290o) A. B. C. D. ABCDFind the square root of 170 - 20 A. B. C. D. ABCDIf the value of π is taken as the area of a semicircle of diameter 42 m is _______ A. 5544 m2 B. 693 m2 C. 132 m2 D. 264 m2ABCDThe positive root of t in the following equation, 4t2 + 7t - 1 = 0, correct to 4 places of decimal is ______A. 1.0622 B. 10.6225 C. 0.1328 D. 0.3218ABCDIn this figure, PQRS is a parallelogram, PS = PT and ∠PST = 55o . The size of ∠PQR is _____A. 105o B. 120o C. 115o. D. 110oABCDIf sec2θ + tan2θ = 3, then the angle θ is equal to ______ A. 30o B. 45o C. 60o D. 90oABCDThe sum of the root of a quadratic equation is and the product of its roots is 4. The quadratic equation is A. 2x2 + 5x + 8 = 0 B. 2x2 -5x + 8 = 0 C. 2x2 -8x + 5 = 0 D.2x2 + 8x - 5 = 0ABCDx is directly proportional to y and inversely proportional to z. If x = 9 when y = 24 and z = 8, what is the value of x when y = 5 and z = 6 A. B. 11 C. D. ABCDSimplify: A. 8 B. 2 C. 4 D. 6ABCDA pentagon has four of its angles equal. If the size of the fifth angle is 60o, find the size of each of the four equal angles. A. 60o B. 108o C. 120o D. 150oABCDSolve the equation for all positive values of θ less than 360o, 3 tan θ + 2 = -1 A. 135o or 315o B. 45o or 135o C. 315o or 45o D. 315o or 180oABCDIf it is given that 5x+1 + 5x = 150 then the value of x is equal to A. 3 B. 4 C. 1 D. 2ABCDArrange , , and in ascending order of magnitude. A. , , , B. , , , C. , , , D. , , , ABCDIf a circular paper disc is trimmed in such a way that its circumference is reduced in the ratio 2 : 5, in what ratio is the surface area reduced?A. 8 : 125 B. 2 : 5 C. 8 : 25 D. 4 : 25ABCDSimplify: - A. B. C. D. ABCDAn isosceles triangle of sides 13 cm, 13 cm, 10 cm is inscribed in a circle. What is the radius of the circle? A. cm B. 13 cm C. 8 cm D. 7 cmABCDIn the figure below, PQIISR, STIIRQ, PS = 7cm, PT = 7cm, SR 4cm, Find the ratio of the area of QRST to the area of PQRS. A. 56:77 B. 56:105 C. 28:52.5 D. 28:49ABCDIf b = a + cp and r = ab + cp2, express b2 in terms of a, c, r. A. b2 = 2cr - a2 B. b2 = 2a + 2c2r C. b2 = a2 + cr2 D. b2 = ar2 + cABCDWrite the decimal number 39 to base 2 A. 100111 B. 110111 C. 111001 D. 100101 E. 19.5.ABCDIn ΔXYZ, XY = 3cm, XZ = 5cm and YZ = 7cm. If the bisector of XYZ meets XZ at W, what is the length of XW ? A. 1.5 cm B. 2.5 cm C. 3 cm D. 4 cmABCDIn the figure above, PS = SR and RX is a tangent to the circle at R, ∠QRX is equal to 72o. Find ∠SPR A. 20o B. 36o C. 72o D. 30oABCDList all integer values of x satisfying the inequality - 1 < 2x - 5 ≤ 5 A. 2, 3, 4, 5 B. 2, 5 C. 3, 4, 5 D. 2, 3, 4ABCDA set of data contains a total of 130 items which are divided into six groups for display on a pie chart. If one group contains 26 items then the sector representing this group on the pie chart contains an angle xo at the centre of the circle where x is A. 36 B. 60 C. 70 D. 72ABCDFind the solution of the equation x + 2 - 8 = 0A. (4, 16) B. (2, 4) C. (4, 1) D. (1, 16)ABCDFind the area of the curved surface of a cone whose base radius is 6 cm and whose height is 5 cm. (Take π = ) A. 188.57 cm2 B. 1320 cm2 C. 188 cm2 D. 188:08 cm2ABCDIf 3x - > - x, then the interval of values of x is ______ A. x > B. x < C. x < D. x > ABCDIf QR = 3, PS = x, ∠PQS = 30o, ∠PRS = 45o and ∠PSR = 90o, find the value of x in the diagram below. A. B. C. D. ABCDFind the product of (2 - 3y) and (3y + 2) A. 4y + y2 B. 4y + 9y2 C. 4y - 9y2 D. -4y - 9y2ABCDIn the figure above, FGHJ is a circle of radius 3 cm centre O. FOH, GOJ are perpendicular diameters. With G as centre, an arc of a circle is drawn to pass through F and H. Find the length of the perimeter of the lunar portion shaded. A. cm B. cm C. cm D. 9π cmABCDA canal has rectangular cross section of width 10cm and breadth 1m. If water of uniform density 1gm cm-3 flows through it at a constant speed of 1000 mm per minute, the adjacent sea is _______ A 100 000 B. 1000 000 C. 120 000 D. 30 000ABCDIf log2 y = 3 - Iog2 x½ , find y when x = 4 A. 8 B. C. D. 1ABCDWhat is the area between two concentric circles of diameters 26 cm and 20 cm ? A. 100 π B. 169 π C. 69 π D. 9 πABCDOn each market day Mrs. Bassey walks to the market from her home at a steady speed. This journey normally takes her 2 hours to complete. She finds, however, that by increasing her usual speed by 1km/hr she can save 20 minutes. Find her usual speed in km/hr. A. 1 B. 2 C. 5 D. 6ABCDThe number 25 when converted from the tens and units base to the binary base (base two) is one of the following A. 10011 B. 111011 C. 111000 D. 11001 .ABCDFind correct to three significant figures, the value of A. 205 B. 647 C. 2050 D. 6470ABCDWhich of the values of the variable x, (a) x = 0, (b) x = -3, (c) x = 9, satisfy the inequalities 0 < ≤ - 2 A. (a), (b), (c) B. (b), (c) only C. (C) only D. None of (a), (b), (c)ABCDEvaluate correct to 4 decimal places 827.51 x 0.015 A. 8.8415 B. 12.4127 C. 124.1265 D. 12.4120ABCDWhat is the number whose logarithm to base 10 is 2.3482?A. 223.6 B. 0.228 C. 0.02229 D. 22.37ABCDGiven that a*b = ab +a + b and that a o b = a + b + 1, find an expression (not involving * or o) for (a * b) o (a * c) if a, b, a, are real numbers and the operations on the right are ordinary addition and multiplication of numbers. A. ac + ab + bc + b + c + 1 B. ac + ab + a + c + 2 C. ab + ac + a + b + 1 D. ab + ac + 2a + b + c + 1ABCD1 out of GREAT! You finished before the expiration of the 30 minutes allotted to you. You may want to preview before submission, else, Click the submit button below to see your score 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 FREE Practice Test - Mathematics. Make sure you supply your Full Name before submission. Time is Up! Categories: UTME CBT Practice Tests In All Subjects Tags: UTME CBT FREE Practice Test - Mathematics 0 Comments Leave a Reply Cancel reply Your email address will not be published. Required fields are marked * Name * Email * What's on your mind? Save my name, email, and website in this browser for the next time I comment. Please enter an answer in digits:12 − 6 = This site uses Akismet to reduce spam. 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