23/04/2020 Senior Class WAEC/NECO/UTME Mock Exams(Mathematics) 23/04/2020 0Comments by Gate Academy Please, fill out the information below to continue. NAME EMAIL PHONE NUMBER 1. Arrange the following numbers in ascending order of magnitude 5/6, 11/13, 0.837 11/13, 5/6, 0.837 5/6, 0.837, 11/13 0.837, 11/13, 5/6 0.837, 5/6, 11/13 5/6, 11/13, 0.837 2. Solve for x(1 / 3) ^{x/2 - 2} = 9 2 0 -1 1 3. A bag contains 6 red balls, 12 white balls and 9 green balls.A ball is selected at random. What is the probability that it is a red or green ball? 4/9 1/3 5/9 2/3 4. Two fair coins are tossed. The probability of getting at least one tail is 2/3 1/2 1/4 3/4 5. An arithmetic sequence has five terms between 2 and 20. Determine the fourth term of the sequence. 18 11 12 14 8 6. Simplify:log_{5}25^{x }- log_{5}(0.04) 2x+2 2x+1 x/2 2x-2 7. Differentiate sinx - xcosx xcosx sinx + cosx xsinx cosx + xsinx 8. The distance s metres after time t second covered by a particle moving along a straight line is given by s = t³ - t² - t - 2Find the average acceleration between t = 2 and t = 4 4ms-² 3ms-² 6ms-² 2ms-² 9. Find the circumference of a circular disk whose area is 100 π square centimeters 19π 20π 22π 24π 10. Four books whose authors' surnames start with the letters A, J, P, and W are placed randomly on a shelf. The probability that the books will be arranged in the alphabetical order of the authors' last names is 1/4 1/24 4/18 1/12 1/6 11. A regular polygon with (2m + 1) sides has each interior angle equal to 144°. The value of m is 9/2 8 10 5 12. Solve for x:log (3x - 4) - log 2 = 1 6 7 8 5 13. The weights to the nearest kg of a group of students are recorded in the following tableCalculate the mean weight 43 32.7 52.6 23.4 14. Find the derivative of <span class="mjx-chtml MathJax_CHTML" style="line-height: 0;text-indent: 0px;text-align: left;text-transform: none;font-style: normal;font-weight: 400;font-size: 18.72px;letter-spacing: normal;float: none;direction: ltr;max-width: none;max-height: none;min-width: 0px;min-height: 0px;border: 0px;margin: 0px;padding: 1px 0px;color: #000000;font-family: Helvetica, Arial, Verdana, sans-serif;background-color: #ffffff" role="presentation" data-mathml="y=2t4−10t2+13t"><span class="mjx-chtml MathJax_CHTML" style="line-height: 0;text-indent: 0px;text-align: left;text-transform: none;font-style: normal;font-weight: 400;font-size: 18.72px;letter-spacing: normal;float: none;direction: ltr;max-width: none;max-height: none;min-width: 0px;min-height: 0px;border: 0px;margin: 0px;padding: 1px 0px;color: #000000;font-family: Helvetica, Arial, Verdana, sans-serif;background-color: #ffffff" role="presentation" data-mathml="y=2t4−10t2+13t">y = 2t^{4}- 10t² + 13t 8t³ -20t + 13 4t³-5 20t 20t + 14 15. Find the values of x at the turning points of the curve y = 2x³ - 3x² - 12x + 8 -1 or 2 2 or 3 3 or 4 1 or 3 16. A bag containing 5 red balls and 3 green balls. Two balls are picked, one after the other, with replacement. The probability that the two balls selected are of different colours is 15/32 17/32 15/64 1/8 17. Find ∫sin2x sin3x dx -1/10 sin5x + 1/2 cosx + C -1/10 sin5x + 1/2 sinx + C 1/10 sin5x + 1/2 sinx + C 1/2 cosx + C 18. Using the product rule differentiate wrt x(3x + 4)(x - 3) 6x-5 x²+12 6x² 9x-12 19. A university undergraduate has to take 5 courses from a pool of 4 Mathematics and 3 Physics courses.In how many ways can she select her courses if she insists on taking all four Mathematics courses? 6 9 12 3 20. The ratio of the price of a tin of milk to that of a packet of sugar is m : p. If the price of milk now goes up by 25% while that of sugar now goes up by 15%. What is the new ratio of the prices? 5p : 3m 5m : 3p 25m : 23p 23m : 25p 5m : 23p 1 out of 20 Time is Up! Time's up