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. Evaluate , without calculator, the logarithmic expression: log25 5 1/2 2 1/5 5 2. Of the 30 students in a class, 8 surnames begin with A or O and 18 begin with a consonant.No surname begins with any of the letters C,Q,U, V,X,Y and Z.The probability that a surname selected randomly begins with E or I is 13/15 2/15 3/5 4/15 3. Simplify: (32y + 1 × 9y × 42y) ÷ (18y × 2y × 62y) 2 2y 3y 3 1 4. Factorise 27 – 3p2 completely (p + 3)(p- 3) 3(p + 3)(p - 3) 3(3 + p)(3 - p) (3 + p)(3 - p) 3(p- 3)² 5. The following are measures of central tendency except median mean deviation mode mean 6. The latitudes on which the radius of the parallel of latitude is one-half of the earth's radius are 60°N and 30°S 30°N and 30°S 30°N and 60°S 60°N and 60°S 7. The diagram illustrates the distribution of marks in a class testThe average and the modal marks scored are, respectively 4.7, 5 4, 5 4.7, 4 5, 4 8. If a = 2 and b = 3, solve for y in the equation a/(a-y) = b/(y-b) 12/5 12 7/3 2/3 9. A number is selected randomly from the set of integers 1 to 20 inclusive. The probability that the number is prime is 1/2 9/20 2/5 7/20 10. The angles of the sectors representing the numbers 5, 8, 12, 15, 20 on a pie chart are respectively, 30, 48, 72, 90, 120 degrees 40, 64, 96, 120, 160 degrees 5, 8, 12, 15, 20 degrees 15, 24, 36, 45, 60 degrees 11. If (2/3)a-1 = 27/8, what is a? -2 2 6 -4 12. An observer on the ground views an airplane of altitude 1,000 m at an angle of elevation of 30°. How far is the plane from the observer? 500 m 2,000 m 1154.7 m 1,000 m 13. The cost(y) of feeding n people for a week is given as y = 250 + 80n, where y is expressed in dollar ($). What is the cost of feeding two persons? $80 $160 $660 $410 14. A string of length 66 cm is shaped into an arc of a circle of radius 28 cm. The angle of the sector is 90 degrees 45 degrees 120 degrees 135 degrees 15. ABC is a right triangle with the size of angle ACB equal to 74 degrees. The lengths of the sides AM, MQ and QP are all equal. Find the measure of angle QPB. 148° 35° 94° 135° 16. Two fair dice are thrown together. The probability that the sum of the outcomes is at least 10 is 1/2 1/36 1/6 1/3 17. Instead of walking along two adjacent sides of a rectangular field, a boy took a short cut along the diagonal and saved a distance equal to half the longer side. Then the ratio of the shorter side to the longer side is 1/4 2/3 3/4 1/2 18. Given that y3=log10 100000000, find y 5 1 2 10 19. A piece of string is wound uniformly around a triangular prism ABCDEF, of an equilateral base. The thread starts from the corner A at the base and ends at the corner D of the top, as shown in the figure. If there are total 14 rounds of string and the side of the base and the height of the prism are 2 cm and 13 cm respectively, then find the length of the string. 97 cm 84 cm 85 cm 87 cm 20. A sum of $50,000 was invested by two partners in a project which yielded $90,000. If the profit was shared in the 3 : 5, what is the difference between the amounts received by the partners? $30,000 $10,000 $40,000 $15,000 $25,000 1 out of 20 Time is Up! Time's up