23/04/2020 Senior Class WAEC/NECO/UTME Mock Exams(Mathematics) 0Comments by Gate Academy Please, fill out the information below to continue. NAME EMAIL PHONE NUMBER 1. If U = {5, 6, 7, 8}, P ={6, 7} and Q = {6, 8}, then, (P∩Q)' is{5, 7, 8}{6, 7}{5, 8}{5, 6, 7}2. Evaluate 4512 ÷ 0.05 correct to three significant figures902090200090240902902003. Differentiate w.r.t x 3x²+4x3x+46x+4x6x6x+44. If log 4 = 0.6021, evaluate:log 40 - 3log 400-6.7958-6.2042-7.7958-7.20425. Factorize the polynomial x^{ 3} - x^{ 2} - 25x + 25(x-5)²(x - 1)(x + 5)(x - 5)(x - 1)(x + 5)²x²-1(x-5)6. The expressionis equal to4/99/43/22/37. 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 the surname of a student selected at random begins with a vowel is4/132/154/152/58. P = and Q = If PQ =Find (a, b)(2, 3)(1/2, 1/3)(1, 2)(4, 7)9. From an observation point close to the edge of the sea, a ship is 14 km away on a bearing of 130°.A second ship is 48 km away on a bearing of 220º. The distance separating the ships is55 km50 km34 km62 km10. Two cities are both on longitude 55°E. If their latitudes are 5°S and 65°S and R = 6,400 km, their distance apart in km is6,400π3,200π / 322,400π / 96,400π / 311. The marks scored by students in a test are recorded in the table belowCalculate the standard deviation2.131.341.842.3412. Find the area of a rectangle of length 4 cm and whose diagonal is 8 cm.12√3 cm²16√2 cm²8√3 cm²16√3 cm²13. An arc of a circle subtends an angle of 45° at the circumference. The arc must beI. a minor arcII. a semicircleIII. one-quarter of the circumference of the circleIV. a major arcWhich of the above is/are correct?II and IV onlyI, II and IV onlynone of the aboveIII onlyall of the above14. Two brothers Kameel and Kafeel owned a business in which the ratio of shares, was 3 : 2 respectively. Kafeel later sold 1/2 of his share to Kameel for £12,000. What was the value of the business?£84,000£60,000£24,000£48,000£42,00015. In the figure given below, ABCD is a rectangle. The area of the isosceles right triangle ABE = 7cm^{2}; EC = 3(BE). The area of ABCD (in cm^{2}) is 42 cm²21 cm²56 cm²28 cm²16. Factorize the polynomial x^{ 3} - 1(x-1)²x-12x+1(x - 1)(x² + x + 1)17. The diameter of a rod is measured as 3.70cm to three significant figures. Find the maximum error in the measurement.5cm0.045cm0.05cm0.005cm0.5cm18. In the figure, the point on segment JK that is four times as far from K as it is from J is: (2,0)(0, 2)(-1, 3)(-1/3, 7/3)19. Solve for x Log ( 1/x + 1 ) = 22991/21/9920. Find the derivative of y = 2t^{4}- 10t² + 13t4t³-58t³ -20t + 1320t20t + 1421 out of 20Time is Up! Time's up