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. Differentiate the functions wrt x:(x-2)(3x+5)3x²4x+46x-13x+22. The ratio of the age of a father to that of his son is 9 : 2. If the son is now 8 years old, the ratio of their ages in 4 years time will be5 : 13 : 110 : 39 : 43. Evaluate:log3324 - 2 log3632414. Find the differential coefficient of y = -5/(x²+4) at the point (1, -1)-5/2-2/55/22/55. Two years ago, a woman was six times as old as her son. Four years from now, she will be three times as old as the son. Find their present ages32, 840, 1030, 726, 628, 76. A ball has diameter 20cm. What is the volume of the ball, correct to two significant figures?5,000 cm³4,200 cm³4,000 cm³3,500 cm³6,000 cm³7. The prices of computers in a catalogue are: N125,000, N99,000, N125,000, N120,000, N110,000, N115,000, N130,000, N120,000, N100,000.Calculate the standard deviationN10,392.30N453,083N45,830N5,0838. If cos θ > 0 and sin θ < 0, then90° < θ < 180°0° < θ < 90°270°< θ < 360°180° < θ < 270°9. Z is partly constant and partly varies inversely as the square of D. When D = 1, Z = 11 and when D = 2, Z = 5. Find the value of Z when D = 453.55.5210. A circular hall, surmounted by a hemispherical roof, contains 5236m3m3 of air and the internal diameter of the room is equal to the height of the highest point of the roof above the ground. Find the height of the room (Take π=3.1416)π=3.1416) .10 m12 m20 m15 m11. Solve for a:2log8a – 5log8a = 21/421/2412. The angle between latitudes 20°N and 74°N is74°54°62°94°13. Solve the equation: 6z² - 7z - 5 = 0z = -5/3 or 1/2z = 5/3 or -1/2z = 1/2 or -5/2z = 1/3 or 5/214. If the mean of the numbers 6, 8, 10, x, 2x - 2 is 14. What is the largest number in the group?241636302015. In a test conducted on the three arms of a class, class A with 30 students scored an average of 5.5 marks, class B with 25 students scored an average of 6.4 marks and class C got an average of 6.25 marks. If the average mark for the whole class is 6.0, find the number of students in class C.302520153516. 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?III onlynone of the aboveall of the aboveI, II and IV onlyII and IV only17. Given that sin θ = 4/5, the value of (1 - cos²θ) for 0°< θ < 90° is9/162/59/2516/2518. Solve for x if 404five = 150x976819. In the adjoining figure I and II, are circles with P and Q respectively, The two circles touch each other and have common tangent that touches them at points R and S respectively. This common tangent meets the line joining P and Q at O. The diameters of I and II are in the ratio 4 : 3. It is also known that the length of PO is 28 cm. The length of SO is12√3 cm14√3 cm8√3 cm10√3 cm20. Evaluate 4512 ÷ 0.05 correct to three significant figures9020902409020090200090221 out of 20Time is Up!