Please, fill out the information below to continue. Note: This is a sample test, and you can only take it for a limited period, after which you will be required to subscribe to a plan NAME EMAIL PHONE NUMBER 1. Factorize: 32a³ - 8ab²4(2a+b)(4a-b)8a(2a+b)(2a-b)8a(2a-b)4(4a+b)(2a-b)2. If there is no stop-over at Dubai, and the average speed of the airplane is 500km/hr, the total time taken for the plane to fly from Lagos to Kuala Lumpur via Dubai is approximately8 h10 h7 h5 h3. 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 is3/52/1513/154/154. If f(x) = x² + 2x - 2, find the least value of f(x) and the corresponding value of xx = 0, f(x) = -2x = 1, f(x) = -2x = -1, f(x) = -3x = -1, f(x) = -45. Evaluate: 81^{-1/4 } × 36^{1/2 }×10^{0}2301106. cos 65° is equal tocos 115°sin 115°cos 245°cos 295°7. 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 m1154.7 m2,000 m1,000 m8. All the vertices of an isosceles triangle lie on a circle and each of the base angles of the triangle is 65°. The angle subtended at the centre of the circle by the base of the triangle is100 degrees115 degrees65 degrees130 degrees9. The points of intersection of the graphs of y = x² + 2 and y = 2x + 5 when drawn on the same set of axes are(-1, 11) and (3, 3)(1, 0) and (-3, 0)(-1, 3) and (3, 11)(3, 0) and (-1, 0)10. The greatest value of an integer x which satisfies the inequality 2 - 4x > 15 is34-2-3-411. What is the lowest common multiple of the prime numbers between 1 and 10?35210901057012. Evaluate: (2^{-3 }× 16^{3/4} × 2^{0})1/21-1/22013. The 5th and 10th terms of an AP are 0 and 10 respectively, the 20th term is4020363014. If Sin θ = -0.6 and Tan θ > 0, then Sec θ is equal to-5/3-0.80.81.25-1.2515. Choose the word that best completes the sentence:The famous singer and composer ________ arrived.havehashadwere16. The probability of obtaining a number less than 5 in a single toss of a fair die is1/21/61/32/317. Sean opened a savings account with £1,000.00. One year later he deposited £500.00 in the account and deposited a further £500.00 two years after opening the account. If the interest rate is 8% p.a computed annually, calculate the total amount, to the nearest pounds, in his account three years after opening the account.£2,500£2,383£2,360£2,480£2,34818. Choose the word that best completes the sentence:I don`t think we can succeed without the __________ acceptance of the unions.carelesspronouncedwholeheartedpoliteaverage19. The expression (x² - 6x + 9)/x(x² - 9) is undefined forx = 0 or -3x = 0, 3 or -3x = 3x = 0 or 9x = 0 or 320. If P = {3, 1, 0, 5}; Q = {2, 3, 8, 1, 4} and R = {7, 6, 5}, then P ∩ Q ∩ R is{0}{1}{ }{1,3,5}21. What is the sum of the following number in base two?1101, 1110, 1001.1000010010010011010011110001022. Two cities London and Lagos are on latitude 60°N and their longitudes are 17°W and 28°E respectively. If R = 6,370 km and π = 22/7, the distance between London and Lagos, measured along the parallel of latitude is2,502.5 km2,359.4 km5, 005.0 km4,718.8 km23. Factorize: 5x²+2ax-3a²(5x-a)(x+3a)(x-a)(5x+3a)(5x+a)(x-3a)(x+a)(5x-3a)24. 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 ages28, 726, 632, 830, 740, 1025. Divide (2x³ - xy² + y³) by (x + y)2x² - y²2x² + 2xy + y²2x² - 2xy + y²2x² + xy2x² - 2xy26. Anne spent a quarter of her food budget on provisions, half the balance on staples and one-third of the remainder on beef. If she was left with $350, how much was her food budget?$700$1,400$2,100$800$1,05027. The first term of an AP is -1 and the common difference is 0.5. The 6th term is0.52.51.01.528. A parallelogram of area 425 cm² has a height of 17cm. The length of the base is20 cm25 cm50 cm12.5 cm29. Choose the word that best completes the sentence:You need to open the windows and get rid of the _________ air in here.triumphantboundcovertstalebroad30. The intercept of the line y = 3x on the x-axis is3011/331. A bearing of 310°, expressed as a compass bearing isN 40° WS 40° WS 50° WN 50°W32. The probability of obtaining a prime number in a single toss of fair die is1/21/31/61/433. If X = ( -1, 2 ) and Y = ( 0, 1 ), which of the following points lies on the line XY produced?( 1, 3 )( 2, -2 )( 3, 4 )( -3, 4 )( 3, -2 )34. The letters of the word MISSISSIPPI are cut and placed in a bag. If one letter is drawn randomly from the bag, the probability that it is neither an I nor a S is3/111/26/118/1135. Which of the following pairs of graphs cannot be used to find the solution to the cubic equation x³ -3x² + 3x - 9 = 0 ?y = x² - 3x + 3and y = 9/xy = x³ -3x² and y = 3x - 9y = x³ -3x² + 3x and y = 9y = x³ and y = 3x² - 3x + 936. Which of the following points is located on the curve y =2x² - 3x - 5 ?(3,4)(1, 3)(2, -1)(0, 5)37. Four handbags and three school bags costs $2000 and cost of handbag is thrice as much as schoolbags. If cost of school bag is 'a' then derived equation will be4(a) + 3(3a) = 20004(a) - 3(3a) = 20004(3a) - 3a = 20004(3a) + 3a = 200038. A bucket in the form of a truncated cone of end radii 14cm and 21cm, and height of 30cm. What is the capacity of the bucket?53,900 cm³41,580 cm³29,260 cm³12,320 cm³15,300 cm³39. If ax² + 6x + k is a perfect square, then k equals3/a99/a9a340. Two men and six boys can cut a field in 3 hours. If the men work at 3/2 times that of the boys, how many men are required to cut the field in 2 hours?94116841. If the radius of the earh is 6,370 km, the distance between two towns on latitudes 25°N and 20°S on the same meridian is (π = 22/7)5,005 km4,004 km6,006 km3,185 km42. A girl walks 30 m from a point P on a bearing of 040º to a point Q. She then walks 30 m on a bearing of 140º to a point R. How far is R from P38.6 km30 km42.4 km25.2 km43. Solve the equation 4/(10+x) + 4/(10-x) = 5/61, 2-2, 2-1, -2-2, 1-2 ,-244. Factorize : Pqx^{2}+ 12y - 4qx - 3pxy(px+q) (x-12y)(qx-4)(px+3y)(px-4)(qx-3y)(px-3y)(qx-4)45. The locus of a point which is equidistant from the lines y - x = 0 and y + x = 0, for x > 0, is thex-axisline x = yline y = 1line x = 1y-axis46 out of 45Time is Up!