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. An arc of length 22 cm subtends an angle of 270° at the center of the circle.If π = 22/7, the radius of the circle is6 cm4 2/3 cm9 1/3 cm7 cm2. Which of the following angles cannot be constructed with a ruler and a pair of compasses only?120°105°112.5°115°3. 33 of the students in a grade 9 class play either football or table tennis. If 22 students play football and 18 play table tennis, how many students play football only?71511174. Factorize : Pqx^{2}+ 12y - 4qx - 3pxy(px+q) (x-12y)(qx-4)(px+3y)(px-3y)(qx-4)(px-4)(qx-3y)5. Find the mean and the modal marks respectively given the following data: 3, 4, 9, 3, 5, 5, 2, 4, 4, 6, 6, 6, 8, 7, 5, 7, 7, 6, 5, 65.25, 65, 65.4, 65.4, 55.5, 5.56. If a : b = 1/4 : 3/8 and b : c = 1/3 : 4/9, what is a : c ?1 : 23 : 89 : 82 : 18 : 37. Choose the word that best completes the sentence:In his speech, he made a flattering _______ to your work.appetiteallusionappearanceapplauseapplication8. The difference between 0.003286 correct to three significant figures and 0.003286 correct to four decimal places is0.000090.00030.000010.0000040.00019. Class interval: 10-19 20-29 30-39 40-49Frequency: 2 4 3 1What is the median score?24.525.527.027.526.010. The first winner in a lottery gets N2,000 while subsequent winners get N50 less than the preceding winner. The winner in the 20th position getsN1,000N950N1,100N1,05011. If X= {1, 2, 3, 4} and Y = {3, 5, 6}, the elements of (X ∩ Y) ∪ X are{1,2,3,4}{1,2,4}{3,5,6}{3}12. What is 0.021728 to 3 significant figures?0.021730.02180.02170.0210.02213. Choose the word that best completes the sentence:The creator and the distributor of the furniture _____ to sign that petition.wasisarehas14. Two events M and N are mutually exclusive and P(M) = ¼ and P(N) = 2/3.P(M∩N) is1/35/1201/615. The quantity x varies inversely as y, and y varies directly as the square of z. If z is halved, then the value of x ishalveddoubledquadrupledtripledreduced by a factor of 416. A die is rolled 100 times with the following outcomes:Number 1 2 3 4 5 6Frequency 15 20 18 14 17 16The experimental probability of obtaining at most 4 is0.140.670.840.4717. If a graph of the function y = 3x² -5x - 7 is provided, the roots of the equation 3x² - 2x -5 = 0 are given by the points of intersection of the curve y = 3x² -5x - 7 and the liney = -7x - 2y = 7x - 12y = -3x - 2y = 3x - 218. The minimum point on the curve y = x² - 4x + 3 is(1, 0)(2, -4)(0, 3)(2, -1)19. In a Yr 8 class of 60 students in a Nigerian school, 40 speak Hausa while 19 speak Igbo and 7 students speak both languages. How many students speak neither of the languages?1176820. The graph of the function 2y = x² - x - 6 intersects the y axis at the point(0, -6)(0, -3)(-2, 0)(2, -3)21. I believe in the unity of God. Here 'Unity' meansOnenessUniversityUniquenessUniversal22. If sum of 4 consecutive numbers is 98 then equation derived for this statement can be written asa + 1 + 2 + 3 = 98a + (a + 1) + (a + 2) + (a + 3) = 98aa + (a + 1) + (a + 2) + (a + 3) = 98(a)(1)(2)(3) = 9823. Jasmin invested a total of $200,000 in two companies which paid dividends of 5% and 7% respectively. How much did she invest at 7% if she received a total of $11,600?$140,000$160,000$100,000$120,000$80,00024. 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, 3) and (3, 11)(1, 0) and (-3, 0)(-1, 11) and (3, 3)(3, 0) and (-1, 0)25. Evaluate 3 log√2 + log√3 - log√6log√2log 3log 6log 226. What is the common factor to the expressions y²-y, 2y²+y-1 and y²-1 ?y+1yy-1none27. Two locations on the equator are on longitudes 20°W and 70°E respectively. If R = 6,370 km and π = 22/7, their distance apart along the equator, correct to 2 significant figures is5,600 km11,000 km10,000 km15,000 km28. Choose the option that best completes the sentence:Why can't you wear your __________ dress tonight.silk pinkBothpink silkNone29. When the food bill for the Jackson's family increased by 20%, the mother reduced the quantity of food bought for the family by 15%. What is the fractional increase in the food bill of the family now?1/507/2013/407/401/2030. The probability that a sum of 10 will appear in two tosses of a fair die is1/125/181/41/631. If a = x^{1/3}, find log_{a}x^{3}1/39131/932. Sorry, she can't come to the phone. She _______ a bath (Fill in the blanks)hasis havinghavinghave33. Which of the following points is located on the curve y =2x² - 3x - 5 ?(2, -1)(3,4)(0, 5)(1, 3)34. A figure is selected randomly from a group of figures consisting of a square, a triangle, a rectangle, a trapezium and a rhombus. The probability that the figure selected is a parallelogram is1/54/53/52/535. The surface area of a sphere of radius 3.5 cm is take (π = 22/7)179 2/3 cm2154 cm2616 cm2308 cm236. 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 approximately7 h10 h5 h8 h37. A number is selected randomly from the set of integers 1 to 20 inclusive. What is the probability that the number is equal to or greater than 15?3/107/101/43/438. Sinθ Cotθ is equal toSinθCosθSecθCosecθTanθ39. Choose the option that best completes the sentence:My uncle wore a _________ to the wedding.blue silk tiesilk tie bluesilk blue tietie blue silk40. 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.203515302541. The speed of 144 km/hr, expressed in metres per second is723628402042. PQRS is a cyclic quadrilateral and the diagonals PR and QS intersect at T. If <SPR = 47° and <PTQ = 98°,calculate <PRQ145 degrees47 degrees94 degrees51 degrees43. Which of the following pairs of graphs cannot be used to find the solution to the cubic equation x³ -3x² + 3x - 9 = 0 ?y = x³ and y = 3x² - 3x + 9y = x³ -3x² and y = 3x - 9y = x² - 3x + 3and y = 9/xy = x³ -3x² + 3x and y = 944. If sin-¹(0.966) = 75°, then sin-¹(-0.966) equals255 or 285 degrees105 or 255 degrees75 or 105 degrees195 or 285 degrees45. 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 is13/152/154/153/546 out of 45Time is Up!