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. The line 3y - x = 7 makes an angle of θ with the positive x-axis. Find the value of sin θ.3/71/3√10/103√103√10/102. If ax² + 6x + k is a perfect square, then k equals39/a9a93/a3. The data below shows the distribution of workers in a certain secondary school. Teacher 30 Gardeners 15Typists 9 Cleaners 6Clerks 12 Messengers 3If one of the workers is on leave, the probability that he is either a teacher or a gardener is2/53/53/251/54. Solve the equation: 3y-2 = 4/274/8181/4812/99/25. Evaluate: 27.63² - 22.37²241.3189.027.7263.06. The ratio of the sides of two similar rectangular blocks is 5 : 3. If the volume of the smaller block is 324 cm³, that of the other block is540 cm3900 cm31500 cm3864 cm37. Sinθ Cotθ is equal toTanθSinθCosθSecθCosecθ8. 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 isreduced by a factor of 4quadrupledtripleddoubledhalved9. Jessica sold her airpod set to Tolu at a profit of 10% and Tolu sold it for $2,612.50 at a loss of 5%. What was the cost of the airpod set to Jessica?$2,375$2,488$2,500$2,650$2,27210. The bearing of N75°W can also be expressed as285°225°165°075°11. Choose nearest meaning of TAINTSoilCorruptDirtyStain12. Choose the word that best completes the sentence:Neither Sibongile nor Ted ______ the keys to the stationery cupboard.havewashasdidn't have13. Reduce each number in the following expressions to two significant figures and then evaluate: ( 0.04371 × 2.44913 ) ÷ 0.047518.104.22.168.61.614. Choose the option that best completes the sentence:Amina has ___________________.big beautiful brown eyesbig brown beautiful eyesbrown big beautiful eyesbeautiful big brown eyes15. Points X and Y are respectively 48m North and 20m East of point Z. The distance /XY/ is60m68m44m52m16. The sine, cosine and tangent of 240° are, respectively0.866, -1/2, 1.732-0.866, 1/2, -1.7320.866, 1/2, 1.732-0.866, -1/2, 1.73217. Class interval: 10-19 20-29 30-39 40-49Frequency: 2 4 3 1What is the median score?26.024.527.027.525.518. Choose the word that best completes the sentence:I don`t think we can succeed without the __________ acceptance of the unions.pronouncedaveragepolitewholeheartedcareless19. 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?$80,000$120,000$100,000$160,000$140,00020. If 45y = 1000012, the value of y is876921. Solve the equation 4/(10+x) + 4/(10-x) = 5/61, 2-2 ,-2-2, 1-2, 2-1, -222. Choose the word that best completes the sentence:The announcement was made to deafening ___________.applauseappearanceappealapologyappetite23. 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?151117724. When the price of eggs was raised by £2 an egg, the number of eggs which can be bought by Tara for £120 is reduced by 5. What is the present price that Tara would buy an egg?£10£7£8£625. The speed of 144 km/hr, expressed in metres per second is402872362026. 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(3a) + 3a = 20004(3a) - 3a = 20004(a) + 3(3a) = 20004(a) - 3(3a) = 200027. 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?8611728. A number P is divisible exactly by 3 and 5 and a number Q by 3, 5 and 7. The H.C.F of P & Q is15a factor of 15a multiple of 1510529. Solve the equation 4sinθ - 1 = -3 for 0° < θ < 2π240 or 300 degrees210 or 300 degrees210 or 330 degrees30 or 150 degrees30. 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$15,000$25,000$40,000$10,00031. A right-angled triangle has sides of lengths (3m-1) cm, (m) cm and (3m+1) cm. The value of m is26121832. If (2x - 3)/2x(2x + 1) = P/(2x + 1) + Q/2x. What are the values of P & Q respectively?3, 40, -32, 34, -32, -333. 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 getsN950N1,100N1,000N1,05034. If two triangles are similar, thenI. the corresponding angles are similarII. the areas of the triangles are in the same ratio as the lengths of the corresponding sides.III. the triangles are congruent.IV. the corresponding sides are proportional.Which of the above statements are CORRECT?I and II onlyIII and IV onlyI, III and IV onlyall of the aboveI, II and III only35. The first term of an AP is -1 and the common difference is 0.5. The 6th term is2.51.00.51.536. Choose the option that best completes the sentence:The cookies that you ____________.smell baked deliciousdelicious smell bakedbaked smell delicioussmell delicious baked37. If (x-y)² = 1 and xy = 2, the positive value of 1/x + 1/y is13/21/22/338. The length of a rod was given as 35cm correct to the nearest centimetre. The actual length lies within the range34.5 - 35.5cm34.9 - 35.1cm34.1 - 35.9cm34.95 - 35.05cm39. If x² - 5x + 6 = (x-a)² + b, what is the value of b?- 25/203-1/440. The journey from Leeds to Hampton Park usually takes a motorist 1 hour 30 minutes. By increasing his average speed by 20 km/hr, the driver saves 15 minutes. What is his usual speed in km/hr?80100120908541. The probability of obtaining a prime number in a single toss of fair die is1/61/41/31/242. If 4 sin²θ - 3 = 0, the value of θ for 0° < θ < 90° is45 degrees90 degrees30 degrees60 degrees43. Find m if: 9(m + 1) × 3 = 27-m33/5-3/5-1/31/344. The volume of a cone of radius 6 cm and vertical height 7 cm is take (π= 22/7)42 cm321 cm3264 cm326.4 cm345. Three locations on the surface of the earth are Mumbai(45°N, 20ºE), Guanzhou(45°N, 40°E) and Ibadan(45°S, 40°E). Which of the following statements are correct?I. Guanzhou and Ibadan are on the same longitude.II. Guanzhou and Ibadan are on the same latitude.III. The difference between the longitudes of Mumbai and Guanzhou is 60°.IV. The difference between the latitudes of Mumbai and Ibadan is 90°.I and IV onlyI and III onlyII and IV onlyII and III only46 out of 45Time is Up!