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 minimum point on the curve y = x² - 4x + 3 is (2, -1) (0, 3) (2, -4) (1, 0) None 2. An open, rectangular wooden box of internal depth 40 cm has a base of internal dimensions 50 cm by 30 cm. If the box is made of wood of thickness 1 cm, the total volume of wood in the box is 9,888 cm3 8,224 cm3 12,000 cm3 8,552 cm3 None 3. In a senior secondary school certificate class, 48 students offer at least one of Economics and Physics. If 36 students offer Economics while 25 offer Physics, find the number of students who offer Economics but not Physics. 25 23 13 11 12 None 4. 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? 17 15 7 11 None 5. If P = {positive integers less than 20, and divisible by 3} and Q = {odd numbers from 1 to 20 inclusive}, then PnQ is ∅ {1,3,9,15} {3,9,15} P None 6. Two sectors of the same circle subtend angles of 75° and 30° at the centre of the circle. Their areas are in the ratio √5:√2 3:1 25:4 2:5 5:2 None 7. If 4 sin²θ - 3 = 0, the value of θ for 0° < θ < 90° is 60 degrees 45 degrees 30 degrees 90 degrees None 8. Choose the option that best completes the sentence:A/An __________ clock. old Italian wonderful old wonderful italian Italian wonderful old wonderful old Italian None 9. Factorize : Pqx^{2}+ 12y - 4qx - 3pxy (px-3y)(qx-4) (px+q) (x-12y) (qx-4)(px+3y) (px-4)(qx-3y) None 10. If a = x^{1/3}, find log_{a}x^{3} 1/3 1/9 1 9 3 None 11. 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 gets N1,000 N1,050 N950 N1,100 None 12. If (2x - 3)/2x(2x + 1) = P/(2x + 1) + Q/2x. What are the values of P & Q respectively? 2, 3 0, -3 3, 4 4, -3 2, -3 None 13. The greatest value of an integer x which satisfies the inequality 2 - 4x > 15 is -3 4 -4 -2 3 None 14. Two events M and N are mutually exclusive and P(M) = ¼ and P(N) = 2/3.P(M∩N) is 1/3 0 5/12 1/6 None 15. Simplify: 4 × 4^{-n} × 2^{2n-2} 1 2n - 1 0 2n 2 None 16. Factorize: a² + 4a - 192 (a-12)(a+16) (a-12)(a-16) (a-4)(a+48) (a-48)(a+4) None 17. 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? £60,000 £84,000 £48,000 £24,000 £42,000 None 18. Choose the word that best completes the sentence:He wasn`t particularly good. He was of about ________ ability. average excellent mild frenetic rhetoric None 19. Given that tan²θ + sec²θ = 3, the value of θ (for 0°<θ<90°) is 60 degrees 90 degrees 30 degrees 45 degrees None 20. Choose the word that best completes the sentence:In his speech, he made a flattering _______ to your work. application applause appearance appetite allusion None 21. 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? $40,000 $25,000 $15,000 $10,000 $30,000 None 22. Evaluate correct to two decimal places 50 + 1/50 + 3/500 + 25/5000 50.25 50.20 50.02 50.30 50.03 None 23. Simplify: (9^{-1/2 }× 81^{3/4}) ÷ (9^{1/2}) 1/9 1 3 1/3 9 None 24. The probability of obtaining a prime number in a single toss of fair die is 1/4 1/3 1/6 1/2 None 25. 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 is tripled halved quadrupled reduced by a factor of 4 doubled None 26. Which of the following points is located on the curve y =2x² - 3x - 5 ? (3,4) (2, -1) (1, 3) (0, 5) None 27. If ax² + 6x + k is a perfect square, then k equals 3/a 9 3 9/a 9a None 28. What is the lowest common multiple of the prime numbers between 1 and 10? 35 90 70 210 105 None 29. If sin-¹(0.966) = 75°, then sin-¹(-0.966) equals 195 or 285 degrees 75 or 105 degrees 255 or 285 degrees 105 or 255 degrees None 30. The locus of a point which is equidistant from the lines y - x = 0 and y + x = 0, for x > 0, is the y-axis x-axis line y = 1 line x = 1 line x = y None 31. sec θ sin(90° - θ) equals 90° 1 0 cot θ tan θ None 32. If a : b = 3 : 4 and m : n = 2 : 5Find a/m : b/n 8 : 15 15 : 8 3 : 10 5 : 9 10 : 3 None 33. The sum of prime numbers between 1 and 15 is 42 40 41 39 None 34. 8.048 to the nearest tenth is 8.1 8.0 8 10 8.05 None 35. The 5th and 10th terms of an AP are 0 and 10 respectively, the 20th term is 30 36 20 40 None 36. A binary operation * is defined over the set of real numbers such thata * b = a (b + 2). Find 3 * (4 * 2). 18 60 72 54 80 None 37. The intercept of the line y = 3x on the x-axis is 1 1/3 3 0 None 38. A man bought a wrist watch for $750.00 and re-sold it for $600.00. His percentage loss was? 20% 25% 22.5% 15% None 39. 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 is 65 degrees 100 degrees 115 degrees 130 degrees None 40. When a polynomial f(x) is divided by (2x - 3), the quotient is x² - x + 2 and the remainder is -1. Find f(x) 2x³ - 5x² + 7x - 7 2x³ + 5x² - 3x + 7 2x³ - 5x² + 7x - 7 2x³ + 5x² - 7x + 5 can't be gotten None 41. A ladder resting against a vertical wall makes an angle tan-¹(2.4) with the ground. If the foot of the ladder is 1 m from the wall, what is the length of the ladder? 5.2 m 2.6 m 1 m 2.4 m None 42. The variance for the set of numbers 3, 6, 9, 12, 15 is 36 24 15 18 12 None 43. Choose the word that best completes the sentence:The announcement was made to deafening ___________. appearance appeal appetite apology applause None 44. A worker employed in 1992 on a salary of $50,000 a year had his salary increased annually in arithmetic progression. If his salary in 1997 was $80,000, what was his salary in 1995? $68,000 $62,000 $56,000 $70,000 $65,000 None 45. Choose the word that best completes the sentence:Could you please give me a/an ________ account. luxury glowing great itemised dreadful None 1 out of 45 Time's upTime is Up!