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. If 4 sin²θ - 3 = 0, the value of θ for 0° < θ < 90° is 30 degrees 60 degrees 90 degrees 45 degrees 2. Sinθ Cotθ is equal to Cosθ Cosecθ Tanθ Secθ Sinθ 3. 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 100 degrees 115 degrees 130 degrees 65 degrees 4. 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 be 4(3a) - 3a = 2000 4(a) - 3(3a) = 2000 4(a) + 3(3a) = 2000 4(3a) + 3a = 2000 5. Four of the interior angles of a pentagon are equal and each is twice the fifth angle. What is the value of each of the four equal angles? 60° 75° 120° 135° 90° 6. How long would it take a sum of money invested at 6% per annum simple interest to increase to $17,750? 8 years 9 years 10 years 6 years 7 years 7. Simplify: (2y - 2y - 1) ÷ (23 × 2y – 8 × 2y – 1) 1/4 2y - 2 2y 1/8 4 8. sec θ sin(90° - θ) equals 1 90° 0 tan θ cot θ 9. 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 N950 N1,050 N1,000 N1,100 10. A couple contribute 10% and 7% of their respective incomes into a mutual funds account. If they earn $35,000 and $22,000 per annum respectively, what is the total amount saved in the account after one year? $7,650 $9,690 $5,040 $5,000 $4,845 11. The probability that a number selected at random from 1 to 40 is a multiple of 7 is 1/10 1/8 7/20 3/20 12. A number is selected randomly from the set of integers 1 to 20 inclusive. What is the probability that the number is either a multiple of 3 or a multiple of 5 3/10 9/20 1/2 11/20 13. If 1010102 = x10 + 11112, the value of x is 27 19 13 32 14. 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 - 3x + 7 2x³ - 5x² + 7x - 7 can't be gotten 2x³ - 5x² + 7x - 7 2x³ + 5x² - 7x + 5 15. Choose the word that best completes the sentence:Everyone ____ expected to come with their passports. were are was is 16. A string of length 66 cm is shaped into an arc of a circle of radius 28 cm. The angle of the sector is 45 degrees 120 degrees 135 degrees 90 degrees 17. Find the values p and q in the arithmetic progression -12, p, q, 18, ... 1, 11 -1, 8 0, 9 -2, 8 18. Choose the option that best completes the sentence:Why can't you wear your __________ dress tonight. pink silk Both None silk pink 19. Factorize: 5x²+2ax-3a² (5x-a)(x+3a) (x-a)(5x+3a) (5x+a)(x-3a) (x+a)(5x-3a) 20. A cone of height 12 cm has a volume of 330 cm³. The volume of a cone wih the same radius but of height 8cm is 220 cm3 270 cm3 146 2/3 cm3 300 cm3 21. A sector of a circle of radius 14 cm which subtends an angle of 120° at the center is bent to form a cone. The base radius of the cone is 14 cm 28/3 cm 7/2 cm 14/3 cm 22. The standard deviation for the set of numbers 3, 6, 9, 12, 15 is 2√6 4√2 2√3 6 3√2 23. What is the sum of the following number in base two?1101, 1110, 1001. 100111 100010 100100 100110 10000 24. If (2x - 3)/2x(2x + 1) = P/(2x + 1) + Q/2x. What are the values of P & Q respectively? 3, 4 4, -3 2, -3 2, 3 0, -3 25. Simplify: (32y + 1 × 9y × 42y) ÷ (18y × 2y × 62y) 3 2y 2 3y 1 26. 0.009238 to 3 significant figures. 0.00924 0.923 0.00923 0.01 0.009 27. Choose the word that best completes the sentence:Each of our staff members _____ to fill in an evaluation form. have were are has 28. If f(x) = x² + 2x - 2, find the least value of f(x) and the corresponding value of x x = 0, f(x) = -2 x = 1, f(x) = -2 x = -1, f(x) = -3 x = -1, f(x) = -4 29. 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 is 10,000 km 11,000 km 15,000 km 5,600 km 30. 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? III and IV only all of the above I, III and IV only I and II only I, II and III only 31. If U = {integers x: 0 < x < 10} P = {prime numbers y: 0 < y < 10}, and Q = {odd numbers z: 0 < z < 10}then P' ∩ Q' is {4, 6, 8} {2, 4, 6, 8} {1, 4, 6, 8} Ø { 0 } 32. The difference in longitude betweenP(55°N, 12°W) and Q(15°S, 65°W) is 40° 77° 53° 70° 33. 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 2:5 3:1 25:4 5:2 34. The 5th and 10th terms of an AP are 0 and 10 respectively, the 20th term is 40 36 20 30 35. A ______ of books. (Fill in the blanks) liberty course group pack 36. Class interval: 10-19 20-29 30-39 40-49Frequency: 2 4 3 1What is the mean score? 27.5 27.9 28.9 28.0 28.6 37. The reciprocal of 1/4 ÷ (1/3 + 3/4) is 10/9 8/9 13/3 9/8 3/13 38. I believe in the unity of God. Here 'Unity' means Universal Oneness University Uniqueness 39. 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. £2,383 £2,348 £2,500 £2,360 £2,480 40. Find the lower and upper quartiles for the set of numbers 4, 7, 8, 10, 12, 15, 17, 20, 26, 32, 40 7, 32 8, 20 7, 20 8, 26 10, 20 41. Given that tan²θ + sec²θ = 3, the value of θ (for 0°<θ<90°) is 60 degrees 90 degrees 45 degrees 30 degrees 42. If -1 is a root of the equation -ax² + 6x + 8 = 0, the value of 'a' 1 -2 -1 2 43. The first term of an AP is -1 and the common difference is 0.5. The 6th term is 2.5 0.5 1.0 1.5 44. 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 only II and IV only I, II and IV only all of the above none of the above 45. 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) (3, 0) and (-1, 0) (1, 0) and (-3, 0) (-1, 11) and (3, 3) 1 out of 45 Time is Up! Time's up
