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 probability of obtaining a number less than 5 in a single toss of a fair die is 1/2 2/3 1/6 1/3 2. 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 3. A G.P has a common ratio of 3. If the difference between the 1st term and 5th term is 160, the 5th term is 160 180 162 120 4. Evaluate: 81^{-1/4 } × 36^{1/2 }×10^{0} 3 0 1 2 10 5. 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 65 degrees 130 degrees 115 degrees 6. If (x-1), x, (x+2) form an exponential sequence. What is the value of x? 0 -2 2 1 -1 7. The number 1.5714286, corrected to five decimal places, is 1.5714 1.57140 1.57100 1.57143 8. Evaluate: 27.63² - 22.37² 27.7 241.3 263.0 189.0 9. Factorize: 32a³ - 8ab² 4(4a+b)(2a-b) 8a(2a+b)(2a-b) 8a(2a-b) 4(2a+b)(4a-b) 10. If 45% of the Nigerian naira (N) is equal to 35% of the American dollar ($), the conversion rate of $1 = N 20/7 N 7/20 N 20/9 N 7/9 N 9/7 11. Reduce each number in the following expressions to two significant figures and then evaluate: ( 0.04371 × 2.44913 ) ÷ 0.047512 2.6 1.6 1.8 2.4 2.2 12. How long will it take for a sum of money invested at 8% simple interest to double the original sum? 8 yrs 10.5 yrs 12.5 yrs 12 yrs 13. Choose the word that best completes the sentence:The board ______ to make the decision by next Thursday. has have want wants 14. Sorry, she can't come to the phone. She _______ a bath (Fill in the blanks) have having is having has 15. Choose the word that best completes the sentence:The famous singer and composer ________ arrived. had has have were 16. Simplify: (2^{y }- 2^{y - 1}) ÷ (2^{3 }× 2^{y} – 8 × 2^{y – 1}) 2y 4 1/4 2y - 2 1/8 17. Choose the word that best completes the sentence:Each of our staff members _____ to fill in an evaluation form. are have has were 18. A regular polygon with (2m + 1) sides has each interior angle equal to 144°. The value of m is 10 5 9/2 8 19. Which of the following operations is/are NOT closed over the set of odd integers?I. DivisionII. SubtractionIII. AdditionIV. Multiplication I & III only all of the above none of the above I, II & III only IV only 20. Solve the simultaneous equations2/x + 1/y = 33/x - 2/y = 8 x = 1/2, y = 1 x = 1/2, y = -1 x = 1, y = 2 x = 1, y = -2 x = -1, y = 2 21. Choose the word that best completes the sentence:They don`t always agree but I think there is a bond of _______ affection between them. sweet unseen deep somewhat ugly 22. The volume of a cone of radius 6 cm and vertical height 7 cm is take (π= 22/7) 42 cm3 264 cm3 26.4 cm3 21 cm3 23. 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 8,224 cm3 8,552 cm3 12,000 cm3 9,888 cm3 24. Evaluate: (2^{-3 }× 16^{3/4} × 2^{0}) 1 2 0 1/2 -1/2 25. 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 is 1500 cm3 540 cm3 864 cm3 900 cm3 26. Two siblings Taiwo and Kehinde went out to lunch at a restaurant. If Taiwo contributed 40% of the cost and Kehinde contributed the balance, which is £150, the cost of the lunch was? £280 £250 £300 £375 £350 27. Correct adjectival order?An interesting young woman. True False 28. The maximum value of the function g(x) = -x² - 6x + 10 is 10 19 1 4 -3 29. Choose the word that best completes the sentence:Everyone ____ expected to come with their passports. are was is were 30. 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 + 5 2x³ + 5x² - 3x + 7 can't be gotten 2x³ - 5x² + 7x - 7 2x³ - 5x² + 7x - 7 31. Divide (2x³ - xy² + y³) by (x + y) 2x² - 2xy + y² 2x² - y² 2x² - 2xy 2x² + xy 2x² + 2xy + y² 32. A bag contains 4 red, 8 green and 6 blue ball of identical size. The probability that a ball selected randomly is either red or green is 1/3 2/3 4/9 2/9 33. What is the lowest common multiple of the prime numbers between 1 and 10? 90 105 70 210 35 34. Choose the word that best completes the sentence:The creator and distributor of the software ______ Energesix Ltd. are is has have 35. Choose the word that best completes the sentence:Many of the headlines in the newspaper ______ hard to believe. seems is seem were 36. A motorist drives from Manchester to Chichester at an average speed of 80 km/hr and immediately returns through the same route at an average speed of 50 km/hr. Find the average speed for the round-trip journey. 96.0 km/hr 65.0 km/hr 53.3 km/hr 60.0 km/hr 62.5 km/hr 37. 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 38. Choose the word that best completes the sentence:We need to make sure that there is enough _________ accommodation to house all the delegates. dreadful yellow wholehearted luxury careless 39. 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) = -3 x = 1, f(x) = -2 x = -1, f(x) = -4 40. The probability that a sum of 10 will appear in two tosses of a fair die is 1/4 1/6 1/12 5/18 41. 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 42. The line 3y - x = 7 makes an angle of θ with the positive x-axis. Find the value of sin θ. √10/10 3/7 3√10/10 1/3 3√10 43. 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 44. The subsets X,Y and Z of a universal set are defined asX = {a, e, m, p} ; Y = {a, e, i, o, u} andZ = {l, m, n, o, p, q, r, s, t, u}The elements of X ∪ (Y ∩ Z) are {m, p, o, u} {a, e, m, o, p} {a, e, m, p, u} {a, e, m, o, p, u} 45. Simplify: 4 × 4^{-n} × 2^{2n-2} 0 2 2n - 1 2n 1 1 out of 45 Time is Up! Time's up