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. Evaluate: 81-1/4 × 361/2 ×100 3 1 2 0 10 2. If X= {1, 2, 3, 4} and Y = {3, 5, 6}, the elements of (X ∩ Y) ∪ X are {3,5,6} {1,2,4} {1,2,3,4} {3} 3. Two cities London and Lagos are on latitude 60°N and their longitudes are 17°W and 28°E respectively. If R = 6,370 km and π = 22/7, the distance between London and Lagos, measured along the parallel of latitude is 5, 005.0 km 2,359.4 km 2,502.5 km 4,718.8 km 4. 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 approximately 7 h 5 h 10 h 8 h 5. If sum of 4 consecutive numbers is 98 then equation derived for this statement can be written as a + 1 + 2 + 3 = 98 a + (a + 1) + (a + 2) + (a + 3) = 98a a + (a + 1) + (a + 2) + (a + 3) = 98 (a)(1)(2)(3) = 98 6. How long would it take a sum of money invested at 6% per annum simple interest to increase to $17,750? 8 years 10 years 6 years 9 years 7 years 7. A ladder of length 5m rests against a vertical wall and makes an angle 30° with the wall. How far is the foot of the ladder from the wall? 7.07 m 5 m 4.33 m 5/2 m 8. A ball has diameter 20cm. What is the volume of the ball, correct to two significant figures? 5,000 cm³ 3,500 cm³ 4,200 cm³ 6,000 cm³ 4,000 cm³ 9. If ax² + 6x + k is a perfect square, then k equals 3/a 9 3 9a 9/a 10. Points X and Y are respectively 48m North and 20m East of point Z. The distance /XY/ is 60m 52m 68m 44m 11. Choose the word that best completes the sentence:In the factory, men are getting paid more than women and we need to do away with this __________. angle anger animosity announcement anomaly 12. If m > n, then which of the following is NOT correct for all values of m and n? -m² < n² -m < -n m² < n m² > n² 0 < m - n² 13. What is 0.021728 to 3 significant figures? 0.0218 0.021 0.0217 0.02173 0.022 14. Two men and six boys can cut a field in 3 hours. If the men work at 3/2 times that of the boys, how many men are required to cut the field in 2hrs? 6 8 9 4 15. The letters of the word MISSISSIPPI are cut and placed in a bag. If one letter is drawn randomly from the bag, the probability that it is neither an I nor a S is 6/11 3/11 1/2 8/11 16. Simplify: (2.5 × 104) × (2.0 × 10-3) ÷ (12.5 × 105) 0.0025 0.00004 0.0004 0.005 0.0005 17. What is the common factor to the binomial expressions 4x²-9y², 8x³+27y³ and (4x+6y)² ? 4x-6y 4x+6y 2x-3y 2x+3y 18. 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 2/9 4/9 19. 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 is 2/15 3/5 13/15 4/15 20. Simplify: (32y + 1 × 9y × 42y) ÷ (18y × 2y × 62y) 3y 2y 1 2 3 21. 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 15,000 km 11,000 km 5,600 km 10,000 km 22. If x/y = 3/5, then (x-3)/(y-5) is 0 5/3 6/5 3/5 2/5 23. 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? 135° 60° 120° 90° 75° 24. Solve the equation 4/(10+x) + 4/(10-x) = 5/6 -2, 2 -2, 1 -1, -2 -2 ,-2 1, 2 25. Anne spent a quarter of her food budget on provisions, half the balance on staples and one-third of the remainder on beef. If she was left with $350, how much was her food budget? $800 $2,100 $1,050 $1,400 $700 26. The second term of an infinite geometric series is -1/2 and the third term is 1/4. The sum of the series is 1/2 3/2 2/3 2 1 27. Which of the following operations is/are NOT closed over the set of odd integers?I. DivisionII. SubtractionIII. AdditionIV. Multiplication none of the above I & III only all of the above I, II & III only IV only 28. The profit on a business was shared between two sisters Tara and Tise in the ratio 3 : 4. If Tise received $8,000 more than Tara, find the profit shared. $56,000 $42,000 $65,000 $32,000 $24,000 29. A sector of a circle is bounded by two radii each of length 14cm and an arc of length 12 cm. The area of the sector is 63 cm square 84 cm square 168 cm square 42 cm square 30. Convert 6910 to a number in base two 1000101 1010001 1001101 100101 31. Two years ago, a woman was six times as old as her son. Four years from now, she will be three times as old as the son. Find their present ages 40, 10 28, 7 32, 8 30, 7 26, 6 32. Find the value of 'p' in the equation: 4(p - 1/2) = 2p² 3 1/2 1/3 1 2 33. The maximum value of the function g(x) = -x² - 6x + 10 is 1 4 10 19 -3 34. Class interval: 10-19 20-29 30-39 40-49Frequency: 2 4 3 1What is the median score? 27.5 27.0 25.5 24.5 26.0 35. Correct adjectival order?An interesting young woman. True False 36. Simplify: (2y - 2y - 1) ÷ (23 × 2y – 8 × 2y – 1) 4 2y 2y - 2 1/4 1/8 37. To increase the surface area of a sphere by 69%, the percentage increase in diameter should be 34.5% 30% 23% 69% 17.25% 38. Tara received a cash gift from her parents on her 10th birthday. On each succeeding birthday, she received twice the amount received in the previous year. If she had received a total of £31,500 by the time she was 15, the cash gift for her 12th birthday was £1,000 £5,000 £2,000 £4,000 £3,000 39. If f(x) = x² + 2x - 2, find the least value of f(x) and the corresponding value of x x = -1, f(x) = -4 x = -1, f(x) = -3 x = 1, f(x) = -2 x = 0, f(x) = -2 40. Which of the following angles cannot be constructed with a ruler and a pair of compasses only? 105° 120° 112.5° 115° 41. 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 162 180 160 120 42. Evaluate110102 - 110112 + 100112 11000 base 2 11001 base 2 1001 base 2 10010 base 2 43. Each interior angle of an eight sided polygon is equal to 140 degrees 120 degrees 135 degrees 130 degrees 44. If 19x = 240² - 235², the value of x is 25 205 95 125 45. The variance for the set of numbers 3, 6, 9, 12, 15 is 15 18 24 36 12 1 out of 45 Time is Up! Time's up