Welcome to your Free MOCK Exams Senior Class WAEC/NECO NAME EMAIL PHONE NUMBER 1. After getting a pay rise of 20%, a man's new annual salary is N21,600. His salary before the pay rise was N17,280 N17,700 N16,680 N18,000 2. The weights to the nearest kg of a group of students are recorded in the following tableCalculate the median weight 24.5 kg 56.4 kg 43.4 kg 52.5 kg 3. The profit on a business was shared between two partners Tolu and Gbemi in the ratio 3 : 4. If Gbemi received N8,000 more than Tolu, the profit was N42,000 N32,000 N56,000 N24,000 4. If the shadow of a pole 7 m high is half of its length, what is the angle of elevation of the sun 63° 34° 23° 12° 5. The side of a square of length 5 cm is increasing at 0.1m/s. What is the rate of increase of the area of the square? 3cm² 4 cm² 1cm² 2cm² 6. The seventh term of the G.P 16/9, -8/3, 4, ... is 81/4 -32/3 -9/2 16 7. Write the value of the angle in surd form sin 240° -√3/2 -√2 √3/2 √2 8. The nth term of the A.P 10, 3, -4, ... is 18 - 7n 18 + 7n 16 - 7n 17 - 7n 9. John was 40 years old in 1995 while his father was 65. In what year was John exactly half his father's age? 1990 1985 1980 1978 10. If 4/3, m, 1, n form a G.P, the product of m and n is 4/3 3/4 1 9/16 11. The following marks were obtained by candidates in an examination What percentage of the candidates scored above 70 marks? 8.4% 4.5% 15.2% 11.4% 12. Differentiate the function wrt x: 1/4x² 1/2 + 3x + 1/4x² 3x + 1/4x² 1/2 - 1/4x² 13. Decompose into partial fractions : (2x2 + 6x - 2) / (x3 - 1) 4/ 3x+2x² -1 2/ x²+1 2/(x² - 1) + 4/(x2 + 2x + 1) 2/(x - 1) + 4/(x²+ x + 1) 14. Two brothers Kameel and Kafeel owned a business in which the ratio of shares was 3 : 2 respectively. Kafeel later sold ½ of his share to Kameel for £12,000. The value of the business was £60,000 £84,000 £24,000 £48,000 15. If 1012 x P2 = 111102, find the value of P 101 10 11 110 16. Find the value of M if -2/3 5/3 2/3 -5/3 17. Find the value of cosec 90° 2 1 0 -1 18. The baking recipe for a piece of brownie cake is given as 1.5 cups of sugar and 3.5 cups of flour. If a cake is baked, based on this recipe with a total of 40 cups of sugar and flour, the number of cups of sugar used is 8 12 20 15 19. Decompose into partial fractions : (8x + 14) / (x + 1)(x + 5) 3/(2(x + 5)) + 13/(2(x + 6)) 3/(2(x + 1)) + 13/(2(x + 5)) 13/(2(x + 5)) 3/2(x+5) 20. IfA = , write the value of det A 0 1 x+y x-y 21. The marks scored by students in a test are recorded in the table belowCalculate the standard deviation 1.34 2.13 2.34 1.84 22. Find the value of cos 200° sin 160° + sin (- 340°) cos (- 380°) -1 0 1 2 23. Iffind f(A) where f(x) = x² - 5x - 2 2 0 1 -1 24. Find the range of the following data1/4, 5/8, 3/10, 2/5, 7/10, 7/8, 3/4 3/5 7/10 5/8 3/4 25. Find the range and interquartile range, respectively, of the following data20, 30, 25, 28, 35, 25, 20, 27, 24 15, 3 12, 5 11, 4 15, 7 26. Decompose into partial fractions : (5x2 + 12x + 3) / x(x + 1)2 x + 2/(x + 1) 3/x + 2/(x + 1) + 4/(x + 1)² 4/(x + 1)² +3/x 2/(x+7) - 3/x²- 2/(x + 1)² 27. A trader sold an article for N 660.00 at a profit of 20%.In order to make a profit of 30%, the article should have been sold for N715 N858 N990 N792 28. Given that ax4 – 2x3 + cx2 – 6x – 9 = 0. When x = -1 or 3, calculate the values a and c, respectively. 1, 2 0, -1 1, 0 2, -1 29. A dealer makes a profit of 20% by selling a crate of soft soft drinks for £600.00. The cost of the crate of soft drinks to the dealer was £500.00 £540.00 £520.00 £480.00 30. Simplify 1/y 1-y/ y 1+y/ y 1/ 1-y 31. Find the area bounded by the curve y = -5 + 6x - x² and the x-axis 12 43 32/3 24.7 32. Solve the following equation for x 0, 4a 0, 3a 2a, 4a² 1, 2 33. Add the polynomials: (x2y + 3x + 2) + (2 + 2 xy2 + 3x) 3x²y+6x+4 3x²y²+6x+4 x²y+2xy²+6x+4 3xy²+6x+4 34. Find the range and interquartile range, respectively, of the following data20, 30, 25, 28, 35, 25, 20, 27, 24 13, 9 15, 7 12, 6 15, 6 35. A bag contains white, blue and red ping pong balls in the ratio 8 : 3: 2. There are 10 red balls. If 10 white and 10 blue balls are removed from the bag, the new ratio is 7 : 2 : 1 6 : 1 : 1 6 : 1 : 2 7 : 1 : 2 36. If , find x 5 ±3 ±54 ±2 37. PQRS is a quadrilateral in which, PS is parallel to QR. PQ = 16cm, SR = 15 cm and angle QPS = 60° and angle PSQ = 44°.Calculate <QRS 24° 67° 64° 57° 38. Decompose into partial fractions : (5x + 10) / x(x + 5) x/2 2/x + 3/(x + 5) x/2 + 3/(x+3) 3/ (x+5) 39. Find the area bounded by the curve y = x(2 - x), the x-axis, x=0 and x= 2. 4/3 3 2 4 40. In the triangle below find the value of a 12.2 cm 2.9 cm 10.2 cm 6.7 cm 41. Differentiate the function wrt x: 1/x² 2(x - 1/x²) x²+2 2-3x² 42. Find the remainder when 3x³ + 5x² - 11x + 4 is divisible by x + 3 -1 0 2 1 43. Divide 6x² - 13x + 5 by 2x -1 2x+5 5x-3 x+7y 3x-5 44. Given that a² + b² + c² = 50 and a = 5, √b = 2, find c 2 4.2 5.7 3 45. The gradient of the curve that passes through the point (1, -10) is given by 3x² - 6. Find the equation of the curve. y = x³ - 30 y = x³ + 6x - 5 y = x³ - 6x - 5 y = x³ + 5 1 out of 45 Time is Up! Time's up