JAMB Mathematics 2019 past questions and answers

JAMB Mathematics Questions and Answers 2019/2020 Subject: Mathematics Year: 2019

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1. SUBTRACT (14176)8 FROM (17635)8 Ans. (3437) base 8 2. find the sum of p and q. Ans. (7,6 9,15 7,10) 3. find the range values of x satisfying the inequalities 3x-4<8 and 5+x>7 Ans. 2 < or = x < or = 4 4. find the derivative of y=sin(3x²-2x) Ans. (6x – 2) |Cos (3x power 2 – 2x) 5. the pie chart above represents the grades of 250 students in an examination. How many students had excellent Ans. 59 6. the binary operation * is defined on the set of integers such that y*z=yz+y-z. find 3*(2*5) Ans. 71 7. factorize 3x²-27 Ans. 3(x+3) (x-3) 8. find the sum of the first 30 terms of the series 6,12,18?.96 Ans. 2790 9. if it takes 45 women to do a piece of work in 5days, how many women are required to do the work in 3days at the same rate? Ans. 75 10. in the figure above 0 and 0. find the angle marked n Ans. 93 degree 11. find the value of n if (14)n + (26)n=(44)n Ans. 6 12. find the matrix Ans. (1,0 5,1) 13. in how many ways can 6people be seated around a circular table? Ans. 120 14. calculate the mean age of the girls to the nearest year Ans. 15 years 15. find the curved surface area of a cone with circular based diameter 8cm and height 3cm Ans. 20 pie cm power 2 16. evaluate lim??? Ans. 6 17. find the length of the cord to the nearest cm Ans. 40cm 18. bola has 6 different curtains to be hung in her bedroom, living room and kitchen. If one curtain must be hung in each room at a time. In how many ways can this be done Ans. 120 19. find x and y Ans. (3, 14) 20. find the area enclosed by the curve y=x² and the line y=x+2 Ans. S 2 base -1 (x + 2 – x power 2 )dx 21. find the values of x and y respectively, if 2x + 5y = 1 and 3x -2y = 30 Ans. 8, -3 22. the graph above is the solution of the inequalities Ans. 4x+3y < or = 12, y > or = 0, x > or = 0 23. find the range of the following set of marks: 78, 42, 60, 35, 58, 60. Ans. 43 24. if the interest on N120.00 for 1 1/2 years is N5.40, find the interest on N150.00 for 3 months at the same rate Ans. N1.125 25. if log10 4 = 0.6021 and log10 6 = 0.7781, evaluate log10 2.4 Ans. 0.3802 26. in a right-angled triangle if θ = 3/4. what is cos θ and sine θ Ans. 4/5, 3/5 27. if x varies directly as y and inversely as the square of z and x = 5 when y = 2 and z = 1, find z when x = 5 and y = 8 Ans. 2 28. the nth term of a sequence is x2 – 8x + 3. find the sum of the 5th and the 6th terms. Ans. -21 29. what is the value of x, if the distance between the points (5, 7) and 2, x) is 4 units? Ans. 7 + or – square root 7 30. the table above shows the ages of a group of girls. What is the median age of the girls? Ans. 16 years 31. Evaluate 15.03524 – 2.21624 x 0.55, to 2 decimal places. Ans. 13.82 32. Solve 4 power 2 x power -1 x 4x power -1 – 16 Ans. 1/2 33. Find (XUY)' Ans. {2,4,8,14,16} 34. Given v = pie (R power 2 – r power 2), make R the subject of the formula Ans. Square root v / pie r + r power r 35. In a ground of 300 students, 20 offer physics. What is the probability that a student selected at random does not offer physics? Ans. 14/15 36. In the diagram above, O is the center of the circle. RSTU. If o, find Ans. 70 degree 37. Find x in the diagram Ans. 7cm 38. In a survey of 40 fruits sellers, 30 sell orange and 15 sell apple. How many sell both orange and apple? Ans. 5 39. Find x if log base x 32 – 5 Ans. 2 40. An apple seller bought 230 apples for N1,350.00 and sells at 5 for N35.00. What is her profit? Ans. N260.00