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CSEC Mathematics · May/June 2008 · Paper 2

80 questions and parts from this paper. Open one to see it in full, then practise it on Quelpr and get it marked against the mark scheme.

Practise this paper
  1. 1(a)(i)2 marksdetermine the EXACT value of (3.9 × 0.27) + √0.6724.
  2. 1(a)(ii)3 marksExpress as a single fraction 2 1/2 - 4/5 / 3/4.
  3. 1(b)(i)2 marksWhat is the value of the camera in Jamaican dollars?
  4. 1(b)(ii)3 marksAfter buying the camera, how many Canadian dollars does he have left on his credit card for spending?
  5. 2(a)(i)1 marka(b + c)
  6. 2(a)(ii)2 marks4b²-2ac / a+b+c
  7. 2(b)(i)1 markFour times the sum of x and 5
  8. 2(b)(ii)2 marks16 larger than the product of a and b
  9. 2(c)2 marksSolve the equation 15 - 4x = 2(3x + 1).
  10. 2(d)(i)2 marks6a²b³ + 12a⁴b
  11. 2(d)(ii)2 marks2m²+9m-5.
  12. 3(a)2 marksCalculate the value of t, the number of students who were interested in becoming doctors.
  13. 3(b)(i)4 marksCalculate the size of the angle in each sector of the pie chart.
  14. 3(b)(ii)4 marksUsing a circle of radius 4 cm, construct the pie chart to represent the data.
  15. 4(a)(i)5 marksDraw a Venn diagram to represent the sets M, N and U.
  16. 4(a)(ii)1 markList the elements of the set (M ∪ N)'.
  17. 4(b)(i)5 marksUsing only a pair of compasses, a ruler and a pencil, construct parallelogram ABCD in which AB = AD = 7 cm and the angle BAD is 60°.
  18. 4(b)(ii)1 markMeasure and write down the length of the diagonal AC.
  19. 5(a)(i)1 markCalculate the length of RS.
  20. 5(a)(ii)1 markHence state the value of x.
  21. 5(b)3 marksCalculate the perimeter of the entire floor.
  22. 5(c)3 marksCalculate the area of the entire floor.
  23. 5(d)4 marksHow many flooring boards are needed for covering Section A?
  24. 6(a)(i)1 markCopy the diagram and insert the angles of elevation.
  25. 6(a)(ii)a)5 marksCalculate to one decimal place the length of HJ.
  26. 6(a)(ii)b)5 marksCalculate to one decimal place the length of JK.
  27. 6(b)(i)2 marksDescribe this transformation completely.
  28. 6(b)(ii)a)4 marksOn the answer sheet provided, draw and label the line y = x.
  29. 6(b)(ii)b)4 marksOn the answer sheet provided, draw and label S, the image of P under a reflection in the line y = x.
  30. 7(a)(i)1 markState the value of c.
  31. 7(a)(ii)2 marksDetermine the value of m.
  32. 7(a)(iii)2 marksDetermine the coordinates of the mid-point of the line segment AB.
  33. 7(b)3 marksDetermine the value of k.
  34. 7(c)4 marksDetermine the coordinates of the point of intersection of the line y = x - 2 and the line shown above.
  35. 8(a)2 marksWhat was the TOTAL cost of the stamps?
  36. 8(b)(i)3 marksWhat stamps can she select from the collection, to make up this amount if she must use as many $4.00 stamps as possible?
  37. 8(b)(ii)2 marksWhat stamps can she select from the collection, to make up this amount if she must use all her $1.00 stamps?
  38. 8(c)(i)3 marksWhat is the LARGEST number of stamps that she can use from the collection to post the parcel?
  39. 8(c)(ii)3 marksList the selection of stamps she can use.
  40. 9(a)(i)1 markx² × x³ ÷ x⁴
  41. 9(a)(ii)2 marksa²b^(3/5) × √ab³.
  42. 9(b)(i)1 markf(2)
  43. 9(b)(ii)2 marksf⁻¹(0)
  44. 9(b)(iii)2 marksf⁻¹f(2)
  45. 9(c)(i)4 marksUsing a scale of 2 cm to represent 10 minutes on the horizontal axis and a scale of 2 cm to represent 10 degrees on the vertical axis, construct a temperature-time graph to show how the liquid cools in the 60 minute…
  46. 9(c)(ii)a)3 marksUse your graph to estimate the temperature of the liquid after 15 minutes.
  47. 9(c)(ii)b)3 marksUse your graph to estimate the rate of cooling of the liquid at t = 30 minutes.
  48. 10(a)6 marksSolve the following pair of equations for x and y: y + 4x = 27 and xy + x = 40.
  49. 10(b)(i)a)2 marksState, using arguments based on the graph, whether the cricket club can have as members: 10 boys and 5 girls.
  50. 10(b)(i)b)2 marksState, using arguments based on the graph, whether the cricket club can have as members: 6 boys and 6 girls.
  51. 10(b)(ii)4 marksWrite down the set of THREE inequalities that define the shaded region.
  52. 10(b)(iii)a)3 marksWrite an expression in x and y that represents the total profit made by the company on the sale of uniforms.
  53. 10(b)(iii)b)3 marksCalculate the minimum profit the company can make.
  54. 11(a)(i)2 marksCalculate, giving reasons for your answer, the size of angle PTS.
  55. 11(a)(ii)2 marksCalculate, giving reasons for your answer, the size of angle RPQ.
  56. 11(b)(i)3 marksCalculate the value of θ to the nearest degree.
  57. 11(b)(ii)2 marksCalculate the area of triangle AOB.
  58. 11(b)(iii)3 marksHence, calculate the area of the shaded region. [Use π = 3.14].
  59. 11(b)(iv)3 marksCalculate the length of the major arc AB.
  60. 12(a)(i)1 markDraw a diagram showing the journey of the ship from R to S to T. Show on your diagram the North direction.
  61. 12(a)(ii)2 marksDraw a diagram showing the journey of the ship from R to S to T. Show on your diagram the bearings 112° and 033°.
  62. 12(a)(iii)1 markDraw a diagram showing the journey of the ship from R to S to T. Show on your diagram the points R, S and T.
  63. 12(a)(iv)1 markDraw a diagram showing the journey of the ship from R to S to T. Show on your diagram the distances 75 km and 56 km.
  64. 12(b)(i)1 markCalculate the size of angle RST.
  65. 12(b)(ii)3 marksCalculate the size of angle RTS.
  66. 12(b)(iii)2 marksCalculate the bearing of R from T.
  67. 12(c)(i)1 markShow on your diagram the journey from T to X.
  68. 12(c)(ii)3 marksCalculate the distance TX.
  69. 13(a)2 marksCopy the diagram and complete it to show the points of P and M.
  70. 13(b)(i)1 markShow the position of N on your diagram.
  71. 13(b)(ii)5 marksExpress in terms of a and b the vectors AB, PA and PM.
  72. 13(c)4 marksUse a vector method to prove that P, M and N are collinear.
  73. 13(d)3 marksCalculate the length of AN if a = (6, 2) and b = (1, 2).
  74. 14(a)4 marksEvaluate X² + Y.
  75. 14(b)2 marksFind the 2 x 2 matrix which maps Q' back to Q.
  76. 14(c)(i)a)4 marksDetermine the value of k.
  77. 14(c)(i)b)4 marksHence write down the coordinates of E' and F'.
  78. 14(c)(ii)a)5 marksDetermine the 2 x 2 matrix that represents a clockwise rotation of 90° about the origin.
  79. 14(c)(ii)b)5 marksDetermine the coordinates of D''E''F'', the image of D'E'F', under this rotation.
  80. 14(c)(ii)c)5 marksDetermine the 2 x 2 matrix that maps triangle DEF onto triangle D''E''F''.

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