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CSEC Mathematics · May/June 2010 · Paper 2

71 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)3 marksDetermine the EXACT value of: (1 1/2 - 2/5) / (4/5 * 3/4)
  2. 1(a)(ii)3 marksDetermine the EXACT value of: 2.5^2 - 2.89/17, giving your answer correct to 2 significant figures
  3. 1(b)(i)1 markCalculate the cost of ONE T-shirt.
  4. 1(b)(ii)1 markCalculate the amount of money Mrs. Jack received after selling ALL of the T-shirts
  5. 1(b)(iii)1 markCalculate the TOTAL profit made
  6. 1(b)(iv)2 marksCalculate the profit made as a percentage of the cost price, giving your answer correct to the nearest whole number.
  7. 2(a)(i)1 markFind the value of: a + b + c
  8. 2(a)(ii)1 markFind the value of: b^2 - c^2
  9. 2(b)(i)1 markWrite the following phrases as algebraic expressions: seven times the sum of x and y
  10. 2(b)(ii)1 markWrite the following phrases as algebraic expressions: the product of TWO consecutive numbers when the smaller number is y
  11. 2(c)3 marksSolve the pair of simultaneous equations: 2x + y = 7; x - 2y = 1
  12. 2(d)(i)1 markFactorise completely: 4y^2 - z^2
  13. 2(d)(ii)2 marksFactorise completely: 2ax - 2ay - bx + by
  14. 2(d)(iii)2 marksFactorise completely: 3x^2 + 10x - 8
  15. 3(a)(i)2 marksCopy and complete the Venn diagram below to represent the given information above.
  16. 3(a)(ii)2 marksWrite an expression, in x, to represent the TOTAL number of tourists in the survey.
  17. 3(a)(iii)2 marksCalculate the value of x.
  18. 4(a)(i)2 marksFind the value of k.
  19. 4(a)(ii)2 marksCalculate the value of y when x = 30.
  20. 4(b)(i)5 marksUsing a ruler, a pencil and a pair of compasses, construct triangle EFG with EG = 6 cm, ∠FEG = 60° and ∠EGF = 90°.
  21. 4(b)(ii)a)2 marksMeasure and state the length of EF
  22. 4(b)(ii)b)2 marksMeasure and state the size of ∠EFG.
  23. 5(a)(i)a)1 markCalculate the value of f(4)
  24. 5(a)(i)b)2 marksCalculate the value of gf(4).
  25. 5(a)(ii)2 marksFind f^-1(x).
  26. 5(b)(i)1 markUse the graph above to determine the scale used on the x-axis
  27. 5(b)(ii)2 marksUse the graph above to determine the value of y for which x = -1.5
  28. 5(b)(iii)2 marksUse the graph above to determine the values of x for which y = 0
  29. 5(b)(iv)2 marksUse the graph above to determine the range of values of y, giving your answer in the form a ≤ y ≤ b, where a and b are real numbers.
  30. 6(a)(i)2 marksDetermine, giving a reason for EACH of your answers, the value of x
  31. 6(a)(ii)2 marksDetermine, giving a reason for EACH of your answers, the value of y.
  32. 6(b)(i)a)3 marksDescribe the rotation FULLY by stating the centre
  33. 6(b)(i)b)3 marksDescribe the rotation FULLY by stating the angle
  34. 6(b)(i)c)3 marksDescribe the rotation FULLY by stating the direction.
  35. 6(b)(ii)2 marksState TWO geometric relationships between triangle LMN and its image, triangle L'M'N'.
  36. 6(b)(iii)2 marksDetermine the coordinates of the image of the point L under this transformation.
  37. 7(a)3 marksCopy and complete the frequency table for the data shown above.
  38. 7(b)1 markState the lower boundary for the class interval 20 - 29.
  39. 7(c)5 marksUsing a scale of 1 cm on the x-axis to represent 5 metres, and a scale of 1 cm on the y-axis to represent 1 student, draw a histogram to illustrate the data.
  40. 7(d)(i)1 markDetermine the number of students who threw the ball a distance recorded as 50 metres or more
  41. 7(d)(ii)1 markDetermine the probability that a student, chosen at random, threw the ball a distance recorded as 50 metres or more.
  42. 8(a)2 marksOn your answer sheet, draw the FOURTH figure (Fig. 4) in the sequence.
  43. 8(b)(i)2 marksComplete the row for Figure 4 in the table.
  44. 8(b)(ii)2 marksComplete the row for Figure 5 in the table.
  45. 8(b)(iii)2 marksComplete the row for Figure 15 in the table.
  46. 8(b)(iv)2 marksComplete the row for Figure n in the table.
  47. 9(a)(i)a)4 marksUsing the graph, determine the MAXIMUM speed
  48. 9(a)(i)b)4 marksUsing the graph, determine the number of seconds for which the speed was constant
  49. 9(a)(i)c)4 marksUsing the graph, determine the TOTAL distance covered by the athlete during the race.
  50. 9(a)(ii)a)3 marksDuring which time-period of the race was the speed of the athlete increasing
  51. 9(a)(ii)b)3 marksDuring which time-period of the race was the speed of the athlete decreasing
  52. 9(a)(ii)c)3 marksDuring which time-period of the race was the acceleration of the athlete zero?
  53. 9(b)(i)1 markWrite an inequality to represent the THIRD condition.
  54. 9(b)(ii)4 marksUsing a scale of 1 cm to represent one pumpkin on the x-axis and 1 cm to represent one melon on the y-axis, draw the graphs of the THREE lines associated with the THREE inequalities.
  55. 9(b)(iii)1 markIdentify, by shading, the region which satisfies the THREE inequalities.
  56. 9(b)(iv)2 marksDetermine, from your graph, the minimum values of x and y which satisfy the conditions.
  57. 10(a)(i)2 marksCalculate, giving a reason for EACH step of your answer, ∠PTR
  58. 10(a)(ii)3 marksCalculate, giving a reason for EACH step of your answer, ∠TPR
  59. 10(a)(iii)2 marksCalculate, giving a reason for EACH step of your answer, ∠TSR.
  60. 10(b)(i)2 marksCalculate, giving your answer correct to 3 significant figures, the height, FT, of the flagpole
  61. 10(b)(ii)3 marksCalculate, giving your answer correct to 3 significant figures, the length of EG
  62. 10(b)(iii)3 marksCalculate, giving your answer correct to 3 significant figures, the angle of elevation of T from E.
  63. 11(a)(i)2 marksFind AB.
  64. 11(a)(ii)1 markDetermine B^-1, the inverse of B.
  65. 11(a)(iii)2 marksWrite ((x), (y)) as the product of TWO matrices.
  66. 11(a)(iv)2 marksHence, calculate the values of x and y.
  67. 11(b)(i)2 marksCopy the diagram in your answer booklet and show the points M and N.
  68. 11(b)(ii)a)4 marksWrite, in terms of u and v, an expression for vector JK
  69. 11(b)(ii)b)4 marksWrite, in terms of u and v, an expression for vector MN
  70. 11(b)(ii)c)4 marksWrite, in terms of u and v, an expression for vector KL.
  71. 11(b)(iii)2 marksUsing your findings in (b)(ii), deduce TWO geometrical relationships between KL and MN.

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