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CSEC Mathematics · 2009 (second paper) · Paper 2

42 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.

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  1. 1(a)3 marksCalculate the EXACT value of \frac{2\frac{1}{3} - \frac{5}{6}}{2\frac{1}{4}}.
  2. 1(b)3 marksConvert JM 2000 to US , given US 1.00 = JM 70.50, giving your answer to two decimal places.
  3. 1(c)(i)2 marksCalculate the TOTAL mass, in kilograms, of the eleven-member team.
  4. 1(c)(ii)2 marksThe captain weighs 90 kg. Calculate the mean (average) mass of the other 10 members of the team.
  5. 2(a)3 marksSimplify \frac{8x^5 \times 3x^2}{12x^4}.
  6. 2(b)3 marksIf m = 3 and n = -4, calculate the value of mn + n^2.
  7. 2(c)4 marksSolve the equation \frac{2}{3}x - 1 = \frac{1}{2}x.
  8. 3(a)(i)1 markCalculate the profit made by selling one calculator.
  9. 3(a)(ii)2 marksExpress your answer in (i) above as a percentage of the cost price.
  10. 3(a)(iii)a)2 marksCalculate the discount on the purchase.
  11. 3(a)(iii)b)2 marksCalculate the price paid for the calculator.
  12. 3(b)3 marksIf the TOTAL cost of the stove on hire purchase is $4064.00, calculate the amount of EACH monthly instalment.
  13. 4(a)5 marksSolve for x and y: 3x - y = 5 2x + 5y = 9
  14. 4(b)(i)1 markWrite an expression in x to represent the amount of money paid to Pearl.
  15. 4(b)(ii)a)2 marksWrite an equation in x to represent this information.
  16. 4(b)(ii)b)2 marksDetermine the value of x.
  17. 5(a)(i)2 marksCalculate the interest earned at the end of 18 months.
  18. 5(a)(ii)2 marksCalculate the amount of time that is required to earn $2000 in interest.
  19. 5(b)6 marksCalculate the missing values at (i), (ii), (iii), (iv), (v) and (vi) in the electricity bill.
  20. 6(a)5 marksUsing a pencil, a ruler and a protractor only, draw accurately the quadrilateral KLMN such that: KN = MN = 6\text{ cm}, \angle KNM = \angle NKL = 90^\circ, and KL = 10\text{ cm}.
  21. 6(b)(i)1 markMeasure and state the length of LM.
  22. 6(b)(ii)1 markMeasure and state the size of angle NML.
  23. 6(c)2 marksState ONE reason why KL is parallel to NM.
  24. 6(d)1 markWhat type of quadrilateral is KLMN?
  25. 7(a)(i)2 marksCalculate the circumference of the complete circle ABCD.
  26. 7(a)(ii)2 marksCalculate the length of the minor arc ADC.
  27. 7(a)(iii)3 marksCalculate the perimeter of the closed field ABCO.
  28. 7(b)3 marksCalculate the speed of the athlete in \text{m}\text{s}^{-1}.
  29. 8(a)2 marksWrite down the coordinates of A and A'.
  30. 8(b)3 marksDescribe FULLY the transformation which maps ABCD onto A'B'C'D'.
  31. 8(c)5 marksOn the answer sheet provided, draw and label A''B''C''D'', the image of A'B'C'D' after a reflection in the line x = 5.
  32. 9(a)(i)1 markUsing the graph, state the value of y when x = -1.
  33. 9(a)(ii)1 markUsing the graph, state the value of x when y = 5.
  34. 9(b)(i)2 marksDetermine the gradient of the line segment AB.
  35. 9(b)(ii)2 marksDetermine the equation of the line segment AB.
  36. 9(b)(iii)2 marksDetermine the coordinates of the point where AB cuts the x axis.
  37. 9(b)(iv)2 marksDetermine the equation of the line which is perpendicular to AB, and passes through the origin.
  38. 10(a)2 marksCopy and complete the frequency table to represent the data shown in the histogram.
  39. 10(b)2 marksHow many students are members of the Computer Club?
  40. 10(c)3 marksCalculate the mean age of the students in the Computer Club.
  41. 10(d)1 markHow old is Javed?
  42. 10(e)2 marksCalculate the probability that a student chosen at random is twelve years old or younger.

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