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CSEC Mathematics · May/June 2018 · Paper 2

59 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)1 mark73.18 - 5.23 × 9.34
  2. 1(a)(ii)1 mark3.1² / 6.17 + 1.12
  3. 1(b)(i)1 markDetermine Jenny's weekly wage if she served 230 customers.
  4. 1(b)(ii)2 marksIn a good week, Jenny's wage is $1 000.00 or more. What is the LEAST number of customers that Jenny must serve in order to have a good week?
  5. 1(b)(iii)1 markIf W_S is Shawna's weekly wage, in dollars, write a formula for calculating Shawna's weekly wage when she serves m customers.
  6. 1(b)(iv)3 marksIn a certain week, Jenny and Shawna received the same wage for serving the same number of customers. How many customers did they EACH serve?
  7. 2(a)(i)1 mark1 - 4h²
  8. 2(a)(ii)2 markspq - q² - 3p + 3q
  9. 2(b)(i)1 mark3/y = 12
  10. 2(b)(ii)2 marks2x² + 5x - 3 = 0
  11. 2(c)(i)1 markFind the value of F when m = 3, u = -1, v = 2 and t = 1.
  12. 2(c)(ii)2 marksMake v the subject of the formula.
  13. 3(a)4 marksUsing a ruler, a pencil and a pair of compasses, construct the triangle ABC, such that AB = 8 cm, ∠BAC = 30° and AC = 10 cm.
  14. 3(b)(i)1 markState the coordinates of the point Q.
  15. 3(b)(ii)2 marksThe line PQ is mapped to P'Q' by an enlargement, centre O and scale factor 3. On the diagram above, draw the line P'Q'.
  16. 3(b)(iii)2 marksThe Δ OPQ undergoes a reflection in the line y = 0 to produce the image O''P''Q''. On the diagram above, draw the Δ O''P''Q''.
  17. 4(a)(i)1 markWhat is the value of f(1)?
  18. 4(a)(ii)1 markFind the value of x for which f(x) = -2.
  19. 4(a)(iii)2 marksAn ordered pair for the function is expressed in the form (a, b). Using your answers to (a) (i) and (a) (ii), or otherwise, list the ordered pairs for the function, f.
  20. 4(a)(iv)1 markExplain why f(x) ≠ 5 for the function specified on page 13.
  21. 4(b)(i)a)1 mark3x - 1 < 11
  22. 4(b)(i)b)1 mark2 ≤ 3x - 1
  23. 4(b)(ii)2 marksRepresent the solution to 2 ≤ 3x - 1 < 11 on the number line shown below.
  24. 5(a)(i)1 markCalculate the value of x.
  25. 5(a)(ii)1 markWhat percentage of the students chose cricket?
  26. 5(a)(iii)2 marksGiven that 40 students chose tennis, calculate the TOTAL number of students in the group.
  27. 5(b)(i)1 markComplete the following table using the information in the diagram.
  28. 5(b)(ii)1 markWhat is the modal number of goals scored by the team?
  29. 5(b)(iii)1 markDetermine the median number of goals scored by the team.
  30. 5(b)(iv)2 marksCalculate the mean number of goals scored by the team.
  31. 6(a)(i)1 markthe circumference of the disc
  32. 6(a)(ii)2 marksthe area, in mm², of the cross-section of the disc.
  33. 6(a)(iii)3 marksGiven that the thickness of the disc is 2 mm, calculate the maximum number of discs that can be constructed from 1000 cm³ of available metal. (1 cm³ = 1 000 mm³)
  34. 6(b)(i)1 markWhat length of string would represent an actual distance of 500 km on the globe?
  35. 6(b)(ii)2 marksThe distance between Palmyra (P) and Quintec (Q) is represented on the globe by a string of length 25 cm. Calculate the value of PQ, the actual distance, in km, between P and Q.
  36. 7(a)2 marksDraw Figure 4 of the sequence.
  37. 7(b)(i)2 marksComplete the row for Figure 4, including the number of squares (S) and perimeter (P).
  38. 7(b)(ii)2 marksComplete the row where the number of squares (S) is 43, including the figure number and perimeter (P).
  39. 7(b)(iii)2 marksComplete the row for Figure n, including the number of squares (S) and perimeter (P).
  40. 7(c)2 marksDetermine the relationship between the number of squares, S, and the perimeter, P, of a figure.
  41. 8(a)(i)2 marksComplete the table above by calculating and inserting the missing values of y.
  42. 8(a)(ii)2 marksOn the diagram on page 25, the ordered pairs shown in the table have been plotted except for the missing ones. Using your answers in (a) (i), plot the missing points and connect all the points with a smooth curve.
  43. 8(a)(iii)3 marksBy drawing an appropriate straight line on the diagram on page 25, find approximate solutions to the equation 3x + 1/x = 6.
  44. 8(b)(i)1 markCalculate the acceleration, in ms⁻², of the car during Stage B.
  45. 8(b)(ii)3 marksCalculate the average speed of the car during Stage B.
  46. 8(b)(iii)1 markAt time t = 60 seconds, the car starts to slow down with a uniform deceleration of 2.5 ms⁻². Determine how long it will take the car to come to rest.
  47. 9(a)(i)1 markDetermine the bearing of B from F.
  48. 9(a)(ii)2 marksCalculate the distance BG, giving your answer to one decimal place.
  49. 9(a)(iii)3 marksCalculate, to the nearest degree, the bearing of G from B.
  50. 9(b)(i)2 marksDetermine, giving a reason for your answer, ∠ABC
  51. 9(b)(ii)2 marksDetermine, giving a reason for your answer, ∠CMB
  52. 9(b)(iii)2 marksDetermine, giving a reason for your answer, ∠NCM
  53. 10(a)(i)2 marksFind the value of a and of b.
  54. 10(a)(ii)2 marksDetermine the transformation matrix that maps A' to A.
  55. 10(a)(iii)a)2 marksFind the single 2 × 2 matrix that represents the combined transformation of T followed by P.
  56. 10(a)(iii)b)1 markHence, find the image of the point (1, 4) under this combined transformation.
  57. 10(b)(i)2 marksComplete the statement below on the geometric properties of the following vectors. Vector AB and vector DC are _______________ and |vector AB| is _______________ times |vector CD|.
  58. 10(b)(ii)1 markExpress vector BC in terms of m and n.
  59. 10(b)(iii)2 marksL is the midpoint of CD. Find vector BL in terms of m and n.

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