Quelpr

CSEC Mathematics

53 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 marksUsing a calculator, or otherwise, calculate the EXACT value of the following: 4 1/5 × 1 1/3 - 1/4
  2. 1(a)(ii)2 marksUsing a calculator, or otherwise, calculate the EXACT value of the following: (4.1 - 1.25^2) / 0.005
  3. 1(b)(i)1 markCalculate the number of people in the stadium when 75% of the seats are occupied.
  4. 1(b)(ii)2 marksAfter the renovation, what will be the percentage increase in the number of seats?
  5. 1(c)2 marksShow that the light flashes 43,200 times in one day.
  6. 2(a)(i)1 markFactorize the following expressions completely: 5h^2 - 12hg
  7. 2(a)(ii)2 marksFactorize the following expressions completely: 2x^2 - x - 6
  8. 2(b)2 marksSolve the equation r + 3 = 3(r - 5).
  9. 2(c)2 marksMake k the subject of the formula 2A = πk^2 + 3t.
  10. 2(d)2 marksWrite TWO inequalities to represent the scenario above.
  11. 3(a)3 marksComplete the following statement: The prism has ____ faces, ____ edges and ____ vertices.
  12. 3(b)(i)1 markUsing a straight edge and compasses only, construct the line representing the fence.
  13. 3(b)(ii)1 markWrite down the length of this fence, in metres.
  14. 3(c)(i)1 markWrite down the mathematical name for the quadrilateral PQRS.
  15. 3(c)(ii)3 marksUsing the diagram above, determine the values of a, b and k.
  16. 4(a)(i)2 marksFind the value of f(4) + f(-4).
  17. 4(a)(ii)a)2 marksCalculate the value of x for which f(x) = 9.
  18. 4(a)(ii)b)1 markHence or otherwise, determine the value of f^-1(9).
  19. 4(b)(i)3 marksDetermine the equation of the line L1.
  20. 4(b)(ii)1 markWhat is the gradient of the line L2, given that L1 and L2 are perpendicular?
  21. 5(a)(i)1 markUsing the cumulative frequency curve, estimate the median.
  22. 5(a)(ii)1 markUsing the cumulative frequency curve, estimate the upper quartile.
  23. 5(a)(iii)2 marksUsing the cumulative frequency curve, estimate the semi-interquartile range.
  24. 5(a)(iv)1 markUsing the cumulative frequency curve, estimate the number of students whose estimate is 2.8 grams or less.
  25. 5(b)(i)2 marksUse the cumulative frequency curve on page 18 to complete the frequency table below.
  26. 5(b)(ii)2 marksFind the probability that the student estimated the mass to be greater than 6 grams.
  27. 6(a)(i)2 marksShow that the area of the rectangle is 2352 cm^2.
  28. 6(a)(ii)3 marksCalculate the area of the shaded region. [Take π to be 22/7.]
  29. 6(b)(i)1 markState the type of triangle shown above.
  30. 6(b)(ii)1 markDetermine the value of angle PNM.
  31. 6(b)(iii)2 marksCalculate the area of the triangle MNP.
  32. 7(a)(i)2 marksComplete Row (i) for Figure 5.
  33. 7(a)(ii)2 marksComplete Row (ii) where Number of Sticks (S) is 156.
  34. 7(a)(iii)2 marksComplete Row (iii) for Figure n.
  35. 7(b)(i)2 marksDetermine the TOTAL number of dots in Figure 7 and Figure 8.
  36. 7(b)(ii)2 marksDetermine the TOTAL number of dots in Figure n and Figure (n + 1).
  37. 8(a)4 marksSolve the pair of simultaneous equations: y^2 + 2y + 11 = x and x = 5 - 3y.
  38. 8(b)(i)3 marksExpress f(x) in the form a(x + h)^2 + k, where a, h and k are constants.
  39. 8(b)(ii)1 markState the minimum value of f(x).
  40. 8(b)(iii)1 markDetermine the equation of the axis of symmetry.
  41. 8(c)3 marksDetermine the acceleration of the car for EACH of the following stages of the journey: Stage 2, Stage 3.
  42. 9(a)(i)2 marksWrite down the mathematical names of the straight lines BC and OA.
  43. 9(a)(ii)a)2 marksDetermine the value of angle x. Show detailed working where necessary and give a reason to support your answer.
  44. 9(a)(ii)b)2 marksDetermine the value of angle y. Show detailed working where necessary and give a reason to support your answer.
  45. 9(b)(i)2 marksCalculate the value of angle w.
  46. 9(b)(ii)1 markDetermine the bearing of P from Q.
  47. 9(b)(iii)3 marksCalculate the distance RP.
  48. 10(a)(i)2 marksDetermine the values of p and q.
  49. 10(a)(ii)3 marksDescribe fully the transformation, M.
  50. 10(b)(i)a)1 markWrite in terms of u and v an expression for vector QS.
  51. 10(b)(i)b)1 markWrite in terms of u and v an expression for vector QM.
  52. 10(b)(ii)2 marksShow that vector MR = 1/3(u + 2v).
  53. 10(b)(iii)3 marksProve that R, M and T are collinear.

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