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Sine and Cosine Rules · CSEC Mathematics

48 past-paper questions on Sine and Cosine Rules, part of GEOMETRY AND TRIGONOMETRY, from every CSEC Mathematics paper on Quelpr.

Practise Sine and Cosine Rules
  1. 11(b)(iii)3 marks· CSEC Mathematics · 2003 (Specimen) · Paper 2Calculate the distance AC.
  2. 9(b)(ii)3 marks· CSEC Mathematics · 2021 · Paper 2Calculate QR, the distance between the two ships, to the nearest km.
  3. 9(b)(ii)2 marks· CSEC Mathematics · 2022 · Paper 2Calculate RT, the distance between the two ships.
  4. Q571 mark · multiple choice· CSEC Mathematics · May/June 2015 · Paper 1Item 57 refers to triangle ABC below. In the triangle, not drawn to scale, angle BAC = 30^\circ and AB = 40\text{ m}. The length BC, in metres, is
  5. 4(b)(iii)6 marks· Mathematics Q4 4(b)(iii)Calculate the length of VZ.
  6. 6(b)(i)6 marks· Mathematics Q6 6(b)(i)Calculate, correct to one decimal place, the distance PR.
  7. 9(a)(ii)2 marks· Mathematics Q9 9(a)(ii)Calculate the distance BG, giving your answer to one decimal place.
  8. 9(b)(iii)3 marks· Mathematics Q9 9(b)(iii)Calculate the distance RP.
  9. 10(a)(i)3 marks· Mathematics Q10 10(a)(i)Calculate the length of RS.
  10. 10(a)(i)2 marks· Mathematics Q10 10(a)(i)Calculate, correct to 1 decimal place, the length QS.
  11. 10(a)(ii)3 marks· Mathematics Q10 10(a)(ii)Calculate the measure of ∠QTS.
  12. 10(a)(ii)2 marks· Mathematics Q10 10(a)(ii)Calculate, correct to 1 decimal place, the measure of ∠QTS.
  13. 10(b)(i)1 mark· Mathematics Q10 10(b)(i)Calculate, giving your answer to 1 decimal place where appropriate, the measure of ∠RTS.
  14. 10(b)(i)a)3 marks· Mathematics Q10 10(b)(i)a)Calculate, correct to one decimal place, the distance QR.
  15. 10(b)(i)a)2 marks· Mathematics Q10 10(b)(i)a)Calculate the measure of angle ABC.
  16. 10(b)(ii)3 marks· Mathematics Q10 10(b)(ii)Calculate, giving your answer correct to 3 significant figures, the length of EG
  17. 10(b)(ii)3 marks· Mathematics Q10 10(b)(ii)Calculate the distance PR correct to 2 decimal places
  18. 10(b)(ii)3 marks· Mathematics Q10 10(b)(ii)Calculate the distance RP.
  19. 10(b)(ii)2 marks· Mathematics Q10 10(b)(ii)Calculate, to the nearest km, the distance between Bellville (B) and Comptin (C).
  20. 10(b)(ii)3 marks· Mathematics Q10 10(b)(ii)Calculate, giving your answer to 1 decimal place where appropriate, the length of ST.
  21. 10(b)(ii)a)7 marks· Mathematics Q10 10(b)(ii)a)Calculate the measure of angle JKL.
  22. 10(b)(ii)b)3 marks· Mathematics Q10 10(b)(ii)b)Calculate, giving your answer to 2 significant figures, the measure of KM.
  23. 10(b)(ii)b)1 mark· Mathematics Q10 10(b)(ii)b)Calculate the distance JL.
  24. 10(b)(iii)3 marks· Mathematics Q10 10(b)(iii)Calculate, to the nearest km, the distance AC.
  25. 10(b)(iii)3 marks· Mathematics Q10 10(b)(iii)Calculate the length, to the nearest kilometre, of KM.
  26. 10(b)(iii)3 marks· Mathematics Q10 10(b)(iii)Calculate the measure of <QPR to the nearest degree.
  27. 10(b)(iii)2 marks· Mathematics Q10 10(b)(iii)Calculate, to the nearest degree, the measure of ABC.
  28. 10(b)(iv)2 marks· Mathematics Q10 10(b)(iv)Calculate the measure of ∠LKM to the nearest degree.
  29. 11(a)(ii)3 marks· Mathematics Q11 11(a)(ii)Calculate the distance PQ, giving your answer to the nearest metre.
  30. 11(a)(ii)7 marks· Mathematics Q11 11(a)(ii)Calculate the length of UT.
  31. 11(b)(ii)3 marks· Mathematics Q11 11(b)(ii)Calculate the distance RW, to the nearest metre.
  32. 11(b)(ii)3 marks· Mathematics Q11 11(b)(ii)Calculate, to one decimal place, the distance AC.
  33. 11(b)(ii)11 marks· Mathematics Q11 11(b)(ii)Calculate, to the nearest kilometre, the actual distance GH.
  34. 11(b)(ii)(a)6 marks· Mathematics Q11 11(b)(ii)(a)Calculate, expressing your answer correct to ONE decimal place, the length of MJ.
  35. 11(b)(ii)(b)1 mark· Mathematics Q11 11(b)(ii)(b)Calculate, expressing your answer correct to ONE decimal place, the length of JK.
  36. 11(b)(ii)b)7 marks· Mathematics Q11 11(b)(ii)b)Calculate the length, to the nearest kilometre, of OQ.
  37. 11(b)(iii)3 marks· Mathematics Q11 11(b)(iii)Calculate the size of angle TRW.
  38. 11(d)(i)2 marks· Mathematics Q11 11(d)(i)Calculate, correct to the nearest kilometre, the distance QS.
  39. 11(d)(ii)2 marks· Mathematics Q11 11(d)(ii)Calculate, correct to the nearest kilometre, the distance QT.
  40. 12(a)(i)3 marks· Mathematics Q12 12(a)(i)Calculate the length of the diagonal HF
  41. 12(a)(ii)2 marks· Mathematics Q12 12(a)(ii)Calculate the size of the angle UVW.
  42. 12(a)(iii)7 marks· Mathematics Q12 12(a)(iii)Calculate the length of the side EC.
  43. 12(b)(i)1 mark· Mathematics Q12 12(b)(i)Calculate the size of angle RST.
  44. 12(b)(i)3 marks· Mathematics Q12 12(b)(i)Calculate the distance AC.
  45. 12(b)(i)7 marks· Mathematics Q12 12(b)(i)Using triangle MNT, show that the length of MT to the nearest metre, is 26 m.
  46. 12(b)(ii)3 marks· Mathematics Q12 12(b)(ii)Calculate ∠BCA.
  47. 12(b)(ii)3 marks· Mathematics Q12 12(b)(ii)Calculate the size of angle RTS.
  48. 12(c)(ii)3 marks· Mathematics Q12 12(c)(ii)Calculate the distance TX.

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