Pythagoras' Theorem · CSEC Mathematics

34 past-paper questions on Pythagoras' Theorem, part of GEOMETRY AND TRIGONOMETRY, from every CSEC Mathematics paper on Quelpr.

1. 12(a)(ii)2 marks· CSEC Mathematics · 2003 (Specimen) · Paper 2Calculate, correct to three significant figures, the length of AC, the diagonal of the rectangle ABCD.
2. Q581 mark · multiple choice· CSEC Mathematics · January 2013 · Paper 1How far up the wall does the ladder reach?
3. Q601 mark · multiple choice· CSEC Mathematics · January 2014 · Paper 1How far up the wall does the ladder reach?
4. Q601 mark · multiple choice· CSEC Mathematics · January 2017 · Paper 1How far up the wall does the ladder reach?
5. Q601 mark · multiple choice· CSEC Mathematics · May/June 2011 · Paper 1A ladder 5\text{ metres} long is leaning against a vertical wall. The foot of the ladder is 3\text{ m} away from the wall on horizontal ground. How far up the wall does the ladder reach?
6. Q581 mark · multiple choice· CSEC Mathematics · May/June 2012 · Paper 1A ladder 5\text{ metres} long is leaning against a vertical wall. The foot of the ladder is 3\text{ metres} away from the wall. How far up the wall does the ladder reach?
7. Q541 mark · multiple choice· CSEC Mathematics · May/June 2013 · Paper 1In the triangle, the value of x is
8. Q591 mark · multiple choice· CSEC Mathematics · May/June 2015 · Paper 1Item 59 refers to the diagram below which shows a ladder 5\text{ metres} long leaning against a vertical wall. The foot of the ladder is on horizontal ground about 3\text{ metres} away from the wall. How far up the…
9. Q551 mark · multiple choice· CSEC Mathematics · May/June 2016 · Paper 1Item 55 refers to triangle ABC below. In the triangle ABC, not drawn to scale, AB is 17 cm, AC is 15 cm, BC is x\text{ cm} and angle BCA is 90^\circ. The value of x is
10. 3(b)(i)3 marks· Mathematics Q3 3(b)(i)Calculate, in metres, the length of MK.
11. 3(b)(i)2 marks· Mathematics Q3 3(b)(i)Calculate the length of BC.
12. 3(b)(i)a)1 mark· Mathematics Q3 3(b)(i)a)Using the diagram, express c in terms of a and b.
13. 3(b)(ii)2 marks· Mathematics Q3 3(b)(ii)Calculate PR, the shortest distance of the ship from the port where the journey started.
14. 3(b)(ii)3 marks· Mathematics Q3 3(b)(ii)Calculate, in metres, the length of JK.
15. 4(a)(i)2 marks· Mathematics Q4 4(a)(i)Calculate the value of x.
16. 4(a)(i)1 mark· Mathematics Q4 4(a)(i)Show that QV = 20 cm.
17. 4(b)(ii)7 marks· Mathematics Q4 4(b)(ii)Calculate correct to one decimal place the length of HD.
18. 4(c)2 marks· Mathematics Q4 4(c)Calculate, to one decimal place, the length of the edge AC.
19. 5(a)(i)2 marks· Mathematics Q5 5(a)(i)Calculate, giving your answer to 1 decimal place, the length RS.
20. 5(a)(ii)1 mark· Mathematics Q5 5(a)(ii)Using the dimensions shown on the diagram, calculate the length of OM.
21. 5(a)(iii)2 marks· Mathematics Q5 5(a)(iii)Using the dimensions shown on the diagram, calculate the length of OM'.
22. 5(b)(ii)2 marks· Mathematics Q5 5(b)(ii)Determine the length of FP
23. 6(a)(i)6 marks· Mathematics Q6 6(a)(i)Calculate, giving your answer correct to 3 significant figures, the distance KL.
24. 6(b)3 marks· Mathematics Q6 6(b)From the information on your diagram, write an equation in x which satisfies Pythagoras' Theorem. Show that the equation can be simplified to give x² + 7x - 60 = 0.
25. 6(b)(i)2 marks· Mathematics Q6 6(b)(i)Show that the diameter of the circle is 11√2 cm.
26. 9(b)(i)2 marks· Mathematics Q9 9(b)(i)Using Pythagoras theorem, write an equation in terms of a to represent the relationship among the three sides.
27. 9(b)(i)2 marks· Mathematics Q9 9(b)(i)Determine the length PS.
28. 9(b)(ii)1 mark· Mathematics Q9 9(b)(ii)Determine the length PQ.
29. 10(b)(i)1 mark· Mathematics Q10 10(b)(i)A straight adjustable wire connects R to P along the top of the cuboid. Calculate the length of the wire RP.
30. 10(b)(ii)2 marks· Mathematics Q10 10(b)(ii)The connection at P is now adjusted and moved to T. Calculate the length of the wire RT.
31. 10(b)(iii)1 mark· Mathematics Q10 10(b)(iii)Calculate the length of SR correct to 1 decimal place.
32. 11(a)(ii)a)2 marks· Mathematics Q11 11(a)(ii)a)Calculate the length PN.
33. 11(a)(ii)b)2 marks· Mathematics Q11 11(a)(ii)b)Calculate the length RS.
34. 12(a)(i)2 marks· Mathematics Q12 12(a)(i)Calculate the length of UW.