Problem Solving with Venn Diagrams · CSEC Mathematics

47 past-paper questions on Problem Solving with Venn Diagrams, part of SETS, from every CSEC Mathematics paper on Quelpr.

1. 3(a)(ii)3 marks· CSEC Mathematics · 2003 (Specimen) · Paper 2Write an equation in terms of x to represent that there are 40 students in Form 6, and solve the equation for x.
2. Q141 mark · multiple choice· CSEC Mathematics · January 2013 · Paper 1In the Venn diagram, n(X) = 5, n(Y) = 9 and n(X \cup Y) = 10. What is n(X \cap Y)?
3. Q121 mark · multiple choice· CSEC Mathematics · January 2014 · Paper 1In the Venn diagram, n(P) = 5, n(Q) = 9 and n(P \cup Q) = 10. What is n(Q \cap P)?
4. Q131 mark · multiple choice· CSEC Mathematics · January 2014 · Paper 1In the Venn diagram U = \{\text{students who play games}\} H = \{\text{students who play hockey}\} V = \{\text{students who play volleyball}\} The number of students in each set is shown. How many students do…
5. Q141 mark · multiple choice· CSEC Mathematics · January 2014 · Paper 1All students in a class play Scrabble or Checkers or both. If 36% of the students play Scrabble only and 48% of the students play Checkers only, what percentage of students play BOTH games?
6. Q141 mark · multiple choice· CSEC Mathematics · May/June 2011 · Paper 1If P = \{\text{Factors of } 6\} and Q = \{\text{Factors of } 4\}, then the shaded region represents
7. Q121 mark · multiple choice· CSEC Mathematics · May/June 2012 · Paper 1In a class of 32 students, 17 study Music and 20 study Art. What is the LEAST number of students who are studying BOTH Music and Art?
8. Q141 mark · multiple choice· CSEC Mathematics · May/June 2012 · Paper 1In the Venn diagram, n(P) = 5, n(Q) = 9 and n(P \cup Q) = 10. What is n(P \cap Q)?
9. Q131 mark · multiple choice· CSEC Mathematics · May/June 2013 · Paper 1If X and Y are two finite sets such that n(X) = 7, n(Y) = 5 and n(X \cap Y) = 3, then n(X \cup Y) is
10. Q131 mark · multiple choice· CSEC Mathematics · May/June 2015 · Paper 1In a group of 40 students, 28 play tennis and 22 play chess. What is the LEAST number of students who play BOTH tennis and chess?
11. 3(a)(i)1 mark· Mathematics Q3 3(a)(i)How many students play neither the guitar nor the violin?
12. 3(a)(i)1 mark· Mathematics Q3 3(a)(i)How many students have visited Dominica ONLY?
13. 3(a)(i)1 mark· Mathematics Q3 3(a)(i)How many students study neither Art nor Music?
14. 3(a)(i)4 marks· Mathematics Q3 3(a)(i)Calculate the number of students who take BOTH Music and Drama.
15. 3(a)(i)2 marks· Mathematics Q3 3(a)(i)Write an expression, in x, in its simplest form, for the TOTAL number of students in the class.
16. 3(a)(ii)1 mark· Mathematics Q3 3(a)(ii)Write an expression in x for the TOTAL number of students in the survey.
17. 3(a)(ii)6 marks· Mathematics Q3 3(a)(ii)Write an equation in x for the number of candidates in the universal set.
18. 3(a)(ii)5 marks· Mathematics Q3 3(a)(ii)How many members play both tennis and cricket?
19. 3(a)(ii)2 marks· Mathematics Q3 3(a)(ii)Calculate the value of x.
20. 3(a)(ii)2 marks· Mathematics Q3 3(a)(ii)Calculate the value of x.
21. 3(a)(ii)3 marks· Mathematics Q3 3(a)(ii)Calculate the value of x.
22. 3(a)(ii)1 mark· Mathematics Q3 3(a)(ii)Write an expression, in x, which represents the TOTAL number of families in the survey.
23. 3(a)(ii)1 mark· Mathematics Q3 3(a)(ii)Write an expression, in terms of x, which represents the TOTAL number of students in the class.
24. 3(a)(ii)1 mark· Mathematics Q3 3(a)(ii)Write an expression, in terms of x, to represent the TOTAL number of students who have visited Canada.
25. 3(a)(ii)1 mark· Mathematics Q3 3(a)(ii)Write an expression, in terms of x, which represents the TOTAL number of students in the survey.
26. 3(a)(ii)2 marks· Mathematics Q3 3(a)(ii)Write an expression, in x, to represent the TOTAL number of tourists in the survey.
27. 3(a)(ii)1 mark· Mathematics Q3 3(a)(ii)Calculate the number of students who take Drama ONLY.
28. 3(a)(ii)1 mark· Mathematics Q3 3(a)(ii)Calculate the number of students who study Spanish (S) but NOT French (F).
29. 3(a)(iii)2 marks· Mathematics Q3 3(a)(iii)Calculate the value of x.
30. 3(a)(iii)6 marks· Mathematics Q3 3(a)(iii)Calculate the value of x.
31. 3(a)(iii)1 mark· Mathematics Q3 3(a)(iii)Hence, state the number of students who study Music only.
32. 3(a)(iii)2 marks· Mathematics Q3 3(a)(iii)Given that there are 25 students in Form 5A, calculate the value of x.
33. 3(a)(iii)3 marks· Mathematics Q3 3(a)(iii)Calculate the number of students who study BOTH Physical Education and Music.
34. 3(a)(iii)1 mark· Mathematics Q3 3(a)(iii)Write an equation which may be used to determine the total number of students in the class.
35. 3(a)(iii)2 marks· Mathematics Q3 3(a)(iii)Calculate the value of x.
36. 3(a)(iii)2 marks· Mathematics Q3 3(a)(iii)Determine the number of students in Form 5 who used ONLY cameras.
37. 3(a)(iii)2 marks· Mathematics Q3 3(a)(iii)Determine the number of students who study BOTH History and French.
38. 3(a)(iii)1 mark· Mathematics Q3 3(a)(iii)Write an equation which may be used to solve for x.
39. 3(a)(iv)2 marks· Mathematics Q3 3(a)(iv)How many students play the guitar?
40. 3(b)(ii)2 marks· Mathematics Q3 3(b)(ii)Write an expression in x to represent the TOTAL number of customers who visited the bakery on that day.
41. 3(b)(ii)1 mark· Mathematics Q3 3(b)(ii)Write an expression in x for the number of students in the survey.
42. 3(b)(iii)3 marks· Mathematics Q3 3(b)(iii)Calculate the number of customers who bought bread ONLY.
43. 3(b)(iii)5 marks· Mathematics Q3 3(b)(iii)Calculate the value of x.
44. 3(c)(i)1 mark· Mathematics Q3 3(c)(i)Determine how many elements are in EACH of the following sets: A ∪ B
45. 3(c)(ii)1 mark· Mathematics Q3 3(c)(ii)Determine how many elements are in EACH of the following sets: A ∩ B
46. 3(c)(iii)1 mark· Mathematics Q3 3(c)(iii)Determine how many elements are in EACH of the following sets: (A ∩ B)'
47. 3(c)(iv)1 mark· Mathematics Q3 3(c)(iv)Determine how many elements are in EACH of the following sets: U