SET THEORY END-OF-TERM EXAM

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SECTION A: MULTIPLE CHOICE QUESTIONS (20 MARKS)

  1. Which of the following is the correct notation for the empty set?

a) {}                       b) Ø                      c) ∅                       d) All of the above

  1. Which of the following is true about sets?

a) Sets can have duplicate elements.                       b) The order of elements in a set matters.

c) The cardinality of a set is the number of distinct elements it contains.

d) All of the above

  1. Which of the following is the correct way to represent a set of natural numbers less than 10? a) {0,1,2,3,4,5,6,7,8,9}                b) {x | x is a natural number and x < 10} c) N                   d) All of the above
  1. Which of the following sets is a subset of {1,2,3}?

a) {0,1,2,3}                         b) {1,2,3,4}                         c) {2,3,4}            d) None of the above

  1. Which of the following statements is true?

a) If A is a subset of B and B is a subset of C, then A is a subset of C.

b) If A is a proper subset of B, then B is a proper subset of A.

c) If A and B are disjoint sets, then their intersection is the empty set.

d) All of the above

SECTION B: SHORT ANSWER QUESTIONS (30 MARKS)

  1. Define the following terms: set, element, subset.
  2. Give an example of a set and list its elements.
  3. Let A = {1,2,3,4,5} and B = {3,4,5,6,7}.

Determine whether the following statements are true or false and give a reason for your answer:

a) 2 is an element of A. _____________________ b) B is a subset of A. _____________________

c) The intersection of A and B is {3,4,5}.______________________

4. Let A = {1,2,3,4} and B = {3,4,5,6}. Determine the following sets:

a) A union B ________________________ b) A intersect B __________________ c) A – B _______________

SECTION C: ESSAY QUESTION (50 MARKS)

Explain the difference between an element of a set and a subset of a set. Give an example to illustrate the difference and explain how you would determine whether an element belongs to a given set or whether a set is a subset of another set.

END OF EXAM

I hope this exam paper template helps you get started on creating your own end-of-term exam on sets!

Please also see exam papers on the following topics:

FRACTIONS END-OF-TERM EXAM, DECIMALS END-OF-TERM EXAM

Grade 5 End of Term Science Test

Materials – Properties and their Uses,

Published by Elorine

Dedicated Early Childhood and Primary Educator, who strive to empower students to be creative self-directed learners, using education to ignite the fire within themselves and others. Experience in establishing and fostering friendly, understanding agreement between students, parents and teachers that matures into prosperous lasting relationships. Acknowledging God; as the fountain and source of all knowledge.