O Level Set Theory Quizzes

Revising Set Theory with Quizzes

(Set Theory quizzes for students doing O level, GCSE, GCE, and necta.) 

Set Theory is a limb of logic that studies what is known as a set. 

A Set is a collection of well defined objects. Here at gcequiz, our quizzes have in them some basic terms that we need to know. Terms like, Union, Intersection, Cardinal number and so many others

Sets are generally subdivided into two, Finite sets and Infinite sets. There are other types of sets such as null sets, subsets, universal sets and so many other types of sets. Below, we're going to look at the definitions of some of these types of sets.

A Finite set is a set that has been delimited. 

Example. A={x:x is an odd number, 0<x<10} This is a finite set because if we want to list the elements of this set, we're going to have an end. A={1,3,5,7,9}

An Infinite set is a set that is not delimited, meaning that it has no end

Example. B= {x:x ∈ N, x>5}. If we start to list the elements of this set, we will never finish. B={6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24...} the set B never reaches it's end. That is why the set B is know an infinite set.

We're going to use an example to define what a subset is. Given the set X={1,2,3,4,5,6,7,8,9} and the set Y={2,4,6,8), Y is a subset of X, denoted Y⊆X which means that all the elements found in the set Y are also found in the set X.

A universal set is a collection of all elements in a particular place or particular context.  All the sets in that context or place are subsets of the universal set. Universal sets are represented as U.

Example. We may define U as the set of all animals on earth. In this case, a set of all mammals is a subset of the Universal set, U, set of all fishes is a subset of U, and so on.

An  empty set or a null set is a set that contains no element and it is by ∅ or {} and not {∅}. 

Example.  C = {x:x ∈ N and 7 < x < 8 } = ∅ ≠ {∅} and this is an empty set because there is not natural number found in between 7 and 8 exclusively.

To know more about what union and intersection and intersection of sets are, click Here.

Our quizzes are going to focus on most of these aspects. So if you want to test yourself to know how good you are in O level set theory, select a quiz below and start testing yourself and improving on what you know. Visit O level mathematics if you wish to change the topic. The quizzes here are to help you to improve on what you know about sets. With all that said are you confident to answer all our quizzes? if yes then try them below.

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