Set Builder Worksheet/Game
Related Pages
Printable Math Worksheets
Online Math Quizzes
Math Games
Math Worksheets
This Set Builder Worksheet/Game is a great way to put your skills to the test in a fun environment. By practicing, you’ll start to work out the answers efficiently.
Set Builder Worksheet/Game
Welcome to Set Builder Worksheet/Game. This game is a hands-on puzzle game where you act as the “set builder.” You have to manually pick which specific numbers belong in a set based on mathematical operations. Scroll down the page for a more detailed explanation.
How to Play
-
Study the Given Sets
At the top, you’ll see three definitions:
U (Universal Set): In this game, it is always the numbers 1 through 9.
A and B: These are random subsets of U. Look at these carefully! These are your source lists. -
The “Construct” Challenge
The blue box will give you a specific set operation to perform, such as:
A ∪ B (Union): Pick every number that appears in A, B, or both.
A ∩ B (Intersection): Pick only the numbers that appear in both A and B.
A’ or B’ (Complement): Pick every number from U that is NOT in the specified set. -
Selecting Elements
Click the numbers (1-9) in the grid to select them. Selected numbers will turn solid blue.
Click a number again if you want to deselect it.
Empty Set (∅): If the answer has no numbers (for example, if A and B share no common elements during an intersection), simply click SUBMIT SET without selecting any numbers.
Understanding the Feedback
Once you hit submit, the grid will light up to show you how you did:
Green Background: These are the numbers that should have been in your set.
Red Background + Strikethrough: These are numbers you picked that didn’t belong there.
Gray/Faded: These numbers were correctly left out of the set.
Quick Reference Guide
| Operation | Symbol | Goal |
|---|---|---|
| Union | A ∪ B | “Join” them. Select everything in A and everything in B. |
| Intersection | A ∩ B | “Overlap.” Select only what they have in common. |
| Complement | A' | “Opposite.” Select everything from 1-9 that is not in A. |
Tip:
For A ∪ B, select all the numbers in Set A first, then look at Set B and select any numbers there that are not clicked yet.
Sets: Union, Intersection, Complement
Check out our most popular games!
Fraction Concoction Game:
Master fractions in the lab: mix, add, and subtract beakers to create the perfect concoction!
Fact Family Game:
Complete fact families and master the link between addition & subtraction and multiplication & division.
Number Bond Garden:
Clear the board by matching number pairs that sum to ten in this garden-themed mental math puzzle.
Online Addition Subtraction Game:
Practice your addition and subtraction skills to help the penguin find its mummy.
We welcome your feedback, comments and questions about this site or page. Please submit your feedback or enquiries via our Feedback page.