Constant of proportionalityThe constant of proportionality
Name: Date:
Find the constant of proportionality for each table.
1x3789y6141618k
2x5679y25303545k
3x2378y16245664k
4x3689y33668899k
5x5789y20283236k
6x2567y16404856k
Finding k from a table worksheets
In a proportional table the same number turns every x into its y, and that number is the constant of proportionality. These free printable worksheets ask for it, read straight off the table — nothing written, nothing solved yet.
If they get stuck
Finding k from a table
The answer key prints on a separate page.
What's on this sheet
The constant is a division: y ÷ x, worked from any column of the table. Where 2 costs 24 and 5 costs 60, the constant is 12 — the amount for one — and every column agrees because a proportional table is exactly one that does. Each table here is built so that division lands on a whole number, so the reasoning stays visible instead of being buried under long division.
Why this sheet works
A single column can lie, and checking a second is the habit these sheets train. A table where 2 gives 24 but 5 gives 55 is not proportional at all, and a child who reads k off the first row alone would never notice. The constant has to hold all the way across, and confirming it is the difference between finding a pattern and testing one.
How this one works
One question from a sheet like this one, worked a step at a time — with a sentence saying what just happened and why.
Finding k from a table, step by step