What is the Multiplication Division Rule Worksheet

A function table is one of the first places a child meets the idea that a rule can act on a number. This Multiplication Division Rule Worksheet puts six of them on one page: each table gives an IN column and an OUT column, and the student’s job is to work out the single rule that turns every IN into its OUT. That is a real reasoning move, not a recall drill. A child has to test an idea against one pair, check it against the next, and only then commit — which is exactly the pattern thinking that third-grade standards ask for when they pair multiplication and division as inverse operations.

Six tables sit in a grid across the page. Three of them run on a multiplication rule (× 3, × 9, × 6) and three on a division rule (÷ 4, ÷ 5, ÷ 8), and they alternate, so a student cannot settle into one operation and coast. Each table shows four IN numbers with the last OUT left blank, so finding the rule and applying it are two separate steps that happen in the same box. Underneath every table is a line for the rule itself. Part B then takes the same thinking off the grid and into words: two short problems ask for the rule first and the answer second, which makes the reasoning visible instead of leaving it inside the arithmetic. Use this 3rd grade input output tables page as morning work, as a small-group warm-up, or as a check before a unit test on multiplication and division facts.

What’s Included

• 1 print-ready PDF worksheet
• Answer key
• 6 IN and OUT function tables, three multiplication and three division
• A missing OUT number to fill in on every table
• A rule line under each table
• 2 word problems that ask for the rule and then the answer

This Multiplication Division Rule Worksheet helps children in three ways. First, every fact on the page stays inside 100, so the reasoning is the hard part and the arithmetic is not — a student who knows their facts can spend all of their attention on finding the rule. Second, mixing multiplication and division tables in one set forces the child to decide which operation is at work before they can start, which is the exact discrimination that a mixed-practice quiz will test. Third, asking for the rule in writing, on its own line, turns a private guess into a claim a teacher can look at, so a wrong rule is easy to spot and easy to talk about.

A few ways to stretch the page. Ask students to cover the OUT column and predict the numbers from the rule alone, then uncover and check. Have partners build a table of their own on scrap paper, trade pages, and race to name each other’s rule. Turn one table into a story out loud — if the rule is × 6 and the IN is baskets, the OUT is apples — so the numbers get a setting. For students who finish early, ask them to write the matching division rule for each multiplication table on the page and explain why the two rules undo each other.

Related Resources

• Patterns in Multiplication and Division Worksheet
• Finding Number Patterns Worksheet
• Complete the Patterns Worksheet
• Counting By Threes Song from Have Fun Teaching