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Inverse Operations Worksheet – Multiplication & Division

Six given number triples ask students to write the four related multiplication and division sums that connect them, before a second page removes the numbers entirely.
Grades
Grades 3–4
File type
PDF
Preparation
Print ready

Updated Feb 21, 2024

Subject
Multiplication, Division, Multiplication and Division, Math
Topic
Inverse Operations, Writing Sums
Resource types
Worksheets, Worksheets & Printables
Preparation
Print ready

From the author

About this resource

Inverse Operations Multiplication and Division Worksheet Students will practice using inverse operations, an important math concept, with this 2-page printable. Inverse operations are two mathematical processes that undo each other. On page 1, students are given number sets to create four related equations - two multiplication and two division. On page 2, students generate their own number sets and equations. This increases the challenge and tests their grasp of inverse operations. Use this versatile resource during small group instruction, math centres, partner work, exit tickets, or assessments. Extend the learning by having students swap papers to solve each other's equations. This worksheet helps cement students' understanding of multiplication, division and inverse operations. Suitable for grades 3-4.

In the classroom

Teaching tips & learning objectives

Learning objectives

  • Write two multiplication sums and two division sums that connect the same set of three related numbers.

  • Recognize multiplication and division as inverse operations that use the same three numbers in different arrangements.

  • Generate an original fact family of three related numbers and write its four corresponding sums.

Teaching tips

  • Review the worked Q1 example (7, 70, 10) as a class before assigning the remaining given-number items, since it's the only fully modeled fact family in the file.

  • Assign page 1 (given numbers) first and page 2 (student-chosen numbers) as a follow-up once students are comfortable with the pattern.

  • Since there is no answer key, check page 1 answers against the fixed number triples, and review page 2 responses individually since students choose their own numbers.

Skills covered

  • Fact-family construction — students write two multiplication and two division sums that connect the same three numbers (e.g., 7, 70, 10 → 7 × 10 = 70, 70 ÷ 7 = 10).

  • Inverse-operation reasoning — students apply the relationship between multiplication and division to derive all four sums from one triple.

  • Independent number selection — students choose their own related number triples and construct a valid fact family from them.

Good to know

Questions teachers ask about this resource

Are all twelve fact-family prompts set up the same way?

No — Q1-Q6 supply three numbers for students to work with, while Q7-Q12 give no numbers at all, asking students to choose their own three related numbers first.

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