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Problem Solving Tactics: Revealing Remainders | Math Worksheet

Remainder pattern problem: students find and prove the remainder when a sum of consecutive cubes is divided by 7, then compare their reasoning with the worked solution.
Grades
Grades 4–6, Elementary, Middle School
File type
PDF
Preparation
Print ready

Updated Oct 13, 2026

Subject
Math, Algebra
Topic
remainders, math problems
Resource types
Worksheets & Printables, Worksheets
Preparation
Print ready

About this resource

What's inside this resource

This math worksheet focuses on Problem Solving Tactics for Revealing Remainders.

This printable will give students a problem to solve and enough blank space to begin solving it.

The solution is on the reverse side.

In the classroom

Teaching tips & learning objectives

Learning objectives

  • Find a remainder pattern for a sum of cubes divided by 7
  • Justify why the pattern holds

Skills covered

  • Modular reasoning — tracking remainders as cubes are added

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Resource details

Concepts & topics

Core concepts

  • Modular arithmetic
  • Remainders
  • Sum of cubes
  • Number patterns

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