Problem Solving Strategies: Cwazy Integers Maths Worksheet

Two-digit numbers divisible by each of their own digits, called 'cwazy' integers, anchor a problem-solving worksheet built on a five-step process that moves from solo work to class discussion.
Year groups
Years 7–10 (Key Stages 3–4)
File type
PDF
Preparation
Print ready

Updated Sep 20, 2026

Subject
Numbers, Maths
Topic
Integers Worksheet, Integers Problem
Resource types
Worksheets
Preparation
Print ready

From the author

About this resource

Problem Solving Strategies: Cwazy Integers Maths Worksheet This maths worksheet focuses on developing problem-solving skills in integer operations. Students are given an integer problem and asked to solve it by following five key steps: Think, Conjecture, Discuss, Trial, and Review. Blank space is provided for students to show their work. Using this structured approach to unpacking word problems scaffolds students' ability to comprehend the problem, strategise a solution, test their understanding, and reflect on the process. Implementing this worksheet with individuals, small groups, or the whole class builds critical thinking skills for integer operations. The concise layout and clear guidelines make this an easy-to-implement resource for reinforcing problem-solving strategies with students in Years 7–10.

In the classroom

Teaching tips & learning objectives

Learning objectives

  • Determine whether a number is divisible by each of its digits

  • Search a number range systematically for every solution

Teaching tips

  • The strategy notes and the full list of 14 answers are on page 2, so hand out page 1 on its own until students have tried the search.

Skills covered

  • Divisibility reasoning — testing two-digit numbers against each of their digits

  • Systematic search — organising a list so no number between 10 and 100 is missed

  • Collaborative reasoning — comparing strategies with a partner and the class

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