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
- Preparation
- Print ready
- 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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Resource details
Concepts & topics
Core concepts
Divisibility
Integers
Problem-solving strategies
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