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AfterMaths: Kaprekar’s Constant, Odd Numbers and Everyday Problem Solving

EPISODE · Apr 10, 2026 · 24 MIN

AfterMaths: Kaprekar’s Constant, Odd Numbers and Everyday Problem Solving

from The Primary Maths Podcast

In this Aftermaths episode of The Primary Maths Podcast, Jon and Becky return after the Easter break with a lighter, curiosity-driven conversation that blends real mathematics with everyday life.Jon introduces a fascinating mathematical quirk known as Kaprekar’s constant. Starting with almost any four-digit number and following a simple process of rearranging and subtracting digits, you will always arrive at 6174. It is a brilliant example of how pattern, structure and curiosity can bring maths to life, and offers a simple but engaging classroom investigation.The conversation then shifts into “Maths of Life”, as Becky shares a very relatable problem: calculating the area of an awkwardly shaped driveway. What follows is a great discussion about different ways to break down complex shapes, and how mathematical thinking allows us to approach the same problem in multiple valid ways.Finally, Becky brings back “Etymathsology”, exploring the origins of mathematical language. This week includes the surprising Norse roots of the word “odd”, the evolution of “even”, and the historical meaning of “score” as a way of counting in twenties.As ever, the episode is a reminder that maths is everywhere, from number curiosities to home improvements to the words we use every day.If you enjoy the podcast, please follow, subscribe and leave a review. It really helps more people discover the show.We always love hearing from you. If you’ve spotted some maths in your everyday life, get in touch and we might feature it in a future episode.Email: [email protected]’s LinkedIn: https://www.linkedin.com/in/joncripwell/Substack: https://primarymathspodcast.substack.com/

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AfterMaths: Kaprekar’s Constant, Odd Numbers and Everyday Problem Solving

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