Factors, Multiples and Primes
Key Stage: 3 ★★★
If you choose three numbers, and find the products of their differences, what do you notice about the result? Can you explain why this always happens?
At the heart of this problem is using a representation which helps to simplify the situation. For example, in the first part, using the fact that any number is either odd or even reveals the structure. The context and argument can be based on modulo arithmetic. Working from specific cases in order to generalise is a mathematical technique that can also be highlighted.
This resource has comprehensive teachers' notes and resources, linked from the problem page. This includes possible approaches and key questions, as well as possible support and extensions.
The file attached is a HTML file, which, when opened, automatically redirects you to the problem on the NRICH website.
Key Stage: 3 ★★★
If you choose three numbers, and find the products of their differences, what do you notice about the result? Can you explain why this always happens?
At the heart of this problem is using a representation which helps to simplify the situation. For example, in the first part, using the fact that any number is either odd or even reveals the structure. The context and argument can be based on modulo arithmetic. Working from specific cases in order to generalise is a mathematical technique that can also be highlighted.
This resource has comprehensive teachers' notes and resources, linked from the problem page. This includes possible approaches and key questions, as well as possible support and extensions.
The file attached is a HTML file, which, when opened, automatically redirects you to the problem on the NRICH website.
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Good website
A challenging activity which should get students thinking. Like all Nrich resources, teachers' notes and solutions are provided. I like the way Nrich provide tags for ch activity giving an at a glance guide to the content.
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