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Network Trees

Explore some of the different types of network, and prove a result about network trees.

Always Two

Find all the triples of numbers a, b, c such that each one of them plus the product of the other two is always 2.

Symmetricality

Five equations and five unknowns. Is there an easy way to find the unknown values?

Continuing to Explore Four Consecutive Numbers

Age 14 to 16
Challenge Level

This is the second problem in a set of three.  The other two are:

Starting to Explore Four Consecutive Numbers and

Is There More to Discover About Four Consecutive Numbers?

This set of problems offers students the opportunity to explore, conjecture and use algebra to justify their findings.

This problem featured in the NRICH Secondary webinar in June 2022.