Resources tagged with: Proof by exhaustion

There are 5 NRICH Mathematical resources connected to Proof by exhaustion, you may find related items under Thinking Mathematically.

Broad Topics > Thinking Mathematically > Proof by exhaustion

School Fair Necklaces

Age 5 to 11
Challenge Level

How many possible necklaces can you find? And how do you know you've found them all?

Mastering Mathematics: the Challenge of Generalising and Proof

Age 5 to 11

This article for primary teachers discusses how we can help learners generalise and prove, using NRICH tasks as examples.

Proving

Age 7 to 11

These tasks provide opportunities for learners to get better at proving, whether through proof by exhaustion, proof by logical argument, proof by counter example or generic proof.

Code to Zero

Age 16 to 18
Challenge Level

Find all 3 digit numbers such that by adding the first digit, the square of the second and the cube of the third you get the original number, for example 1 + 3^2 + 5^3 = 135.

Exhaustion

Age 16 to 18
Challenge Level

Find the positive integer solutions of the equation (1+1/a)(1+1/b)(1+1/c) = 2