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
