Reasoning, convincing and proving

problem
Open squares

Age

7 to 11

Challenge level

This task, written for the National Young Mathematicians' Award 2016, focuses on 'open squares'. What would the next five open squares look like?
problem
Star polygons

Age

11 to 14

Challenge level

Draw some stars and measure the angles at their points. Can you find and prove a result about their sum?
problem
Same length

Age

11 to 16

Challenge level

Construct two equilateral triangles on a straight line. There are two lengths that look the same - can you prove it?
problem
Subtraction surprise

Age

7 to 14

Challenge level

Try out some calculations. Are you surprised by the results?
problem
Mega quadratic equations

Age

14 to 18

Challenge level

What do you get when you raise a quadratic to the power of a quadratic?
list
Reasoning, convincing and proving - short problems

Age

11 to 16

A collection of short Stage 3 and 4 problems requiring Reasoning, Convincing and Proving.
list
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.