Reasoning, convincing and proving

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

Can you work out how these polygon pictures were drawn, and use that to figure out their angles?

Are these statements relating to odd and even numbers always true, sometimes true or never true?

Are these statements relating to calculation and properties of shapes always true, sometimes true or never true?

Are these statements always true, sometimes true or never true?

Three of Santa's elves and their best friends are sitting down to a festive feast. Can you find the probability that each elf sits next to their bestie?