Being curious

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

Take an equilateral triangle and cut it into smaller pieces. What can you do with them?

We usually use squares to measure area, but what if we use triangles instead?

Which of these pocket money systems would you rather have?

In the 2020 Olympic Games, sport climbing was introduced for the first time, and something very interesting happened with the scoring system. Can you find out what was interesting about it?

Investigate how you can work out what day of the week your birthday will be on next year, and the year after...

Identical squares of side one unit contain some circles shaded blue. In which of the four examples is the shaded area greatest?

Which set of numbers that add to 100 have the largest product?

In how many ways can you fit all three pieces together to make shapes with line symmetry?

How many different symmetrical shapes can you make by shading triangles or squares?