Being curious

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

Isometric Areas explored areas of parallelograms in triangular units. Here we explore areas of triangles...

Take a four digit number. Move the first digit to the end and move the rest along. Now add your two numbers...

Charlie and Abi put a counter on 42. They wondered if they could visit all the other numbers on their 1-100 board, moving the counter using just these two operations: ×2 and -5. What do you think?

Liam's house has a staircase with 12 steps. He can go down the steps one at a time or two at time. In how many different ways can Liam go down the 12 steps?

Think of two whole numbers under 10, and follow the steps. I can work out both your numbers very quickly. How?

There are lots of ideas to explore in these sequences of ordered fractions.

Can you maximise the area available to a grazing goat?

When number pyramids have a sequence on the bottom layer, some interesting patterns emerge...

If you move the tiles around, can you make squares with different coloured edges?