Pizza Portions

My friends and I love pizza. Can you help us share these pizzas equally?

Smaller and Smaller

Can you predict, without drawing, what the perimeter of the next shape in this pattern will be if we continue drawing them in the same way?

Red Balloons, Blue Balloons

Katie and Will have some balloons. Will's balloon burst at exactly the same size as Katie's at the beginning of a puff. How many puffs had Will done before his balloon burst?

Pies

Age 7 to 11 Challenge Level:

Grandma had made pies for a bake sale. She had carefully put equal amounts of mixture in each pie tin and was now trying to find the weight of the pies.

She had a problem; she only had one $200$ gram weight and one $125$ gram weight.

She found that one pie balanced on the scale with both weights and a quarter of a pie.

How heavy was each pie?