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Pizza Portions

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

Doughnut

How can you cut a doughnut into 8 equal pieces with only three cuts of a knife?

Pies

Grandma found her pie balanced on the scale with two weights and a quarter of a pie. So how heavy was each pie?

Fraction Fascination

Age 7 to 11
Challenge Level

square divided into four triangles

I drew this picture by drawing a line from the top right corner of a square to the midpoint of each of the opposite sides. Then I joined these two midpoints with another line.

Can you see four triangles in the square?

What fraction of the area of the square is each of these triangles?

Then I drew another picture:

new design
How is this made using the first square?

What is the shape that has been created in the middle of this larger square?

What fraction of the total area of the large square does this shape take up?
The NRICH Project aims to enrich the mathematical experiences of all learners. To support this aim, members of the NRICH team work in a wide range of capacities, including providing professional development for teachers wishing to embed rich mathematical tasks into everyday classroom practice.
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NRICH is part of the family of activities in the Millennium Mathematics Project.