NRICH: What's it Worth?

There are lots of different methods to find out what the shapes are worth – how many can you find?

Each symbol has a numerical value. The total for the symbols is written at the end of each row and column.

Can you find the missing total that should go where the question mark has been put?


There’s a lot of information in the grid, so you will need to make some choices about what to focus on first. Click below to see some images that draw your attention to particular parts of the grid.

What can you deduce from each image?

Image 1
Image 2
Image 3
Image 4
Image 5
Image 6
Can you find any other ways of solving the problem?
You can apply these strategies to similar problems.
Fruity Totals can be used to generate lots of different examples.

Age 11 to 16

Algebra & Pre-Algebra, Equations
Middle School, High School, Educator

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NRICH (University of Cambridge)

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