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Age 8-11

Counting triangles

What is the total number of triangles of any size you can see?

Age 11-14

Mashed potatoes

Jay and Joy are peeling potatoes for a dinner party.

They each start with the same number of potatoes to peel.

Every minute, each of them peels 2 potatoes, and Jay surreptitiously throws one of his unpeeled potatoes on Joy's pile.

After 10 minutes, Joy has three times as many potatoes still to peel as Jay.

How many potatoes did each of them start with?

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