This task assesses how well students understand systematic listing and possibility space diagrams.

A game uses two spinners marked in equal sections with the numbers 1 to 9. Players fill in nine different numbers on a card. Both spinners are spun, and the numbers added to make a score. If a player has that number on their card, then they cross the number off.

Students are given three filled in cards and asked to evaluate which card has the best possible chance of winning. Students then fill in a card of their own to give the best possible chance of winning, and must justify their choice of numbers.

This task is from the Mathematics Assessment Resource Service, a collaboration between UC Berkeley and the Shell Centre team at the University of Nottingham. A full rubric is given for the task, together with examples of student work and suggestions for helping students overcome misconceptions. Further information on the collection is given here.

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