In the TUG MUCH HARDER GAME you can add, subtract, multiply or divide the 2 scores (in either order). Different versions take one operation at a time. In the full version players can choose which operation to use, and, if the answer is a whole number, use it to move the counter. If your opponent challenges you, and you have done the calculation wrongly, then the counter goes 3 steps towards your opponent’s goal.
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Click here for the TUG OF WAR worksheet
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This problem is adapted from the NRICH task Tug Harder with permission of the University of Cambridge. All rights reserved.