Have a play around with this task, and please share any questions, extensions, simplifications, modifications, or lines of inquiry in the comment box below. The idea is to collect loads of suggestions that can then be used for effective differentiation. The full set of these tasks, along with additional notes, can be found here: http://www.mrbartonmaths.com/blog/probing-maths-questions-index-page/
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• What cuboid has the largest/smallest surface area?<br /> • What cuboid has the largest/smallest total length of edges?<br /> • What cuboid has the largest/smallest single face?<br /> • What cuboid has the longest/shortest single edge length?<br /> • What cuboid has the largest/smallest amount of cubes completely hidden?<br /> • How about the number of cubes where you can see 1/2/3 sides?<br /> • Predict what your answers to the above questions would be if you started with 36/30/20 cubes and then test your predictions.<br />
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