Working systematically
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problemFavouriteOverlaps
Can you find ways to put numbers in the overlaps so the rings have equal totals?
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problemFavouriteUnequal averages
Play around with sets of five numbers and see what you can discover about different types of average...
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problemPair sums
Five numbers added together in pairs produce: 0, 2, 4, 4, 6, 8, 9, 11, 13, 15 What are the five numbers?
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problemFavouriteTriangles to tetrahedra
Imagine you have an unlimited number of four types of triangle. How many different tetrahedra can you make?
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problemFavouriteHow many miles to go?
How many more miles must the car travel before the numbers on the milometer and the trip meter contain the same digits in the same order?
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problemFavouriteCuboids
Can you find a cuboid that has a surface area of exactly 100 square units. Is there more than one? Can you find them all?
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problemFavouriteEfficient cutting
Use a single sheet of A4 paper and make a cylinder having the greatest possible volume. The cylinder must be closed off by a circle at each end.
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problemFavouriteUp and across
Experiment with the interactivity of "rolling" regular polygons, and explore how the different positions of the dot affects its vertical and horizontal movement at each stage.
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problemFavouriteConsecutive negative numbers
Do you notice anything about the solutions when you add and/or subtract consecutive negative numbers?