Being resourceful
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problemFavouriteSnappy Statements
Use properties of numbers to work out whether you can satisfy all these statements at the same time.
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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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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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problemFavouriteLitov's Mean Value Theorem
Start with two numbers and generate a sequence where the next number is the mean of the last two numbers...
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problemFavouriteA Chance to Win?
Imagine you were given the chance to win some money... and imagine you had nothing to lose...
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problemFavouriteWhich Solids Can We Make?
Interior angles can help us to work out which polygons will tessellate. Can we use similar ideas to predict which polygons combine to create semi-regular solids?
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problemFavouriteSquare It
Players take it in turns to choose a dot on the grid. The winner is the first to have four dots that can be joined to form a square.