Explaining, convincing and proving
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problemFavouriteSixty-Seven Squared
Evaluate these powers of 67. What do you notice? Can you convince someone what the answer would be to (a million sixes followed by a 7) squared?
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problemFavouriteThree by One
There are many different methods to solve this geometrical problem - how many can you find?
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problemFavouriteStats Statements
Are these statistical statements sometimes, always or never true? Or it is impossible to say?
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problemFavouriteDirect Logic
Can you work through these direct proofs, using our interactive proof sorters?
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problemFavouriteDangerous Driver?
Was it possible that this dangerous driving penalty was issued in error?
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problemFavouriteAreas and Ratios
Do you have enough information to work out the area of the shaded quadrilateral?
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problemFavouriteShape and Territory
If for any triangle ABC tan(A - B) + tan(B - C) + tan(C - A) = 0 what can you say about the triangle?