Being resourceful
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problemFavouriteAttractive Tablecloths
Charlie likes tablecloths that use as many colours as possible, but insists that his tablecloths have some symmetry. Can you work out how many colours he needs for different tablecloth designs?
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problemFavouriteOdds and Evens Made Fair
In this follow-up to the problem Odds and Evens, we invite you to analyse a probability situation in order to find the general solution for a fair game.
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problemFavouriteDifference of Two Squares
What is special about the difference between squares of numbers adjacent to multiples of three?
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problemFavouritePythagoras Perimeters
If you know the perimeter of a right angled triangle, what can you say about the area?
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problemFavouriteMultiplication Arithmagons
Can you find the values at the vertices when you know the values on the edges of these multiplication arithmagons?
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problemFavouritePuzzling Place Value
Can you explain what is going on in these puzzling number tricks?
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problemFavouriteBendy Quad
Four rods are hinged at their ends to form a convex quadrilateral. Investigate the different shapes that the quadrilateral can take. Be patient this problem may be slow to load.
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problemFavourite2-Digit Square
A 2-digit number is squared. When this 2-digit number is reversed and squared, the difference between the squares is also a square. What is the 2-digit number?