
Being curious
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problemImagine you were given the chance to win some money... and imagine you had nothing to lose...
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problem
Street sequences
Investigate what happens when you add house numbers along a street in different ways.
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problem
Sort the street
Sort the houses in my street into different groups. Can you do it in any other ways?
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problem
Fraction fascination
This problem challenges you to work out what fraction of the whole area of these pictures is taken up by various shapes.
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problem
Trapezium four
The diagonals of a trapezium divide it into four parts. Can you create a trapezium where three of those parts are equal in area?
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problem
Domino sorting
Try grouping the dominoes in the ways described. Are there any left over each time? Can you explain why?
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problem
Brush loads
How can you arrange the 5 cubes so that you need the smallest number of Brush Loads of paint to cover them? Try with other numbers of cubes as well.
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problem
Litov's mean value theorem
Start with two numbers and generate a sequence where the next number is the mean of the last two numbers... -
problem
Semi-regular tessellations
Semi-regular tessellations combine two or more different regular polygons to fill the plane. Can you find all the semi-regular tessellations?
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problem
Two clocks
These clocks have only one hand, but can you work out what time they are showing from the information?