Random Spectacular! - July 2012, Stage 3&4

This month we've chosen some old favourites as well as some new ideas. They're just right to round off the school year, and can be used in the classroom or at home during the holidays.

Problems

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Constructing Triangles

Age 11 to 14 Challenge Level:

Generate three random numbers to determine the side lengths of a triangle. What triangles can you draw?

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Marbles in a Box

Age 11 to 14 Challenge Level:

How many winning lines can you make in a three-dimensional version of noughts and crosses?

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Warmsnug Double Glazing

Age 11 to 14 Challenge Level:

How have "Warmsnug" arrived at the prices shown on their windows? Which window has been given an incorrect price?

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Witch's Hat

Age 11 to 16 Challenge Level:

What shapes should Elly cut out to make a witch's hat? How can she make a taller hat?

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Making Moiré Patterns

Age 11 to 18 Challenge Level:

Moiré patterns are intriguing interference patterns. Create your own beautiful examples using LOGO!

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Kite in a Square

Age 14 to 16 Challenge Level:

Can you make sense of the three methods to work out the area of the kite in the square?