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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Warmsnug Double Glazing

Stage: 3 Challenge Level: Challenge Level:1

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

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Constructing Triangles

Stage: 3 Challenge Level: Challenge Level:1

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

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Witch's Hat

Stage: 3 and 4 Challenge Level: Challenge Level:1

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

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Marbles in a Box

Stage: 3 and 4 Challenge Level: Challenge Level:2 Challenge Level:2

In a three-dimensional version of noughts and crosses, how many winning lines can you make?

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Making Moiré Patterns

Stage: 3, 4 and 5 Challenge Level: Challenge Level:1

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

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Kite in a Square

Stage: 4 Challenge Level: Challenge Level:1

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